Mathematics

Burton Borough School - Mathematics Curriculum

We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society.

Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems.

Our maths curriculum is built on the following principles:

All our students are capable of being successful in mathematics, although their journeys to success may happen at different rates.
Mathematics is a hierarchical subject; to excel each building block needs to be secure, and regularly revisited.

Key Stage 3	Content	Skills
Year 7 – Planting acorns	Statistics - Analysing and displaying data Number - Basic skills, money, negative numbers, factors, multiples, powers, and roots Algebra - Expressions, functions, and formulae Number/ Geometry/ Ratio - Decimals and measures Number/ Ratio - Fractions Probability Ratio and Proportion Geometry - Lines and angles Algebra - sequences and graphs Geometry - Transformations	Underpinning Mathematical concepts developed Communication Resilience Problem solving Critical thinking
Year 8 – Settling roots	Number - Greater depth number skills Geometry - Area and volume Statistics – More graphs and charts Algebra - Expressions and equations Algebra - Real-life graphs Number/ Ratio and Proportion - Decimals and ratio Geometry - Lines and angles Number - Calculating with fractions Algebra/ Ratio - Straight-line graphs Number/ Ratio - Percentages, decimals, and fractions	Underpinning concepts further developed Mathematical reasoning developed Communication Resilience Problem solving Critical thinking
Year 9 – Sprouting seeds	Number - Indices and standard form Algebra - Expressions and formulae Statistics - Dealing with data Number/ Ratio - Multiplicative reasoning Geometry - Constructions Algebra/ Ratio - Sequences, inequalities, equations, and proportion Geometry/ Number - Circles, Pythagoras, and prisms Algebra - Graphs Probability Geometry -Comparing shapes	Links between topics developed and understanding consolidated Increased familiarity with command words Communication Resilience Problem solving Critical thinking
Key Stage 4 – GCSE Exam Board Edexcel
Y10 Foundation – Nurturing saplings	Number – recap and depth Algebra – recap and depth Statistics – Further graphs, tables and charts Number/ Ratio - Fractions and percentages Algebra - Equations, inequalities, and sequences Geometry – Further angles Statistics - Averages and range Geometry/ Number - Perimeter, area, and volume Algebra - Graphs Transformations Ratio and proportion Right-angled triangles Probability Multiplicative reasoning Constructions, loci and bearings	Students’ understanding further developed at the relevant level and new, more challenging topics introduced and cross-topic links further developed Exam technique developed – decoding questions Using a scientific calculator efficiently
Y10 Higher – Nurturing saplings	Number Algebra Interpreting and representing data Fractions, ratio, and proportion Angles and trigonometry Graphs Area and volume Transformations and constructions Equations and inequalities Probability Multiplicative reasoning Similarity and congruence More trigonometry Further statistics Equations and graphs	Students’ understanding further developed at the relevant level (Foundation or Higher) and new, more challenging topics introduced and cross-topic links further developed Exam technique developed
Y11 Foundation – Bearing fruit	Quadratic equations and graphs Perimeter, area, and volume Fractions, indices, and standard form Congruence, similarity, and vectors More algebra Revision and exam preparation	Students introduced to the most challenging concepts they need to master, and links between topic areas strengthened Exam technique further developed
Y11 Higher – Bearing fruit	Circle theorems More algebra Vectors and geometric proof Proportion and graphs Revision and exam preparation	Students introduced to the most challenging concepts they need to master, and links between topic areas strengthened Exam technique further developed

For more information regarding the Mathematics Curriculum please contact the Head of Department via our contact form

Curriculum Plan – Y7 Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 7	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	Algebraic Thinking Exploring sequences	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Spotting patterns pictorially and numerically Reasoning and problem solving Modelling and generalisation Abstract thinking
Week 2	Exploring sequences	Individualised SparxMaths
Week 3	Exploring sequences Understanding and using algebraic notation	Individualised SparxMaths
Week 4	Understanding and using algebraic notation	Individualised SparxMaths
Week 5	Understanding and using algebraic notation	Individualised SparxMaths
Week 6	Equality and equivalence	Individualised SparxMaths
Week 7	Equality and equivalence	Individualised SparxMaths
Week 8	Equality and equivalence	Individualised SparxMaths
Week 9	Place Value and Proportion Place value	Individualised SparxMaths	Awareness of decimal system and notation Fluency in conversion between FDP Ordering and comparing numbers in different forms Recognising and using subject specific notation Awareness of rounding and accuracy
Week 10	Place value	Individualised SparxMaths
Week 11	Ordering integers and decimals	Individualised SparxMaths
Week 12	Fraction, decimal and percentage equivalence	Individualised SparxMaths
Week 13	Fraction, decimal and percentage equivalence	Individualised SparxMaths
Week 14	Fraction, decimal and percentage equivalence	Individualised SparxMaths Revision list provided for Assessment Window 1
Week 15	Applications of Number Solving problems with addition and subtraction	Individualised SparxMaths	Interpreting and solving number problems Using numeracy skills in real-world contexts Using and interpreting charts and graphs Further generalisations and their use Mathematical reasoning
Week 16	Solving problems with addition and subtraction	Individualised SparxMaths
Week 17	Solving problems with addition and subtraction Solving problems with multiplication and division	Assessment Window 1 1 or 2 assessment(s), covering content taught to this point
Week 18	Solving problems with multiplication and division
Week 19	Solving problems with multiplication and division	Individualised SparxMaths
