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

Divide a three-digit number by a one-digit number

Multiplication and division

CCSS 4.NBT.B.6England: Y5 Multiplication and division

Objective and success criteria

Students will: Divide a three-digit number by a one-digit 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: Divide a two-digit number by a one-digit number

Leads to: Divide a four-digit number by a one-digit number; Multi-step word problems with whole numbers; Divide three-digit numbers by two-digit numbers

Materials: Counters for arrays, Multiplication grid, Base-ten blocks, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 6 min

  • Quick retrieval from earlier learning (Divide a two-digit number by a one-digit number). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 84 ÷ 6 = ? → 14Prompt: Split 84 into a multiple of 6 you know (like 60) and the rest.
  2. 68 fish are shared equally between 4 tanks. How many fish go in each? → 17Prompt: Work out 68 ÷ 4.
  3. 90 ÷ 2 = ? → 45Prompt: Split 90 into a multiple of 2 you know (like 20) and the rest.

Hook · 6 min

  • Show an array of chairs, eggs or windows and ask how many there are without counting one by one.
  • Share the objective: Divide a three-digit number by a one-digit 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: 965 ÷ 5 = ?
  • Step 1: 9 ÷ 5 = 1 r 4
  • Step 2: 46 ÷ 5 = 9 r 1
  • Step 3: 15 ÷ 5 = 3
  • Step 4: 965 ÷ 5 = 193
  • Answer: 193
  • 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. 375 ÷ 5 = ? → 75Prompt: Divide the hundreds first, then the tens, then the ones.
  2. Hana cycles 549 km in 9 weeks, the same distance each week. How many kilometres is that per week? → 61Prompt: Share 549 into 9 equal parts.

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. 7 × ▢ = 399. What number is ▢? → 57Prompt: Use the inverse operation.
  2. 135 ÷ 5 = ? → 27Prompt: Divide the hundreds first, then the tens, then the ones.

Watch out for

  • Thinking multiplying always makes a number bigger.
  • Dropping a zero in long multiplication when moving to the tens row.

Support and stretch

Support

  • Review first: Divide a two-digit number by a one-digit number.
  • Use concrete materials: counters for arrays.
  • 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: Divide a four-digit number by a one-digit number; Multi-step word problems with whole numbers; Divide three-digit numbers by two-digit numbers.
  • 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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Divide a three-digit number by a one-digit number

Name

Date

Score/ 8

  1. Question 1

    3 × ▢ = 531. What number is ▢?

    Answer

  2. Question 2

    Hana cycles 528 km in 6 weeks, the same distance each week. How many kilometres is that per week?

    Answer

  3. Question 3

    648 ÷ 9 = ?

    Answer

  4. Question 4

    9 × ▢ = 702. What number is ▢?

    Answer

  5. Question 5

    Sam cycles 760 km in 4 weeks, the same distance each week. How many kilometres is that per week?

    Answer

  6. Question 6

    828 ÷ 6 = ?

    Answer

  7. Question 7

    9 × ▢ = 504. What number is ▢?

    Answer

  8. Question 8

    Sofia cycles 248 km in 8 weeks, the same distance each week. How many kilometres is that per week?

    Answer

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Answer key: Divide a three-digit number by a one-digit number

  1. 1. 177

  2. 2. 88

  3. 3. 72

  4. 4. 78

  5. 5. 190

  6. 6. 138

  7. 7. 56

  8. 8. 31