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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. There are 50 balls in a box and 24 on the table. How many balls are there in all? β†’ 74Prompt: Add the tens, then add the ones.
  2. Kofi collected 18 balls in the morning and 55 in the afternoon. How many is that altogether? β†’ 73Prompt: Add the tens, then add the ones.
  3. There are 16 shells in a box and 48 on the table. How many shells are there in all? β†’ 64Prompt: 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 39 + 23 = 62? (39 βˆ’ 23 = 16 / 62 βˆ’ 23 = 39 / 62 + 23 = 85 / 23 + 23 = 46) β†’ 62 βˆ’ 23 = 39Prompt: Subtraction undoes addition.
  2. Hana says 81 βˆ’ 25 = 56. Check by adding 56 + 25. Is Hana right? (Yes / No) β†’ YesPrompt: Work out 56 + 25.

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. Leo says 63 βˆ’ 17 = 56. Check by adding 56 + 17. Is Leo right? (Yes / No) β†’ NoPrompt: Work out 56 + 17.
  2. Which calculation checks that 34 + 26 = 60? (60 + 26 = 86 / 60 βˆ’ 26 = 34 / 34 βˆ’ 26 = 8 / 26 + 26 = 52) β†’ 60 βˆ’ 26 = 34Prompt: 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 28 + 18 = 46?

    • A. 28 βˆ’ 18 = 10
    • B. 46 + 18 = 64
    • C. 46 βˆ’ 18 = 28
    • D. 18 + 18 = 36
  2. Question 2

    Kofi says 67 βˆ’ 32 = 35. Check by adding 35 + 32. Is Kofi right?

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

    Which calculation checks that 52 + 23 = 75?

    • A. 23 + 23 = 46
    • B. 75 + 23 = 98
    • C. 52 βˆ’ 23 = 29
    • D. 75 βˆ’ 23 = 52
  4. Question 4

    Ravi says 78 βˆ’ 54 = 34. Check by adding 34 + 54. Is Ravi right?

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

    Which calculation checks that 23 + 23 = 46?

    • A. 23 + 23 = 46
    • B. 46 + 23 = 69
    • C. 23 βˆ’ 23 = 0
    • D. 46 βˆ’ 23 = 23
  6. Question 6

    Hana says 73 βˆ’ 40 = 33. Check by adding 33 + 40. Is Hana right?

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

    Which calculation checks that 30 + 26 = 56?

    • A. 56 + 26 = 82
    • B. 30 βˆ’ 26 = 4
    • C. 56 βˆ’ 26 = 30
    • D. 26 + 26 = 52
  8. Question 8

    Mei says 77 βˆ’ 35 = 43. Check by adding 43 + 35. Is Mei right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. C. 46 βˆ’ 18 = 28

  2. 2. A. Yes

  3. 3. D. 75 βˆ’ 23 = 52

  4. 4. B. No

  5. 5. D. 46 βˆ’ 23 = 23

  6. 6. A. Yes

  7. 7. C. 56 βˆ’ 26 = 30

  8. 8. B. No