Curriculum Design for Effective Learning Outcomes

Curriculum

INSPIRING
EXCELLENCE

Primary school students proactive learning at Creators International School. PRIMARY SCHOOL

Our primary school curriculum sparks curiosity and nurtures a love for discovery. It integrates exploration and play with academic learning, covering core subjects such as languages, mathematics, sciences, and social studies. The curriculum is further enriched by the arts, including art, drama, and music, and extends to physical education. This approach ensures a holistic engagement for students.

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Middle school students engaging with teacher at Creators International School. MIDDLE SCHOOL

The middle school curriculum provides a balanced educational experience emphasising both academic discipline and creative inquiry. Courses include English, Spanish, physics, chemistry, biology, computer science, history, geography, and the arts, with a strong focus on STEM disciplines. This structure fosters intellectual engagement and critical thinking.

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Science High school students learning at Creators International School. HIGH SCHOOL

The high school curriculum centers around a robust STEM foundation, enriched by English and elective courses. We enhance future readiness with classes in entrepreneurship, economics, public speaking, and university preparation. Our approach aims for deep comprehension and genuine mastery of each subject.

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OUR
CURRICULUM
OUR APPROACH
TO STEM
UNIVERSITY
PREPARATIONS
OLYMPIADS
AND COMPETITIONS

OUR
CURRICULUM

OUR
CURRICULUM

At Creators International School, our academic environment not only facilitates students’ entry into prestigious universities but also nurtures a culture of genuine scholarship, intellectual exploration, autonomous thinking, and mastery. Our curriculum extends beyond mere preparation for British Curriculum examinations; it is both structured and flexible, promptly adapting to evolving educational needs. Additionally, our extended curriculum provides a stimulating and expansive educational experience, enhancing students’ comprehension and insight. While we intentionally focus on STEM subjects, we recognize the importance of balance for all individuals. Our well-crafted curriculum draws elements from various global curricula to produce balanced, reflective and ethical scientific leaders.

OUR APPROACH
TO STEM

OUR APPROACH
TO STEM

Our teaching philosophy in STEM subjects is inquiry-based and deeply rooted in fostering understanding, critical thinking, innovation, and ethical creativity. We prioritise conceptual comprehension and critical thinking over rote learning. Our students do not just learn formulas; they understand the underlying principles. We empower them to tackle real-world problems. They become creators, designing innovative solutions, and grappling with ethical implications. Hands-on projects, and industry partnerships ensure they are well-prepared for the ever-evolving tech landscape. It is a requirement for all students to accomplish a substantial research project in the STEM field before concluding their studies at Creators. This project aligns with their personal passions and interests, and it serves as significant evidence of their mastery of their chosen research field.

UNIVERSITY
PREPARATIONS

UNIVERSITY
PREPARATIONS

We are committed to preparing our students for entry into the leading universities in the United Kingdom, the United States and the rest of the world. Our rigorous academic curriculum is complemented by personalised coaching and mentorship, ensuring that each student is well-prepared for the unique challenges of university admissions. We focus on developing critical thinking, problemsolving, and communication skills, which are essential for success in entrance tests (e.g. SAT, STEP) and interviews. Our students also receive guidance with crafting compelling personal essays that effectively showcase their research projects, achievements, aspirations, and personal growth. Our commitment to our students’ success extends beyond university admissions: Our robust curriculum is designed to not only help students gain access to top universities but also to thrive and excel once they get there.

OLYMPIADS
AND COMPETITIONS

OLYMPIADS
AND COMPETITIONS

Olympiads and competitions are opportunities to recognise and celebrate great talent and are also catalysts for intellectual development and innovation. Our accomplished teachers, who are specialists in their fields, assist our students in preparing for these events. They transcend conventional teaching methods to cultivate divergent thinking, innovative problem-solving techniques, and metacognition. Competing builds curiosity, thinking skills, and self-confidence, opening doors to prestigious universities and future opportunities. We are committed to creating an environment that celebrates original thinking, excellence and achievement and empowers each student to excel in their unique way, ready to face the future with confidence and resilience.

Year by year

What our students study, year by year. Open a year, then a subject, to see the programme in detail.

Part of the programme is not published yet: the primary years, Year 12, and art, drama, music and physical education.

Creating imagery using figurative language – focusing on experiences

(Exposition) Characterisation – how do we get to know the characters in books: STEAL (speech, thoughts, effect on others, actions, looks)

Setting – pathetic fallacy – mood, symbols, connotations, semantic fields

Freytag’s pyramid – associated terminology

Conclude Wolves of Willoughby Chase – review/analysis

Orange – Wendy Cope

Out of the Blue – Simon Armitage

Sonnet 18: Shall I compare thee to a summer’s day? – Shakespeare

One Art – Elizabeth Bishop

Write Haiku

Description – Exploring key ideas and vocabulary choices to create an engaging description.

Information – Identifying and summarising key points, exploring text structure.

Intention and response – Considering the writer's intention and backing up a response with evidence.

Sentence structure for effect – Exploring how writers use sentence length to achieve intent.

Argument – Exploring how a writer expresses a point of view to influence opinions.

Newspaper report – Focusing on structuring news articles and catchy vocabulary.

Comparing texts – Comparing similarities and differences across two articles.

Letters – Exploring the structural conventions of formal/informal letters.

Reviewing and revising – Developing editing skills to check accuracy and effectiveness.

Description – Exploring key ideas and vocabulary choices to create an engaging description.

Information – Identifying and summarizing key points, exploring text structure.

Intention and response – Considering the writer's intention and backing up a response with evidence.

Sentence structure for effect – Exploring how writers use sentence length to achieve intent.

Argument – Exploring how a writer expresses a point of view to influence opinions.

Newspaper report – Focusing on structuring news articles and catchy vocabulary.

Comparing texts – Comparing similarities and differences across two articles.

Letters – Exploring the structural conventions of formal/informal letters.

Reviewing and revising – Developing editing skills to check accuracy and effectiveness.

Frankenstein performance - rehearsal

Description – Exploring key ideas and vocabulary choices to create an engaging description.

Information – Identifying and summarizing key points, exploring text structure.

Intention and response – Considering the writer's intention and backing up a response with evidence.

Sentence structure for effect – Exploring how writers use sentence length to achieve intent.

Argument – Exploring how a writer expresses a point of view to influence opinions.

Newspaper report – Focusing on structuring news articles and catchy vocabulary.

Comparing texts – Comparing similarities and differences across two articles.

Letters – Exploring the structural conventions of formal/informal letters.

Reviewing and revising – Developing editing skills to check accuracy and effectiveness.

Exploring and responding – Initial text exploration and basic comprehension.

Responding to ideas – Deeper analytical interpretation.

Responding to a poem – Introduction to poetic themes and emotional impact.

Selecting evidence – Learning to extract quote-based evidence.

Exploring vocabulary – Analysing word choice and tone.

Exploring figurative language – Breaking down similes, metaphors, and personification.

Exploring form – Understanding different formats of literature.

Exploring structure – Looking at formatting, stanzas, and pacing.

Comparing poems – Side-by-side literary comparison.

Completion of Kensuke’s Kingdom/Private Peaceful

Describing – Sensory descriptions surrounding food and culture.

Persuading – Introduction to the concepts of non-fiction persuasion.

Vocabulary choice – Elevating descriptive adjectives and verbs.

Persuasive vocabulary – Mastering high-impact call-to-action language.

Structuring persuasive writing – Building logical arguments.

Structuring persuasive sentences – Using varied sentence lengths to hold attention.

Rhetorical devices – Deploying tools like rule of three, hyperbole, and rhetorical questions.

Leaflets – Exploring multi-modal structures and layouts for informative media.

Reviewing, revising and proofreading – Self-editing frameworks.

Exploring key features – Breaking down instructional and transactional texts.

Exploring an instruction text – Analysing layouts and writing a guided instructional guide.

Organising information – Structuring non-fiction texts logically.

Choosing precise vocabulary – Selecting technical language to convey info clearly.

Writing clearly – Structuring complex sentences for straightforward readability.

Paragraphing information – Advanced formatting and smooth topical transitions.

Engaging the reader – Balancing an informative tone with an entertaining narrative style.

Reaching conclusions – How to seamlessly open and close non-fiction texts.

Planning a lesson – Preparing frameworks for an informative speech.

Speeches

Entry diagnostic: number, fractions, ratio, algebraic notation and non-routine reasoning

Addition of integers

Subtraction of integers

Multiplication and division of integers

Four operations on integers

Estimation and checking in integer calculations

Integer-operations diagnostic feedback and parallel recheck; reverse calculations if secure

Multiples and factors

Prime and composite numbers

Highest common factor

Lowest common multiple

Multiples, factors and HCF/LCM feedback and parallel recheck; factor-pair puzzles if secure

Divisibility tests for 2, 5 and 10

Divisibility tests for 3 and 9

Divisibility tests for 4 and 8

Divisibility tests for 6 and 11

Square numbers

Square roots

Problems with squares and square roots

Cube numbers

Cube roots

Problems with cubes and cube roots

Divisibility puzzles

Square and cube number problems

Number-structure conjectures and proofs

Chapter review: Number

Chapter review: Fractions, decimals and percentages

Chapter review: Ratio and proportion

Chapter review: Algebra

Chapter review: Inequalities, sequences, functions and graphs

Topic check 1 and feedback: Number

Topic check 2 and feedback: Fractions, decimals and percentages

Topic check 3 and feedback: Ratio and proportion

Topic check 4 and feedback: Algebra

Topic check 5 and feedback: Inequalities, sequences, functions and graphs

Improper fractions and mixed numbers

Conversion between improper fractions and mixed numbers

Addition of mixed numbers

Addition of mixed numbers with regrouping

Estimation and checking with mixed numbers

Multiplication of proper fractions

Division of proper fractions

Fraction operations in context

Order of operations with fractions

Fractions as terminating decimals

Decimals as fractions in simplest form

Comparison of fractions and decimals

Ordering fractions and decimals

Rounding to decimal places

Rounding in context

Addition and subtraction of signed decimals

Multiplication and division of decimals

Multiplication and division by positive powers of 10

Combined operations with decimals

Percentages as fractions

Percentages as decimals

Fractions as percentages

Decimals as percentages

One quantity as a percentage of another

Percentages below 1% and above 100%

Non-routine fraction and percentage problems

First cumulative assessment: Chapters 1–2

Second cumulative assessment — Paper 1

Second cumulative assessment — Paper 2

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2: unfamiliar reasoning and mathematical writing

First cumulative Algebra assessment correction and parallel recheck; targeted practice if secure

Ratio notation

Ratio as a comparison

Simplifying ratios

Ratio and fractions

Equivalent ratios

Ratio tables

Sharing in a two-part ratio

Two-part ratio problems

The unitary method

Direct proportion in tables

Direct proportion in practical contexts

Multi-step direct-proportion problems

Ratio scaling and comparison problems

Non-routine ratio problems

Math Game

Variables, constants and algebraic expressions

Translation from words to expressions

Expressions in practical situations

Substitution into algebraic expressions

Evaluation of one-step formulae

Formulae from words

Order of operations in substitution

Terms and coefficients

Like and unlike terms

Algebraic notation and conventions

Addition of algebraic expressions

Subtraction of algebraic expressions

Collecting like terms

The distributive law

Simplification of linear expressions

Proof of algebraic equivalence

Algebraic-simplification feedback and parallel recheck; equivalence challenge if secure

One-step linear equations

Two-step linear equations

Equations from word problems

Checking solutions by substitution

Applications of linear equations

Choosing variables in word problems

Hidden linear equations

Age and digit problems

Rate problems with one unknown

Second cumulative review: Chapters 1–4

Second cumulative review: mixed and non-routine problems

Assessment feedback and targeted practice

Assessment feedback and transition to Year 8

Inequality notation

Simple inequalities

Inequalities on a number line

Integer solutions of inequalities

Term-to-term rules

Linear number sequences

Sequences from patterns

Nth terms of the form n ± a

Nth terms of the form an

Functions as input–output relationships

Function machines

Inputs and outputs

Inverse operations in functions

Tables of values for linear functions

Graphs of y = x + c

Graphs of y = mx

Lines parallel to the coordinate axes

Graphs of practical situations

Rate of change in practical graphs

Interpretation of practical graphs

Sequence challenge problems

Comparing solutions to function and graph problems

Final review: core methods and representations

Final review: non-routine synthesis

Baseline assessment

Geometric figures as models: 2D and 3D shapes

Drawing shapes and using basic geometric notation

Perimeter and units of length

Area of rectangles and squares. Square units

Area of triangles by cutting and rearranging

Classifying triangles

Families of quadrilaterals, regular polygons and diagonals

Area of a parallelogram and trapezium by decomposition

Areas of compound shapes

Scale drawings and plans

The coordinate plane: applied review

Plotting polygons from coordinates

Missing vertex, lengths and perimeters on a coordinate grid

Point, line and plane

The first axiom of a line

Positions of points and lines. Reading geometric notation

Relative positions of two lines in a plane

Statements, theorems, proofs and counterexamples

Independent Assessment No. 1: Geometric Figures

Independent Assessment No. 2: Line Segments and Half-Planes

Independent Assessment No. 3: Angles and Polygons

Independent Assessment No. 4: Congruent Figures

Independent Assessment No. 5: Parallel Lines and Angle Sums

Line segment and ray

Order of points, midpoint and addition of line segments

Measuring and accurately constructing line segments

A half-plane and its boundary

Interior and exterior regions of a figure. Intersection of a line with the sides of a triangle

Angle: vertex, arms and interior

Acute, right, obtuse and straight angles

Measuring and constructing angles with a protractor

Adjacent and vertically opposite angles

Angle bisector and a perpendicular to a line

Angle calculations and clock-hand problems

Polylines and polygons

Triangle elements: median, altitude and angle bisector

Convex and concave figures

Congruent figures and superposition

Corresponding points, sides and angles

Moving a figure and the properties preserved

First triangle congruence criterion: SAS

Applying SAS congruence

Short proofs using SAS

Second triangle congruence criterion: ASA

Applying ASA and selecting an appropriate congruence criterion

Reflection symmetry

Constructing reflected points and shapes

Isosceles triangles and base angles

Converse of the isosceles triangle theorem

Median, altitude and angle bisector in an isosceles triangle

Mixed problems on isosceles triangles

Third triangle congruence criterion: SSS

Constructing a triangle from three sides. Rigid constructions

Mid-year review: definitions and properties

Mid-year review: problems and short proofs

Mid-year assessment. Part 1

Mid-year assessment. Part 2

Review of the mid-year assessment and error correction

Review of the mock final assessment

Review of the final assessment and addressing individual gaps

Parallel lines and a transversal

Alternate, corresponding and co-interior angles

Conditions for parallel lines

The parallel postulate and the angle theorem

Proof problems involving parallel lines

Triangle angle sum: experiment and statement

Proof of the triangle angle sum theorem

Calculating angles in triangles

Exterior angle of a triangle

Sum of the interior angles of a quadrilateral and a convex n-gon

Translation on the coordinate plane

Describing a translation using a vector

Reflection in the coordinate axes

Reflection in the lines x = a, y = b and diagonal lines

Rotation: centre, angle and direction

Finding the centre and angle of rotation from an object and its image

Enlargement and scale factor

Enlargement with a fractional scale factor

Distinguishing enlargement from adding lengths. Mixed problems

Mixed problems on translation, reflection, rotation and enlargement

Invariants under transformations. Congruent and similar figures

Transformations practical using GeoGebra

Cube, cuboid, prism, pyramid and cylinder

Faces, edges and vertices of 3D shapes

Nets of 3D shapes

Plans and elevations of 3D shapes

Surface area of a cube and cuboid

Volume of a cube and cuboid. Cubic units

Scale plan of a room

Calculating area and quantities of materials from a plan

Presenting the mini-project “Learning Space Plan”

UK-style problems on angles and polygons

UK-style problems on area and scale

UK-style problems on transformations and 3D shapes

Final review: definitions, properties and criteria

Final review: calculation problems and proofs

Reserve / Mock final assessment

Final written assessment. Part 1

Final written assessment. Part 2

Final practical assessment: constructions, measurements and transformations

Reserve / Bridge to the Year 8 geometry programme

Entry diagnostic: statements, exhaustive search, divisibility and mathematical explanation

Distinguishing a statement, example and counterexample

Organising an exhaustive search

Tables, diagrams and trees

Addition and multiplication principles

Cases without omission or overlap

Building a pairing or bijection

Explaining why a search or construction is complete

Review problems: statements, structured enumeration and pairing

Short topic check and immediate feedback: statements, structured enumeration and pairing

Forming conjectures from examples

Distinguishing universal and existential statements

Finding minimal counterexamples

Reasoning directly from definitions

Proof by contradiction in a divisibility argument

Guided proof practice: selecting a proof method and editing a complete solution

Objects, boxes and forced repetition

Generalised pigeonhole in accessible cases

Choosing a largest or smallest object

Combining pigeonhole and extremal reasoning

Topic check 2: pigeonhole and extremal principles

Pigeonhole proof correction and strengthened extremal extension

Autumn cumulative assessment

Assessment feedback and solution rewriting

Divisibility notation

Elementary divisibility tests

Common-factor and divisibility arguments

Quotient–remainder form

Detecting units-digit and remainder cycles

Working backwards in divisibility problems

Review problems: divisibility, cycles and remainders

Short topic check and immediate feedback: divisibility, cycles and remainders

Math Game

Finite collections and membership

Classifying objects by two properties

Correcting double counting in two overlapping classes

Double-counting the same objects

The handshake identity by double counting

Gradual construction and completeness

Short topic check and immediate feedback: classification, double counting and gradual construction

Proving parity rules

Alternation

Chessboard and other colourings

Proving impossibility by colouring

Cutting and tiling invariants

Identifying a quantity that is invariant

Second cumulative review: method selection and mixed proof practice

Second cumulative assessment

Assessment feedback and solution rewriting

Targeted recheck after the second cumulative assessment

Working backwards in finite procedures

Finite procedures: weighing, transport and movement

Symmetry and winning positions in take-away games

Termination of a finite procedure

Truth values and negation; elementary truth tables

Conjunction, disjunction and truth tables

Guided logic and strategy problems

Mixed proof clinic: number theory, counting, logic, games and invariants

Modelling with vertices and edges

Degree and the handshaking principle

Finding paths and connected components

Counting incidences in a graph

Paths, cycles and limits of graph models

Trees and bipartite graphs: first examples

Final method review and proof planning

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2

Assessment correction and transition review

Entry diagnostic: tables, graphs, averages, sampling and informal probability

Statistical questions and data collection

Categorical, discrete and continuous data

Primary and secondary data

Samples, sample size and representative data

Tally charts and frequency tables

Two-way tables

Grouped frequency tables

Venn and Carroll diagrams for classification

Topic check and feedback: Data collection and tabulation

Topic check: Probability

Dual and compound bar charts

Waffle diagrams and pie charts

Frequency diagrams and line graphs: scales and coordinate axes

Scatter graphs: plotting ordered pairs

Infographics and misleading presentation

Mean, median and mode

Range and variation

Choosing an appropriate average and interpreting comparisons

Cumulative assessment: Statistics

End-of-year assessment: Statistics and probability

Assessment feedback and targeted practice

Math Game

Probability language and the probability scale

Probability as a fraction, decimal and percentage

Theoretical probability from equally likely outcomes

Mutually exclusive events

Exhaustive outcomes and probabilities summing to 1

Design of a chance experiment

Relative frequency in a small sample

Relative frequency in a large sample

Experimental and theoretical probability

Topic-check feedback and final review

Assessment feedback and transition

Review Mathematics

Physics as a Science

Physical Quantities

Units

Multiples and Submultiples of a Unit

Some Unit Conversions

Motion and Rest

Speed

Distance and Displacement

Average Speed and Average Velocity

Uniform Rectilinear Motion

Graphing Uniform Rectilinear Motion

Finding the Velocity from a Table and from a Graph

Lab: Rectilinear Uniform Motion

Acceleration

Accelerated Motions

Finding the Acceleration from a Table

Uniformly Accelerated Motions

v-t Graphs and a-t Graphs

Finding the Acceleration from a v-t Graph

Review Kinematics

Newton´s Laws

Forces

Newtonian Mechanics

Elastic Forces

Review Newtonian Mechanics

Work and Energy

Power

Conservation of Energy

Energy Transfers

Energy Resources

Review Energy

Electrostatics

Charging

Conductors and Insulators

Electric Currents

Voltage and Resistance

Ohm’s Law

Electric Circuits

Series and Parallel Circuits

Review Electricity

Waves

Wavelength, Period, Frequency, Speed of a Wave

Equation of a Wave

Graphs of a Wave

Sound as a Wave

Detecting and Using Sound

Doppler Effect

Electromagnetic Spectrum

Light as a Wave

Reflection and Refraction of Light

Lab Activity: Reflection and Refraction of Light

The Eye

Colours

Review Waves

Review All Topics

Experimental Activities

Outdoor 'What is Chemistry?' walk – spotting everyday examples of matter and change to spark curiosity

Lab-safety culture induction – learning the ground rules ahead of real lab work later this term

Particle model – states of matter (how particles are arranged and move in solids, liquids and gases)

Marshmallow/Bead Diffusion Race (tangent) – a hands-on game modelling how particles spread

Particle model – changes of state (melting, freezing, evaporating and condensing, explained through particle movement)

Particle-diagram practice – drawing diagrams to show how particles rearrange

Pure substances & mixtures (telling a pure substance apart from a mixture, plus key words like solution and saturated)

Salad Dressing Science (tangent) – investigating why oil and vinegar separate

Separating mixtures (pt.1) – filtration and evaporation techniques for separating solids from liquids

CSI: Ink Detective – setup: using chromatography to investigate a 'mystery ink' case

Separating mixtures (pt.2) – paper chromatography and simple distillation

CSI: Ink Detective – solving the case using the chromatography results

Separating mixtures – revisited with real lab kit for a more precise result

Sea Water to Salt (tangent) – recovering salt from seawater by evaporation

Elements, atoms & compounds – introducing the basic building blocks of all substances

Build-a-Molecule intro (MolyMods) – building physical models of simple molecules

Periodic Table intro (pt.1) – element names, symbols, and telling metals apart from non-metals

Periodic Table Trading Cards – start: designing a card for each element researched

Periodic Table intro (pt.2) – linking metal properties to their everyday uses, plus groups and periods

Periodic Table Trading Cards – continue building the class card set

Element Name Origins (tangent) – researching the stories behind element names

Composition of air – what air is actually made of

Balloon Breath Test (tangent) – comparing exhaled and inhaled air

Acids, bases & alkalis (pt.1) – common acids and alkalis, and how indicators detect them

Household pH Map – start: testing household substances with a home-made indicator

Acids, bases & alkalis (pt.2) – the pH scale and neutralisation reactions

Household pH Map – continue adding tested substances to the class display

Acids, bases & alkalis (pt.3) – naming salts and writing simple word equations

Natural Indicator Hunt (tangent) / finishing the pH Map

Kitchen Reactions Spot-the-Difference (tangent) – classifying kitchen processes as physical or chemical change

Chemical reactions intro (pt.1) – telling physical and chemical changes apart

Lab-safety practical induction – the first proper hands-on lab session of the year

Chemical reactions intro (pt.2) – combustion as a type of chemical reaction

Combustion practical – observing a real burning reaction safely

Chemical reactions intro (pt.3) – thermal decomposition (a substance breaking down when heated)

Thermal decomposition practical – heating copper carbonate and testing the gas produced

Consolidation, plus introducing the Design a Water Filter engineering brief

Design a Water Filter – start: planning designs and choosing materials

BIG PROJECT – Design a Water Filter: building and testing a working filter

BIG PROJECT – Design a Water Filter: refining designs and evaluating results

Water Filter wrap-up & presentations – sharing final designs and results with the class

Coffee Filter Rainbow (tangent) – a fun follow-up chromatography activity

Practical Skills & Investigation unit – learning to plan a fair test and identify variables

Investigation #1 setup – planning an investigation into which antacid works fastest

Investigation #1 – collecting data, analysing results and drawing a conclusion

Investigation #2 – designing a method to separate a more complex mixture

Investigation #3 – investigating how temperature affects particle diffusion

Investigation #4 – a student-chosen mini-investigation

Investigation presentations – sharing findings and results with the class

Rocks & the rock cycle (pt.1) – classifying igneous, sedimentary and metamorphic rock samples

Hands-on rock sample stations – examining real rock samples with magnifiers

Rocks & the rock cycle (pt.2) – how one rock type changes into another over time

Term 1 progress checkpoint – an informal check-in on this term's topics, not a formal test

Term 2 progress checkpoint – an informal check-in on this term's topics, not a formal test

Review – Chemical Reactions & Separating Mixtures

Consolidation (pt.1) – reviewing the year's topics so far

Open tangent choice – revisiting a favourite optional activity

Consolidation (pt.2) – continued topic review

Open tangent choice / project extension

Consolidation (pt.3) – final review push before the end-of-year checkpoint

End-of-year progress checkpoint – an informal check-in across the whole year, not a formal test

Reflection / portfolio activity – compiling and reflecting on the year's best work

End-of-year wrap-up – reviewing the year's big ideas and previewing Year 8

Baseline diagnostic (ungraded); notebook conventions established: title, date, Big Question on every page

The seven shared characteristics of living things (1.1) and how they apply to a wide range of organisms (1.2)

Hazard, risk and control measures; the conventions of a scientific diagram

Independent, dependent and control variables; writing a testable hypothesis

Measuring length, mass, volume and time; precision, resolution and the purpose of repeats

Tables with headed columns and units; calculating a mean; identifying an anomalous result

Parts and functions of the light microscope; total magnification = eyepiece x objective

Preparing a wet mount; observing onion epidermis cells

Identifying cell wall, membrane, cytoplasm, nucleus, vacuole and chloroplast (2.3)

Structure of a typical animal cell (2.1); cheek cell preparation with methylene blue

Similarities and differences between plant and animal cells (2.2); the function of each part (2.4)

Working with scale: mm to micrometres; calculating actual size from magnification

Specialised animal and plant cells and the structure-to-function relationship

Unicellular organisms; why a single cell has limits

Cells to tissues to organs to organ systems to organism (2.5)

The major organs and organ systems of the human body and their functions (2.6)

Structure and function of the male and female reproductive systems

Gametes and fertilisation; the vocabulary of reproduction used precisely

Implantation, the placenta as an exchange surface, the role of the amnion

Foetal development; effects of maternal diet, alcohol and smoking

Physical and emotional changes at puberty

The menstrual cycle as a repeating pattern; interpreting cycle data

Structure of an insect-pollinated flower; dissection and labelled biological drawing

Insect and wind pollination compared; adaptations linked to method

Pollination and fertilisation distinguished; formation of fruit and seed

Mechanisms of seed dispersal; germination and its requirements

A full investigation planned, carried out and evaluated by students (Scientific Enquiry)

Line graphs, describing patterns, writing a conclusion against the hypothesis

Structured revision against the unit objectives

Command word practice: state, describe, explain, compare

Full paper walkthrough; personal repair list built from the section-percentage sheet

Microscopy skills consolidated ahead of the laboratory opening in January

Functions of the skeleton: support, protection, movement, blood cell production

Bone structure; joints classified

Laboratory rules and routines established — first term of laboratory work

Antagonistic muscle pairs; contraction and relaxation at the elbow

Chicken wing dissection: identifying muscle, tendon, ligament and cartilage

The arm as a lever: pivot, effort and load

Moment = force x distance, applied to the human body

Investigating the relationship between load and muscular endurance

Repeats, means and range; evaluating the precision of the method

Engineering a working antagonistic-pair model to a design specification

Testing, measuring and improving against stated criteria

Diet, exercise and bone density; interpreting real health data sets

How organisms are adapted to their habitat, local and wider environment (8.1)

Abiotic and biotic factors distinguished, with examples of each (8.2)

Producer, primary, secondary and tertiary consumer, decomposer (9.1)

Drawing and interpreting food chains and food webs (9.2)

Predator, prey, herbivore, carnivore and omnivore used correctly

Effect of changing environmental conditions on number and distribution (8.3)

Quadrats and transects; random and systematic sampling compared

Estimating population size; identifying sources of error in fieldwork

Live data collection; abiotic measurement alongside species counts

Recording to an agreed format so that data can be pooled across the class

Continuous and discontinuous variation; inherited and environmental causes

Choosing correctly between a histogram and a bar chart for the data type

The five kingdoms; vertebrate and invertebrate groups

Constructing and using a dichotomous key

Why biodiversity matters; local examples of habitat change

Structured revision across Terms 1 and 2

Examination feedback

Students select their own question, write a hypothesis and a full risk assessment

Method written to be repeatable by another student

Running the method; recording raw data; responding to problems as they arise

Processing, graphing and evaluating the student’s own data

Writing a conclusion that answers the original question

Presentation of investigations to peers and staff, with peer questioning

Retrieval practice against the full year objectives; past-question practice

Final revision; whole-year synoptic practice

Introduction to Problem Solving & Algorithms

Algorithms – Visual Representation

Algorithms – Textual Representation

Python Foundations for Algorithms

Selection – Making Decisions

Selection – IF/ELSE

Selection – Multiple and Nested Decisions

Iteration – Repetition in Algorithms

Iteration – WHILE Loops

Iteration – Combining Control Structures

Lists as a Data Structure

Working with List Elements

Procedures and Abstraction

Modular Programming & End-of-Term Review

Linear Search – The Algorithm

Linear Search – Visual and Textual Algorithms

Linear Search as a Procedure

Binary Search – The Algorithm

Comparing Linear and Binary Search

Programming Errors – Syntax Errors

Interpreting Error Reports

Computational Abstraction – Modelling a Real-World Problem

Integrating Selection, Iteration and Abstraction

Project Planning – Algorithm Design

Project Development – Textual Implementation

Project Development – Testing & Debugging

Project Refinement – Abstraction & Readability

Project Completion – Algorithms in Practice

Project Review & Catch-up

Algorithm Comparison & Efficiency

Computational Abstraction – State and Behaviour

Programming Development – Debugging Skills

Consolidation – Algorithms & Control Structures

Consolidation – Search Algorithms

Final Practical Assessment

Review, Reflection & Improvement

Extension & Transfer

What is history? How do historians know about the past?

