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Math lesson plan · 4th grade (Year 5 in England) · 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 · 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 760 + 470 by rounding each number to the nearest hundred first. → 1300Prompt: Round 760 to the nearest 100.
  2. Round 909 731 to the nearest 10 000. → 910000Prompt: Which two multiples of 10 000 is it between?
  3. Mateo wants to estimate 772 − 260. Which is the best estimate? (50 / 400 / 1500 / 500) → 500Prompt: Round both numbers to the nearest hundred.

Hook · 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 · 10 min

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

We do: guided practice · 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 7328 − 7033 by rounding each number to the nearest thousand. → 0Prompt: Round each number first.
  2. Mei added 55 407 + 23 283 and got 78 690. Round to the nearest ten thousand to estimate. Is Mei's answer reasonable? (yes / no) → yesPrompt: Round both numbers to the nearest 10 000.

You do: independent practice · 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Sam added 22 503 + 12 797 and got 35 300. Round to the nearest ten thousand to estimate. Is Sam's answer reasonable? (yes / no) → yesPrompt: Round both numbers to the nearest 10 000.
  2. Estimate 2979 + 3162 by rounding each number to the nearest thousand. → 6000Prompt: Round each number first.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 − 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

eurekami

Use rounding to check if an answer is reasonable

Name

Date

Score/ 8

  1. Question 1

    Hana added 51 644 + 24 060 and got 65 704. Round to the nearest ten thousand to estimate. Is Hana's answer reasonable?

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

    Estimate 2433 + 7186 by rounding each number to the nearest thousand.

    Answer

  3. Question 3

    Kai added 29 905 + 28 815 and got 58 720. Round to the nearest ten thousand to estimate. Is Kai's answer reasonable?

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

    Estimate 4663 + 3177 by rounding each number to the nearest thousand.

    Answer

  5. Question 5

    Ravi added 47 030 + 27 551 and got 74 581. Round to the nearest ten thousand to estimate. Is Ravi's answer reasonable?

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

    Estimate 6978 − 5384 by rounding each number to the nearest thousand.

    Answer

  7. Question 7

    Ava added 26 372 + 27 628 and got 54 000. Round to the nearest ten thousand to estimate. Is Ava's answer reasonable?

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

    Estimate 2948 + 7393 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. 9000

  3. 3. A. yes

  4. 4. 8000

  5. 5. A. yes

  6. 6. 2000

  7. 7. A. yes

  8. 8. 10000