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Math lesson plan · 5th grade (Year 6 in England) · 45 minutes

Predict the size of a product: multiplying as scaling

Fractions

CCSS 5.NF.B.5.ACCSS 5.NF.B.5.BEngland: Y6 Fractions

Objective and success criteria

Students will: Predict the size of a product: multiplying as scaling.

  • 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: Multiply fractions

Leads to: the next skill in this area.

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Multiply fractions). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Kai has 12 metres of ribbon and uses 3/4 of it. How many metres is that? → 9Prompt: "Of" means multiply: 3/4 × 12.
  2. Liam has 24 metres of ribbon and uses 2/4 of it. How many metres is that? → 12Prompt: "Of" means multiply: 2/4 × 24.
  3. Omar has 21 metres of ribbon and uses 1/3 of it. How many metres is that? → 7Prompt: "Of" means multiply: 1/3 × 21.

Hook · 5 min

  • Cut a pizza or a strip of paper unevenly and ask whether the pieces are really halves or quarters.
  • Share the objective: Predict the size of a product: multiplying as scaling. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Without calculating: is 89 × 5/3 less than, greater than or equal to 89?
  • Step 1: 5/3 > 1
  • Step 2: greater than 89
  • Answer: greater than 89
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 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. Without calculating: is 16 × 5/5 less than, greater than or equal to 16? (less than 16 / greater than 16 / equal to 16) → equal to 16Prompt: Is 5/5 less than 1, more than 1, or exactly 1?
  2. Which product is greatest? 27 × 7/8, 27 × 1/2, 27 × 3/4 (27 × 7/8 / 27 × 1/2 / 27 × 3/4) → 27 × 7/8Prompt: Every product uses 27, so compare the fractions.

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which product is greatest? 23 × 1/2, 23 × 3/2, 23 × 7/8 (23 × 1/2 / 23 × 3/2 / 23 × 7/8) → 23 × 3/2Prompt: Every product uses 23, so compare the fractions.
  2. Without calculating: is 40 × 5/3 less than, greater than or equal to 40? (less than 40 / greater than 40 / equal to 40) → greater than 40Prompt: Is 5/3 less than 1, more than 1, or exactly 1?

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: Multiply fractions.
  • 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

  • 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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Predict the size of a product: multiplying as scaling

Name

Date

Score/ 8

  1. Question 1

    Without calculating: is 50 × 1/4 less than, greater than or equal to 50?

    • A. less than 50
    • B. greater than 50
    • C. equal to 50

  2. Question 2

    Which product is greatest? 38 × 1/2, 38 × 7/8, 38 × 3/2

    • A. 38 × 1/2
    • B. 38 × 7/8
    • C. 38 × 3/2

  3. Question 3

    Without calculating: is 49 × 1/4 less than, greater than or equal to 49?

    • A. less than 49
    • B. greater than 49
    • C. equal to 49

  4. Question 4

    Which product is greatest? 59 × 3/4, 59 × 1/2, 59 × 7/8

    • A. 59 × 3/4
    • B. 59 × 1/2
    • C. 59 × 7/8

  5. Question 5

    Without calculating: is 13 × 3/3 less than, greater than or equal to 13?

    • A. less than 13
    • B. greater than 13
    • C. equal to 13

  6. Question 6

    Which product is greatest? 36 × 1/2, 36 × 5/4, 36 × 7/8

    • A. 36 × 1/2
    • B. 36 × 5/4
    • C. 36 × 7/8

  7. Question 7

    Without calculating: is 84 × 3/2 less than, greater than or equal to 84?

    • A. less than 84
    • B. greater than 84
    • C. equal to 84

  8. Question 8

    Which product is greatest? 25 × 3/4, 25 × 7/8, 25 × 1/2

    • A. 25 × 3/4
    • B. 25 × 7/8
    • C. 25 × 1/2

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Answer key: Predict the size of a product: multiplying as scaling

  1. 1. A. less than 50

  2. 2. C. 38 × 3/2

  3. 3. A. less than 49

  4. 4. C. 59 × 7/8

  5. 5. C. equal to 13

  6. 6. B. 36 × 5/4

  7. 7. B. greater than 84

  8. 8. B. 25 × 7/8