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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. 489 + 318 = ? β†’ 807Prompt: Add the ones first.
  2. 713 βˆ’ 593 = ? β†’ 120Prompt: Start with the ones.
  3. Kai's school collected 404 cans for recycling in March and 383 in April. How many cans is that altogether? β†’ 787Prompt: 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 321 βˆ’ 153 = 168? (321 βˆ’ 168 βˆ’ 153 / 168 βˆ’ 153 / 321 + 153 / 168 + 153) β†’ 168 + 153Prompt: Addition undoes subtraction.
  2. Mateo says 387 + 137 = 514. Mateo checks with 514 βˆ’ 137. Is Mateo's answer correct? (yes / no) β†’ noPrompt: Work out 514 βˆ’ 137.

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 595 βˆ’ 469 = 126? (595 + 469 / 126 + 469 / 126 βˆ’ 469 / 595 βˆ’ 126 βˆ’ 469) β†’ 126 + 469Prompt: Addition undoes subtraction.
  2. Tariq says 335 + 126 = 451. Tariq checks with 451 βˆ’ 126. Is Tariq's answer correct? (yes / no) β†’ noPrompt: Work out 451 βˆ’ 126.

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/ 6

  1. Question 1

    Which calculation checks 651 βˆ’ 359 = 292?

    • A. 651 + 359
    • B. 651 βˆ’ 292 βˆ’ 359
    • C. 292 + 359
    • D. 292 βˆ’ 359
  2. Question 2

    Maya says 379 + 224 = 593. Maya checks with 593 βˆ’ 224. Is Maya's answer correct?

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

    Which calculation checks 875 βˆ’ 723 = 152?

    • A. 152 + 723
    • B. 875 βˆ’ 152 βˆ’ 723
    • C. 875 + 723
    • D. 152 βˆ’ 723
  4. Question 4

    Luis says 249 + 107 = 356. Luis checks with 356 βˆ’ 107. Is Luis's answer correct?

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

    Which calculation checks 742 βˆ’ 197 = 545?

    • A. 545 βˆ’ 197
    • B. 545 + 197
    • C. 742 βˆ’ 545 βˆ’ 197
    • D. 742 + 197
  6. Question 6

    Daniel says 207 + 109 = 316. Daniel checks with 316 βˆ’ 109. Is Daniel's answer correct?

    • A. yes
    • B. no

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Answer key: Check answers with the inverse operation

  1. 1. C. 292 + 359

  2. 2. B. no

  3. 3. A. 152 + 723

  4. 4. A. yes

  5. 5. B. 545 + 197

  6. 6. A. yes