Historical sources: primary and secondary

Reliability, usefulness and bias

What is Geography?

Continents of the world and their characteristics

Prehistory and the first civilisations

Ancient Egypt

Ancient Egyptian society

Ancient Egypt: religion and beliefs

Ancient Greece

Athens vs Sparta

Greek mythology and society

How did Rome begin? Myth, legend and historical evidence

The Roman Republic: Who held power in Rome?

Life in Roman Britain: What was Britain like under Roman rule?

Why did the Roman Empire decline?

Was Rome successful? What made the Roman Empire powerful?

Understanding Our World: Continents, countries, oceans and major physical features

Rivers: Why have rivers been important to human civilisation?

Mountains & Deserts: How do extreme environments affect human life?

Climate & Weather: Why are places around the world so different?

Population: Why do people live where they do?

Settlements & Cities: Why do some places become major cities?

Who Makes the Rules? Why do societies need governments, laws and leaders?

Monarchy: What happens when political power is held by a monarch?

Democracy: How do citizens have a say in government?

Dictatorship: What happens when political power is concentrated in one leader or small group?

Democracy vs Dictatorship: How does life differ under different political systems?

Who Should Have Power? Comparing different ways societies organise political power

What Makes Someone Good? Exploring morality, character and behaviour

What Is Fair? Equality, fairness and justice through everyday situations

Can We Always Trust What We Know? Exploring knowledge, evidence and certainty

Rights & Responsibilities: What rights should everyone have?

Rules, Laws & Justice: When should laws restrict people's behaviour?

What Makes a Good Society? What should a fair society look like?

Are Our Choices Really Free? Exploring freedom, responsibility and consequences

Natural Hazards: Why do earthquakes and volcanoes happen, and why are some places more affected than others?

Living with Natural Hazards: How can people prepare for and reduce the impact of natural disasters?

Year 7 Humanities: Big Questions Bringing together ideas about people, societies, places and the past

Unit 1 ¿Cómo te llamas?

Unit 2 ¿Que tipo de persona eres?

Unit 3 ¿Tienes hermanos?

Unit 4 ¿Cuando es tu cumpleaños?

Unit 5 ¿Tienes mascotas?

Unit 6 Writing skills

Unit 1 ¿Qué te gusta hacer?

Unit 2 ¿Cantas Karaoke?

Unit 3 ¿Qué haces cuando llueve?

Unit 4 ¿Que deportes haces?

Unit 5 Reading & Writing Skills

Learning about Christmas in Spain

Learning about Christmas in other countries

Unit 1 ¿Qué estudias?

Unit 2 ¿Te gustan las ciencias?

Unit 3 ¿Que hay en tu insti?

Unit 4 Durante el recreo

Unit 5 Listening and Writing Skills

Unit 6 Reading Skills (all levels)

Unit 1 ¿Cuántas personas hay en tu familia?

Unit 2 ¿De qué color tienes los ojos?

Unit 3 ¿Cómo es?

Unit 4 ¿Cómo es tu casa o tu piso?

Unit 1 ¿Qué hay en tu ciudad?

Unit 2 ¿Qué haces en la ciudad?

Unit 3 En la cafeteria

Unit 4 ¿Qué vas a hacer?

Unit 5 Listening and Writing skills

Module 1

Module 2

Module 3

Module 4

Module 5

Extra grammar

Semana 1: Descubriendo el mundo hispano

Semana 2: Influencers y redes sociales

Semana 3: Planifica un viaje a Hispanoamerica

What is PSHE? – What should we learn and what is important to us

How do we take care of ourselves when we are sick?

Healthy Habits – Sleep, food, exercise, hygiene and routines

Keeping Clean & Looking After Your Body – Personal hygiene, dental care, skin, hair and everyday self-care

Food & Nutrition – Food groups, balanced diets, energy and making healthy choices

Understanding Emotions – Different emotions, recognising feelings and expressing them appropriately

Managing Difficult Feelings – Stress, worry, frustration and simple coping strategies

Asking for Help – Trusted adults, support networks and when to speak to someone

Friendship – What makes a good friend? Trust, kindness, honesty and support

Respect & Kindness – Respecting differences, treating others fairly and inclusion

Arguments & Conflict – Why disagreements happen and how to resolve them

Bullying – What bullying is, what it isn't, bystanders and getting help

Peer Pressure – How friends can influence decisions and how to say no

Building a Positive Community – How individual actions affect a class/school community

My Online Life – How much time we spend online and what we use technology for

Online Safety – Passwords, privacy and keeping personal information safe

What Can I Trust Online? – Fake information, misleading content and checking sources

Social Media & Online Behaviour – How we communicate online and consequences of our choices

Cyberbullying & Reporting – Recognising harmful behaviour and knowing how to report it

Being Responsible Online – Digital footprints, screenshots, sharing and thinking before posting

Growing Up: What Changes? – Physical, emotional and social changes during adolescence

Puberty – Basic understanding of puberty and why bodies change

Body Image – Everybody develops differently; avoiding unhealthy comparisons

Personal Boundaries – Personal space, privacy, saying no and respecting others' boundaries

Consent & Respect – Understanding that people have choices about their own bodies and boundaries

Staying Safe – Recognising unsafe situations and seeking help

First Aid Basics – What to do in simple emergencies and when to get adult/emergency help

Medicines & Staying Safe – Medicines are useful but must be used safely and appropriately

Smoking, Vaping & Nicotine – What nicotine is, why young people should avoid it and how advertising/social influence can affect choices

Money: Needs vs Wants – Difference between needs and wants; making choices with limited money

Saving Money – Why people save, short/long-term goals and delayed gratification

Making Smart Choices – Comparing choices, consequences and opportunity cost in everyday life

Advertising & Persuasion – How adverts influence what we buy and want

Independence & Responsibility – Looking after belongings, time, responsibilities and making good choices

Problem Solving – Breaking problems down, considering options and consequences

Year 7 Life Skills Challenge – Apply knowledge from the year to realistic everyday situations

Reflection & Looking Ahead – What have I learned? What skills have I developed? Preparing for Year 8

Creating imagery using figurative language – focusing on experiences

(Exposition) Characterisation – how do we get to know the characters in books: STEAL (speech, thoughts, effect on others, actions, looks)

Setting – pathetic fallacy – mood, symbols, connotations, semantic fields

Freytag’s pyramid – associated terminology

Conclude The Curious Incident of the Dog in the Night – review/analysis

Orange – Wendy Cope

Out of the Blue – Simon Armitage

Sonnet 18: Shall I compare thee to a summer’s day? – Shakespeare

One Art – Elizabeth Bishop

Write Haiku

Telling stories – Exploring different creative methods to construct and tell successful stories.

Building a character – Analysing how writers draft villainous profiles, leading into creating a unique villain.

Creating danger – Examining atmospheric writing techniques to build tension and exciting action sequences.

Openings – Deconstructing short story hooks and writing an original, engaging opening.

Story structure – Investigating how thematic ideas are structurally organized across fiction narratives.

Endings – Discovering the strategic narrative impacts of different kinds of story conclusions.

Ways of telling stories – Looking into different narrative viewpoints and techniques for delivering information to readers.

Structuring sentences – Exploring syntactic variety and the emotional impact of varied line lengths on the reader.

Reviewing, revising and proofreading – Developing targeted peer- and self-editing habits to check structural accuracy.

Spotting persuasive techniques – Identifying rhetorical devices utilised across informative and safety-focused texts.

Persuading vocabulary – Exploring high-impact, emotionally charged word choices that drive a specific viewpoint.

Responding to a text – Interpreting instructional or precautionary texts and drafting written reactions.

Organising your response – Structuring analytical responses into coherent, logical frameworks.

Persuasive paragraphs – Learning how to tightly organise individual points using evidence and explanation.

Persuasive structures – Evaluating text-wide formatting techniques used to convince large audiences.

Exploring the writer's choices – Analysing word counts, tones, and layouts selected by real-world media.

Rhetorical devices – Deconstructing tools such as rule of three, hyperbole, and emotive hooks.

Getting ready to respond – Outlining a critical non-fiction commentary text.

Focus on 1984

Exploring a fictional future – Delving into world-building details found in dystopian and utopian literature.

Building an argument – Unpacking the thematic, structural arguments operating beneath speculative fiction.

Choosing vocabulary – Selecting complex words to depict unique environments and futuristic contexts.

Sentence variety – Using complex syntax shifts to establish an eerie or polished setting tone.

Developing viewpoints – Writing multi-layered character arcs with varying moral positions.

Controlling pace – Evaluating how paragraphing controls a reader's stress or relaxation levels.

Exploring societal layout – Breaking down the descriptive techniques used to outline complex fictional backstories

Crafting description – Generating rich sensory imagery to describe high-tech or rustic scenes.

Polishing mechanics – Advanced sentence mechanics training to maximise creative flow.

Summarising – Condensing lengthy athletic articles and journalism down to primary, essential facts.

Informing and describing – Balancing concrete media statistics with descriptive profiles.

Selecting evidence – Finding, picking, and isolating direct quotes to validate a specific thesis.

Exploring vocabulary choice – Assessing action verbs and technical sports terminology.

Writing a response – Drafting structured textual answers to evaluate non-fiction journalism.

Structuring an information text – Designing formal layouts with subheadings, captions, and statistics.

Exploring vocabulary and sentence choices – Tracking the energetic, punchy voice of sports reporters.

Planning a critical response – Brainstorming and outlining formal comparative essays.

Comparing information texts – Spotting biased reporting, differing perspectives, and stylistic matches across sports reporting.

Rehearsal

Performance of A Dumb Waiter

Writing autobiographically – Pinpointing the features that help authors record historical or personal milestones.

Exploring structure and intention – Examining how life writers sequence memories to evoke an emotional response.

Using narrative structure – Adapting chronological storytelling structures to reshape real events like a novel.

Choosing precise vocabulary – Elevating sensory adjectives to vividly freeze a single historic moment.

Assessment – A benchmark check on biographical reading extract parsing and vocabulary application.

Expressing feelings – Writing about grief, wonder, and complex internal human states using subtle subtext.

Structuring paragraphs – Grouping reflections and time shifts logically into paragraphs.

Experimenting with sentences – Manipulating short fragments and compound sentences to mimic sudden, rapid realisation.

Reflective endings – Composing conclusions that look back and extract wisdom from a past experience.

The editing cycle – Sharpening tense consistency and emotional clarity across personal histories.

Curtain up – Dissecting the unique structural formats that playscripts use to instantly hook audiences.

Setting the scene – Evaluating how playwrights use brief stage directions to rapidly establish era, mood, and tension.

From page to stage – Transforming standard narrative prose fiction into acted script formats.

Creating conflict – Analysing how dialogue and clashing intentions manipulate narrative stakes.

Crafting characters – Studying speech choices, rhythms, and slang to show personality without narrator intervention.

Shakespearean speech – Analysing historical vocabulary structures, verse rhythms, and wordplay shifts across classical history.

Performing – Reviewing how physical modifications in pacing, delivery, and body posture completely rewrite a line's intent.

Exploring themes – Tracing universal themes like power and corruption by reviewing core scenes from Macbeth.

Introductions and conclusions – Polishing high-level critical writing structures to introduce or close theatre reviews.

Diagnostic bridge: Year 7 number, algebra and non-routine reasoning

Divisibility, factor structure and reverse reasoning

Exact arithmetic in non-routine problems

Ratio scaling and hidden proportional structure

Algebraic equivalence and formula substitution

Choice of variable and hidden linear equations

Sequence, function and graph challenge methods

Cumulative Year 7 Algebra review and targeted correction

Natural numbers, integers and rational numbers

Ordering rational numbers

Absolute value and opposites

Number-system classification problems

Order of operations with signed numbers

Multiplication and division of signed numbers

Estimation of numerical calculations

Multi-step calculations with rational numbers

Index notation

Product law of indices

Quotient law of indices

Power of a power and zero index

Prime numbers

Prime factorisation

Prime-factorisation problems

Common factors and highest common factor

Common multiples and lowest common multiple

HCF and LCM from prime factors

Squares of positive and negative numbers; principal square roots of non-negative numbers

Cubes and cube roots of signed numbers

Problems with powers and roots

Euclidean algorithm for HCF: proof and computation

Integer and index-law challenge problems

Chapter review: Number system

Chapter review: Fractions, decimals and percentages

Chapter review: Ratio, proportion and rates

Chapter review: Algebraic formulae, expansion and equations

Chapter review: Inequalities, sequences, functions and graphs

Topic check 1 and feedback: Number system

Topic check 2 and feedback: Fractions, decimals and percentages

Topic check 3 and feedback: Ratio, proportion and rates

Topic check 4 and feedback: Algebra

Topic check 5 and feedback: Inequalities, sequences, functions and graphs

Multiplication and division by 0.1

Multiplication and division by 0.01

Rounding to decimal places

Rounding to significant figures

Estimation with rounded values

Fractions as terminating decimals

Fractions as recurring decimals

Decimal and fraction equivalence

Recurring decimals as fractions: proof and explanation

Subtraction of mixed numbers

Multiplication of integers and mixed numbers

Division of integers by proper fractions

Combined operations with fractions

Combined operations with signed decimals

Addition and subtraction of signed decimals

Multiplication of decimals

Division of decimals

Percentage increase

Percentage decrease

Absolute and percentage change

Non-routine percentage-change problems

First cumulative assessment: Chapters 1–2

Second cumulative assessment — Paper 1

Second cumulative assessment — Paper 2

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2: unfamiliar reasoning and mathematical writing

Assessment feedback and targeted practice

Assessment feedback and targeted practice

Assessment feedback and transition to Year 9

Equivalent ratios in different units

Simplifying ratios with unit conversion

Sharing in a ratio with two or more parts

Ratio problems with fractions

Multi-step ratio problems

Direct proportion

Rates and unit rates

Direct-proportion problems

Rates in practical contexts

Scaling and rate-table problems

Ratio and direct-proportion challenge problems

Substitution into formulae

Formulae with more than one variable

Change of subject by one inverse operation

Change of subject by two inverse operations

Formulae from practical contexts

Restrictions in formulae

Formula and change-of-subject problems

Expansion of a single bracket

Expansion with a negative multiplier

Collection of like terms after expansion

Factorisation by a common factor

Highest common factor in algebraic expressions

Proving equivalence of expanded and factorised forms

Algebraic expansion problems

Algebraic factorisation problems

Linear equations with the unknown on one side

Linear equations with the unknown on both sides

Linear equations with brackets

Linear equations with fractional coefficients

Equations from word problems

Solution checks and contextual restrictions

Equation modelling problems

Equations in disguise

Age problems and invariant age differences

Digit-reversal problems and unchanged digit sums

Rate problems with non-routine linear equations

Second cumulative review: Chapters 1–4

Second cumulative review: mixed and non-routine problems

Linear inequalities

Integer solutions and open or closed endpoints

Compound inequalities on a number line

Inequality problems in context

Sequences with fractional terms

Linear sequences and common differences

Nth terms of the form an ± b

Term membership in a linear sequence

Sequences from geometric patterns

Function notation

Outputs of linear functions

Inputs of linear functions

Finding inputs by inverse operations

Functions with fractional coefficients

Tables of values for y = mx + c

Graphs of y = mx + c

Gradient and intercept

Equations of straight lines

Intersections of linear graphs

Multi-part practical graphs

Interpretation of changing rates

Comparison of practical graphs

Linear-sequence challenge problems

Comparing solutions to function and straight-line problems

Math Game

Final review: core methods and representations

Final Algebra review: targeted correction and non-routine synthesis

Baseline assessment: basic figures, angles and interpreting diagrams

Point, straight line, line segment, ray and plane. Notation and measuring segments

Angles: types, measuring and constructing with a protractor

Adjacent, vertically opposite and right angles. Perpendicular lines

Broken lines, polygons and convexity. Elements and types of triangles

Families of quadrilaterals and regular polygons. Perimeter and basic area formulae

Congruent figures, corresponding elements and the logic of proof

First triangle congruence criterion: SAS

Second triangle congruence criterion: ASA

Third triangle congruence criterion: SSS

Isosceles triangles: the base-angle property and its converse

Median, altitude and angle bisector. Short proofs involving isosceles triangles

Parallel lines and a transversal. Alternate, corresponding and co-interior angles

Tests and properties of parallel lines

Angle sum and exterior angle of a triangle. Angle sum of a quadrilateral

Mixed problems on angles, parallel lines and triangle congruence

Areas of triangles, parallelograms and trapezia. Compound shapes

Scale drawings and the coordinate plane. Plotting polygons from coordinates

Translations and reflections in the coordinate plane

Rotations and enlargements. Invariants under transformations

3D solids: faces, edges, vertices, nets and views

Surface area and volume of cubes and cuboids

Integrated practice on the Year 7 foundations

Diagnostic assessment of the Year 7 foundations and targeted gap-filling

Independent Assessment 1: Right-angled Triangles

Independent Assessment 2: Inequalities and Distances

Unit Assessment 3: 2D Shapes and 3D Solids

Unit Assessment 4: Shapes and Angles

Calculating angles in congruent triangles

Auxiliary construction: extending a median by its own length

Proof problems using an extended median

Other auxiliary constructions: extending a side and drawing a parallel line

Right-angled triangles: the hypotenuse, the other two sides and acute angles

Congruence criteria for right-angled triangles

Applying congruence criteria to right-angled triangles

The median to the hypotenuse of a right-angled triangle

A right-angled triangle with a 30° angle

Converse theorem for a side equal to half the hypotenuse

Mixed problems and proofs involving right-angled triangles

Review of Independent Assessment 1 and differentiated correction

Review and consolidation buffer

Review of the mid-year assessment and targeted correction

Review of Unit Assessment 3 and extension problems in 3D geometry

Review of Unit Assessment 4 and correction

Theorem: the greater side is opposite the greater angle

Converse theorem: the greater angle is opposite the greater side

Comparing sides and angles in triangles. Proof by contradiction

The triangle inequality

Can the triangle exist? Possible values of an unknown side

The broken-line inequality and the “rubber-band principle”

Distance between two points and from a point to a line. The perpendicular as the shortest distance

Shortest-path problems using reflection

Mixed problems on §§17–18

Loci: the idea, defining condition and verification

The perpendicular bisector as a locus

The angle bisector as a locus

Intersections of loci. Positioning and location problems

Practical constructions and applied locus problems

Mid-year Assessment, Part 1

Mid-year Assessment, Part 2

Circle and disc: centre, radius, chord, diameter and arc

Basic properties of chords and diameters

Constructing the centre of a given circle

The circumcircle of a triangle and the intersection of perpendicular bisectors

A tangent to a circle. The radius is perpendicular to the tangent

A circle inscribed in an angle

The incircle of a triangle and the intersection of angle bisectors

Constructing the midpoint and perpendicular bisector of a segment with compass and straightedge

Constructing a perpendicular through a point on or outside a line

Copying and bisecting an angle. Constructing a parallel line

Constructing a triangle from three sides

Constructing a triangle from two sides and an angle; from one side and two angles

Construction problems: analysis, construction, proof and investigation

Deriving the area formulae for a parallelogram, triangle and trapezium

Areas of compound shapes

Units of area and volume. Converting between mm², cm², m² and mm³, cm³, m³

Properties of 3D solids: faces, edges, vertices and introductory cross-sections

Nets of cubes, cuboids and prisms

Plans and elevations: front, side and plan views

Surface area of cubes and cuboids

Surface area of a triangular prism using its net

Volume of cubes and cuboids

Volume of a prism as cross-sectional area × length

Compound cuboids: volume and surface area

Volume and capacity: cm³, ml and litres

British contextual problems involving surface area, volume and capacity

Practical project “Packaging”: net, material area and capacity

Classifying quadrilaterals. Line and rotational symmetry

Angle problems involving parallel lines in quadrilaterals

The sum of the interior angles of a convex polygon

Exterior angles and regular polygons

Mixed British-style problems on quadrilaterals, parallel lines and polygons

Parallelograms: properties of sides and angles

Proving the properties of a parallelogram using triangle congruence

Tests for a parallelogram

Rectangles, rhombi and squares: properties and relationships

Diagonals and symmetries of rectangles, rhombi and squares

Trapezia and isosceles trapezia

Final review: triangles, inequalities and shortest paths

Final synthesis: loci, circles, constructions, areas and 3D solids

Final Assessment, Part 1: Calculations and Proof

Final Assessment, Part 2: Constructions and Applied Geometry

Entry diagnostic: proof, counting, pigeonhole and graph foundations

Statements, definitions, examples and counterexamples

Direct proof from definitions

Proof structure and justification

Proof by contradiction

Exhaustive casework, boundary cases and completeness

Organised enumeration and complete lists

Addition and multiplication principles; disjoint cases

Pigeonhole principle: objects, boxes and forced conclusions

Pigeonhole practice: choosing boxes and strengthening bounds

Graph models: vertices, edges, degrees, paths and components

Graph practice: degrees, paths and connected components

Mixed proof, counting, pigeonhole and graph problems

Proof writing in mixed counting, pigeonhole and graph problems

Counting by organised cases and complementary pairing

Factorial notation and permutations

Permutations with repeated objects

Combinations and binomial coefficients

Lattice paths and one restricted-counting application

Short topic check and immediate feedback: permutations, combinations and pairing

Place value and conversion in arbitrary bases

Addition, subtraction and elementary multiplication in arbitrary bases

Autumn cumulative assessment

Assessment feedback and solution rewriting

Prerequisite clinic: divisibility, primes, the sieve and prime factorisation

Euclid’s lemma: statement and applications

The fundamental theorem of arithmetic and prime-exponent form

Positive divisors: counting and pairing

Sums and products of positive divisors

Short topic check and immediate feedback: prime structure, divisors and the sieve

Double-counting a set of pairs

Handshake and incidence counts

Counting edges from degrees

Building an object one step at a time

Generalised pigeonhole: construction and proof

Topic check and feedback: double counting and pigeonhole

HCF (GCD), LCM and repeated division from prime-exponent form

Running the Euclidean algorithm

Back-substitution in accessible cases

Euclidean algorithm: termination and olympiad applications

Math Game

Numerical invariants

Parity and remainder invariants

Multi-colour arguments

Extremal estimates and matching constructions

Monovariants in finite processes

Second cumulative review: method selection and mixed proof practice

Second cumulative assessment

Assessment feedback and solution rewriting

Targeted recheck after the second cumulative assessment

Winning and losing positions; backward analysis

Pairing and addition strategies

Constructing a strategy and proving that it works

Topic check 4: game positions and constructive strategies

Topic-check feedback and cumulative review: number theory, counting, graphs and invariants

Mixed proof clinic: number theory, counting, graphs and invariants

The unique-path property of trees

Recognising bipartite graphs

Odd cycles as obstructions

Combining degree, connectivity and colouring arguments

Base case and inductive hypothesis

Writing a complete inductive step

Proving elementary sums and divisibility statements

Induction in counting constructions

Final method review and proof planning

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2

Assessment correction and transition review

Diagnostic bridge: Year 7 statistics and probability

Data collection, representation and summary

Theoretical and experimental probability

Mixed statistics and probability problems

Statistical questions and study design

Sampling methods: advantages and limitations

Tally and frequency tables

Two-way tables and categorical tabulation

Venn and Carroll diagrams

Dual and compound bar charts; pie charts

Stem-and-leaf diagrams

Grouped frequency diagrams

Time-series graphs and selecting an appropriate representation

Topic check: Data collection and representation

Topic check: Probability

Topic check feedback and correction

Assessment feedback and targeted practice

Mean, median, mode and range

Comparing data sets: spread, conclusions, limitations and predictions

Math Game

Cumulative assessment: Statistics

End-of-year assessment: Statistics and probability

Probability prerequisite retrieval and complementary events

Probability of a complement

Systematic sample spaces

Combined events in tables

Combined events in diagrams

Theoretical probabilities of combined events

Design of repeated chance experiments

Simulation of combined events

Experimental probability from repeated trials

Comparison of experimental and theoretical probability

Topic-check feedback and final review

Assessment feedback and transition

Mathematics Review

Physics as a Science

Physical Quantities

Units

Multiples and Submultiples of a Unit

Unit Conversions

Motion and Rest

Speed

Distance and Displacement

Average Speed and Average Velocity

Uniform Rectilinear Motion

Graphing Uniform Rectilinear Motion

Finding the Velocity from a Table and from a Graph

Lab: Uniform Motion in a Straight Line

Acceleration

Accelerated Motions

Uniformly Accelerated Motions

V-t Graphs

Finding the Acceleration from a v-t Graph

Review Kinematics

Newton´s Laws

Forces

Newtonian Mechanics

Elastic Interactions: Lab Activity

Solving Newtonian Mechanics Problems

Rotational Equilibrium

Torque

Lab Activity

Pressure

Buoyancy

Fluids

Drag

Review Newtonian Mechanics

Work and Energy

Power

Conservation of Energy

Thermal Energy

Energy Transfers

Review Energy

Linear Momentum

Conservation of Linear Momentum

Collisions

Rotational Equilibrium

Torque

Review Linear Momentum and Torque

Electrostatic Interaction

Charging

Coulomb’s Law

Electric Currents

Generators of Electric Current

Conductors and Insulators

Ohm’s Law

Voltage and Resistance

Electric Circuits

Series and Parallel Circuits

Review Electricity

Waves

Wavelength, Period, Frequency, Speed of a Wave

Graphing a Wave

Sound as a Wave

Doppler Effect

Electromagnetic Spectrum

Light as a Wave

Reflection and Refraction of Light

Review Waves

The Law of Universal Gravitation

The Solar System

Seasons

Magnetic Earth

Beyond the Solar System

Review Solar System and Gravitation

Review All Units

Outdoor 'Evidence of Chemical Change' walk – revisiting the Year 7 spot to spot real signs of chemical change (rust, weathering, fading paint)

Preview the year ahead – introducing this year's big projects and themes

Dalton's atomic model – the idea that all matter is made of tiny, indivisible atoms

Atomic Model History (wk1/3) – researching the ancient Greek idea of the 'atomos'

Atomic Model History (wk2/3) – researching Dalton's model and Thomson's discovery of the electron

Atomic Model History (wk3/3) – researching Rutherford and Bohr, and presenting the finished timeline

Chemical symbols & formulae (pt.1) – learning the shorthand symbols chemists use for common elements

Chemical symbols & formulae (pt.2) – writing formulae for common compounds

Chemical formulae ratios – understanding what a formula tells you about a compound

Build-a-Molecule (MolyMods) – start: building physical models of compounds

Consolidating formulae & ratios with practice questions

Build-a-Molecule – continue building more complex compounds

Build-a-Molecule – wrap-up: applying formula knowledge to predict a model before checking

Build-a-Molecule – finish and display the class molecule gallery

Early oxygen-in-air investigation – setting up a slow, no-heat experiment using steel wool

Investigation running – checking and recording results across the week

Oxygen-in-air investigation – analysis: calculating the result and comparing to the real figure

Real-world links – discussing rust and corrosion as a real-world cost

Compare oxygen-in-air methods – checking results against Term 1's steel-wool experiment

Oxygen-method comparison – continue: which method gives the most accurate result?

