# Mathematics

**Head of Department:** Lewis Smith

**Second In-Charge:**Ms Shahanaz Begum

## Key Stage 3 (Year 7-9)

**Year 7**

**Lovelace:**

- Basic Numbers
- BIDMAS
- Basic Fractions
- Basic Decimals
- Rounding
- Percentages
- Basic Algebra
- Equations and Formulae 1
- Ratio
- Calculating with Percentages
- Angles
- Proportions
- Basic Indices
- Scale Diagrams and Bearings
- Collecting and Representing Data
- Perimeter and Area
- Quadratics FOIL
- Basic Probability
- Circles
- Standard Form
- Linear Sequences
- Averages and Range
- Coordinates and Linear Graphs
- Probability

**Turing:**

- Number Operations and Place Value
- BIDMAS
- Negative Numbers
- Factors, Multiples and Primes
- Powers and Roots
- Basic Fractions
- Basic Algebra and Functions
- Simplifying Expressions
- Decimals
- Basic Percentages
- Angles
- Scale Diagrams and Bearings
- Add and Subtract Fractions and Reciprocals
- Substitution and Formulae
- Solving Equations
- Ratio
- Ration Problems
- Charts and Graphs
- Perimeter and Are
- Proportion
- Circles
- Multiply and Divide Fractions
- Factors, Multiples and Primes
- Decimals
- Basic Probability

**Year 8**

**Lovelace:**

- Standard Form
- Basic Algebra
- Scatter Graphs
- Angles
- Equations and Formulae
- Ratio
- Factors and Multiples
- Collecting and Representing Data
- Proportion
- Coordinates and Linear Graphs
- Basic Fractions
- Parallel and Perpendicular Lines
- Sampling
- Scale Diagrams and Bearings
- Linear Sequences
- Direct Proportions
- Basic Decimals
- Quadratic Sequences
- Calculating with Percentages
- Perimeter and Area
- Real Life Graphs
- Ration and Proportion
- Quadratics 1 FOIL
- Basic Probability
- Circles
- Ratio and Proportion Review
- Quadratics 2
- Averages and Range
- Transformations 1
- Growth and Decay

**Turing:**

- Number Operations and Place Value
- BDIMAS
- Ratio
- Angles
- Basic Algebra and Functions
- Negative Numbers
- Ratio Problems
- Charts and Graphs
- Simplifying Expressions
- Scale Diagrams and Bearing
- Factors, Multiple and Primes
- Perimeter and Area
- Tables
- Proportion
- Single Brackets and Factoring
- Powers and Roots
- Substitution and Formulae
- Direct Proportion
- Circles
- Collecting and Representing Data
- Basic Fractions
- Solving Equations
- Basic Probability
- Transformations 1
- Coordinates and Gradients
- Averages and Ranges
- Transformations 2
- Comparing Quantities
- Decimals
- Linear Graphs and Parallel Lines

**Year 9:**

**Lovelace**

- Rounding
- Transformations 2
- Percentages
- Basic Inequalities
- Probability
- Pythagoras’ Therom
- Solving Inequalities
- Direct and Inverse Proportion
- Basic Indicies
- Quadratics 1 FOIL
- Quadratics 2
- 2D Representations of 3D Shapes
- Linear Simultaneous Equations
- Standard Form
- Quadratic Inequalities
- Venn Diagrams
- Measures
- Rearranging Formula
- Direct and Inverse Proportion
- Fractions Review
- Linear and Quadratic Equations and their Graphs 1
- Gradient and Rate of Change 1
- Construction and Loci
- Linear and Quadratic Equations and their Graphs 2
- Gradient and Rate of Change 2
- Sketching Graphs
- Cumulative Frequency
- Properties of Polygons
- Further Algebra
- Box Plots

**Turing**

- Rounding and Estimations
- Sequences
- Basic Percentages
- Pythagoras’ Therom
- Fractions, Decimals and Percentages
- Scatter Graphs
- 2D Representations of 3D Shapes
- Calculating with Percentages
- Add and Subtract Fractions and Reciprocals
- Pie Charts
- Multiply and Divide Fractions
- Scale Factors, Diagrams and Maps
- Measures
- Real Life Graphs
- Percentage Change
- Quadratics: FOIL and Factorising
- Direct Proportions Graphs and Problems
- Construction and Loci
- Inequalities
- Inverse Proportion
- Probability
- Rearranging Formulae
- Time and Other Units of Measure
- Properties of Polygons
- Sketching Graphs
- Indicies
- Growth and Decay
- Standard Form
- Congruence and Similarity

## Key Stage 4 (Year 10-11)

**Year 10:**

**Lovelace**

- Trigonometry
- Further Indicies
- Congruence and Similarity1
- Surds
- Further Quadratics
- Congruence and Similarity 2
- Histograms
- Equation of a Circle
- Arcs and Sectors
- Algebraic Proof
- Rational Number
- Trigonometric Graphs
- Volume
- Upper and Lower Bounds
- Functions and Transforming Functions
- Cones and Spheres
- Iteration
- Financial Calculations and Product Rule
- Pre-Calculus and Area under a Curve
- Vetors
- Sine and Cosine Rule
- Algebraic Fractions
- Quadratic Simultaneous Equations
- Gradient and Rate of Change 1
- Gradient and Rate of Change 2

