Subject Curriculum Maths Year Group: 7 Map: Term Autumn 1 ......nets and making and designing a package 5 –Isometric drawing 6 –Designing fair games 1. Tessellation –Looking

Subject CurriculumMap:

Maths Year Group: 7

Term Autumn 1 Autumn 2 Spring 1 Spring 2 Summer 1 Summer 2

Topic Place Value and ProportionAlgebraic Thinking

Applications of NumberDirected Number

and Fractional ThinkingLines and Angles Reasoning with number

Big Question Do you know the value of every digit? How to we begin to take numbers beyond numbers?

Can you apply your formal methods to real world problems?

How do we calculate with negatives? Can you reason with angles? When can we say something is proven?

Content

1. Place value and ordering• Recognise and use integer place

value up to one billion• Recognise and use decimal place

value to at least hundredths• Work out intervals and use

number lines• Compare and order numbers• Use ordered lists to find the range

and median of a set of numbers• Round numbers to positive

powers of ten and to one significant figure.

2. Fraction, decimal and percentage equivalence• Represent tenths and hundredths

on diagrams and number lines• Interchange between fractions,

decimals and percentages for multiples of one tenths and one quarter

• Interpret pie charts• Equivalent Fractions• Converting between any fraction,

decimal and percentage

1. Sequences• Describe and continue sequences in

diagram and number forms, both linear and non-linear

2. Understanding and using algebraic notation• Use single function machines and

series of two function machines with numbers, bar models and letters

• Use and interpret algebraic notation• Understand and use inverse operations• Form and substitute into expressions,

including to generate sequences• Represent functions graphically

3. Equality and Equivalence• Understand equality• Use fact families• Forma and solve one-step equations• Understand equivalence of algebraic

expressions• Collect like terms

1. Addition and Subtraction• Use mental and formal written

methods of addition with integers and decimals, including choosing the most appropriate method

• Solve problems in the context of perimeter, money and frequency trees and tables

• Solve problems in the context of bar charts and line charts

2. Multiplication and division• Multiply by 10, 100, 1000, 0.1 and

0.01, and convert metric units• Use mental and formal written

methods of multiplication and division

• Find the HCF and LCM or small numbers

• Evaluate areas of triangles, rectangles and parallelograms

• Find the mean of a set of numbers• Begin to use the order of operations

3. Fractions, decimals, percentages• Find simple fractions and

percentages of amounts.

1. Directed number• Order directed numbers, both in

contextualised and abstract situations

• Revisit four operations to include directed numbers

• Solve two-step equations (with and without a calculator)

• Use the order of operations

2. Adding and subtracting fractions• Convert mixed numbers and

improper fractions• Adding and subtracting fractions

with the same denominator/one denominator a multiple of the other/different denominators

• Add and subtract fractions and decimals e.g. ¾ + 0.2

1. Construction and measuring• Understand and use letters and

labelling notation for lines and angles

• Draw and measure lines and angles accurately

• Classify angles• Identify and draw parallel and

perpendicular lines• Recognise types of triangle,

quadrilateral and other polygons• Construct triangles given SSS, SAS,

ASA• Draw and interpret pie charts•

2. Geometric Reasoning• Calculate and use angles at a point,

angles on a straight line and vertically opposite angles

• Calculate missing angles in triangles and quadrilaterals

1. Developing Number Sense• Mental arithmetic strategies• Use known facts to derive other

facts• Evaluate an algebraic expression

given a related fact• Use estimation

2. Sets and Probability• Understand and use set notation• Draw and interpret Venn diagrams• Understand and use the language of

probability• Calculate the probability of a single

event• Use the sum of probabilities of an

event is 1

3. Prime numbers and proof• Recognise prime, square and triangle

numbers• Express a number as a product of

prime factors• Powers and roots• Make and test conjectures• Understand and use

counterexamples

Assessment

Pupils will be assessed through a range of methods: weekly homework tasks and termly summative tests form the main basis of assessment but work in lessons, contributions to discussions and in class observations will all go to teachers assessing individual pupils mathematical abilities.


Stripe Maths Year Group: 7


Topic Movement Movement Movement Super Powers Super Powers Super Powers

Big Question How can we work as a team to learn new maths skills?

How can we work as a team to learn new maths skills?

How can we work as a team to learn new maths skills?

How can we participate and learn new maths skills?



