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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 60 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· 6 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. Tariq has 36 stars. A friend gives Tariq 62 more. How many stars does Tariq have now? β†’ 98Prompt: Add the tens, then add the ones.
  2. Arjun has 26 cards. A friend gives Arjun 22 more. How many cards does Arjun have now? β†’ 48Prompt: Add the tens, then add the ones.
  3. There are 24 cookies in a box and 50 on the table. How many cookies are there in all? β†’ 74Prompt: Add the tens, then add the ones.

Hook Β· 6 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· 12 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· 12 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 44 + 29 = 73? (29 + 29 = 58 / 44 βˆ’ 29 = 15 / 73 βˆ’ 29 = 44 / 73 + 29 = 102) β†’ 73 βˆ’ 29 = 44Prompt: Subtraction undoes addition.
  2. Hiro says 67 βˆ’ 33 = 35. Check by adding 35 + 33. Is Hiro right? (Yes / No) β†’ NoPrompt: Work out 35 + 33.

You do: independent practice Β· 17 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· 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Chloe says 68 βˆ’ 44 = 34. Check by adding 34 + 44. Is Chloe right? (Yes / No) β†’ NoPrompt: Work out 34 + 44.
  2. Which calculation checks that 26 + 22 = 48? (22 + 22 = 44 / 26 βˆ’ 22 = 4 / 48 + 22 = 70 / 48 βˆ’ 22 = 26) β†’ 48 βˆ’ 22 = 26Prompt: 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/ 8

  1. Question 1

    Which calculation checks that 26 + 21 = 47?

    • A. 26 βˆ’ 21 = 5
    • B. 21 + 21 = 42
    • C. 47 βˆ’ 21 = 26
    • D. 47 + 21 = 68
  2. Question 2

    Zoe says 52 βˆ’ 32 = 30. Check by adding 30 + 32. Is Zoe right?

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

    Which calculation checks that 38 + 17 = 55?

    • A. 55 βˆ’ 17 = 38
    • B. 17 + 17 = 34
    • C. 55 + 17 = 72
    • D. 38 βˆ’ 17 = 21
  4. Question 4

    Isla says 63 βˆ’ 46 = 17. Check by adding 17 + 46. Is Isla right?

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

    Which calculation checks that 35 + 25 = 60?

    • A. 25 + 25 = 50
    • B. 60 + 25 = 85
    • C. 35 βˆ’ 25 = 10
    • D. 60 βˆ’ 25 = 35
  6. Question 6

    Sam says 63 βˆ’ 37 = 26. Check by adding 26 + 37. Is Sam right?

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

    Which calculation checks that 64 + 15 = 79?

    • A. 79 βˆ’ 15 = 64
    • B. 15 + 15 = 30
    • C. 79 + 15 = 94
    • D. 64 βˆ’ 15 = 49
  8. Question 8

    Diego says 81 βˆ’ 58 = 23. Check by adding 23 + 58. Is Diego right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. C. 47 βˆ’ 21 = 26

  2. 2. B. No

  3. 3. A. 55 βˆ’ 17 = 38

  4. 4. A. Yes

  5. 5. D. 60 βˆ’ 25 = 35

  6. 6. A. Yes

  7. 7. A. 79 βˆ’ 15 = 64

  8. 8. A. Yes