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Math lesson plan 路 5th grade (Year 6 in England) 路 30 minutes

Distances along grid lines between points

Geometry

CCSS 5.G.A.2CCSS 6.NS.C.8England: Y6 Geometry

Objective and success criteria

Students will: Distances along grid lines between points.

  • 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 路 4 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 路 3 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: Distances along grid lines between points. Read the success criteria together.

I do: model it 路 7 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 路 6 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 路 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket 路 3 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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Distances along grid lines between points

Name

Date

Score/ 6

  1. Question 1

    A rectangle has opposite corners at (3, 1) and (7, 6). What is its perimeter in grid units?

    xy12345678910123456789100

    Answer

  2. Question 2

    How far apart are (7, 3) and (7, 6), in grid units?

    xy12345678910123456789100PR

    Answer

  3. Question 3

    A rectangle has opposite corners at (4, 3) and (8, 8). What is its perimeter in grid units?

    xy12345678910123456789100

    Answer

  4. Question 4

    How far apart are (8, 1) and (8, 5), in grid units?

    xy12345678910123456789100PR

    Answer

  5. Question 5

    A rectangle has opposite corners at (3, 2) and (7, 6). What is its perimeter in grid units?

    xy12345678910123456789100

    Answer

  6. Question 6

    How far apart are (1, 3) and (1, 6), in grid units?

    xy12345678910123456789100PR

    Answer

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Answer key: Distances along grid lines between points

  1. 1. 18

  2. 2. 3

  3. 3. 18

  4. 4. 4

  5. 5. 16

  6. 6. 3