Content

1.Using a calculator –learn to use the functions such as fractions, squaring, brackets, recurring, powers and roots2. Speed – Find speed, distance and time and interpret distance time graphs.3. Rounding numbers- rounding to the nearest 10,100, 1000, decimal places and significant figures 4.Averages – Find the mean, median and mode5. Scatter graphs – Draw and interpret scatter graphs6. Bar charts – Draw and interpret bar charts



1. Tessellation – Looking at Interior angles and why shapes tessellate and Creating a tessellating patte2 – Probability – Sample space diagramsand Experimental probability3 – Net – Nets of the platonic solids and Faces,Edges and Vertices then Making and testing a dice.4 – Nets of prisms - Looking at different nets and making and designing a package 5 –Isometric drawing6 – Designing fair games



Assessment

Students are assessed during week 5 on their maths skills and they are assessed on their team player/participator skills throughout the course of the 6 weeks.


Maths Year Group: 8


Topic Proportional Reasoning Representations Algebraic TechniquesDeveloping Number

Developing Geometry Reasoning with Data

Big Question What is the link between ratios and fractions?

How can tables help us with probabilities? What are inequalities?How do we write down the distance to the

sun?What is Pi? How do we handle data?

Content

1. Ratio and Scale• Understanding and using ratio• Simplifying ratios• Links between ratio and fractions• Scale factors and diagrams

2. Multiplicative Change• Further work with the link

between ratio and scaling• Considering proportions

3. Multiplying and dividing fractions and decimals• Deepening the understanding of

multiplying and dividing fractions• Links between fractions and

decimals

1. Working in the Cartesian Plane• Algebraic rules for straight lines• Using equations to produce lines• Making connections between number

relationships, and their algebraic and graphical representations

2. Representing data• Bivariate data and linear correlation• Dealing with both discrete and

continuous data

3. Tables & Probability• Samples Spaces• Use of tables to find probabilities

1. Brackets, equations and inequalities• Expanding and factorising single

brackets• Solving equations with brackets• Introduction to inequalities

2. Sequences• Extending Year 7 Sequences with

more complex algebraic rules• Generating sequences from term-to-

term or position-to-term rule• Recognising arithmetic sequences

and finding the nth term• Recognising geometric sequences

and other types

3. Indices• Addition and subtraction laws of

indices

1. Fractions and Percentages• Developing further the relationship

between fractions and percentages, including decimals.

• Percentage increase and decrease• Use of calculator and mental

methods• Financial Maths, profit, loss, interest

2. Standard index form• Interpreting and comparing numbers

in standard form

3. Number sense• Use standard units of mass, length,

time, money and other measures with decimal quantities.

• Rounding to appropriate degrees of accuracy

• Estimating answers and finding error inequalities

1. Angles in parallel lines and polygons• Extending knowledge of angle

notation and relationships to explore angles in parallel lines and polygons.

2. Area of trapezia and circles• Derive and apply the formula to

calculate and solve problems involving perimeter and area of triangles, parallelograms, trapezia, circles and composite shapes.

3. Line symmetry and reflection• Deeper understanding of reflection

as a transformation.

1. The data handling cycle• Using charts to compare different

distributions.• Misleading graphs• Collection of data• Questionnaires

2. Measures of location• The Mode and comparing averages

and why we use each one.• Consideration of outliers• Extending the mean to frequency

tables.

Assessment



Maths Year Group: 9Groups: ab1, ab2, ab3, cd1, cd2


Topic1. Percentage Change

2. Equations and formulae3. Quadratics

1. Fractions2. Applications of graphs

3. Pythagoras

1. Introduction to geometric sequences2. Solving equations graphically

3. Polygons

1. Compound Measures2. Probability

3. Surface area and Volume of Cylinders

1. Decimal Numbers2. Using data

1. Right-angled triangles2. Basic number

3. Fractions, ratio and proportion

Big Question When is interest not simple? Who was Pythagoras and what did he do? When do shapes tessellate?What is a tree diagrams and how can it help

us with probability?Does correlation imply causation? What does SOHCAHTOA mean?

Content

1. Percentage Change • Simple interest• Percentage increase and decrease• Calculating the original value• Repeated percentage changes

2. Equations and formulae• Multiplying out brackets• Factorising algebraic expressions• Expressions with several variables• Equations with fractions

3. Quadratics• Expanding the product of two

brackets• Expanding expressions with more

than two brackets• Factorising quadratic expressions

with positive coefficients• Factorising quadratic expressions

with negative coefficients • The difference of two squares

1. Fractions• Adding and subtracting fractions• Multiplying fractions and mixed numbers• Dividing fractions and mixed numbers• Algebraic fractions

