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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 30 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· 4 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. Leo has 24 cards. A friend gives Leo 45 more. How many cards does Leo have now? β†’ 69Prompt: Add the tens, then add the ones.
  2. Fatima collected 33 cards in the morning and 40 in the afternoon. How many is that altogether? β†’ 73Prompt: Add the tens, then add the ones.
  3. Ana has 24 marbles. A friend gives Ana 20 more. How many marbles does Ana have now? β†’ 44Prompt: Add the tens, then add the ones.

Hook Β· 3 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· 7 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· 6 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 48 + 22 = 70? (48 βˆ’ 22 = 26 / 22 + 22 = 44 / 70 + 22 = 92 / 70 βˆ’ 22 = 48) β†’ 70 βˆ’ 22 = 48Prompt: Subtraction undoes addition.
  2. Luis says 74 βˆ’ 52 = 12. Check by adding 12 + 52. Is Luis right? (Yes / No) β†’ NoPrompt: Work out 12 + 52.

You do: independent practice Β· 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket Β· 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Ines says 63 βˆ’ 35 = 29. Check by adding 29 + 35. Is Ines right? (Yes / No) β†’ NoPrompt: Work out 29 + 35.
  2. Which calculation checks that 60 + 26 = 86? (86 βˆ’ 26 = 60 / 26 + 26 = 52 / 86 + 26 = 112 / 60 βˆ’ 26 = 34) β†’ 86 βˆ’ 26 = 60Prompt: 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/ 6

  1. Question 1

    Omar says 83 βˆ’ 25 = 68. Check by adding 68 + 25. Is Omar right?

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

    Which calculation checks that 31 + 26 = 57?

    • A. 57 βˆ’ 26 = 31
    • B. 26 + 26 = 52
    • C. 57 + 26 = 83
    • D. 31 βˆ’ 26 = 5
  3. Question 3

    Liam says 93 βˆ’ 58 = 35. Check by adding 35 + 58. Is Liam right?

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

    Which calculation checks that 48 + 29 = 77?

    • A. 29 + 29 = 58
    • B. 77 βˆ’ 29 = 48
    • C. 77 + 29 = 106
    • D. 48 βˆ’ 29 = 19
  5. Question 5

    Mei says 58 βˆ’ 17 = 41. Check by adding 41 + 17. Is Mei right?

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

    Which calculation checks that 44 + 20 = 64?

    • A. 20 + 20 = 40
    • B. 44 βˆ’ 20 = 24
    • C. 64 + 20 = 84
    • D. 64 βˆ’ 20 = 44

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. A. 57 βˆ’ 26 = 31

  3. 3. A. Yes

  4. 4. B. 77 βˆ’ 29 = 48

  5. 5. A. Yes

  6. 6. D. 64 βˆ’ 20 = 44