📐 GCSE Mathematics

Foundation Higher All Boards

Complete lesson plans for GCSE Maths covering all 97 topics across 6 strands. Aligned with AQA, Edexcel, OCR, Eduqas, and CCEA specifications. Designed for homeschooling parents with detailed teaching notes, worked examples, and assessment criteria.

📊 Course Overview

GCSE Mathematics covers 6 strands with 97 topics total. Foundation tier (grades 1-5) covers core content; Higher tier (grades 4-9) includes additional topics marked with Higher.

Strand	Topics
Number	16
Algebra	25
Ratio, Proportion & Rates	16
Geometry & Measures	25
Probability	9
Statistics	6

🔢 Number (16 Topics)

N1 Ordering Numbers N2 Four Operations N3 Order of Operations N4 Prime Numbers, Factors & Multiples N5 Systematic Listing N6 Powers and Roots N7 Integer Indices N8 Surds Higher N9 Standard Form N10 Terminating & Recurring Decimals N11 Fractions in Ratio Problems N12 Fractions & Percentages as Operators N13 Units & Conversions N14 Estimation & Approximation N15 Rounding & Error Intervals N16 Upper and Lower Bounds Higher

🔤 Algebra (25 Topics)

A1 Algebraic Notation A2 Substitution A3 Algebraic Terminology A4 Simplifying Expressions A5 Rearranging Formulae A6 Algebraic Proof Higher A7 Functions Higher A8 Coordinates A9 Straight Line Graphs A10 Gradients & Intercepts A11 Quadratic Graphs A12 Other Graphs A13 Graph Transformations Higher A14 Real-Life Graphs A15 Gradients & Areas Under Graphs A16 Circles Higher A17 Solving Linear Equations A18 Solving Quadratic Equations A19 Simultaneous Equations A20 Iteration Higher A21 Modelling with Algebra A22 Inequalities A23 Generating Sequences A24 Types of Sequences A25 nth Term

⚖️ Ratio, Proportion & Rates (16 Topics)

R1 Compound Units R2 Scale Drawings R3 Fractions of Amounts R4 Simplifying Ratio R5 Dividing in a Ratio R6 Multiplicative Relationships R7 Proportion R8 Ratio & Linear Functions R9 Percentages R10 Direct & Inverse Proportion R11 Compound Measures R12 Similarity & Trigonometry R13 Equations of Proportion Higher R14 Graphs & Rates of Change R15 Instantaneous Rate of Change Higher R16 Growth & Decay

📐 Geometry & Measures (25 Topics)

G1 Geometric Notation G2 Constructions G3 Angles G4 Quadrilaterals & Triangles G5 Congruence Criteria G6 Geometric Proof Higher G7 Transformations G8 Combined Transformations Higher G9 Circle Parts G10 Circle Theorems Higher G11 Coordinate Geometry G12 3D Shapes G13 Plans & Elevations G14 Units of Measure G15 Measuring & Bearings G16 Area & Volume G17 Circles: Area & Circumference G18 Arcs & Sectors G19 Similar Shapes Higher G20 Pythagoras & Trigonometry G21 Exact Trigonometric Values G22 Sine & Cosine Rules Higher G23 Area of Triangle Formula Higher G24 Vectors G25 Vector Proofs Higher

🎲 Probability (9 Topics)

P1 Recording Outcomes P2 Fairness & Randomness P3 Probability Scale P4 Mutually Exclusive Events P5 Experimental vs Theoretical P6 Systematic Listing P7 Possibility Spaces P8 Tree Diagrams P9 Conditional Probability Higher

📊 Statistics (6 Topics)

S1 Sampling S2 Charts & Diagrams S3 Grouped Data Higher S4 Measures of Central Tendency S5 Describing Populations S6 Scatter Graphs

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More topics (31)

A6 Algebraic Proof A16 Circles A8 Coordinates G21 Exact Trigonometric Values P5 Experimental Vs Theoretical N11 Fractions In Ratio Problems N12 Fractions & Percentages As Operators A7 Functions A23 Generating Sequences A15 Gradients & Areas Under Graphs A10 Gradients & Intercepts R14 Graphs And Rates Of Change A13 Graph Transformations R16 Growth And Decay A22 Inequalities R15 Instantaneous Rate Of Change A20 Iteration A21 Modelling With Algebra P4 Mutually Exclusive Events A25 Nth Term A12 Other Graphs A11 Quadratic Graphs A14 Real-Life Graphs R12 Similarity And Trigonometry A19 Simultaneous Equations A17 Solving Linear Equations A18 Solving Quadratic Equations A9 Straight Line Graphs A24 Types Of Sequences G14 Units Of Measure N16 Upper And Lower Bounds