New
New
Know that the angles in a full turn sum to 360 degrees and use this to solve problems
I can recall that angles in a full turn sum to 360 degrees and use this to solve problems.
Lesson 8 of 15
New
New
- Year 5
Know that the angles in a full turn sum to 360 degrees and use this to solve problems
I can recall that angles in a full turn sum to 360 degrees and use this to solve problems.
Lesson details
Key learning points
- There are 360 degrees in a full turn.
- Use mental or written strategies to calculate with angles up to 360 degrees.
Keywords
Turn - To turn means to rotate about a point.
Degrees - A degree is a unit of measure for angles.
Common misconception
The largest angle that can be created is a 360 degree angle or one full turn.
Explore examples in everyday life where rotations are greater than one full turn. Discuss how multiples of 180 degrees or 360 degrees are often used to describe movements in sports and other contexts.
Encourage pupils to think about efficient calculation when looking to solve problems using their knowledge of 360 degrees. Discuss the difference between repeated subtraction or adding all then subtracting from the whole, using a bar model to support.
Teacher tip
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).
Prior knowledge starter quiz
6 Questions
Q1.Complete the sentence. A right angle is °.
Complete the sentence. A right angle is °.
Q2.Match the shape to its properties.
Match the shape to its properties.
Q3.This is a trapezium. Look carefully at the vertices and the angles inside the shape. Complete the sentence. The trapezium has acute angle(s).
This is a trapezium. Look carefully at the vertices and the angles inside the shape. Complete the sentence. The trapezium has acute angle(s).

Q4.Match the description to the angle type.
Match the description to the angle type.
Q5.Which of these is the best estimate for the angle shown?
Which of these is the best estimate for the angle shown?

1°
25°
40°
Q6.Sofia faces north. She rotates until she is facing north again. Sofia has rotated degrees.
Sofia faces north. She rotates until she is facing north again. Sofia has rotated degrees.
Assessment exit quiz
6 Questions
Q1.Two full turns is equal to °.
Two full turns is equal to °.
Q2.Ten full turns is equal to °.
Ten full turns is equal to °.
Q3.Three and a half full turns is equal to °.
Three and a half full turns is equal to °.
Q4.The code turns a character by the number of degrees shown. Andeep wants the character to turn a full turn. What does he need to add to complete a full turn?
The code turns a character by the number of degrees shown. Andeep wants the character to turn a full turn. What does he need to add to complete a full turn?

Q5.Sofia turns a full turn in two moves. The first move is 285°. The second move is °.
Sofia turns a full turn in two moves. The first move is 285°. The second move is °.
Q6.A boat turns 45°, then another 80°. How many more degrees does the boat need to turn to complete a full turn? ° is needed.
A boat turns 45°, then another 80°. How many more degrees does the boat need to turn to complete a full turn? ° is needed.