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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. Tariq has 45 balls. A friend gives Tariq 35 more. How many balls does Tariq have now? β†’ 80Prompt: Add the tens, then add the ones.
  2. Ana has 23 balls. A friend gives Ana 42 more. How many balls does Ana have now? β†’ 65Prompt: Add the tens, then add the ones.
  3. Chloe has 40 balls. A friend gives Chloe 19 more. How many balls does Chloe have now? β†’ 59Prompt: 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 68 + 24 = 92? (24 + 24 = 48 / 92 βˆ’ 24 = 68 / 68 βˆ’ 24 = 44 / 92 + 24 = 116) β†’ 92 βˆ’ 24 = 68Prompt: Subtraction undoes addition.
  2. Amara says 53 βˆ’ 37 = 16. Check by adding 16 + 37. Is Amara right? (Yes / No) β†’ YesPrompt: Work out 16 + 37.

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. Ben says 85 βˆ’ 44 = 41. Check by adding 41 + 44. Is Ben right? (Yes / No) β†’ YesPrompt: Work out 41 + 44.
  2. Which calculation checks that 47 + 24 = 71? (71 βˆ’ 24 = 47 / 24 + 24 = 48 / 47 βˆ’ 24 = 23 / 71 + 24 = 95) β†’ 71 βˆ’ 24 = 47Prompt: 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

    Jamal says 56 βˆ’ 26 = 31. Check by adding 31 + 26. Is Jamal right?

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

    Which calculation checks that 32 + 22 = 54?

    • A. 22 + 22 = 44
    • B. 54 + 22 = 76
    • C. 54 βˆ’ 22 = 32
    • D. 32 βˆ’ 22 = 10
  3. Question 3

    Tariq says 71 βˆ’ 53 = 18. Check by adding 18 + 53. Is Tariq right?

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

    Which calculation checks that 63 + 17 = 80?

    • A. 80 + 17 = 97
    • B. 80 βˆ’ 17 = 63
    • C. 63 βˆ’ 17 = 46
    • D. 17 + 17 = 34
  5. Question 5

    Yuki says 91 βˆ’ 66 = 35. Check by adding 35 + 66. Is Yuki right?

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

    Which calculation checks that 59 + 28 = 87?

    • A. 87 βˆ’ 28 = 59
    • B. 28 + 28 = 56
    • C. 87 + 28 = 115
    • D. 59 βˆ’ 28 = 31
  7. Question 7

    Daniel says 81 βˆ’ 17 = 65. Check by adding 65 + 17. Is Daniel right?

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

    Which calculation checks that 58 + 30 = 88?

    • A. 30 + 30 = 60
    • B. 88 βˆ’ 30 = 58
    • C. 88 + 30 = 118
    • D. 58 βˆ’ 30 = 28

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. C. 54 βˆ’ 22 = 32

  3. 3. A. Yes

  4. 4. B. 80 βˆ’ 17 = 63

  5. 5. B. No

  6. 6. A. 87 βˆ’ 28 = 59

  7. 7. B. No

  8. 8. B. 88 βˆ’ 30 = 58