Mathematics Specification - Cakebread Science

Topic 1: Numbers and the number system

1.1 - Integers

Understanding integers, place value, and ordering

Integers & Negative Numbers

Ordering & Rounding

1.2 - Operations

Addition, subtraction, multiplication, and division

Integers & Negative Numbers

Fractions, Decimals & Percentages

1.3 - Number Sets

Rational numbers, irrational numbers, and set notation

Decimals & Sets

Set Theory

1.4 - Indices and Surds

Powers, roots, and surds

Surds & Indices

Set Theory

1.5 - Standard Form

Scientific notation and calculations

Prime Factors & Standard Form

1.6 - Ratio and Proportion

Ratio, proportion, percentages, and direct/inverse variation

Ratio & Proportion

Topic 2: Equations, formulae and identities

2.1 - Algebraic Notation

Algebraic expressions and simplification

Algebraic Notation

2.2 - Linear Equations

Solving linear equations

Algebraic Notation

2.3 - Quadratic Equations

Solving quadratic equations

Algebraic Notation

2.6 - Inequalities

Linear and quadratic inequalities

Inequalities

2.7 - Graphical Solutions

Using graphs to solve equations and inequalities

Inequalities

Topic 3: Sequences, functions and graphs

3.1 - Sequences

Arithmetic and geometric sequences

Sequences & Series

3.2 - Series

Sum of arithmetic and geometric series

Sequences & Series

3.3 - Advanced Series

Binomial series and convergence

Sequences & Series

3.4 - Functions

Function notation and composition

Functions & Graphs

3.5 - Graphs

Sketching and transforming graphs

Functions & Graphs

Topic 4: Geometry and trigonometry

4.1 - Properties of Shapes

Angles, triangles, and circles

Geometry & Shapes

Trigonometry

4.2 - Measurements

Perimeter, area, and volume

Geometry & Shapes

4.3 - Trigonometry

Sine rule, cosine rule, and applications

Trigonometry

Topic 5: Vectors and transformation geometry

5.1 - Vectors

Vector notation and operations

Vectors & Transformations

5.2 - Transformations

Reflections, rotations, translations, and enlargements

Vectors & Transformations

Topic 6: Statistics and probability

6.1 - Data Representation

Collecting and representing data

Statistics & Probability

6.2 - Statistical Analysis

Mean, median, mode, variance, and standard deviation

Statistics & Probability

Advanced Statistics & Probability

6.3 - Probability

Probability rules and distributions

Statistics & Probability

Advanced Statistics & Probability