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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. Sofia has 59 balls. A friend gives Sofia 21 more. How many balls does Sofia have now? β†’ 80Prompt: Add the tens, then add the ones.
  2. Ines collected 29 crayons in the morning and 51 in the afternoon. How many is that altogether? β†’ 80Prompt: Add the tens, then add the ones.
  3. Ava has 57 cookies. A friend gives Ava 38 more. How many cookies does Ava have now? β†’ 95Prompt: 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 44 + 16 = 60? (60 βˆ’ 16 = 44 / 60 + 16 = 76 / 44 βˆ’ 16 = 28 / 16 + 16 = 32) β†’ 60 βˆ’ 16 = 44Prompt: Subtraction undoes addition.
  2. Elena says 93 βˆ’ 51 = 32. Check by adding 32 + 51. Is Elena right? (Yes / No) β†’ NoPrompt: Work out 32 + 51.

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. Tariq says 53 βˆ’ 31 = 22. Check by adding 22 + 31. Is Tariq right? (Yes / No) β†’ YesPrompt: Work out 22 + 31.
  2. Which calculation checks that 41 + 14 = 55? (41 βˆ’ 14 = 27 / 14 + 14 = 28 / 55 βˆ’ 14 = 41 / 55 + 14 = 69) β†’ 55 βˆ’ 14 = 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

    Omar says 78 βˆ’ 26 = 53. Check by adding 53 + 26. Is Omar right?

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

    Which calculation checks that 66 + 27 = 93?

    • A. 93 + 27 = 120
    • B. 27 + 27 = 54
    • C. 93 βˆ’ 27 = 66
    • D. 66 βˆ’ 27 = 39
  3. Question 3

    Ava says 86 βˆ’ 31 = 56. Check by adding 56 + 31. Is Ava right?

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

    Which calculation checks that 37 + 19 = 56?

    • A. 56 + 19 = 75
    • B. 56 βˆ’ 19 = 37
    • C. 19 + 19 = 38
    • D. 37 βˆ’ 19 = 18
  5. Question 5

    Maya says 63 βˆ’ 26 = 38. Check by adding 38 + 26. Is Maya right?

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

    Which calculation checks that 57 + 22 = 79?

    • A. 57 βˆ’ 22 = 35
    • B. 79 + 22 = 101
    • C. 79 βˆ’ 22 = 57
    • D. 22 + 22 = 44
  7. Question 7

    Leo says 71 βˆ’ 17 = 54. Check by adding 54 + 17. Is Leo right?

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

    Which calculation checks that 65 + 23 = 88?

    • A. 65 βˆ’ 23 = 42
    • B. 23 + 23 = 46
    • C. 88 βˆ’ 23 = 65
    • D. 88 + 23 = 111

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. C. 93 βˆ’ 27 = 66

  3. 3. B. No

  4. 4. B. 56 βˆ’ 19 = 37

  5. 5. B. No

  6. 6. C. 79 βˆ’ 22 = 57

  7. 7. A. Yes

  8. 8. C. 88 βˆ’ 23 = 65