Welcome to Maths

“Pure mathematics is, in its way, the poetry of logical ideas.” - Albert Einstein

Why do we learn maths?
Head of Department
Our approach
Year 7
Year 8
Year 9
Year 10
Year 11

Why do we learn maths?

Studying Mathematics gives you an understanding that is essential to the modern world. It is critical to science, technology, and engineering, necessary for financial literacy and most forms of employment. Mathematics, provides those who study it with an ability to reason, identify patterns and solve complex problems through the application of logic. It is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. This means that mathematics is integral to our school vision of nurturing talent for lifelong happiness and success, as maths provides students with opportunities to be to be challenged, develop confidence, independence and curious. A maths education enables students to be all of these allowing them to realise the power of Mathematics.

Head of Department

Director of Maths

Mr J Jennings

Our approach

Knowledge-rich
We have designed a curriculum which is of relevance to our context and student body. At the heart of our curriculum is knowledge and information that adds to our students’ cultural capital. The more you know the more you can think about, as you cannot think about that which you do not know. We have decided what the key knowledge is that which will enable our students to leave our academy cleverer and kinder.

Vocabulary-rich
Our curriculum will be vocabulary rich as closing the advantage gap is about closing vocabulary gaps between word poor and word rich households. Our schemes of learning and individual lessons will have set vocabulary Tier 2 vocabulary that is subject specific, which builds on the foundations of our whole-school approach to eloquence. Students engage with the vocabulary using the Frayer Model and must speak like a mathematician when giving oral and written answers.

Mastery
Our curriculum includes well-planned opportunities to retrieve essential knowledge and master its application through interleaved Do Nows, homework and regular formative assessment. After every summative assessment we will use our Question Level Analysis to plan our review lessons and revision schemes of work so that knowledge gaps are closed in lessons as well as after school mastery sessions focusing on specific topics for target students.

Progression Planning
Our curriculum is planned to develop mastery over 5 years. Formative and summative assessment is planned into the scheme of learning so that medium term plans can be adapted to secure students' progress over time and allow them to develop mastery. The curriculum is sequenced in a spiral fashion so that the foundations are laid in core knowledge in Year 7 and then knowledge is built upon this each year so that students are successful at GCSE and beyond.

Enrichment
We also offer enrichment opportunities so that students may explore and develop their love of mathematics and character beyond the classroom. This includes guest speakers, a weekly maths enrichment session where students prepare for the UK Maths Challenge, visits to universities and the opportunity to work with banks such as Goldman Sachs and JP Morgan. 

Year 7

Autumn
Making generalisations about the number system

Unit 1 - Number Systems and Axioms

  • Place value systems including base 10 and other bases
  • Commutativity, associativity and distributivity

Unit 2 - Factors, Multiples, and the Order of Operations

  • Factors, multiples, and primes
  • Square and cube numbers
  • Representing the structure of number
  • Establishing the order of operations 

Unit 3 – Positive and Negative Numbers

  • Negative numbers in context
  • Using negative numbers with all four operations

Unit 4 – Expressions, Equations and Sequences

  • Finding missing terms in sequences
  • Finding the nth term
  • Writing expressions
  • Recognising equivalent expressions
  • Forming equations

Spring
2-D geometry

Unit 5 – Angles

  • Measuring and drawing angles
  • Angles on a straight line and around a point
  • Angles in parallel lines
  • Creating expressions from angle facts

Unit 6 – Classifying 2D shapes

  • Classifying polygons according to their properties
  • Rotational and line symmetry
  • Area of triangles and quadrilaterals
  • Formulae and solving equations

Unit 7 – Constructing triangles and quadrilaterals

  • Using a ruler, protractor, and compasses to construct 2D shapes
  • Using properties of quadrilaterals and triangles to explore standard constructions
The Cartesian plane

Unit 8 – Coordinates

  • Plotting points in all four quadrants
  • Horizontal and vertical lines
  • Midpoints of line segments
  • Problem solving on a coordinate grid

Unit 9 – Area of 2D Shapes

  • Area of triangles and quadrilaterals
  • Formulae and solving equations

Unit 10 – Transforming 2D Figures

  • Translation, rotation, and reflection of an object on a cartesian plane
  • Enlargement by a positive scale factor

Summer
Fractions

Unit 11 - Primes, Factors and Multiples

  • Prime factor decomposition
  • Lowest Common Multiples and Highest Common Factors
  • Square and Cube roots

