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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 52 on the table. How many cards are there in all? β†’ 79Prompt: Add the tens, then add the ones.
  2. Felix has 39 cards. A friend gives Felix 54 more. How many cards does Felix have now? β†’ 93Prompt: Add the tens, then add the ones.
  3. Ben collected 49 stickers in the morning and 39 in the afternoon. How many is that altogether? β†’ 88Prompt: 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 29 + 18 = 47? (29 βˆ’ 18 = 11 / 47 βˆ’ 18 = 29 / 47 + 18 = 65 / 18 + 18 = 36) β†’ 47 βˆ’ 18 = 29Prompt: Subtraction undoes addition.
  2. Mei says 74 βˆ’ 29 = 46. Check by adding 46 + 29. Is Mei right? (Yes / No) β†’ NoPrompt: Work out 46 + 29.

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. Tariq says 85 βˆ’ 30 = 55. Check by adding 55 + 30. Is Tariq right? (Yes / No) β†’ YesPrompt: Work out 55 + 30.
  2. Which calculation checks that 61 + 29 = 90? (61 βˆ’ 29 = 32 / 90 βˆ’ 29 = 61 / 29 + 29 = 58 / 90 + 29 = 119) β†’ 90 βˆ’ 29 = 61Prompt: 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/ 6

  1. Question 1

    Which calculation checks that 26 + 24 = 50?

    • A. 50 + 24 = 74
    • B. 24 + 24 = 48
    • C. 50 βˆ’ 24 = 26
    • D. 26 βˆ’ 24 = 2
  2. Question 2

    Aisha says 77 βˆ’ 47 = 30. Check by adding 30 + 47. Is Aisha right?

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

    Which calculation checks that 54 + 18 = 72?

    • A. 72 βˆ’ 18 = 54
    • B. 54 βˆ’ 18 = 36
    • C. 18 + 18 = 36
    • D. 72 + 18 = 90
  4. Question 4

    Ana says 95 βˆ’ 77 = 8. Check by adding 8 + 77. Is Ana right?

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

    Which calculation checks that 68 + 25 = 93?

    • A. 93 + 25 = 118
    • B. 68 βˆ’ 25 = 43
    • C. 25 + 25 = 50
    • D. 93 βˆ’ 25 = 68
  6. Question 6

    Noah says 83 βˆ’ 66 = 27. Check by adding 27 + 66. Is Noah right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. C. 50 βˆ’ 24 = 26

  2. 2. A. Yes

  3. 3. A. 72 βˆ’ 18 = 54

  4. 4. B. No

  5. 5. D. 93 βˆ’ 25 = 68

  6. 6. B. No