**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 **

*Diagrams and Graphs *

**Tables**are a very**simple way**of**storing information**that we have gathered in a**neat way**.

- However, there are often different ways for us to present or sort that data so that it is easier to understand or find patterns.

- We can use
**different types of diagrams**to help us group numbers.**Two famous diagrams**that are used for this purpose are**Carroll diagrams**and**Venn diagrams**.

- A Carroll diagram is a table with headings for each column and row describing different numerical qualities. Every number in each column or row must have that quality.

**Example 1 :**

5. A **Venn diagram** is made up of circles with each circle containing numbers with a certain property.

6. If a **number has** **more than one of these properties**, it will be placed in the **space where **the **circles overlap**. If a number doesn’t have any of the properties, it will be placed outside the circles.

**Example 2 :**

We can use line graphs to illustrate how one quantity will affect how another quantity changes. Measurements will be recorded as points on the graph and then these points are joined together with lines.

**Example 3 :**

This **graph **shows the information about the amount of water a person **drinks** in **one day**.

**1) The following number need to be sorted into a verr diagram- ****8, 12, 7, 6, 7, 4, 64, 24**

**2) This is a Carroll diagrams. Sort the number 8, 17, 43 into it**

**3) Elana went for a walk. This is a distance –tune graph for her walk.**

What was happening between **10am** & **10.30 am** ?

How far did **Elaina** travel between **10.30** and **11am**?

**4) Children from three large cities are taking part is a swimming from competition. This table shows the number of children from each city and what they are participating in**

How many children from London are competing in the butterfly store?

How many children from Manchester are competing?

How many more children from Birmingham are doing the front stroke than children from Manchester?