Unit 12 – Fractions

  • Equivalent fractions
  • Converting between fractions and decimals
  • Recurring decimals
  • Multiply and divide fractions
  • Fractions of amounts
  • Mixed numbers and improper fractions
  • Addition and subtraction of fractions
Ratio and proportion

Unit 13 – Ratio

  • Ratio notation
  • Understand the relationship between ratio and fractions
  • Working with ratios and quantities

Unit 14 – Percentages

  • Equivalence to fractions and decimals
  • Percentages of an amount
  • Percentage increase and decrease
  • Finding the original amount
  • Using percentages, fractions and decimals in different contexts including probability

All Year 7 subjects Next Year 7 Subject - English

Year 8

Autumn
Equations and Inequalities

Unit 1 – Forming and Solving Equations

  • Review Year 7 Algebra
  • Forming algebraic equations
  • Solving equations with unknowns on both sides 
  • Introduce solving equations involving algebraic fractions

Unit 2 – Forming and Solving Inequalities

  • Understanding the language and symbols 
  • Using a number line 
  • Forming algebraic inequalities 
  • Solving algebraic inequalities with the unknown on both sides 
  • Use graphical representations
Graphs

Unit 3 – Linear Graphs

  • Plot coordinates to generate straight lines
  • Identify key features of a linear graph
  • Make links between algebraic and linear representations
  • Identify parallel lines from algebraic equations

Unit 4 – Accuracy and Estimation

  • Rounding to a given number of decimal places and significant figures
  • Upper and lower bounds
  • Estimation

Spring
Proportional Reasoning

Unit 5 – Ratio, Real Life Graphs and Rates

  • Review Year 7 Ratio
  • Scales and reading maps
  • Read and interpret real life graphs
  • Rates of change including Speed, Distance and Time

Unit 6 – Direct and Inverse Proportion

  • Similarity as an example of direct proportion
  • Represent proportional relationships algebraically, in a table and on graphs
Representations and Reasoning with Data

Unit 7 – Univariate Data

  • Construct and interpret charts and graphs
  • Mean, median, mode and range
  • Examine outliers

Unit 8 – Bivariate Data

  • Scatter graphs
  • Correlation
  • Constructing a line of best fit
  • Interpolation and extrapolation

Summer
Angles

Unit 9 – Parallel Lines

  • Review Year 7

Unit 10 – Angles in Polygons

  • Define the sum of interior and exterior angles of polygons
  • Solve problems involving angles in polygons

Unit 11 – Bearings

  • Understand the conventions of bearings
  • Calculate and measure bearings
Area, Volume and Surface Area

Unit 12 – Circles and Composite Shapes

  • Explore relationship between circumference and diameter
  • Calculate area and circumference
  • Area and perimeter of composite shapes

Unit 13 – Volume of Prisms

  • Use the formulae to calculate the volume of cubes, prisms, and composite solids
  • Changing between units of volume

Unit 14 – Surface Area of Prisms

  • Recognising and drawing nets of prisms
  • Use the formulae to calculate the surface area of cubes, prisms, and composite solids