More on combustion (pt.1) – observing what's produced when a hydrocarbon burns

Chemistry of Fire (wk1/3) – introducing the fire triangle: fuel, oxygen and heat

More on combustion (pt.2) – testing for water and carbon dioxide as combustion products

Chemistry of Fire (wk2/3) – practically testing what a candle produces when it burns

More on combustion (pt.3) – how burning fuels can cause air pollution

Chemistry of Fire (wk3/3) – researching air pollution and climate impact, then presenting findings

Environmental problems from air pollution – greenhouse gases and acid rain

Consolidating combustion & air pollution content

Weathering & erosion (pt.1) – how rocks and materials break down over time

Weathering & erosion (pt.2) – what speeds up or slows down weathering

Evidence of Chemical Change investigation – setup: planning a real rust-rate experiment

Investigation – data collection begins, checking samples over several weeks

Investigation continues – ongoing weekly observations

Investigation – analysing results and drawing conclusions

Investigation – wrap-up, preparing to present findings

Investigation presentations – sharing findings with the class

Presentations continue

Optional light bonding preview – a first, informal look at why atoms join together (if time allows)

Optional blend-in – extra practice with data analysis and investigation skills

Consolidation (pt.1) – reviewing this term's ideas together

Open tangent/extension – student choice activity

Consolidation (pt.2) – continued topic review

Open tangent/extension

Consolidation (pt.3) – addressing any remaining gaps before the checkpoint

Light review of Term 1's big ideas

Light review continues, preparing for the checkpoint

Term 1 progress checkpoint – an informal check-in on this term's topics, not a formal test

Reflection – compiling the term's best work

Consolidation continues

Term 2 progress checkpoint – an informal check-in on this term's topics, not a formal test

Review – Combustion & Air Pollution

Consolidation (pt.1) – reviewing the year's topics so far

Consolidation (pt.3) – final review push before the end-of-year checkpoint

End-of-year progress checkpoint – an informal check-in across the whole year, not a formal test

Reflection/portfolio – compiling and reflecting on the year's best work

End-of-year wrap-up – reviewing the year's big ideas and previewing Year 9

Diagnostic Paper A: cells, organisation and life processes

Notebook and Cornell note-taking conventions established

The seven life processes revisited (1.1, 1.2); breathing and respiration distinguished (1.3)

Diagnostic Paper B: enquiry skills, graphs and variables

Personal Repair Plan written from both papers

Four repair lessons taught from what the papers actually found

The components of a balanced diet (5.2); energy requirements and how they vary with age and activity (5.4)

Food tests for starch, sugar, protein and fat, run on an ordinary desk

Starvation and malnutrition distinguished; anaemia, blindness, scurvy and rickets (5.3)

Different foods have different energy values (5.5); food calorimetry

Components of the digestive system and their functions: teeth, salivary glands, oesophagus, stomach, pancreas, small and large intestine (5.1)

Enzymes as biological catalysts; the language rule enforced — enzymes denature, they are not killed

Visking tubing as a model of absorption

The four features of a good exchange surface, met for the first time at the villus

Calculating and comparing surface area to volume ratios (4.4)

Diffusion and the movement of substances in and out of cells (4.1)

The concept of a diffusion gradient (4.2); effect of temperature and concentration on rate (4.3)

Structure of the breathing system; the mechanism of ventilation

Building and testing a working lung model

The alveolus as the second exchange surface; adaptations linked to function

Measuring breathing rate and vital capacity; interpreting traces

Aerobic and anaerobic respiration modelled as word equations (1.5)

Cells respire to release energy for the cell (1.4); the phrase "produces energy" corrected explicitly

Components of the circulatory system and their functions (6.2)

Differences in pressure and rate of flow in arteries, veins and capillaries (6.3)

The capillary as the third exchange surface — the Year 8 spine completed

Effect of exercise on heart rate and why the change matters (6.4); measuring average pulse rate (6.5)

Interpreting line graphs of pulse rate against exercise (6.6); lifestyle and cardiovascular disease (6.7)

Laboratory rules and routines established — first term of laboratory work

Structured revision against the unit objectives; command word practice

Full paper walkthrough and personal repair list

Similarities and differences between plant, animal and bacterial cells (2.7)

Aseptic technique introduced and practised

Yeast and bacteria in food production

Investigating the effect of temperature on the rate of yeast respiration

Pathogen and parasite distinguished (3.1)

Bacteria, fungi and protoctists as causes of disease alongside viruses (3.2)

Physical barriers, white blood cells and antibodies

How vaccination helps prevent the spread of disease in communities (3.5)

Antibiotics are effective against bacteria but not viruses (3.3)

Problems associated with overuse of antibiotics in humans and farmed animals (3.4)

Photosynthesis as a word equation

Measuring rate of photosynthesis by the leaf disc method

Water and dissolved minerals absorbed by roots and transported in xylem (7.3)

Root hairs and the increase in surface area (7.1)

Functions of roots, stems and leaves; nitrates for growth and magnesium for chlorophyll (7.1)

External features of plants living in different habitats compared (7.2)

How fertilisers can increase crop yield (7.4)

Planning a fertiliser investigation and interpreting the resulting tables and graphs

Structured revision across Terms 1 and 2

Drawing and interpreting pyramids of number (9.3)

Interpreting food chains and food webs in terms of energy flow (9.4)

Explaining the ways in which energy is lost between trophic levels (9.5)

Designing a sampling strategy; quadrat technique; abiotic measurement

Writing the risk assessment for outdoor work

Live data collection to an agreed recording format; pooling class data

Students select their own question, write a hypothesis and a full risk assessment

Running the method; recording raw data; responding to problems as they arise

Processing, graphing and evaluating the student’s own data

Presentation of investigations to peers and staff, with peer questioning

Retrieval practice against the full year objectives; past-question practice

Final revision; whole-year synoptic practice

Baseline diagnostic; network foundations — scope, devices, services, packets and protocols

Network scope and topology

Network hardware and services

Threats and vulnerabilities

Social engineering and authentication

Malware and attack paths

Firewalls and access control

Layered defence; secure network evaluation

Algorithm purpose and pseudocode; sequence, input and output

Variables and expressions; IF–ELSE selection

Compound Boolean conditions; iteration

Linear search; tracing and testing

Network and security retrieval; algorithms assessment and feedback

General-purpose and embedded systems; processor and main memory

Secondary storage and units; input, output and communication

System and application software; operating-system functions; Boolean logic and circuits

Binary digits and conversion; binary arithmetic and overflow

Text, image and sound representation; file size and compression

User needs and requirements; game decomposition

State and event logic; selection and conditions; Boolean paths

Test data; test plans; test evidence

Usability and accessibility; specification and evaluation

Systems and game-design retrieval; integrated assessment, feedback and repair

Data, information and purpose; primary and secondary data; records, fields and data types

Data dictionaries; validation and verification; data quality and bias

Cleaning and traceability; fitness-for-purpose evaluation; development life cycles

User requirements; decomposition and modules; prototyping

Client feedback; iterative improvement; documentation and accessibility; release evaluation

Integrated software-development checkpoint

Get into shapes; working with multiple objects

Paths and vector construction; plan an original vector artefact

Inspect SVG representation; refine only in the graphical editor; showcase and peer critique

Assessed revision and final Year 8 Computing portfolio

Introduction

Politics: Who Is in Control? Monarchies, democracies and dictatorships

Politics: How Does Democracy Work? Elections, representation and participation

Politics: Power Around the World Comparing different political systems

Politics: Rights & Freedoms What rights should citizens have?

Politics: Should People Challenge Their Government? Protest, opposition and political participation

Ancient China: How did one civilisation become so powerful?

The Silk Roads: How did trade connect the world?

The Mongol Empire: How did the Mongols build such a vast empire?

Maya Civilisation How did the Maya build a complex society?

The Aztecs How did the Aztec Empire grow?

The Inca Empire How did the Incas control their empire?

West African Kingdoms How did Mali become wealthy and powerful?

Mansa Musa Why did one ruler become so famous?

Philosophy: What Makes a Good Society?

What Is Fair? Exploring equality and justice

Are We Really Free? Choice, freedom and responsibility

Can Something Be Wrong If It Is Legal?

What Makes a Good Life?

The Age of Exploration: Why did European powers explore the world?

Christopher Columbus: How did his voyages change the world?

The Columbian Exchange: How did exploration transform societies?

Indigenous Peoples: What happened after European arrival?

European Empires: Why did European countries build overseas empires?

The Transatlantic Slave Trade: How and why did it develop?

Resistance & Abolition: How did people challenge slavery?

The Haitian Revolution: How did enslaved people overthrow a colonial system?

Measuring Development: How can we compare quality of life around the world?

Population: Why do people live where they do?

Migration: Why do people move around the world?

Globalisation: How are countries connected?

Natural Hazards: Why are some places more vulnerable than others?

Sustainable Development: Can countries become richer without damaging the planet?

Climate Change: Why is climate change a global issue?

Humanities Review: What have we learned about societies and the world?

Unit 1 De vacaciones

Unit 2 ¿Que hiciste?

Unit 3 El último día

Unit 4 ¿Cómo te fue?

Unit 5 El Verano passado

Revisión del modulo

Extensión: ¡Vaya vacaciones!

Unit 1 Mi vida, mi nóvil

Unit 2 ¿Que tipo de música te gusta?

Unit 3 Prefiero las comedias

Unit 4 ¿Qué hiciste ayer?

Unit 5 Reading skills

Revisión del modulo

Extensión: Mi vida, tu vida

Navidad en España

Navidad en otro país

Unit 1 ¿Qué te gusta comer?

Unit 2 ¿Qué desayunas?

Unit 3 En el restaurante

Unit 4 ¿Qué vamos a comprar?

Unit 5 ¡Fiesta!

Revisión del modulo

Extensión: ¿Que comemos?

Unit 1 ¿Te gustaría ir al cine?

Unit 2 Lo siento, no puedo

Unit 3 ¿Cómo te preparas?

Unit 4 ¿Qué vas a llevar?

Unit 5 ¡Hoy partido!

Unit 6 Writing Skills

Unit 1 ¿Que casa prefieres?

Unit 2 ¿Qué se puede hacer en…?

Unit 3 ¿Dónde está?

Unit 4 Campamentos de Verano

Unit 5 Listening skills

Resumen y repaso de la unidad

Revision Week 1

Revision Week 2

Proyecto final de curso

What is PSHE? – What should we learn and what is important to us

How do we take care of ourselves when we are sick?

Healthy Habits – Sleep, food, exercise, hygiene and routines

Keeping Clean & Looking After Your Body – Personal hygiene, dental care, skin, hair and everyday self-care

Food & Nutrition – Food groups, balanced diets, energy and making healthy choices

Understanding Emotions – Different emotions, recognising feelings and expressing them appropriately

Managing Difficult Feelings – Stress, worry, frustration and simple coping strategies

Asking for Help – Trusted adults, support networks and when to speak to someone

Friendship – What makes a good friend? Trust, kindness, honesty and support

Respect & Kindness – Respecting differences, treating others fairly and inclusion

Arguments & Conflict – Why disagreements happen and how to resolve them

Bullying – What bullying is, what it isn't, bystanders and getting help

Peer Pressure – How friends can influence decisions and how to say no

Building a Positive Community – How individual actions affect a class/school community

My Online Life – How much time we spend online and what we use technology for

Online Safety – Passwords, privacy and keeping personal information safe

What Can I Trust Online? – Fake information, misleading content and checking sources

Social Media & Online Behaviour – How we communicate online and consequences of our choices

Cyberbullying & Reporting – Recognising harmful behaviour and knowing how to report it

Being Responsible Online – Digital footprints, screenshots, sharing and thinking before posting

Growing Up: What Changes? – Physical, emotional and social changes during adolescence

Puberty – Basic understanding of puberty and why bodies change

Body Image – Everybody develops differently; avoiding unhealthy comparisons

Personal Boundaries – Personal space, privacy, saying no and respecting others' boundaries

Consent & Respect – Understanding that people have choices about their own bodies and boundaries

Staying Safe – Recognising unsafe situations and seeking help

First Aid Basics – What to do in simple emergencies and when to get adult/emergency help

Medicines & Staying Safe – Medicines are useful but must be used safely and appropriately

Smoking, Vaping & Nicotine – What nicotine is, why young people should avoid it and how advertising/social influence can affect choices

Money: Needs vs Wants – Difference between needs and wants; making choices with limited money

Saving Money – Why people save, short/long-term goals and delayed gratification

Making Smart Choices – Comparing choices, consequences and opportunity cost in everyday life

Advertising & Persuasion – How adverts influence what we buy and want

Independence & Responsibility – Looking after belongings, time, responsibilities and making good choices

Problem Solving – Breaking problems down, considering options and consequences

Year 8 Life Skills Challenge – Apply knowledge from the year to realistic everyday situations

Reflection & Looking Ahead – What have I learned? What skills have I developed? Preparing for Year 9

Creating imagery using figurative language – focusing on experiences

(Exposition) Characterisation – how do we get to know the characters in books: STEAL (speech, thoughts, effect on others, actions, looks)

Setting – pathetic fallacy – mood, symbols, connotations, semantic fields

Freytag’s pyramid – associated terminology

Conclude Lord of the Flies – review/analysis

Orange – Wendy Cope

Out of the Blue – Simon Armitage

Sonnet 18: Shall I compare thee to a summer’s day? – Shakespeare

One Art – Elizabeth Bishop

Write Haiku

Summarising – Developing advanced reading comprehension to filter and synthesise key plot points.

Responding to information – Evaluating text layout and assessing how informational structures affect reader perception.

Describing for effect – Analysing high-level sensory imagery and tracking the psychological impact of specific word choices.

Selecting evidence – Mastering quote integration to justify critical claims during close-reading tasks.

Building a response – Structuring academic analytical paragraphs using a clear critical thesis.

Exploring structure – Investigating how non-fiction texts use structural order to cleanly outline complex ideas.

Exploring sentences – Manipulating advanced sentence boundaries and syntax varieties to stress ideas.

Planning a response – Strategies for organising evidence and building comparative essays.

Comparing texts – Evaluating shared themes and contrasting author viewpoints across two parallel extracts.

Summarising – Condensing character arcs and extract highlights down to core thematic shifts.

Structuring a text – Outlining non-fiction or instructional guides with progressive organisational templates.

Choosing the right words – Shifting tone to fit specific audiences by monitoring vocabulary registers.

Building a paragraph of advice – Formatting supportive, instructional arguments into persuasive advisory paragraphs.

Crafting sentences – Deploying modal verbs and distinct sentence structures to evoke authoritative voices.

Choosing vocabulary – Utilising elevated abstract nouns and adjectives to describe growth themes.

Openings and endings – Evaluating the stylistic cohesion between how an analytical piece or story starts and stops.

Reviewing and revising – Practicing structural self-editing and fine-tuning tonal inconsistencies.

Animal Farm performance - rehearsal

Creating a response – Transforming raw textual observations into a well-supported initial critique.

Building a description – Pairing heavy sensory language with structural changes to describe atmospheric places.

Changing responses – Studying how fresh narrative information alters consumer interpretations.

Exploring structure – Analysing how space and sequence are manipulated across travel and descriptive logs.

Responding to perspective – Unpacking cultural biases and individual worldviews within personal travelogues.

Comparative structures – Organising structured essays that weigh descriptions of contrasting settings.

Verbs and voice – Manipulating active vs. passive voice structures to vary description focus.

Writing for impact – Deploying precise figurative tools like zoomorphism and oxymorons to shock readers.

Polishing descriptions – Advanced mechanics workshop to eliminate cliché adjectives.

Historical perspectives – Exploring how different eras and speakers frame major historical moments.

Fact vs. opinion – Filtering objective facts out from subjective journalistic reporting.

Structuring timelines – Formatting informational prose to display time-sensitive data cleanly.

Emotive vocabulary – Tracking how dramatic historical accounts use loaded words to evoke specific biases.

Rhetoric of speeches – Analysing historically famous speeches to track how political or social figures persuade audiences.

Parallelism and repetition – Utilising rhythmic sentence structures to craft a powerful rhetorical voice.

Biographical writing – Writing an objective profile summarising a historical figure's life choices.

Introductions and conclusions – Building balanced opening and closing paragraphs for persuasive essays.

The editing cycle – Adjusting chronological errors and correcting subtle grammar tenses.

Completion of class text

Engaging the reader – Studying how media campaigns, headlines, and sub-headings instantly capture eyes.

Visual layouts – Analysing how multimodal texts use figures, formatting, and images alongside prose.

Bias and hyperbole – Dissecting exaggeration strategies in marketing and opinionated media pieces.

High-impact vocabulary – Choosing vivid verbs and shocking descriptors to drive a fast-paced point home.

Structuring an argument – Building an academic debate piece by transitioning between distinct claims.

Counter-arguments – Introducing, evaluating, and disproving opposing viewpoints within an essay.

Rhetorical questions – Strategic use of targeted questions to challenge a reader’s assumptions.

Tone consistency – Ensuring a professional, objective, or passionately intense tone is sustained throughout a text.

Proofreading under constraints – Rapid self-correction protocols focused on spelling, punctuation, and grammar.

Autobiographical focus – Analysing how modern authors share identity, background, and personal conflict themes.

Subtext and nuance – Reading between the lines to catch hidden anxieties or unspoken motivations in dialogue.

Character voice – Writing distinct dialogue registers that represent specific characters' backgrounds.

Figurative identity – Deploying deep, extended metaphors to symbolically express a character’s internal thoughts.

Narrative shifts – Structuring flash-backs, flash-forwards, or dual-perspective stories smoothly.

Complex sentence tracking – Using long multi-clause lines to mimic continuous thoughts and overthinking.

Monologues – Designing long, solo dramatic scripts that detail deep internal struggles.

Thematic conclusions – Crafting satisfying endings that leave an audience reflecting on deeper human choices.

Reviewing, revising and proofreading – Polishing final stylistic elements to elevate emotional impact.

Speeches

Diagnostic bridge: Years 7–8 number, algebra and non-routine reasoning

Index laws, roots and factor structure in non-routine problems

Exact arithmetic and percentage-change reasoning

Ratio scaling, unit rates and proportional structure

Formula manipulation, expansion and factorisation

Choice of variable and hidden linear equations

Inequality, sequence, function and graph challenge methods

Cumulative Years 7–8 Algebra review and targeted correction

Rational and irrational numbers

Classification of real numbers

Square roots of non-square positive integers

Location of surds between consecutive integers

Decimal estimates of surds

Estimation problems involving surds

Product and quotient laws of indices

Power of a power

Zero and negative integer indices

Combined index-law problems

Index laws with algebraic bases

Zero and negative indices in algebra

Combined algebraic index-law problems

Numbers in standard form

Operations with numbers in standard form

Standard form in practical contexts

Chapter review: The number system

Chapter review: Fractions, decimals and percentages

Chapter review: Algebra

Chapter review: Inequalities, sequences, functions and graphs

Topic check 1: The number system

Topic check 2: Fractions, decimals and percentages

Topic check 3 and feedback: Ratio and proportion

Topic check 4 and feedback: Algebra

Topic check 5 and feedback: Inequalities, sequences and functions

Topic check 6 and feedback: Graphs and straight lines

Topic check 1 feedback and correction

Topic check 2 feedback and correction

Assessment feedback and targeted practice

Assessment feedback and targeted practice

Assessment feedback and transition to IGCSE

Rounding to significant figures

Upper and lower bounds

Error intervals

Bounds in calculations

Terminating and recurring decimals

Fractions as recurring decimals

Recurring decimals as fractions

Multiplication of fractions and decimals

Division of fractions and decimals

Estimation of products and quotients

Combined operations with fractions

Combined operations with decimals

Exact and approximate answers

Multi-step numerical problems

Percentage increase and decrease

Original-value problems

Repeated percentage change

Simple and compound growth

Percentage problems in context

Equivalent ratios with different units

Ratio chains

Sharing in a multi-part ratio

Multi-step ratio problems

Direct proportion and the unitary method

Direct-proportion formulae

Direct-proportion graphs and problems

Inverse proportion

Inverse-proportion formulae

Inverse-proportion problems

Ratio and proportion challenge problems

First cumulative assessment: Chapters 1–3

Second cumulative assessment — Paper 1

Second cumulative assessment — Paper 2

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2: unfamiliar reasoning and mathematical writing

Algebraic expressions with powers and roots

Expressions from words

Substitution into algebraic expressions

Simplification of algebraic expressions

Expansion of a single bracket

Expansion of two brackets

Expansion of squared binomials

Expansion and simplification

Difference-of-squares factorisation

Algebraic fractions: restrictions and simplification

Multiplication of algebraic fractions

Division of algebraic fractions with a non-zero divisor

Addition and subtraction of algebraic fractions

Equivalent algebraic fractions and excluded values

Change of subject of a formula

Change of subject with fractions

Linear equations with algebraic fractions

Equations with an unknown denominator

Equations from contextual problems

Non-routine formula and equation problems

Simultaneous equations by elimination

Simultaneous equations by substitution

Choice of method for simultaneous equations

Applications of simultaneous equations

Graphs of two linear equations

Graphical solutions of simultaneous equations

Compare and validate algebraic and graphical solutions

Second cumulative review: Chapters 1–4

Second cumulative review: mixed and non-routine problems

Linear inequalities

Inequalities with the unknown on both sides

Inequalities with brackets

Solution sets and interval notation

Linear-inequality problems

First and second differences

Nth terms of linear sequences

Nth terms of simple quadratic sequences

Nth terms of the form n/a, where a is a non-zero constant

Nth terms involving n³

Pattern rules and sequence membership

Function notation and evaluation

Functions from tables and rules

Inputs and inverse operations

Functions with more than one operation

Function problems in context

Tables of values for ax + by = c

Graphs of ax + by = c

Tables of values for y = x² + c

Graphs of y = x² + c

Linear and quadratic graph intersections

Interpretation of linear and quadratic graphs

Graphical problem set

Gradient of a straight line

Equation of a straight line

Straight lines with fractional gradients

Straight lines in implicit form

Practical straight-line graphs

Rate and compound-measure graphs

Comparing solutions to sequence, function and graph problems

Math Game

Final review: core methods and representations

Final Algebra review: targeted correction, non-routine synthesis and IGCSE transition

Entry diagnostic: geometric calculation, reading a diagram and a short proof

Hypothesis and conclusion. Theorem, converse, necessary and sufficient conditions, counterexample

Diagrams and notation. Given–prove structure and statement–reason proof format

Triangle congruence criteria as proof tools: choosing a criterion from a diagram

Isosceles triangles: proving the property and its converse

Proof chains using congruent triangles and corresponding parts

Parallel lines and a transversal as proof tools, without reteaching basic definitions

Triangle angle sum and exterior angles as steps within a proof

Multi-step problems on angles and congruence. Choosing an auxiliary construction

Right-angled triangles: congruence criteria and short proofs

Working backwards in a proof: planning a chain from the required result to the given facts

Checkpoint 1: Language and Techniques of Proof

Assessment 2: Quadrilaterals and Proof

Checkpoint 3: Mid-Segments, Thales' Theorem and Constructions

Assessment 4: Areas, Circle Measures and Solids

Assessment 5: Pythagoras and Trigonometry

Checkpoint 6: Proof Portfolio

Review of Checkpoint 1 and individual correction of proofs

Review of Assessment 2 and correction of common logical errors

Review of Checkpoint 3 and correction of proofs

Review of the mid-year assessment and individual correction of proofs

Review of Assessment 4 and correction

Review of Assessment 5 and correction

Review and individual revision of the proof portfolio

Parallelograms: proving properties of sides, angles and diagonals

Tests for a parallelogram and choosing a sufficient set of conditions

Point symmetry and its properties. A parallelogram as a centrally symmetric shape

Auxiliary constructions involving parallelograms

Proof problems involving a diagonal, a midpoint and a parallel line

Rectangles: properties and tests. Proofs using parallelogram results

Rhombi: properties and tests. Perpendicular diagonals and angle bisectors

Squares and the hierarchy of quadrilaterals. Which properties are sufficient tests?

Trapezia: elements and types. Proofs using additional parallel lines

Isosceles trapezia: proving properties of angles and diagonals

Tests for an isosceles trapezium and proofs from a property to a criterion

Mixed proofs involving parallelograms, special quadrilaterals and trapezia

Constructing a quadrilateral from given elements: analysis, construction and proof

Mid-segment of a triangle: statement and proof of the theorem

Problems on triangle mid-segments and recognising the configuration in reverse

Mid-segment of a trapezium: theorem and two proof methods

Varignon's theorem for an arbitrary quadrilateral

The centroid of a triangle and the 2:1 ratio

Thales' intercept theorem and its proof for equal segments

Dividing a segment into equal parts and in a given ratio using ruler and compasses

Lemma on proportional segments. The angle-bisector property in a triangle

Constructions with parallel lines using Thales' intercept theorem

Loci and accurate constructions: analysis, execution and proof

Similar shapes, scale factor and corresponding elements

AA similarity criterion: proof and application

SAS similarity criterion: proof and application

SSS similarity criterion: proof and application

Mixed similarity problems: building a model and proving similarity

Perimeter and area ratios of similar shapes: scale factors k and k²

Maps, scale drawings and bearings: three-figure bearing notation

Enlargement on the coordinate plane: centre and positive fractional scale factor

Negative and fractional enlargement factors. Invariants under transformations

Translation, rotation, reflection and enlargement: invariants and compositions

Mid-year assessment, Part 1: calculations and applications of theorems

Mid-year assessment, Part 2: proofs and constructions

Mixed problems on similarity, scale and bearings

Practical project: a scale site plan with bearings and justification of measurements

Modelling a real situation: drawing a diagram, choosing a method and checking reasonableness

Deriving the area formulae for rectangles, parallelograms, triangles and trapezia

Triangles with a common base or equal heights: comparing areas

The added-area method in proofs and calculations

The butterfly area property and its proof

Area ratios of triangles with a common height or a common base

The ratio in which a cevian divides the area of a triangle

Proving the angle-bisector property using areas

Area of the Varignon parallelogram. Quadrilaterals with perpendicular diagonals

Proof workshop using area methods

Circumference and area of a circle: derivation, units and applications

Prisms and cylinders: surface area and volume

Compound problems with circles, prisms and cylinders: modelling and units

Arc lengths and sector areas as an IGCSE bridge

Pythagoras and trigonometry in 3D: diagonals of cuboids and prisms

Plans, elevations, nets and simple cross-sections of solids

Compound solids: volume, surface area and unit conversions

Multi-step British-style measures problems: choosing a model and evaluating the result

Pythagoras' theorem: several proofs and its conditions of use

The converse of Pythagoras' theorem and Pythagorean triples

45°–45°–90° and 30°–60°–90° right-angled triangles

Altitude to the hypotenuse and the three similar right-angled triangles

Proportional segments in a right-angled triangle: projection theorems

The geometric mean of two segments and its geometric construction

Multi-step calculation and proof problems using Pythagoras' theorem

Calculating distances in plane figures and between coordinate points

Coordinate problems on distance, midpoint and geometric constraints

The tangent ratio as a ratio of sides in similar right-angled triangles

Sine and cosine of an acute angle. Choosing the appropriate ratio

Finding unknown sides of a right-angled triangle using trigonometry

Inverse trigonometric functions and finding angles

Angles of elevation and depression, bearings and applied problems

Mixed problems with exact and approximate values. Choosing an appropriate degree of accuracy

Transformations as tools for proving geometric properties

Mixed-proof workshop: quadrilaterals, similarity and areas

Auxiliary constructions and working backwards in challenging problems

Integrated IGCSE-style problem: scale, similarity, area, volume and trigonometry

Non-routine modelling and geometric reasoning problems

Final review: a map of theorems, methods and common proof configurations

Final assessment, Part 1: calculations and applications of theorems

Final assessment, Part 2: proofs, constructions and an applied problem

Entry diagnostic: proof, number theory, counting, induction, invariants and graph foundations

Statements, definitions, counterexamples and direct proof

Proof by contradiction

Exhaustive casework, edge cases and completeness

Divisibility, quotient–remainder form and HCF (GCD)

Proof writing with divisibility: lemmas and complete justification

Euclidean algorithm

Euclidean-algorithm practice and justification

Induction: base case, hypothesis and inductive step

Complete inductive proofs in divisibility and counting

Systematic counting: products, complements and selections

Pair counting and double counting

Pigeonhole principle

Extremal choice and minimal counterexamples

Parity and two-colouring invariants

Colouring invariants and simple monovariants

Graph foundations, trees and unique paths

Graph practice: degrees, connectivity, trees and unique paths

Mixed proof, number theory, counting, induction, invariants and graph problems

Proof writing across number theory, induction, invariants and graphs

Integer constraints and the necessary GCD condition

Back-substitution and Bézout coefficients

The GCD solvability criterion and a particular solution

Parametrising integer solutions and imposing non-negative constraints

Topic check 1: linear Diophantine equations

Topic-check feedback and proof rewriting

Quotient–remainder representation and remainder cycles

Congruence notation

Congruence properties and algebraic proofs of divisibility tests

Residues as impossibility invariants

First cumulative assessment

Assessment feedback and solution rewriting

Prerequisite clinic: recursive definitions and complete inductive steps

Recursive definitions and initial conditions

Strong induction and its relation to ordinary induction

Strengthening the inductive hypothesis

Induction in divisibility and inequality problems

Induction for recursively defined sequences

Discrete intermediate-value principle for unit-step sequences

Combining colouring with monotone change

Parity and residue invariants

Choosing a semi-invariant

Proving termination or impossibility in a finite process

Topic check 2 and immediate feedback: discrete continuity, colouring and semi-invariants

Adding and multiplying modulo n

Power cycles

Solving introductory linear congruences

The Euclidean algorithm to find an inverse

Classifying no-solution and multiple-solution cases

Review problems: modular arithmetic and linear congruences

Proving AM–GM for two non-negative variables and identifying equality

AM–GM for several variables in accessible cases

Translating an optimisation problem into a fixed-sum or fixed-product form

Checking boundary and equality cases

Writing a complete inequality proof

Math Game

Second cumulative review: method selection and mixed proof practice

Second cumulative assessment

Assessment feedback and solution rewriting

Targeted recheck after the second cumulative assessment

Tree structure, leaf principle and deletion proof

Degree-sum double counting and bipartite structure

Combining induction with an extremal choice

Topic check 3: trees, graph induction and extremal structure

Topic-check feedback, final method review and proof planning

End-of-year assessment — Paper 1

End-of-year assessment — Paper 2

Assessment correction and transition review

Diagnostic bridge: Years 7–8 statistics and probability

Sampling, representation and comparison of data

Complements, combined events and experimental probability

Mixed statistics and probability problems

Statistical questions, questionnaires and data quality

Population, sample and sampling frame

Sampling methods and bias

Tally, frequency and two-way tables

Grouped tabulation and data-quality checks

Venn and Carroll diagrams; dual bar charts

Compound bar charts, pie charts and infographics

Frequency diagrams and frequency polygons

Stem-and-leaf and back-to-back stem-and-leaf diagrams

Time-series graphs

Scatter graphs, correlation and lines of best fit

Topic check and feedback: Data collection and representation

Topic check: Probability

Using averages to compare grouped distributions

Range and comparison of spread

Choice of an appropriate average

Comparison of distributions

Informal inference and misleading conclusions

Cumulative assessment: Statistics

End-of-year assessment: Statistics and probability

Assessment feedback and targeted practice

Math Game

Probability prerequisite retrieval and mutually exclusive events

Addition of probabilities for mutually exclusive events

Independence, dependence and mutual exclusivity

Multiplication of probabilities for independent events

Expected frequency

Expected and observed frequencies in chance experiments

Topic-check feedback and final review

Assessment feedback and transition

Physical Quantities and Units

Base vs. Derived Quantities

Scalar vs. Vector Quantities

Multiples and Submultiples of a Unit

Unit Conversions

Elements of Kinematics

Motion and Rest

Reference Frames

Distance and Displacement

Average Speed and Average Velocity

Uniform Motions in a Straight Line

Uniform Rectilinear Motions

Graphing Uniform Rectilinear Motions

Acceleration

Graphing Uniformly Accelerated Motion

Uniformly Accelerated Motions

Review of Kinematics

Newton’s Laws

Forces

Newtonian Mechanics

Space Physics

Centre of Mass

Rotational Equilibrium

Torque

Review of Newtonian Mechanics

Work and Energy

Power

Conservation of Energy

Energy Transfers

Efficiency

Specific Heat Capacity

States of Matter

Phase Transitions

Latent Heat Capacity

Review Energy

Linear Momentum

Conservation of Linear Momentum

Collisions

Fluids

Pressure

Buoyancy

Buoyant Force

Drag

Review Fluids and Linear Momentum

Waves

Wavelength, Period, Frequency, Speed of a Wave

Graphing a Wave

Sound as a Wave

Doppler Effect

Electromagnetic Waves

Light as a Wave

Reflection and Refraction of Light

Colours

Electrostatic Interaction

Coulomb Law

Electric Currents

Ohm’s Law

Series and Parallel Circuits

Review Waves and Electricity

Magnets

Magnetic Interaction

Electromagnetic Induction

Structure of Matter

Atom, Electron, Nucleus

Atomic Models

Exam Preparation

Review Sessions and Experimental Activities

Outdoor thread, part 3 – revisiting the same spot from Year 7 and 8, now through a materials-science lens (why does metal rust but stone doesn't?)

