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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.
SIGMA Notation (Linear)
This file illustrates the use of the Sigma notation particularly with linear expressions. It begins with a static sheet showing four examples including some non-linear examples suitable for class discussion.
The second sheet derives the formula for the sum of the first n natural numbers using the formula for the sum of an Arithmetic Series and an interactive example shows how the formula can be used. This formula is both illustrated with numerical examples and proved on the third sheet.
The fourth sheet shows that Ʃkn=kƩn and explains how to use the formula when the sum is not from 1.
The next two sheets provide examples of finding sums of arithmetic series where each step in the process can be revealed.
The final sheet deals with the problem of finding the sum of all the multiples of a given integer within a given range. The problem is expressed in words and using the Sigma notation and each step in the process can be revealed or hidden.
Note:
This program was designed by be viewed on a screen with a resolution of 1024 x 768. Users may have to adjust the resolution of their screen for the pages to display as was originally intended. The program uses macros which need to be enabled on users’ machine.
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SIGMA notation (linear) 664 KB
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