New
New
Year 5

Know that the angles at a point sum to 360 degrees and use this to solve problems

I can recognise that angles at a point sum to 360° and use this to solve problems.

New
New
Year 5

Know that the angles at a point sum to 360 degrees and use this to solve problems

I can recognise that angles at a point sum to 360° and use this to solve problems.

Lesson details

Key learning points

  1. Angles that meet at a point have a sum of 360 degrees.
  2. To calculate missing angles you can use addition and subtraction.
  3. Use mental or written strategies to calculate with angles up to 360 degrees.

Common misconception

Pupils think that the whole 360 degrees must be composed of different sized angles.

Ensure pupils are exposed to examples where two or more of the angles summing to 360 degrees are the same.

Keywords

  • Point - A point is an exact location. It has no size, only position.

  • Sum - The sum is the total when numbers are added together.

Encourage pupils to look for angles that are the same size and visualise overlapping these angles to help determine whether they might be the same or not. Allow pupils to consider how angles can be composed of smaller sets of angles as well.
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.
Match the shape to its properties.
Correct Answer:Pentagon,A polygon with five sides and five vertices.

A polygon with five sides and five vertices.

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

A polygon with six sides and six vertices.

Correct Answer:Decagon,A polygon with 10 sides and 10 vertices.

A polygon with 10 sides and 10 vertices.

Q2.
This shape has 4 sides of equal length. What is the name of this shape?
An image in a quiz
Correct Answer: rhombus
Q3.
This is a trapezium. Look carefully at the vertices and the angles inside the shape. Complete the sentence. There are obtuse angles in the trapezium.
An image in a quiz
Correct Answer: 1, one
Q4.
Four full turns is equal to °.
Correct Answer: 1,440, 1440
Q5.
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: 293
Q6.
Sofia turns a full turn in two moves. The first move is 197°. The second move is °.
Correct Answer: 163

6 Questions

Q1.
Which of the angles fit to complete a full turn?
An image in a quiz
A
B
Correct answer: C
Q2.
What is the missing value in this bar model? °
An image in a quiz
Correct Answer: 134
Q3.
Complete the sentence. ° is needed to complete the angles about a point.
An image in a quiz
Correct Answer: 113
Q4.
Complete the sentence. ° is needed to complete the angles about a point.
An image in a quiz
Correct Answer: 17
Q5.
There are six angles of equal size about a point. Each angle has a value of °
An image in a quiz
Correct Answer: 60
Q6.
What is the size of angle a? Look for equal angles. °
An image in a quiz
Correct Answer: 40