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Math lesson plan · 2nd grade (Year 3 in England) · 60 minutes

Quarter, half and three-quarter turns both ways

Geometry

England: Y2 GeometryEngland: Y3 Geometry

Objective and success criteria

Students will: Quarter, half and three-quarter turns both ways.

  • 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: Position and direction

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 (Position and direction). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A robot faces west. It makes a quarter turn clockwise. Which way does it face now? (north / east / south / west) → northPrompt: Clockwise goes north → east → south → west.
  2. In a row, from left to right: grapes, strawberry, apple, pear, banana. What is just to the left of the pear? (apple / banana / pear / grapes) → applePrompt: Find the pear first.
  3. A robot faces east. It makes a three-quarter turn clockwise. Which way does it face now? (north / east / south / west) → northPrompt: Clockwise goes north → east → south → west.

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: Quarter, half and three-quarter turns both ways. 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.
  • Example: A robot faces west. It makes a three-quarter turn anticlockwise (counter-clockwise). Which way does it face now?
  • Step 1: 3 quarter turns anticlockwise from west gives north.
  • Answer: north
  • 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.
  1. A robot faces east. It makes a three-quarter turn anticlockwise (counter-clockwise). Which way does it face now? (north / east / south / west) → southPrompt: Anticlockwise goes north → west → south → east.
  2. How many quarter turns make a half turn? → 2Prompt: Stand up and turn a quarter at a time.

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.
  1. How many quarter turns make a half turn? → 2Prompt: Stand up and turn a quarter at a time.
  2. A robot faces south. It makes a half turn anticlockwise (counter-clockwise). Which way does it face now? (north / east / south / west) → northPrompt: Anticlockwise goes north → west → south → east.

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: Position and direction.
  • 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-2.

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

eurekami

Quarter, half and three-quarter turns both ways

Name

Date

Score/ 8

  1. Question 1

    How many half turns make a full turn?

    Answer

  2. Question 2

    A robot faces west. It makes a three-quarter turn anticlockwise (counter-clockwise). Which way does it face now?

    • A. north
    • B. east
    • C. south
    • D. west
  3. Question 3

    The minute hand points at 3. It makes a three-quarter turn clockwise. Which number does it point at now?

    123456789101112

    Answer

  4. Question 4

    How many quarter turns make a three-quarter turn?

    Answer

  5. Question 5

    The minute hand points at 6. It makes a half turn clockwise. Which number does it point at now?

    123456789101112

    Answer

  6. Question 6

    How many quarter turns make a half turn?

    Answer

  7. Question 7

    A robot faces south. It makes a three-quarter turn anticlockwise (counter-clockwise). Which way does it face now?

    • A. north
    • B. east
    • C. south
    • D. west
  8. Question 8

    A robot faces north. It makes a half turn anticlockwise (counter-clockwise). Which way does it face now?

    • A. north
    • B. east
    • C. south
    • D. west

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Answer key: Quarter, half and three-quarter turns both ways

  1. 1. 2

  2. 2. A. north

  3. 3. 12

  4. 4. 3

  5. 5. 12

  6. 6. 2

  7. 7. D. west

  8. 8. C. south