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# Mathematics

 Subject: Mathematics Contact: Mrs S Blears-Chalmers

### Overview:

As one of the core subjects, Mathematics is studied by all students at Key Stages 3 and 4. The traditional topics of Number, Algebra, Shape and Data Handling are re-enforced with problem solving and real life applications.

Mathematics is taught by enthusiastic and dynamic teachers who are dedicated to ensuring every student reaches their potential.

### Overview:

Students in Key Stage 3 are taught in ability groups for Mathematics. Problem solving and real life applications are developed through various teaching strategies including Maths Mastery. Students are encouraged to discuss and justify their explanations in order for them to develop their deeper understanding of the concepts.

### Curriculum Content

Year

Autumn term

Spring Term

Summer Term

7

Place Value

Multiplication and Division

Working with units

Angles

Symmetry

Understand and use fractions

Fractions of amounts

Multiplying and Dividing by decimals

Order of operations

Introduction to algebra

Percentages

Handling data

8

Primes and factorising

Positive and negative numbers

Sequences, expressions and equations

Triangles and Quadrilaterals, and angles parallel lines

Length and area (parallelograms and trapezia)

Percentage change

Ratio and Rate

Rounding

Circumference and area of a circle

3D shapes and nets

Surface area and Volume

Statistics

9

Understand linear graphs and their equations

Use direct and inverse proportion in context

Understand and compare numbers in standard form

Recognise, interpret and investigate non-linear sequences

Find the product of binomials

Rearrange formulae from familiar contexts

Use standard constructions with a pair of compasses and a straight edge

Know and apply the criteria for congruence of triangles

Understand and use Pythagoras’ Theorem

Derive and use rules for interior and exterior angle sums of polygons

Form and solve linear equations and inequalities, including with unknowns on both sides

Find graphical solutions to linear and quadratic equations, including simultaneous linear equations.

Find graphical solutions in a variety of non-linear contexts, including reciprocal, exponential and piecewise linear relationships.

Understand the relationship between relative frequency and theoretical probability, calculating probability for independent events

Use appropriate measures of central tendency and spread for grouped data

Plot scatter graphs and understand correlation

Draw and describe enlargements, reflections, rotations and translations

Understand similarity and solve problems involving similar triangles

Use sine ratio to solve problems involving missing sides and angles in right angle triangles

### Overview

The Key Stage 4 curriculum follows the Edexcel new GCSE Specification. There are two tiers of entry – Foundation and Higher.

Students are taught in ability groups and build on the foundations of the Key Stage 3 curriculum.

Higher attaining students are given the opportunity to study Further Maths, allowing them to develop higher level thinking in preparation for A-Level studies.

#### Exam board and course

Maths GCSE – Edexcel

Further Maths Certificate - AQA

### Curriculum Content

Year

Autumn Term

Spring Term

Summer Term

10

Higher

Number recap/multiplicative reasoning

Real life graphs

Linear graphs and co-ordinate geometry

Averages and range

Representing and interpreting data

Scatter graphs

Foundation

Properties of shapes, parallel lines and angle facts

Interior and exterior angles of polygons

Statistics and sampling

The averages

Perimeter and area

3D forms and volume

Real-life graphs

Straight-line graphs

Higher

Recap algebra

Inequalities

Accuracy and bounds

Transformations

Constructions, loci and bearings

Probability

Foundation

Transformations I: translations, rotations and reflections

Transformations II: enlargements and combinations

Right-angled triangles: Pythagoras and trigonometry

Higher

Similarity and congruence (2D and 3D)

Volume of cones and spheres

Further statistics

Histograms

Sampling

Cumulative frequency and box plots

Foundation

Probability I

Probability II

11

Higher

Graphs of trigonometrical functions

Further trigonometry

Quadratics, expanding more than two brackets, sketching graphs, graphs of circles, cubes and quadratics

Circle theorems

Circle geometry

Changing the subject of formulae (more complex), algebraic fractions, solving equations arising from algebraic fractions, rationalising surds, proof

Foundation

Recap area and perimeter

Pythagoras’ Theorem and trigonometry

Circles, cylinders, cones and spheres

Recap properties of shapes (angles)

Interior and exterior angles of polygons

Constructions, loci and bearings

Exam preparation

Higher

Vectors and geometric proof

Reciprocal and exponential graphs; Gradient and area under graphs

Direct and inverse proportion

Foundation

Fractions and reciprocals

Indices and standard form

Similarity and congruence 2D shapes

Vectors

Rearranging equations

Graphs of cubic, reciprocals and simultaneous equations

Revision

### Enrichment opportunities:

Revision/Homework Club – Thursday after school

### Useful websites to support learning

 www.hegartymaths.com website www.mymaths.co.uk website www.corbettmaths.com website www.desmos.com website  