Year 12 · Ages 16–17

British Year 12 Mathematics

An extra-deep three-term British Year 12 programme with 15 units, 75 complete lessons, rigorous Pure Mathematics, Statistics and Mechanics, and adaptive one-question practice.

Complete AS Mathematics programme

15 topics

75 lessons

3 terms

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What you will be able to do

Build rigorous arguments with functions, algebra, trigonometry and proof
Differentiate and integrate foundational A-level functions
Analyse data, probability and binomial hypothesis tests
Model kinematics and forces with clear assumptions
Connect Pure Mathematics, Statistics and Mechanics in unfamiliar problems

Course contents

Every topic, lesson by lesson.

Term 1 · Unit 1

Proof and advanced algebra

Build rigorous algebraic arguments and control expressions beyond GCSE.

Term 1 · Unit 2

Functions and graph transformations

Treat functions as mappings with domains, ranges and reversible structure.

Term 1 · Unit 3

Coordinate geometry and circles

Use algebra to describe lines, circles and their intersections.

Term 1 · Unit 4

Sequences and binomial expansion

Represent progression, recurrence and finite binomial structure.

Term 1 · Unit 5

Trigonometry and radians

Extend trigonometry to radian measure, identities and complete solution sets.

Term 2 · Unit 6

Exponentials and logarithms

Use logarithms as inverse functions and solve growth models.

Term 2 · Unit 7

Differentiation

Develop derivatives from first principles and use them to analyse change.

Term 2 · Unit 8

Integration

Reverse differentiation and interpret definite integration geometrically.

Term 2 · Unit 9

Data collection and representation

Design reliable studies and analyse distributions with careful notation.

Term 2 · Unit 10

Probability foundations

Represent dependent and independent events using exact structures.

Term 3 · Unit 11

Statistical distributions

Model random variables and binomial processes with justified assumptions.

Term 3 · Unit 12

Hypothesis testing

Use binomial evidence to test claims and communicate conclusions.

Term 3 · Unit 13

Kinematics in one dimension

Model displacement, velocity and acceleration with graphs and equations.

Term 3 · Unit 14

Forces and Newton's laws

Resolve forces and construct connected particle models.

Term 3 · Unit 15

Year 12 synthesis

Connect pure and applied methods in unfamiliar multi-step problems.

Concepts to practise again

Built from your saved practice attempts in this course, weakest question types first.

Complete a practice set in any lesson to see which question types to practise again.

Curriculum alignment

This course satisfies the following education systems.

British Curriculum

A Levels

Cambridge

Edexcel

International Baccalaureate