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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 39 cookies in a box and 50 on the table. How many cookies are there in all? β†’ 89Prompt: Add the tens, then add the ones.
  2. There are 57 cookies in a box and 22 on the table. How many cookies are there in all? β†’ 79Prompt: Add the tens, then add the ones.
  3. Jamal collected 29 marbles in the morning and 44 in the afternoon. How many is that altogether? β†’ 73Prompt: 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 58 + 21 = 79? (21 + 21 = 42 / 79 βˆ’ 21 = 58 / 79 + 21 = 100 / 58 βˆ’ 21 = 37) β†’ 79 βˆ’ 21 = 58Prompt: Subtraction undoes addition.
  2. Amara says 60 βˆ’ 20 = 40. Check by adding 40 + 20. Is Amara right? (Yes / No) β†’ YesPrompt: Work out 40 + 20.

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 67 + 25 = 92? (25 + 25 = 50 / 92 + 25 = 117 / 92 βˆ’ 25 = 67 / 67 βˆ’ 25 = 42) β†’ 92 βˆ’ 25 = 67Prompt: Subtraction undoes addition.
  2. Hiro says 53 βˆ’ 21 = 22. Check by adding 22 + 21. Is Hiro right? (Yes / No) β†’ NoPrompt: Work out 22 + 21.

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 29 + 20 = 49?

    • A. 49 βˆ’ 20 = 29
    • B. 29 βˆ’ 20 = 9
    • C. 20 + 20 = 40
    • D. 49 + 20 = 69
  2. Question 2

    Arjun says 76 βˆ’ 29 = 47. Check by adding 47 + 29. Is Arjun right?

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

    Which calculation checks that 68 + 17 = 85?

    • A. 85 + 17 = 102
    • B. 68 βˆ’ 17 = 51
    • C. 85 βˆ’ 17 = 68
    • D. 17 + 17 = 34
  4. Question 4

    Ethan says 54 βˆ’ 26 = 38. Check by adding 38 + 26. Is Ethan right?

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

    Which calculation checks that 36 + 18 = 54?

    • A. 36 βˆ’ 18 = 18
    • B. 54 + 18 = 72
    • C. 18 + 18 = 36
    • D. 54 βˆ’ 18 = 36
  6. Question 6

    Amara says 74 βˆ’ 23 = 51. Check by adding 51 + 23. Is Amara right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. A. 49 βˆ’ 20 = 29

  2. 2. A. Yes

  3. 3. C. 85 βˆ’ 17 = 68

  4. 4. B. No

  5. 5. D. 54 βˆ’ 18 = 36

  6. 6. A. Yes