Preview the year ahead – this is the busiest KS3 year, ending in the real ILSA exam in June

Model of the atom (pt.1) – the structure of an atom: protons, neutrons and electrons

MolyMods – building physical models to visualise atomic structure

Model of the atom (pt.2) – the electrical charges carried by each particle in an atom

Isotope Detective (tangent) – intro: identifying elements from atomic number puzzles

Model of the atom (pt.3) – atomic number and mass number, and what they tell you

Isotope Detective – continue with harder puzzles

Periodic Table arrangement – how elements are ordered by atomic number, groups and periods

Consolidation – linking atomic structure to the table's layout

Group 1 (alkali metals) – reactions of lithium, sodium and potassium with water (shown on video due to the hazard)

Predict the Reaction (tangent) – predicting how more reactive alkali metals would behave

Group 1 trends, plus introducing Group 7 (the halogens)

Extend Predict the Reaction – applying the same logic to halogen trends

Group 7/halogen trends – physical and reactivity patterns down the group

Compare Group 1 vs Group 7 – why their reactivity trends run in opposite directions

Materials from the Earth (pt.1) – common polymers and ceramics, and how their properties relate to their uses

Materials Detective – project start: hands-on testing of everyday materials

Materials from the Earth (pt.2) – composite materials, and why we combine materials

Materials Detective – continue testing composites

Materials from the Earth (pt.3) – environmental impact, recycling and biodegradability

Materials Detective wrap-up, plus tracing one object's material journey (Life Cycle Audit)

Energy changes – exothermic and endothermic reactions (ones that release or absorb heat)

Hot or Cold Pack Challenge (tangent) – testing real hot and cold packs

Formulae & equations (pt.1) – writing word and symbol equations for chemical reactions

Balancing Equation Puzzles (tangent) – gamified practice

Formulae & equations (pt.2) – conservation of mass, and why some reactions seem to gain or lose mass

Continue equation practice with trickier examples

More reactions of acids (pt.1) – acid and metal oxide reactions

Fizz Test Forensics (tangent) – intro: identifying unknown powders using an acid test

More reactions of acids (pt.2) – acid and metal carbonate reactions, producing carbon dioxide

Fizz Test Forensics – continue, confirming results with the limewater test

Reactivity series (pt.1) – ranking metals using their reactions with oxygen, water and acid

Reactivity series (pt.2) – using carbon to extract metals from their oxides

Reactivity series (pt.3) – displacement reactions between metals

Reactivity series (pt.4) – how the extraction method used depends on a metal's reactivity

Ancient Metals Timeline (tangent) – why humans used gold and copper before iron and aluminium

Reactivity series – consolidation, pulling the whole topic together

Metals & Sustainability – project start: researching how metals are extracted

Metals & Sustainability – continue: comparing extraction methods and their environmental cost

Metals & Sustainability – continue: finalising research and preparing to present

Metals & Sustainability – wrap-up and presentations to the class

Metals & Sustainability – final reflection on what the project revealed

Rate of reaction (pt.1) – how temperature affects how fast a reaction happens

Fizzy Tablet Race (tangent) – a quick timed warm-up challenge

Rate of reaction (pt.2) – the effect of particle size, plus catalysts (substances that speed up reactions)

Rate of Reaction Investigation Fair – planning a student-designed experiment

Investigation Fair – collecting data from each group's chosen experiment

Investigation Fair – analysing results and presenting findings to the class

Command Word Bootcamp – start: learning what ILSA exam questions are really asking

Command Word Bootcamp – continue, practising exam-style questions

Cumulative revision – Year 7 content (ILSA covers all three years, not just Year 9)

Cumulative revision – Year 8 content

DEDICATED ILSA REVISION – mixed past-paper-style practice

Scientific Enquiry focus – practising the skills-based section of the exam

DEDICATED ILSA REVISION – targeted support on each student's weakest areas

Consolidation (pt.1) – reviewing this term's ideas together

Open tangent/extension

Light review of Term 1's big ideas

Light review continues, preparing for the checkpoint

Term 1 progress checkpoint – an informal check-in on this term's topics, not a formal test

Reflection – compiling the term's best work

Term 2 progress checkpoint – an informal check-in on this term's topics, not a formal test

Consolidation – reviewing this year's content

Consolidation continues

Diagnostic Paper A in Award format (Section A style, 60 marks)

Command words taught explicitly and enforced from this point on

Every student issued with a personal copy of the specification, to be annotated all year

Diagnostic Paper B: Scientific Enquiry (Section B style, 20 marks)

Personal Repair Plan written from both papers

Four repair lessons taught from what the papers actually found

Continuous and discontinuous variation; inherited and environmental causes

Choosing and drawing the correct graph type for the data

The relationship between nucleus, chromosome, gene and DNA

Extracting DNA from fruit — a practical that needs no laboratory

Alleles, dominant and recessive; constructing and reading Punnett squares

Expressing probability as a ratio, a fraction and a percentage

Interpreting pedigree charts

How selective breeding can lead to new plant varieties, and its stages (7.9)

Variation, competition, survival and inheritance as the mechanism of natural selection

Interpreting real evolutionary data sets

Fossil evidence; antibiotic resistance as evolution observable within a lifetime

Causes of extinction, past and present

Kingdoms and vertebrate groups; constructing and using dichotomous keys

Why biodiversity matters, with local and global examples

The structure of a virus and how it reproduces (1.6)

Viruses as obligate parasites causing harm to host cells (1.7)

Explaining why viruses may not be classed as living organisms (1.8)

Pathogen and parasite distinguished (3.1)

Bacteria, fungi and protoctists as agents of disease; structural comparison with viruses (3.2)

Plant and animal cells respire to produce ATP to provide energy for cells (1.4)

Word equations for aerobic and anaerobic respiration and the balanced symbol equation for aerobic respiration (1.5)

Revision conducted against the specification line by line, not against notes

Full paper walkthrough; marks lost to command words tracked separately from marks lost to content

How vaccination helps prevent the spread of disease in communities (3.5)

Interpreting real vaccination and disease-incidence data

Laboratory rules and routines established — first term of laboratory work

Antibiotics are effective against bacteria but not viruses (3.3)

Problems associated with overuse in humans and farmed animals (3.4)

Aseptic technique; investigating the effect of antimicrobials

Single and double circulatory systems distinguished (6.1)

Components of the circulatory system and their functions (6.2)

Pressure and rate of flow in arteries, veins and capillaries; cross-sectional diagrams (6.3)

Effect of exercise on heart rate and why the change matters (6.4); measuring average pulse rate (6.5)

Interpreting line graphs of pulse rate against exercise (6.6)

How lifestyle factors contribute to cardiovascular disease (6.7)

Explaining how temperature and concentration affect the rate of diffusion (4.3)

Calculating and comparing surface area to volume ratios (4.4)

How the structure of the leaf is adapted for photosynthesis (7.5)

Chlorophyll, chloroplast and photosynthesis used correctly and distinguished

Modelling photosynthesis with a word equation and a balanced symbol equation (7.6)

Measuring rate of photosynthesis by the leaf disc method

How light intensity and carbon dioxide concentration affect the rate of photosynthesis (7.7)

Describing and interpreting experimental procedures and results

How crop yield may be affected by changes in abiotic factors (7.8)

How fertilisers can increase crop yield (7.4)

Specification-led revision across Terms 1 and 2

Examination feedback

Species, population, community, habitat and ecosystem (9.7)

Inter-specific and intra-specific competition distinguished (9.8)

Drawing and interpreting pyramids of biomass (9.6)

Interpreting data on population numbers (9.9); explaining why numbers fluctuate (9.10)

Predator-prey interactions used to interpret data (9.11)

Specification-led revision, statement by statement, against annotated copies

Full mock walkthrough; repair driven by the three leak categories: content, command word, technique

Timed section practice; Section B Scientific Enquiry drilled specifically

The step from Lower Secondary to IGCSE 4BI1: depth, command words and mark allocation

Enzyme action at IGCSE depth; osmosis and active transport introduced

The IGCSE Core Practicals previewed; the standard of recording expected in Year 10

Students select a biological question and research it independently

Presentation to peers and staff, with peer questioning

Introduction to algorithms; sequence and selection; data types and variables; input/casting; pseudocode and flowcharts

Python data types: integer, real, string, Boolean; character concept; concatenation and casting; variable naming conventions

Count-controlled iteration; one-dimensional arrays; accessing array items; string manipulation including length, upper/lower case

Combining sequence, selection and count-controlled iteration; trace tables; following, editing and correcting algorithms

Iterative development; requirements → design → develop → test → review; normal, extreme and invalid test data; syntax, logic and runtime errors

Final chatbot: plan pseudocode, build in Python using variables/array and count-controlled loop; test, review and improve

Network fundamentals; devices, addresses and communication; bus, ring and star topologies; selecting topology for a scenario

Protocols and data transmission; data packets; how network design affects communication; hardware/software requirements

Scalability factors; designing networks to scale; sustainability and future expansion; evaluating network choices

Error detection: parity bits and parity blocks; perform calculations and identify transmission errors

Network security: access control, security protocols, cost, accessibility and differing security requirements of datasets

Final network proposal: topology, hardware/software, protocols, error checking and security; present and respond to peer feedback

Introduction to micro:bit and MicroPython; physical inputs/outputs; game design requirements; review prior Python skills

Algorithms for game mechanics; flowcharts/pseudocode; count-controlled loops; variables and one-dimensional arrays

MicroPython inputs and outputs; using arrays; random selection from a preset list; displaying information

Speech, music, images and timing; integrating multiple outputs; iterative development of the game

Testing with normal, extreme and invalid data; trace tables; debugging and reviewing iterations

Finalise the 'What am I?' game; evaluate development process; create player instructions/how-to guide

Digital-device design: user experience, accessibility, ergonomics, prototypes and emerging technologies

Systems software and operating systems; utility programs including drivers, security software and defragmentation

Language translators; why translation is needed; compilers and interpreters; characteristics and uses

Analogue sound digitisation; sampling concepts; storage units and conversion from bit/byte through larger units

Boolean expressions and logic circuits; representing expressions as circuits and checking circuit behaviour

Instruction storage; fetch-decode-execute cycle; machine learning applications; benefits and risks of computerisation in industry/manufacturing

Big Data concept and applications; modelling real-life systems; spreadsheet models and suitability for purpose

Spreadsheet modelling: formulas and functions; IF, MIN, MAX and COUNT; analysing data and interpreting outputs

Create and evaluate a spreadsheet model for a real-life scenario; check accuracy and suitability

Relational databases; tables, fields, records and relationships; linking two or more tables

Complex database searches using two or more criteria; relational queries and parameter queries

Apply database and spreadsheet skills to the VLE scenario; validate outputs and refine models

Evaluate final relational database and spreadsheet model; explain Big Data use and communicate findings

Decomposition and sub-programs; identify sub-problems and requirements; review iterative development

Python sub-programs/functions; defining and calling sub-programs; modular program design

Iteration and arrays in Python; patterns in solutions; efficient and reusable code; access and process array data

Develop a game/problem solution using sequence, selection, iteration, arrays and sub-programs

Testing and debugging: normal, extreme and invalid data; trace tables; iterative refinement and evaluation

Final project: integrate arrays, iteration and sub-programs; document requirements, development iterations and evaluation

HTML foundations

Text and page structure

Lists and content organisation

Hyperlinks

Bookmarks and anchors

Images

HTML media

Integrated HTML page

Introduction

The First World War: Why did Europe go to war in 1914?

The Assassination of Franz Ferdinand: How did one event trigger a wider conflict?

The Western Front: What was warfare like for soldiers?

Total War: How did WWI affect civilians as well as soldiers?

The End of WWI: Why did Germany and its allies lose?

The Treaty of Versailles: Did the peace settlement create new problems?

Population & Development: Why are countries developing at different rates?

Measuring Development: How can we compare quality of life around the world?

Global Inequality: Why is wealth distributed so unevenly?

Migration: Why do people move between countries?

Urbanisation: Why are cities growing so rapidly?

What Is Political Power? Who gets to make decisions in society?

Thomas Hobbes: Why might people accept a powerful government?

John Locke: What rights do individuals have?

Jean-Jacques Rousseau: Where should political power come from?

Hobbes vs Locke vs Rousseau: How should society be governed?

Revolution & Political Change: When might people challenge their government?

Karl Marx: How does economic inequality create political conflict?

John Stuart Mill: How much freedom should individuals have?

What Makes an Action Right or Wrong? Introduction to ethical thinking

Aristotle: What does it mean to live a good life?

Utilitarianism: Should we choose the action that creates the greatest happiness?

The Rise of Fascism: Why did extremist political movements gain support after WWI?

Hitler & Nazi Germany: How did Hitler gain and consolidate power?

Life in Nazi Germany: How did the regime control society?

The Road to WWII: Why did another world war begin in 1939?

WWII: How did the war become a truly global conflict?

The Holocaust: How and why did persecution develop into genocide?

The Home Front: How did WWII affect civilians?

The End of WWII: How did the war reshape the world?

Climate Change: Why is climate change a global challenge?

Natural Resources: Who controls the world's resources?

Water & Food Security: Why do some communities struggle to access basic resources?

Year 9 Humanities: How have conflict, ideas and geography shaped the modern world?

Getting to know each other - activities in Spanish

Review of basic knowledge

Unit 1 Cosas que me molan

Unit 2: Mi semana

Unit 3: Cartelera de cine

Unit 4: Un cumpleaños muy especial

Unit 5: Los famosos

Unit 6 Listening Skills

Resumen

Repaso

¡Adelante!

Grammar

Unit 1: Hotel Catástrofe

Unit 2: ¿En qué te gustaría trabajar?

Unit 3: ¿Cómo va a ser tu futuro?

Unit 4: ¿Cómo es un día típico?

El día del trabajo

Repaso

Adelante

Gramática y palabras

Unit 1: ¿Llevas una dieta sana?

Unit 2: ¡Preparados, listos, ya!

Unit 3: ¿Cuál es tu rutina diaria?

Unit 4: ¡Muévete!

Unit 5: ¡Me duele todo!

Speaking Skills

Resumen/Repaso

Adelante, Grammar, Palabras, Project

Full Module 3 consolidation and extension activities

Unit 1: Mis derechos

Unit 2: El comercio justo

Unit 3: ¡Reciclamos!

Unit 4: Mi ciudad

Writing Skills

Reading Skills

Resumen, Repaso, Adelante, Grammar and Palabras

Project

Full module review

Unit 1: ¡Mucho gusto!

Unit 2: La caza del tesoro

Unit 3: En la tienda de recuerdos

Unit 4: ¿Qué visitarás mañana?

Speaking Skills

Reading Skills

iGCSE preparation

What Should We Learn in PSHE? – What PSHE is, what issues matter to young people and what skills we need for life

Needs, Wants & Why We Spend Money – Needs vs wants, spending decisions, influence and priorities

Budgeting: Where Does Your Money Go? – Income, expenditure, budgeting and making choices with limited money

Saving & Financial Goals – Why people save, short/long-term goals and delayed gratification

Advertising & Consumer Choices – How companies persuade us to spend money

Influencers, Social Media & Spending – Influencer marketing, trends, FOMO and online consumer behaviour

Financial Scams & Staying Safe – Scams, suspicious messages, phishing and protecting personal information

Mental Health & Wellbeing – Mental health vs mental illness, wellbeing and looking after yourself

Stress & Pressure – Sources of pressure, recognising stress and healthy coping strategies

Managing Failure & Setbacks – Failure, resilience, learning from mistakes and dealing with disappointment

Self-Esteem & Confidence – Self-image, confidence and comparing yourself to others

Social Media & Mental Wellbeing – Comparison, validation, online pressure and healthy digital habits

Supporting Someone Else – Recognising when someone may be struggling and knowing how to respond/help

Healthy Relationships – What makes relationships healthy, respectful and supportive

Communication & Conflict – Communication styles, disagreement and resolving conflict

Boundaries – Personal boundaries, respecting other people's boundaries and communicating them

Consent – Consent, choice, pressure and respecting another person's decision

Peer Pressure – Why people sometimes make choices they wouldn't normally make

Online Identity – Digital footprints, reputation and how online behaviour can affect the future

Misinformation & Fake News – How misinformation spreads and how to evaluate information

Algorithms & Social Media – How platforms personalise content and influence what we see

Online Privacy & Security – Passwords, personal data, privacy settings and scams

Risk & Consequences Scenarios

Alcohol & Vaping – Risks, peer pressure, addiction and decision-making

Risk & Consequences – Short-term vs long-term consequences and assessing risky situations

Making Independent Decisions – Weighing up options, consequences, values and outside influences

Personal Safety – Staying safe in public, at parties/events and when travelling independently

Careers & The World of Work – Different career pathways, skills and changing workplaces

Skills & Employability – Communication, teamwork, problem solving, reliability and initiative

CVs & Applications – What a CV is, presenting skills and experiences

Interview Skills – Communication, preparation and responding to questions

Mini CV

Mock Interview

Independence & Responsibility – Managing time, responsibilities, appointments and everyday life

Problem Solving & Decision Making – Applying everything learned to realistic life situations

Year 9 Life Skills Assessment – Students respond to a series of realistic financial, social, online and personal scenarios

Looking Ahead to Year 10 – Reflection on skills developed, challenges ahead and personal goals

Creating imagery using figurative language – focusing on experiences

Course Introduction & Non-Fiction Reading Basics – Identify explicit and implicit meanings in short, unfamiliar non-fiction texts.

Anthology Part 1: Text 1 Analysis – Analyse how an author uses specialised vocabulary to introduce an independent perspective.

Anthology Part 1: Text 2 Analysis – Compare structural features and structural setups across two short non-fiction extracts.

Anthology Part 1: Text 3 Analysis – Deconstruct an author’s use of sensory descriptive imagery to manipulate reader emotion.

Anthology Part 1: Text 4 Analysis – Identify shifting tones and implicit biases in an autobiographical extract.

Anthology Part 1: Text 5 Analysis – Analyse how a writer structurally captures an extraordinary personal memory.

Anthology Part 1: Text 6 Analysis – Trace implicit socio-cultural bias in a vintage travelogue extract.

Anthology Part 1: Text 7 Analysis – Summarise a complex, informative text concisely without losing the original meaning.

Anthology Part 1: Text 8 Analysis – Deconstruct structural layout patterns in professional historical reportage.

Anthology Part 1: Text 9 Analysis – Isolate stylistic shifts and stylistic devices across modern journalistic prose.

Anthology Part 1: Text 10 Analysis – Synthesize all main concepts from the final anthology non-fiction text to prepare for question blends.

Edwardian Context & Drama Layout Structures – Outline the Edwardian social hierarchy, capitalism, and the 1945 post-war context surrounding Priestley’s play.

An Inspector Calls Act 1: The Birling Dynasty – Evaluate Mr. Birling’s capitalist ideology and trace the dramatic irony within his opening speeches.

An Inspector Calls Act 1: The Entrance – Explain how the Inspector’s physical entrance shifts the acoustic and visual dynamics on stage.

An Inspector Calls Act 2: Sybil & Gerald's Secrets – Track how Mrs. Birling is systematically trapped by her own social hypocrisy and arrogance.

An Inspector Calls Act 2/3: Eric’s Crime – Isolate how the theme of collective social responsibility clashes with individual self-preservation.

An Inspector Calls Act 3: The Phone Call Climax – Evaluate the structural and dramatic impact of the play's final telephone call cliffhanger.

Priestley’s Socialist Intentions & Manifesto Deliberations – Draft an analytical paragraph explaining the Inspector’s role as a moral mouthpiece rather than a standard detective.

An Inspector Calls Character Evolution Tracking – Appraise Sheila’s transformation from a superficial consumer to a socially conscious individual.

An Inspector Calls Generational Theme Architecture – Synthesise how the conflict theme of age vs. youth operates across the play's resolution.

Paper 1 Section A Essay Structural Mastery – Structure a multi-paragraph, closed-book literary essay using formal thesis layouts.

Transactional Writing: Formal Letters – Produce a formal letter using appropriate structural layouts, greetings, and registers.

Transactional Writing: Persuasive Speeches – Employ rhetorical structural devices like the rule of three and anaphora in a short speech sample.

Transactional Writing: Magazine & News Articles – Write a lively, informative magazine article utilising a punchy headline and subheadings.

Transactional Writing: Informational Leaflets – Design a text-based informational pamphlet utilising clean formatting and bullet points.

Transactional Writing: Critical Reviews – Compose a critical review utilising persuasive adjectives and clear personal judgement.

Grammar Mechanics Integration (Independent Language Study Week) – Correct errors in punctuation boundaries, comma splicing, and structural parallelism.

Transactional Writing: Step-by-Step Guides – Produce an instructional advice guide using authoritative modal verbs and clear imperative clauses.

Advanced Syntax Modification – Manipulate complex and compound sentences to create targeted rhetorical layouts.

Vocabulary Elevation Protocols – Eliminate cliché adjectives and weak verbs from transactional writing drafts.

Unseen Non-Fiction Parsing Techniques – Extract and synthesise core facts and data points from an unfamiliar news report.

Paper 1 Question 4 Blueprint Skills – Apply skim-and-scan techniques to isolate evidence in an unseen text rapidly.

Unseen Text Comparative Frameworks – Map stylistic overlaps between an unfamiliar unseen text and an anthology staple text.

Paper 1 Section A Synthesis Exercises – Draft an integrated 12-mark answer comparing text viewpoints under standard timed conditions.

Imaginative Writing: Structural Foundations – Vary sentence lengths consciously to alter narrative pacing and tension.

Imaginative Writing: Hooks & Openings – Craft a descriptive narrative hook utilising focused sensory language and pathetic fallacy.

Imaginative Writing: Character Profiles – Develop an unconventional character profile using indirect characterisation and dialogue cues.

Imaginative Writing: Narrative Endings – Write a narrative resolution that utilises intentional subtext and circular structures.

Poetry Anthology: Stanza & Metric Layout Foundations – Deconstruct the central stanza architecture and layout blueprint of a seen poem.

Poetry Anthology: Poem 2 Tone Mapping – Identify shifting metrics, caesuras, and rhythms across poetic lines.

Poetry Anthology: Poem 3 Imagery Tracking – Explain how an author uses extended metaphors to hide a deeper political message.

Poetry Anthology: Poem 4 Environmental Connections – Compare how two different anthology poets depict hostile natural landscapes.

Poetry Anthology: Poem 5 Context Mapping – Analyse how the historical and social background of a poet influences their language choices.

Poetry Anthology: Poem 6 Structural Contrast – Evaluate how an author uses juxtaposition to visualise emotional conflict.

Poetry Anthology: Poem 7 Metric Shifts – Identify structural turns (the volta) across traditional sonnet frames.

Poetry Anthology: Poem 8 Internal Monologues – Analyse the tone of an internal monologue within poetry to discover character flaws.

Dual-Poem Comparative Structuring Tools – Structure a dual-poem literature essay using clear comparative connectives and parallel metrics.

Unseen Poetry Strategy Intro – Annotate an unfamiliar poem for basic structural choices, rhyme schemes, and tonal shifts.

Feedback – Revise and improve

Klara and the Sun: Part 1 (The Shop Window Context) – Analyse Klara’s unique, highly analytical, and compartmentalised narrative voice.

Klara and the Sun: Part 2 (The House & Human Myopia) – Track how Klara misinterprets human emotion, social etiquette, and family boundaries.

Klara and the Sun: Part 3 (Rick, Josie, & Genetic Upgrades) – Analyse the dystopian context of "lifted" children and the resulting class divisions.

Klara and the Sun: Part 4 (The City & Human Substitutions) – Evaluate the sinister underlying motives of the Mother and Mr Capaldi's portrait project.

Klara and the Sun: Part 5 (The Barn & Lyrical Devotion) – Appraise Klara’s religious, devotion-like relationship with the Sun as an optimisation programme.

Klara and the Sun: Part 6 (The Utility Room Termination) – Construct an analytical essay exploring Klara's final fate and Ishiguro's definition of human uniqueness.

Modern Prose Thematic Mapping (Independent Literature Week) – Trace themes of loneliness, artificial utility, and maternal grief across Klara and the Sun.

Spoken Language Endorsement Execution – Deliver a formal presentation on a chosen global issue and respond intelligently to audience questions.

LITERATURE COMPONENT 3 DISCOVERY: Drafting Klara Essay Questions – Formulate complex, multi-layered essay prompt proposals targeting human substitutes or isolation mechanics in Klara.

LITERATURE COURSEWORK WORKSHOP: Klara and the Sun First Draft (Assignment 1) – Produce a comprehensive 800-word draft utilising formal close-reading analysis points without exam structural shortcuts.

Literature Assignment 1: Editing & Citation Polish – Audit the thesis flow and ensure all references to Ishiguro's modern prose are seamlessly embedded.

DEADLINE: Literature Coursework Assignment 1 draft Hand-In.

Responding to feedback – Revise and improve

DEADLINE: Literature Coursework Assignment 1 Final Hand-In – Submit the polished final edition of the Klara and the Sun coursework assignment.

EARLY COURSEWORK INTRO: Anthology Part 2 Exploration – Deconstruct the language choices of poetry and prose texts in Anthology Part 2 to identify themes suitable for Assignment 1.

COURSEWORK BOOTCAMP: Selecting Text & Formulating Prompts – Select a primary text from Anthology Part 2 and formulate a rigorous, high-level analytical essay prompt for Assignment 1.

End-of-Year 10 Coursework Thesis Launch – Draft the introductory paragraph and structural roadmap for Language Coursework Assignment 1 over the summer break.

