New
New
Year 4

Explore, sort and classify triangles

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

New
New
Year 4

Explore, sort and classify triangles

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

Lesson details

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.

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.

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.

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.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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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

no equal sides and no equal angles

Correct Answer:C,two equal sides and two equal angles

two equal sides and two equal angles

Correct Answer:B,three equal sides and three equal angles

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

a right-angled isosceles triangle

Correct Answer:b,an equilateral triangle

an equilateral triangle

Correct Answer:c,a right-angled scalene triangle

a right-angled scalene triangle

Q6.
This shape is a right-angled triangle.
An image in a quiz
Correct Answer: scalene