Curriculum Map
Years 7 to 11 follow the mathematics mastery curriculum. An overview over when we teach which topic can be found under “Curriculum Map”. For further information please contact Mrs A. Davies (adavies@stpetershuntingdon.org)
All KS3 and 4 students sit a half termly pre and post test. The pre test allows us to determine the previous knowledge students have of the topics we are about to teach. The post test is an indicator of how much progress students have made over one half term. You will find the pre and post test marks on MyChildatSchool. If you have a query about the progress of your child please refer to the Contact Us page for email addresses of all teachers in the department.
For the GCSE exam we use the AQA exam board. Students have to sit three papers – each of them 90 minutes long. Paper 1 is a noncalculator paper, in paper 2 and paper 3 the use of a calculator is allowed.
AS Mathematicians follow the AQA AS Mathematics syllabus, studying Pure Maths, Mechanics and Statistics. There are generally no exams at the end of y12 unless it seems necessary. Please refer to the AS and A level support page for recommended support materials.
A Level Mathematicians follow the AQA A2 Mathematics syllabus. The sitting of the AS exam instead of the A2 exam at the end of y12 is at the department’s discretion. The A2 exams are taken in May / June. Please refer to the AS and A level support page for recommended support materials.
Year 7
Autumn 1
Solve word problems (add and subtract)

Autumn 2
Explain and
investigate (multiply and divide)

Spring 1
Geometry

Spring 2
Fractions

Summer 1
Applications of algebra

Summer 2
Percentages and statistics

All should be confident and competent in Key Stage 2 material. Review of these prerequisites may be useful for each unit:

 Number bonds
 Convert units
 Money +/−
 Measurement

 Mental strategies
 Multiplication facts
 Multiplication strategies
 Solve number problems

 Lengths and units
 Parallel and perpendicular
 Work with angles
 Division and the mean

 Equal parts
 Factors and multiples
 Tenths and hundredths
 Word problems
 Fractional areas

 Areas of rectangles and triangles
 Number patterns
 Algebraic notation
 Triangle and quadrilateral properties

 Decimals and problem solving
 Fractions of shapes
 Equivalence
 Order of operations

All will have access to this specific Key Stage 3 content:

 Place value (including decimals)
 Add and subtract (including decimals)
 Rounding
 Perimeter
 Mental strategies

 Factors and multiples
 Multiply and divide (including decimals)
 Area of rectangle, triangle and parallelogram
 Calculate the mean
 Further mental strategies

 Draw and measure angles
 Find unknown angles (straight lines, at a point, vertically opposite)
 Properties of triangles and quadrilaterals
 Unit conversions (linear)
 Symmetry and tessellation

 Equivalent fractions
 Compare and order fractions and decimals
 Change mixed numbers to improper fractions and vice versa
 Fraction of a quantity
 Multiply and divide fractions

 Order of operations
 Substitution
 Form and simplify algebraic expressions
 Expand over a single bracket, and factorise
 Sequences (termto term, not nth term)

 Construct and interpret statistical diagrams including pie charts
 Convert between percentages, vulgar fractions and decimals
 Percentage of a quantity
 Find the whole, given the part and the percentage

As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:

 Different counting systems or bases
 Generalisation
 Upper and lower bounds

 Shikaku puzzles
 Different counting systems or bases
 Alternative methods of multiplication
 Generalisation

 Tessellating triangles and quadrilaterals
 Tangram investigations
 Rigid shapes

 Terminating and recurring decimals
 Fractions of tangrams
 Shape block challenges

 Four fours
 Patterns and generalising
 Algebraic mean questions

 Comparing and converting between representations
 Applications of percentages

Year 8
Autumn 1
Number

Autumn 2
Algebraic expressions

Spring 1
2D geometry

Spring 2
Proportional reasoning

Summer 1
3D geometry

Summer 2
Statistics

All should be confident and competent with Year 7 material. Review of these prerequisites may be useful for each unit:

 Factors, multiples and primes
 Multiplication and division
 Fraction equivalence and calculations

 Problem solving with fractions
 Order of operations
 Form algebraic expressions
 Substitution

