**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 **

*Basic Operations *

**L.O – To recall the concept of BIDMAS and recognise its importance in calculations**

**BIDMAS** tells us the order that we carry out calculations

This tells us that any brackets need to be dealt with first, followed by indices (i.e. powers), then division, multiplication, addition and finally subtraction. It is essential to carry out the calculation in this order, otherwise the answer calculated will be incorrect.

**Example 1:**

Calculate 3 + 7 x 10 – 2

- Remember BIDMAS
- There are no brackets, indices or divisions in this calculation, so the first operation to deal with is multiplication

3 + 7 x 10 – 2

3 + 70 – 2

- Next, we need to deal with the addition

3 + 70 – 2

73 – 2

- The last operation is subtraction

73 – 2 = **71**

**Example 2:**

Calculate 50 – 6^{2}

- Remember BIDMAS
- BIDMAS tells us indices come before subtraction

50 – 6^{2}

50 – 36

- Next, carry out the subtraction

50 – 36 = **14**

**Example 3:**

Calculate (1 + 4)^{2} x 3 – 25

- Remember BIDMAS
- BIDMAS tells us brackets come first

(1 + 4)^{2} x 3 – 25

5^{2} x 3 – 25

- Next, we need to deal with the indices

5^{2} x 3 – 25

25 x 3 – 25

- According to BIDMAS, multiplication comes next

25 x 3 – 25

125 – 25

- Finally, deal with the subtraction

125 – 25 = **100**