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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 stickers in a box and 62 on the table. How many stickers are there in all? β†’ 89Prompt: Add the tens, then add the ones.
  2. There are 26 stars in a box and 68 on the table. How many stars are there in all? β†’ 94Prompt: Add the tens, then add the ones.
  3. Ravi collected 18 stickers in the morning and 16 in the afternoon. How many is that altogether? β†’ 34Prompt: 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 55 + 27 = 82? (82 + 27 = 109 / 55 βˆ’ 27 = 28 / 82 βˆ’ 27 = 55 / 27 + 27 = 54) β†’ 82 βˆ’ 27 = 55Prompt: Subtraction undoes addition.
  2. Ava says 66 βˆ’ 30 = 37. Check by adding 37 + 30. Is Ava right? (Yes / No) β†’ NoPrompt: Work out 37 + 30.

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. Jamal says 71 βˆ’ 40 = 41. Check by adding 41 + 40. Is Jamal right? (Yes / No) β†’ NoPrompt: Work out 41 + 40.
  2. Which calculation checks that 33 + 16 = 49? (33 βˆ’ 16 = 17 / 49 βˆ’ 16 = 33 / 16 + 16 = 32 / 49 + 16 = 65) β†’ 49 βˆ’ 16 = 33Prompt: 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

    Ava says 95 βˆ’ 21 = 84. Check by adding 84 + 21. Is Ava right?

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

    Which calculation checks that 66 + 30 = 96?

    • A. 96 βˆ’ 30 = 66
    • B. 30 + 30 = 60
    • C. 66 βˆ’ 30 = 36
    • D. 96 + 30 = 126
  3. Question 3

    Liam says 82 βˆ’ 32 = 40. Check by adding 40 + 32. Is Liam right?

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

    Which calculation checks that 30 + 14 = 44?

    • A. 44 + 14 = 58
    • B. 44 βˆ’ 14 = 30
    • C. 14 + 14 = 28
    • D. 30 βˆ’ 14 = 16
  5. Question 5

    Mei says 77 βˆ’ 36 = 51. Check by adding 51 + 36. Is Mei right?

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

    Which calculation checks that 64 + 24 = 88?

    • A. 88 βˆ’ 24 = 64
    • B. 88 + 24 = 112
    • C. 64 βˆ’ 24 = 40
    • D. 24 + 24 = 48

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Answer key: Check an answer with the inverse operation

  1. 1. B. No

  2. 2. A. 96 βˆ’ 30 = 66

  3. 3. B. No

  4. 4. B. 44 βˆ’ 14 = 30

  5. 5. B. No

  6. 6. A. 88 βˆ’ 24 = 64