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Year 7

Translating objects

I can translate objects from information given in a variety of forms.

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New
New
Year 7

Translating objects

I can translate objects from information given in a variety of forms.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. It can be helpful to choose a vertex and translate that.
  2. Once all the vertices have been translated, the image can be drawn.
  3. The image and the object should be congruent.

Common misconception

Students may translate vertically before horizontally.

Remind the students that the column vectors work in the same way as coordinates.

Keywords

  • Vector - A vector can be used to describe a translation.

  • Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.

  • Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

  • Vertex - A vertex is the point where two or more line segments meet. The plural is vertices.

If your classroom allows, you could make the seats a grid and ask the students to translate themselves by a given vector. Only some students would be able to move due to the finite grid and before moving you could ask who cannot move.
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).

Video

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Starter quiz

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6 Questions

Q1.
An object is translated 4 right and 3 down. What number would be in the second position of the vector for this translation $$1^{st} \choose 2^{nd}$$?
Correct Answer: -3, - 3, negative three, negative 3
Q2.
The vector $${-3 \choose 7}$$ shows the translation by 3 units and up by 7 units.
Correct Answer: left
Q3.
$${4 \choose 3}$$ is an example of notation. This type of notation can be used to describe a translation.
Correct Answer: vector, column vector
Q4.
Which of the following shows a translation by $${-2 \choose 3}$$?
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
Q5.
Which vector matches this translation?
An image in a quiz
$${2 \choose 0}$$
$${-2 \choose 0}$$
Correct answer: $${4 \choose 0}$$
$${-4 \choose 0}$$
Q6.
Has a translation taken place? $$A(3,4) \mapsto A^{\prime}(5,7) $$, $$B(5,8) \mapsto B^{\prime}(7,11) $$ and $$C(0,5) \mapsto C^{\prime}(2,7) $$?
Yes
Correct answer: No

Exit quiz

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6 Questions

Q1.
Q1) On this keyboard, which letter do you type next if you start on 'r' and move 5 to the right and up 1?
An image in a quiz
Correct Answer: o, O, 0
Q2.
can be used to help replicate translating the whole object in one movement.
a ruler
a pair of compasses
Correct answer: tracing paper
a protractor
Q3.
The coordinate (3, 7) is translated right by 4 and up by 1. What is the coordinate of the image?
Correct Answer: (7, 8), (7,8), 7, 8, 7,8
Q4.
A translation by $${4 \choose -3}$$ is being applied to object ABCDE. Which vertex has been translated?
An image in a quiz
Correct Answer: B, b
Q5.
This shape is translated. $$D^{\prime}$$ is at $$(120, -12)$$ what are the coordinates of $$C^{\prime}$$?
An image in a quiz
Correct Answer: (120, -7), 120, -7, (120,-7), 120,-7
Q6.
Which of these is a translation?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz