New
New
Year 7

# Translating objects

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

New
New
Year 7

# Translating objects

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

## 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).

## Starter quiz

### 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.
Q3.
$${4 \choose 3}$$ is an example of notation. This type of notation can be used to describe a translation.
Q4.
Which of the following shows a translation by $${-2 \choose 3}$$?
Correct Answer: An image in a quiz
Q5.
Which vector matches this translation?
$${2 \choose 0}$$
$${-2 \choose 0}$$
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

## Exit quiz

### 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?
Q2.
can be used to help replicate translating the whole object in one movement.
a ruler
a pair of compasses
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?
Q5.
This shape is translated. $$D^{\prime}$$ is at $$(120, -12)$$ what are the coordinates of $$C^{\prime}$$?
Correct Answer: (120, -7), 120, -7, (120,-7), 120,-7
Q6.
Which of these is a translation?
Correct Answer: An image in a quiz