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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. There are 33 stars in a box and 22 on the table. How many stars are there in all? β†’ 55Prompt: Add the tens, then add the ones.
  2. Maya collected 41 cards in the morning and 42 in the afternoon. How many is that altogether? β†’ 83Prompt: Add the tens, then add the ones.
  3. Nia collected 39 cards in the morning and 36 in the afternoon. How many is that altogether? β†’ 75Prompt: 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 68 + 25 = 93? (93 βˆ’ 25 = 68 / 93 + 25 = 118 / 25 + 25 = 50 / 68 βˆ’ 25 = 43) β†’ 93 βˆ’ 25 = 68Prompt: Subtraction undoes addition.
  2. Ravi says 66 βˆ’ 43 = 33. Check by adding 33 + 43. Is Ravi right? (Yes / No) β†’ NoPrompt: Work out 33 + 43.

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. Which calculation checks that 68 + 14 = 82? (82 + 14 = 96 / 82 βˆ’ 14 = 68 / 14 + 14 = 28 / 68 βˆ’ 14 = 54) β†’ 82 βˆ’ 14 = 68Prompt: Subtraction undoes addition.
  2. Nia says 87 βˆ’ 47 = 41. Check by adding 41 + 47. Is Nia right? (Yes / No) β†’ NoPrompt: Work out 41 + 47.

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 63 + 21 = 84?

    • A. 21 + 21 = 42
    • B. 84 βˆ’ 21 = 63
    • C. 84 + 21 = 105
    • D. 63 βˆ’ 21 = 42
  2. Question 2

    Maya says 95 βˆ’ 18 = 67. Check by adding 67 + 18. Is Maya right?

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

    Which calculation checks that 40 + 23 = 63?

    • A. 40 βˆ’ 23 = 17
    • B. 23 + 23 = 46
    • C. 63 + 23 = 86
    • D. 63 βˆ’ 23 = 40
  4. Question 4

    Mei says 53 βˆ’ 20 = 33. Check by adding 33 + 20. Is Mei right?

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

    Which calculation checks that 27 + 15 = 42?

    • A. 15 + 15 = 30
    • B. 42 + 15 = 57
    • C. 27 βˆ’ 15 = 12
    • D. 42 βˆ’ 15 = 27
  6. Question 6

    Mateo says 64 βˆ’ 47 = 27. Check by adding 27 + 47. Is Mateo right?

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

    Which calculation checks that 45 + 22 = 67?

    • A. 22 + 22 = 44
    • B. 45 βˆ’ 22 = 23
    • C. 67 βˆ’ 22 = 45
    • D. 67 + 22 = 89
  8. Question 8

    Omar says 92 βˆ’ 64 = 18. Check by adding 18 + 64. Is Omar right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. B. 84 βˆ’ 21 = 63

  2. 2. B. No

  3. 3. D. 63 βˆ’ 23 = 40

  4. 4. A. Yes

  5. 5. D. 42 βˆ’ 15 = 27

  6. 6. B. No

  7. 7. C. 67 βˆ’ 22 = 45

  8. 8. B. No