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Math lesson plan · 3rd grade (Year 4 in England) · 45 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 · 5 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. 24 ÷ 12 = ? → 2Prompt: Think of the multiplication fact.
  2. 48 eggs are shared equally into 6 nests. How many eggs go in each? → 8Prompt: Sharing equally is division.
  3. 60 ÷ __ = 10 → 6Prompt: Division and multiplication undo each other.

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: Dividing with 0 and 1. 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: 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 · 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. 246 ÷ 1 = ? → 246Prompt: 246 shared into 1 group: how many in that group?
  2. Liam says "6 ÷ 0 = 0." Is that right? (Yes, it is 0 / No, it is 6 / No, you cannot divide by 0) → No, you cannot divide by 0Prompt: If 6 ÷ 0 = 0, then 0 × 0 would have to be 6.

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. Leo says "9 ÷ 0 = 0." Is that right? (Yes, it is 0 / No, it is 9 / No, you cannot divide by 0) → No, you cannot divide by 0Prompt: If 9 ÷ 0 = 0, then 0 × 0 would have to be 9.
  2. 171 ÷ 1 = ? → 171Prompt: 171 shared into 1 group: how many in that group?

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

    312 ÷ 312 = ?

    Answer

  2. Question 2

    Mei says "11 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 11
    • C. No, you cannot divide by 0
  3. Question 3

    0 ÷ 301 = ?

    Answer

  4. Question 4

    Maya says "4 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 4
    • C. No, you cannot divide by 0
  5. Question 5

    401 ÷ 401 = ?

    Answer

  6. Question 6

    Ravi says "5 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 5
    • C. No, you cannot divide by 0
  7. Question 7

    0 ÷ 58 = ?

    Answer

  8. Question 8

    Isla says "24 ÷ 0 = 0." Is that right?

    • A. Yes, it is 0
    • B. No, it is 24
    • C. No, you cannot divide by 0

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Answer key: Dividing with 0 and 1

  1. 1. 1

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

  3. 3. 0

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

  5. 5. 1

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

  7. 7. 0

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