Week 20	Fractions and percentages of amounts	Individualised SparxMaths
Week 21	Feedback Feedback and closing the gap activities Fractions and percentages of amounts	Individualised SparxMaths
Week 22	Directed Number Operations and equations with directed number	Individualised SparxMaths	Deepening understanding of directed (negative) numbers, in context Recognising and using subject specific vocabulary Cross-curricular links (use of formulae)
Week 23	Operations and equations with directed number	Individualised SparxMaths
Week 24	Operations and equations with directed number Fractional Thinking Addition and subtraction of fractions	Individualised SparxMaths	Deepening understanding of equivalence Strategic thinking relating to abstract concepts
Week 25	Addition and subtraction of fractions	Individualised SparxMaths
Week 26	Addition and subtraction of fractions	Individualised SparxMaths
Week 27	Maths Week – themed enrichment activities	Individualised SparxMaths	Creativity within STEM Development of cross-curricular links
Week 28	Lines and Angles Constructing, measuring and using geometric notation	Individualised SparxMaths	Understanding of measures and turn Using a ruler and protractor Recognising subject specific notation Reasoning and sorting techniques Using a compass and ruler effectively Ability to communicate and reason effectively with mathematical language
Week 29	Constructing, measuring and using geometric notation	Individualised SparxMaths
Week 30	Constructing, measuring and using geometric notation	Individualised SparxMaths Revision list provided for Assessment Window 2
Week 31	Developing geometric reasoning	Individualised SparxMaths
Week 32	Developing geometric reasoning	Individualised SparxMaths
Week 33	Developing geometric reasoning	Assessment Window 2 1 or 2 assessment(s), covering content taught to this point
Week 34	Reasoning with Number Developing number sense		Extension of mental calculation strategies Understand the language of probability Read and interpret charts and tables Interpretation of information, forming conclusions and testing conjecture Critical thinking - understanding the need for proof and counterexamples
Week 35	Developing number sense	Individualised SparxMaths
Week 36	Sets and Probability	Individualised SparxMaths
Week 37	Feedback Feedback and closing the gap activities Sets and Probability	Individualised SparxMaths
Week 38	Prime Numbers and Proof	Individualised SparxMaths
Week 39	Prime Numbers and Proof	Individualised SparxMaths

Curriculum Plan – Y8 Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 8	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	Proportional Reasoning Ratio and scale	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Understanding of ratio and the link to fractions Understanding of proportion Forming connections between number relationships Interpreting multiple representations of ratio and proportion Complex problem solving and reasoning, in context Conversion, using maps and scales
Week 2	Ratio and scale	Individualised SparxMaths
Week 3	Ratio and scale Multiplicative change	Individualised SparxMaths
Week 4	Multiplicative change	Individualised SparxMaths
Week 5	Multiplicative change	Individualised SparxMaths
Week 6	Multiplying and dividing fractions	Individualised SparxMaths
Week 7	Multiplying and dividing fractions	Individualised SparxMaths
Week 8	Representations Working in the Cartesian plane	Individualised SparxMaths	Awareness of gradients and scales Developing graphical and algebraic fluency Drawing graphs Understanding correlation Categorising and analysing data Use of mathematical vocabulary and properties
Week 9	Working in the Cartesian plane	Individualised SparxMaths
Week 10	Working in the Cartesian plane	Individualised SparxMaths
Week 11	Representing Data	Individualised SparxMaths
Week 12	Representing Data	Individualised SparxMaths Revision list provided for Assessment Window 1
Week 13	Representing Data Tables and Probability	Individualised SparxMaths
Week 14	Tables and Probability	Individualised SparxMaths
Week 15	Algebraic Techniques Brackets, equations and Inequalities	Assessment Window 1 1 or 2 assessment(s), covering content taught to this point	Deepening knowledge and understanding of equivalence Mathematical modelling Understand and use standard mathematical formulae Formal notation for sequences and their generation Mathematical notation for powers
Week 16	Brackets, equations and Inequalities
Week 17	Brackets, equations and Inequalities	Individualised SparxMaths
Week 18	Brackets, equations and Inequalities	Individualised SparxMaths
Week 19	Feedback Feedback and closing the gap activities Sequences	Individualised SparxMaths
Week 20	Sequences	Individualised SparxMaths
Week 21	Indices	Individualised SparxMaths
Week 22	Indices	Individualised SparxMaths
Week 23	Developing Number Fractions and Percentages	Individualised SparxMaths	Percentage increase and decrease Financial mathematics – profit, loss, interest Scientific notation Conversion of units Problem solving in context
Week 24	Fractions and Percentages	Individualised SparxMaths
Week 25	Standard index form	Individualised SparxMaths
Week 26	Number sense	Individualised SparxMaths
Week 27	Maths Week – themed enrichment activities	Individualised SparxMaths Revision list provided for Assessment Window 2	Creativity within STEM Development of cross-curricular links
Week 28	Developing Geometry Angles in parallel lines and polygons	Individualised SparxMaths	Constructions and their use Geometric reasoning and proof Derivation of angle facts Strategic thinking and reasoning Mathematical communication and key vocabulary
Week 29	Angles in parallel lines and polygons	Individualised SparxMaths
Week 30	Angles in parallel lines and polygons Area of trapezia and circles	Assessment Window 2 1 or 2 assessment(s), covering content taught to this point
Week 31	Area of trapezia and circles
Week 32	Area of trapezia and circles	Individualised SparxMaths
Week 33	Lines of symmetry and reflection	Individualised SparxMaths
Week 34	Feedback Feedback and closing the gap activities Lines of symmetry and reflection	Individualised SparxMaths
Week 35	Reasoning with Data The data handling cycle	Individualised SparxMaths	Drawing and interpreting charts and graphs Comparing data The data handling cycle Averages Understanding the effect of outliers Critical thinking and evaluation
