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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 45 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· 5 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. Priya collected 49 cookies in the morning and 43 in the afternoon. How many is that altogether? β†’ 92Prompt: Add the tens, then add the ones.
  2. Ines has 22 cookies. A friend gives Ines 50 more. How many cookies does Ines have now? β†’ 72Prompt: Add the tens, then add the ones.
  3. Sam collected 52 stickers in the morning and 28 in the afternoon. How many is that altogether? β†’ 80Prompt: Add the tens, then add the ones.

Hook Β· 5 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· 10 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· 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 that 36 + 24 = 60? (24 + 24 = 48 / 60 + 24 = 84 / 60 βˆ’ 24 = 36 / 36 βˆ’ 24 = 12) β†’ 60 βˆ’ 24 = 36Prompt: Subtraction undoes addition.
  2. Elena says 90 βˆ’ 54 = 36. Check by adding 36 + 54. Is Elena right? (Yes / No) β†’ YesPrompt: Work out 36 + 54.

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. Which calculation checks that 68 + 19 = 87? (68 βˆ’ 19 = 49 / 87 + 19 = 106 / 87 βˆ’ 19 = 68 / 19 + 19 = 38) β†’ 87 βˆ’ 19 = 68Prompt: Subtraction undoes addition.
  2. Ben says 71 βˆ’ 38 = 33. Check by adding 33 + 38. Is Ben right? (Yes / No) β†’ YesPrompt: Work out 33 + 38.

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

    Leo says 86 βˆ’ 44 = 42. Check by adding 42 + 44. Is Leo right?

    • A. Yes
    • B. No
  2. Question 2

    Which calculation checks that 68 + 28 = 96?

    • A. 96 + 28 = 124
    • B. 28 + 28 = 56
    • C. 68 βˆ’ 28 = 40
    • D. 96 βˆ’ 28 = 68
  3. Question 3

    Yuki says 53 βˆ’ 24 = 29. Check by adding 29 + 24. Is Yuki right?

    • A. Yes
    • B. No
  4. Question 4

    Which calculation checks that 65 + 18 = 83?

    • A. 83 βˆ’ 18 = 65
    • B. 83 + 18 = 101
    • C. 65 βˆ’ 18 = 47
    • D. 18 + 18 = 36
  5. Question 5

    Zara says 52 βˆ’ 20 = 32. Check by adding 32 + 20. Is Zara right?

    • A. Yes
    • B. No
  6. Question 6

    Which calculation checks that 31 + 19 = 50?

    • A. 50 βˆ’ 19 = 31
    • B. 31 βˆ’ 19 = 12
    • C. 19 + 19 = 38
    • D. 50 + 19 = 69
  7. Question 7

    Daniel says 56 βˆ’ 29 = 28. Check by adding 28 + 29. Is Daniel right?

    • A. Yes
    • B. No
  8. Question 8

    Which calculation checks that 36 + 26 = 62?

    • A. 26 + 26 = 52
    • B. 62 + 26 = 88
    • C. 36 βˆ’ 26 = 10
    • D. 62 βˆ’ 26 = 36

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Answer key: Check an answer with the inverse operation

  1. 1. A. Yes

  2. 2. D. 96 βˆ’ 28 = 68

  3. 3. A. Yes

  4. 4. A. 83 βˆ’ 18 = 65

  5. 5. A. Yes

  6. 6. A. 50 βˆ’ 19 = 31

  7. 7. B. No

  8. 8. D. 62 βˆ’ 26 = 36