The Cheadle Academy

SUBJECT INTENT

Subject = Mathematics

It is our mission at The Cheadle Academy to enable all students to enjoy and succeed in mathematics. Mathematics is a core subject that allows students to access all other curriculum areas, particularly science, geography and computing. We want students to think about mathematics beyond examinations and to be equipped with the skills, knowledge and understanding needed in their future studies and/or the world of work. It is crucial that students become mathematically literate to enable them to meet the demands of an ever-changing global landscape. Students who have the ability to analyse and interpret data will have the confidence to question information, news stories and statistics that they are exposed to on a daily basis in our modern world.

Our schemes of work have been designed and developed to provide students with a deep conceptual understanding of mathematics, the ability to communicate effectively using mathematical language, and the capacity to be mathematical thinkers.

The National Curriculum is the starting point for our curriculum but this is built upon and adapted specifically for our students. Key knowledge is made explicit, scaffolded and extended dependent on the needs of our students. Tasks are sequenced in a logical progression that allows students to establish connections, make comparisons, retrieve prior learning, and extend.

In Year 7 we have fully adopted the White Rose scheme of work as the base from which we collaboratively plan as a department. Careful consideration is given to the key objectives of each unit of the scheme of work, and we deliberately incorporate the five big ideas of mastery; fluency, variation, representation and structure, mathematical thinking, and coherence. This major development will continue into Year 8 (2020-21) and into Year 9 (2021-22).

The teaching of GCSE, both foundation and higher starts after Easter of Year 9. This is a tried and tested strategy that current members of the department have successfully trialed in other school(s). Students are re-motivated and focused in the summer term of Year 9 and all students have a full two years to complete the GCSE schemes of work with a little time in the summer term of Year 11 to revise.

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

Year 7 – Medium Term Overview

In Year 7 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Algebraic Thinking

KQFL:  Place Value and Proportion

KQFL:  Application of Number

KQFL:  Directed Number / Fractional Thinking

KQFL:  Lines and Angles

KQFL:  Reasoning with Number

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Exploring sequences

·       Understanding and using algebraic notation

·       Equality and equivalence

·       Place value and ordering

·       Fraction, decimal and percentage equivalence

·       Solving problems with addition and subtraction

·       Solving problems with multiplication and division

·       Fractions and percentages of amounts

·       Directed number

·       Fractional thinking

·       Constructing, measuring and using geometric notation

·       Develop geometric reasoning

·       Developing number sense

·       Sets and probability

·       Prime numbers and proof

Assessment:  Numeracy Baseline, Fortnightly Maths Tracker, End of Unit Tests, End of Term Assessments

Year 8 – Medium Term Overview

In Year 8 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Proportional Reasoning

KQFL:  Representations

KQFL:  Algebraic Techniques

KQFL:  Developing Number

KQFL:  Developing Geometry

KQFL:  Reasoning with Data

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Ratio and scale

·       Multiplicative change

·       Multiplying and dividing fractions

·       Working in the Cartesian plane

·       Representing data

·       Tables and probability

·       Brackets, equations and inequalities

·       Sequences

·       Indices

·       Fractions and percentages

·       Standard index form

·       Number sense

·       Angles in parallel lines and polygons

·       Area of trapezia and circles

·       Line symmetry and reflection

·       The data handling cycle

·       Measures of location

Assessment:  Fortnightly Maths Tracker, End of Unit Tests, End of Term Assessments

Year 9 – Medium Term Overview

In Year 9 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Reasoning with Algebra

KQFL:  Reasoning with Number

KQFL:  Reasoning with Geometry / Proportion

KQFL:  Representations

KQFL:  Number 1 / Algebra 1

KQFL:  Geometry & Measures 1 / Statistics 1

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Foundation

Substantive & Disciplinary Knowledge:

Foundation

·       Straight line graphs

·       Forming and solving equations

·       Testing conjectures

·       Numbers

·       Using percentages

·       Maths and money

·       Pythagoras’s Theorem

·       Solving ratio and proportion problems

·       Rates

·       Probability

·       Algebraic representation

·       Number in LCM, HCF, a number as a product of prime factors

·       Algebraic Expressions Inc. substitution, expansion and factorisation

Higher

·       Multiplies, factors, primes, laws of indices Inc. fraction and negative, standard form, surds

·       Expressions – substitution, expansion, factorising, algebraic fractions

·       Angles Inc. parallel lines, bearings and polygons

·       Averages and range Inc. stem and leaf diagrams

Higher

·       Angles Inc. parallel lines, polygons, bearings, circle theorems

·       Statistics Inc. data collection/sampling, averages and range Inc. stem and leaf, and grouped data, scatter diagrams, time series

Assessment:   Fortnightly Maths Tracker, End of Unit Tests, End of Term Assessments, GCSE past papers