 Angle types
 Angle facts
 Rectangle and triangle areas
 ×/÷ by powers of 10
 Problem solving with negative numbers

 Rounding
 Bar modelling with factions
 Fraction ×/÷
 Bar modelling with equations
 FDP equivalence

 Rectilinear areas
 Fraction +/−
 Problem solving with fractions
 Percentage increase and decrease
 Substitution with negatives

 Statistical diagrams
 Ratio and rate
 The mean
 Calculator skills and rounding

All will have access to this specific Key Stage 3 content:

 Primes and indices
 Prime factorisation, squares and cubes
 Use of Venn diagrams to find LCM and HCF
 Add and subtract fractions

 Order and calculate with negative numbers
 Form and solve linear equations (unknowns on one side)
 Use more complex algebraic expressions
 Linear sequences: nth term

 Construct triangles and quadrilaterals
 Calculate unknown angles (including parallel lines)
 Unit conversions (including area)
 Area of a trapezium
 Areas and perimeters of composite figures

 Percentage increase and decrease, including multipliers
 Reverse percentage problems
 Ratio (equivalent, of a quantity) and rate
 Scaling and multipliers
 Speed, distance, time

 Use of significant figures and estimation
 Circumference and area of a circle
 Visualise and identify 3D shapes and their nets
 Volume of cuboid, prism, cylinder, composite solids
 Surface area

 Collect and organise data, including surveys
 Interpret and compare statistical representations
 Mean, median and mode averages
 The range and outliers

As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:

 Egyptian fractions
 Continued fractions
 HCF and LCM generalisation

 Explore nonlinear sequences
 Ttotals

 Similarity and ratio
 Complex constructions
 Simple angle proofs

 Density
 Area scale factors
 Loan repayment

 Platonic solids
 Percentage errors
 Plans and elevations

 Misleading graphs
 Equal width histograms
 Sampling methods

Year 9
Autumn 1
Graphs and proportion

Autumn 2
Algebraic expressions

Spring 1
2D geometry

Spring 2
Equations and inequalities

Summer 1
Statistics

Summer 2
Geometry

All should be confident and competent with Year 7 and 8 materials. Review of these prerequisites may be useful for each unit:

 Read scales
 Linear equations
 Proportion
 Percentage increase and decrease

 Make expressions
 Expressions and area
 Substitution
 Powers and roots
 Problem solving with a calculator

 Area and circumference
 Angles on lines and in triangles
 Angles in parallel lines
 Pie charts

 Linear graphs
 Sequences
 Manipulate formulae
 Problem solving with algebra

 FDP conversion
 Number problems with fractions and decimals
 Averages and the range
 Venn diagrams and twoway tables

 Compound areas
 Powers of 10 and standard form
 Problem solving with algebra

All will have access to this specific Key Stage 3 content:

 Cartesian coordinates including midpoint of a line segment
 Linear graphs
 Direct and inverse proportion
 Calculate with scales
 Standard form

 Sequences including arithmetic and geometric
 Expand binomials and factorise simple quadratics
 Change the subject of familiar formulae

 Construction and loci
 Congruence and similarity
 Pythagoras’ theorem
 Angles in polygons

 Construct and solve equations and inequalities (unknowns on both sides)
 Graphical solutions to simultaneous linear equations
 Quadratic and other graphs

 Probability
 Mean of grouped data
 Compare two data sets
 Scatter graphs

 Similarity and Enlargement’
 Transformations (translation, rotation, reflection)
 Exploring trigonometry

As well as looking at the termly projects, highest attaining students may be stretched through depth by consideration of the following:

 3D coordinates
 Explore linear and nonlinear graphs


 Geometrical proof
 Euclidean geometry
 3D Pythagoras
 Complex constructions

 Regions on graphs
 Linear programming
 Modelling

 Equations of lines of best fit
 Probability problems

 Further trigonometry
 Multiple transformations

Throughout Year 9
Approximation and significant figures
Addition, subtraction, multiplication and division with whole numbers, fractions and decimals
Percentage increase and decrease, finding the whole given the part and the percentage

