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Math lesson plan Β· 3rd grade (Year 4 in England) Β· 30 minutes

Check answers with the inverse operation

Addition and subtraction

CCSS 3.NBT.A.2England: Y3 Addition and subtractionEngland: Y4 Addition and subtraction

Objective and success criteria

Students will: Check answers with the inverse operation.

  • 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: Add three-digit numbers with regrouping; Subtract three-digit numbers with exchanging

Leads to: the next skill in this area.

Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).

Warm-up Β· 4 min

  • Quick retrieval from earlier learning (Add three-digit numbers with regrouping; Subtract three-digit numbers with exchanging). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 480 + 283 = ? β†’ 763Prompt: Add the ones first.
  2. 631 βˆ’ 299 = ? β†’ 332Prompt: Start with the ones.
  3. Ravi's school collected 173 cans for recycling in March and 236 in April. How many cans is that altogether? β†’ 409Prompt: Altogether means add.

Hook Β· 3 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Check answers with the inverse operation. Read the success criteria together.

I do: model it Β· 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Which calculation checks 570 βˆ’ 102 = 468?
  • Step 1: 468 + 102 = 570
  • Step 2: 468 + 102
  • Answer: 468 + 102
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 6 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 calculation checks 701 βˆ’ 530 = 171? (171 βˆ’ 530 / 701 + 530 / 171 + 530 / 701 βˆ’ 171 βˆ’ 530) β†’ 171 + 530Prompt: Addition undoes subtraction.
  2. Daniel says 620 + 171 = 791. Daniel checks with 791 βˆ’ 171. Is Daniel's answer correct? (yes / no) β†’ yesPrompt: Work out 791 βˆ’ 171.

You do: independent practice Β· 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket Β· 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which calculation checks 875 βˆ’ 761 = 114? (875 + 761 / 875 βˆ’ 114 βˆ’ 761 / 114 + 761 / 114 βˆ’ 761) β†’ 114 + 761Prompt: Addition undoes subtraction.
  2. Arjun says 293 + 243 = 436. Arjun checks with 436 βˆ’ 243. Is Arjun's answer correct? (yes / no) β†’ noPrompt: Work out 436 βˆ’ 243.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 βˆ’ 17 = 45).
  • Forgetting to add the regrouped (carried) ten.

Support and stretch

Support

  • Review first: Add three-digit numbers with regrouping.
  • Use concrete materials: base-ten blocks.
  • 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

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Check answers with the inverse operation

Name

Date

Score/ 6

  1. Question 1

    Which calculation checks 422 βˆ’ 330 = 92?

    • A. 422 βˆ’ 92 βˆ’ 330
    • B. 422 + 330
    • C. 92 + 330
    • D. 92 βˆ’ 330
  2. Question 2

    Leo says 485 + 250 = 745. Leo checks with 745 βˆ’ 250. Is Leo's answer correct?

    • A. yes
    • B. no
  3. Question 3

    Which calculation checks 583 βˆ’ 382 = 201?

    • A. 583 βˆ’ 201 βˆ’ 382
    • B. 583 + 382
    • C. 201 βˆ’ 382
    • D. 201 + 382
  4. Question 4

    Kofi says 633 + 144 = 777. Kofi checks with 777 βˆ’ 144. Is Kofi's answer correct?

    • A. yes
    • B. no
  5. Question 5

    Which calculation checks 384 βˆ’ 328 = 56?

    • A. 384 βˆ’ 56 βˆ’ 328
    • B. 56 βˆ’ 328
    • C. 56 + 328
    • D. 384 + 328
  6. Question 6

    Chloe says 221 + 186 = 407. Chloe checks with 407 βˆ’ 186. Is Chloe's answer correct?

    • A. yes
    • B. no

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Answer key: Check answers with the inverse operation

  1. 1. C. 92 + 330

  2. 2. B. no

  3. 3. D. 201 + 382

  4. 4. A. yes

  5. 5. C. 56 + 328

  6. 6. A. yes