New
New
Year 11
Higher

Checking and securing understanding of translations

I can describe a translation using column notation and carry out the translation of a point.

New
New
Year 11
Higher

Checking and securing understanding of translations

I can describe a translation using column notation and carry out the translation of a point.

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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.
  4. To translate, you need to know the distance left/right and up/down to move.

Keywords

  • 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.

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

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

  • Displacement - Displacement is the distance from the starting point when measured in a straight line.

Common misconception

Pupils may write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement.

Remind pupils that coordinates are horizontal before vertical and that is the same on a column vector.

Play the pin the tail on the elephant game on the whiteboard. Pupils can be blindfolded and attempt to pin the tail on the elephant and then describe using a vector how to move the tail onto the correct place.
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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6 Questions

Q1.
A transformation is a process that may change the size, orientation or of a shape.
Correct Answer: position, location
Q2.
Which of the following is not a transformation?
enlargement
reflection
Correct answer: refraction
rotation
translation
Q3.
Which is the correct mathematical term for a shape that can fit exactly on top of another using rotation, reflection or translation?
exact
identical
perfect
Correct answer: congruent
similar
Q4.
Which of the following happens when a translation takes place?
changes size
turning
flipping
Correct answer: sliding
changes size and position
Q5.
Which of the following is used to describe a translation?
angle
direction
scale factor
Correct answer: vector
line
Q6.
A point where two or more line segments meet is called a .
Correct Answer: vertex

6 Questions

Q1.
Displacement is the distance from the starting point when measured in a line.
Correct Answer: straight
Q2.
Match each vector to the displacement it describes.
Correct Answer:$$4\choose-3$$,4 right, 3 down

4 right, 3 down

Correct Answer:$$4\choose3$$,4 right, 3 up

4 right, 3 up

Correct Answer:$$-4\choose-3$$,4 left, 3 down

4 left, 3 down

Correct Answer:$$-4\choose3$$,4 left, 3 up

4 left, 3 up

Q3.
Which is the correct vector to translate the tail to the correct place on the elephant?
An image in a quiz
$$2\choose4$$
Correct answer: $$2\choose-4$$
$$-2\choose4$$
$$-2\choose-4$$
Q4.
Which is the correct vector to translate A to A'?
An image in a quiz
$$5\choose-2$$
$$-2\choose-5$$
Correct answer: $$5\choose2$$
$$-5\choose-2$$
$$-5\choose2$$
Q5.
Which is the correct vector to translate A to A'?
An image in a quiz
$$-2\choose3$$
$$3\choose-2$$
Correct answer: $$-3\choose2$$
$$-2\choose-3$$
$$-3\choose-2$$
Q6.
Translate shape ABC by $$-4\choose1$$.
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