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Math lesson plan Β· 3rd grade (Year 4 in England) Β· 45 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· 5 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. 159 + 337 = ? β†’ 496Prompt: Add the ones first.
  2. 482 βˆ’ 333 = ? β†’ 149Prompt: Start with the ones.
  3. Jamal's school collected 134 cans for recycling in March and 174 in April. How many cans is that altogether? β†’ 308Prompt: Altogether means add.

Hook Β· 5 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· 10 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· 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. Which calculation checks 534 βˆ’ 207 = 327? (534 + 207 / 327 βˆ’ 207 / 327 + 207 / 534 βˆ’ 327 βˆ’ 207) β†’ 327 + 207Prompt: Addition undoes subtraction.
  2. Chloe says 630 + 238 = 868. Chloe checks with 868 βˆ’ 238. Is Chloe's answer correct? (yes / no) β†’ yesPrompt: Work out 868 βˆ’ 238.

You do: independent practice Β· 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 Β· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Amara says 418 + 162 = 480. Amara checks with 480 βˆ’ 162. Is Amara's answer correct? (yes / no) β†’ noPrompt: Work out 480 βˆ’ 162.
  2. Which calculation checks 611 βˆ’ 312 = 299? (299 + 312 / 611 + 312 / 299 βˆ’ 312 / 611 βˆ’ 299 βˆ’ 312) β†’ 299 + 312Prompt: Addition undoes subtraction.

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

    Hana says 613 + 159 = 762. Hana checks with 762 βˆ’ 159. Is Hana's answer correct?

    • A. yes
    • B. no
  2. Question 2

    Which calculation checks 357 βˆ’ 126 = 231?

    • A. 357 βˆ’ 231 βˆ’ 126
    • B. 231 + 126
    • C. 231 βˆ’ 126
    • D. 357 + 126
  3. Question 3

    Mei says 528 + 285 = 813. Mei checks with 813 βˆ’ 285. Is Mei's answer correct?

    • A. yes
    • B. no
  4. Question 4

    Which calculation checks 735 βˆ’ 353 = 382?

    • A. 382 βˆ’ 353
    • B. 735 βˆ’ 382 βˆ’ 353
    • C. 735 + 353
    • D. 382 + 353
  5. Question 5

    Ava says 427 + 206 = 633. Ava checks with 633 βˆ’ 206. Is Ava's answer correct?

    • A. yes
    • B. no
  6. Question 6

    Which calculation checks 819 βˆ’ 754 = 65?

    • A. 819 + 754
    • B. 65 βˆ’ 754
    • C. 65 + 754
    • D. 819 βˆ’ 65 βˆ’ 754
  7. Question 7

    Hana says 428 + 270 = 698. Hana checks with 698 βˆ’ 270. Is Hana's answer correct?

    • A. yes
    • B. no
  8. Question 8

    Which calculation checks 379 βˆ’ 245 = 134?

    • A. 134 βˆ’ 245
    • B. 134 + 245
    • C. 379 + 245
    • D. 379 βˆ’ 134 βˆ’ 245

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Answer key: Check answers with the inverse operation

  1. 1. B. no

  2. 2. B. 231 + 126

  3. 3. A. yes

  4. 4. D. 382 + 353

  5. 5. A. yes

  6. 6. C. 65 + 754

  7. 7. A. yes

  8. 8. B. 134 + 245