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Year 10
Foundation

Checking and securing understanding of basic angle facts

I can confidently calculate with angles at a point, angles on a line and vertically opposite angles.

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New
New
Year 10
Foundation

Checking and securing understanding of basic angle facts

I can confidently calculate with angles at a point, angles on a line and vertically opposite angles.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. Angles that meet around a point sum to 360°
  2. Angles that make a straight line sum to 180°
  3. Vertically opposite angles are equal.

Common misconception

Angles on a straight line sum to 180°

Angles that meet about a single point on a straight line sum to 180°. If the angles are not adjacent, then they may not necessarily sum to 180°.

Keywords

  • Angle - An angle is a measure of turn. It is often displayed as the rotation between two line segments.

  • Sector - A sector is the region formed between two radii and their connecting arc.

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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Starter quiz

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6 Questions

Q1.
A __________ is the region formed between two radii and their connecting arc.
circle
circumference
diameter
Correct answer: sector
Q2.
What is the size of the angle marked $$x$$?
An image in a quiz
67°
73°
Correct answer: 113°
127°
Q3.
What is the size of the angle marked $$x$$?
An image in a quiz
Correct answer: 67°
73°
113°
127°
Q4.
The size of the angle marked $$x$$ is °.
An image in a quiz
Correct Answer: 240, two hundred and forty
Q5.
Match each angle to its size.
An image in a quiz
Correct Answer:∠BCD,113°

113°

Correct Answer:∠CDA,92°

92°

Correct Answer:∠ABC,90°

90°

Correct Answer:∠DAB,65°

65°

Q6.
The three letter notation for the marked angle is ∠ .
An image in a quiz
Correct Answer: FMA, AMF

Exit quiz

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6 Questions

Q1.
Angles around a point sum to °.
Correct Answer: 360, three hundred and sixty
Q2.
Angles that meet at a point on a straight line sum to °.
Correct Answer: 180
Q3.
Vertically opposite angles are __________.
conjugate
Correct answer: equal
supplementary
Q4.
The size of ∠BEA is 70°. Therefore the size of the obtuse angle ∠CEB is °.
An image in a quiz
Correct Answer: 110, one hundred and ten
Q5.
The size of ∠BEA is 70°. Therefore the size of the acute angle ∠DEC is °.
An image in a quiz
Correct Answer: 70, seventy
Q6.
The size of ∠BEA is 70°. Therefore the size of the reflex angle ∠AEB is °.
An image in a quiz
Correct Answer: 290, two hundred and ninety