**Table of Contents**

** Unit 1 | Algebra**

Page 1 | Expressions and Formulae

Page 3| Solving Linear Equations

Page 4| Expanding and Factorising

Page 5| Factorising Quadratics and expanding double brackets

Page 6| Patterns and Sequences

Page 7| Simultaneous Equations

Page 8| Changing the subject of a Formula

Page 9| Adding , subtracting algebraic formulas

** Unit 2 |Graphs**

Page 1 | Straight line graphs

Page 2 | Graphs of Quadratic functions

** Unit 3 |Geometry and Measure **

Page 2 | Symmetry

Page 3 | Coordinates

Page 4 | Perimeter, Area, Volume

Page 6 | Measurement

Page 7 | Trigonometry

Page 8 | Pythagoras

Page 9 | Angles

Page 10 | Shapes

Page 11| Time

Page 12 | Locus

**Unit 4 | Numbers**

Page 1 | Speed, Distance and time

Page 2 | Rounding and estimating

Page 3 | Ratio and proportion

Page 4 | Factors, Multiples and primes

Page 5 | Powers and roots

Page 7 | Positive and negative numbers

Page 8 | Basic operations

Page 9 | Fractions

Page 10 | Percentages

** Unit 5 | Statistics and Probability **

Page 1 | Sampling data (MA)

Page 2 | Recording and representing data

Page 3 | Mean median range and mode

Page 4 | Standard deviation

**Unit 4 | Calculus **

*Symmetry*

**L.O – To be able to find the number of lines of symmetry and the order of rotational symmetry for a wide range of shapes**

**Line Symmetry :**

A **line of symmetry** divides the shape into two equal parts.

Each part is a **reflection** of the other.

If a shape is folded along it’s line of symmetry each part fits exactly on top of the other.

*Remember, a regular polygon has the same number of lines of symmetry as it has sides*

**Rotaional Symmetry :**

This is where you can rotate the shape into different positions that all look the same

A shape has **rotational symmetry** if it fits on top of itself more than once as it makes a complete turn.

The **order of rotational symmetry** is the number of times that the shape fits on
top of itself. This must be 2 or more.

The **“centre of rotation”** is the point about which the shape turns.

*Remember, a regular polygon has the same order of rotational symmetry as it has sides.*

**Questions :**

Draw all the lines of symmetry onto these shapes and write down the order of rotational symmetry.

Pick out the shapes with

- only one line of symmetry
- rotational symmetry of order 2

Mark with a cross the centre of rotation.

Shade one more square to make a pattern with one line of symmetry

Shade one more square to make a pattern with

rotational symmetry of order 2