New
New
Year 7

Describing a rotation's direction and size

I can understand the size and direction of rotation.

New
New
Year 7

Describing a rotation's direction and size

I can understand the size and direction of rotation.

Lesson details

Key learning points

  1. Rotations can be either clockwise or anti-clockwise.
  2. The size of the rotation is given in degrees.

Common misconception

"Right means clockwise" and "left means anti-clockwise"

This is only true when referencing the top of the object being rotated. Rotating "left" and "right" is incorrect for all other vertices.

Keywords

  • Clockwise - Clockwise is the direction that the hands of an analogue clock travel.

  • Anti-clockwise - Anti-clockwise is the opposite direction to which the hands of an analogue clock travel.

  • Degrees - The most common unit of measurement for angle. One whole turn is equal to 360 degrees, written 360°.

In the Cycle 2 , it is important to note that there are infinitely many answers (you can continue rotating the object through full turns) - this is why it states each rotation is under 360° (or one full turn).
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.
In which direction will this car be facing when it is rotated so its wheels touch the road?
An image in a quiz
Correct answer: left
right
Q2.
Which of these objects, when rotated by a quarter-turn, will fit into the space of this shape to complete a rectangle?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Complete this sentence: "When an object is rotated, the size of its angles are invariant. This means the lengths of the sides remain ."
Correct Answer: invariant, the same, same, identical, unchanged
Q4.
Sam transforms an object and its orientation has not changed. Which of these describes why the orientation has not changed?
The object has been rotated to become its image.
Correct answer: The object has been translated to become its image.
The object has been reflected to become its image.
Correct answer: The object has been rotated by a full turn.
The object has been rotated by less than a full turn.
Q5.
Which of these is a rotation of this object?
An image in a quiz
image 1
Correct answer: image 2
Correct answer: image 3
image 4
image 5
Q6.
Which of these is a rotation of this object?
An image in a quiz
Correct answer: image 1
image 2
Correct answer: image 3
image 4

6 Questions

Q1.
In which direction is this object being rotated?
An image in a quiz
Correct answer: clockwise
anti-clockwise
the object is not being rotated
Q2.
This arrow is currently pointing in the W (west) compass direction. If this arrow is rotated anti-clockwise, what is the first compass direction that it passes through?
An image in a quiz
N (north)
E (east)
Correct answer: S (south)
W (west)
Q3.
Match the size an angle in degrees to its description.
Correct Answer:90°,a quarter turn

a quarter turn

Correct Answer:180°,a half turn

a half turn

Correct Answer:270°,a three-quarter turn

a three-quarter turn

Correct Answer:360°,a full turn

a full turn

Correct Answer:720°,two full turns

two full turns

Q4.
Jun stands on the spot and rotates clockwise by a quarter turn, and then rotates clockwise by a further three-quarter turn. In total, how many degrees has Jun rotated by?
Correct Answer: 360, 360°, 360 degrees
Q5.
Jun stands on the spot and rotates anti-clockwise by an angle between three-quarters of a full turn and one full turn. Which of these is a sensible answer for the size of Jun's rotation?
30°
150°
210°
Correct answer: 300°
390°
Q6.
Which of these is a suitable description for this rotation?
An image in a quiz
Rotated anti-clockwise by 30°.
Rotated clockwise by 45°.
Correct answer: Rotated clockwise by 120°.
Rotated anti-clockwise by 180°.