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      Checking and securing understanding of polygons

      Lesson details

      Learning outcome

      I can recognise and name polygons with five or more sides and recognise the difference between regular and irregular shapes.

      Key learning points

      1. The prefix is derived from Ancient Greek.
      2. A regular polygon has sides that are all equal and interior (inside) angles that are all equal.
      3. An irregular polygon has sides that are not equal or interior (inside) angles that are not equal.

      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.

      • Irregular - An irregular polygon has sides that are not equal or interior (inside) angles that are not equal.

      Common misconception

      The name for a shape only applies to the regular version of that shape. E.g. An irregular pentagon is just a shape, as pentagons must have 5 equal sides.

      The name of a shape is known based on the number of sides and these do not have to be regular.

      Teacher tip

      If appropriate, consider playing a game where pupils have to draw a named shape and they earn a point if they draw a different picture from the teacher. The teacher should always draw the regular version of the shape.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      An equilateral triangle has __________ equal angles.

      no
      two
      Correct answer: three

      Q2.
      A rhombus always has __________.

      four angles of equal size
      four angles of different size
      Correct answer: four sides of equal length
      four sides of different length

      Q3.
      A rectangle always has __________.

      Correct answer: four angles of equal size
      four angles of different size
      four sides of equal length
      four sides of different length

      Q4.
      A square always has __________.

      Correct answer: four angles of equal size
      four angles of different size
      Correct answer: four sides of equal length
      four sides of different length

      Q5.
      A square has length 5 cm. Its perimeter is cm.

      Correct Answer: 20, twenty, 20 cm, 20cm

      Q6.
      A rhombus has a base of length 5 cm. Which statement is true about its perimeter?

      Its perimeter is less than 20 cm.
      Correct answer: Its perimeter is equal to 20 cm.
      Its perimeter is more than 20 cm.

      6 Questions

      Q1.
      A polygon has sides that are all equal and interior (inside) angles that are all equal.

      Correct Answer: regular

      Q2.
      An polygon has sides that are not equal or interior (inside) angles that are not equal.

      Correct Answer: irregular

      Q3.
      Which quadrilaterals are always regular?

      parallelograms
      rectangles
      rhombi
      Correct answer: squares
      trapezia

      Q4.
      Why is the octagon in the image not regular?

      An image in a quiz
      Not all of its interior angles are the same size.
      Correct answer: Not all of its sides are the same length.
      Both of the above.

      Q5.
      The perimeter of the heptagon is cm.

      An image in a quiz
      Correct Answer: 70, seventy

      Q6.
      A circle is __________.

      a regular polygon
      an irregular polygon
      Correct answer: not a polygon

      To help you plan your 10 maths lesson on: Checking and securing understanding of polygons, download all teaching resources for free and adapt to suit your pupils' needs...