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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 30 marbles in a box and 61 on the table. How many marbles are there in all? β†’ 91Prompt: Add the tens, then add the ones.
  2. Priya has 57 apples. A friend gives Priya 34 more. How many apples does Priya have now? β†’ 91Prompt: Add the tens, then add the ones.
  3. There are 46 marbles in a box and 24 on the table. How many marbles are there in all? β†’ 70Prompt: 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 31 + 24 = 55? (24 + 24 = 48 / 55 + 24 = 79 / 31 βˆ’ 24 = 7 / 55 βˆ’ 24 = 31) β†’ 55 βˆ’ 24 = 31Prompt: Subtraction undoes addition.
  2. Fatima says 70 βˆ’ 29 = 31. Check by adding 31 + 29. Is Fatima right? (Yes / No) β†’ NoPrompt: Work out 31 + 29.

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. Hana says 92 βˆ’ 42 = 50. Check by adding 50 + 42. Is Hana right? (Yes / No) β†’ YesPrompt: Work out 50 + 42.
  2. Which calculation checks that 43 + 21 = 64? (64 βˆ’ 21 = 43 / 64 + 21 = 85 / 43 βˆ’ 21 = 22 / 21 + 21 = 42) β†’ 64 βˆ’ 21 = 43Prompt: 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

    Which calculation checks that 63 + 18 = 81?

    • A. 63 βˆ’ 18 = 45
    • B. 81 + 18 = 99
    • C. 81 βˆ’ 18 = 63
    • D. 18 + 18 = 36
  2. Question 2

    Grace says 69 βˆ’ 39 = 30. Check by adding 30 + 39. Is Grace right?

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

    Which calculation checks that 45 + 31 = 76?

    • A. 76 βˆ’ 31 = 45
    • B. 76 + 31 = 107
    • C. 31 + 31 = 62
    • D. 45 βˆ’ 31 = 14
  4. Question 4

    Noah says 54 βˆ’ 24 = 30. Check by adding 30 + 24. Is Noah right?

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

    Which calculation checks that 46 + 26 = 72?

    • A. 46 βˆ’ 26 = 20
    • B. 72 + 26 = 98
    • C. 26 + 26 = 52
    • D. 72 βˆ’ 26 = 46
  6. Question 6

    Ravi says 91 βˆ’ 61 = 30. Check by adding 30 + 61. Is Ravi right?

    • A. Yes
    • B. No

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Answer key: Check an answer with the inverse operation

  1. 1. C. 81 βˆ’ 18 = 63

  2. 2. A. Yes

  3. 3. A. 76 βˆ’ 31 = 45

  4. 4. A. Yes

  5. 5. D. 72 βˆ’ 26 = 46

  6. 6. A. Yes