2. Applications of graphs• Step graphs• Time graphs• Exponential growth graphs

3. Pythagoras• Introducing Pythagoras• Using Pythagoras’ theorem to solve

problems• The converse of Pythagoras’ theorem

1. Introduction to geometric sequences• Properties and relationships

2. Solving equations graphically• Graphs from equations of the

form ay ± bx = c• Solving simultaneous equations by

drawing graphs• Solving quadratic equations by drawing

graphs• Solving cubic equations by drawing

graphs

3. Polygons• Properties of polygons• Interior and exterior angles of regular

polygons• Tessellations and regular polygons

1. Compound Measures• Speed• More compound units - Density• Unit costs

2. Probability• Independent and combined events

3. Surface area and Volume of Cylinders• Volume of a cylinder• Surface area of a cylinder• Composite shapes

1. Decimal Numbers• Powers of 10• Standard form• Multiplying numbers in standard form• Dividing with numbers in standard form• Upper and lower bounds

2. Using data• Scatter graphs and correlation• Two-way tables• Estimation of a mean from grouped

data• Cumulative frequency diagrams• Statistical investigations

1. Right-angled triangles• Introduction to trigonometric ratios• How to find trigonometric ratios of

angles• Using trigonometric ratios to find


lengths

2. Basic number• Solving real-life problems• Multiplication and division of decimals• Approximation of calculations• Multiples, factors, prime numbers,

powers and roots• Prime factors, LCM and HCF• Negative numbers

3. Fractions, ratio and proportion• One quantity as a fraction of another• Adding, subtracting and calculating

with fractions• Multiplying and dividing fractions• Fractions on a calculator• Increasing and decreasing quantities by

a percentage• Expressing one quantity as a

percentage of another

Assessment



Maths Year Group: 9Groups: ab4, ab5, cd3, cd4


Topic1. Percentages

2. Equations and formulae3. Algebra-brackets

1. Fractions2. Pythagoras’ theorem

3. Circles

1. Solving equations graphically2. Polygons

3. Similar triangles

1. Enlargements2. Surface area and volume of 3D shapes

3. Using data4. Decimal numbers

1. Decimal numbers(cont.)2. Compound Measures

1. Right-angled triangles2. Basic Number

3. Number Properties

Big Question What happens when there is more than one bracket?

Who was Pythagoras and what did he do?When do shapes tessellate?

Does correlation imply causation? How do we get value for money?What does SOHCAHTOA mean?

Content

1. Percentages• Simple interest• Percentage increases and decreases• Calculating the original value• Using percentages

2. Equations and formulae• Multiplying out brackets• Factorising algebraic expressions• Equations with brackets• Equations with fractions• Rearranging formulae

3. Algebra-brackets• Expanding brackets• More about brackets• Factorising algebraic expressions • Factorising expressions containing

powers• Expand and simplify • Expanding the product of two

brackets

1. Fractions• Adding and subtracting fractions• Multiplying fractions• Multiplying mixed numbers• Dividing fractions• Dividing fractions and mixed numbers

2. Pythagoras’ theorem• Introducing Pythagoras’ theorem• Calculating the length of the hypotenuse• Calculating the length of a shorter side• Using Pythagoras’ theorem to solve

problems

3. Circles• The formula for the circumference of a

circle• The formula for the area of a circle• Mixed problems

1. Solving equations graphically• Graphs from equations in the

form y = mx + c• Problems involving straight-line graphs• Graphs from equations in the

form ay ± bx = c• Graphs from quadratic equations• Solving simple quadratic equations by

drawing graphs• Solving quadratic equations by drawing

graphs• Problems involving quadratic graphs• Solving simultaneous equations by

graphs

2. Polygons• Polygons• Angles in polygons• Constructions• Angles in regular polygons• Regular polygons and tessellations

3. Similar triangles• Similar triangles• A summary of similar triangles• Using triangles to solve problems

1. Enlargements• Scale factors and enlargements• The centre of enlargement• Enlargements on grids

2. Surface area and volume of 3D shapes• Surface areas of cubes and cuboids• Volume formulae for cubes and

cuboids• Volumes of triangular prisms

3. Using data• Scatter graphs and correlation• Interpreting graphs and diagrams• Time-series graphs• Two-way tables• Comparing two or more sets of data• Statistical investigations

4. Decimal numbers• Multiplication of decimals• Powers of ten• Standard form• Rounding suitably • Rounding appropriately• Dividing decimals• Mental calculations• Solving problems

1. Decimal numbers(cont.)• Topic continued from Spring 1

2. Compound Measures• Distance/Speed/Time• Compound Measures - Density• More about proportion• Unit costs

1. Right-angled triangles• Introducing trigonometric ratios• How to find trigonometric ratios of



lengths

2. Basic Number• Place value and ordering numbers• Order of operations and BIDMAS• The four rules

3. Number Properties• Multiples of whole numbers• Factors of whole numbers• Prime numbers• Prime factors, LCM and HCF• Square numbers• Square roots• Basic calculations on a calculator

