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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. There are 21 shells in a box and 58 on the table. How many shells are there in all? β†’ 79Prompt: Add the tens, then add the ones.
  2. There are 59 cookies in a box and 19 on the table. How many cookies are there in all? β†’ 78Prompt: Add the tens, then add the ones.
  3. Sam collected 58 stickers in the morning and 33 in the afternoon. How many is that altogether? β†’ 91Prompt: 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 30 + 23 = 53? (53 βˆ’ 23 = 30 / 23 + 23 = 46 / 53 + 23 = 76 / 30 βˆ’ 23 = 7) β†’ 53 βˆ’ 23 = 30Prompt: Subtraction undoes addition.
  2. Priya says 70 βˆ’ 33 = 38. Check by adding 38 + 33. Is Priya right? (Yes / No) β†’ NoPrompt: Work out 38 + 33.

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. Which calculation checks that 49 + 15 = 64? (64 βˆ’ 15 = 49 / 64 + 15 = 79 / 15 + 15 = 30 / 49 βˆ’ 15 = 34) β†’ 64 βˆ’ 15 = 49Prompt: Subtraction undoes addition.
  2. Amara says 62 βˆ’ 47 = 16. Check by adding 16 + 47. Is Amara right? (Yes / No) β†’ NoPrompt: Work out 16 + 47.

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 37 + 25 = 62?

    • A. 37 βˆ’ 25 = 12
    • B. 62 βˆ’ 25 = 37
    • C. 62 + 25 = 87
    • D. 25 + 25 = 50
  2. Question 2

    Elena says 65 βˆ’ 35 = 40. Check by adding 40 + 35. Is Elena right?

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

    Which calculation checks that 36 + 17 = 53?

    • A. 17 + 17 = 34
    • B. 36 βˆ’ 17 = 19
    • C. 53 + 17 = 70
    • D. 53 βˆ’ 17 = 36
  4. Question 4

    Yuki says 58 βˆ’ 25 = 43. Check by adding 43 + 25. Is Yuki right?

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

    Which calculation checks that 55 + 25 = 80?

    • A. 55 βˆ’ 25 = 30
    • B. 80 βˆ’ 25 = 55
    • C. 80 + 25 = 105
    • D. 25 + 25 = 50
  6. Question 6

    Ava says 57 βˆ’ 35 = 12. Check by adding 12 + 35. Is Ava right?

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

    Which calculation checks that 40 + 18 = 58?

    • A. 58 βˆ’ 18 = 40
    • B. 40 βˆ’ 18 = 22
    • C. 18 + 18 = 36
    • D. 58 + 18 = 76
  8. Question 8

    Chloe says 72 βˆ’ 41 = 31. Check by adding 31 + 41. Is Chloe right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. B. 62 βˆ’ 25 = 37

  2. 2. B. No

  3. 3. D. 53 βˆ’ 17 = 36

  4. 4. B. No

  5. 5. B. 80 βˆ’ 25 = 55

  6. 6. B. No

  7. 7. A. 58 βˆ’ 18 = 40

  8. 8. A. Yes