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Year 8

Checking understanding of angles from KS2

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

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New
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Year 8

Checking understanding of angles from KS2

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

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. Angles that meet at a point can be identified in diagrams.
  2. Angles that make a straight line can be identified on a diagram.
  3. Vertically opposite angles can be identified on a diagram.

Keywords

  • Supplementary angles - Supplementary angles are a pair of angles that sum to 180°.

  • Conjugate angles - Conjugate angles are a pair of angles that sum to 360°.

Common misconception

In order for two angles to be supplementary, they must both lie about a point on a straight line.

For two angles to be supplementary, they must sum to 180°. They do not also need to both lie on a straight line.

Some students may mistakenly equate drawing a larger angle marker (an arc with a greater radius) with a larger angle. It is important to present angles in different ways: large angles labelled with small angle markers, and vice versa.
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.
Find: 180 − 47 = .
Correct Answer: 133
Q2.
Complete the sentence: 77° is ____________ angle.
Correct answer: an acute
a right
an obtuse
a reflex
Q3.
Which of these calculations gives a different answer to the others?
$$180 - 60\times2$$
$$360\div6$$
$$36 + 24$$
Correct answer: $$360-280+20$$
$$54 + {1\over30}\times180$$
Q4.
Which of these is the most accurate description of a polygon?
A 2D shape with at least one straight side.
All 2D shapes that are not circles are polygons.
Correct answer: A 2D shape made up from only straight line segments.
Triangles and squares are the only polygons.
Q5.
Which of these properties of a polygon always remain invariant when the polygon is reflected?
position
Correct answer: size of angles
Correct answer: size of sides
sense
Q6.
Which of these properties of a polygon always remain invariant when the polygon is positively enlarged?
position
Correct answer: size of angles
size of sides
Correct answer: sense
Correct answer: orientation

Exit quiz

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6 Questions

Q1.
The angles 119° and $$x$$° are supplementary angles. Find the size of angle $$x$$°.
51°
Correct answer: 61°
231°
241°
251°
Q2.
The size of angle $$d$$ is measured accurately. Which of these values shows the size of angle $$d$$, in degrees?
An image in a quiz
7°
57°
Correct answer: 83°
93°
278°
Q3.
The angles 167° and $$y$$° are conjugate angles. Angle $$y$$° is °.
Correct Answer: 193, 193°, 193 degrees, 193degrees
Q4.
Match the angle name to its size.
Correct Answer:acute,32°

32°

Correct Answer:right angle,90°

90°

Correct Answer:obtuse,179°

179°

Correct Answer:reflex,182°

182°

Correct Answer:one full turn,360°

360°

Q5.
Which of these statements about this diagram are accurate?
An image in a quiz
Angles $$e$$° and 125° are supplementary angles.
Correct answer: Angles $$e$$° and 125° are conjugate angles.
$$e$$ = 55.
Correct answer: $$e$$ is a major angle.
$$e$$ is a minor angle.
Q6.
QR is a line segment. Find the value of $$f+g+h+j$$.
An image in a quiz
Correct Answer: 327, 327°, 327 degrees, 327degrees