Assessment



Maths Year Group: 10Groups E1, E2, E3, F1, F2


Topic1. Powers and standard form

2. Number and sequences3. Algebraic manipulation

1. Quadratic equations – 12. Ratio and proportion

3. Angles

1. Transformations, constructions and loci2. Length, area and volume

3. Statistical diagrams and averages

1. Counting, accuracy, powers and surds2. Linear Graphs

3. Right-angled triangles

1. Right-angled triangles (cont.)2. Equations and inequalities

3. Similarity

1. Quadratic Equations - 22. Exploring and applying probability

3. Sampling and more complex diagrams

Big Question How do we deal with three brackets? How do we calculator value for money?How do we work in the 3-dimensional

world?Limits – how do we ensure things fit?

How can we use trigonometry in isosceles triangle?

How do we minimise bias from surveys?

Content

1. Powers and standard form• Powers (indices)• Rules for multiplying and dividing

powers• Standard form

2. Number and sequences• Patterns in number• Number sequences• Finding the nth term of a linear

sequence• Special sequences• General rules from given patterns• The nth term of a quadratic

sequence• Finding the nth term for quadratic

sequences

3. Algebraic manipulation• Basic algebra• Factorisation• Quadratic expansion• Expanding squares• More than two binomials• Quadratic factorisation• Factorising ax2 + bx + c• Changing the subject of a formula

1. Quadratic equations – 1• Plotting quadratic graphs• Solving quadratic equations by

factorisation• The significant points of a quadratic curve

2. Ratio and proportion• Ratio• Direct proportion problems• Best buys• Compound measures• Compound interest and repeated

percentage change• Reverse percentages (working out the

original quantity)

3. Angles• Angle facts• Triangles• Angles in a polygon• Regular polygons• Parallel lines• Special quadrilaterals• Scale drawings and bearings

1. Transformations, constructions and loci• Congruent triangles• Rotational symmetry• Transformations• Combinations of transformations• Bisectors• Defining a locus• Loci problems• Plans and elevations

2. Length, area and volume• Circumference and area of a circle• Area of a parallelogram• Area of a trapezium• Sectors• Volume of a prism• Cylinders• Volume of a pyramid• Cones• Spheres

3. Statistical diagrams and averages• Statistical representation• Statistical measures• Scatter diagrams

1. Counting, accuracy, powers and surds• Estimating powers and roots• Negative and fractional powers• Rational numbers, reciprocals,

terminating and recurring decimals• Surds• Limits of accuracy• Problems involving limits of accuracy• Choices and outcomes (may want to

consider doing with probability)

2. Linear Graphs• Drawing linear graphs from points• Gradient of a line• Drawing graphs by gradient-intercept

and cover-up methods• Finding the equation of a line from its

graph• Real-life uses of graphs• Solving simultaneous equations using

graphs• Parallel and perpendicular lines

3. Right-angled triangles• Pythagoras’ theorem• Finding the length of a shorter side• Applying Pythagoras’ theorem in real-

life situations• Pythagoras’ theorem and isosceles

triangles• Pythagoras’ theorem in three

dimensions

1. Right-angled triangles (cont.)• Trigonometric ratios• Calculating angles• Using the sine and cosine functions• Using the tangent function• Which ratio to use• Solving problems using trigonometry• Trigonometry and bearings• Trigonometry and isosceles triangles

2. Equations and inequalities• Linear equations• Elimination method for simultaneous

equations• Substitution method for simultaneous

equations• Balancing coefficients to solve

simultaneous equations• Using simultaneous equations to solve

problems• Linear inequalities• Graphical inequalities• Trial and improvement

3. Similarity• Similar triangles• Areas and volumes of similar shapes

1. Quadratic Equations - 2• Solving a quadratic equation by using

the quadratic formula• Solving quadratic equations by

completing the square• The significant points of a quadratic

curve

2. Exploring and applying probability• Experimental probability• Mutually exclusive and exhaustive

events• Expectation• Probability and two-way tables• Addition rules for outcomes of events• Combined events• Tree diagrams• Independent events• Conditional probability

3. Sampling and more complex diagrams• Collecting data• Frequency polygons• Cumulative frequency graphs• Box plots• Histograms

Assessment



Maths Year Group: 10Groups E4, E5, F3, F4


Topic1. Decimals and Fractions

2. Expressions and Formulae3. Linear Equations

1. Approximations2. Ratio, Speed and Proportion

3. Angles

1. Perimeter and Area2. Transformations

1. Linear Graphs2. Volumes and Surface Areas of Prisms &

Curved Shapes and Pyramids3. Charts, Tables and Averages

1. Charts, Tables and Averages (cont.) 2. Number and Sequences

3. Linear Inequalities

1. Probability and Events2. Pythagoras’ Thm

3. Measures and Scale Drawings

Big Question Can we master the building blocks of GCSE Maths?

