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      Explore, sort and classify triangles

      Lesson details

      Learning outcome

      I can sort triangles in different ways based on their properties.

      Key learning points

      1. There are three types of triangle - equilateral, isosceles and scalene.
      2. Some triangles can also be described as right-angled triangles if one of the angles is equal to 90°
      3. Right-angled triangles can be classified as scalene or isosceles.

      Keywords

      • Right-angled triangle - A right-angled triangle has one 90° angle. Right-angled triangles can be classified as isosceles or scalene.

      • Equilateral triangle - Equilateral triangles have 3 equal sides and 3 equal angles.

      • Isosceles triangle - Isosceles triangles have 2 equal sides and 2 equal angles.

      • Scalene triangle - Scalene triangles have no equal sides and no equal angles.

      Common misconception

      Children might find it difficult to create triangles with equal angles.

      Allow time to play and explore constructing triangles using items such as lolly sticks and matchsticks. Develop children's understanding of angles in a triangle using angle strips to check whether the angles are equal or not.

      Teacher tip

      This lesson uses non-standard units of length such as matchsticks when comparing the lengths of the sides. There could be opportunities to also use standard units of measure, measuring the lengths of sides with a ruler. Pegboards are also used. All support children to construct and draw triangles.

      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.
      Which of these statements describe the properties of all triangles?

      Correct answer: 3 straight sides
      1 right angle
      Correct answer: 3 vertices
      2 sides the same length
      obtuse angles

      Q2.
      True or false. The images are all triangles.

      An image in a quiz
      True
      Correct answer: False

      Q3.
      Match the different triangles to their properties.

      An image in a quiz
      Correct Answer:A,no equal sides and no equal angles
      Correct Answer:C,two equal sides and two equal angles
      Correct Answer:B,three equal sides and three equal angles

      Q4.
      How many equal sides and equal angles does an isosceles triangle have?

      0
      1
      Correct answer: 2
      3

      Q5.
      A triangle with 3 equal sides and 3 equal angles is called an __________ triangle.

      equal
      isosceles
      Correct answer: equilateral
      scalene

      Q6.
      How many equal sides and equal angles does a scalene triangle have?

      Correct answer: 0
      1
      2
      3

      6 Questions

      Q1.
      Which of these is true for all right-angled triangles?

      They have 3 equal angles.
      They have 2 equal angles.
      Correct answer: They have 1 right-angle.
      They have 1 obtuse angle.

      Q2.
      These triangles have been sorted. What type of triangles are in this set?

      An image in a quiz
      scalene
      Correct answer: isosceles
      equilateral
      right-angled

      Q3.
      These triangles have been sorted. Which triangle has been incorrectly sorted?

      An image in a quiz
      Correct answer: a
      b
      c

      Q4.
      True or false. Right-angled triangles can be scalene or isosceles.

      Correct answer: True
      False

      Q5.
      Jacob has made these triangles. Match the triangle to the correct description.

      An image in a quiz
      Correct Answer:a,a right-angled isosceles triangle
      Correct Answer:b,an equilateral triangle
      Correct Answer:c,a right-angled scalene triangle

      Q6.
      This shape is a right-angled triangle.

      An image in a quiz
      Correct Answer: scalene

      To help you plan your 4 maths lesson on: Explore, sort and classify triangles, download all teaching resources for free and adapt to suit your pupils' needs...