MATHEMATICS LONG-TERM PLAN - Key Stage 3

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 7

Algebraic Thinking

- Sequences

- Understand and use algebraic notation

- Equality and equivalence

Place Value and Proportion

- Place Value and ordering

- Fractions, decimals and percentages

Application of Number

- Solving problems involving addition and subtraction

- Solving problems involving multiplication and division

- Fractions and percentages of amounts

Directed Number / Fractional Thinking

- Directed number

- Addition and subtraction of fractions

Lines and Angles

- Constructing, measuring and using geometric notation

- Develop geometric reasoning

Reasoning with Number

- Develop number sense 

- Sets and probability

- Prime numbers and proof

Year 8

Proportional Reasoning

- Ratio and scale

- Multiplicative change

- Multiplying and dividing fractions

Representations

- Working in the Cartesian plane

- Representing data

- Tables and probability

Algebraic Techniques

- Brackets, equations and inequalities

- Sequences

- Indices

Developing Number

- Fractions and percentages

- Standard index form

- Number sense

Developing Geometry

- Angles in parallel lines and polygons

- Area of trapezia and circles

- Line symmetry and reflections

Reasoning with Data

- The data handling cycle

- Measures of location

Year 9

Reasoning with Algebra

- Straight line graphs

- Forming and solving equations

- Testing conjectures

Constructing

- Three-dimensional shapes

Reasoning with Number

- Numbers

- Using percentages

- Maths and money

Reasoning with Geometry

- Deduction

- Pythagoras’ Theorem

Reasoning with Proportion

- Solving ratio and proportion problems

- Rates

- Probability

MATHEMATICS LONG-TERM PLAN - Key Stage 4/GCSE

Autumn 1

Autumn 2

Spring 1

Spring 2

Summer 1

Summer 2

Year 9 F

- Number 1 (types of number Inc. LCM, HCF, and product of primes)

- Algebra 2 (algebraic expressions Inc. substitution, expansion and factorisation)

- Geometry & Measures 1 (angles Inc. parallel lines, bearings and polygons)

- Statistics 1 (averages and range)

Year 9 H

- Number 1 (types of number Inc. multiples / factors / primes, laws of indices Inc. fraction and negative, standard form, and surds)

- Algebra 2 (expressions Inc. substitution, expansion, factorising, and algebraic fractions)

- Geometry & Measures 1 (angles Inc. parallel lines, polygons, and bearings, and circle theorems)

- Statistics 1 (data collection and sampling, averages and range Inc. grouped data, scatter diagrams and time series)

Year 10 F

- Number 2 (decimals Inc. estimation, upper & lower bounds)

- Geometry & Measures 2 (2D shapes - area and perimeter Inc. parts of a circle; arc, sector, segment)

- Algebra 2 (solve equations Inc. quadratics)

- Number 3 (fractions)

- Geometry & Measures 3 (transformations Inc. fraction sf; symmetry; similar shapes)

- Algebra 3 (formulae Inc. substitution; change of subject; distinguish equation, formula, expression, identity)

- Number 4 (percentages Inc. use of multiplier; compound interest)

- Statistics 2 (presenting data Inc. pie chart, scatter diagram, frequency polygon, time series)

- Geometry & Measures 4 (volume & surface area of 3D shapes Inc. sphere & pyramids)

- Algebra 4 (sequences Inc. geometric; nth term of linear sequence)

- Number 5 (ratio & proportion - direct and inverse)

- Algebra 5 (algebraic graphs - linear, quadratic, cubic and reciprocal)

Year 10 H

- Number 2 (fractions & decimals Inc. upper & lower bound calculations)

- Geometry & Measures 2 (2D shapes - perimeter & area including parts of circle; arc, sector, segment)

- Algebra 2 (linear equations & graphs Inc. algebraic & graphical solutions of linear simultaneous equations)

- Number 3 (percentages Inc. use of multiplier, exponential growth & decay; reverse percentages)

- Geometry & Measures 3 (transformations Inc. negative and fractional scale factor enlargement)

- Algebra 3 (formulae & sequences - substitution & transpose formulae; nth term of linear & quadratic sequences)

- Geometry & Measures 4 (trigonometry 1 Inc. Pythagoras’ Theorem & 3D shapes)

- Statistics 2 (statistical diagrams Inc. cumulative frequency & box plots; histograms)

- Geometry & Measures 5 (3D shapes - surface area & volume of prisms, pyramids & spheres and the frustum)

- Algebra 4 (algebraic graphs Inc. quadratic, cubic, reciprocal, exponential)

- Number 4 (ratio & proportion Inc. direct / inverse & graphs)

- Geometry & Measures 6 (loci, constructions and congruence)

Year 11 F

- Geometry & Measures 5 (measure Inc. compound; conversion of measure, graphs)

- Algebra 6 (inequalities- notation, on a line, solve)

- Number 6 (powers & roots Inc. rules for indices & standard form)

- Geometry & Measures 6 (Pythagoras’ Theorem and trigonometry)

- Statistics 3 (Probability)

- Geometry & Measures 7 (construction, loci, congruence)

- Algebra 7 (solve simultaneous equations - algebraic & graphical methods)

- Algebra 8 (vector geometry)

Revision for GCSE

Year 11 H

- Algebra 5 (inequalities Inc. graphical solutions)

- Statistics 3 (probability)

- Algebra 6 (further factorising quadratics Inc. completing the square; manipulate & simplify algebraic fractions)

- Geometry & Measures 7 (trigonometry 2 Inc. sine/cosine rule, trig graphs, area formula)

- Algebra 7 (solve quadratic equations Inc. factorising, completing the square, formula; equations with fractions)

- Geometry & Measures 8 (similar shapes Inc. length, area and volume)

- Algebra 8 (simultaneous equations – linear / quadratic equations; equation of circle; equation of tangent)

- Geometry & Measures 9 (vectors and solve geometric problems)

- Algebra 9 (transformation of functions Inc. trigonometric graphs)

Revision for GCSE