**Turing**

- Using a Calculator
- Revision of Brackets, Substitution and Solving Linear Equations
- Gradient and Rate of Change
- Arcs and Sectors
- Probability Tree Diagrams
- Venn Diagrams
- Volume
- Financial Calculations and Listing Outcomes
- Linear Simultaneous Equations
- Revision of Fractions
- Ratio Review
- Cones and Spheres
- Inequalities
- Trigonometry
- Revision of Percentages
- Rearranging Formulae
- Sampling
- Vectors
- Proportion Review
- Quadratics FOIL and Factorising
- Solving Quadratic Equations and Quadratic Graphs
- Transformations 1
- Transformations 2
- Further Algebra
- Direct Proportion Graphs and Problems
- Inverse Proportion

**Year 11:**

**Foundation**

Unit 1: Factors, Multiples and primes

Unit 2: Equations and inequalities

Unit 3: Fractions, Decimals and percentages

Unit 4: Ratio and proportions

Unit 5: Area, perimeter and volume

Unit 6: Pythagoras, Trigonometry 2

Unit 7: Transformation 2

Unit 8: Averages and Statistics

Unit 9: Circles cylinders and cones

Unit 10: Indices and standard form

Unit 11: similarity and congruence

Unit 12: Vectors

Unit 13: Simultaneous equations

Unit 14: Rearranging Equations

Unit 15: Quadratic Equations 2

**Higher**

Unit 1: Similarity and congruence.

Unit 2: Graphs and trigonometric functions

Unit 3: Cumulative Frequency

Unit 4 : Box plots and histograms

Unit 5: Quadratic, sketching circles cubes reciprocals.

Unit 6: Circle theorems

Unit 7: Algebraic Fractions

Unit 8: changing the subject of a formula.

Unit 9: Rationalising surds and proofs

Unit 10: Vectors and geometric proofs

Unit 11: Exponentials. Series. Geometric

Unit 12: Gradient and area under graphs

Unit 13: Direct and inverse proportions

Unit 14: Iterations

## KS5

**Year 12 & 13:**

**Mathematics A-Level:** Students study a variety of topics across the two years of A Level Mathematics.

The Pearson Edexcel Level 3 Advanced GCE in Mathematics consists of three externally examined papers.

Students must complete all assessment in May/June in any single year.

Paper 1: Pure Mathematics 1 – Written examination: 2 hours (calculator)

33.33% of the qualification

100 marks

Content:

Proof; algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation; integration and vectors.

Paper 2: Pure Mathematics 2 – Written examination: 2 hours (calculator)

33.33% of the qualification

100 marks

Content:

Proof; algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; differentiation; integration and numerical methods.

Paper 3: Statistics and Mechanics – Written examination: 2 hours (calculator)

33.33% of the qualification

100 marks

The paper comprises of two sections: section A (statistics) and section B (mechanics).

Content:

Section A – Statistical sampling; data presentation and interpretation; probability; statistical distributions and statistical hypothesis testing.

Section B – Quantities and units in mechanics, kinematics, forces and newton’s laws and moments.

**Further Mathematics A-Level:** Students study a variety of topics across the two years of A Level Further Mathematics.

The Pearson Edexcel Level 3 Advanced GCE in Further Mathematics consists of four externally examined papers.

Students must complete all assessment in May/June in any single year.

Paper 1: Further Pure Mathematics 1 – Written Examination: 1 hour and 30 minutes (calculator)

25% of the qualification

75 marks

Content:

Proof; complex numbers; matrices; further algebra and functions; further calculus and further vectors.

Paper 2: Further Pure Mathematics 2 – Written Examination: 1 hour and 30 minutes (calculator)

25% of the qualification

75 marks

Content:

Complex numbers; further algebra and functions; further calculus, polar coordinates, hyperbolic functions and differential equations.

Paper 3: Further Mathematics Option 1 – Written Examination: 1 hour and 30 minutes (calculator)

25% of the qualification

75 marks

Students take one of the following options:

3A: Further Pure Mathematics 3

3B: Further Statistics 1

3C: Further Mechanics 1

3D: Decision Mathematics 1

Paper 4: Further Mathematics Option 2 – Written Examination: 1 hour and 30 minutes (calculator)

25% of the qualification

75 marks

Students take one of the following options:

4A: Further Pure Mathematics 4

4B: Further Statistics 1

4C: Further Statistics 2

4D: Further Mechanics 1

4E: Further Mechanics 2

4F: Decision Mathematics 1

4G: Decision Mathematics 2

## Independent Learning Resources

**Key Stage 3 **

- Use
**www.mymaths.co.uk**to watch video clips of topics that you have missed or found difficult. Use the practice questions to get immediate feedback on how well you are doing on a particular topic. Homework will sometime be set from mymaths. Mymaths passwords will be shared by your class teacher at the start of each year. **www.nrich.maths.org.uk**– This website has a lot of interesting problems that helps to develop your problem solving skills.- CGP revision guides can also be purchased to help with your revision

**Key Stage 4**

Pearson Edexcel

- Pearson Edexcel Revision book
- Use https://mathsapp.pixl.org.uk to watch video clips of topics that you have missed or found difficult. Use the practice questions to get immediate feedback on how well you are doing on a particular topic. Homework will sometime be set from this platform. PiXl app passwords will be shared by your class teacher at the start of each year.
- This is a website that has help videos on all Maths topics. It explains how to do each topic and then provides worksheets, questions and past exam questions on these topics to do. It also does “5 quick questions”, which is excellent way of practicing Maths every day.