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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 cards in a box and 24 on the table. How many cards are there in all? β†’ 57Prompt: Add the tens, then add the ones.
  2. Zoe has 22 crayons. A friend gives Zoe 28 more. How many crayons does Zoe have now? β†’ 50Prompt: Add the tens, then add the ones.
  3. Mateo has 56 balls. A friend gives Mateo 23 more. How many balls does Mateo have now? β†’ 79Prompt: 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 64 + 25 = 89? (64 βˆ’ 25 = 39 / 89 βˆ’ 25 = 64 / 25 + 25 = 50 / 89 + 25 = 114) β†’ 89 βˆ’ 25 = 64Prompt: Subtraction undoes addition.
  2. Leo says 54 βˆ’ 25 = 30. Check by adding 30 + 25. Is Leo right? (Yes / No) β†’ NoPrompt: Work out 30 + 25.

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. Jamal says 56 βˆ’ 41 = 25. Check by adding 25 + 41. Is Jamal right? (Yes / No) β†’ NoPrompt: Work out 25 + 41.
  2. Which calculation checks that 30 + 27 = 57? (57 + 27 = 84 / 27 + 27 = 54 / 30 βˆ’ 27 = 3 / 57 βˆ’ 27 = 30) β†’ 57 βˆ’ 27 = 30Prompt: 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

    Zoe says 72 βˆ’ 22 = 40. Check by adding 40 + 22. Is Zoe right?

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

    Which calculation checks that 58 + 18 = 76?

    • A. 76 βˆ’ 18 = 58
    • B. 58 βˆ’ 18 = 40
    • C. 76 + 18 = 94
    • D. 18 + 18 = 36
  3. Question 3

    Grace says 67 βˆ’ 38 = 39. Check by adding 39 + 38. Is Grace right?

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

    Which calculation checks that 39 + 28 = 67?

    • A. 67 βˆ’ 28 = 39
    • B. 39 βˆ’ 28 = 11
    • C. 67 + 28 = 95
    • D. 28 + 28 = 56
  5. Question 5

    Ines says 60 βˆ’ 34 = 16. Check by adding 16 + 34. Is Ines right?

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

    Which calculation checks that 51 + 23 = 74?

    • A. 74 βˆ’ 23 = 51
    • B. 23 + 23 = 46
    • C. 74 + 23 = 97
    • D. 51 βˆ’ 23 = 28
  7. Question 7

    Priya says 88 βˆ’ 45 = 43. Check by adding 43 + 45. Is Priya right?

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

    Which calculation checks that 68 + 24 = 92?

    • A. 24 + 24 = 48
    • B. 92 + 24 = 116
    • C. 92 βˆ’ 24 = 68
    • D. 68 βˆ’ 24 = 44

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. A. 76 βˆ’ 18 = 58

  3. 3. B. No

  4. 4. A. 67 βˆ’ 28 = 39

  5. 5. B. No

  6. 6. A. 74 βˆ’ 23 = 51

  7. 7. A. Yes

  8. 8. C. 92 βˆ’ 24 = 68