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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. Mei has 20 stickers. A friend gives Mei 49 more. How many stickers does Mei have now? β†’ 69Prompt: Add the tens, then add the ones.
  2. There are 16 cookies in a box and 67 on the table. How many cookies are there in all? β†’ 83Prompt: Add the tens, then add the ones.
  3. Daniel has 15 marbles. A friend gives Daniel 60 more. How many marbles does Daniel have now? β†’ 75Prompt: 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 45 + 24 = 69? (69 + 24 = 93 / 69 βˆ’ 24 = 45 / 45 βˆ’ 24 = 21 / 24 + 24 = 48) β†’ 69 βˆ’ 24 = 45Prompt: Subtraction undoes addition.
  2. Zoe says 86 βˆ’ 39 = 48. Check by adding 48 + 39. Is Zoe right? (Yes / No) β†’ NoPrompt: Work out 48 + 39.

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 53 + 19 = 72? (19 + 19 = 38 / 72 + 19 = 91 / 72 βˆ’ 19 = 53 / 53 βˆ’ 19 = 34) β†’ 72 βˆ’ 19 = 53Prompt: Subtraction undoes addition.
  2. Noah says 75 βˆ’ 35 = 41. Check by adding 41 + 35. Is Noah right? (Yes / No) β†’ NoPrompt: Work out 41 + 35.

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

    Which calculation checks that 34 + 20 = 54?

    • A. 54 βˆ’ 20 = 34
    • B. 20 + 20 = 40
    • C. 54 + 20 = 74
    • D. 34 βˆ’ 20 = 14
  2. Question 2

    Hiro says 61 βˆ’ 45 = 26. Check by adding 26 + 45. Is Hiro right?

    • A. Yes
    • B. No
  3. Question 3

    Which calculation checks that 68 + 25 = 93?

    • A. 93 + 25 = 118
    • B. 68 βˆ’ 25 = 43
    • C. 93 βˆ’ 25 = 68
    • D. 25 + 25 = 50
  4. Question 4

    Kofi says 70 βˆ’ 26 = 44. Check by adding 44 + 26. Is Kofi right?

    • A. Yes
    • B. No
  5. Question 5

    Which calculation checks that 67 + 22 = 89?

    • A. 89 βˆ’ 22 = 67
    • B. 22 + 22 = 44
    • C. 67 βˆ’ 22 = 45
    • D. 89 + 22 = 111
  6. Question 6

    Mateo says 84 βˆ’ 19 = 75. Check by adding 75 + 19. Is Mateo right?

    • A. Yes
    • B. No
  7. Question 7

    Which calculation checks that 23 + 30 = 53?

    • A. 23 βˆ’ 30 = -7
    • B. 53 βˆ’ 30 = 23
    • C. 53 + 30 = 83
    • D. 30 + 30 = 60
  8. Question 8

    Leo says 56 βˆ’ 26 = 31. Check by adding 31 + 26. Is Leo right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. A. 54 βˆ’ 20 = 34

  2. 2. B. No

  3. 3. C. 93 βˆ’ 25 = 68

  4. 4. A. Yes

  5. 5. A. 89 βˆ’ 22 = 67

  6. 6. B. No

  7. 7. B. 53 βˆ’ 30 = 23

  8. 8. B. No