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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 20 stars in a box and 58 on the table. How many stars are there in all? β†’ 78Prompt: Add the tens, then add the ones.
  2. Elena collected 49 cards in the morning and 16 in the afternoon. How many is that altogether? β†’ 65Prompt: Add the tens, then add the ones.
  3. Isla has 46 crayons. A friend gives Isla 26 more. How many crayons does Isla have now? β†’ 72Prompt: 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 47 + 19 = 66? (47 βˆ’ 19 = 28 / 19 + 19 = 38 / 66 βˆ’ 19 = 47 / 66 + 19 = 85) β†’ 66 βˆ’ 19 = 47Prompt: Subtraction undoes addition.
  2. Kwame says 69 βˆ’ 24 = 46. Check by adding 46 + 24. Is Kwame right? (Yes / No) β†’ NoPrompt: Work out 46 + 24.

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. Which calculation checks that 55 + 23 = 78? (55 βˆ’ 23 = 32 / 78 + 23 = 101 / 78 βˆ’ 23 = 55 / 23 + 23 = 46) β†’ 78 βˆ’ 23 = 55Prompt: Subtraction undoes addition.
  2. Noah says 54 βˆ’ 33 = 21. Check by adding 21 + 33. Is Noah right? (Yes / No) β†’ YesPrompt: Work out 21 + 33.

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 55 + 23 = 78?

    • A. 78 + 23 = 101
    • B. 78 βˆ’ 23 = 55
    • C. 55 βˆ’ 23 = 32
    • D. 23 + 23 = 46
  2. Question 2

    Hiro says 77 βˆ’ 62 = 5. Check by adding 5 + 62. Is Hiro right?

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

    Which calculation checks that 62 + 28 = 90?

    • A. 62 βˆ’ 28 = 34
    • B. 28 + 28 = 56
    • C. 90 + 28 = 118
    • D. 90 βˆ’ 28 = 62
  4. Question 4

    Ravi says 63 βˆ’ 43 = 20. Check by adding 20 + 43. Is Ravi right?

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

    Which calculation checks that 33 + 16 = 49?

    • A. 49 + 16 = 65
    • B. 33 βˆ’ 16 = 17
    • C. 16 + 16 = 32
    • D. 49 βˆ’ 16 = 33
  6. Question 6

    Sofia says 75 βˆ’ 40 = 35. Check by adding 35 + 40. Is Sofia right?

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

    Which calculation checks that 46 + 14 = 60?

    • A. 60 + 14 = 74
    • B. 60 βˆ’ 14 = 46
    • C. 46 βˆ’ 14 = 32
    • D. 14 + 14 = 28
  8. Question 8

    Elena says 89 βˆ’ 39 = 40. Check by adding 40 + 39. Is Elena right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. B. 78 βˆ’ 23 = 55

  2. 2. B. No

  3. 3. D. 90 βˆ’ 28 = 62

  4. 4. A. Yes

  5. 5. D. 49 βˆ’ 16 = 33

  6. 6. A. Yes

  7. 7. B. 60 βˆ’ 14 = 46

  8. 8. B. No