Entry diagnostic: number, ratio, percentage, standard form, index laws and bounds

Entry diagnostic: algebraic manipulation, formulae, algebraic fractions and linear systems

Entry diagnostic: inequalities, sequences, functions, graphs and mathematical argument

Diagnostic analysis, British–Spanish notation bridge and differentiated priority plan

Targeted restoration: exact arithmetic, index laws, recurring decimals and bounds

Targeted restoration: expansion, factorisation, formulae, algebraic fractions and excluded values

Substitution into formulae containing powers, roots and fractions

Linear equations with fractional coefficients and the unknown on both sides

Forming and solving simple linear equations from contextual data; reversible transformations

Recurring decimals as exact fractions

Integer and negative indices, roots and exact calculations

Entry-bridge exit check, targeted correction and extension

Natural, integer, rational and irrational numbers; fractional indices in numerical and algebraic expressions; exact values

Upper and lower bounds in multi-step calculations

Simplifying products and sums of surds

Rationalising denominators using a single surd and a conjugate

Standard-form calculations, calculator display interpretation and accuracy checks

Equations involving roots and powers: isolation, squaring and checking extraneous solutions

Substitution to reduce an equation to quadratic form

Rational equations: domain restrictions before clearing denominators

Rational equations with quadratic denominators

Equation-method checkpoint: restrictions, reversibility and checking

Quadratic graphs: intercepts, axis of symmetry and vertex

Linking factors, roots and x-intercepts in a quadratic graph

Forming quadratic equations from contextual information

Sums and products of roots of a quadratic

Constructing a quadratic equation from its roots

Quadratics checkpoint: methods, graphs and roots

Currency conversion and calculator accuracy in financial contexts

Interchanging and selecting fraction, decimal, ratio, proportion and percentage forms; prime factors, HCF and LCM

Repeated percentage change, compound interest and reverse percentages

Direct and inverse proportion: equations, constants of proportionality and required graph shapes

Formulae for direct and inverse proportion involving powers; relate equations to their graphs

Comparative costs, taxation, salaries and income tax

Expanding and simplifying products of three linear expressions

Changing the subject when it occurs twice

Changing the subject when a power or root is involved

Factorising monic quadratic expressions

Factorising non-monic quadratic expressions

Simplifying algebraic fractions with linear and quadratic factors

Adding, subtracting, multiplying and dividing algebraic fractions

Solving algebraic-fraction equations with excluded values

Quadratic equations by factorisation after rearrangement

Completing the square for a quadratic expression

Solving quadratic equations by completing the square

Deriving and applying the quadratic formula

The discriminant and the number of real roots

Choosing and verifying a method for a quadratic equation

Cubic graphs: roots, sign and end behaviour

Reciprocal graphs y = a/x and y = a/x²: domains, asymptotes and excluded values

Selected mixed graphs y = Ax³ + Bx² + Cx + D + E/x + F/x² (at least three coefficients zero): sketch, solve and interpret

Solving quadratic equations graphically

Solving cubic and reciprocal equations graphically

Graphical intersection of a line and a non-linear function; intersection abscissae as solutions of (y2 − y1) = 0

Interpreting a simultaneous solution as the intersection of two graphs

Linear simultaneous equations with fractional coefficients

Contextual problems leading to simultaneous equations

Simultaneous-equations checkpoint and targeted correction

One linear and one quadratic equation by substitution

One linear and one quadratic equation by elimination

Linear inequalities: sign reversal, double inequalities and endpoints

Quadratic inequalities by factorisation and a sign chart

Quadratic inequalities on a number line

Regions defined by simultaneous linear inequalities

Absolute-value inequalities and interval interpretation

Inequalities checkpoint: algebraic and graphical solution sets

Functions as mappings; notation, domain and range

Evaluating functions with excluded domain values

Composite functions: order of operations and domain

Inverse functions and one-to-one restrictions

Domain and range of a composite or inverse function

Function-notation exam problems and method selection

Translations of y = f(x) in the coordinate plane

Reflections of y = f(x) in the axes

Stretches of y = f(x) parallel to the axes

Combining transformations and recovering the transformed function

Absolute-value and piecewise-defined functions

Floor and ceiling functions: graphs and discontinuities

Term-to-term and position-to-term sequence definitions

Difference methods for linear and quadratic sequences

Arithmetic sequences: first term, common difference and nth term

Finding an arithmetic sequence from non-consecutive terms

Sum of the first n terms of an arithmetic series

Arithmetic-series exam problems and equation formation

Variable rate of change; draw a tangent and suitable right-angled triangle to calculate its gradient

Differentiating positive integer powers of x using dy/dx notation

Differentiating sums of integer powers

Stationary points from f′(x) = 0

Classifying maxima and minima from the graph shape

Calculus checkpoint: derivatives, tangents and stationary points

Displacement, velocity and acceleration from a polynomial model

Drawing and interpreting distance–time and speed–time graphs; distance versus displacement, speed versus velocity, signs and units

Tangents and normals to a polynomial curve

Optimising a one-variable algebraic model

Rates of change in non-geometric practical contexts

Calculus application problems: model, differentiate and interpret

Equality, identity and equivalence in an algebraic argument

Direct proof using expansion and factorisation

Proving divisibility statements by algebraic factorisation

Disproving a universal algebraic claim by counterexample

Writing a complete proof with quantified assumptions and conclusion

Proof checkpoint: validity, reversibility and sufficiency

Polynomial long division by x − a

Polynomial division by ax + b

The remainder theorem for a linear divisor

The factor theorem and exact factor testing

Factorising a cubic polynomial completely

Connecting cubic factors, roots and graph intercepts

Representing data in matrices; order, equality and notation

Matrix addition, subtraction and scalar multiplication up to 3 × 3

Matrix multiplication up to 3 × 3 and conformability

Identity and zero matrices; non-commutativity of multiplication

Determinants and inverses of non-singular 2 × 2 matrices

Deriving transformation matrices from basis-vector images; reflections in x = 0, y = 0 and y = ±x; rotations and enlargements about the origin

Composition of transformation matrices: AB means B followed by A; basis-vector derivation and Mathematics B gap check

4MA1 algebra audit: number system, exactness, bounds and standard form

4MA1 algebra audit: manipulation, formulae and equations

4MA1 algebra audit: inequalities, functions and sequences

4MA1 algebra audit: non-geometric graphs and calculus

Cumulative 4MA1 Algebra assessment: 40-minute Higher section

Coverage-audit correction and final targeted re-teaching

Timed 4MA1 Higher section: exact number, bounds and proportion

Correction: number accuracy, calculator entry and reasonableness

Timed 4MA1 Higher section: equations, inequalities and functions

Correction: algebraic method marks, restrictions and checking

Mixed 4MA1 method selection across Algebra, P&S and Geometry

Contingency: unresolved prerequisite or specification gap

4MA1 paper navigation: command words, marks and time allocation

Timed section: exact number, bounds and standard form

Correction: exact form, calculator entry and final rounding

Timed section: quadratics, functions and calculus

Correction: algebraic method marks and verification

Cross-strand method selection before the first full mock

Targeted re-teaching: bounds, surds and exact calculator work

Targeted re-teaching: algebraic fractions and rearranging formulae

Targeted re-teaching: quadratic and simultaneous equations

Targeted re-teaching: functions, transformations and non-linear graphs

Targeted re-teaching: differentiation and kinematics

Independent recheck before the first full-paper cycle

4MA1 full mock cycle 1: Paper 1H, coordinated sitting (1 of 3)

4MA1 full mock cycle 1: Paper 1H, coordinated sitting (2 of 3)

4MA1 full mock cycle 1: Paper 1H, coordinated sitting (3 of 3)

Paper 1H analysis: error coding by specification statement

Paper 1H correction: Algebra and Number solutions

Paper 1H correction: cross-strand questions and recheck

4MA1 full mock cycle 1: Paper 2H, coordinated sitting (1 of 3)

4MA1 full mock cycle 1: Paper 2H, coordinated sitting (2 of 3)

4MA1 full mock cycle 1: Paper 2H, coordinated sitting (3 of 3)

Paper 2H analysis: error coding by specification statement

Paper 2H correction: Algebra and Number solutions

Paper 2H correction: cross-strand questions and recheck

Targeted re-teaching: percentage, ratio and financial number problems

Targeted re-teaching: quadratic inequalities and shaded regions

Targeted re-teaching: composite and inverse functions

Targeted re-teaching: arithmetic sequences and series

Targeted re-teaching: algebraic proof and counterexamples

Independent recheck of corrected questions from cycle 2

4MA1 full past-paper cycle 2: Paper 1H, coordinated sitting (1 of 3)

4MA1 full past-paper cycle 2: Paper 1H, coordinated sitting (2 of 3)

4MA1 full past-paper cycle 2: Paper 1H, coordinated sitting (3 of 3)

Paper 1H analysis: error coding by specification statement

Paper 1H correction: Algebra and Number solutions

Paper 1H correction: cross-strand questions and recheck

4MA1 full past-paper cycle 2: Paper 2H, coordinated sitting (1 of 3)

4MA1 full past-paper cycle 2: Paper 2H, coordinated sitting (2 of 3)

4MA1 full past-paper cycle 2: Paper 2H, coordinated sitting (3 of 3)

Paper 2H analysis: error coding by specification statement

Paper 2H correction: Algebra and Number solutions

Paper 2H correction: cross-strand questions and recheck

4MB1 full mock: Paper 1, coordinated sitting (1 of 3)

4MB1 full mock: Paper 1, coordinated sitting (2 of 3)

4MB1 full mock: Paper 1, coordinated sitting (3 of 3)

4MB1 Paper 1 analysis: error coding by specification statement

4MB1 Paper 1 correction and targeted re-teaching

Independent recheck before 4MB1 Paper 2

4MB1 full mock: Paper 2, coordinated sitting (1 of 4)

4MB1 full mock: Paper 2, coordinated sitting (2 of 4)

4MB1 full mock: Paper 2, coordinated sitting (3 of 4)

4MB1 full mock: Paper 2, coordinated sitting (4 of 4)

4MB1 Paper 2 analysis: long-form method and error coding

4MB1 Paper 2 correction, recheck and intervention priorities

Before 4MA1/2H: final Number intervention; afterwards: 4MB1 Number and Algebra audit

Before 4MA1/2H: final Algebra intervention; afterwards: 4MB1 functions and calculus audit

Before 4MA1/2H: cross-strand repair; afterwards: 4MB1 matrices audit

Before 4MA1/2H: final timed section; afterwards: 4MB1 Paper 1 timed section

Correction and independent recheck from the current examination gate

Readiness gate: personal timing, checking and intervention plan for the next paper

After 4MA1/2H only — 4MB1 Paper 1 whole-specification mixed practice

After 4MA1/2H only — 4MB1 Paper 1 feedback and targeted correction

After 4MA1/2H only — 4MB1 Paper 2 long-form problem planning

After 4MA1/2H only — timed 4MB1 Paper 2 long-form section

After 4MA1/2H only — 4MB1 Paper 2 correction and method refinement

4MB1 final readiness and disruption contingency

After 4MB1/02 only — AM–GM for two positive variables and the equality case

After 4MB1/02 only — AM–GM for several positive variables and product constraints

After 4MB1/02 only — Cauchy–Schwarz in a finite algebraic form

After 4MB1/02 only — Engel form of Cauchy–Schwarz with positive denominators

After 4MB1/02 only — Normalisation and combining AM–GM with Cauchy–Schwarz

After 4MB1/02 only — Choosing between AM–GM, Cauchy–Schwarz and direct factorisation

After 4MB1/02 only — Functional equations: special values and restrictions on inputs

After 4MB1/02 only — Functional equations: strategic substitutions and symmetry

After 4MB1/02 only — Functional equations: possible outputs and uniqueness arguments

After 4MB1/02 only — Functional equations: verification and a complete written proof

After 4MB1/02 only — AoPS written-solution portfolio: inequalities and functional equations

Entry diagnostic: IGCSE calculations, diagram reading and a 5–7-step proof

Theorem, converse, necessary and sufficient conditions. Finding counterexamples

Statement–reason proof format. Planning a chain from the goal back to the givens

Triangle congruence criteria as proof tools

Isosceles triangles: property, converse test and proof chains

Parallelism and quadrilaterals: proofs using angles and congruent triangles

Similarity criteria and proportionality: proof, not only calculation

Area methods: area ratios, common heights and common sides

Pythagoras' theorem and its converse in calculation and proof problems

The circle as a proof configuration: radii, chords, arcs and symmetry

Tangents, radii and equal tangents: short proofs

Checkpoint 1: Entry Proof Bridge

Assessment 2: Circles, Tangents and Incircles

Assessment 3: Math Vertical 8 §§11–14 and Circle Theorems

Mid-year assessment, Part 1: circle theorems and trigonometric calculations

Mid-year assessment, Part 2: proof and an unfamiliar configuration

Checkpoint 4: 3D Trigonometry and Mensuration

Checkpoint 5: Similarity and Ratios

Assessment 6: Ceva, Menelaus and Power of a Point

Checkpoint 7: Coordinate Geometry of the Circle

Year 10 cross-board geometry mock

Review of Checkpoint 1 and targeted correction of proofs

Review of Assessment 2 and repairing missing links in proofs

Review of Assessment 3 and correction

Review of the mid-year assessment and an individual gap map

Review of Assessment 6 and correction of method selection

Central angles, arcs and chords: equal objects and their relationships

Perpendicular from the centre to a chord: theorem and converse

Equal chords and distances from the centre: tests and proofs

A circle through three points. Perpendicular bisectors and the circumcentre

Proof workshop with chords, radii and auxiliary constructions

A tangent as a line perpendicular to a radius: theorem and test

Equal tangents from an external point: proof and applications

Mixed problems on tangents, chords and isosceles triangles

The incircle of a triangle: existence, uniqueness and construction

Angle bisectors and the incentre. Distance from a point to the sides of an angle

Tangential quadrilaterals: sums of opposite sides and converse problems

Area of a triangle using the inradius: S = rs

Excircles and signed configurations

The inscribed-angle theorem: statement, cases and proof

Consequences: angle in a semicircle and equal angles in the same segment

Cyclic quadrilaterals: opposite-angle property and converse test

The tangent–chord theorem

Multi-step problems on inscribed angles and cyclic quadrilaterals

Mixed proofs with a tangent, a chord and a cyclic quadrilateral

Complete Cambridge / Pearson circle-theorem map: choosing a theorem from a diagram

Sine, cosine and tangent as ratios in similar right-angled triangles

Trigonometric functions of angles of any magnitude: signs by quadrant

Exact values at 0°, 30°, 45°, 60° and 90°

Graphs of y = sin x, y = cos x and y = tan x on 0°–360°

Basic trigonometric equations on a stated interval

Deriving the sine rule and linking it to the circumcircle

The sine rule: finding sides and angles

The ambiguous SSA case: determining the number of possible triangles

Bearings and angles of elevation/depression using the sine rule

Multi-step sine-rule problems and model selection

Workshop: proof, calculation and checking the reasonableness of an answer

Deriving the cosine rule from Pythagoras' theorem

The cosine rule: finding the third side

The cosine rule: finding an angle and classifying a triangle

Area of a triangle from two sides and the included angle: 1/2 ab sin C

Pythagoras and trigonometry in 3D: diagonals of cuboids and prisms

Angle between a line and a plane: constructing the required right-angled triangle

Multi-step 3D problems on lengths and angles

Cones, spheres, pyramids and frustums: surface area and volume

Triangle similarity: criteria, homothety and rigorous proof writing

Length, area and volume ratios of similar shapes and solids

Advanced similarity configurations with parallel lines and angle bisectors

Similar triangles in circles and right-angled triangles

Synthesis of similarity, areas and trigonometry

Cevians and directed ratios. Statement of Ceva's theorem

Proof of Ceva's theorem using areas

Ceva's theorem: concurrency problems

Statement and proof of Menelaus' theorem

Menelaus' theorem: collinearity problems

Mixed problems: choosing Ceva, Menelaus, similarity or areas

Product of segments of intersecting chords

Product of secants from an external point

Tangent squared and a secant: the tangent–secant theorem

A unified formulation of the power of a point

Proofs of power-of-a-point formulae using similarity

Mixed calculation problems on chords, secants and tangents

Proof problems combining circles, similarity and power of a point

Distance, midpoint and division in a given ratio on the coordinate plane

Gradient and equation of a line. Parallel and perpendicular lines

Perpendicular bisectors and coordinate proofs

Equation of a circle: centre and radius

Line–circle intersection: two points, tangency or no intersection

Equation of a tangent to a circle without calculus

Intersection of two circles and the equation of their common chord

Combining analytic and synthetic methods in circle problems

Radian measure: converting between degrees and radians

Arc length s = rθ and sector area A = 1/2 r²θ

Compound shapes with arcs and sectors in degrees and radians

Accurate constructions, scale drawings and three-figure bearings

Transformations: combinations, centre of enlargement, fractional and negative scale factors

Integrated Cambridge / Pearson problem: circles, similarity, 3D and trigonometry

Proof marathon: circles, similarity, Ceva, Menelaus and power of a point

Non-calculator geometry: exact values and rigorous transformations

Final review and targeted gap repair

Final assessment, Part 1: calculations, circles, trigonometry and coordinates

Final assessment, Part 2: proof and an unfamiliar extension problem

Entry diagnostic: proof and mathematical writing

Entry diagnostic: counting, divisibility, invariants, graph foundations and finite procedures

Statements, definitions, set membership and quantifiers

Hypothesis and conclusion; converse; necessary and sufficient conditions

Examples, counterexamples and proof checking

Direct proof from definitions and divisibility lemmas

Proof by contradiction in parity and divisibility

Exhaustive case analysis, boundary cases and proof of completeness

Systematic counting: addition, multiplication, complement and overcounting

Permutations, combinations and restrictions

The pigeonhole principle

Extremal and minimal-counterexample reasoning

Parity, colouring and invariants

Monovariants in finite processes and proof of termination

Mixed method selection and complete written solutions

Bridge checkpoint 1: proof, counting and invariants; targeted correction

Divisibility, quotient–remainder form, GCD and the Euclidean algorithm

Back-substitution, Bézout coefficients and the linear-Diophantine solvability criterion

Parametrising integer solutions; congruence notation, addition and multiplication

Linear congruences, modular inverses and solution or no-solution cases

Full entry-bridge exit assessment: proof, counting, invariants and number theory

Entry-bridge feedback, targeted correction and differentiated route into the main course

Logical reformulation: negation, inverse and contrapositive of an implication

Proof by contrapositive in parity and divisibility

Potential functions: measuring progress in a finite process

Lexicographic monovariants: ordered pairs of measures

Combining an extremal choice with an invariant

Constructive finite processes: prove existence by giving an algorithm

Semi-invariants with a controlled set of possible changes

Finite-process synthesis: choose a state, invariant or monovariant and prove termination

First cumulative assessment: proof, counting, invariants and number theory

Assessment feedback and proof rewriting

Residue classes modulo m and modular inverses modulo composite m: existence if and only if gcd(a, m) = 1

Linear congruence ax ≡ b (mod m): solvable if and only if gcd(a, m) divides b

Counting and parametrising the gcd(a, m) solution classes of ax ≡ b (mod m), when gcd(a, m) divides b

Combining a linear congruence with divisibility and range conditions

Topic check 1: congruences and modular inverses

Topic-check feedback and proof correction

Why unrestricted cancellation fails modulo a composite modulus

Solving factored congruences without invalid cancellation

Constructing integers subject to congruence, divisibility and range conditions

Congruence proof clinic: complete arguments and counterexamples to invalid rules

Undirected graph foundations: degree sum, paths, connectivity and trees

In-degree and out-degree

Reachability and directed paths

Breadth-first search: reachability and shortest paths

Second cumulative review: method selection and mixed proof practice

Second cumulative assessment

Assessment feedback and solution rewriting

Targeted recheck after the second cumulative assessment

Ordinary induction: base case, hypothesis and a complete inductive step

Ordinary induction: independent proof and correction

Recursive definitions and initial conditions

Induction on a recurrence: guided variation and unfamiliar transfer

Fermat’s little theorem: statement, hypotheses and proof outline

Reducing large exponents modulo a prime: treat zero residues separately from Fermat’s little theorem

Residue cycles in powers and last-digit problems

Mixed modular-exponent problems; cancel only a unit modulo m (or reduce the modulus by the gcd)

Three-set inclusion–exclusion

Small derangements by inclusion–exclusion

Stars and bars for identical objects in distinct boxes: positive and non-negative cases

Constructing and checking bijective proofs: one guided variation and one unfamiliar application

Topic check 2: inclusion–exclusion, distributions and bijections

Topic-check feedback and solution rewriting

Final method review and proof planning

End-of-year internal paper 1 (40 minutes)

End-of-year internal paper 2 (40 minutes)

Assessment correction and transition review

Entry diagnostic: KS3 data, probability, Venn classification and interpretation

Data representations, averages and comparison of distributions

Population, sample and sampling frame; questionnaire bias and data-quality conclusions

Theoretical and experimental probability, complements and expected frequency

Entry-bridge exit check: KS3 data, sampling, probability and Venn classification; targeted correction

Set notation and algebraically defined sets: universal and empty sets, membership, subsets and n(A)

Union, intersection and complement; translating between words and symbols

Two-set Venn diagrams: regions, counts and missing values

Three-set Venn diagrams: complete region accounting

Mixed Higher problems on set notation, Venn diagrams and n(A)

Experimental probability, relative frequency and long-run interpretation

Theoretical probability and the probability scale

Systematic sample spaces for single and successive events

Comparing experimental and theoretical results; random variation and sample-size reliability

Mixed Handling Data 1 practice: experimental and theoretical probability and systematic sample spaces

Topic check: sets and Handling Data 1 probability

Topic-check analysis, targeted correction and independent recheck

Laws of probability: complements, mutually exclusive addition and expected frequency

Combined and independent events; multiplication rule

Tree diagrams with replacement

Tree diagrams without replacement

Conditional probability as a restricted sample space

Two-branch conditional tree diagrams

Conditional trees with more than two branches and reverse problems

Dependent-event workshop: unfamiliar conditional-probability problems

Probability and conditional probability using Venn diagrams

Choosing a representation: sample space, tree, two-way table or Venn diagram

Continuous grouped data, class boundaries and frequency density

Constructing histograms with unequal class widths

Interpreting histograms and recovering frequencies

Measures of spread and quartiles for a discrete data set; calculate the interquartile range

Cumulative-frequency tables and constructing cumulative-frequency diagrams

Estimate median, quartiles and IQR from cumulative frequency; compare distributions

Mixed Higher problems on histograms, quartiles, cumulative frequency and spread

Pictograms, two-way tables, bar, pie, line and stem-and-leaf diagrams: selection and interpretation

Mean, median, mode and range for discrete data; choosing an appropriate summary

Grouped frequency tables, estimated mean, modal class and the class containing the median

Mixed Higher problems on representation, averages and grouped data

Cumulative 4MA1 P&S assessment: sets, data, probability and Higher methods

Coverage-check analysis, specification audit and targeted re-teaching

4MA1 P&S specification checklist, formulae and notation audit before shared Algebra-hosted full mocks

Timed 4MA1 P&S section: set notation, events and probability language

Timed-section feedback: set regions, notation and complete probability accounting

Timed 4MA1 P&S section: histograms, cumulative frequency and comparison

Timed-section feedback: density, quartile scales and comparison statements

Shared mock cycle 1: combined P&S error analysis across Papers 1H and 2H

Targeted P&S re-teaching after shared mock cycle 1

Mixed timed 4MA1/4MB1 P&S section: selecting models across sets, data and probability

Mixed-section feedback: error classification, complete working and recheck

4MB1 P&S strategy: short questions, long-form applications and accuracy

4MB1 P&S error prevention: tree conditions, density, scales and interpretation

4MA1/4MB1 cumulative P&S analysis and question-level diagnosis

4MB1 full-mock preparation: P&S method selection and communication

Timed 4MB1 P&S section: data representation, measures and comparison

Timed 4MB1 P&S section: probability models and multi-step applications

4MB1 timed-section feedback and targeted re-teaching

4MB1 probability-section feedback, correction and independent recheck

P&S contingency: 4MA1 priority before 27 May; 4MB1 priority afterwards

P&S readiness gate: pacing, calculator use, notation and error prevention

Final P&S contingency and targeted correction before the next 4MB1 paper

Calendar gate: after 4MB1/02 explore geometric probability with uniform length and area models; otherwise complete Pearson probability correction

Calendar gate: after 4MB1/02 synthesise conditional, complementary and geometric models; otherwise complete a timed Pearson probability section and feedback

Calendar gate: after 4MB1/02 define a comparative question and audit available data; otherwise complete Pearson data-representation correction

Calendar gate: after 4MB1/02 review data collection and sampling limitations; otherwise complete Pearson sampling and bias correction

Calendar gate: after 4MB1/02 select and justify representations; otherwise complete a timed Pearson representation section

Calendar gate: after 4MB1/02 calculate summaries and compare groups; otherwise complete timed Pearson summary-statistics practice

Calendar gate: after 4MB1/02 evaluate reliability and draft a conclusion; otherwise correct Pearson interpretation questions

Calendar gate: after 4MB1/02 peer-review the report and record a Year 11 readiness profile; otherwise complete final Pearson readiness correction

Physical Quantities and Units

Base vs. Derived Quantities

Scalar vs. Vector Quantities

Multiples and Submultiples of a Unit

Unit Conversions

Vector Operations

Elements of Kinematics

Motion and Rest

Reference Frames

Distance and Displacement

Average Speed and Average Velocity

Uniform Motions in a Straight Line

Uniform Rectilinear Motions

Graphing Uniform Rectilinear Motions

Acceleration

Uniformly Accelerated Motion

Graphing Uniformly Accelerated Motions

Experimental Activity

Equations of Uniformly Accelerated Motions

Review of Kinematics

Newton’s Laws

Forces

Newtonian Mechanics

Hooke’s Law (experimental activity)

Review Newtonian Mechanics

Centre of Mass

Rotational Equilibrium

Moment of Force (Torque)

States of Matter

Pressure

Buoyancy

Work and Energy

The Work-Energy Theorem

Conservation of Energy

Power

Energy Transfers

Efficiency

Review Work, Energy and Power

Linear Momentum

Impulse-Momentum Theorem

Conservation of Linear Momentum

Collisions

Review Momentum and Collisions

Electrostatic Interaction

Electric Charge

Coulomb’s Law

Coulomb’s Law (Practice)

Conductors and Insulators

Electric Currents

Ohm’s Law

Current and Voltage

Resistance and Resistivity

Electric Circuits

Power Supplies

Energy and Power of Electric Currents

Series and Parallel Circuits

Review Electrostatics and Electric Circuits

Review/Exam Preparation

Review Mechanics and Electricity

Induction: lab safety, equipment and basic practical skills

States of matter

Elements, compounds and mixtures

Atomic structure

The Periodic Table

Chemical formulae, equations and calculations

Consolidation

Assessment/Feedback – Topic 1

Buffer/consolidation week – revisit calculations & formulae skills before starting Topic 2

Reactivity series

Extraction and uses of metals

Acids, bases and titrations

Acids, bases and salt preparations

Consolidation

Assessment/Feedback – Topic 2

PROJECT – Metals & Sustainability (pt.1): research extraction methods, environmental/cost impact, recycling case studies

PROJECT – Metals & Sustainability (pt.2): analysis, presentation/debate

Energetics

Energetics consolidation & checkpoint

Introduction

Crude oil

Alkanes

Alkenes

Consolidation

Assessment/Feedback – Topic 4

PROJECT intro – Energy Investigations

PROJECT – Energy Investigations: design & test an exothermic/endothermic application, using calorimetry data

PROJECT – Crude Oil, Plastics & Sustainability: research/debate on fractional distillation, plastics lifecycle & alternatives

Revision & exam preparation – Unit 1

The characteristics of living organisms (1.1, 1.2)

Levels of organisation; structure of plant, animal, bacterial and fungal cells (2.1, 2.3, 2.4, 2.5B, 2.6B)

Core Practical: use of a light microscope; magnification and calculating actual size

Diffusion, osmosis and active transport defined and distinguished (2.11-2.14B)

Factors affecting movement; surface area to volume ratio and the need for exchange surfaces (2.15-2.17)

Core Practical: osmosis in plant tissue, with students preparing a serial dilution from a single stock

Aerobic and anaerobic respiration in plants and animals; word and symbol equations (2.34-2.37)

Core Practical: the evolution of carbon dioxide and heat from respiring seeds (2.39)

Features of the major groups, with named examples (1.2, 1.3)

Features of bacteria and viruses; pathogens and the diseases they cause (1.4)

Structure of the thorax; the mechanism of ventilation (2.46, 2.47)

Alveolar adaptations for gas exchange (2.48)

The effect of exercise on breathing rate and depth (2.49, 2.50)

Core Practical: investigating breathing and gas exchange

A balanced diet and the role of each component (2.24)

How energy requirements vary with age, sex and activity (2.25)

Elements present, and the structures of carbohydrate, protein and lipid (2.7-2.9)

Core Practical: food tests for starch, reducing sugars, protein and fat

Structure and function of the alimentary canal; peristalsis (2.26-2.29)

Digestive enzymes and the role of bile (2.30, 2.31)

The villus and its adaptations for absorption (2.32, 2.33B)

The double circulatory system; structure and function of the heart (2.59-2.62)

Heart dissection

Arteries, veins and capillaries compared (2.63B, 2.64B)

Blood components and their roles; the immune response (2.65-2.69)

Transport and the need for a circulatory system (2.51, 2.52)

Specification-led revision across Chapters 1 to 5

Full paper walkthrough; a three-leak diagnostic completed by every student

The nervous system and the reflex arc (2.80, 2.82)

Receptors and the detection of stimuli (2.87-2.89)

Structure and function of the eye (2.90-2.92)

Hormones, their sources and their roles (2.86, 2.94)

Adrenaline and the comparison of nervous and hormonal coordination (2.95B)

Homeostasis and negative feedback (2.81, 2.93)

Excretion in humans; temperature control and the role of the skin (2.70, 2.71)

Structure of the kidney and the nephron (2.72B-2.75B)

Formation of urine; osmoregulation and the role of ADH (2.76B-2.79B)

Sexual and asexual reproduction compared (3.1, 3.2)

The male and female reproductive systems; gametes (3.8, 3.9)

Fertilisation, implantation and the placenta as an exchange surface (3.10B, 3.11)

Secondary sexual characteristics and the role of hormones (3.12, 3.13)

The equation for photosynthesis; limiting factors (2.18, 2.19)

Core Practical: leaf disc method for rate of photosynthesis

Leaf structure and its adaptations for photosynthesis (2.21, 2.22)

Nitrate and magnesium ions; deficiency symptoms interpreted from data (2.20)

Glasshouses and polythene tunnels; controlling temperature, light and carbon dioxide (2.23, 2.41B, 2.42B)

Fertilisers and their effect on yield (2.45B)

Specification-led revision across Chapters 1 to 10

Xylem and phloem, and the substances each transports (2.53, 2.54)

Root hairs, surface area and the uptake of water and minerals (2.15, 2.17)

Transpiration and the factors affecting its rate (2.55B-2.58B, 2.70)

Core Practical: transpiration measured by mass loss over an extended bench run

Tropisms: phototropism and gravitropism (2.83, 2.84)

The role of auxin in the growth response (2.85)

Asexual and sexual reproduction in plants (3.1, 3.3)

Flower structure; wind and insect pollination compared (3.4)

Fertilisation, seed and fruit formation (3.5)

Conditions required for germination; natural and artificial propagation (3.6, 3.7)

Population, community, habitat and ecosystem; abiotic and biotic factors (4.1, 4.2)

A permanent transect established in the school grounds and a full baseline data set collected

Quadrat and transect technique; estimating population size from the class data (4.3B, 4.4B)

Food chains, food webs and trophic levels (4.6, 4.7)

Pyramids of number, biomass and energy; why energy transfer is inefficient (4.8, 4.9)

The carbon cycle (4.10, 4.11B)

Timed section practice; every Core Practical recalled and drilled as an examination question

End of Year Examination

Full paper walkthrough; an individual divergence list built for every student

The Year 11 route map issued: Chapters 15 to 22, plus revision of Chapters 1 to 14

Understanding Algorithms

Creating Algorithms

Sorting and Searching Algorithms

Decomposition and Abstraction

Unit 1 Review – Problem Solving

Develop Code

Make Programs Easy to Read

Strings

Data Structures

Input/Output

Subprograms

Testing and Evaluation

Unit 2 Review / Programming Application

Binary

Data Representation

Data Storage and Compression

Encryption

Unit 3 Review – Data

Machines and Computational Models

Hardware

Logic

Software

Programming Languages

Unit 4 Review – Computers

Networks

Network Security

The Internet and the World Wide Web

Unit 5 Review – Communication and the Internet

Computing and the Environmental Impact of Technology

Privacy

Digital Inclusion

Computing and the Legal Impact of Technology

Computing and the Impact of Technology

Current and Emerging Trends in Computing

Exam Preparation – Paper 1: Principles of Computer Science

Exam Preparation – Paper 2: Application of Computational Thinking

Introduction

What is a Revolution? Why do societies experience revolutionary change?

