Designed for OCR A Level mathematics.

1. Starter Sketch the graphs of y = x² – 2 and y = | x² – 2 | y = x² – 2

2. Starter Sketch the graphs of y = x² – 2 and y = | x² – 2 | y = | x² – 2 | y = | x² – 2 |

3. The modulus is defined as follows: Objective: to sketch graphs of modulus functions

4. In the Core 3 exam, you may be asked to sketch the graph of the modulus of a linear function such as y = | x + 2 |. Functions of this type always have a distinctive V shape. Use a table of values if you need to or just work out where the lines meet the axes. In this case, y = 0 when x = – 2 and x = 0 when y = 2. y = | x + 2 |

5. Core 3 & 4 Textbook Exercise 7A Page 117 Question 1

6. Plenary Use a graph to solve the equation | x – 1 | = 2 x = –1 x = 3