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.
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Lesson details
Key learning points
- Angles that meet at a point have a sum of 360 degrees.
- To calculate missing angles you can use addition and subtraction.
- Use mental or written strategies to calculate with angles up to 360 degrees.
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.
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.
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 (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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Starter quiz
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6 Questions
Q1.
Match the shape to its properties.
A polygon with five sides and five vertices.
A polygon with six sides and six 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?
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.
Q4.
Four full turns is equal to °.
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? °
Q6.
Sofia turns a full turn in two moves. The first move is 197°. The second move is °.
Exit quiz
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6 Questions
Q1.
Which of the angles fit to complete a full turn?
A
B
Q2.
What is the missing value in this bar model? °
Q3.
Complete the sentence. ° is needed to complete the angles about a point.
Q4.
Complete the sentence. ° is needed to complete the angles about a point.
Q5.
There are six angles of equal size about a point. Each angle has a value of °
Q6.
What is the size of angle a? Look for equal angles. °
