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Math lesson plan Β· 4th grade (Year 5 in England) Β· 45 minutes

Use rounding to check if an answer is reasonable

Addition and subtraction

CCSS 4.OA.A.3CCSS 4.NBT.A.3England: Y5 Addition and subtraction

Objective and success criteria

Students will: Use rounding to check if an answer is reasonable.

  • 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: Estimate sums and differences; Round multi-digit numbers

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· 5 min

  • Quick retrieval from earlier learning (Estimate sums and differences; Round multi-digit numbers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Estimate 164 + 255 by rounding each number to the nearest hundred first. β†’ 500Prompt: Round 164 to the nearest 100.
  2. Round 476β€―532 to the nearest 10β€―000. β†’ 480000Prompt: Which two multiples of 10β€―000 is it between?
  3. Nia wants to estimate 770 βˆ’ 284. Which is the best estimate? (500 / 50 / 600 / 400) β†’ 500Prompt: Round both numbers to the nearest hundred.

Hook Β· 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Use rounding to check if an answer is reasonable. Read the success criteria together.

I do: model it Β· 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Estimate 7242 βˆ’ 3757 by rounding each number to the nearest thousand.
  • Step 1: 7242 β‰ˆ 7000, 3757 β‰ˆ 4000
  • Step 2: 7000 βˆ’ 4000 = 3000
  • Answer: 3000
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 10 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. Estimate 8073 βˆ’ 7924 by rounding each number to the nearest thousand. β†’ 0Prompt: Round each number first.
  2. Ava added 53β€―643 + 12β€―828 and got 66β€―471. Round to the nearest ten thousand to estimate. Is Ava's answer reasonable? (yes / no) β†’ yesPrompt: Round both numbers to the nearest 10 000.

You do: independent practice Β· 10 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· 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Estimate 8586 βˆ’ 3117 by rounding each number to the nearest thousand. β†’ 6000Prompt: Round each number first.
  2. Fatima added 24β€―080 + 25β€―347 and got 59β€―427. Round to the nearest ten thousand to estimate. Is Fatima's answer reasonable? (yes / no) β†’ noPrompt: Round both numbers to the nearest 10 000.

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: Estimate sums and differences.
  • 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-4.

Free lesson plan from eurekami.com/lesson-plan-builder

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Use rounding to check if an answer is reasonable

Name

Date

Score/ 8

  1. Question 1

    Isla added 51β€―379 + 20β€―682 and got 62β€―061. Round to the nearest ten thousand to estimate. Is Isla's answer reasonable?

    • A. yes
    • B. no
  2. Question 2

    Estimate 8852 βˆ’ 7408 by rounding each number to the nearest thousand.

    Answer

  3. Question 3

    Omar added 60β€―498 + 12β€―182 and got 72β€―680. Round to the nearest ten thousand to estimate. Is Omar's answer reasonable?

    • A. yes
    • B. no
  4. Question 4

    Estimate 7389 βˆ’ 4816 by rounding each number to the nearest thousand.

    Answer

  5. Question 5

    Daniel added 37β€―508 + 14β€―107 and got 51β€―615. Round to the nearest ten thousand to estimate. Is Daniel's answer reasonable?

    • A. yes
    • B. no
  6. Question 6

    Estimate 8345 βˆ’ 4666 by rounding each number to the nearest thousand.

    Answer

  7. Question 7

    Yuki added 38β€―609 + 27β€―405 and got 66β€―014. Round to the nearest ten thousand to estimate. Is Yuki's answer reasonable?

    • A. yes
    • B. no
  8. Question 8

    Estimate 7934 βˆ’ 3147 by rounding each number to the nearest thousand.

    Answer

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Answer key: Use rounding to check if an answer is reasonable

  1. 1. B. no

  2. 2. 2000

  3. 3. A. yes

  4. 4. 2000

  5. 5. A. yes

  6. 6. 3000

  7. 7. A. yes

  8. 8. 5000

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