Why Do People Rebel? Exploring inequality, political grievances and social change

The American Revolution: Why did the colonies challenge British rule?

The French Revolution: Why did France experience revolution?

Revolution & Radicalism: Why did the French Revolution become increasingly extreme?

The Haitian Revolution: How did enslaved people overthrow a colonial system?

Revolutionary Ideas: How did ideas about liberty, equality and rights influence revolutions?

Was Revolution Worth It? Comparing revolutionary outcomes

Global Inequality: Why are some countries wealthier and more developed than others?

Measuring Development: How can we compare quality of life?

Population & Migration: Why are people moving around the world?

Globalisation: How are countries and economies connected?

Cities & Urbanisation: Why are cities growing so quickly?

Development & Sustainability: Can countries become richer without damaging the environment?

What Is Political Power? Who should have the authority to make decisions?

Hobbes: Why might people accept a powerful government?

Locke: What rights should individuals have?

Rousseau: Where should political power come from?

Freedom & Government: How much freedom should individuals have?

Political Ideas in Practice: Can revolutionary ideas actually change society?

Marx: Why does Marx believe society is divided by class?

Mill: How much freedom should individuals have?

Justice: What does a fair society look like?

Equality vs Freedom: Can a society maximise both?

What Makes an Action Right or Wrong? Introduction to ethical thinking

Aristotle: What does it mean to live a good life?

Utilitarianism: Should we choose the action that creates the greatest good

Industrial Revolution: How did industrialisation transform society?

Industrialisation & Inequality: Who benefited and who suffered?

Reform & Social Change: How did people respond to industrial society?

Climate Change: Why is climate change a global problem?

Resources & Energy: Who controls the world's resources?

Water & Food Security: Why do access and availability vary around the world?

The Future of Society: What should society look like in 2050?

Technology & Society: Should there be limits on technological progress?

Year 10 Humanities Review: Revolution, power, society and the future

Hablar de las vacaciones

Hablar de tus actividades de Verano

Hablar de los diferentes tipos de vacaciones

Hablar de lo que hiciste en las vacaciones

Describir dónde te alojaste

Reservar alojamiento y resolver problemas

Hablar de tus última vacaciones

Práctica para el examen: Escuchar y leer

Preparación y práctica para el examen: Escribir

Preparación y práctica para el examen: Hablar

Dar opiniones sobre las asignaturas

Describir el uniforme y el día escolar

Hablar de las asignaturas y los profesores

Describir tu colegio

Hablar de las reglas y problemas escolares

Hablar de los planes para un intercambio escolar

Hablar de las actividades y los éxitos

Conectar con la familia

Describir a la gente utilizando correctamente los adjetivos

Hablar de las redes sociales

Quedar con amigos

Hablar de las preferencias de lectura

Describir a la gente detalladamente

Hablar de los amigos y la familia

Hablar de la niñez

Práctica par el examen: Escuchar y leer

Preparación y práctica para el examen: Escribir

Preparación y práctica para el examen: Hablar

Hablar de las actividades de ocio

Hablar de los programas y las películas

Hablar de lo que hago normalmente

Hablar del deporte

Hablar de los temas del momento

Discutir las diversions y los espectáculos

Hablar de quién te inspira

Práctica par el examen: Escuchar y leer

Preparación y práctica para el examen: Escribir

Preparación y práctica para el examen: Hablar

Hablar de los lugares de la ciudad

Hablar de las tiendas

Describir una region

Hacer planes

Comprar ropa y regalos

Hablar de lo bueno y lo malo de una ciudad

Describir una visita del passado

Pedir ayuda e información

Práctica par el examen: Escuchar y leer

Preparación y práctica para el examen: Escribir

Preparación y práctica para el examen: Hablar

Proyecto de fin de curso con Topics A, B, C, D, y E

What Should We Learn in PSHE? – What PSHE is and the issues that become more relevant as we get older

Consequences of Crime – Legal, financial, educational and personal consequences of committing a crime

Choices & Consequences – How everyday decisions can have short- and long-term consequences

Peer Pressure & Influence – Why people make choices because of other people

Risk-Taking – Why people take risks and how to judge whether a risk is worth taking

Alcohol, Vaping & Drugs – Why people use substances, risks, addiction and social pressure

Staying Safe – Personal safety when out, travelling, socialising and becoming more independent

Making Good Decisions Under Pressure – How pressure, emotions and other people can influence decisions

Mental Health & Wellbeing – Mental health, wellbeing and looking after yourself

Stress & Pressure – School pressure, expectations, stress and coping strategies

Resilience & Setbacks – Failure, disappointment, criticism and bouncing back

Self-Esteem & Confidence – Self-image, confidence and comparison with others

Social Media & Mental Health – Comparison, validation, pressure and digital habits

Supporting Someone Else – Recognising when someone may need help and how to respond

Healthy Relationships – Trust, respect, communication and equality

Money & Financial Independence – Earning, spending, saving and managing money

Credit, Debt & Borrowing – Loans, credit cards, interest and responsible borrowing

Banking & Financial Safety – Bank accounts, cards, fraud, scams and protecting financial information

Contracts & Consumer Rights – What contracts are, what you agree to and what happens when things go wrong

Employment & Pay – Wages, payslips, tax, working hours and employee responsibilities

Financial Decisions & Priorities – Balancing wants, needs, saving and future goals

Online Reputation & Digital Footprints – How online actions can affect future opportunities

Careers & Future Choices – Career pathways, qualifications, interests and skills

Employability Skills – Communication, teamwork, reliability, initiative and problem solving

CVs & Applications – Presenting skills, experience and achievements

CV – Presentation

The World of Work – Workplace expectations, professionalism and workplace behaviour

Independent Living – Cooking, cleaning, appointments, time management and everyday responsibilities

Living Away From Home – Rent, bills, food, transport and managing responsibilities

Leadership & Responsibility – What makes someone a good leader, taking responsibility, accountability and making decisions that affect others

Communication Skills – Listening, explaining ideas, disagreeing respectfully and communicating effectively in different situations

Managing Conflict – Why conflicts escalate, how to de-escalate situations and finding constructive solutions

Personal Values & Future Decisions – Identifying personal values and using them to guide important decisions

Problem Solving & Decision Making

Year 10 Life Skills Assessment – Students respond to realistic financial, legal, social and personal situations

Looking Ahead to Year 11

Back to school activities to recap learning in Year 10

Language Assignment 1: First Draft Assembly (Anthology Part 2 Analysis) – Integrate text analysis and advanced structural vocabulary into a complete 600-word initial analytical draft.

Language Assignment 1: Peer Feedback & Diagnostic Refinement – Critique the structural flow of evidence and upgrade paragraph tiering based on teacher feedback parameters.

DEADLINE: Language Coursework Assignment 1 Final Polish – Verify the accuracy of all technical punctuation boundaries and submit the completed, polished final copy of Assignment 1.

Shakespeare Context Foundations & Historical Frameworks – Outline the Jacobean worldview, the Gunpowder Plot, the Divine Right of Kings, and daemonology.

Macbeth Act 1 (The Witches & Early Ambition) – Explain how the opening scene establishes the subversion of natural order ("Fair is foul...").

Macbeth Act 1: Lady Macbeth & The Unsexing Ritual – Explain how Lady Macbeth manipulates Macbeth’s concepts of masculinity to hijack his moral compass.

Macbeth Act 2: Regicide & The Dagger Hallucination – Deconstruct Macbeth’s soliloquy as a theatrical representation of psychological guilt and cognitive break.

Macbeth Act 2: Cosmic Reaction & Madness Signs – Track how the physical universe reacts symbolically to Duncan's murder across scene descriptions.

Macbeth Act 3: Banquo’s Ghost & Tyranny Shifts – Analyse the shifting power dynamic between Macbeth and his wife during the banquet scene breakdown.

Macbeth Act 4: The Apparitions & Equivocation – Pinpoint how Macbeth is fooled by the witches' half-truths and double meanings.

Macbeth Act 4: Macduff’s Loss & True Sovereignty – Contrast Macbeth's destructive tyranny with Malcolm's definition of true, lawful kingship.

Macbeth Act 5: Sleepwalking & Fragmented Prose – Explain how Lady Macbeth's fragmented prose shifts show a broken psyche under guilt pressure.

Macbeth Act 5: Nihilism & The Fall – Evaluate Macbeth’s nihilistic outlook on life during his final monologue ("Tomorrow, and tomorrow...").

Language Assignment 2: Imaginative Writing Concept Conception – Brainstorm complex narrative arcs and select a specific creative writing prompt or image springboard.

Language Assignment 2: World-Building & Stylistic Echoes – Deploy deliberate motifs, complex syntax structures, and extended imagery patterns to draft the first half of a short story.

Language Assignment 2: Narrative Pacing & Climax Build – Construct a structurally satisfying resolution or cliffhanger that wraps up the complete narrative blueprint.

Language Assignment 2: Tonal Check & Mechanics Polish – Isolate and eliminate structural inconsistencies or weak verbs to elevate descriptive text metrics.

DEADLINE: Language Coursework Assignment 2 Final Submission – Format word count parameters and securely lock away the second half of the Language Coursework portfolio.

LITERATURE COURSEWORK WORKSHOP: Macbeth Argument Outlining (Assignment 2) – Design a focused, multi-tiered essay structure breaking down ambition, tyranny, or gender subversion motifs in Macbeth.

Literature Assignment 2: Deep Draft Generation – Draft the core analytical body paragraphs of the Macbeth essay, integrating Jacobean historical context markers.

Literature Assignment 2: Structural Flow Re-Balancing – Assess and adjust paragraph lengths to maximise vocabulary density and analytical precision.

DEADLINE: Literature Coursework Assignment 2 Final Hand-In – Execute final proofreading sweeps and submit the completed Macbeth assignment, concluding the Component 3 portfolio.

Paper 1 Section A Strategy Reset: Questions 1-3 – Re-engage with fast scan-and-capture reading techniques to secure full marks on short-form non-fiction text extractions.

Paper 1 Section A Strategy Reset: Question 4 Core Focus – Draft high-scoring language-and-structure body paragraphs targeting Anthology Part 1 materials.

Paper 1 Question 4 Comparative Speed Drill – Execute an analytical response using a 3-part comparison frame within 25 minutes.

Paper 1 Question 5 Transactional Writing Masterclass – Compare an unseen non-fiction piece with Anthology Part 1 under timed pressure.

Transactional Writing Speed Sprints: Speeches & Articles – Draft a 45-mark persuasive article within a strict 45-minute limit.

Transactional Writing Speed Sprints: Letters & Reports – Construct a complete formal response based on an informational prompt within 40 minutes.

Paper 1 Section A Final Structural Prep – Isolate and explain how a writer uses specific syntax arrangements to evoke reader sympathy.

Language Paper 1 Masterclass (ALL TEACHING COMPLETED) – Verify the complete memorization of layout prompts for all transactional text options.

High-Speed Rhetorical Framing Drill – Integrate dynamic combinations of hyperbole, statistics, and anecdotes inside opinion articles under a stopwatch.

Cross-Text Non-Fiction Ideologies – Synthesise how different global authors capture themes of adventure, trauma, and discovery across the anthology.

Writing Polish & Advanced Structural Checklists – Verify the presence of specific structural criteria (varied lengths, cyclic structures) across writing samples.

Paper 1 Section A Masterclass: An Inspector Calls Timed Re-Drills – Analyse how to translate pre-existing knowledge into targeted, high-speed, closed-book exam responses within 45 minutes.

Paper 1 Section B Strategy Review: Poetry Anthology Blends – Re-map the entire seen poetry grid to ensure rapid pairing execution when faced with an unseen exam prompt constraint.

Unseen Poetry Rapid Annotation Drills – Isolate structural turns, semantic fields, and thematic keys in unfamiliar poems in under 12 minutes.

Complete Literature Paper 1 Diagnostics (ALL TEACHING COMPLETED) – Deploy advanced analytical vocabulary (e.g., hamartia, bourgeoisie, anagnorisis) correctly inside rapid mock frameworks.

Mock Error Analysis & Targeted Diagnostics – Identify individual mark-loss trends from winter mocks and draft targeted structural corrections.

Final Paper 1 Section B Blueprint Polish – Deconstruct a full examiner mark scheme to self-assess mock performance records.

FINAL PRE-LEAVE SPRING MOCK EXAMS – Complete full-length iterations of Paper 1 to solidify predicted grades.

Spring Mock Feedback & Active Recall Blasts – Summarise the core arguments and tone shifts for all 10 non-fiction anthology pieces in under 3 minutes per text.

Walking-Talking Exam Trials (Last Week In-Class) – Apply real-time pacing adjustments as an exam paper is broken down section by section under a stopwatch.

Entry diagnostic: surds, indices, algebraic fractions and exact form

Entry diagnostic: equations, inequalities, quadratics and simultaneous equations

Entry diagnostic: functions, graphs, sequences and algebraic proof

Diagnostic analysis, British–Spanish notation alignment and individual priority plan

Index laws and exact surd simplification

Conjugates and rationalising compound surd denominators

Algebraic fractions, excluded values and reversible simplification

Completing the square, discriminants and quadratic readiness

Simultaneous equations, inequalities and substitution

Functions, domain and range

Composition, inverse functions and graph notation

Algebraic proof and solution checking

Entry-bridge exit assessment, correction and differentiated route

The exponential function and its inverse

Domain, range and key points of exponential and logarithmic graphs

Solving exponential and logarithmic equations graphically

Logarithms as inverse indices

The product, quotient and power laws of logarithms

Change of base and calculator evaluation of logarithms

Solving exponential equations exactly and numerically

Solving logarithmic equations with domain checks

Discriminant conditions with a parameter

Roots and coefficients: Vieta’s formulae

Constructing a quadratic equation from prescribed roots

Roots obtained by translation, scaling and reciprocal transformation

Equations whose roots are α + k and β + k

Equations whose roots are kα, kβ or 1/α, 1/β

Parameter ranges for two, one or no real roots

Quadratic-function problems linking roots, range and graph

FPM Chapter 2 checkpoint and targeted correction

Linear–quadratic simultaneous equations at FPM depth

Equations reducible to a quadratic by substitution

Quadratic inequalities by factorisation and sign analysis

Quadratic inequalities with repeated or irrational critical values

Simultaneous inequalities and intersection of solution sets

Inequality problems with a parameter

Graphical representation of simultaneous linear inequalities

Simple linear programming: feasible region and objective function

The factor theorem with a parameter

The remainder theorem for ax + b

Factorising cubic polynomials and finding all roots

Polynomial identities by comparing coefficients

Proving a polynomial identity and stating its domain of validity

FPM Chapters 1–3 cumulative assessment

Chapters 1–3 error analysis and targeted correction

Sketching cubic polynomials from factors and multiplicities

End behaviour and sign changes of polynomial graphs

Repeated roots and tangency to the x-axis

Polynomial sketches with a parameter

Using a polynomial graph to solve an equation or inequality

Rational functions with linear factors in the denominator

Vertical and horizontal asymptotes

Sketching rational functions from intercepts and asymptotes

Exponential and logarithmic graphs on common axes

Graphical solution of transcendental equations

The nth term of an arithmetic sequence from non-consecutive data

Deriving the sum of an arithmetic series

Sigma notation for finite sums

Arithmetic-series equations for the number of terms

Arithmetic-series modelling and exact solutions

Geometric sequences: common ratio and nth term

Deriving the finite geometric-series formula

Finite geometric-series equations

Convergence and the sum to infinity for |r| < 1

Applications of convergent geometric series

Solving mixed arithmetic and geometric series problems

Recurring decimals interpreted as infinite geometric series

Series models with percentage growth and decay

FPM Chapter 5 checkpoint: arithmetic and geometric series

Chapter 5 error analysis and targeted correction

Binomial coefficients and Pascal’s triangle

The general term in a binomial expansion

Expanding (a + bx)ⁿ for a positive integer n

Finding a specified coefficient or term

Using finite binomial expansions for approximation

Binomial series for a rational index

Validity condition |x| < 1

Rewriting an expression into binomial-series form

Approximating numerical values with an error-aware truncation

FPM Chapter 6 checkpoint and targeted correction

Derivative as a rate of change and gradient function

Differentiating sums of positive, zero and negative powers

Differentiating e^(ax)

Radian-measure and trigonometric-graph readiness check; differentiating sin(ax) and cos(ax)

The chain rule for a linear inner function

The chain rule for composite algebraic functions

The product rule

The quotient rule

Selecting and combining differentiation rules

Equations of tangents and normals

Stationary points: justifying maxima and minima

Optimisation with an algebraic constraint

Rates of change through a chain of variables

Connected rates of change with explicit units and signs

Small increments: dy ≈ (dy/dx) dx and error interpretation

Antiderivatives and the constant of integration

Integrating xⁿ for n ≠ −1

Integrating e^(ax), sin(ax) and cos(ax) after radian-measure readiness is confirmed

Finding constants from initial or boundary conditions

Definite integrals, signed area and area between a curve and the x-axis

Linear kinematics from acceleration to velocity and displacement

Using initial conditions and interpreting displacement

Area between a curve and the y-axis, integrating with respect to y

Area between a curve and a straight line

Volumes of revolution about the x- or y-axis

Timed FPM section: logarithms, quadratics and inequalities

Correction: exact form, domain restrictions and proof of equivalence

Timed FPM section: graphs, sequences and binomial series

Correction: graph features, series notation and validity conditions

Timed FPM section: differentiation, integration and rates

Correction: calculus method marks, constants and interpretation

Coverage audit: FPM algebra-owned Units 1–3

Coverage audit: FPM algebra-owned Units 4–6

Coverage audit: FPM algebra-owned Unit 9

Final prerequisite-gap repair before full-paper phase

4PM1 full mock 1: Paper 1, coordinated sitting (1 of 3)

4PM1 full mock 1: Paper 1, coordinated sitting (2 of 3)

4PM1 full mock 1: Paper 1, coordinated sitting (3 of 3)

Paper 1 analysis: error coding by FPM unit and AO

Paper 1 correction: complete written solutions and independent recheck

4PM1 full mock 1: Paper 2, coordinated sitting (1 of 3)

4PM1 full mock 1: Paper 2, coordinated sitting (2 of 3)

4PM1 full mock 1: Paper 2, coordinated sitting (3 of 3)

Paper 2 analysis: error coding by FPM unit and AO

Paper 2 correction: complete written solutions and independent recheck

Targeted re-teaching: logarithms, exact form and domain

Targeted re-teaching: inequalities, identities and polynomial theorems

Targeted re-teaching: polynomial and rational graph sketches

Targeted re-teaching: arithmetic, geometric and binomial series

Targeted re-teaching: calculus rules, areas and rates

4PM1 full past-paper cycle 2: Paper 1, coordinated sitting (1 of 3)

4PM1 full past-paper cycle 2: Paper 1, coordinated sitting (2 of 3)

4PM1 full past-paper cycle 2: Paper 1, coordinated sitting (3 of 3)

Paper 1 analysis: error coding by FPM unit and AO

Paper 1 correction: complete written solutions and independent recheck

4PM1 full past-paper cycle 2: Paper 2, coordinated sitting (1 of 3)

4PM1 full past-paper cycle 2: Paper 2, coordinated sitting (2 of 3)

4PM1 full past-paper cycle 2: Paper 2, coordinated sitting (3 of 3)

Paper 2 analysis: error coding by FPM unit and AO

Paper 2 correction: complete written solutions and independent recheck

Written-solution workshop: show questions and exact conclusions

Error clinic: sign, bracket and coefficient errors

Error clinic: invalid cancellation, domains and extraneous roots

Error clinic: constants of integration, limits and units

Independent recheck of all corrected cycle-2 questions

Pre-Paper 1 whole-specification timed section: algebra, series, graphs and calculus

Pre-Paper 1 whole-specification timed section: vectors, coordinates, trigonometry and synthesis

Whole-specification correction: exact form, domain, notation and complete written solutions

Pre-Paper 1 method-selection clinic across the whole specification

Protected pre-Paper 1 contingency and individual readiness sign-off

After Paper 1 — whole-specification Paper 2 timed section: algebra, graphs and inequalities

After Paper 1 — whole-specification Paper 2 timed section: sequences, binomial series and proof

After Paper 1 — whole-specification Paper 2 timed section: geometry, trigonometry and calculus

Remaining Paper 2 correction: validity conditions, constants, limits and units

Targeted whole-specification re-teaching from Paper 1 evidence

Final Paper 2 timed section: algebra, graphs and inequalities

Final Paper 2 timed section: sequences, binomial series and proof

Final Paper 2 timed section: calculus and cross-topic synthesis

Final timed-section analysis: error coding by unit and assessment objective

Final timed-section correction: complete solutions and independent recheck

Final Paper 2 retrieval: logarithms, quadratics and polynomial methods

Final Paper 2 retrieval: graphs, sequences and binomial series

Final Paper 2 retrieval: differentiation, integration and modelling

Final targeted intervention from the latest full-paper evidence

Protected Paper 2 contingency: timing, exact form and checking plan

After 4PM1/02 only — transition diagnostic: algebraic fluency for International A Level Mathematics

After 4PM1/02 only — functions and graph transformations: notation and explanation

After 4PM1/02 only — polynomial and rational expressions: manipulation and domain

After 4PM1/02 only — sequences and series: notation, recurrence and proof

After 4PM1/02 only — calculus bridge: derivative and antiderivative

Entry diagnostic: IGCSE Higher / Extended, proof and a method-selection problem

Language of proof: given–prove, direct and converse statements, counterexample

Triangle congruence and isosceles triangles as a proof engine

Parallel lines and angle facts: a compressed review through proof

Parallelograms, special quadrilaterals and trapezia: properties and tests

Mid-segments and the intercept theorem: proportional segments and constructions

Similarity criteria and proving proportionality

Area methods and Pythagoras: key Math Vertical 8 configurations

Circle-theorem map: chords, tangents, inscribed angles and cyclic quadrilaterals

Trigonometry, sine and cosine rules, and area 1/2 ab sin C

Ceva's and Menelaus' theorems: concurrency and collinearity

Power of a point: chords, secants and tangents

Mixed proof: choosing congruence, similarity, areas or power of a point

Auxiliary construction and working backwards in a challenging problem

Mixed non-calculator workshop: exact values and proofs

Checkpoint 1: Compressed Math Vertical Entry Bridge

Entry checkpoint: 3D, mensuration, bearings and trigonometry

Assessment 2: Vectors, Bases and Dot Product

Assessment 3: Coordinate Methods and the Circle

Mid-year assessment, Part 1: vectors, coordinates and circular measure

Mid-year assessment, Part 2: proof and method selection

Assessment 4: Plane Isometries

Assessment 5: Additional / Further Trigonometry

Final proof portfolio and an unfamiliar olympiad-style configuration

Review of Checkpoint 1 and an individual correction plan

Review of Assessment 2 and correction of vector notation

Review of Assessment 3 and comparison of alternative solutions

Review of the mid-year assessment and individual correction

Review of Assessment 4 and correction

Vectors as directed segments: equality, addition, subtraction and scalar multiplication

Radius vectors and position vectors of points

Midpoint and division of a segment in a given ratio

Vector proofs of parallelism and collinearity

Vector problems on ratios and concurrency

Magnitude and unit vectors

Resolving a vector in two non-collinear vectors. The idea of a basis

Uniqueness of coordinates in a basis and equality of coefficients

Dot product: definition and geometric meaning

Dot product and the angle between vectors

Perpendicularity and vector length using the dot product

Vector proofs of properties of triangles and quadrilaterals

i, j components; resolving forces and velocities

Mixed Cambridge / Pearson vector-geometry problems

Distance, midpoint and section formula in coordinates

Gradient and equations of a line in different forms

Parallel and perpendicular lines

Equation of a perpendicular bisector

Coordinate proofs for triangles and quadrilaterals

Equation of a circle: completing the square, centre and radius

Line–circle intersection. Condition for tangency

Intersection of two circles and their common chord

Combining coordinate, vector and synthetic methods

Regular polygons: central, interior and exterior angles

Constructing regular polygons and decomposing them into isosceles triangles

Inradius and circumradius; perimeter and area

Circumference, area, arcs and sectors in degrees

Radian measure and conversion between degrees and radians

Formulae s = rθ and A = 1/2 r²θ

Compound shapes involving arcs, sectors and segments

Plane isometries: definition, invariants and preservation of distance

Compositions of isometries and identifying a transformation from its image

Isometries as tools for proving geometric theorems

Translation in vector and coordinate form

Translation as an isometry: properties and proofs

Compositions of translations and applications to geometric proof

Rotation: centre, angle and construction of an image

Compositions of rotations and symmetries of regular figures

Point symmetry as a 180° rotation

Reflection: properties, fixed points and constructing the mirror line

Reflections in coordinate lines x = a, y = b and y = ±x

Compositions of reflections: translation and rotation

Symmetry groups of regular polygons

Enlargement as a similarity transformation: centre and scale factor

Combined transformations; fractional and negative enlargement factors

Exact trigonometric values and graphs in degrees and radians

The six trigonometric functions: sec, cosec and cot

Fundamental identities and proving trigonometric relationships

Trigonometric equations on a stated interval

Addition formulae for sin(A ± B), cos(A ± B) and tan(A ± B)

Mixed problems on identities, equations and exact values

Sine and cosine rules, the ambiguous case and area of a triangle

3D trigonometry: angles between a line and a plane and between two planes

Ruler-and-compass constructions: bisectors, perpendicular bisectors and loci

Scale drawings, three-figure bearings and angles of elevation/depression

Plans, elevations, nets, cross-sections, axes and planes of symmetry

Compound plane shapes: circles, sectors, segments and truncated regions

Compound solids: prisms, cylinders, cones, spheres, pyramids and frustums

Similar solids, unit conversion, bounds and evaluating an answer

Circle-theorem synthesis: inscribed angles, tangents and cyclic quadrilaterals

Power of a point, radical axis and coordinate circles

An unfamiliar proof problem: analysis, conjecture, proof and reflection

Vector proofs of ratios, collinearity and concurrency

Coordinate loci, perpendicular bisectors and circles

One problem, three methods: synthetic, vector and coordinate

Cambridge 0580 Extended: complete non-calculator geometry set

Pearson Edexcel 4MA1 Higher: complete geometry set

Cambridge 0606 Additional: coordinates, circular measure, vectors and trigonometry

Pearson Edexcel 4PM1 Further Pure: vectors, coordinates and trigonometry

Cross-board synthesis: identifying the topic and choosing the strongest method

Final review: map of the complete Math Vertical pathway and targeted gap repair

Final assessment, Part 1: Cambridge / Pearson Higher–Extended calculations

Final assessment, Part 2: Additional / Further proof and unfamiliar challenge

Entry diagnostic: proof, mathematical writing and notation

Entry diagnostic: counting, number theory, invariants, graphs, induction and algorithmic language

Statements, definitions, set membership and quantifiers

Implication, converse, inverse and negation; necessary and sufficient conditions

Examples, counterexamples and proof validation

Direct proof and proof by contrapositive

Proof by contradiction in parity and divisibility

Exhaustive case analysis, boundary cases and proof of completeness

Systematic counting: addition, multiplication, complement and overcounting

Permutations, combinations and restrictions

Bijections and double-counting arguments

The pigeonhole principle: sharpened bounds and extremal choice

Parity and colouring as invariant methods

Monovariants, state design and proof of termination

Ordinary induction: base case, hypothesis and complete inductive step

Bridge checkpoint 1: proof, counting, invariants and induction; targeted correction

Graph prerequisite retrieval: degrees, paths, connectivity, trees and directed language

The Euclidean algorithm and back-substitution

Bézout coefficients and the linear-Diophantine criterion

Congruence operations, valid cancellation and solution classes

Modular inverses and linear congruences: prerequisite exit check

Tree unique paths, leaf structure and induction on graph size

Full entry-bridge exit assessment: proof, counting, number theory and graph foundations

