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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 49 beads in a box and 15 on the table. How many beads are there in all? β†’ 64Prompt: Add the tens, then add the ones.
  2. Ines has 24 stickers. A friend gives Ines 24 more. How many stickers does Ines have now? β†’ 48Prompt: Add the tens, then add the ones.
  3. Ravi has 35 marbles. A friend gives Ravi 63 more. How many marbles does Ravi have now? β†’ 98Prompt: 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 67 + 20 = 87? (87 βˆ’ 20 = 67 / 67 βˆ’ 20 = 47 / 20 + 20 = 40 / 87 + 20 = 107) β†’ 87 βˆ’ 20 = 67Prompt: Subtraction undoes addition.
  2. Diego says 64 βˆ’ 31 = 33. Check by adding 33 + 31. Is Diego right? (Yes / No) β†’ YesPrompt: Work out 33 + 31.

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. Yuki says 63 βˆ’ 21 = 43. Check by adding 43 + 21. Is Yuki right? (Yes / No) β†’ NoPrompt: Work out 43 + 21.
  2. Which calculation checks that 53 + 31 = 84? (84 βˆ’ 31 = 53 / 31 + 31 = 62 / 84 + 31 = 115 / 53 βˆ’ 31 = 22) β†’ 84 βˆ’ 31 = 53Prompt: 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

    Liam says 71 βˆ’ 27 = 44. Check by adding 44 + 27. Is Liam right?

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

    Which calculation checks that 67 + 27 = 94?

    • A. 94 βˆ’ 27 = 67
    • B. 27 + 27 = 54
    • C. 67 βˆ’ 27 = 40
    • D. 94 + 27 = 121
  3. Question 3

    Ava says 56 βˆ’ 17 = 39. Check by adding 39 + 17. Is Ava right?

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

    Which calculation checks that 57 + 21 = 78?

    • A. 78 + 21 = 99
    • B. 21 + 21 = 42
    • C. 78 βˆ’ 21 = 57
    • D. 57 βˆ’ 21 = 36
  5. Question 5

    Zara says 75 βˆ’ 45 = 20. Check by adding 20 + 45. Is Zara right?

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

    Which calculation checks that 47 + 25 = 72?

    • A. 72 βˆ’ 25 = 47
    • B. 47 βˆ’ 25 = 22
    • C. 25 + 25 = 50
    • D. 72 + 25 = 97
  7. Question 7

    Kwame says 54 βˆ’ 33 = 21. Check by adding 21 + 33. Is Kwame right?

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

    Which calculation checks that 45 + 24 = 69?

    • A. 24 + 24 = 48
    • B. 69 βˆ’ 24 = 45
    • C. 45 βˆ’ 24 = 21
    • D. 69 + 24 = 93

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Answer key: Check an answer with the inverse operation

  1. 1. A. Yes

  2. 2. A. 94 βˆ’ 27 = 67

  3. 3. A. Yes

  4. 4. C. 78 βˆ’ 21 = 57

  5. 5. B. No

  6. 6. A. 72 βˆ’ 25 = 47

  7. 7. A. Yes

  8. 8. B. 69 βˆ’ 24 = 45