- Experimental probability
- Probability and variation
- Comparing experiment and theory

Fractions decimals and Percentages
- Fractions and decimals
- Adding and subtracting fractions 
- Fractions of amounts 
- Percentages of amounts 
- Percentage increase and decrease 
- Comparing proportions

Expressions and formulae
- Arithmetic in algebra
- Index notation and powers
- Simplifying expressions
- Multiplying brackets
- Substituting negative values
- Using formulae

Measures and measurements
- Using metric units
- Imperial units
- Area of a triangle and a parallelogram
- Compound areas
- Finding volumes
- Surface area


Functions and graphs
- Algebraic functions 
- Graphs of functions 
- Straight-line graphs 
- Conversion graphs 
- Distance—time graphs 
- Interpreting graphs 

Multiplicative reasoning
- Multiplying by powers of 10
- Rounding and ordering 
- Adding and subtracting 
- Mental multiplication and division
- Multiplying decimals 
- Dividing decimals
- Ratio and proportion 
- Multiplicative relationships 
- Direct proportion 

- Congruent shapes
- Transformations

- Combining transformations

- Describing symmetries
- Enlargements
- Enlarging shapes

Equations and formulae
- Solving simple equations
- Simplifying expressions
- Balancing equations
- Equations with brackets
- Functions and formulae
- Formulae


Handling data
- Planning data collection 
- Displaying data  
- Interpreting data 
- Stem-and-leaf diagrams 
- Comparing data 
- Statistical reports 

Multiplication and division
- Addition and subtraction laws 
- Multiplication and division laws 
- Order of operations
- Multiplying decimals 
- Dividing with decimals 
- Using measures

Equations and graphs
- Expanding brackets
- Constructing and solving equations
- Solving equations with brackets
- Equations involving fractions
- Graphs of proportions
- Graphs of linear functions
- Real-life graphs
- Algebraic manipulation

Solving problems
- Understanding the problem
- Organizing your results
- Using algebra
- Investigating ratios
- Extending your investigation
- Investigating further

Dimensions and scales
- Cubes and cuboids
- Plans and elevations
- Volume and surface area
- Scale drawings
- Bearings
- The midpoint of a line
- Finding simple loci
- Constructing triangles

Data projects
- Formulating hypotheses 
- Organizing the data collection 
- Processing data
- Displaying and interpreting data 

Experiments
- Statistical modelling 
- Analyzing results 
- Probability simulations 

Functions and graphs
- Revising straight-line graphs
- Inverse functions
- Quadratic functions and curved graphs
Summary

Solving equations
- Revising equations
- Trial and improvement
- Simultaneous equations
- Further simultaneous equations
- Using simultaneous equations to solve problems
- Solving simultaneous equations by graphs
Summary

Indices and graphs
- Revising indices
- Negative and fractional indices
- Simplifying expressions
- Expanding and factorizing
- Expanding double brackets
- Gradients of parallel and perpendicular lines
- Further curved graphs
- Solving linear inequalities
- Graphical inequalities
- Summary

Expressions and formulae
- Proof
- Further expanding
- Solving equations with brackets
- Algebraic fractions
- Using and rearranging formulae
- Rearranging harder formulae
- Summary

Transformations  and congruence
- Transformations review
- Enlargements review
- Congruent triangles
- Similar shapes 
- Enlargement and similarity 
- Scale and proportion 
- Summary 

Applying geometrical reasoning
- Properties of angles
- Review of Pythagoras’ theorem
- 2-D representation of 3-D shapes
- Introductory trigonometry
- Using trigonometry
- Surface area and volume of a prism
- Summary

Problem solving and revision
- Making sense of the problem
- Answering the question
- Choosing a strategy
- Proportional reasoning
- Geometrical reasoning
- Appropriate accuracy
- Summary

Trigonometry and Pythagoras’ theorem
- Pythagorean triples
- Solving problems with trigonometry
- Bearings and trigonometry

- Angles of elevation and depression
- Triangles in a circle
- Graph of y = sin x

Proportional reasoning
- Adding and subtracting fractions
- Multiplying by fractions
- Dividing by fractions
- Percentage change
- Comparing proportions
- Reverse percentages
- Using ratio
- Proportionality
- Significant figures

Number calculations
- Powers and roots
- Standard form
- Rounding
- Addition and subtraction
- Mental multiplication and division
- Written multiplication
- Written division
- Recurring decimals and reciprocals
- Summary

Geometrical reasoning and construction
- Geometrical language
- Angles in polygons 
- Harder angle problems
- Pythagoras’ theorem 
- Pythagoras problems 
- Circle properties 
- Constructing triangles
- Drawing loci 
- More complex loci
- Summary 

Perimeter, area and volume
- Metric measures
- Circumference and area of a circle
- Arcs and sectors
- Line segments
- Compound measures
- Prisms
Summary

Handling data
- The handling data cycle
- Calculating statistics 
- Representing data 
- Comparing distributions 
- Interpretation of data 
- Misleading statistics
- Summary

Probability
- Probability and expected frequency
- Probability and independent events
- Experimental probability
- Relative frequency and experiments
Summary

Statistical reports
- Planning and investigation 
- Gathering data
- Representing and analyzing data 
- Representing data 
- The shape of distribution
- Statistical reports 
Summary 

Theoretical and experimental probability
- Probability ideas
- Sampling with and without replacement
- Harder tree diagram problems
- More than two events
- Estimating probability
- Probability investigations
Summary