Week 36	The data handling cycle	Individualised SparxMaths
Week 37	The data handling cycle	Individualised SparxMaths
Week 38	Measures of location	Individualised SparxMaths
Week 39	Measures of location	Individualised SparxMaths

Curriculum Plan – Y9 Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 9	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	Reasoning with Algebra Straight line graphs	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Graphical skills in both abstract and real-life scenarios Interpret mathematical relationships Generalisation, modelling and forming equations Rearrangement of formulae Higher order reasoning Making and testing simple conjectures
Week 2	Straight line graphs	Individualised SparxMaths
Week 3	Straight line graphs Forming and solving equations	Individualised SparxMaths Revision list provided for Assessment Window 1
Week 4	Forming and solving equations	Individualised SparxMaths
Week 5	Forming and solving equations	Individualised SparxMaths
Week 6	Testing conjectures	Assessment Window 1 2 assessments, one non-calculator, one calculator allowed, covering content taught to this point
Week 7	Testing conjectures
Week 8	Testing conjectures Constructing in 2 and 3 Dimensions Three-dimensional shapes	Individualised SparxMaths	Mathematical vocabulary and language Analysis of numbers, expressions and shapes Properties of shapes Perimeter, area and volume Practical mathematics – constructions, loci, scale drawing Use of mathematical equipment, ruler, protractor, compass
Week 9	Three-dimensional shapes	Individualised SparxMaths
Week 10	Feedback Feedback and closing the gap activities Three-dimensional shapes	Individualised SparxMaths
Week 11	Three-dimensional shapes Constructions and congruency	Individualised SparxMaths
Week 12	Constructions and congruency	Individualised SparxMaths
Week 13	Constructions and congruency	Individualised SparxMaths
Week 14	Constructions and congruency	Individualised SparxMaths
Week 15	Reasoning with Number Numbers	Individualised SparxMaths	Further knowledge of the number system Use of percentages Financial mathematics Contextual problem solving Interpretation and strategic thinking
Week 16	Numbers
Week 17	Using percentages	Individualised SparxMaths
Week 18	Using percentages	Individualised SparxMaths
Week 19	Maths and money	Individualised SparxMaths
Week 20	Maths and money	Individualised SparxMaths Revision list provided for Assessment Window 2
Week 21	Reasoning with Geometry Deduction	Individualised SparxMaths	More complex problem solving and reasoning Mathematical conventions: terms and notations Understanding of symmetry Exploration of Pythagoras’ Theorem
Week 22	Rotation and translation	Individualised SparxMaths
Week 23	Pythagoras’ Theorem	Assessment Window 2 2 assessments, one non-calculator, one calculator allowed, covering content taught to this point
Week 24	Reasoning with Proportion Enlargement and similarity		Mathematical language and properties of shapes Understanding of multiplicative relationships
Week 25	Enlargement and similarity	Individualised SparxMaths
Week 26	Enlargement and similarity	Individualised SparxMaths
Week 27	Maths Week – enrichment activities Feedback Feedback and closing the gap activities	Individualised SparxMaths	Creativity within STEM Development of cross-curricular links
Week 28	Solving ratio and proportion problems	Individualised SparxMaths	Problem solving with ratio and proportion Assessing value for money Compound units; speed, density, unit pricing Unit conversions
Week 29	Solving ratio and proportion problems	Individualised SparxMaths
Week 30	Solving ratio and proportion problems Rates	Individualised SparxMaths
Week 31	Rates	Individualised SparxMaths
Week 32	Rates	Individualised SparxMaths
Week 33	Representations and Revision Probability	Individualised SparxMaths	Probabilities of single and combined events Randomness, bias, fairness Theoretical and experimental results Explore non-linear graphs Introduction to graphical inequalities
Week 34	Probability	Individualised SparxMaths
Week 35	Probability	Individualised SparxMaths
Week 36	Algebraic representation	Individualised SparxMaths
Week 37	Algebraic representation	Individualised SparxMaths
Week 38	Revision	Individualised SparxMaths
Week 39	Revision	Individualised SparxMaths

Curriculum Plan – Y10 Foundation GCSE Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 10 Foundation	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	1 Number 1.1 Calculations 1.2 Decimal numbers 1.3 Place value	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Exploration of different calculation strategies and methods Mental maths Working with money Order of operations Number properties Problem solving in context Mathematical communication
Week 2	1 Number 1.4 Factors and multiples 1.5 Squares, cubes and roots 1.6 Index notation 1.7 Prime factors	Individualised SparxMaths
Week 3	2 Algebra 2.1 Algebraic expressions 2.2 Simplifying expressions 2.3 Substitution 2.4 Formulae	Individualised SparxMaths	Use conventional mathematical notation and vocabulary Recognise and use relationships between operations Substitute into formulae Interpret and manipulate algebraic expressions and equations
Week 4	2.5 Expanding brackets 2.6 Factorising 2.7 Using expressions and formulae	Individualised SparxMaths
Week 5	3 Graphs, tables and charts 3.1 Frequency tables 3.2 Two-way tables	Individualised SparxMaths	Drawing, reading and interpreting scales, graphs and charts Critical evaluation of given data Data collection techniques Choice of presentation for given data Averages with tables and charts
Week 6	3.3 Representing data 3.4 Time series 3.5 Stem and leaf diagrams	Individualised SparxMaths
Week 7	3.6 Pie charts 3.7 Scatter graphs 3.8 Line of best fit	Individualised SparxMaths
Week 8	4 Fractions and percentages 4.1 Working with fractions 4.2 Operations with fractions	Individualised SparxMaths	Convert between fractions, decimals and percentages Compare fractions, decimals and percentages Use the 4 operations with fractions Find fractions and percentages of amounts Financial maths; VAT, profit and loss, interest, income tax Problem solving in context; rates of pay, number of people etc.
