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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
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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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Share activities with pupils
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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.

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.

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°.

There is a check for this misconception in the second learning cycle of this lesson. Depending on your pupils, you may wish to adapt this check to hide the justifications until after pupils have decided whether the statement is true or false or remove them and have pupils justify to each other.
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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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