Entry-bridge feedback, targeted correction and differentiated route into the main course

Strong induction and selection of a sufficient hypothesis

Induction on recursively defined sequences and structures

Forming a recurrence from a combinatorial decomposition

Linear recurrences: initial conditions, iteration and verification

Fibonacci counting models and recurrence proofs

Advanced pigeonhole: residue classes and interval partitions

Topic check: induction, recurrences and advanced pigeonhole

Topic-check feedback and proof rewriting

Tournaments: definition, score sum and elementary degree constraints

Constructing and proving a Hamiltonian path in every tournament

Kings and extremal arguments in tournaments

Directed graphs and tournaments: mixed proof clinic and cumulative-assessment preparation

Coprime Chinese remainder theorem: construction and uniqueness modulo the product

Non-coprime Chinese remainder theorem: compatibility and solution classes

Chinese remainder theorem: mixed problems and preparation for the first cumulative assessment

First cumulative assessment

Assessment feedback and solution rewriting

Euler’s formula V − E + F = 2 for a connected plane graph: induction and the outer face

The bound E ≤ 3V − 6 for a simple connected planar graph with V ≥ 3

Euler trails in finite undirected graphs: connected non-isolated vertices and zero or two odd degrees

Sufficiency proof for the Euler-trail criterion

Topic check 2: graph induction, planarity and Eulerian trails

Topic-check feedback and proof correction

Multistage processes: combine a primary monovariant with a secondary tie-breaker

State compression and a complete termination proof using a lexicographic order

Complementary counting strategically

Inclusion–exclusion with structural restrictions

Restricted arrangements and symmetry

Bijections for non-obvious counting identities

Double-counting an identity

Pascal-type and hockey-stick identities by double counting

A combinatorial proof of the binomial theorem and comparison with the algebraic proof

Second cumulative review: method selection and mixed proof practice

Second cumulative review: targeted proof rehearsal and error diagnosis

Second cumulative assessment (40 minutes)

Assessment feedback, solution rewriting and targeted recheck

Mixed number-theory proof set: divisibility, congruences/CRT and Diophantine reasoning; one complete solution

Mixed combinatorics/graph proof set: bijection or double counting, extremal choice and graph structure; compare methods

Timed olympiad-style proof set (40 minutes)

Feedback on the timed olympiad-style set and proof portfolio revision

Final method review and proof planning

End-of-year internal paper 1 (40 minutes)

End-of-year internal paper 2 (40 minutes)

Assessment correction and transition review

Entry diagnostic: prior KS3 and Year 10 data, probability and interpretation

Data representations, averages and comparison statements

Histograms, cumulative frequency, quartiles and interquartile range

Sets, Venn diagrams, two-way tables and previously used event language

Tree diagrams, independence and conditional probability using Year 10 representations

Entry-bridge exit check, targeted correction and differentiated extension

Statistical enquiry cycle: formulate a question and testable hypothesis

Investigation constraints, ethics, confidentiality and proactive mitigation

Data types; explanatory and response variables; grouping and loss of information

Primary and secondary data: advantages, limitations, reliability, accuracy including rounding, access and acknowledgement of sources

Population, sample, sampling frame and context-dependent populations

Opportunity, judgement, cluster and quota sampling: purposes, limitations and bias

Simple random and systematic sampling: random selection, random start and periodicity

Stratified sampling by one or more categories; calculating stratum sizes

Reference and census data; questionnaires, interviews and observation: method choice, advantages and limitations, and data-collection-sheet design

Open, closed and leading questions; interview techniques; questionnaire pilots and experimental pre-tests; reliability, validity, sensitivity, bias and random response

Missing data, non-response, incomplete responses, anomalies and data cleaning

Laboratory, field and natural experiments; simulation, extraneous variables, controls and matched pairs

Estimating population mean and proportions from samples; sample size, reliability and replication

Petersen capture–recapture estimate and its assumptions

Selecting tally and two-way tables and familiar charts; appropriate keys; ordered stem-and-leaf and Venn representations

Population pyramids and choropleth maps: reading, comparing and avoiding count-percentage errors

Comparative pie charts: area-frequency reasoning and radius calculations; 2D and 3D comparisons

Multiple, composite and percentage-composite bar charts; vertical-line charts

Frequency polygons, cumulative-frequency charts and box plots: representation and comparison

Histogram audit: unequal widths, class boundaries and frequency density; axis and key labelling; truncated scales, density misuse, distorted sizing and 3-D displays

Technology, target audience and justified representation; converting between formats

Skewness by inspection and calculation; interpreting the shape in context

Statistical enquiry project: produce and justify comparative representations

Arithmetic, weighted and geometric means: calculation and interpretation

Grouped mean and median, linear interpolation and modal class

Adding or removing values and transforming data: effects on mean, median and mode

Selecting and comparing averages in context; matching the statistic to the distribution

Statistical enquiry project: calculate summaries, compare groups and state provisional findings

Topic check 1: enquiry, collection, representation and central tendency

Topic-check analysis, targeted correction and independent recheck

Quartiles, percentiles, interquartile, interpercentile and interdecile ranges

Standard deviation for an ungrouped data set: formula use and interpretation

Standard deviation for discrete frequency and grouped distributions

Outlier boundaries using 1.5IQR and μ ± 3σ; genuine values versus errors

Comparing sample and population distributions: range and percentile spreads; median with IQR, interpercentile or interdecile range; mean with standard deviation

Mixed Higher problems on spread, outliers, transformed data and comparison of distributions

Topic check 2 and correction: dispersion, outliers and comparison of distributions

Scatter diagrams: explanatory and response variables; positive, negative or zero association; strong or weak correlation; causation and spurious correlation

Double mean point and the regression line y = a + bx

Regression gradient and intercept; interpolation, extrapolation and model limits

Spearman’s rank correlation coefficient: calculation without tied ranks

Spearman’s rank: interpretation in context and limitations

Pearson’s product moment correlation coefficient: interpretation, not calculation

Spearman versus PMCC: rank association, linear correlation and non-linear cases

Mixed Higher correlation and regression problems in unfamiliar contexts

Moving averages and trend lines; selecting an appropriate period

Trend-line gradient and contextual interpretation

Seasonal and cyclic variation; recognising a suitable model

Mean seasonal variation and prediction

Time-series synthesis: prediction, extrapolation risk and evaluation

Relative frequency, likelihood and expected frequency; convergence towards theoretical probability when all variables are random; estimates from relative-frequency diagrams and tables

Absolute and relative risk, including expected frequencies for comparison groups; observed-versus-theoretical differences and possible design bias

Conditional use of two-way tables, sample spaces, trees and Venn models for up to three events; mutually exclusive and exhaustive events; restricted and general addition laws

Formal independence and conditional-probability notation, formulae and harder event models

Statistical enquiry project: conclusion, reliability, evaluation and comparison of observed and theoretical values for possible bias

Simple and chain-based index numbers: RPI, CPI and GDP

Weighted index numbers: calculation and interpretation using RPI, CPI and GDP contexts

Rates of change over time; crude and standardised rates

Mixed problems on indices, rates, prediction and contextual limitations

Binomial distribution: conditions, B(n, p), mean np and probabilities for n ≤ 10

Binomial distribution guided practice: model choice, B(n, p), mean np and probabilities for n ≤ 10

Normal distribution: N(μ, σ²), symmetric bell shape, mean = median = mode, suitability and the 68–95–three-sigma rules

Standardised scores: calculation, contextual comparison and relation to a normal model

Quality assurance: sample means versus individual values

Control charts for sample mean, median or range: warning and action lines at ±2σ and ±3σ; one in 20 values outside warning lines; required actions

1ST0 Higher specification, formulae and coverage audit before full mocks

1ST0 Higher full mock cycle 1: Paper 1H, coordinated sitting (timetable allocation 1 of 3)

1ST0 Higher full mock cycle 1: Paper 1H, coordinated sitting (timetable allocation 2 of 3)

1ST0 Higher full mock cycle 1: Paper 1H, coordinated sitting (timetable allocation 3 of 3)

1ST0 Higher full mock cycle 1: Paper 2H, coordinated sitting (timetable allocation 1 of 3)

1ST0 Higher full mock cycle 1: Paper 2H, coordinated sitting (timetable allocation 2 of 3)

1ST0 Higher full mock cycle 1: Paper 2H, coordinated sitting (timetable allocation 3 of 3)

1ST0 Higher full mock cycle 1: Paper 1H analysis, AO classification and targeted correction

1ST0 Higher full mock cycle 1: Paper 2H analysis, AO classification and targeted correction

Targeted synthesis after mock cycle 1: enquiry, representation, summary statistics and probability

AO2/AO3 clinic after mock cycle 2: unfamiliar contexts, extended conclusions and evaluation

1ST0 Higher full mock cycle 2: Paper 1H, coordinated sitting (timetable allocation 1 of 3)

1ST0 Higher full mock cycle 2: Paper 1H, coordinated sitting (timetable allocation 2 of 3)

1ST0 Higher full mock cycle 2: Paper 1H, coordinated sitting (timetable allocation 3 of 3)

1ST0 Higher full mock cycle 2: Paper 2H, coordinated sitting (timetable allocation 1 of 3)

1ST0 Higher full mock cycle 2: Paper 2H, coordinated sitting (timetable allocation 2 of 3)

1ST0 Higher full mock cycle 2: Paper 2H, coordinated sitting (timetable allocation 3 of 3)

1ST0 Higher full mock cycle 2: Paper 1H analysis, AO classification and targeted correction

1ST0 Higher full mock cycle 2: Paper 2H analysis, AO classification and targeted correction

Pre-Paper 1 whole-specification timed section: enquiry, representation, probability and evaluation

Pre-Paper 1 whole-specification timed section: summaries, association, distributions and modelling

Whole-specification correction, pacing check and protected contingency

After Paper 1 — whole-specification Paper 2 timed section: data, probability and distributions

After Paper 1 — whole-specification Paper 2 timed section: association, time series and quality assurance

Remaining Paper 2 correction: terminology, calculator use and extended conclusions

Remaining Paper 2 whole-specification mixed section: interpretation, modelling and evaluation

Targeted whole-specification re-teaching from the latest full-paper evidence

Remaining Paper 2 readiness: whole-specification formulae, pacing and error prevention

After 1ST0/2H only — expected value in finite probability models

After 1ST0/2H only — linearity of expectation without an independence assumption

After 1ST0/2H only — transition review for International A Level Statistics

Induction: course structure (P1-P4), IAL exam format

Algebra

Quadratics

Equations & Inequalities

Graphs

Review Exercise 1 (Algebra, Quadratics, Equations & Inequalities, Graphs)

Straight Lines

Trigonometric Ratios

Radians

Calculus

Review Exercise 2 (Straight Lines, Trigonometric Ratios, Radians, Calculus)

Module exam practice — P1-style paper, timed conditions

P1 mock feedback and targeted correction

Algebraic Methods

Coordinate Geometry

Exp & Logs

Binomial

Review Exercise 1 (Algebraic Methods, Coordinate Geometry, Exp & Logs, Binomial)

Sequences & Series

Trigonometry

Calculus

Review Exercise 2 (Sequences & Series, Trigonometry, Calculus)

Module exam practice — P2-style paper, timed conditions

P2 mock feedback and targeted correction

Algebraic Methods

Functions & Graphs

Trigonometry

Review Exercise 1 (Algebraic Methods, Functions & Graphs, Trigonometry)

Exp & Logs

Calculus

Numerical Methods

Review Exercise 2 (Exp & Logs, Calculus, Numerical Methods)

Module exam practice — P3-style paper, timed conditions

P3 mock feedback and targeted correction

Proof

Partial Fractions

Parametric Equations

Binomial

Review Exercise 1 (Proof, Partial Fractions, Parametric Equations, Binomial)

Differentiation

Integration

Vectors

Review Exercise 2 (Differentiation, Integration, Vectors)

Module exam practice — P4-style paper, timed conditions

P4 mock feedback and targeted correction

Intro to the curriculum and the topics

Intro to projectiles

Revision on moments

Centre of mass (concepts, formulae)

Standard shapes

COM of combined laminas

COM of frameworks

COM of folded laminas

COM of missing parts in laminas

Chapter review

Past paper problems on chapter 3 COM

Revision of SUVAT and projectiles

Vertical and Horizontal decomposition of projectiles

angled projections

Chapter review

Past paper problems on Projectiles

Review integration and differentiation

Displacement to velocity to acceleration connection

Differentiate to obtain velocity from displacement and acceleration from Velocity

Integrate to obtain velocity from displacement and acceleration from Velocity

Integrate and differentiate vectors

Chapter review

Revision on Chapters 1, 2 and 3

Mock

Intro to work energy principle

Work done against friction

KE and PE and power

Chapter review, past paper problems

Momentum as a vector

Impact, Newton law of restitution

Linear momentum and KE loss

Successive impacts

Chapter review, past paper problems

Intro to rigid bodies and its forces

Statics of rigid bodies

Chapter review, past paper problems

Review on Chapters 4,5,6

General revision

KS3 statistics review

Chapter 1 and chapter 2 (self learned)

Standard deviation

Box plots

Skewness

Deciding which average to use

Comparing data sets

Making estimates

Scatter diagrams

Correlation

Causal relationships

Line of best fit

Interpolation

Extrapolation

Equation of line of best fit

Spearman rank correlation coefficient

Calculating Spearman rank correlation coefficient

Pearson product moment correlation

Chapters 1,2,3,4 review and mock

Line graphs

Time series

Trend lines

Variations in time series

Moving averages

Estimating seasonal variations and making predictions

Chapter 5 review

Past paper problems on chapters 1,2,3,4 and 5

Meaning of probability

Experimental probability

Using probability to asses risk

Sample space diagram

Venn diagrams (part 1)

Venn diagrams (part 2)

Mutually exclusive and exhaustive events

General addition law

Independent events

Tree diagrams

Conditional probabilities and its formula

Chapter 6 review and past paper problems

Review on previous topics

Index numbers

RPI

CPI and GDP

Chain Base index numbers

Rates of change

Chapter 7 review and past paper problems

Binomial distributions

Normal distributions

Standardised scores

Quality assurance and control charts

Chapter 8 review and past paper problems

General revision and past paper problems

Induction: course overview (Edexcel IGCSE Further Pure Mathematics, 4PM1), exam format, syllabus map

Surds: writing numbers exactly and simplifying

Rationalising the denominator

Factorising quadratics where the coefficient of x^2 is greater than 1

Completing the square

Solving quadratic equations by completing the square

Solving quadratic equations using the quadratic formula

The discriminant: nature of the roots

Roots alpha and beta: sum and product of roots

Forming new equations from alpha and beta

Review Exercise / Topic Check: Chapter 2

Simultaneous equations: one linear, one quadratic

Simultaneous equations: further practice (curves)

Solving linear inequalities (incl. combining two conditions)

Solving quadratic inequalities

Quadratic inequalities: further practice

Graphing linear inequalities in two variables

Graphing systems of inequalities; feasible regions

Introduction to linear programming

Linear programming: further problems

Dividing a polynomial by (x +/- p)

Dividing a polynomial by (ax +/- b)

The factor theorem

Factorising a polynomial using the factor theorem

The remainder theorem

Using the remainder theorem to find unknown coefficients

Review Exercise / Topic Check: Chapter 3

Sketching cubic curves y = (x+a)(x+b)(x+c)

Sketching cubic curves y = ax^3+bx^2+cx+d

Graphs of y = x^3 and translations

The reciprocal function y = k/x

Curves showing points of intersection

Using curves to determine the number of solutions

Applying transformations to curves

Combining transformations

Review Exercise / Topic Check: Chapter 4

Identifying an arithmetic sequence

Finding the nth term of an arithmetic sequence

Arithmetic series: the sum formula

Sigma notation

Arithmetic series: problem solving

Identifying a geometric sequence

Finding the nth term of a geometric sequence

Sum of a geometric series

Geometric series: problem solving

Sum to infinity of a convergent geometric series

Sum to infinity: problem solving

Sequences and series in context (finance, growth, decay)

Consolidation: mixed arithmetic & geometric problems

Review Exercise / Topic Check: Chapter 5

Pascal's triangle and binomial expansion

Binomial coefficients (nCr) and the binomial theorem

Expanding (1+x)^n

Finding a specific coefficient in an expansion

Range of validity for an expansion

Review Exercise / Topic Check: Chapter 6

Vector notation and vector diagrams

The triangle law for vector addition

Vector arithmetic and unit vectors

Parallel vectors

Position vectors

Dividing a line in a given ratio

Using vectors to prove points are collinear

Vectors in geometric figures (parallelograms, hexagons)

Cartesian components: i, j notation

Column vector notation; modulus of a vector

Vectors: mixed problem solving

Review Exercise / Topic Check: Chapter 7

Finding the gradient of a line

Finding the equation of a straight line

Parallel lines

Perpendicular lines

Distance between two points

Dividing a line segment in a given ratio

Coordinate geometry problem solving (quadrilaterals)

Review Exercise / Topic Check: Chapter 8

Measuring angles in radians

Converting between radians and degrees

Arc length using radians

Area of a sector using radians

Sector problems: perimeter and area

Exact trig ratios for 30, 45 and 60 degrees

Sine, cosine and tangent graphs; periodicity

Symmetry properties of trig graphs; exact values beyond 0-90

The sine rule

The cosine rule

Area of a triangle; the ambiguous case

Trigonometry in 3D: lengths

Trigonometry in 3D: angles between a line and a plane

Trigonometric identities (sin^2+cos^2=1, tan=sin/cos)

Addition (compound angle) formulae

Using identities to simplify expressions and prove results

Solving trigonometric equations

Solving trig equations in radians / given intervals

Using formulae to solve harder trig equations

Review Exercise / Topic Check: Chapter 11

Exponential functions and their graphs (a^x, e^x)

Growth and decay; using graphs to solve exponential equations

Logarithmic functions and their graphs

Laws of logarithms

Change of base

Solving equations of the form a^x = b

Log equations combining laws and quadratics (equations reducing to a quadratic)

Review Exercise / Topic Check: Exponentials & Logarithms

The gradient function; differentiating x^n

Differentiating expressions with multiple powers of x

Finding gradients at a point; solving for x

The chain rule

Chain rule: further practice

Differentiating e^(ax)

Differentiating sin(ax) and cos(ax)

The product rule

Product rule: further practice

The quotient rule

Quotient rule: further practice

Equation of a tangent to a curve

Equation of a normal to a curve

Stationary points: maxima and minima

Using the second derivative to classify stationary points

Applying turning points to optimisation problems

Review Exercise / Topic Check: Chapter 9

Integration as the reverse of differentiation

Integrating standard functions (e^ax, sin ax, cos ax)

Finding a function given its derivative and a point

Kinematics: displacement, velocity and acceleration

Kinematics: further problems

Using integration to find areas under a curve

Areas below the x-axis

Areas between a curve and the x-axis: mixed regions

Area between a line and a curve

Volume of revolution about the x-axis

Volume of revolution: further practice (incl. trig curves)

Connected rates of change

Connected rates of change: further practice

Small changes and approximations

Review Exercise / Topic Check: Chapter 10

Diagnostic: algebra, trigonometry, units and standard form

Diagnostic: graphs, gradients, areas and proportionality

Diagnostic practical: planning, measurement and uncertainty

Review: motion equations and graphs

Review: forces and Newton's laws

Review: momentum, moments and pressure

Review: work, energy and power

Review: particle model and thermal physics

Review: waves, sound and optics

Review: electricity and circuit analysis

Review: magnetism, induction and transformers

Review: nuclear and space physics

Bridge problems: mechanics

Bridge problems: thermal physics

Bridge problems: waves and optics

Bridge problems: electricity and magnetism

Bridge problems: nuclear and space physics

Returning-student extension: non-routine mechanics

Returning-student extension: fields and circuits

Returning-student extension: experimental design

Practical bridge: mechanics and data logging

Practical bridge: thermal investigation

Practical bridge: waves or optics

Practical bridge: electrical measurement

Timed IGCSE paper section 1

Timed IGCSE paper section 2

Alternative-to-practical paper

Comprehensive bridge mock

Mock analysis and targeted remediation

Individual post-IGCSE pathway plan

Dimensions, units and consistency checks

Orders of magnitude and Fermi estimates

Vector components and unit vectors

Graphical differentiation and integration

Trigonometry in physical models

Uncertainty propagation: sums and products

Linearisation of relationships

Logarithmic plots: introduction

Experimental design at advanced level

Assessment: mathematical and experimental tools

Position, displacement and vector notation

Instantaneous velocity from a gradient

Instantaneous acceleration from a gradient

Displacement from velocity-time graphs

Deriving constant-acceleration equations

Multi-stage one-dimensional motion

Vertical motion under gravity

Projectile motion: horizontal launch

Projectile motion: angled launch

Projectile range and maximum height

Practical: projectile motion with video analysis

Relative velocity in one dimension

Relative velocity in two dimensions

Closest-approach problems

River, aircraft and wind problems

Angular displacement and angular velocity

Uniform circular motion

Centripetal acceleration

Non-uniform circular motion: qualitative

Simple harmonic motion: kinematic definition

Displacement, velocity and acceleration in SHM

SHM graphs and phase

Problem solving: advanced kinematics

Extension: parametric motion

Assessment: advanced kinematics

Newton's laws in vector form

Equilibrium in two dimensions

Dynamics on inclined planes

Friction and limiting equilibrium

Connected-particle systems

Pulley and constraint problems

Circular dynamics

Gravitational and normal forces in vertical circles

Drag and terminal speed models

Momentum and impulse in vector form

Conservation of momentum in two dimensions

Elastic and inelastic collisions

Centre-of-mass motion

Work done by a variable force

Work-energy theorem

Conservative forces and potential energy

Power and force-velocity relationships

Practical: momentum or energy conservation

Integrated advanced-mechanics problems

Assessment: dynamics, momentum and energy

Newton's law of gravitation

Gravitational field strength

Gravitational potential

Potential-energy curves

Circular orbits

Orbital energy

Escape speed

Kepler's laws from Newtonian ideas

Problem solving: gravitation and orbits

Assessment: gravitation and fields

Microscopic model of an ideal gas

Amount of substance and molar quantities

The ideal-gas equation

Molecular kinetic energy and temperature

Root-mean-square speed: introduction

Internal energy of an ideal gas

Work done by a gas

First law of thermodynamics

Isothermal processes

Isobaric processes

Isochoric processes

Adiabatic processes

p-V diagrams

Heat capacities of gases

Thermodynamic cycles

Heat engines and efficiency

Refrigerators and coefficients of performance

Entropy: qualitative introduction

Problem solving: thermodynamic processes

Assessment: thermal physics and thermodynamics

Coulomb's law in vector form

Electric field strength

Superposition of electric fields

Electric potential

Potential-energy diagrams

Uniform electric fields

Motion of charged particles in electric fields

Capacitance and charge storage

Parallel-plate capacitors

Capacitors in series and parallel

Energy stored in a capacitor

Capacitor charging and discharging: qualitative

Current, drift velocity and charge carriers

Resistivity and temperature dependence

Electromotive force and internal resistance

Kirchhoff's laws

Potential-divider networks

Practical: resistivity or internal resistance

Problem solving: fields, circuits and capacitors

Assessment: electricity and capacitance

Magnetic flux density

Force on a current-carrying conductor

Force on a moving charge

Circular motion of charged particles

Velocity selectors: extension

Magnetic fields of wires and coils

Torque on a current loop

Electromagnetic induction

Magnetic flux and flux linkage

Faraday's law

Lenz's law and energy conservation

A.C. generators

Transformers and power transmission

Practical: electromagnetic induction

Assessment: magnetism and induction

Conditions for simple harmonic motion

Mass-spring oscillations

The simple pendulum

Energy in simple harmonic motion

Damping and resonance

Practical: period of an oscillator

Progressive-wave equations

Phase difference

Superposition and interference

Young's double-slit experiment

Diffraction and resolving power

Standing waves

Strings and air columns

Practical: measuring wavelength with interference

Refraction and optical path

Thin-lens equation

Multiple-lens systems: introduction

Polarisation

Problem solving: oscillations, waves and optics

Assessment: oscillations, waves and optics

Binding energy and mass defect

Binding energy per nucleon

Fission and fusion energetics

Exponential radioactive decay

Activity, decay constant and half-life

The photon model of electromagnetic radiation

Photoelectric effect: qualitative introduction

Wave-particle duality: introduction

Final synoptic problem-solving assessment

Final practical/data assessment and next-step plan

States of matter

Elements, compounds and mixtures

Atomic structure

The Periodic Table

Chemical formulae, equations and calculations

Consolidation

Topic 1 (Unit 2 re-assessment): d) The Periodic Table, e) Chemical formulae... (review)

Reactivity series

Extraction and uses of metals

Acids, bases and titrations

Acids, bases and salt preparations

Consolidation

Energetics

Introduction

Crude oil

Alkanes

Alkenes

Revision & consolidation (Unit 1 checkpoint)

Buffer/consolidation week – review Unit 1 as a whole before starting Unit 2 content

Ionic bonding

Covalent bonding

Metallic bonding

Electrolysis

Consolidation

Group 1 (alkali metals)

Group 7 (halogens)

Gases in the atmosphere

Chemical tests

Rates of reaction

Reversible reactions and equilibria

Alcohols

Carboxylic acids

Esters

Synthetic polymers

Revision & consolidation (Unit 2 checkpoint)

Revision & consolidation (Unit 2 checkpoint, continued)

Buffer/consolidation week – whole-specification review, address gaps identified in checkpoints

The full 4BI1 specification issued, with the one-year route map to the summer examinations

The characteristics of living organisms (1.1, 1.2)

Levels of organisation; plant, animal, bacterial and fungal cell structure (2.1, 2.3, 2.4, 2.5B, 2.6B)

Core Practical: use of a light microscope; magnification and calculating actual size

Diffusion, osmosis and active transport; surface area to volume ratio (2.11-2.17)

Aerobic and anaerobic respiration; word and symbol equations (2.34-2.37)

Core Practicals: osmosis in plant tissue; carbon dioxide and heat from respiring seeds (2.39)

Features of plants, animals, fungi and protoctists, with named examples (1.2, 1.3)

Features of bacteria and viruses; pathogens and the diseases they cause (1.4)

Structure of the thorax; the mechanism of ventilation (2.46, 2.47)

Alveolar adaptations; the effect of exercise on breathing (2.48-2.50)

Elements present, and the structures of carbohydrate, protein and lipid (2.7-2.9)

A balanced diet; how energy requirements vary with age, sex and activity (2.24, 2.25)

Core Practical: food tests for starch, reducing sugars, protein and fat

Structure and function of the alimentary canal; peristalsis (2.26-2.29)

Digestive enzymes and the role of bile (2.30, 2.31)

The villus and its adaptations for absorption (2.32, 2.33B)

The double circulatory system; heart structure and function (2.59-2.62)

Arteries, veins and capillaries; blood components and the immune response (2.63B-2.69)

Transport and the need for a circulatory system (2.51, 2.52); heart dissection

The nervous system and the reflex arc (2.80, 2.82)

Receptors and the detection of stimuli (2.87-2.89)

Structure and function of the eye (2.90-2.92)

Hormones, their sources and their roles (2.86, 2.94)

Adrenaline; nervous and hormonal coordination compared (2.95B)

Homeostasis and negative feedback (2.81, 2.93)

Excretion; temperature control and the role of the skin (2.70, 2.71)

The kidney and nephron; formation of urine; osmoregulation and ADH (2.72B-2.79B)

Sexual and asexual reproduction compared (3.1, 3.2)

The reproductive systems and gametes (3.8, 3.9)

Fertilisation, the placenta, secondary sexual characteristics (3.10B-3.13)

The equation for photosynthesis; limiting factors (2.18, 2.19)

Leaf structure and its adaptations for photosynthesis (2.21)

Core Practical: leaf disc method for rate of photosynthesis

Nitrate and magnesium ions; deficiency symptoms (2.20, 2.22)

Glasshouses, controlled conditions and fertilisers (2.23, 2.41B, 2.42B, 2.45B)

Specification-led revision across all content taught to this point

Full paper walkthrough; an individual divergence list built for each student

Xylem and phloem, and the substances each transports (2.53, 2.54)

Root hairs and uptake of water and minerals (2.15, 2.17)

Transpiration and the factors affecting its rate (2.55B-2.58B, 2.70)

Tropisms: phototropism and gravitropism (2.83, 2.84)

The role of auxin in the growth response (2.85)

Asexual and sexual reproduction in plants; flower structure (3.1, 3.3, 3.4)

Pollination, fertilisation and seed formation (3.5)

Germination and propagation (3.6, 3.7)

Population, community, habitat and ecosystem; abiotic and biotic factors (4.1, 4.2)

Sampling technique; a transect established and surveyed in the school grounds (4.3B, 4.4B)

Food chains and webs; pyramids and energy transfer; the carbon cycle (4.6-4.11B)

Pollution, eutrophication and the effect on water systems (4.13, 4.14)

Greenhouse gases, global warming and deforestation (4.12, 4.15-4.18B)

Food production, fish farming and world food supply (5.1-5.4, 5.9B)

DNA structure and the genome; protein synthesis in outline (3.14-3.18)

Genes, alleles and the source of variation (3.19, 3.32)

Mutation and its consequences (3.34-3.37B)

Mitosis and its role in growth and repair (3.28, 3.29)

Meiosis and the production of gametes; the two compared (3.30, 3.31, 3.33)

A complete past 4BI1 paper sat under full examination conditions, Papers 1 and 2

Statement-by-statement mock walkthrough; three-leak diagnostic; individual repair plans issued

