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Math lesson plan · 5th grade (Year 6 in England) · 60 minutes

Translate points and shapes on a grid

Geometry

CCSS 8.G.A.1England: Y5 GeometryEngland: Y6 Geometry

Objective and success criteria

Students will: Translate points and shapes on a grid.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Coordinates in the first quadrant

Leads to: the next skill in this area.

Materials: Rulers and protractors, Squared or dotted paper, Shape cut-outs, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Coordinates in the first quadrant). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 6 min

  • Show a photo of a building, a tile pattern or a road sign and ask what shapes and angles students can spot.
  • Share the objective: Translate points and shapes on a grid. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Model one question from the student sheet, thinking aloud.
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.

You do: independent practice · 17 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.

Watch out for

  • Thinking a square turned on its corner is no longer a square.
  • Reading the wrong scale on a protractor.

Support and stretch

Support

  • Review first: Coordinates in the first quadrant.
  • Use concrete materials: rulers and protractors.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-5.

Free lesson plan from eurekami.com/lesson-plan-builder

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Translate points and shapes on a grid

Name

Date

Score/ 8

  1. Question 1

    Point A (1, 1) is moved 1 right and 4 up. Where does it end up?

    xy12345678910123456789100A

    Answer

  2. Question 2

    A triangle's corner moves from (3, 1) to (8, 6). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  3. Question 3

    Point A (3, 3) is translated 2 right and 3 up. What are its new coordinates?

    xy12345678910123456789100A

    Answer

  4. Question 4

    A triangle's corner moves from (4, 4) to (6, 7). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  5. Question 5

    Point A (1, 4) is moved 4 right and 4 up. Where does it end up?

    xy12345678910123456789100A

    Answer

  6. Question 6

    A triangle's corner moves from (4, 1) to (6, 3). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

  7. Question 7

    Point A (2, 6) is translated 1 right and 3 down. What are its new coordinates?

    xy12345678910123456789100A

    Answer

  8. Question 8

    A triangle's corner moves from (2, 2) to (7, 4). Every corner moves the same way. How many units right did the triangle move?

    xy12345678910123456789100AA′

    Answer

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Answer key: Translate points and shapes on a grid

  1. 1. (2, 5)

  2. 2. 5

  3. 3. (5, 6)

  4. 4. 2

  5. 5. (5, 8)

  6. 6. 2

  7. 7. (3, 3)

  8. 8. 5