Week 9	4.3 Multiplying fractions 4.4 Dividing fractions 4.5 Fractions and decimals	Individualised SparxMaths
Week 10	4.6 Fractions and percentages 4.7 Calculating percentages 1 4.8 Calculating percentages 2	Individualised SparxMaths Revision list provided for Assessment Window 1
Week 11	5 Equations, inequalities and sequences 5.1 Solving equations 1 5.2 Solving equations 2 5.3 Solving equations with brackets	Individualised SparxMaths	Understand the concepts, notation and vocabulary of algebraic representations Select appropriate degrees of accuracy Form and interpret simple expressions and equations Use and interpret mathematical notation for inequalities Generate terms of a sequence Deduce expressions to generalise sequences
Week 12	5.4 Introducing inequalities 5.5 More inequalities 5.6 Using formulae	Individualised SparxMaths
Week 13	5.7 Generating sequences 5.8 Using the nth term of a sequence Assessment Window 1 Some lesson time dedicated to retrieval/ revision	Assessment Window 1 1 non-calculator and 1 calculator allowed assessment (covering content taught to this point)
Week 14
Week 15	6 Angles 6.1 Properties of shapes 6.2 Angles in parallel lines 6.3 Angles in triangles	Individualised SparxMaths	Understand and use conventional terms and notation Know and apply angle facts Communicate mathematically, using geometric reasoning Solve geometric problems, including multi-step
Week 16	6.4 Exterior and interior angles 6.5 More exterior and interior angles 6.6 Geometrical problems	Individualised SparxMaths
Week 17	Feedback Feedback and closing the gap activities 7 Averages and range 7.1 Mean and range 7.2 Mode, median and range	Individualised SparxMaths	Interpret and construct charts, diagrams and tables Understand the limitations of sampling Interpret, analyse and compare distributions of data sets
Week 18	7.3 Types of average 7.4 Estimating the mean 7.5 Sampling	Individualised SparxMaths
Week 19	8 Perimeter, area and volume 1 8.1 Rectangles, parallelograms and triangles 8.2 Trapezia and changing units 8.3 Area of compound shapes	Individualised SparxMaths	Estimate answers and understand limitations Use standard units of measure, conversions, and related concepts (perimeter, area, volume) Identify, name and sketch nets of common solids
Week 20	8.4 Surface area of 3D solids 8.5 Volume of prisms 8.6 More volume and surface area	Individualised SparxMaths
Week 21	9 Graphs 9.1 Coordinates 9.2 Linear graphs 9.3 Gradient	Individualised SparxMaths	Use standard units of measure e.g time, speed, capacity Solve geometrical problems on coordinate grids Draw, scale and label axes Understand and interpret gradient Interpret abstract and real life graphs
Week 22	9.4 y = mx + c 9.5 Real-life graphs 9.6 Distance-time graphs	Individualised SparxMaths
Week 23	9.7 More real-life graphs 10 Transformations 10.1 Translation 10.2 Reflection 10.3 Rotation	Individualised SparxMaths	Interpret graphs for conversion, rates of flow etc. Understand multiplicative relationships between shapes Use conventional notation and terms Identify, construct and describe shapes and movements on coordinate grids
Week 24	10.4 Enlargement 10.5 Describing enlargements 10.6 Combining transformations	Individualised SparxMaths
Week 25	11 Ratio and proportion 11.1 Writing ratios 11.2 Using ratios 1 11.3 Ratios and measures	Individualised SparxMaths Revision list provided for Year 10 Mocks (Non-calculator and calculator lists)	Writing and interpreting ratios describing situations Using ratios to find unknowns Problem solving using ratios Drawing conclusions mathematically Convert between currencies, scale up recipes and understand proportion
Week 26	11.4 Using ratios 2 11.5 Comparing using ratios	Individualised SparxMaths
Week 27	11.6 Using proportion 11.7 Proportion and graphs 11.8 Proportion problems	Individualised SparxMaths
Week 28	Year 10 Mock Exams Lesson time dedicated to retrieval/ revision	Year 10 Mock Exams (full set of 3 GCSE style papers – 1 non-calculator and 2 calculator allowed)
Week 29
Week 30	12 Right-angled triangles 12.1 Pythagoras' theorem 1 12.2 Pythagoras' theorem 2	Individualised SparxMaths	Justify whether a triangle is right angled or not Understand, recall and use the sine, cosine and tangent ratios Problem solving using trigonometry, including angles of elevation and multistep problems with combined triangles Use Pythagoras’ Theorem and trigonometry together
Week 31	12.3 Trigonometry: the sine ratio 1 12.4 Trigonometry: the sine ratio 2 12.5 Trigonometry: the cosine ratio	Individualised SparxMaths
Week 32	Feedback Feedback and closing the gap activities 12.6 Trigonometry: the tangent ratio 12.7 Finding lengths and angles using trigonometry	Individualised SparxMaths
Week 33	13 Probability 13.1 Calculating probability 13.2 Two events 13.3 Experimental probability 13.4 Venn diagrams	Individualised SparxMaths	Apply systematic listing strategies Record, describe and analyse probability data Construct, use and interpret tables, grids, and Venn diagrams
Week 34	13.5 Tree diagrams 13.6 More tree diagrams 14 Multiplicative reasoning 14.1 Percentages	Individualised SparxMaths	Construct and use tree diagrams to calculate probabilities of independent and dependent combined events happening or not happening Express numbers as percentages of each other
