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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. Liam has 6 metres of ribbon and uses 2/3 of it. How many metres is that? → 4Prompt: "Of" means multiply: 2/3 × 6.
  2. Ethan has 35 metres of ribbon and uses 1/5 of it. How many metres is that? → 7Prompt: "Of" means multiply: 1/5 × 35.
  3. Mei has 25 metres of ribbon and uses 1/5 of it. How many metres is that? → 5Prompt: "Of" means multiply: 1/5 × 25.

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 80 × 2/5 less than, greater than or equal to 80? (less than 80 / greater than 80 / equal to 80) → less than 80Prompt: Is 2/5 less than 1, more than 1, or exactly 1?
  2. Which product is greatest? 23 × 7/8, 23 × 3/4, 23 × 1/2 (23 × 7/8 / 23 × 3/4 / 23 × 1/2) → 23 × 7/8Prompt: Every product uses 23, 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? 32 × 3/2, 32 × 1/2, 32 × 7/8 (32 × 3/2 / 32 × 1/2 / 32 × 7/8) → 32 × 3/2Prompt: Every product uses 32, so compare the fractions.
  2. Without calculating: is 44 × 3/3 less than, greater than or equal to 44? (less than 44 / greater than 44 / equal to 44) → equal to 44Prompt: Is 3/3 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

    Which product is greatest? 22 × 3/4, 22 × 1/2, 22 × 7/8

    • A. 22 × 3/4
    • B. 22 × 1/2
    • C. 22 × 7/8

  2. Question 2

    Without calculating: is 68 × 2/5 less than, greater than or equal to 68?

    • A. less than 68
    • B. greater than 68
    • C. equal to 68

  3. Question 3

    Which product is greatest? 30 × 3/2, 30 × 3/4, 30 × 7/8

    • A. 30 × 3/2
    • B. 30 × 3/4
    • C. 30 × 7/8

  4. Question 4

    Without calculating: is 33 × 5/3 less than, greater than or equal to 33?

    • A. less than 33
    • B. greater than 33
    • C. equal to 33

  5. Question 5

    Which product is greatest? 32 × 3/4, 32 × 5/4, 32 × 1/2

    • A. 32 × 3/4
    • B. 32 × 5/4
    • C. 32 × 1/2

  6. Question 6

    Without calculating: is 57 × 3/2 less than, greater than or equal to 57?

    • A. less than 57
    • B. greater than 57
    • C. equal to 57

  7. Question 7

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

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

  8. Question 8

    Without calculating: is 67 × 5/5 less than, greater than or equal to 67?

    • A. less than 67
    • B. greater than 67
    • C. equal to 67

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

  1. 1. C. 22 × 7/8

  2. 2. A. less than 68

  3. 3. A. 30 × 3/2

  4. 4. B. greater than 33

  5. 5. B. 32 × 5/4

  6. 6. B. greater than 57

  7. 7. A. 25 × 3/2

  8. 8. C. equal to 67