Genotype, phenotype, Punnett squares and predicted ratios (3.19-3.24)

Codominance, sex determination and sex linkage (3.25-3.27)

Natural selection and the development of antibiotic resistance (3.38)

Evolution and the evidence for it (3.39)

Selective breeding in plants and animals, with the stages in order (5.10, 5.11)

Micropropagation and cloning; transgenic animals (5.17B-5.20B)

Yeast in bread-making; bacteria in yoghurt production (5.5, 5.6)

Industrial fermenters and the conditions they control (5.7, 5.8)

Core Practical: the effect of temperature on the rate of respiration of yeast

Every statement in Chapters 1 to 14 rated red, amber or green by the student against their own evidence

RAG rating completed for Chapters 15 to 22

Restriction enzymes, ligase and plasmids; insulin production (5.12-5.15)

Genetically modified crops and the arguments made about them (5.16, 5.20B)

A 60-mark probe paper built individually from every red and amber statement

Teaching directed only at the statements the audit and probe found weak

One individually tailored task per student, from their own divergence list

Every Core Practical recalled, evaluated and drilled as an examination question

Paper 1 and Paper 2 technique; time management; reading mark allocation correctly

The step from IGCSE to A-Level: biochemistry, statistics and independent practical work

Students select and research a biological question of their own choosing

Presentation to peers and staff, with peer questioning

Entry diagnostic: systems, data and written reasoning

Diagnostic feedback and prerequisite repair

Stored-program concept

von Neumann architecture

Internal components, buses and addressable memory

CPU components, registers and clock

Fetch–decode–execute cycle

Register transfers and control signals

Memory hierarchy

Serial and parallel transmission

Role of the operating system

Multitasking, time sharing and interrupts

Process states and transitions

Process scheduling

Memory allocation and management

Paging, segmentation, virtual memory and formal stack-frame diagrams

Number bases and conversion

Units of measurement and maximum states

Two’s-complement representation and negation

Signed fixed-point representation

Signed and unsigned binary arithmetic

Logical and arithmetic shifts

Bit masks

Overflow and underflow

Character encoding systems

Topic 2 mixed calculations and representations

Topic 2 feedback and repair

Network components and transmission media

Network diagrams and firewalls

Bandwidth, transfer rate, latency and range

IPv4, IPv6 and MAC addressing

Encryption fundamentals

Symmetric and asymmetric encryption

Monoalphabetic substitution cipher

Vernam cipher algorithm

Networks and encryption case study

Topic 3 timed checkpoint

Topics 1–3 cumulative feedback

Big data and the five Vs

Big-data infrastructure and diagrams

Data-science workflow

Data-science application and checkpoint

Categories of artificial intelligence

Supervised and unsupervised machine learning

Large language models: context and limitations

Large language models: bias and evaluation

Computer systems timed practice

Data representation timed practice

Networks and enabling technologies practice

Integrated WCP01 mock preparation

CS-owned final clinic before the joint mock

CS-owned joint-mock feedback and readiness

Post-exam data-system case study

Post-exam networked-AI design

Post-exam performance and representation investigation

Post-exam technical research and source validation

Post-exam presentation and transition review

Python entry bridge: diagnostic, workflow and exit outcomes

Values; integer, real, character, Boolean and string data; input, constants and conversion

Integer and real arithmetic, precedence, division, remainder and rounding

Boolean expressions, conditionals and match–case

Truth tables, boundary analysis, guard clauses and casework

For loops, ranges, accumulators and counting

While loops, sentinels, validation, break, continue and while–else

Nested loops and bounded iterative complete search

Digit algorithms, factors, prime testing, GCD, invariants and operation budgets

Strings: indexing, slicing and immutability

String traversal, parsing, formatting and character processing

Functions, procedures, parameters, returns and contracts

Scope, libraries, side effects and elementary recursion

Lists, tuples, mutability and aliasing

Reusable list scans and full linear-search variants

Built-in sorting, tuple keys and stable ordering

Dictionaries, sets, frequency maps and set operations

Two-dimensional lists, alias-safe grids and simulation

Text files: read, parse, write, append and built-in exceptions

Python entry bridge exit assessment: reasoning, tracing and representation

Python entry bridge exit assessment: coding, testing and debugging

Bridge mock feedback; records and formal structure selection

Numeric and string methods, randomisation and managed conversion

Robust file-processing pipeline, controlled errors and record CRUD/conversion

Stack theory, operations, uses and hand traces

Fixed-list stack implementation and boundary debugging

Queue theory, operations, uses and hand traces

Fixed-list queue implementation and boundary debugging

Topic 8 supplied-file practical: structures, files, stack, queue and sets

Topic 8 feedback, repair and written/practical coverage audit

Prefix sums: invariant, preprocessing and range queries

Prefix-sum transfer, correctness and checked upsolve

Bitwise operators and prefix-XOR range queries

Math and copy libraries: precision, mutation and state

Datetime, time and turtle: PLS reference fluency

Correct outcomes and IDE-assisted debugging

Program design, constraints, time and memory efficiency

Modular architecture and procedural programming at AS depth

Version control and open-source technologies

Clean code and controlled behaviour: readability, guard clauses and reduced nesting

System testing, refinement and Topic 9 checkpoint

Abstraction through interfaces and Bronze graph modelling

Graph-modelling transfer and checked upsolve

Decomposition and rectangle-geometry modelling

Rectangle overlap, visibility and proof

Pattern recognition, generalisation and ad hoc reasoning

Implementing algorithms from words, diagrams, flowcharts and textbook-style pseudocode

Linear-search proof and timed transfer

Iterative binary search and correctness

Recursive binary search and full hand trace

Lower/upper bounds and Silver range counting

Binary search on a monotonic predicate and on the answer

Optimised bubble sort

In-place insertion sort

Search/sort selection and keyed-ordering transfer

Recursion theory, call-stack tracing and termination

Recursive implementation, testing and repair

Recursive complete search and subset generation

Recursive backtracking transfer and checked upsolve

Greedy choices, invariants and counterexamples

Greedy transfer with sorting and irreversible state

Topic 10 practical, Unit 1 algorithms checkpoint and Bronze mini-contest I

Mini-contest I feedback, mandatory upsolve and gap clinic

Mixed Bronze mini-contest II

Mini-contest II feedback and Bronze portfolio audit

Entity–relationship models, keys and cardinality

Logical schema and integrity

SQLite administration and API use: connections, tables and constraints

Parameterised INSERT, UPDATE and DELETE; transactions and data removal

SELECT, DISTINCT, fetchone/fetchall and Python result handling

WHERE, BETWEEN, LIKE, NULL tests, compound conditions and UNION

ORDER BY, GROUP BY, HAVING and aggregate functions

Join variants, declarative programming and Python integration

Integrated Python–SQLite practical, feedback and Unit 2 audit

Transferred Unit 1 final repair and ownership audit

Post-WCP01 process review and WCP02 debugging clinic

Practical clinic: files, data and SQLite

Practical clinic: algorithms, best practice and debugging

Practical rehearsal feedback, repair and final readiness

Post-WCP02 review and graph-representation bridge

Iterative DFS and connected components

DFS components: independent transfer and feedback

BFS, queue invariant and unweighted shortest paths

Flood fill on grids, boundaries and complexity

Integrated Silver graph-traversal challenge and transition to Units 3–4

Introduction

Revolutionary Ideas: What makes an idea powerful enough to change society?

The Enlightenment: How did new ideas challenge traditional authority?

Revolutionary France: How did Enlightenment ideas become political action?

Revolution & Terror: Why can revolutions become violent?

Haitian Revolution: What did freedom and equality mean in practice?

Revolutionary Change: Why do some revolutions succeed while others fail?

Revolutionary Ideas Today: Can radical ideas still transform societies?

History Enquiry: When is revolution justified?

Socrates: Why should we question what we believe?

Plato: What would an ideal society look like?

Aristotle: What makes a good life?

Locke: What rights do individuals have?

Rousseau: Where should political authority come from?

Mill: How much freedom should individuals have?

Marx: Is economic inequality a political problem?

Nietzsche: Should we question traditional morality?

Comparing Thinkers: What do different philosophers believe makes a good society?

Power & Legitimacy: What gives a government the right to rule?

Freedom vs Security: When can governments legitimately restrict freedom?

Democracy: Is majority rule always fair?

Political Ideologies: How do different ideologies understand society and government?

The Individual & the State: How much power should governments have?

Political Participation: When is protest justified?

Media & Power: How does information influence political life?

Global Power: Who controls the world's resources?

Borders & Migration: Who has the right to cross a border?

Climate Justice: Who should be responsible for solving climate change?

Global Inequality: Why does wealth remain so unevenly distributed?

Development & Sustainability: Can economic growth continue indefinitely?

The Future of the Planet: What choices should societies make about resources?

AI & Consciousness: What does it mean to be human?

Technology & Freedom: Could technology make us less free?

The Future of Society: What principles should guide society in the future?

Final Humanities Enquiry: What makes a good society?

Hablar de las vacaciones

Hablar de tus actividades de verano

Hablar de los diferentes tipos de vacaciones

Hablar de lo que hiciste en las vacaciones

Describir dónde te alojaste

Reservar alojamiento y resolver problemas

Hablar de tus últimas vacaciones

Práctica para el examen: escuchar y leer

Preparación y práctica para el examen: escribir

Preparación y práctica para el examen: hablar

Dar opiniones sobre las asignaturas

Describir el uniforme y el día escolar

Hablar de las asignaturas y los profesores

Describir tu colegio

Hablar de las reglas y problemas escolares

Hablar de los planes para un intercambio escolar

Hablar de las actividades y los éxitos

Conectar con la familia

Describir a la gente utilizando correctamente los adjetivos

Hablar de las redes sociales

Quedar con amigos

Hablar de las preferencias de lectura

Describir a la gente detalladamente

Hablar de los amigos y la familia

Hablar de la niñez

Práctica para el examen: escuchar y leer

Preparación y práctica para el examen: escribir

Preparación y práctica para el examen: hablar

Hablar de las actividades de ocio

Hablar de los programas y las películas

Hablar de lo que hago normalmente

Hablar del deporte

Hablar de los temas del momento

Discutir las diversiones y los espectáculos

Hablar de quién te inspira

Práctica para el examen: escuchar y leer

Preparación y práctica para el examen: escribir

Preparación y práctica para el examen: hablar

Hablar de los lugares de la ciudad

Hablar de las tiendas

Describir una región

Hacer planes

Comprar ropa y regalos

Hablar de lo bueno y lo malo de una ciudad

Describir una visita del pasado

Pedir ayuda e información

Práctica para el examen: escuchar y leer

Preparación y práctica para el examen: escribir

Preparación y práctica para el examen: hablar

Describir la comida

Hablar de las enfermedades y las lesiones

Hablar de las comidas típicas

Comparar fiestas diferentes

Describir un día especial

Pedir comida en un restaurante

Hablar de un festival de música

Hablar de distintos tipos de trabajos

Hablar de lo que haces para ganar dinero

Hablar de las prácticas de trabajo

Hablar de la importancia de los idiomas en el trabajo

Solicitar un trabajo de verano

Discutir planes para tomarse un año sabático

Discutir planes para el futuro

Describir tipos de casas

Hablar de la comida sana

Considerar problemas globales

Hablar de acción local

Hablar de la vida sana

Hablar de los eventos deportivos internacionales

Hablar de catástrofes naturales

Práctica para el examen: escuchar y leer

Preparación y práctica para el examen: escribir

Preparación y práctica para el examen: hablar

Paper: Listening & Reading

Paper: Speaking

Paper: Writing

Grammar & Vocabulary

Full Mock Cycle

What Should We Learn in PSHE? – What PSHE is and what issues matter as they approach the end of school

Freedom & Responsibility – How much freedom should people have if their choices don't harm others?

Choices & Consequences – How decisions can have short- and long-term consequences

Peer Pressure & Influence – How friends, groups and social expectations influence choices

Risk & Decision Making – Identifying risks and weighing up possible consequences

Social Media & Pressure – Comparison, popularity, online pressure and how social media can affect behaviour

Alcohol, Smoking & Vaping

Stress: What Is It? – What stress is, common causes and recognising signs of stress

Managing Stress – Healthy ways to manage stress and knowing when to ask for help

Balancing School, Exams & Life – Managing schoolwork, revision, friends, hobbies, sleep and downtime

Review: Working Smarter – Different revision approaches, planning and avoiding ineffective revision

Exam Pressure – Expectations, fear of failure, comparison and dealing with exam pressure

Sleep & Exams – Sleep, concentration, routines and why sacrificing sleep for revision can be counterproductive

Managing Setbacks – Bad results, mistakes, disappointment and responding constructively

Asking for Help – When and how to seek support from teachers, family, friends and professionals

Healthy Relationships – Respect, trust, communication and equality

Communication & Conflict – Disagreements, listening and resolving conflict

Boundaries & Respect – Personal boundaries, privacy and respecting other people's boundaries

Consent & Personal Choice – Choice, pressure, respecting decisions and personal autonomy

Friendships Changing – Changing friendships, growing apart and dealing with disagreements

Supporting Friends – Recognising when someone may be struggling and responding appropriately

Money & Independence – Spending, saving, budgeting and becoming more responsible with money

Online Safety & Scams – Protecting personal information, scams and suspicious messages

Digital Footprint – How online behaviour can affect future opportunities and reputation

Future Options After Year 11 – Sixth form, college, vocational routes, apprenticeships and other pathways

Making Decisions About the Future – Interests, strengths, goals and choosing appropriate next steps

Independence & Responsibility – Managing time, appointments, commitments and responsibilities

Problem Solving – Approaching difficult situations, considering options and consequences

Dealing With Failure – Understanding that setbacks are part of learning and development

Preparing for the Next Stage – Practical and personal preparation for their next stage of education

CVs: Presenting Yourself

Improving Your CV

Part-Time Work & Job Applications

Year 11 PSHE Assessment – Stress, relationships, decision-making, independence and future choices

Looking Back at Year 11 – What they've learned about themselves and managing challenges

Looking Ahead – Goals, expectations and preparing for the next stage

Induction: course structure (P1-P4), IAL exam format

Algebra

Quadratics

Equations & Inequalities

Graphs

Review Exercise 1 (Algebra, Quadratics, Equations & Inequalities, Graphs)

Straight Lines

Trigonometric Ratios

Radians

Calculus

Review Exercise 2 (Straight Lines, Trigonometric Ratios, Radians, Calculus)

Module exam practice — P1-style paper, timed conditions

P1 mock feedback and targeted correction

Algebraic Methods

Coordinate Geometry

Exp & Logs

Binomial

Review Exercise 1 (Algebraic Methods, Coordinate Geometry, Exp & Logs, Binomial)

Sequences & Series

Trigonometry

Calculus

Review Exercise 2 (Sequences & Series, Trigonometry, Calculus)

Module exam practice — P2-style paper, timed conditions

P2 mock feedback and targeted correction

Algebraic Methods

Functions & Graphs

Trigonometry

Review Exercise 1 (Algebraic Methods, Functions & Graphs, Trigonometry)

Exp & Logs

Calculus

Numerical Methods

Review Exercise 2 (Exp & Logs, Calculus, Numerical Methods)

Module exam practice — P3-style paper, timed conditions

P3 mock feedback and targeted correction

Proof

Partial Fractions

Parametric Equations

Binomial

Review Exercise 1 (Proof, Partial Fractions, Parametric Equations, Binomial)

Differentiation

Integration

Vectors

Review Exercise 2 (Differentiation, Integration, Vectors)

Module exam practice — P4-style paper, timed conditions

P4 mock feedback and targeted correction

Intro to the curriculum and the topics

Intro to projectiles

Revision on moments

Centre of mass (concepts, formulae)

Standard shapes

COM of combined laminas

COM of frameworks

COM of folded laminas

COM of missing parts in laminas

Chapter review

Past paper problems on chapter 3 COM

Revision of SUVAT and projectiles

Vertical and Horizontal decomposition of projectiles

angled projections

Chapter review

Past paper problems on Projectiles

Review integration and differentiation

Displacement to velocity to acceleration connection

Differentiate to obtain velocity from displacement and acceleration from Velocity

Integrate to obtain velocity from displacement and acceleration from Velocity

Integrate and differentiate vectors

Chapter review

Revision on Chapters 1, 2 and 3

Mock

Intro to work energy principle

Work done against friction

KE and PE and power

Chapter review, past paper problems

Momentum as a vector

Impact, Newton law of restitution

Linear momentum and KE loss

Successive impacts

Chapter review, past paper problems

Intro to rigid bodies and its forces

Statics of rigid bodies

Chapter review, past paper problems

Review on Chapters 4,5,6

General revision

S1 diagnostic assessment: probability, discrete random variables and the normal distribution

S1 review: probability and the normal distribution; polynomial integration

Counting: addition, multiplication and subtraction rules

Counting: division rule and combinations

The binomial distribution: modelling assumptions

The binomial distribution: exact probabilities

Cumulative probabilities: inequalities and probability intervals

Cumulative probabilities: complements and integer thresholds

Mean and variance of the binomial distribution: moments and unknown parameters

Binomial distributions — review

Binomial distributions — assessment and corrections

The Poisson distribution: exact and cumulative probabilities

Modelling with the Poisson distribution

Adding Poisson distributions

Mean and variance of a Poisson distribution

Poisson distributions — review

Poisson distributions — assessment and corrections

Using the Poisson distribution to approximate the binomial distribution

Using the Poisson distribution to approximate the binomial distribution: accuracy and limitations

Approximating a binomial distribution: continuity correction

Approximating a binomial distribution: inverse probabilities and thresholds

Approximating a Poisson distribution by a normal distribution

Choosing the appropriate approximation

Approximations — assessment and corrections

Discrete distributions and approximations — review; polynomial integration

Continuous random variables: probability density functions

Continuous random variables: density parameters and probabilities

The cumulative distribution function: derivation from a density

The cumulative distribution function: piecewise distributions

Mean and variance of a continuous distribution

Mean and variance of a continuous distribution: functions and linear transformations

Mode and median

Quartiles and percentiles

Continuous random variables — review

Continuous random variables — assessment and corrections

The continuous uniform distribution: density, cumulative distribution function and mean

The continuous uniform distribution: variance and endpoints

Modelling with the continuous uniform distribution

Continuous uniform distribution — review

Continuous uniform distribution — assessment and corrections

Populations and samples; the concept of a statistic

The sampling distribution of a statistic: sample spaces

The sampling distribution of a statistic: sampling with and without replacement

The sampling distribution of a statistic: probabilities and moments

Sampling and sampling distributions — assessment and corrections

Hypothesis testing: hypotheses and significance levels

Finding critical values: critical regions and actual significance levels

One-tailed tests

Two-tailed tests

Testing the mean λ of a Poisson distribution

Using approximations: binomial and Poisson hypothesis tests

Using approximations: exact and approximate decisions

Hypothesis testing — review

Hypothesis testing — assessment and corrections

S2 consolidation

Binomial and Poisson distributions: inverse probabilities and approximations

Continuous distributions: densities, cumulative probabilities, moments and quantiles

S2 mock examination — allocation 1 of 2

S2 mock examination — allocation 2 of 2

S2 mock examination — feedback and corrections

Hypothesis testing: exact and approximate tests — revision

Sampling and sampling distributions; inverse probabilities — revision

S2 revision: method selection and mixed problems

Further Inequalities

Further Series

Exponential Form

Multiplying and Dividing

De Moivre’s Theorem

Trigonometric Identities

Nth Roots of a Complex Number

Loci in an Argand Diagram

Regions in an Argand Diagram

Transformations of the Complex Plane

Solving First-Order Differential Equations

First-Order Linear Differential Equations of the form dy/dx+Py=Q

Reducible First-Order Differential Equations

Second-Order Homogeneous Differential Equations

Second-Order Non-Homogenous Differential Equations

Using Boundary Conditions

Reducible Second-Order Differential Equations

Higher Derivatives

Maclaurin Series

Series Expansions of Compound Functions

Series Solutions of Differential Equations

Polar Coordinates and Equations

Sketching Curves

Area Enclosed by a Polar Curve

Tangents to Polar Curves

Introduction

Sketching graphs of the functions

Inverse Hyperbolics

Identities and Equations

Ellipses

Hyperbolas

Eccentricity

Tangents and Normals

Loci

Differentiating Hyperbolics

Differentiating Inverse Hyperbolic Functions

Differentiating Inverse Trigonometric Functions

FP2 Revision

Standard Integrals

Trigonometric and Hyperbolic Substitutions

Integrating Expressions

Integrating Inverse Hyperbolic and Trigonometric Functions

Deriving and Using Reduction Formulae

Finding the length of an Arc of a Curve

Finding the Area of a Surface of Revolution

Transposing a Matrix

The Determinant of a 3 X 3 Matrix

The Inverse of a 3 X 3 Matrix

Using Matrices to represent Linear Transformations in 3 Dimensions

Using Inverse Matrices to reverse the effect of a Linear Transformation

The Eigenvalues and Eigenvectors of 2 X 2 and 3 X 3 Matrices.

Reducing a Symmetric Matric to Diagonal Form

Vector Product

Finding Areas

Scalar Triple Product

Straight Lines

Vector Planes

Solving Geometric Problems

Review of FP3

Review of FP3 and preparation for AEA assessment

Circular Motion

Inertial Effects in Circular Motions

Linear Momentum

Conservation of Momentum

1-D and 2-D Collisions

Review Topic 5

Electrostatic Interaction

Coulomb’s Law

Electric Field

Electric Field Topologies

Strength of the Electric Field

Voltage

Electric Potential

Relation between E and V

Capacitors

Capacitance

Energy Stored in a Capacitor

RC Circuits

Review Electricity

Magnets

Magnetic Interaction

Magnetic Field

Strength of Magnetic Field

Magnetic Force and Lorentz Force

Magnetic Flux Density

Electromagnetic Induction

Lenz’s Rule

Faraday’s Law

'-rms Values

Electric Motors

Review Electricity and Magnetism

Atoms

The Discovery of the Electron

The Discovery of the Nucleus

Atomic Models

The Discovery of the Proton and Neutron

Quantization of Charge and Mass

Particle Accelerators

Particle Detectors

Large Hadron Collider

The Standard Model

Nuclear Reactions

Review Nuclear Physics

Review Unit 4

Newton’s Law of Universal Gravitation

Gravitational Field

Gravitational Field Topologies

Gravitational Potential

Escape Velocity

Central Field Problem

Orbital Motion

Review Universal Gravitation

Oscillations

Simple Harmonic Motion

Period of SHM

Mathematical Pendulum

Resonance and Damping

Review Oscillations and Gravitation

Thermodynamic Parameters

Temperature Scales

Ideal Gas

The Laws of Ideal Gas

Equation of State

Statistical Mechanics

The Laws of thermodynamics

Calorimetry

Specific Heat Capacity

Phase Transitions

Latent Heat Capacity

Black-Body Radiation

Stefan-Boltzmann Law

Wien Law

Review Thermodynamics

Radioactivity

Radioactive Decay

The Law of Radioactive Decay

Fission and Fusion

Review Radioactivity

Luminosity

Life Cycle of stars

Hertzsprung-Rusell Diagrams

Relativistic Doppler Effect

Finding Astronomical Distances

The Age of the Universe

The Fate of the Universe

Review Thermodynamics and Space Physics

Exam Preparation

Review Units 4,5,6

13.1 User-defined data types

13.2 File organisation and access

13.3 Floating-point numbers

14.1 Protocols

14.2 Circuit switching and packet switching

15.1 Processors and parallel processing

15.1 Virtual machines

15.2 Boolean algebra and logic circuits

16.1 Purposes of an Operating System

16.1 Operating systems – process management

16.1 Operating systems – interrupts and memory

16.1 Operating systems – memory management

16.2 Translation software

17.1 Encryption and cryptography

17.2 Quantum cryptography

17.3 Protocols

17.4 Digital certificates

18.1 Artificial Intelligence – graphs and search

18.1 Artificial Intelligence – machine learning

18.1 Artificial Intelligence – learning methods

19.1 Algorithms – searching and sorting

19.1 Algorithms – sorting and comparison

19.1 Abstract Data Types

19.2 Recursion

20.1 Programming paradigms – overview and low-level

Paper 3 & Paper 4 final revision

AS level recap; strengths and weaknesses from past exam

Structuring exam answers

Types of Business

Business growth and objectives

Revenue, costs and profits

Economies of scale and diseconomies of scale

Market structures I: efficiency, concentration ratios, perfect competition

Market structures II: monopolistic competition and oligopoly

Oligopoly & contestability: collusion, price/non-price competition, barriers, contestability

Labour markets: demand and supply of labour, wage determination, elasticity

Labour markets & government intervention: wage controls, immobility, discrimination, monopsony

Government intervention in product & labour markets; regulation, competition policy, intervention failures

Unit 3 consolidation & completion

Unit 3 exam preparation: weak areas, quantitative skills, source questions

Unit 3 exam preparation: extended writing and evaluation

Causes & effects of globalisation

Globalisation continued: TNCs, FDI, benefits/costs

Trade & comparative advantage

Trade & trading blocs: WTO, FTAs, customs unions, common markets, EMUs

Protectionism: tariffs, quotas, subsidies and impacts

Balance of payments

Exchange rates

International competitiveness

Poverty & inequality

Role of the state: public expenditure & taxation

Fiscal deficits, national debt & macroeconomic policy

Growth & development: HDI, constraints on development

Strategies for growth & development

Unit 4 consolidation

Unit 4 exam preparation

What Should We Learn in PSHE? – What issues are relevant as they prepare for life after school

Debt, Borrowing & Credit – Credit cards, loans, interest, borrowing responsibly and consequences of debt

Managing Money Independently – Income, expenditure, budgeting and financial priorities

Banking & Financial Safety – Bank accounts, cards, transfers, scams and protecting financial information

Saving & Financial Goals – Emergency savings, short/long-term goals and planning ahead

Understanding Tax & Payslips – Gross pay, deductions, tax, national insurance/social contributions and net pay

Consumer Rights & Contracts – Understanding contracts, subscriptions, purchases and consumer responsibilities

Making Financial Decisions – Comparing options, prioritising spending and considering long-term consequences

University: Choosing the Right Course – Comparing courses, entry requirements, location, cost and career relevance

University Applications – Application timelines, personal statements/application requirements and organising information

University Finance – Tuition fees, living costs, student finance and budgeting as a student

Student Accommodation – Halls, private accommodation, deposits, bills and responsibilities

Living Away From Home – Managing food, cleaning, laundry, appointments and everyday responsibilities

Moving Away: What Do I Need? – Practical preparation for moving out and becoming more independent

CVs: What Makes a Good CV? – Structure, presentation, skills, experience and achievements

Building Your CV – Turning education, experience and activities into evidence of skills

Improving Your CV – Tailoring a CV, writing effective descriptions and removing unnecessary information

Employability Skills – Communication, teamwork, reliability, initiative and problem-solving

Finding Opportunities – Jobs, internships, volunteering, work experience and graduate opportunities

Professional Communication – Emails, messages, appropriate tone and communicating in professional settings

The World of Work – Workplace expectations, professionalism, rights and responsibilities

Employment Contracts – Pay, hours, holidays, responsibilities and understanding what you're agreeing to

Renting & Housing – Renting, deposits, bills, contracts and responsibilities as a tenant

Living Costs – Realistic costs of living independently and managing monthly expenses

Health & Healthcare as an Adult – Making appointments, accessing healthcare, prescriptions and taking responsibility for your health

Time Management & Organisation – Balancing study/work, appointments, deadlines and personal responsibilities

Problem Solving in Adult Life – Handling unexpected problems independently and knowing when to seek help

Digital Footprint & Online Reputation – How online behaviour can affect university, work and future opportunities

Scams, Fraud & Online Safety – Recognising scams, protecting accounts and responding to fraud

Planning Your Next 5 Years – University, work, finances, travel, skills and personal goals

Life After School: Different Routes – University, employment, apprenticeships, gap years and other pathways

Personal Finance Challenge – Apply budgeting, borrowing, saving and financial decision-making

Independent Living Challenge – Students plan a realistic month of independent life

Year 13 Life Skills Assessment – Financial, university, work and independent-living scenarios

Preparing for the Next Chapter – What needs to be organised before leaving school

Looking Ahead – Reflection, goals and plans for life after school

6 year groups · 4807 topics.

Faq
What is the student to teacher ratio at your school?

We have a maximum class size of 12 in any class.

Which external examinations do Creators students write?

Our students write the Cambridge IGCSE and A-level examinations.

Which curriculum is Creators using?

We design our own extended curriculum, covering more than the Cambridge curriculum to facilitate subject mastery and university readiness.

At what grade level does the focus on STEM subjects begin?

A love of STEM is ignited early at our school, with a strong foundation built from Year 3. This focus progressively deepens throughout the grades, preparing students to excel in both STEM-related university studies and careers.

Are there opportunities for students who are not naturally inclined towards STEM subjects to excel in other areas?

We believe in balance, so elective subjects allow students to explore interests beyond STEM. Yet, as a STEM-focused school, all students must build a strong STEM foundation through engaging, mandatory courses.

What specific subjects are covered within "languages" and "social studies" in the primary school?

At this stage we offer English at first language level and Spanish at second language level. Social studies has components of history, geography, economics and global perspectives.

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University & Career Counselling

We are committed to preparing our students for entry into the leading universities in the UK, the US, and around the world.

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The Creators Approach

At Creators, our approach is intentional and crafted to create an extraordinary educational journey for your child.

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About Creators Maths School

We are the launchpad for the next generation of innovative science and technology leaders and entrepreneurs.

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