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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. 128 + 322 = ? β†’ 450Prompt: Add the ones first.
  2. 472 βˆ’ 299 = ? β†’ 173Prompt: Start with the ones.
  3. Tariq's school collected 427 cans for recycling in March and 256 in April. How many cans is that altogether? β†’ 683Prompt: 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 674 βˆ’ 210 = 464? (464 + 210 / 674 + 210 / 674 βˆ’ 464 βˆ’ 210 / 464 βˆ’ 210) β†’ 464 + 210Prompt: Addition undoes subtraction.
  2. Lucia says 463 + 216 = 779. Lucia checks with 779 βˆ’ 216. Is Lucia's answer correct? (yes / no) β†’ noPrompt: Work out 779 βˆ’ 216.

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. Sam says 677 + 142 = 819. Sam checks with 819 βˆ’ 142. Is Sam's answer correct? (yes / no) β†’ yesPrompt: Work out 819 βˆ’ 142.
  2. Which calculation checks 885 βˆ’ 490 = 395? (395 βˆ’ 490 / 395 + 490 / 885 + 490 / 885 βˆ’ 395 βˆ’ 490) β†’ 395 + 490Prompt: 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

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Check answers with the inverse operation

Name

Date

Score/ 6

  1. Question 1

    Leo says 408 + 111 = 419. Leo checks with 419 βˆ’ 111. Is Leo's answer correct?

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

    Which calculation checks 872 βˆ’ 654 = 218?

    • A. 218 βˆ’ 654
    • B. 872 βˆ’ 218 βˆ’ 654
    • C. 872 + 654
    • D. 218 + 654
  3. Question 3

    Diego says 210 + 203 = 513. Diego checks with 513 βˆ’ 203. Is Diego's answer correct?

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

    Which calculation checks 876 βˆ’ 780 = 96?

    • A. 876 + 780
    • B. 96 + 780
    • C. 96 βˆ’ 780
    • D. 876 βˆ’ 96 βˆ’ 780
  5. Question 5

    Noah says 209 + 233 = 542. Noah checks with 542 βˆ’ 233. Is Noah's answer correct?

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

    Which calculation checks 401 βˆ’ 231 = 170?

    • A. 401 + 231
    • B. 170 βˆ’ 231
    • C. 170 + 231
    • D. 401 βˆ’ 170 βˆ’ 231

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Answer key: Check answers with the inverse operation

  1. 1. B. no

  2. 2. D. 218 + 654

  3. 3. B. no

  4. 4. B. 96 + 780

  5. 5. B. no

  6. 6. C. 170 + 231