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Math lesson plan · 3rd grade (Year 4 in England) · 60 minutes

Dividing with 0 and 1

Multiplication and division

CCSS 3.OA.B.5England: Y4 Multiplication and division

Objective and success criteria

Students will: Dividing with 0 and 1.

  • 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: Division facts

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 · 6 min

  • Quick retrieval from earlier learning (Division facts). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 99 ÷ 9 = ? → 11Prompt: Think of the multiplication fact.
  2. 48 players are shared equally into 8 teams. How many players go in each? → 6Prompt: Sharing equally is division.
  3. 121 ÷ __ = 11 → 11Prompt: Division and multiplication undo each other.

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: Dividing with 0 and 1. 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: 239 ÷ 1 = ?
  • Step 1: 239 ÷ 1 = 239
  • Answer: 239
  • 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. 301 ÷ 301 = ? → 1Prompt: 301 shared between 301 people: how many each?
  2. Elena says "20 ÷ 0 = 0." Is that right? (Yes, it is 0 / No, it is 20 / No, you cannot divide by 0) → No, you cannot divide by 0Prompt: If 20 ÷ 0 = 0, then 0 × 0 would have to be 20.

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. Kai says "22 ÷ 0 = 0." Is that right? (Yes, it is 0 / No, it is 22 / No, you cannot divide by 0) → No, you cannot divide by 0Prompt: If 22 ÷ 0 = 0, then 0 × 0 would have to be 22.
  2. 0 ÷ 202 = ? → 0Prompt: Nothing shared between 202 people: how many each?

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: Division facts.
  • 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-3.

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

eurekami

Dividing with 0 and 1

Name

Date

Score/ 8

  1. Question 1

    Yuki says "20 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 20
    • C. No, you cannot divide by 0
  2. Question 2

    302 ÷ 1 = ?

    Answer

  3. Question 3

    Ben says "20 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 20
    • C. No, you cannot divide by 0
  4. Question 4

    343 ÷ 1 = ?

    Answer

  5. Question 5

    Aisha says "21 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 21
    • C. No, you cannot divide by 0
  6. Question 6

    271 ÷ 271 = ?

    Answer

  7. Question 7

    Elena says "29 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 29
    • C. No, you cannot divide by 0
  8. Question 8

    33 ÷ 33 = ?

    Answer

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Answer key: Dividing with 0 and 1

  1. 1. C. No, you cannot divide by 0

  2. 2. 302

  3. 3. C. No, you cannot divide by 0

  4. 4. 343

  5. 5. C. No, you cannot divide by 0

  6. 6. 1

  7. 7. C. No, you cannot divide by 0

  8. 8. 1