Year 6 Maths: Translation

Introduction to Translation

Hello Year 6! Today, we’re going to learn about a cool maths concept called translation. Translation is a way to move shapes around without changing their size or shape. Imagine you have a picture of a cat. If you slide that picture over to the right, that’s translation!

What is Translation?

Translation means shifting a shape in a straight line to a new position. The shape does not turn, flip, or change size.

• Key Point: When we translate a shape, we only change its position.

How to Translate a Shape

To translate a shape, we need to know two things:

1. Direction: Where do we want to move the shape? (Up, down, left, or right)
2. Distance: How far do we want to move it?

Example of Translation

• If we have a triangle at point (2, 3) and we want to move it 3 units right and 2 units up, we can write this as:
  • Starting point: (2, 3)
  • Translation: (2 + 3, 3 + 2) = (5, 5)

So, the triangle will now be at (5, 5).

Key Rules for Translation

1. Use Coordinates: We can use coordinates (x, y) to show where a shape is located.
2. Add the Translation Values: To find the new position, just add the translation values to the original coordinates.
3. Keep the Shape the Same: The shape must look exactly the same after translation.

Tips for Translating Shapes

• Draw a grid to help you see where to move the shape.
• Use a ruler to measure the distance accurately.
• Double-check your coordinates after translating!

Questions

Easy Level Questions

1. Translate the point (1, 1) 2 units right. What is the new point?
2. If we translate (3, 2) 1 unit left, where do we end up?
3. Move (0, 0) 3 units up. What are the new coordinates?
4. Translate (4, 5) 4 units left. What is the new position?
5. If we translate (2, 3) 2 units down, what are the new coordinates?
6. Move (5, 1) 3 units right. What is the new point?
7. Translate (3, 0) 2 units up. Where do we land?
8. What are the new coordinates of (2, 4) if we move it 2 units down?
9. If we move (6, 6) 3 units left, what are the new coordinates?
10. Translate the point (0, 5) 5 units down. What is the new position?

Medium Level Questions

11. Translate (1, 1) 3 units right and 1 unit up. What is the new point?
12. Move (4, 4) 2 units left and 3 units down. Where do we end up?
13. If we translate (5, 2) 1 unit left and 2 units up, what are the new coordinates?
14. What are the new coordinates of (3, 5) if we move it 3 units down and 1 unit right?
15. Move (2, 2) 4 units up and 2 units left. What is the new position?
16. If we translate (6, 7) 3 units right and 1 unit down, what are the coordinates?
17. Translate the point (1, 3) 5 units up and 2 units left. What is the new position?
18. Move (0, 9) 4 units left and 5 units down. Where do we land?
19. Translate (3, 0) 1 unit down and 4 units right. What are the new coordinates?
20. If we move (5, 5) 1 unit left and 3 units up, what is the new point?

Hard Level Questions

21. Translate the point (2, 2) 6 units left and 2 units up. What is the new position?
22. If we move (4, 7) 2 units down, then 3 units right, what are the new coordinates?
23. Translate (3, 3) 4 units down and 4 units left. Where do we end up?
24. What are the new coordinates of (1, 5) if we move it 5 units up and 3 units right?
25. If we translate (2, 2) 4 units left and then 2 units up, what is the final position?
26. Move (8, 4) 3 units down and 5 units left. What are the new coordinates?
27. Translate (0, 0) 6 units right and 1 unit down. What is the new point?
28. If we move (5, 5) 7 units left and 2 units up, what are the new coordinates?
29. Translate (10, 10) 3 units down and 4 units right. Where do we land?
30. Move (3, 6) 2 units left and 5 units down. What is the final position?

Answers and Explanations

Easy Level Answers

1. (3, 1)
2. (2, 2)
3. (0, 3)
4. (0, 5)
5. (2, 1)
6. (8, 1)
7. (3, 2)
8. (2, 2)
9. (3, 6)
10. (0, 0)

Medium Level Answers

11. (4, 2)
12. (2, 1)
13. (4, 4)
14. (4, 4)
15. (0, 6)
16. (9, 6)
17. (-1, 5)
18. (-4, 4)
19. (6, -1)
20. (4, 8)

Hard Level Answers

21. (-4, 4)
22. (4, 4)
23. (-1, -1)
24. (4, 10)
25. (-2, 4)
26. (3, 2)
27. (6, -1)
28. (-2, 7)
29. (13, 7)
30. (1, 1)

I hope this lesson on translation helps you understand how to move shapes around! Remember to practice by drawing shapes and translating them on your own. Happy learning!