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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. There are 31 beads in a box and 41 on the table. How many beads are there in all? β†’ 72Prompt: Add the tens, then add the ones.
  2. Arjun collected 46 beads in the morning and 30 in the afternoon. How many is that altogether? β†’ 76Prompt: Add the tens, then add the ones.
  3. Leo collected 22 balls in the morning and 40 in the afternoon. How many is that altogether? β†’ 62Prompt: 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 67 + 31 = 98? (98 + 31 = 129 / 31 + 31 = 62 / 98 βˆ’ 31 = 67 / 67 βˆ’ 31 = 36) β†’ 98 βˆ’ 31 = 67Prompt: Subtraction undoes addition.
  2. Kofi says 92 βˆ’ 69 = 33. Check by adding 33 + 69. Is Kofi right? (Yes / No) β†’ NoPrompt: Work out 33 + 69.

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 27 + 29 = 56? (29 + 29 = 58 / 56 βˆ’ 29 = 27 / 56 + 29 = 85 / 27 βˆ’ 29 = -2) β†’ 56 βˆ’ 29 = 27Prompt: Subtraction undoes addition.
  2. Ana says 72 βˆ’ 18 = 44. Check by adding 44 + 18. Is Ana right? (Yes / No) β†’ NoPrompt: Work out 44 + 18.

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 42 + 16 = 58?

    • A. 58 + 16 = 74
    • B. 42 βˆ’ 16 = 26
    • C. 16 + 16 = 32
    • D. 58 βˆ’ 16 = 42
  2. Question 2

    Daniel says 77 βˆ’ 50 = 27. Check by adding 27 + 50. Is Daniel right?

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

    Which calculation checks that 60 + 15 = 75?

    • A. 75 βˆ’ 15 = 60
    • B. 75 + 15 = 90
    • C. 60 βˆ’ 15 = 45
    • D. 15 + 15 = 30
  4. Question 4

    Diego says 63 βˆ’ 36 = 27. Check by adding 27 + 36. Is Diego right?

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

    Which calculation checks that 57 + 30 = 87?

    • A. 57 βˆ’ 30 = 27
    • B. 30 + 30 = 60
    • C. 87 + 30 = 117
    • D. 87 βˆ’ 30 = 57
  6. Question 6

    Kai says 61 βˆ’ 22 = 39. Check by adding 39 + 22. Is Kai right?

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

    Which calculation checks that 62 + 15 = 77?

    • A. 77 + 15 = 92
    • B. 62 βˆ’ 15 = 47
    • C. 15 + 15 = 30
    • D. 77 βˆ’ 15 = 62
  8. Question 8

    Liam says 82 βˆ’ 29 = 63. Check by adding 63 + 29. Is Liam right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. D. 58 βˆ’ 16 = 42

  2. 2. A. Yes

  3. 3. A. 75 βˆ’ 15 = 60

  4. 4. A. Yes

  5. 5. D. 87 βˆ’ 30 = 57

  6. 6. A. Yes

  7. 7. D. 77 βˆ’ 15 = 62

  8. 8. B. No