Year 10
Autumn 1
Number

Autumn 2
Geometry

Spring 1
Reasoning

Spring 2
Geometry & number

Summer 1
Sampling & probability

Summer 2
Applications of algebra

All should be confident and competent in Key Stage 3 material. Review of these prerequisites may be useful for each unit:

 Calculate with fractions
 Convert and solve problems with fractions and percentages
 Review indices

 Ratio notation, links to vulgar fractions, decimals and percentages
 Reflection, rotation and translation
 Pythagoras’ theorem

 Algebraic notation and substitution, including kinematics formulae
 Angles and shapes
 Straightline graphs
 Equations and inequalities
 Rearranging formule

 Decimal calculations and rounding
 Units
 Area and perimeter of plane shapes, including composite shapes
 Congruence

 Sample spaces
 The probability scale
 Vulgar fractions, decimals and percentages

 Reallife graphs
 Deriving and using expressions, formulae and equations

All will be assessed on this specific Key Stage 4 content

 Calculations with and rules of indices
 Calculations with standard form
 Geometric change including compound interest, growth and decay
 Standard nonlinear sequences

 Enlargement
 Similar shapes
 Bearings
 Trigonometry in right angled triangles

 Algebraic arguments
 Geometric reasoning
 Equations of parallel lines
 Vectors

 Properties of 3D shapes; their plans and elevations
 Surface area and volume of pyramids, cones and spheres (including exact answers)
 Estimation and limits of accuracy
 Loci
 Geometric proof

 Populations and samples
 Theoretical and experimental probability
 Probability of combined events, including tree diagrams and use of Venn diagrams
 Sample spaces and listing

 Expand and factorise binomials
 Quadratic equations
 Cubic and reciprocal graphs
 Linear simultaneous equations
 Graphical solutions of equations

Highest attaining students will also be assessed on the following material, which provides good preparation for Key Stage 5

 Recurrence relations
 Surds
 Recurring decimals
 Fractional indices
 Quadratic sequences

 Negative scale factors of enlargement
 Combine transformatios
 3D trigonometry and Pythagoras’ theorem

 Vector proofs
 Trigonometry graphs
 Equations of perpendicular lines
 Further inequalities

 Similar areas and volumes
 Upper and lower bounds
 Trigonometry in all triangles


 Complete the square, quadratic formula, quadratic inequalities
 Further simultaneous equations
 Algebraic fractions
 Exponential graphs

Throughout KS4: Students will need to keep working on key skills as they occur within other topics, as well as when the skills are being explicitly addressed. These include: Addition, subtraction, multiplication and division; order of operations; fractions, decimals and percentages; rounding and estimation; and algebraic notation.

Year 11
Autumn 1
Algebra and geometry

Autumn 2
Number & statistics

Spring 1
Revision, extension 1

Spring 2
Revision, extension 2

Summer 1
Revision, extension 3

Summer 2
Examinations

All should be confident and competent in Key Stage 3 material. Review of these prerequisites may be useful for each unit:

 Ratio calculations
 Direct and inverse proportion
 Derive and use expressions, formulae and equations

 Simple statistical diagrams
 Averages and the range
 Solve number problems





All will be assessed on this specific Key Stage 4 content

 Arcs and sectors of circles
 Direct and inverse variation
 Proof in algebra and geometry

 Represent and describe distributions
 Identify misleading graphs
 Time series
 Correlation and lines of best fit
 Solve problems
 involving compound units





Highest attaining students will also be assessed on the following material, which provides good preparation for Key Stage 5

 Apply and prove circle theorems
 Equation of a circle and the tangent to a circle
 Variation with powers

 Histograms with equal and unequal class intervals
 Cumulative frequency graphs and box plots

 Functions and their inverses
 Composite functions
 Transformation of graphs

 Solve equations by Numerical methods
 Gradients of curves and areas under graphs



Throughout KS4: Students will need to keep working on key skills as they occur within other topics, as well as when the skills are being explicitly addressed. These
include: Addition, subtraction, multiplication and division; order of operations; fractions, decimals and percentages; rounding and estimation; and algebraic notation.
