**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

*Writing Formula *

**L.O to be able to write and understand algebraic formulae for word problems**

Formulae are a way of **rewriting problems** or **describing a rule**. They are written in **algebraic form** which means that **letters** are used. However the main element that shows that something is a **formulae** is that it will contain an **= sign**. Without even thinking about it, you have already been using formulae in maths before; for instance when working out the **area of a triangle**.

Here the **base** and **perpendicular height**have been **abbreviated**, shortened, to** b** and** h**. This is exactly the point of formulas, to make solving problems later on easier, in such a way that any measurement can be applied to the formulae. Similarly you have already used **formulas** when working out other problems (notably areas) for **example:**

Note how each of these formulas have an = sign. Now you are familiar with what formulas look like, it is now time to substitute values into formula As shown above, **formulae** can be used to help solve problems. However you need to be able to **write formulae** before you can **solve** or manipulate them further. For instance if in a supermarket you see an **apple** for **20p** and you wanted to buy **3 apples**, you would mentally apply the following calculation: **1** apple is **20p** **2** apples are (20 X **2**) = 40p **3** apples are (20 X** 3**) = 60p So the **formula** to work out the cost of buying a number of apples is:

**Cost= 20 x number of apples being bought**

Cake baskets are £50 each. Samantha has many friends coming and wants a formula to help calculate the cost. In this example you would do as before: 1 basket = £50 **2** baskets are (50 X **2**) = £100 **3** baskets are (50 X **3**) = £150

**Cost = 50 x number of basket being bought**

**Example 1:** Jane is going to order some parcels online. Each parcel costs £5 but also has a small administration fee of £2.50 for each order processed. Write a formula to calculate the cost of one of Jane’s orders.

**Example 2**: Aqif is having a banquet. The cost of a 3 course meal per adults is £15, per child is £6 and for younger children is £3. There is also a fee of £35 for hiring the hall. Write a formula to calculate the cost of Aqif’s banquet.

**Example 3**: A group of 6 friends are making a fruit basket containing: apples at 60p each, pears at 40p and oranges at 80p each. They decide to split the cost of the basket equally between them. Write a formula for the cost of each person.

**Example 4**: Sarah is having a birthday party and wants to make 5 bags that contain a different number of toys (30p), sweets (50p) and messages (55p). Write a formula for a given number of items for 5 party bags.