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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 non-calculator 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 (term-to- 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

2-D geometry

Spring 2

Proportional reasoning

Summer 1

3-D 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 3-D 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 non-linear sequences
  • T-totals
  • 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

2-D 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 two-way 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:

  • 3-D coordinates
  • Explore linear and non-linear graphs
  • Algebraic proof
  • Geometrical proof
  • Euclidean geometry
  • 3-D 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
  • Straight-line 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
  • Real-life 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 non-linear sequences
  • Enlargement
  • Similar shapes
  • Bearings
  • Trigonometry in right angled triangles
  • Algebraic arguments
  • Geometric reasoning
  • Equations of parallel lines
  • Vectors
  • Properties of 3-D 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
  • 3-D 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
  • Conditional probabiliy
  • 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
  • Review and revision
  • Review and revision
  • Review and revision
  • Review and revision

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
  • Review and revision
  • Review and revision
  • Review and revision
  • Review and revision

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
  • Review and revision
  • Review and revision

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.