How did past sailors ensure they know where they were heading?

How can we combine transformations?How do we work in the 3-dimensional

world?Spotting patterns – how can we link Maths

to nature?How can we wrap a present with minimal

wastage?

Content

1. Decimals and Fractions• Calculating with decimals

• Fractions and reciprocals

• Writing one quantity as a fraction

of another

• Adding and subtracting fractions

• Multiplying and dividing fractions

• Fractions on a calculator

2. Expressions and Formulae• Basic algebra

• Substitution

• Expanding brackets

• Changing the subject of a formula

3. Linear Equations • Solving linear equations

• Solving equations with brackets

• Solving equations with the

variable on both sides

1. Approximations

• Rounding whole numbers

• Rounding decimals

• Approximating calculations

2. Ratio, Speed and Proportion

• Ratio

• Speed, distance and time

• Direct proportion problems

• Best buys

3. Angles

• Angles facts

• Triangles

• Angles in a polygon

• Regular polygons

• Angles in parallel lines

• Special quadrilaterals

• Bearings

1. Perimeter and Area

• Rectangles

• Compound shapes

• Area of a triangle

• Area of a parallelogram

• Area of a trapezium

• Circles

• The area of a circle

• Answers in terms of π

2. Transformations

• Rotational symmetry

• Translation

• Reflections

• Rotations

• Enlargements

• Using more than one transformation

• Vectors

1. Linear Graphs • Graphs and equations

• Drawing linear graphs by finding

points

• Gradient of a line

• y = mx + c

• Finding the equation of a line from

its graph

• The equation of a parallel line

• Real-life uses of graphs

• Solving simultaneous equations

using graphs

2. Volumes and Surface Areas of Prisms & Curved Shapes and Pyramids• 3D shapes

• Volume and surface area of a

cuboid

• Volume and surface area of a prism

• Volume and surface area of

cylinders

• Sectors

• Pyramids

• Cones

• Spheres

3. Charts, Tables and Averages• Frequency tables

• Statistical diagrams

• Line graphs

• Statistical averages

1. Charts, Tables and Averages (cont.) • Continued from Spring 2

2. Number and Sequences

• Patterns in number

• Number sequences

• Finding the nth term of a linear

sequence

• Special sequences

• General rules from given patterns

3. Linear Inequalities

• Linear inequalities

1. Probability and Events• Calculating probabilities

• Probability that an outcome will not

happen

• Mutually exclusive and exhaustive

outcomes

• Experimental probability

• Expectation

• Choices and outcomes

• Combined events

• Tree diagrams

2. Pythagoras’ Thm• Pythagoras’ theorem

• Calculating the length of the shorter

side

• Applying Pythagoras’ theorem in

real-life situations

• Pythagoras’ theorem and isosceles

triangles

3. Measures and Scale Drawings• Systems of measurement

• Conversion factors

• Scale drawings

• Nets

• Using an isometric grid

Assessment



Maths Year Group: 11Groups E1, E2, E3, F1, F2


Topic1. Quadratic Equations - 32. Quadratic Inequalities

3. Properties of circles4. Graphs

1. Graphs (cont.)2. Triangles

3. Combined events 4. Variation

1. Algebraic fractions and functions2. Algebraic proof and reasoning

3. Rates of change4. Stats Revision (1 – week)

1. Vector geometry2. Geometric proof and reasoning

Revision Revision

Big Question How can you find the gradient of a curve?

How can we use trigonometry beyond 1800 Can you recognise an equation, identity, expression and inequality?

What is a mathematical proof?

Content

1. Quadratic Equations - 3• Solving equations, one linear and

one non-linear using graphs• Solving quadratic equations by the

method of intersection• Solving linear and non-linear

simultaneous equations algebraically

2. Quadratic Inequalities• Solving algebraically• Representing graphically • Knowing how to find regions that

satisfy more than one graphical inequality

3. Properties of circles• Circle theorems• Cyclic quadrilaterals• Tangents and chords• Alternate segment theorem

4. Graphs• Distance–time graphs• Velocity–time graphs• Estimating the area under a curve• Rates of change• Equation of a circle• Other graphs• Transformations of the graph y = f(x)

1. Graphs (cont.)• Continued from Autumn 1

2. Triangles • Further 2D problems• Further 3D problems• Trigonometric ratios of angles between 0°

and 360°• Solving any triangle• Sine rule• Cosine rule• Area of a triangle using sine

