Maths

1.01 Calculations with integers

• Four rules with integers

1.02 Whole number theory

• Highest Common Factor (HCF) and Lowest Common Multiple (LCM)
• Prime numbers and prime factorisation
• Whole number theory: definitions and terms

1.03 Combining arithmetic operations

• Priority of operations

1.04 Inverse operations

• Inverse operations

2.01 Fractions

• Calculations with fractions
• Equivalent fractions
• Fractions of a quantity

2.02 Decimal fractions

• Addition, subtraction and multiplication of decimals
• Decimals and fractions
• Division of decimals

2.03 Percentages

• Percentage calculations
• Percentage change
• Percentage conversions

2.04 Ordering fractions, decimals and percentages

• Inequality and equality symbols
• Ordering fractions, decimals and percentages

3.01 Powers and roots

• Calculation and estimation of powers and roots
• Index notation
• Laws of indices

3.02 Standard form

• Calculations with numbers in standard form
• Standard form

3.03 Exact calculations

• Exact calculations with fractions, π and surds
• Manipulating surds

4.01 Approximation and estimation

• Estimation
• Rounding
• Upper and lower bounds

5.01 Calculations with ratio

• Division in a given ratio
• Equivalent ratios
• Ratios and fractions
• Solve ratio and proportion problems

5.02 Direct and inverse proportion

• Direct proportion
• Inverse proportion

5.03 Discrete growth and decay

• Growth and decay

6.01 Algebraic expressions

• Algebraic fractions
• Algebraic terminology and proofs
• Collecting like terms
• Completing the square
• Factorising
• Multiplying out brackets / expanding
• Simplifying products and quotients

6.02 Algebraic formulae

• Change the subject of a formula
• Formulate algebraic expressions
• Recall and use standard formulae
• Substitute numerical values into formulae and expressions
• Use kinematics formulae

6.03 Algebraic equations

• Approximate solutions by iteration
• Approximate solutions using a graph
• Linear equations in one unknown
• Quadratic equations
• Simultaneous equations

6.04 Algebraic inequalities

• Inequalities in one variable
• Inequalities in two variables

6.05 Language of functions

• Functions

6.06 Sequences

• Generate terms of a sequence
• Special sequences

7.01 Graphs of equations and functions

• Equations of circles
• Exponential functions
• Plotting graphs of equations and functions
• Polynomial and reciprocal functions
• Trigonometric functions
• x- and y-coordinates (graphs)

7.02 Straight line graphs

• Parallel and perpendicular lines
• Straight line graphs

7.03 Transformations of curves and their equations

• Translations and reflections of graphs

7.04 Interpreting graphs

• Areas under graphs
• Gradients in context
• Graphs of real-world contexts

8.01 Conventions, notation and terms

• 2D and 3D shapes terminology
• Angles terminology
• Diagrams from descriptions
• Geometrical instruments
• Polygons terminology
• Polyhedra and other solids
• x- and y-coordinates in plane geometry

8.02 Ruler and compass constructions

• Angle bisector construction
• Loci
• Perpendicular bisector construction
• Perpendicular from a point to a line

8.03 Angles

• Angles at a point
• Angles between intersecting and parallel lines
• Angles in polygons
• Angles on a line

8.04 Properties of polygons

• Properties of quadrilaterals
• Properties of triangles
• Symmetry of polygons

8.05 Circles

• Alternate segment theorem
• Circle nomenclature
• Circle theorem: angle between radius and chord
• Circle theorem: angle between radius and tangent
• Circle theorem: angle in a semicircle
• Circle theorem: angle subtended at centre and circumference
• Circle theorem: angles in the same segment
• Cyclic quadrilaterals

8.06 Three-dimensional shapes

• 3-dimensional solids
• Plans and elevations

9.01 Plane isometric transformations

• Combinations of transformations
• Reflection (transformation)
• Rotation (transformation)
• Translation (transformation)

9.02 Congruence

• Applying congruent triangles
• Congruent triangles

9.03 Plane vector geometry

• Column vectors
• Vector arithmetic

9.04 Similarity

• Enlargement
• Similar shapes
• Similar triangles

10.01 Units and measurement

• Compound units
• Maps and scale drawings
• Units of measurement

10.02 Perimeter calculations

• Circumference of a circle
• Perimeter of composite shapes
• Perimeter of rectilinear shapes

10.03 Area calculations

• Area of a circle
• Area of a parallelogram
• Area of a trapezium
• Area of a triangle
• Area of composite shapes

10.04 Volume and surface area calculations

• Volume and surface area of cones and spheres
• Volume and surface area of polyhedra
• Volume and surface area of pyramids

10.05 Triangle mensuration

• Cosine rule
• Exact trigonometric ratios
• Pythagoras' theorem
• Sine rule
• Trigonometry in right-angled triangles

11.01 Basic probability and experiments

• Equally likely outcomes and probability
• Relative frequency
• Relative frequency and probability
• The probability scale

11.02 Combined events and probability diagrams

• Enumeration
• Multiplication law of probability and conditional probability
• Sample spaces
• The addition law of probability
• Tree diagrams
• Venn diagrams and sets

12.01 Sampling

• Populations and samples

12.02 Interpreting and representing data

• Categorical and numerical data
• Grouped data

12.03 Analysing data

• Bivariate data
• Misrepresenting data
• Outliers
• Summary statistics