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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 60 minutes

Check an answer with the inverse operation

Addition and subtraction

CCSS 2.NBT.B.9England: Y2 Addition and subtractionEngland: Y3 Addition and subtraction

Objective and success criteria

Students will: Check an answer 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 two-digit numbers with regrouping; Subtract two-digit numbers with regrouping

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 two-digit numbers with regrouping; Subtract two-digit numbers with regrouping). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Ana collected 21 marbles in the morning and 60 in the afternoon. How many is that altogether? β†’ 81Prompt: Add the tens, then add the ones.
  2. There are 54 stickers in a box and 20 on the table. How many stickers are there in all? β†’ 74Prompt: Add the tens, then add the ones.
  3. Felix has 16 stickers. A friend gives Felix 77 more. How many stickers does Felix have now? β†’ 93Prompt: Add the tens, then add the ones.

Hook Β· 6 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Check an answer 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 that 45 + 30 = 75?
  • Step 1: 75 βˆ’ 30 = 45
  • Answer: 75 βˆ’ 30 = 45
  • 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 that 41 + 31 = 72? (31 + 31 = 62 / 72 βˆ’ 31 = 41 / 41 βˆ’ 31 = 10 / 72 + 31 = 103) β†’ 72 βˆ’ 31 = 41Prompt: Subtraction undoes addition.
  2. Amara says 69 βˆ’ 24 = 45. Check by adding 45 + 24. Is Amara right? (Yes / No) β†’ YesPrompt: Work out 45 + 24.

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. Maya says 66 βˆ’ 49 = 7. Check by adding 7 + 49. Is Maya right? (Yes / No) β†’ NoPrompt: Work out 7 + 49.
  2. Which calculation checks that 57 + 21 = 78? (78 βˆ’ 21 = 57 / 57 βˆ’ 21 = 36 / 78 + 21 = 99 / 21 + 21 = 42) β†’ 78 βˆ’ 21 = 57Prompt: Subtraction undoes addition.

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 two-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-2.

Free lesson plan from eurekami.com/lesson-plan-builder

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Check an answer with the inverse operation

Name

Date

Score/ 8

  1. Question 1

    Which calculation checks that 53 + 25 = 78?

    • A. 53 βˆ’ 25 = 28
    • B. 25 + 25 = 50
    • C. 78 βˆ’ 25 = 53
    • D. 78 + 25 = 103
  2. Question 2

    Hana says 56 βˆ’ 26 = 30. Check by adding 30 + 26. Is Hana right?

    • A. Yes
    • B. No
  3. Question 3

    Which calculation checks that 50 + 18 = 68?

    • A. 18 + 18 = 36
    • B. 68 + 18 = 86
    • C. 68 βˆ’ 18 = 50
    • D. 50 βˆ’ 18 = 32
  4. Question 4

    Ines says 82 βˆ’ 28 = 64. Check by adding 64 + 28. Is Ines right?

    • A. Yes
    • B. No
  5. Question 5

    Which calculation checks that 52 + 28 = 80?

    • A. 52 βˆ’ 28 = 24
    • B. 28 + 28 = 56
    • C. 80 + 28 = 108
    • D. 80 βˆ’ 28 = 52
  6. Question 6

    Sofia says 59 βˆ’ 28 = 41. Check by adding 41 + 28. Is Sofia right?

    • A. Yes
    • B. No
  7. Question 7

    Which calculation checks that 25 + 25 = 50?

    • A. 50 + 25 = 75
    • B. 50 βˆ’ 25 = 25
    • C. 25 + 25 = 50
    • D. 25 βˆ’ 25 = 0
  8. Question 8

    Aisha says 69 βˆ’ 29 = 41. Check by adding 41 + 29. Is Aisha right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. C. 78 βˆ’ 25 = 53

  2. 2. A. Yes

  3. 3. C. 68 βˆ’ 18 = 50

  4. 4. B. No

  5. 5. D. 80 βˆ’ 28 = 52

  6. 6. B. No

  7. 7. B. 50 βˆ’ 25 = 25

  8. 8. B. No