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Math lesson plan · 3rd grade (Year 4 in England) · 30 minutes

Turns and compass directions

Geometry

England: Y3 Geometry

Objective and success criteria

Students will: Turns and compass directions.

  • 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: Compare angles with a right angle

Leads to: Angles as fractions of a full turn

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

Warm-up · 4 min

  • Quick retrieval from earlier learning (Compare angles with a right angle). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. How many right angles does an equilateral triangle have? → 0Prompt: A right angle is a square corner.
  2. How many right angles make a full turn? → 4Prompt: A quarter turn is one right angle.
  3. How many right angles does a regular hexagon have? → 0Prompt: A right angle is a square corner.

Hook · 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: Turns and compass directions. Read the success criteria together.

I do: model it · 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Lucia faces West and makes a three-quarter turn anticlockwise. Which direction is Lucia facing now?
  • Step 1: North
  • Answer: North
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 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.
  1. Sam faces South and makes a half turn clockwise. Which direction is Sam facing now? (North / East / South / West) → NorthPrompt: Clockwise goes North → East → South → West.
  2. How many degrees is a full turn? → 360Prompt: A full turn is 360°.

You do: independent practice · 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 · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. How many degrees is a half turn? → 180Prompt: A full turn is 360°.
  2. Diego faces North and makes a half turn clockwise. Which direction is Diego facing now? (North / East / South / West) → SouthPrompt: Clockwise goes North → East → South → West.

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: Compare angles with a right angle.
  • 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

  • Move on to: Angles as fractions of a full turn.
  • 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-3.

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

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Turns and compass directions

Name

Date

Score/ 6

  1. Question 1

    How many degrees is a half turn?

    Answer

  2. Question 2

    Ines faces South and makes a three-quarter turn clockwise. Which direction is Ines facing now?

    • A. North
    • B. East
    • C. South
    • D. West
  3. Question 3

    How many degrees is a quarter turn?

    Answer

  4. Question 4

    Ava faces West and makes a quarter turn clockwise. Which direction is Ava facing now?

    • A. North
    • B. East
    • C. South
    • D. West
  5. Question 5

    How many degrees is a full turn?

    Answer

  6. Question 6

    Elena faces South and makes a three-quarter turn anticlockwise. Which direction is Elena facing now?

    • A. North
    • B. East
    • C. South
    • D. West

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Answer key: Turns and compass directions

  1. 1. 180

  2. 2. B. East

  3. 3. 90

  4. 4. A. North

  5. 5. 360

  6. 6. D. West