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Math lesson plan Β· 3rd grade (Year 4 in England) Β· 60 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· 6 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. 190 + 244 = ? β†’ 434Prompt: Add the ones first.
  2. 651 βˆ’ 391 = ? β†’ 260Prompt: Start with the ones.
  3. Ines's school collected 387 cans for recycling in March and 286 in April. How many cans is that altogether? β†’ 673Prompt: Altogether means add.

Hook Β· 6 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· 12 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· 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. Which calculation checks 770 βˆ’ 488 = 282? (282 + 488 / 282 βˆ’ 488 / 770 + 488 / 770 βˆ’ 282 βˆ’ 488) β†’ 282 + 488Prompt: Addition undoes subtraction.
  2. Daniel says 418 + 261 = 679. Daniel checks with 679 βˆ’ 261. Is Daniel's answer correct? (yes / no) β†’ yesPrompt: Work out 679 βˆ’ 261.

You do: independent practice Β· 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 Β· 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which calculation checks 574 βˆ’ 242 = 332? (332 βˆ’ 242 / 574 + 242 / 574 βˆ’ 332 βˆ’ 242 / 332 + 242) β†’ 332 + 242Prompt: Addition undoes subtraction.
  2. Diego says 554 + 254 = 798. Diego checks with 798 βˆ’ 254. Is Diego's answer correct? (yes / no) β†’ noPrompt: Work out 798 βˆ’ 254.

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

eurekami

Check answers with the inverse operation

Name

Date

Score/ 8

  1. Question 1

    Which calculation checks 747 βˆ’ 130 = 617?

    • A. 617 βˆ’ 130
    • B. 747 βˆ’ 617 βˆ’ 130
    • C. 617 + 130
    • D. 747 + 130
  2. Question 2

    Amara says 315 + 288 = 593. Amara checks with 593 βˆ’ 288. Is Amara's answer correct?

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

    Which calculation checks 865 βˆ’ 740 = 125?

    • A. 125 βˆ’ 740
    • B. 125 + 740
    • C. 865 + 740
    • D. 865 βˆ’ 125 βˆ’ 740
  4. Question 4

    Ethan says 663 + 190 = 843. Ethan checks with 843 βˆ’ 190. Is Ethan's answer correct?

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

    Which calculation checks 463 βˆ’ 385 = 78?

    • A. 463 + 385
    • B. 463 βˆ’ 78 βˆ’ 385
    • C. 78 βˆ’ 385
    • D. 78 + 385
  6. Question 6

    Sofia says 668 + 122 = 690. Sofia checks with 690 βˆ’ 122. Is Sofia's answer correct?

    • A. yes
    • B. no
  7. Question 7

    Which calculation checks 630 βˆ’ 281 = 349?

    • A. 630 + 281
    • B. 349 + 281
    • C. 630 βˆ’ 349 βˆ’ 281
    • D. 349 βˆ’ 281
  8. Question 8

    Yuki says 380 + 110 = 480. Yuki checks with 480 βˆ’ 110. Is Yuki's answer correct?

    • A. yes
    • B. no

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Answer key: Check answers with the inverse operation

  1. 1. C. 617 + 130

  2. 2. B. no

  3. 3. B. 125 + 740

  4. 4. B. no

  5. 5. D. 78 + 385

  6. 6. B. no

  7. 7. B. 349 + 281

  8. 8. B. no