Week 35	14.2 Growth and decay 14.3 Compound measures 14.4 Distance, speed and time 14.5 Direct and inverse proportion	Individualised SparxMaths	Calculate percentage profit or loss Make calculations involving repeated percentage change Find the original amount given the final amount after a percentage increase or decrease Use compound interest Use a variety of measures in ratio and proportion problems Set up, solve and interpret the answers in growth and decay problems
Week 36	15 Constructions, loci and bearings 15.1 3D solids 15.2 Plans and elevations 15.3 Accurate drawings 1 15.4 Scale drawings and maps	Individualised SparxMaths	Describe, measure and draw line segments, circles, arcs, angles, 2-D and 3-D shapes Understand and draw elevations Identify and sketch lines of symmetry Use a straight edge and compass to do standard constructions Draw, use and interpret scale drawings Understand, use and interpret bearings, including to solve problems
Week 37	15.5 Accurate drawings 2 15.6 Constructions 15.7 Loci and regions 15.8 Bearings	Individualised SparxMaths
Week 38	Work Experience
Week 39	Work Experience

Curriculum Plan – Y10 Higher GCSE Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 10 Higher	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	1 Number 1.1 Number problems and reasoning 1.2 Place value and estimating 1.3 HCF and LCM 1.4 Calculating with powers (indices)	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Round to given degrees of accuracy Estimate answers to complex calculations Understand and apply the product rule for counting Identify and use factors, primes and multiples in problem solving and contextual questions Interpret and use index notation Solve problems involving index laws Use, convert and operate with numbers in standard form Use, simplify and operate with numbers in surd form
Week 2	1.5 Zero, negative and fractional indices 1.6 Powers of 10 and standard form 1.7 Surds	Individualised SparxMaths
Week 3	2 Algebra 2.1 Algebraic indices 2.2 Expanding and factorising 2.3 Equations	Individualised SparxMaths	Use, interpret, simplify, manipulate and solve algebraic expressions and equations, both linear and quadratic Use and substitute formulae from mathematics and other subjects Recognise, use, interpret and generate linear, quadratic and geometric sequences Solve problems involving sequences from real life situations
Week 4	2.4 Formulae 2.5 Linear sequences 2.6 Non-linear sequences	Individualised SparxMaths
Week 5	2.7 More expanding and factorising 3 Interpreting and representing data 3.1 Statistical diagrams 1 3.2 Time series	Individualised SparxMaths	Calculate or estimate the mean, mode, median and range of a data set, including for grouped data Draw and interpret stem and leaf diagrams, dual bar charts, frequency polygons, scatter graphs, pie charts and time series graphs Know which charts are appropriate for a given data set Compare data sets, trends and distributions
Week 6	3.3 Scatter graphs 3.4 Line of best fit 3.5 Averages and range 3.6 Statistical diagrams 2	Individualised SparxMaths
Week 7	4 Fractions, ratio and percentages 4.1 Fractions 4.2 Ratios 4.3 Ratio and proportion	Individualised SparxMaths	Confidently use the 4 operations with fractions Use ratios to describe situations, and to calculate unknown values given one part, the whole, or a difference Convert between currencies Convert fluently between fractions, decimals and percentages Convert recurring decimals to fractions Calculate with percentages; percentage of amount, percentage change, tax, reverse percentages, compound changes
Week 8	4.4 Percentages 4.5 Fractions, decimals and percentages	Individualised SparxMaths
Week 9	5 Angles and trigonometry 5.1 Angle properties of triangles and quadrilaterals 5.2 Interior angles of a polygon 5.3 Exterior angles of a polygon	Individualised SparxMaths	Classify quadrilaterals Calculate, justify and use angle facts in polygons and in parallel lines Apply geometrical reasoning to problems Justify whether a triangle is right angled or not Understand, recall and use the sine, cosine and tangent ratios Problem solving using trigonometry, including angles of elevation and multistep problems with combined triangles Use Pythagoras’ Theorem and trigonometry together
Week 10	5.4 Pythagoras’ theorem 1 5.5 Pythagoras’ theorem 2	Individualised SparxMaths Revision list provided for Assessment Window 1
Week 11	5.6 Trigonometry 1 5.7 Trigonometry 2	Individualised SparxMaths
Week 12	6 Graphs 6.1 Linear graphs 6.2 More linear graphs	Individualised SparxMaths	Draw and interpret straight-line graphs for real-life situations, including ready reckoner graphs, conversion graphs, fuel bills, fixed charge and cost per item; Draw distance–time and velocity–time graphs; Use graphs to calculate various measures (of individual sections), including: unit price (gradient), average speed, distance, time, acceleration; including using enclosed areas by counting squares or using areas of trapezia, rectangles and triangles; Find lengths, midpoints, and coordinates of points identified by geometrical information. Find the equation of the line through two given points. Recognise, plot, interpret and analyse information relating to linear and non-linear graphs, including cubic, reciprocal and circular graphs
