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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Recognise multiples of a number

Number sense

CCSS 4.OA.B.4England: Y5 Multiplication and division

Objective and success criteria

Students will: Recognise multiples 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: Find factor pairs of a number

Leads to: Common multiples and the lowest common multiple

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Find factor pairs of a number). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 5 × __ = 45. Complete the factor pair. → 9Prompt: What do you multiply 5 by to get 45?
  2. How many factors does 48 have? (Count 1 and 48 too.) → 10Prompt: List factor pairs: 1 × ?, 2 × ?, 3 × ? …
  3. Hiro is arranging 40 photos in a rectangle with no gaps. Which layout works? (4 × 11 / 5 × 10 / 20 × 3 / 4 × 10) → 4 × 10Prompt: Rows × columns must equal 40.

Hook · 6 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Recognise multiples 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: Which is a multiple of 8?
  • Step 1: 8 × 14 = 112
  • Step 2: 112
  • Answer: 112
  • 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. Which is a multiple of 8? (88 / 89 / 95 / 86) → 88Prompt: A multiple of 8 is in the 8 times table (or beyond it).
  2. How many multiples of 5 are there from 1 to 77? → 15Prompt: What is the biggest multiple of 5 that is not more than 77?

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. Priya says 105 is a multiple of 5. True or false? (true / false) → truePrompt: Divide 105 by 5.
  2. Which is a multiple of 10? (141 / 138 / 140 / 149) → 140Prompt: A multiple of 10 is in the 10 times table (or beyond it).

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Find factor pairs of a number.
  • Use concrete materials: place value chart.
  • 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: Common multiples and the lowest common multiple.
  • 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-4.

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

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Recognise multiples of a number

Name

Date

Score/ 8

  1. Question 1

    How many multiples of 9 are there from 1 to 75?

    Answer

  2. Question 2

    Which is a multiple of 8?

    • A. 105
    • B. 111
    • C. 104
    • D. 102
  3. Question 3

    Sam says 127 is a multiple of 9. True or false?

    • A. true
    • B. false
  4. Question 4

    How many multiples of 11 are there from 1 to 40?

    Answer

  5. Question 5

    Which is a multiple of 9?

    • A. 99
    • B. 100
    • C. 97
    • D. 107
  6. Question 6

    Hana says 65 is a multiple of 4. True or false?

    • A. true
    • B. false
  7. Question 7

    How many multiples of 11 are there from 1 to 52?

    Answer

  8. Question 8

    Which is a multiple of 10?

    • A. 91
    • B. 90
    • C. 99
    • D. 88

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Answer key: Recognise multiples of a number

  1. 1. 8

  2. 2. C. 104

  3. 3. B. false

  4. 4. 3

  5. 5. A. 99

  6. 6. B. false

  7. 7. 4

  8. 8. B. 90