3. Combined events • Probability and Venn diagrams

4. Variation• Direct proportion• Inverse proportion

1. Algebraic fractions and functions• Algebraic fractions• Changing the subject of a formula• Functions• Composite functions• Iteration

2. Algebraic proof and reasoning• Equation and an identity• Arguing mathematically to show

algebraic expressions are equivalent• Use algebra to support and construct

arguments and proofs

3. Rates of change• Gradients of curves

4. Stats Revision (1 – week)• Focused revision time on Statistics

1. Vector geometry• Properties of vectors• 25.2 Vectors in geometry

2. Geometric proof and reasoning• Proof within Circle theorems, vectors

and transformations

1. Revision 1. Revision

Assessment

Pupils will be assessed through a range of methods: weekly homework tasks and termly summative tests form the main basis of assessment but work in lessons, contributions to discussions and in class observations will all go to teachers assessing individual pupils mathematical abilities. Year 11 will also have additional trial exams in Maths in December and then a second trial exam in Maths in March/April.


Maths Year Group: 11Groups E4, E5, F3, F4


Topic1. Simultaneous Equations

2. Percentages and Compound Measures

3. Percentages and Variation

1. Powers and Standard Form2. Quadratics

3. Representation -and Interpretation

1. Non-Linear Graphs2. Combined Events

3. Constructions and Loci4. Congruence and Similarity

1. Right-Angled Triangles2. Vectors3. Proof

Revision Revision

Big Question How do banks calculate interest – is it simple?

How do we find an average when we don’t know the exact number?

How do we cut a line in two precisely? Can you argue and reason mathematically?

Content

1. Simultaneous Equations• Elimination method for

simultaneous equations• Substitution method for

simultaneous equations• Balancing coefficients to solve

simultaneous equations• Using simultaneous equations to

solve problems

2. Percentages and Compound Measures• Equivalent percentages, fractions

and decimals• Calculating a percentage of a

quantity• Increasing and decreasing quantities

by a percentage• Expressing one quantity as a

percentage of another• Compound measures

3. Percentages and Variation• Compound interest and repeated

percentage change• Reverse percentage (working out the

original value)• Direct proportion• Inverse proportion

1. Powers and Standard Form• Powers (indices)• Rules for multiplying and dividing powers• Standard form

2. Quadratics• Quadratic expansion• Quadratic factorisation• Plotting quadratic graphs• Solving quadratic equations by

factorisation• The significant points of a quadratic curve

3. Representation -and Interpretation• Sampling• Pie charts• Scatter diagrams• Grouped data and averages

1. Non-Linear Graphs• Distance-time graphs• Cubic and reciprocal graphs

2. Combined Events• Combined events• Two-way tables• Probability and Venn diagrams• Tree diagrams

3. Constructions and Loci• Constructing triangles• Bisectors• Defining a locus• Loci problems

4. Congruence and Similarity• Congruent triangles• Similarity

1. Right-Angled Triangles• Pythagoras’ theorem• Calculating the length of the shorter

side• Applying Pythagoras’ theorem in real-

life situations• Pythagoras’ theorem and isosceles

triangles • Trigonometric ratios• Calculating lengths using trigonometry• Calculating angles using trigonometry• Trigonometry without a calculator• Solving problems using trigonometry• Trigonometry and bearings• Trigonometry and isosceles triangles

2. Vectors• Addition, subtraction of vectors• Multiplication of vectors by a scalar• Diagrammatic and column

representations of vectors

3. Proof• Apply angle facts, triangle congruence,

similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs

1. Revision 1. Revision

Assessment

Pupils will be assessed through a range of methods: weekly homework tasks and termly summative tests form the main basis of assessment but work in lessons, contributions to discussions and in class observations will all go to teachers assessing individual pupils mathematical abilities. Year 11 will also have additional trial exams in Maths in December and then a second trial exam in Maths in March/April.


Maths Year Group: 12


Topic

Teacher A

Algebra 1Teacher

A

Algreba 1 (cont…)Polynomials and the Binomial

Theorem

Teacher A

Collecting, representing and interpreting data

Teacher A

Probability and discrete random variables

Hypothesis Testing 1

Teacher A

RevisionINTERNAL EXAMS

Year 2 content start: Algebra 2

Teacher A

Algebra 2 (contiii)Large Data Set

Teacher B

VectorsUnits and Kinematics 1

Differentiation

Teacher B

Differentiation and IntegrationTeacher

BTrigonometry

Forces and Newton's LawsTeacher

B

Forces and Newton's Laws (cont…)

Units and Kinematics 2Exponentials and Logarithms

Teacher B

RevisionINTERNAL EXAMS

Year 2 content start: SequencesTeacher

BSequences (cont…)Revision of the year

Big QuestionWhen is a proof a proof?