Week 13	Assessment Window 1 Some lesson time dedicated to retrieval/ revision 6.3 Graphing rates of change 6.4 Real-life graphs	Assessment Window 1 1 non-calculator and 1 calculator allowed assessment (covering content taught to this point)
Week 14
Week 15	6.5 Line segments 6.6 Quadratic graphs	Individualised SparxMaths
Week 16	6.7 Cubic and reciprocal graphs 6.8 More graphs	Individualised SparxMaths
Week 17	Feedback Feedback and closing the gap activities 7 Area and volume 7.1 Perimeter and area 7.2 Units and accuracy 7.3 Prisms 7.4 Circles 7.5 Sectors of circles	Individualised SparxMaths	Calculate the perimeter, area or missing dimensions in quadrilaterals, compound shapes and part of whole circles Give answers to an appropriate degree of accuracy, or in terms of pi Calculate the upper and lowers bounds of numbers, expressions and calculations given to varying degrees of accuracy; Find the volume or surface area of prisms Convert between metric measures of volume and capacity Find the volume and surface area of a cylinder, pyramid, sphere or cone Solve problems involving more complex shapes and solids, including segments of circles and frustums of cones
Week 18	7.6 Cylinders and spheres 7.7 Pyramids and cones	Individualised SparxMaths
Week 19	8 Transformations and constructions 8.1 3D solids 8.2 Reflection and rotation 8.3 Enlargement 8.4 Transformations and combinations of different transformations	Individualised SparxMaths	Understand multiplicative relationships between shapes Use conventional notation and terms Identify, construct and describe shapes and movements on coordinate grids Describe and transform 2D shapes using combined rotations, reflections, translations, or enlargements Describe the changes and invariance achieved by combinations of rotations, reflections and translations Draw, use and interpret scale drawings Understand, use and interpret bearings, including to solve problems Use a straight edge and compass to do standard constructions
Week 20	8.5 Scale drawings and bearings 8.6 Constructions 1 8.7 Constructions 2	Individualised SparxMaths
Week 21	8.8 Loci 9 Equations and inequalities 9.1 Solving linear inequalities 9.2 Solving quadratic equations 1 9.3 Solving quadratic equations 2	Individualised SparxMaths	Find and describe regions satisfying a combination of loci, including in 3D Solve linear inequalities, represent them pictorially and identify integer solutions Factorise quadratic expressions in the form ax2 + bx + c Set up and solve quadratic equations Solve quadratic equations by factorisation, using the quadratic formula and by completing the square Find the exact solutions of two simultaneous equations in two unknowns Set up and solve a pair of linear simultaneous equations in two variables, including to represent a situation Interpret the solution in the context of the problem
Week 22	9.4 Completing the square 9.5 Solving simple simultaneous equations 9.6 More simultaneous equations	Individualised SparxMaths
Week 23	9.7 Solving linear and quadratic simultaneous equations 10 Probability 10.1 Combined events 10.2 Mutually exclusive events 10.3 Experimental probability	Individualised SparxMaths	Solve two simultaneous equations: linear / quadratic; linear / circular Apply systematic listing strategies Record, describe and analyse probability data Construct and use tree diagrams to calculate probabilities of independent and dependent combined events happening or not happening Understand and calculate conditional probabilities Construct, use and interpret tables, grids, and Venn diagrams Use union and intersection notation
Week 24	10.4 Independent events and tree diagrams 10.5 Conditional probability 10.6 Venn diagrams and set notation	Individualised SparxMaths
Week 25	11 Multiplicative reasoning 11.1 Growth and decay 11.2 Compound measures 11.3 More compound measures	Individualised SparxMaths Revision list provided for Year 10 Mocks (Non-calculator and calculator lists)	Understand, use and calculate repeated percentage changes (e.g. compound interest and depreciation) Understand, use and convert compound measures
Week 26	11.4 Ratio and proportion 12 Similarity and congruence 12.1 Congruence 12.2 Geometric proof and congruence	Individualised SparxMaths	Express multiplicative relationships using fractions or ratio Set up and use equations to solve word and other problems involving direct and inverse proportion Relate algebraic solutions to graphical representation of the equations. Understand, use and prove the congruence of triangles using formal arguments Solve angle problems by first proving congruence Understand similarity of triangles and of other plane shapes, and use this to make geometric inferences Use formal geometric proof for the similarity of two given triangles Understand the effect of enlargement on angles, perimeter, area and volume of shapes and solids Know and apply the relationships between linear, area and volume scale factors of mathematically similar shapes and solids
Week 27	12.3 Similarity 12.4 More similarity 12.5 Similarity in 3D solids	Individualised SparxMaths