Year 10 – Medium Term Overview (Foundation)

In Year 10 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Number 2 /

Geometry & Measures 2

KQFL:  Algebra 2 / Number 3

KQFL:  Geometry & Measures 3 / Algebra 3

KQFL:  Number 4 /

Statistics 2

KQFL:  Geometry & Measures 4 / Algebra 4

KQFL:  Number 5 / Algebra 5

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Decimals Inc. estimation, upper and lower bounds

·       2D shapes – area and perimeter Inc. parts of a circle (arc, sector, segment)

·       Solve equations Inc. quadratics

·       Fractions

·       Transformations (Inc. fraction of), symmetry, similar shapes

·       Formulae Inc. substitution, change of subject, distinguish equation, formulae, expression and identity

·       Percentages Inc. use of multiplier, compound interest

·       Presenting data Inc. pie chart, scatter diagram, frequency polygon, time series

·       Volume and surface area of 3D shapes Inc. sphere & pyramids

·       Sequences Inc. geometric, nth term of linear sequence

·       Ratio and proportion (direct and inverse)

·       Algebraic graphs – linear, quadratic, cubic and reciprocal

Assessment:   Fortnightly Maths Tracker (bottom set), End of Unit Tests, GCSE Past Papers

Year 10 – Medium Term Overview (Higher)

In Year 10 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Number 2 /

Geometry & Measures 2

KQFL:  Algebra 2 / Number 3

KQFL:  Geometry & Measures 3 / Algebra 3

KQFL:  Geometry & Measures 4 / Statistics 2

KQFL:  Geometry & Measures 5 / Algebra 4

KQFL:  Number 4 /

Geometry & Measures 6

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Fractions and decimals Inc. upper and lower bound calculations

·       2D shapes – perimeter and area including parts of a circle (arc, sector, segment)

·       Linear equations and graphs Inc. algebraic and graphical solution of linear simultaneous equations

·       Percentages Inc. use of multiplier (exponential growth and decay), reverse percentages

·       Transformations Inc. negative and fractions scale factor enlargement

·       Formulae and sequences – substitution and transpose formulae, nth term of a linear and quadratic sequences

·       Trigonometry 1 Inc. Pythagoras and 3D shapes

·       Statistical diagrams Inc. cumulative frequency and box plots, histograms

·       3D shapes – surface area and volume of prisms, pyramids and spheres, and the frustrum

·       Algebraic graphs Inc. quadratic, cubic, reciprocal, exponential

·       Ratio and proportion Inc. direct and inverse, and graphs

·       Loci, constructions and congruence

Assessment:   Fortnightly Maths Tracker (bottom set), End of Unit Tests, GCSE Past Papers

Year 11 – Medium Term Overview (Foundation)

In Year 11 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Geometry & Measures 5 / Algebra 6

KQFL:  Number 6 /

Geometry & Measures 6

KQFL:  Statistics 3 / Geometry & Measures 7

KQFL:  Algebra 7 / Algebra 8

KQFL:  Revision

GCSE Exams

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Measures Inc. compound, conversion of measure, graphs

·       Inequalities – notation, on a line, solve

·       Powers and roots Inc. rules for indices and standard form

·       Pythagoras’ Theorem and Trigonometry

·       Probability

·       Constructions, loci, congruence

·       Solve simultaneous equations – algebraic and graphical methods

·       Vector geometry

·       Revision based on QLA from both sets of mock exams

Assessment:   Fortnightly Maths Tracker (bottom set), End of Unit Tests, GCSE Past Papers

Year 11 – Medium Term Overview (Higher)

In Year 11 students will

Autumn 1

Autumn 2

Spring Term 1

Spring Term 2

Summer Term 1

Summer Term 2

KQFL:  Algebra 5 /

Statistics 3

KQFL:  Algebra 6 /

Geometry & Measures 7

KQFL:  Algebra 7 /

Geometry & Measures 8

KQFL:  Algebra 8 /

Geometry & Measures 9

KQFL:  Algebra 9 / Revision

GCSE Exams

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

Substantive & Disciplinary Knowledge:

·       Inequalities Inc. graphical solutions

·       Probability

·       Further factorising quadratics Inc. completing the square, manipulate and simplify algebraic fractions

·       Trigonometry 2 Inc. sine/cosine rule, trig graphs, area formulae

·       Solve quadratic equations Inc. factorising, completing the square, formula, equations with fractions

·       Similar shapes Inc. length, area and volume

·       Simultaneous equations – linear/quadratic equations, equation of a circle, equation of a tangent

·       Vectors in geometric problems

·       Transformation of functions Inc. trigonometric graphs

·       Revision based on QLA from both sets of mock exams

Assessment:   Fortnightly Maths Tracker (bottom set), End of Unit Tests, GCSE Past Papers