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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. Jamal has 57 stickers. A friend gives Jamal 17 more. How many stickers does Jamal have now? β†’ 74Prompt: Add the tens, then add the ones.
  2. Grace collected 59 shells in the morning and 17 in the afternoon. How many is that altogether? β†’ 76Prompt: Add the tens, then add the ones.
  3. Ethan has 25 cookies. A friend gives Ethan 71 more. How many cookies does Ethan have now? β†’ 96Prompt: 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 27 + 24 = 51? (51 + 24 = 75 / 24 + 24 = 48 / 27 βˆ’ 24 = 3 / 51 βˆ’ 24 = 27) β†’ 51 βˆ’ 24 = 27Prompt: Subtraction undoes addition.
  2. Lucia says 69 βˆ’ 54 = 5. Check by adding 5 + 54. Is Lucia right? (Yes / No) β†’ NoPrompt: Work out 5 + 54.

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. Amara says 66 βˆ’ 29 = 37. Check by adding 37 + 29. Is Amara right? (Yes / No) β†’ YesPrompt: Work out 37 + 29.
  2. Which calculation checks that 41 + 25 = 66? (66 βˆ’ 25 = 41 / 41 βˆ’ 25 = 16 / 25 + 25 = 50 / 66 + 25 = 91) β†’ 66 βˆ’ 25 = 41Prompt: 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

    Ethan says 80 βˆ’ 45 = 45. Check by adding 45 + 45. Is Ethan right?

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

    Which calculation checks that 36 + 31 = 67?

    • A. 36 βˆ’ 31 = 5
    • B. 31 + 31 = 62
    • C. 67 + 31 = 98
    • D. 67 βˆ’ 31 = 36
  3. Question 3

    Tariq says 59 βˆ’ 28 = 21. Check by adding 21 + 28. Is Tariq right?

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

    Which calculation checks that 56 + 15 = 71?

    • A. 71 βˆ’ 15 = 56
    • B. 56 βˆ’ 15 = 41
    • C. 71 + 15 = 86
    • D. 15 + 15 = 30
  5. Question 5

    Lucia says 72 βˆ’ 28 = 45. Check by adding 45 + 28. Is Lucia right?

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

    Which calculation checks that 55 + 31 = 86?

    • A. 55 βˆ’ 31 = 24
    • B. 86 + 31 = 117
    • C. 86 βˆ’ 31 = 55
    • D. 31 + 31 = 62
  7. Question 7

    Mateo says 67 βˆ’ 47 = 10. Check by adding 10 + 47. Is Mateo right?

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

    Which calculation checks that 52 + 23 = 75?

    • A. 23 + 23 = 46
    • B. 52 βˆ’ 23 = 29
    • C. 75 βˆ’ 23 = 52
    • D. 75 + 23 = 98

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. D. 67 βˆ’ 31 = 36

  3. 3. B. No

  4. 4. A. 71 βˆ’ 15 = 56

  5. 5. B. No

  6. 6. C. 86 βˆ’ 31 = 55

  7. 7. B. No

  8. 8. C. 75 βˆ’ 23 = 52