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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 23 apples in a box and 21 on the table. How many apples are there in all? β†’ 44Prompt: Add the tens, then add the ones.
  2. Nia collected 42 beads in the morning and 28 in the afternoon. How many is that altogether? β†’ 70Prompt: Add the tens, then add the ones.
  3. There are 54 stars in a box and 27 on the table. How many stars are there in all? β†’ 81Prompt: 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 48 + 23 = 71? (48 βˆ’ 23 = 25 / 23 + 23 = 46 / 71 βˆ’ 23 = 48 / 71 + 23 = 94) β†’ 71 βˆ’ 23 = 48Prompt: Subtraction undoes addition.
  2. Noah says 58 βˆ’ 21 = 37. Check by adding 37 + 21. Is Noah right? (Yes / No) β†’ YesPrompt: Work out 37 + 21.

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. Chloe says 64 βˆ’ 45 = 19. Check by adding 19 + 45. Is Chloe right? (Yes / No) β†’ YesPrompt: Work out 19 + 45.
  2. Which calculation checks that 33 + 18 = 51? (51 + 18 = 69 / 18 + 18 = 36 / 51 βˆ’ 18 = 33 / 33 βˆ’ 18 = 15) β†’ 51 βˆ’ 18 = 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

    Ravi says 54 βˆ’ 36 = 18. Check by adding 18 + 36. Is Ravi right?

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

    Which calculation checks that 27 + 15 = 42?

    • A. 15 + 15 = 30
    • B. 42 + 15 = 57
    • C. 27 βˆ’ 15 = 12
    • D. 42 βˆ’ 15 = 27
  3. Question 3

    Isla says 57 βˆ’ 37 = 20. Check by adding 20 + 37. Is Isla right?

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

    Which calculation checks that 47 + 24 = 71?

    • A. 71 βˆ’ 24 = 47
    • B. 24 + 24 = 48
    • C. 47 βˆ’ 24 = 23
    • D. 71 + 24 = 95
  5. Question 5

    Amara says 95 βˆ’ 61 = 34. Check by adding 34 + 61. Is Amara right?

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

    Which calculation checks that 38 + 27 = 65?

    • A. 27 + 27 = 54
    • B. 38 βˆ’ 27 = 11
    • C. 65 βˆ’ 27 = 38
    • D. 65 + 27 = 92

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Answer key: Check an answer with the inverse operation

  1. 1. A. Yes

  2. 2. D. 42 βˆ’ 15 = 27

  3. 3. A. Yes

  4. 4. A. 71 βˆ’ 24 = 47

  5. 5. A. Yes

  6. 6. C. 65 βˆ’ 27 = 38