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.

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.

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Lesson details

Key learning points

  1. There are 360 degrees in a full turn.
  2. 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 (2024), 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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6 Questions

Q1.
Complete the sentence. A right angle is °.
Correct Answer: 90, ninety
Q2.
Match the shape to its properties.
Correct Answer:Rectangle,A polygon with four sides and four right angles.

A polygon with four sides and four right angles.

Correct Answer:Hexagon ,A polygon with six sides and six vertices.

A polygon with six sides and six vertices.

Correct Answer:Octagon ,A polygon with eight sides and eight vertices.

A polygon with eight sides and eight vertices.

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).
An image in a quiz
Correct Answer: 1, one
Q4.
Match the description to the angle type.
Correct Answer:Acute angle,An angle smaller than 90°

An angle smaller than 90°

Correct Answer:Obtuse angle,An angle between 90° and 180°

An angle between 90° and 180°

Correct Answer:Reflex angle,An angle greater than 180° but smaller than 360°

An angle greater than 180° but smaller than 360°

Q5.
Which of these is the best estimate for the angle shown?
An image in a quiz
Correct answer: 10°
25°
40°
Q6.
Sofia faces north. She rotates until she is facing north again. Sofia has rotated degrees.
Correct Answer: 360

6 Questions

Q1.
Two full turns is equal to °.
Correct Answer: 720
Q2.
Ten full turns is equal to °.
Correct Answer: 3,600, 3600
Q3.
Three and a half full turns is equal to °.
Correct Answer: 1,260, 1260
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?
An image in a quiz
Correct Answer: 252
Q5.
Sofia turns a full turn in two moves. The first move is 285°. The second move is °.
Correct Answer: 75
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.
Correct Answer: 235