Checking and securing understanding of interior angles
I can find the interior angle of any regular polygon or deduce the interior angle of an irregular polygon.
Checking and securing understanding of interior angles
I can find the interior angle of any regular polygon or deduce the interior angle of an irregular polygon.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Any polygon can be split into triangles.
- Using these triangles you can demonstrate the rule for the interior angle sum of a polygon.
- A missing interior angle in any polygon can be found.
- The number of sides in a regular polygon can be determined from the size of the interior angle.
- The sum of the interior angles is the same, regardless of whether the polygon is regular.
Keywords
Polygon - A polygon is a flat (2D), closed figure made up of straight line segments.
Regular - A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Common misconception
The size of an interior angle in a regular shape cannot be found unless the size of the other angles are given.
A regular shape has the property that all of its interior angles are equal in size. This means that the size of each interior angle is very easy to find if, for example, the sum of the interior angles is known.
To help you plan your year 10 maths lesson on: Checking and securing understanding of interior angles, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking and securing understanding of interior angles, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
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The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Angles unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
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