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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 30 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· 4 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 27 cards in a box and 37 on the table. How many cards are there in all? β†’ 64Prompt: Add the tens, then add the ones.
  2. Daniel collected 43 balls in the morning and 18 in the afternoon. How many is that altogether? β†’ 61Prompt: Add the tens, then add the ones.
  3. There are 44 crayons in a box and 16 on the table. How many crayons are there in all? β†’ 60Prompt: Add the tens, then add the ones.

Hook Β· 3 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· 7 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· 6 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 24 + 14 = 38? (38 + 14 = 52 / 24 βˆ’ 14 = 10 / 38 βˆ’ 14 = 24 / 14 + 14 = 28) β†’ 38 βˆ’ 14 = 24Prompt: Subtraction undoes addition.
  2. Nia says 56 βˆ’ 41 = 5. Check by adding 5 + 41. Is Nia right? (Yes / No) β†’ NoPrompt: Work out 5 + 41.

You do: independent practice Β· 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket Β· 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which calculation checks that 36 + 19 = 55? (55 + 19 = 74 / 55 βˆ’ 19 = 36 / 19 + 19 = 38 / 36 βˆ’ 19 = 17) β†’ 55 βˆ’ 19 = 36Prompt: Subtraction undoes addition.
  2. Liam says 90 βˆ’ 73 = 17. Check by adding 17 + 73. Is Liam right? (Yes / No) β†’ YesPrompt: Work out 17 + 73.

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/ 6

  1. Question 1

    Which calculation checks that 37 + 25 = 62?

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

    Zara says 54 βˆ’ 24 = 40. Check by adding 40 + 24. Is Zara right?

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

    Which calculation checks that 58 + 28 = 86?

    • A. 58 βˆ’ 28 = 30
    • B. 28 + 28 = 56
    • C. 86 βˆ’ 28 = 58
    • D. 86 + 28 = 114
  4. Question 4

    Kofi says 58 βˆ’ 39 = 19. Check by adding 19 + 39. Is Kofi right?

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

    Which calculation checks that 26 + 31 = 57?

    • A. 57 + 31 = 88
    • B. 31 + 31 = 62
    • C. 57 βˆ’ 31 = 26
    • D. 26 βˆ’ 31 = -5
  6. Question 6

    Kwame says 92 βˆ’ 73 = 20. Check by adding 20 + 73. Is Kwame right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. D. 62 βˆ’ 25 = 37

  2. 2. B. No

  3. 3. C. 86 βˆ’ 28 = 58

  4. 4. A. Yes

  5. 5. C. 57 βˆ’ 31 = 26

  6. 6. B. No