Mathematics
The Mathematics department intend to develop the application of mathematical concepts to promote independent enquiry and the enjoyment of learning mathematics through a variety of learning strategies and activities. We believe that mathematics should be taught in a way that promotes understanding alongside gaining key knowledge – explain less and question more!
Mathematics is a universal subject with applications in virtually every sphere of life. We plan our curriculum so that students gain knowledge of number, algebra, geometry, statistics, probability and ratio, proportion and rates of change. We embed units of work on financial knowledge to allow good choices to be made in regards to bank accounts, spending, budgets, and debt. Working alongside colleagues across the school, we intend to support knowledge and confidence in science, ICT, business, cooking, orienteering to name but a few.
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 everchanging 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 (202021) and into Year 9 (202122). 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 remotivated 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 LONGTERM 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  Threedimensional 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 LONGTERM 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

Key Stage 5
Students may progress to study A Level Maths. Students will study the AQA ALevel course in Mathematics. All examinations for ALevel Mathematics are at the end of year 13. There are three written papers each lasting 2 hours. Paper 1 is rooted in pure mathematics. Paper 2 can include any elements of the pure mathematics from paper 1 and also includes mechanics questions. Paper 3 also has any elements of pure mathematics from paper 1 and has statistics questions. Ideally students should achieve grade 7 or above at GCSE but consideration will be given to students with grade 6.
Click here for a link to the KS5 specification: https://www.aqa.org.uk/subjects/mathematics/asandalevel/mathematics7357/specificationataglance
Extracurricular opportunities
The department aims to offer students the opportunity to study outside of the classroom (where possible). Over the past 10 years the department has run several visits to Disneyland Paris, where students have gained insight into how mathematics is used in the real world in the context of an international tourist attraction.
We also have designated mathematics classrooms open most lunchtimes where students can drop in for help with homework.
Useful Websites