Powers and Standard Form: Book 12



INforM – Interactive Notebooks for Mathematics

Book 12 - Powers and Standard Form

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Powers and Standard Form

The activities are related to work in Ma2 Number and algebra.

Students should be taught to use index notation [for example, 8 2, 8 to the power minus two thirds] and index laws for multiplication and division of integer powers; use standard index form, expressed in conventional notation and on a calculator display

A variety of real life situations are used to place the topic in context.

Organisation of the materials

The Smart Notebook file is saved as ‘Book 12 Powers and standard form.notebook’

It consists of 7 pages of which the first is the title page, shown above.

There are 4 pages to support the activity. Page 6 is a blank page. Page 7 contains teacher notes which are amplified here.

The first activity

On page 2 of the Notebook is the first activity ‘Work out the size of Jupiter’ and serves as an introduction to the notation.

The information about the earth is presented in both standard form and long integer formats to encourage discussion about how standard form ‘works’.

Pupils can come to the board to measure both the Earth and Jupiter. The rulers and pictures have been scaled so that the earth measures ‘1cm’. This will allow pupils to carry out a simple multiplication to find the diameter of Jupiter. This could be done as a whole class and then pupils can work individually on mini-white boards to write down how they think the number would be written in Standard Form. Discussions that arise could cover the fact that the first part of the notation has to be ................
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