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Math lesson plan Β· 2nd grade (Year 3 in England) Β· 45 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· 5 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. Elena has 50 marbles. A friend gives Elena 29 more. How many marbles does Elena have now? β†’ 79Prompt: Add the tens, then add the ones.
  2. Daniel has 58 crayons. A friend gives Daniel 15 more. How many crayons does Daniel have now? β†’ 73Prompt: Add the tens, then add the ones.
  3. There are 26 stickers in a box and 66 on the table. How many stickers are there in all? β†’ 92Prompt: Add the tens, then add the ones.

Hook Β· 5 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· 10 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· 10 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 50 + 20 = 70? (70 + 20 = 90 / 20 + 20 = 40 / 70 βˆ’ 20 = 50 / 50 βˆ’ 20 = 30) β†’ 70 βˆ’ 20 = 50Prompt: Subtraction undoes addition.
  2. Yuki says 58 βˆ’ 37 = 21. Check by adding 21 + 37. Is Yuki right? (Yes / No) β†’ YesPrompt: Work out 21 + 37.

You do: independent practice Β· 10 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· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Which calculation checks that 34 + 26 = 60? (34 βˆ’ 26 = 8 / 60 + 26 = 86 / 26 + 26 = 52 / 60 βˆ’ 26 = 34) β†’ 60 βˆ’ 26 = 34Prompt: Subtraction undoes addition.
  2. Diego says 66 βˆ’ 37 = 29. Check by adding 29 + 37. Is Diego right? (Yes / No) β†’ YesPrompt: Work out 29 + 37.

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 49 + 23 = 72?

    • A. 23 + 23 = 46
    • B. 72 + 23 = 95
    • C. 49 βˆ’ 23 = 26
    • D. 72 βˆ’ 23 = 49
  2. Question 2

    Ava says 73 βˆ’ 41 = 32. Check by adding 32 + 41. Is Ava right?

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

    Which calculation checks that 56 + 25 = 81?

    • A. 56 βˆ’ 25 = 31
    • B. 81 βˆ’ 25 = 56
    • C. 81 + 25 = 106
    • D. 25 + 25 = 50
  4. Question 4

    Liam says 91 βˆ’ 19 = 82. Check by adding 82 + 19. Is Liam right?

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

    Which calculation checks that 44 + 28 = 72?

    • A. 44 βˆ’ 28 = 16
    • B. 28 + 28 = 56
    • C. 72 + 28 = 100
    • D. 72 βˆ’ 28 = 44
  6. Question 6

    Ben says 56 βˆ’ 32 = 24. Check by adding 24 + 32. Is Ben right?

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

    Which calculation checks that 42 + 24 = 66?

    • A. 66 βˆ’ 24 = 42
    • B. 66 + 24 = 90
    • C. 42 βˆ’ 24 = 18
    • D. 24 + 24 = 48
  8. Question 8

    Ravi says 63 βˆ’ 44 = 19. Check by adding 19 + 44. Is Ravi right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. D. 72 βˆ’ 23 = 49

  2. 2. A. Yes

  3. 3. B. 81 βˆ’ 25 = 56

  4. 4. B. No

  5. 5. D. 72 βˆ’ 28 = 44

  6. 6. A. Yes

  7. 7. A. 66 βˆ’ 24 = 42

  8. 8. A. Yes