**Table of Contents**

**Algebra | Unit 1 | Expressions and Formula**

Page 3| Changing the Subject of a Formula

**Algebra | Unit 2 | Inequalities**

Page 1 | Number Lines

Page 2 | Solving Inequalities

**Algebra | Unit 3 | Equations**

Page 2 | Equations with Brackets

Page 3 | Equations with Fractions

**Algebra | Unit 4 | Graphs**

Page 1 | Straight Line Graphs ( y = mx + c )

**Algebra | Unit 5 | Patterns and Sequences**

Page 1 | Basic Patterns

Page 2 | Linear Sequences & n^{th} term

Page 3 | Quadratic Equations

**Shape, Space and Measure | Unit 1 |Transformations**

Page 1 | Congruent Shapes

Page 2 | Translations

Page 3 | Rotations

Page 4 | Reflections

Page 5 | Enlargements

**Shape, Space and Measure | Unit 2 |Symmetry**

Page 1 | Line Symmetry

Page 2 | Rotational Symmetry

**Shape, Space and Measure | Unit 2 |Coordinates**

Page 1 | Plotting Coordinates

**Shape, Space and Measure | Unit 3 |Perimeter, Area, Volume**

**Shape, Space and Measure | Unit 4 |Measurement**

Page 1 | Estimation and Accuracy

Page 2 | Scales

Page 3 | Conversions (Metric & Imperial)

Page 4 | Area and Volume Unit Conversions

**Shape, Space and Measure | Unit 5 |Trigonometry**

Page 1 | Triangle Construction

**Shape, Space and Measure | Unit 6 |Pythagoras**

Page 1 | Pythagoras Theorem

Page 2 | Line Segments

**Shape, Space and Measure | Unit 7 |Angles**

Page 1 | Summary of Drawing &Reading Angles

Page 2 | Angle Sum in Different Shapes

Page 3 | Angles in a Polygon

Page 4 | Angles and Parallel Lines

Page 5 | Perpendicular Bisectors

Page 6 | Angle Bisectors

Page 7 | Constructing Loci

**Shape, Space and Measure | Unit 8 |Shapes**

Page 1 | Properties of Circles

Page 2 | Properties of Polygons

Page 3 | Properties of Triangles

Page 4 | 3D Shapes: Nets & Faces

**Shape, Space and Measure | Unit 8 |Time**

Page 1 | Units of Time

Page 2 | 12 & 24 Hour Clocks

Page 3 | Timetables

**Number | Unit 1 |Place Value**

**Number | Unit 2 |Distance, Speed and Time**

**Number | Unit 3 |Rounding and estimating**

**Number | Unit 4 |Ratio and Proportion **

Page 1 | Equivalent Ratios

Page 2 | Division with Ratios

Page 3 | Scale Drawings & Maps

Page 4 | Proportions

**Number | Unit 5 |Primer numbers, factors and multiples**

**Number | Unit 6 |Powers and roots**

**Number | Unit 7 |Decimals**

Page 1 | X 10, 100 & 1000

Page 2 | ÷10, 100 & 1000

Page 3 | Multiplying and Dividing by Whole Numbers

**Number | Unit 8 |Positive and negative numbers**

Page 1 | Operations with Positive and Negative Numbers

**Number | Unit 9 |Operations**

Page 1 | BIDMAS Rule

Page 2 | Multiplication & Division (Different Methods)

Page 3 | Converting Fractions, Decimals & Percentages

**Number | Unit 10 |Fractions**

Page 1 | Equivalent Fractions

Page 2 | Simplifying Fractions

Page 3 | Mixed Numbers

Page 4 | Improper Fractions

Page 5 | Ordering Fractions

Page 6 | Addition & Subtraction

Page 7 | Multiplication & Division

**Number | Unit 11 |Percentages**

Page 1 | Percentages of Quantities

Page 2 | Interest, Wages & Quantities

**Number | Unit 12 |Standard Index form**

Page 1 | Decimals in Standard Form

Page 2 | Writing in Standard Form

Page 3 | Addition and Subtraction un Standard Form

Page 4 | Multiplication and Division in Standard Form

**Handling Data | Unit 1 |Collecting & Recording Data Representing Data**

Page 1 | Tables & Tally Diagrams

Page 2 | Frequency Tables

Page 3 | Stem & Leaf Diagrams

**Handling Data | Unit 2 |Representing Data **

Page 1 | Bar Charts

Page 2 | Line Graphs

Page 3 | Pictograms

Page 4 | Frequency Polygons

Page 5 | Scatter Diagrams

Page 6 | Pie Charts

**Handling Data | Unit 2 |Averages **

Page 1 | Mean, Median, Mode & Range

Page 2 | Averages of Grouped Data

**Handling Data | Unit 2 |Probability**

Page 1 | Basic Probability

Page 2 | Sum of Probabilities

Page 3 | Probability of Combined Events

*Solving Equations *

**L.O to be able to find the solution to double barrel equations involving multiple terms in the equation **

**Solving equ****ations** is the same as **solving formula** but equations can be more **complex** in the sense that there can be the **same term on both si****des**. For instance some equations can take the form of:

This makes it more complex when solving the equation and finding the **exact value** of x.

The way to tackle equations like these is to get **all the X’s on the same side**. Thereafter applying the **inverses** will allow you to find the exact value of x.

For instance with the equation:

**4x + 6 = 2x + 8**

Note how both methods give you the **same solution**. This is because both methods start by **placing the x terms on the same side**. This can either be done by –**2x**which would **cancel **out the **x terms **on the **LHS **as method 1 shows. However the same can be done by **-4x**which would **cancel **out the **x terms **on the **RHS **as method 2 suggests.

The latter steps are ones you should now be familiar with from solving formulae and inequalities: these steps simply involve applying the **inverse operations**.

**Example 1:** Solve the following equation 6x – 7 = 2x + 9

**Example 2 :** Solve the following equation -9x + 3 = 3x + 15