How steep is a curve?How can I find a function give a gradient? Correlation v causation

What happens when acceleration isn’t constant?

What happens when the second derivative is zero?

What is the most popular car sold over recent years?

Content

Algebra 1• Problem Solving & Proof• Surds & Indices• Quadratic Functions• Equations & Inequalities

Vectors• Definitions and properties• Components of a vector

Kinematics• Standard units and basic dimensions• Motion in a straight line• Constant acceleration equations.

Differentiation• Differentiation from first principles

Algebra 1 (cont…)• Coordinate Geometry

Polynomials and the Binomial Theorem• Expanding and factorising• The binomial theorem• Algebraic Division• Curve Sketching

Differentiation and Integration• Differentiate axn and Leibniz notation• Rates of Change• Tangents and normal• Turning points• Integration• Area under a curve

Collecting, representing and interpreting data• Data Collection• Data Processing/ Presentation/

Interpretation

Trigonometry• Sine, cosine and tangent• The sine and cosine rules

Forces and Newton's Laws• Forces 1• Dynamics 1• Motion under gravity

Probability and discrete random variables• Probability• The Binomial Distribution

Hypothesis Testing 1• Formulating a test• The Critical Region

Forces and Newton's Laws (cont…)• Systems of forces

Units and Kinematics 2• Motion with variable acceleration

Exponentials and Logarithms• The laws of logarithms • Exponential functions• Exponential processes• Curve Fitting

Revision

INTERNAL EXAMS

Year 2 content start: Algebra 2• Further Mathematical proof• Functions

Year 2 content start: Sequences• The Binomial Series• Introduction to sequences• Arithmetic sequences• Geometric sequences

Algebra 2 (cont…)• Continued from Summer 1

Large Data Set• Working with the large data set to

become familiar with the data

Sequences (cont…)• Continued from Summer 1

Revision of the year• Revision of Year 12 AS Year work in

preparation for September

Assessment

Pupils will be assessed through a range of methods: weekly homework tasks and regular summative tests form the main basis of assessment but work in lessons, contributions to discussions and in class observations will all go to teachers assessing individual pupils mathematical abilities.


Maths Year Group: 13


TopicTeacher

AAlgebra 2

Trigonometric IdentitiesTeacher

AIntegration and differential

EquationsTeacher

AProbability and continuous

random variablesTeacher

AHypothesis Testing 2Numerical Methods

Teacher A

RevisionTeacher

ARevision

Teacher B

Differentiation 2Teacher

BDifferentiation 2 (cont…)

Motion in two dimensionsTeacher

BMotion in two dimensions

(cont..)Teacher

BForces 2

Numerical MethodsTeacher

BRevision

Teacher B

Revision

Big Question How do we differentiate complicated functions?

Motion – Can we work in two dimensions? Understanding what is Normal! When is a hypothesis true?

Content

Algebra 2• Parametric equations• Algebraic Fractions • Partial Fractions

Trigonometric Identities• Reciprocal and inverse trig functions• Compound Angles• Harmonic Form

Differentiation 2• The shapes of functions • Trigonometric functions • Exponential and log functions • Product and quotient rules • Chain rule

Integration and differential Equations• Standard integrals• Integration by substitution • Integration by parts• Integrating rational functions • Differential equations

Differentiation 2• Inverse functions• Implicit differentiation• Parametric functions

Motion in two dimensions• Two dimensional motion with constant

acceleration• Two dimensional motion with variable

acceleration

Probability and continuous random variables• Conditional Probability• Modelling with probability• Normal distribution• Using the normal distribution

Motion in two dimensions (cont..)• Motion under gravity 2 • Motion under forces

Hypothesis Testing 2• Testing correlation • Testing a normal distribution

Numerical Methods• Simple root finding• Iterative root finding

Forces 2• Statics• Dynamics 2• Moments • Vectors in 3 D

Numerical methods• Newton Raphson• Numerical integration

Revision Revision

Assessment

Pupils will be assessed through a range of methods: weekly homework tasks and regular summative tests form the main basis of assessment but work in lessons, contributions to discussions and in class observations will all go to teachers assessing individual pupils mathematical abilities.


Further Maths Year Group: 12


TopicTeacher

AFurther Pure Maths

Teacher A

Further Pure MathsTeacher

AFurther Pure Maths

Teacher A


ARevision & Yr 2 Further Pure

MathsTeacher

AYr 2 Further Pure Maths

Teacher B

Decision MathsTeacher

BDecision Maths

Teacher B

Decision MathsTeacher

BFurther Mechanics

Teacher B

Revision & Yr 2 Applied Further Maths

Teacher B

Yr 2 Applied Further Maths

Big QuestionWhat is the −1?

