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

Find a half, third or quarter of a number

Fractions

England: Y2 Fractions

Objective and success criteria

Students will: Find a half, third or quarter of a number.

  • 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: Equal parts: halves, thirds, quarters; Sharing and grouping

Leads to: Fractions of an amount

Materials: Fraction strips or a fraction wall, Paper strips to fold, Number lines, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Equal parts: halves, thirds, quarters; Sharing and grouping). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.

Hook · 6 min

  • Cut a pizza or a strip of paper unevenly and ask whether the pieces are really halves or quarters.
  • Share the objective: Find a half, third or quarter of a number. 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: What is 1/2 of 6?
  • Step 1: 6 ÷ 2 = 3
  • Answer: 3
  • 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. What is 1/4 of 32? → 8Prompt: Share 32 into 4 equal groups.
  2. What is 1/3 of 30? → 10Prompt: Share 30 into 3 equal groups.

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. What is 1/3 of 18? → 6Prompt: Share 18 into 3 equal groups.
  2. What is 1/2 of 6? → 3Prompt: Share 6 into 2 equal groups.

Watch out for

  • Thinking a bigger denominator means a bigger fraction (1/8 > 1/4).
  • Adding the denominators when adding fractions (1/2 + 1/3 = 2/5).

Support and stretch

Support

  • Review first: Equal parts: halves, thirds, quarters.
  • Use concrete materials: fraction strips or a fraction wall.
  • 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: Fractions of an amount.
  • 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

Find a half, third or quarter of a number

Name

Date

Score/ 8

  1. Question 1

    What is 3/4 of 8?

    Answer

  2. Question 2

    What is 1/3 of 6?

    Answer

  3. Question 3

    What is 3/4 of 12?

    Answer

  4. Question 4

    What is 1/4 of 16?

    Answer

  5. Question 5

    What is 1/4 of 20?

    Answer

  6. Question 6

    What is 1/2 of 12?

    Answer

  7. Question 7

    What is 3/4 of 16?

    Answer

  8. Question 8

    What is 1/3 of 15?

    Answer

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Answer key: Find a half, third or quarter of a number

  1. 1. 6

  2. 2. 2

  3. 3. 9

  4. 4. 4

  5. 5. 5

  6. 6. 6

  7. 7. 12

  8. 8. 5