See below to download some worksheet resources that lead an investigation into the sum of
interior angles in polygons.
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baby interior angles.
An introduction to sum
of interior angles in a polygon and finding angles in a regular polygon.
Starter: Some simple recap questions on angles on a line, as this rule will used to «show» why
the interior angle sum for a triangle is 180.
A nice animation showing a smiley moving around the perimeter of a triangle, turning through
the interior angles until it gets back to where it started.
This is a flexible lesson on
the interior angle sum of an n - gon.
Main: A nice animation showing a smiley moving around the perimeter of a quadrilateral, turning through
the interior angles until it gets back to where it started.
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.
For example «what did the people who were looking at equilateral triangles find out about
the interior angles?».
Although we didn't get
any interior angles with this recent batch of spy photos, we can discern what the next - gen model will bring based on what we've seen before.