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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. Sam has 28 metres of ribbon and uses 1/4 of it. How many metres is that? → 7Prompt: "Of" means multiply: 1/4 × 28.
  2. Ben has 12 metres of ribbon and uses 1/2 of it. How many metres is that? → 6Prompt: "Of" means multiply: 1/2 × 12.
  3. Daniel has 8 metres of ribbon and uses 1/2 of it. How many metres is that? → 4Prompt: "Of" means multiply: 1/2 × 8.

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 70 × 3/2 less than, greater than or equal to 70? (less than 70 / greater than 70 / equal to 70) → greater than 70Prompt: Is 3/2 less than 1, more than 1, or exactly 1?
  2. Which product is greatest? 54 × 1/2, 54 × 5/4, 54 × 3/2 (54 × 1/2 / 54 × 5/4 / 54 × 3/2) → 54 × 3/2Prompt: Every product uses 54, 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. Without calculating: is 27 × 3/7 less than, greater than or equal to 27? (less than 27 / greater than 27 / equal to 27) → less than 27Prompt: Is 3/7 less than 1, more than 1, or exactly 1?
  2. Which product is greatest? 58 × 1/2, 58 × 5/4, 58 × 3/2 (58 × 1/2 / 58 × 5/4 / 58 × 3/2) → 58 × 3/2Prompt: Every product uses 58, so compare the fractions.

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 20 × 4/4 less than, greater than or equal to 20?

    • A. less than 20
    • B. greater than 20
    • C. equal to 20

  2. Question 2

    Which product is greatest? 43 × 5/4, 43 × 3/2, 43 × 7/8

    • A. 43 × 5/4
    • B. 43 × 3/2
    • C. 43 × 7/8

  3. Question 3

    Without calculating: is 66 × 5/8 less than, greater than or equal to 66?

    • A. less than 66
    • B. greater than 66
    • C. equal to 66

  4. Question 4

    Which product is greatest? 22 × 3/2, 22 × 5/4, 22 × 3/4

    • A. 22 × 3/2
    • B. 22 × 5/4
    • C. 22 × 3/4

  5. Question 5

    Without calculating: is 70 × 3/3 less than, greater than or equal to 70?

    • A. less than 70
    • B. greater than 70
    • C. equal to 70

  6. Question 6

    Which product is greatest? 48 × 3/2, 48 × 1/2, 48 × 5/4

    • A. 48 × 3/2
    • B. 48 × 1/2
    • C. 48 × 5/4

  7. Question 7

    Without calculating: is 16 × 3/2 less than, greater than or equal to 16?

    • A. less than 16
    • B. greater than 16
    • C. equal to 16

  8. Question 8

    Which product is greatest? 23 × 7/8, 23 × 3/2, 23 × 3/4

    • A. 23 × 7/8
    • B. 23 × 3/2
    • C. 23 × 3/4

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

  1. 1. C. equal to 20

  2. 2. B. 43 × 3/2

  3. 3. A. less than 66

  4. 4. A. 22 × 3/2

  5. 5. C. equal to 70

  6. 6. A. 48 × 3/2

  7. 7. B. greater than 16

  8. 8. B. 23 × 3/2