Know that a regular polygon has sides that are the same length and angles that are the same size
Lesson details
Learning outcome
I know that a regular polygon has sides that are the same length and angles that are the same size.
Key learning points
- In a regular polygon, the sides are all the same length and the angles are all the same size
- In an irregular polygon the sides and angles are not all the same sizes
- Irregular polygons can have some angles and sides the same sizes
Keywords
Regular polygon - A polygon where all angles are equal and all side lengths are equal.
Irregular polygon - A polygon where not all angles are equal and / or not all side lengths are equal.
Interior angles - Interior angles are the angles formed inside a polygon by two of its sides.
Common misconception
Many polygons appear regular as all of the sides are the same length. However, it is possible (as the lesson shows) to have polygons which are the same length sides but different interior angles.
Pupils should have previous experience of right angles. Use a right angle 'measurer' to prove that some of the angles in a shape are greater than a right angle and some smaller; as the angles are not all equal, it is not a regular polygon.
Teacher tip
If you have access to two-dimensional shapes, it is recommended that you design the lesson to incorporate opportunities to explore the concepts covered using these. Pupils can sort them into polygons / not polygons then take the polygons and re-sort them into regular polygons / not regular polygons.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Match the shape to the correct name.
hexagon
square
pentagon
Q2.Which of these shapes has right angles?
Q3.Which of these shapes are squares?
Q4.Which of these are straight lines?
Q5.Select all the shapes that have only straight sides.
Q6.Select all the two-dimensional (2D) shapes.
Assessment exit quiz
6 Questions
Q1.Select all of the statements that are true of polygons.
Q2.Which of these shapes is a regular polygon?
Q3.Which of these shapes are regular polygons?
Q4.This shape has been made by putting number rods together. Select all of the statements that are true.
Q5.These shapes have been made by putting number rods together. Look closely at the sides shown by the lines. Which one is a regular polygon?
Q6.Select all of the statements that are true of regular polygons.
To help you plan your 4 maths lesson on: Know that a regular polygon has sides that are the same length and angles that are the same size, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 4 maths lesson on: Know that a regular polygon has sides that are the same length and angles that are the same size, 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.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
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 2 maths lessons from the Perimeter unit, dive into the full primary maths curriculum, or learn more about lesson planning.