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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

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

Leads to: the next skill in this area.

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

Warm-up · 5 min

  • Quick retrieval from earlier learning (Divide a three-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. 945 ÷ 9 = ? → 105Prompt: Divide the hundreds first, then the tens, then the ones.
  2. Sofia cycles 427 km in 7 weeks, the same distance each week. How many kilometres is that per week? → 61Prompt: Share 427 into 7 equal parts.
  3. 6 × ▢ = 168. What number is ▢? → 28Prompt: Use the inverse operation.

Hook · 5 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 four-digit number by a one-digit number. 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: 2298 ÷ 6 = ?
  • Step 1: 22 ÷ 6 = 3 r 4
  • Step 2: 49 ÷ 6 = 8 r 1
  • Step 3: 18 ÷ 6 = 3
  • Step 4: 2298 ÷ 6 = 383
  • Answer: 383
  • 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. 1088 ÷ 8 = ? → 136Prompt: Use short division, place by place.
  2. Work out 3263 ÷ 4. Give the remainder. → 3Prompt: Divide place by place.

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. Work out 2945 ÷ 9. Give the remainder. → 2Prompt: Divide place by place.
  2. 8936 ÷ 8 = ? → 1117Prompt: Use short division, place by place.

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 three-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

  • 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 four-digit number by a one-digit number

Name

Date

Score/ 8

  1. Question 1

    1296 ÷ 6 = ?

    Answer

  2. Question 2

    Work out 3136 ÷ 9. Give the remainder.

    Answer

  3. Question 3

    5390 ÷ 2 = ?

    Answer

  4. Question 4

    Work out 7675 ÷ 8. Give the remainder.

    Answer

  5. Question 5

    3175 ÷ 5 = ?

    Answer

  6. Question 6

    Work out 5713 ÷ 3. Give the remainder.

    Answer

  7. Question 7

    7816 ÷ 8 = ?

    Answer

  8. Question 8

    Work out 3775 ÷ 3. Give the remainder.

    Answer

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

  1. 1. 216

  2. 2. 4

  3. 3. 2695

  4. 4. 3

  5. 5. 635

  6. 6. 1

  7. 7. 977

  8. 8. 1