Investigating the sum of interior angles in polygons

See below to download some worksheet resources that lead an investigation into the sum of interior angles in polygons. They are deliberately aimed at higher ability pupils who have the initiative to access the posed questions. If you were to run this investigation with a lower ability group you may like to use the polygon worksheets but to get them to draw their own results table. That way you can later verbally introduce the questions rather than relying on their literacy skills on a wordy worksheet.

I have found a nice plenary to this lesson is to show them how you can split an n-sided polygon up into n – 2 triangles and therefore calculate the sum of the interior angles as 180(n – 2) degrees.

Click here to download the resource

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3 Responses

  1. great work sheet says:

    i have searched the net and i was more than glad when i found the worksheet.
    thank you very much

  2. Richard Wade says:

    This is a great example of discovery based learning. There’s still a place for using a protractor but I often find the inaccuracies in measurement make the patterns more difficult to spot. If your students have access to Geogebra or other dynamic geometry software then that helps. It’s also a lot quicker!
    Here’s an activity I created on the same lines
    http://www.teachmaths-inthinking.co.uk/activities/interior-angles.htm

    Thanks for sharing your resources
    Richard

  1. 20/12/2011

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