& When is a Graph not a graph?

The Maths of competitionsHow can we plot a complex number of a

graph?What is the maths behind a fairground

wheels?What if networks have restrictions?

Why is the Simplex method called the simplex method when it’s not simple?

Content

Complex Numbers• Understanding i• Calculations with i

Matrices• Matrices and multiplication of (PBI)• Transformations• Successive Transformations• Invariance

Graph Theory• Language of Graphs• Minimum Connector Problems• Route Inspection Problems• Travelling Salesman Problem

Linear Programming• Setting up constaints• Solving graphically

Matrices• Determinant/inverse of a matrix

Roots of Polynomials• Determinant/inverse of a matrix• Roots of quadratics• Roots of cubics & quartics• Roots of complex polynomials

Summing Series• Method of DifferencesProof• Proof by InductionMaclaurins SeriesNetwork Flows• Flows• Maximum Flow – Minimum Cut Theorem• Multiple Critical Path Analysis• Drawing and analysing activity networks• FloatsGame Theory• Two-person zero-sum games • Play-safe strategies and stable solutions • Dominance• Optimal mixed strategies Abstract Algebra• Binary Operations• Modular Arithmetic• Cayley Tables

Conics• Parabola• Ellipse• Hyperbola • The rectangular hyperbola• Transformations• Hyperbolic Functions

Integration• Volumes of Revolution• Mean value of a function

Rational Function and Further Algebra• Graphs of rational functions• Inequalities

More Complex numbers• Modulus and Argument• Loci in the complex plane

Dimensional Analysis

Work, Energy and Power

Elastic strings and Springs• Hooke’s Law• Work and Energy

Momentum – Impulse• Impulse and Momentum• The Principle of the Conservation of

Linear Momentum

Polar Coordinates• Coordinates• Curve Sketching• Polar Equations of a curve

Vectors• The Scalar Product• The Equation of a line

Momentum – Impulse• Newton’s Experimental Law

Circular Motion• Motion in a circle with Constant Speed

REVISION FOR AS FURTHER MATHS EXAMINIATION then those carrying on to Year 13 will study the following Year 13 topics:

Further Matrices• Eigenvalues and eigenvectors

Further Matrices• Eigenvalues and eigenvectors

Further Graphs and Networks• Further Graph Theory• Further Networks

De Moivre’s Theorem• Theorem• Applications

Further Linear Programming• The Simplex Method• Games as linear programming

problems

Moments of Forces• Equilibrium of rigid bodies• Centre of Mass

Assessment


Students studying Further Maths A-Level do this as an enrichment subject, they will all sit the AS Exam in the Summer of Year 12. Following this they may either carry on into Year 13 or end the course in Year 12 with an AS qualification.


Further Maths Year Group: 13


TopicTeacher

AFurther Pure Maths

Teacher A


AFurther Pure Maths

Teacher A


ARevision

Teacher A

Revision

Teacher B


BFurther Pure and Applied

Teacher B

Further Pure and AppliedTeacher

BFurther Pure and Applied

Teacher B

RevisionTeacher

BRevision

Big Question Can we work with matrices bigger than 2x2?

What is the limit of a function?What happens to momentum in 2

dimensions?How can we find the surface area of a

cone?Revision Revision

Content

Further Graphs and functions • Modulus and reciprocal Graphs

Further Vectors • Angles & geometric intersection• Single point to a plane • The Cross Product

Further Calculus• Separation of variables

Differential Equations • 1sts Order DE’s • Integrating Factors

Further Matrices• Inverse of a 3x3 Matrix• Simultaneous Equations• Factorising Determinants

Further Hyperbolic Functions • Further Hyperbolic Functions• Using Inverse hyperbolic functions

Numerical Methods• Numerical Integration• Euler’s Method• Mid-point formula

Differential Equations cont…• 2nd Order DE’s• Systems of DE’s

Further Circular Motion • Banked Tracks • Vertical circles

Series and Limits• Method of differences

Further Algebra • Quadratic Theory • Oblique Curves

Further Algebra • More Maclaurins

Further Polar• Finding areas

Further Conics• Composite Transformations

Further Calculus• Improper Integrals

Further Momentum and Collisions • Working in 2 dimensions

Further Work, Energy and Power• Working in 2 dimensions

Further Calculus• General integration and limits• Reduction formulae

Decision • Group Theory

Further Calculus• Arc length and surface area

Revision

Revision Revision

Assessment


Documents

Subject Curriculum Maths Year Group: 7 Map: Term Autumn 1 ......nets and making and designing a package 5 –Isometric drawing 6 –Designing fair games 1. Tessellation –Looking