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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. Jamal has 29 beads. A friend gives Jamal 66 more. How many beads does Jamal have now? β†’ 95Prompt: Add the tens, then add the ones.
  2. Aisha has 22 stickers. A friend gives Aisha 43 more. How many stickers does Aisha have now? β†’ 65Prompt: Add the tens, then add the ones.
  3. There are 45 cards in a box and 16 on the table. How many cards are there in all? β†’ 61Prompt: 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 27 + 29 = 56? (56 + 29 = 85 / 29 + 29 = 58 / 56 βˆ’ 29 = 27 / 27 βˆ’ 29 = -2) β†’ 56 βˆ’ 29 = 27Prompt: Subtraction undoes addition.
  2. Tariq says 88 βˆ’ 51 = 37. Check by adding 37 + 51. Is Tariq right? (Yes / No) β†’ YesPrompt: Work out 37 + 51.

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. Which calculation checks that 39 + 17 = 56? (17 + 17 = 34 / 56 + 17 = 73 / 56 βˆ’ 17 = 39 / 39 βˆ’ 17 = 22) β†’ 56 βˆ’ 17 = 39Prompt: Subtraction undoes addition.
  2. Chloe says 88 βˆ’ 27 = 51. Check by adding 51 + 27. Is Chloe right? (Yes / No) β†’ NoPrompt: Work out 51 + 27.

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

    Diego says 78 βˆ’ 55 = 23. Check by adding 23 + 55. Is Diego right?

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

    Which calculation checks that 41 + 20 = 61?

    • A. 20 + 20 = 40
    • B. 61 + 20 = 81
    • C. 61 βˆ’ 20 = 41
    • D. 41 βˆ’ 20 = 21
  3. Question 3

    Mateo says 71 βˆ’ 24 = 57. Check by adding 57 + 24. Is Mateo right?

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

    Which calculation checks that 50 + 21 = 71?

    • A. 71 βˆ’ 21 = 50
    • B. 71 + 21 = 92
    • C. 50 βˆ’ 21 = 29
    • D. 21 + 21 = 42
  5. Question 5

    Hana says 85 βˆ’ 70 = 15. Check by adding 15 + 70. Is Hana right?

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

    Which calculation checks that 39 + 31 = 70?

    • A. 70 βˆ’ 31 = 39
    • B. 70 + 31 = 101
    • C. 39 βˆ’ 31 = 8
    • D. 31 + 31 = 62

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Answer key: Check an answer with the inverse operation

  1. 1. A. Yes

  2. 2. C. 61 βˆ’ 20 = 41

  3. 3. B. No

  4. 4. A. 71 βˆ’ 21 = 50

  5. 5. A. Yes

  6. 6. A. 70 βˆ’ 31 = 39