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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. Luis has 44 beads. A friend gives Luis 16 more. How many beads does Luis have now? β†’ 60Prompt: Add the tens, then add the ones.
  2. There are 15 beads in a box and 64 on the table. How many beads are there in all? β†’ 79Prompt: Add the tens, then add the ones.
  3. Maya collected 51 beads in the morning and 31 in the afternoon. How many is that altogether? β†’ 82Prompt: 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 49 + 27 = 76? (76 + 27 = 103 / 49 βˆ’ 27 = 22 / 27 + 27 = 54 / 76 βˆ’ 27 = 49) β†’ 76 βˆ’ 27 = 49Prompt: Subtraction undoes addition.
  2. Liam says 88 βˆ’ 40 = 48. Check by adding 48 + 40. Is Liam right? (Yes / No) β†’ YesPrompt: Work out 48 + 40.

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 58 + 16 = 74? (16 + 16 = 32 / 58 βˆ’ 16 = 42 / 74 + 16 = 90 / 74 βˆ’ 16 = 58) β†’ 74 βˆ’ 16 = 58Prompt: Subtraction undoes addition.
  2. Ben says 56 βˆ’ 41 = 25. Check by adding 25 + 41. Is Ben right? (Yes / No) β†’ NoPrompt: Work out 25 + 41.

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

    Diego says 68 βˆ’ 26 = 32. Check by adding 32 + 26. Is Diego right?

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

    Which calculation checks that 55 + 26 = 81?

    • A. 26 + 26 = 52
    • B. 55 βˆ’ 26 = 29
    • C. 81 + 26 = 107
    • D. 81 βˆ’ 26 = 55
  3. Question 3

    Grace says 79 βˆ’ 34 = 55. Check by adding 55 + 34. Is Grace right?

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

    Which calculation checks that 57 + 14 = 71?

    • A. 71 βˆ’ 14 = 57
    • B. 71 + 14 = 85
    • C. 14 + 14 = 28
    • D. 57 βˆ’ 14 = 43
  5. Question 5

    Fatima says 90 βˆ’ 73 = 17. Check by adding 17 + 73. Is Fatima right?

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

    Which calculation checks that 25 + 14 = 39?

    • A. 39 βˆ’ 14 = 25
    • B. 25 βˆ’ 14 = 11
    • C. 14 + 14 = 28
    • D. 39 + 14 = 53
  7. Question 7

    Sam says 67 βˆ’ 25 = 32. Check by adding 32 + 25. Is Sam right?

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

    Which calculation checks that 32 + 18 = 50?

    • A. 18 + 18 = 36
    • B. 50 βˆ’ 18 = 32
    • C. 50 + 18 = 68
    • D. 32 βˆ’ 18 = 14

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. D. 81 βˆ’ 26 = 55

  3. 3. B. No

  4. 4. A. 71 βˆ’ 14 = 57

  5. 5. A. Yes

  6. 6. A. 39 βˆ’ 14 = 25

  7. 7. B. No

  8. 8. B. 50 βˆ’ 18 = 32