All Year 8 subjects Next Year Subject - English

Year 9

Autumn 

Probability

Unit 1 – Probability

• Fraction, decimal, and percentage review

• Theoretical and experimental probability

• Probability of single events

• Probability of combined events

Unit 2 – Sample Space Diagrams

• Venn Diagrams

• Sample Space

• Two-way tables

• Tree diagrams

Quadratics

Unit 3 – Quadratic Expressions and Equations

• Creating quadratic expressions

• Expanding and factorising binomials

• Plotting quadratic graphs

• Solving quadratic equations

• Completing the square and finding turning points
Spring 

Geometry of Triangles

Unit 4 – Constructions, Congruence and Loci

• Ruler and compass constructions

• Congruence

• Drawing loci

Unit 5 – Pythagoras’ Theorem

• Using Pythagoras’ Theorem to find missing sides in right angled triangles

• Using Pythagoras’ Theorem to solve problems with 3D objects

Ratio and Proportion

Unit 6 – Enlargement and Similarity

• Review Year 7 and Year 8 ratio

• Similarity and enlargement

• Area and volume of similar shapes

Unit 7 – Surds and Trigonometry

• Surds

• Using trigonometric ratios to find unknown angles and sides

• Solving problems using trigonometric ratios
Summer 

Simultaneous Equations

Unit 8 – Solving Graphically

• Setting up simultaneous equations

• Finding solutions graphically to a set of one or more simultaneous equations

Unit 9 – Solving Algebraically

• Setting up simultaneous equations

• Using algebraic methods to solve simultaneous equations

Reasoning with Number

Unit 10 – Indices and Standard Form

• Index notation and rules

• Fractional and negative indices

• Comparing and ordering numbers in standard form

• Calculating in standard form

Unit 11 – Growth and Decay

• Compound percentage change

• Reverse percentage change

• Other growth and decay contexts

All Year 9 subjects Next Year 9 Subject - English

Year 10

Year 10 (Higher)
Autumn 

Number

Unit 1 – Powers and Roots

Unit 2 – Surds and Irrational Numbers

Unit 3 – Indices

Unit 4 – Standard Form

Unit 5 – Sequences

Applications of Algebra

Unit 6 – Quadratics

Unit 7 – Quadratic Graphs

Unit 8 – Algebraic Fractions

Unit 9 – Simultaneous Equations
Spring 

Percentages and Probability

Unit 10 – KS3 FDP Review

Unit 11 – Percentages

Unit 12 – Probability, Sets and Venn Diagrams

Geometry

Unit 13 – Transformations

Unit 14 – Upper and Lower Bounds

Unit 15 – 2D Shapes and Circle Geometry

Unit 16 – 3D Shapes

Unit 17 – Volume and Surface Area
Summer 

Similarity

Unit 18 – Ratio Review

Unit 19 – Direct and Inverse Proportion

Unit 20 – Pythagoras’ Review

Unit 21 – Similarity and Trigonometry

Unit 22 – 3D Triangles

Data Handling

Unit 23 – Averages and Range Review

Unit 24 – Data Collection and Sampling

Unit 25 – Presenting Data

Unit 26 – Further Statistical Diagrams
 
Year 10 (Foundation)
Autumn 

Number

Unit 1 – Powers and Roots

Unit 2 – Surds and Irrational Numbers

Unit 3 – Indices

Unit 4 – Standard Form

Unit 5 – Sequences

Applications of Algebra

Unit 6 – Quadratics

Unit 7 – Quadratic Graphs

Unit 8 – Algebraic Fractions

Unit 9 – Simultaneous Equations
Spring 

Percentages and Probability

Unit 10 – KS3 FDP Review

Unit 11 – Percentages

Unit 12 – Probability, Sets and Venn Diagrams

Geometry

Unit 13 – Transformations

Unit 14 – Upper and Lower Bounds

Unit 15 – 2D Shapes and Circle Geometry
Summer 

Similarity

Unit 16 – Ratio Review

Unit 17 – Direct and Inverse Proportion

Unit 18 – Pythagoras’ Theorem

Unit 19 – Similarity and Trigonometry

Data Handling

Unit 20 – Averages and Range

Unit 21 – Data Collection and Sampling

Unit 22 – Presenting Data

 

All Year 10 subjects Next Year 10 Subject - English

Year 11

Year 11 (Higher)
Autumn 

Number

Unit 1 – Factors, Multiples and Primes

Unit 2 – Powers and Roots

Unit 3 – Indices

Unit 4 – Standard Form

Unit 5 – Sequences

Applications of Algebra

Unit 6 – KS3 Algebra Review

Unit 7 – Quadratics

Unit 8 – Quadratic Graphs

Unit 9 – Simultaneous Equations
Spring 

Percentages and Probability

Unit 10 – KS3 FDP Review

Unit 11 – Percentages

Unit 12 – Probability, Sets and Venn Diagrams

Geometry

Unit 13 – Transformations

Unit 14 – 2D Shapes and Circle Geometry

Unit 15 – Presenting Data
Summer 

Similarity

Unit 16 – Ratio Review

Unit 17 – Direct and Inverse Proportion

Unit 18 – Pythagoras’ Theorem

Unit 19 – Similarity and Trigonometry

Data Handling

Unit 20 – Averages and Range

Unit 21 – Data Collection and Sampling

Unit 22 – Presenting Data
 
Year 11 (Foundation)
Autumn 

Reasoning and Proof

Unit 1 – Vectors

Unit 2 – Geometric Reasoning

Unit 3 – Bearings

Unit 4 – Congruence and Proof

Unit 5 – Constructions and Loci

Graphs

Unit 6 – Linear Inequalities

Unit 7 – Linear Graphs

Unit 8 – Non-Linear Graphs
Spring 

Number and Algebra Revision

Units will be re-taught by teachers based on QLA from Mocks

Ratio and Proportion Revision

Units will be re-taught by teachers based on QLA from Mocks
Summer 

Geometry and Statistics Revision

Units will be re-taught by teachers based on QLA from Mocks

Exams

All Year 11 subjects Next Year 11 Subject - English