Week 28	Year 10 Mock Exams Lesson time dedicated to retrieval/ revision	Year 10 Mock Exams (full set of 3 GCSE style papers – 1 non-calculator and 2 calculator allowed)
Week 29
Week 30	13 More trigonometry 13.1 Accuracy 13.2 Graph of the sine function 13.3 Graph of the cosine function 13.4 Graph of the tangent function	Individualised SparxMaths	Understand, apply and calculate using upper and lower bounds Recognise, sketch and interpret graphs of trigonometric functions Understand, interpret and sketch the transformation of trigonometric functions graphically Know and apply the formula for area of a triangle using sine, the sine and cosine rules, and use them to solve 2D and 3D problems
Week 31	13.5 Calculating areas and the sine rule 13.6 The cosine rule and 2D trigonometric problems 13.7 Solving problems in 3D	Individualised SparxMaths
Week 32	Feedback Feedback and closing the gap activities 13.8 Transforming trigonometric graphs 1 13.9 Transforming trigonometric graphs 2	Individualised SparxMaths
Week 33	14 Further statistics 14.1 Sampling 14.2 Cumulative frequency 14.3 Box plots	Individualised SparxMaths	Understand sampling techniques and their reliability Construct, interpret and compare distributions using cumulative frequency graphs, box plots and histograms
Week 34	14.4 Drawing histograms 14.5 Interpreting histograms 14.6 Comparing and describing distributions	Individualised SparxMaths
Week 35	15 Equations and graphs 15.1 Solving simultaneous equations graphically 15.2 Representing inequalities graphically	Individualised SparxMaths	Use the intersection of graphs to find approximate solutions to simultaneous equations Plot inequalities graphically and identify regions of interest Sketch graphs of quadratic functions, by factorising or by using the formula, identifying roots, y-intercept and turning point by completing the square Solve quadratic inequalities in one variable, by factorising and sketching the graph to find critical values Sketch graphs of simple cubic functions Use iteration with simple converging sequences
Week 36	15.3 Quadratic equations 15.4 Using quadratic graphs	Individualised SparxMaths
Week 37	15.5 Cubic equations 15.6 Using iteration to solve equations	Individualised SparxMaths
Week 38	Work Experience
Week 39	Work Experience

Curriculum Plan – Y11 Foundation GCSE Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 11 Foundation	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	16 Quadratic equations and graphs 16.1 Expanding double brackets 16.2 Plotting quadratic graphs 16.3 Using quadratic graphs	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Multiply together two algebraic expressions with brackets Generate points and plot graphs of quadratic functions Find approximate solutions to quadratic equations using a graph Identify and interpret roots, intercepts and turning points of quadratic graphs Factorise quadratic expressions of various forms Solve quadratic equations by factorising
Week 2	16.4 Factorising quadratic expressions 16.5 Solving quadratic equations algebraically	Individualised SparxMaths
Week 3	17 Perimeter, area and volume 2 17.1 Circumference of a circle 1 17.2 Circumference of a circle 2 17.3 Area of a circle 17.4 Semicircles and sectors	Individualised SparxMaths	Recall the definition of a circle and identify, name and draw parts of a circle Recall and use formulae for the circumference of a circle and the area enclosed by a circle, including in composite shapes Calculate arc lengths, angles and areas of sectors of circles Find the surface area and volume of cylinders, spheres, pyramids, cones and composite solids
Week 4	17.5 Composite 2D shapes and cylinders 17.6 Pyramids and cones 17.7 Spheres and composite solids	Individualised SparxMaths
Week 5	18 Fractions, indices and standard form 18.1 Multiplying and dividing fractions 18.2 The laws of indices	Individualised SparxMaths	Add and subtract mixed numbers Use index laws to simplify and calculate the value of numerical expressions Convert large and small numbers into standard form and vice versa Add, subtract, multiply and divide numbers in standard form
Week 6	18.3 Writing large numbers in standard form 18.4 Writing small numbers in standard form 18.5 Calculating with standard form	Individualised SparxMaths
Week 7	19 Congruence, similarity and vectors 19.1 Similarity and enlargement 19.2 More similarity 19.3 Using similarity	Individualised SparxMaths	Identify shapes which are similar Make geometric inferences, and solve angle problems using similarity Identify the scale factor of an enlargement Understand the effect of enlargement on perimeter of shapes Solve problems to find missing lengths in similar shapes
Week 8	Lesson time dedicated to retrieval/ revision	Year 11 Mock Exams (full set of 3 GCSE style papers – 1 non-calculator and 2 calculator allowed)
Week 9	Lesson time dedicated to retrieval/ revision
Week 10	19.4 Congruence 1 19.5 Congruence 2	Individualised SparxMaths & Paper based GCSE style questions/ papers	Use the basic congruence criteria for triangles (SSS, SAS, ASA and RHS) Solve angle problems involving congruence Understand and use column notation in relation to vectors Calculate using column vectors, and represent graphically, the sum of two vectors, the difference of two vectors and a scalar multiple of a vector.
