Topic One (1.1): Rules of Indices
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 74. 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) Links to an external site. [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) Links to an external site. [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) Links to an external site. [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