Introduction

In this topic you are going to look at simplifying expressions containing indices. Indices are a form of shorthand. Any number or letter multiplied by itself can be written using an index. For example, 7 x 7 x 7 x 7 can be written as 7 LaTeX: ^4 . Here you will be introduced to some laws of indices, which are rules that simplify working with calculations involving indices.

Warm Up

First complete the skill checker on page 2 of Mastering Mathematics Book 3. (For Modules 1-9 – unless otherwise stated - use your hard copy Book 3, though of course you can use the digital copy of Book 3 if you prefer).

If you need a refresher on squares and cubes try this MyMaths lesson:

EXPLORE - Squares and cubes (MyMaths) [Not available on sample course]

Working through your course book

Start by watching these videos, which introduce the topic nicely:

Read and make notes on pages 2-3 and 5-6, copying out the worked examples, if you think it will help you.

Now see if you can answer the Band 2 questions on pages 7-8.
COMPLETE - 1.1 worksheet Index notation

If you would like more practice, then work through these lessons on the MyMaths website:

EXPLORE – Indices 1 (MyMaths) [Not available on sample course]

You may also want to watch the following Corbettmaths video:

Plenary

End today’s lesson by playing a game which uses indices:

PLAY – Indices - linking lines activity (MyMaths) [Not available on sample course]

Support activities for this topic

The Band 1 questions on page 7 will help build your skills on this topic.

Extension activities for this topic

If you would like more of a challenge on this topic, go to page 8 and attempt the Band 3 questions.

Check Your Answers

CHECK - 1.1 worksheet answers Index notation