Week 11	19.6 Vectors 1 19.7 Vectors 2	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 12	Feedback Feedback and closing the gap activities	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 13	20 More algebra 20.1 Graphs of cubic and reciprocal functions 20.2 Non-linear graphs	Individualised SparxMaths & Paper based GCSE style questions/ papers	Recognise, sketch and interpret graphs of simple cubic and reciprocal functions Write and solve simultaneous equations algebraically and graphically Change the subject of a formula involving the use of square roots and squares Answer ‘show that’ questions using consecutive integers, squares, even and odd numbers
Week 14	20.3 Solving simultaneous equations graphically 20.4 Solving simultaneous equations algebraically	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 15	20.5 Rearranging formulae 20.6 Proof	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 16	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 17	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 18	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 19	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 20	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 21	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 22	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 23	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 24	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 25	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 26	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 27	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 28	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 29	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
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Curriculum Plan – Y11 Higher GCSE Maths (Edexcel)
Intent We teach mathematics to develop understanding, and to support students to become numerate, inquisitive, and resilient members of society. Mathematics is a common language used across the globe to explain the world, and confident mathematicians have a wonderful ability to solve problems and think deeply about strategies and approaches to problems. Our maths curriculum is built on the following principles: All of our students are capable of achieving well in mathematics, although their journeys to success may happen at different rates. Mathematics is a hierarchical subject; to achieve well each building block needs to be secure, and regularly revisited.
Year 11 Higher	Subject Content	Homework and Assessments	Subject Skills and 21^st Century Soft Skills
Week 1	16 Circle theorems 16.1 Radii and chords 16.2 Tangents 16.3 Angles in circles 1	Individualised SparxMaths tasks linked to current learning and retrieval of prior knowledge	Find the equation of a tangent to a circle at a given point Recall and use all circle theorems to find unknown angles, with justifications Prove circle theorems
Week 2	16.4 Angles in circles 2 16.5 Applying circle theorems	Individualised SparxMaths
Week 3	17 More algebra 17.1 Rearranging formulae 17.2 Algebraic fractions	Individualised SparxMaths	Change the subject of a formula, including cases where the subject occurs on both sides of the formula, or where a power of the subject appears Simplify, multiply and divide algebraic fractions Solve quadratic equations arising from algebraic fraction equations; Solve ‘Show that’ and proof questions using consecutive integers, squares, even and odd numbers Rationalise the denominator involving surd expressions Understand and use function notation, including composite and inverse functions, and problem solving with functions
Week 4	17.3 Simplifying algebraic fractions 17.4 More algebraic fractions	Individualised SparxMaths
Week 5	17.5 Proof	Individualised SparxMaths
Week 6	17.6 Surds 17.7 Solving algebraic fraction equations	Individualised SparxMaths
Week 7	17.8 Functions	Individualised SparxMaths
Week 8	Lesson time dedicated to retrieval/ revision	Year 11 Mock Exams (full set of 3 GCSE style papers – 1 non-calculator and 2 calculator allowed)
Week 9	Lesson time dedicated to retrieval/ revision
Week 10	18 Vectors and geometric proof 18.1 Vectors and vector notation 18.2 Vector arithmetic 18.3 More vector arithmetic	Individualised SparxMaths & Paper based GCSE style questions/ papers	Understand and use vector notation, including column notation Calculate the resultant of two vectors Solve geometric problems in 2D where vectors are divided in a given ratio Produce geometrical proofs to prove points are collinear and vectors/lines are parallel
Week 11	18.4 Parallel vectors and collinear points 18.5 Solving geometric problems	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 12	Feedback Feedback and closing the gap activities	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 13	19 Proportion and graphs 19.1 Direct proportion 19.2 More direct proportion 19.3 Inverse proportion	Individualised SparxMaths & Paper based GCSE style questions/ papers	Set up and use equations to solve word and other problems involving direct or inverse proportion Solve problems involving proportion using graphs by plotting and reading values from graphs Recognise, sketch and interpret reciprocal and exponential graphs Estimate area under a quadratic or other graph by dividing it into trapezia Interpret the gradient of linear or non-linear graphs, and estimate the gradient of a quadratic or non-linear graph at a given point by sketching the tangent and finding its gradient Interpret and analyse transformations of graphs of functions and write the functions algebraically
Week 14	19.4 Exponential functions 19.5 Non-linear graphs	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 15	19.6 Translating graphs of functions 19.7 Reflecting graphs of functions	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 16	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 17	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 18	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 19	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 20	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 21	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 22	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 23	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 24	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 25	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 26	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 27	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 28	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
Week 29	Retrieval and exam practice	Individualised SparxMaths & Paper based GCSE style questions/ papers
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Burton Borough School - Mathematics Curriculum