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Math lesson plan · 4th grade (Year 5 in England) · 60 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 · 6 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 748 + 705 by rounding each number to the nearest hundred first. → 1400Prompt: Round 748 to the nearest 100.
  2. Round 27 289 to the nearest 1000. → 27000Prompt: Which two multiples of 1000 is it between?
  3. Lucia wants to estimate 305 + 410. Which is the best estimate? (800 / 1700 / 700 / 600) → 700Prompt: Round both numbers to the nearest hundred.

Hook · 6 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 · 12 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 · 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. Estimate 4223 − 2347 by rounding each number to the nearest thousand. → 2000Prompt: Round each number first.
  2. Yuki added 51 102 + 20 070 and got 71 172. Round to the nearest ten thousand to estimate. Is Yuki's answer reasonable? (yes / no) → yesPrompt: Round both numbers to the nearest 10 000.

You do: independent practice · 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 · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Mei added 32 603 + 21 927 and got 54 530. Round to the nearest ten thousand to estimate. Is Mei's answer reasonable? (yes / no) → yesPrompt: Round both numbers to the nearest 10 000.
  2. Estimate 6568 + 4591 by rounding each number to the nearest thousand. → 12000Prompt: 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

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Use rounding to check if an answer is reasonable

Name

Date

Score/ 8

  1. Question 1

    Estimate 7488 + 3170 by rounding each number to the nearest thousand.

    Answer

  2. Question 2

    Grace added 28 244 + 24 848 and got 43 092. Round to the nearest ten thousand to estimate. Is Grace's answer reasonable?

    • A. yes
    • B. no
  3. Question 3

    Estimate 4352 + 3723 by rounding each number to the nearest thousand.

    Answer

  4. Question 4

    Nia added 38 009 + 26 384 and got 64 393. Round to the nearest ten thousand to estimate. Is Nia's answer reasonable?

    • A. yes
    • B. no
  5. Question 5

    Estimate 8594 + 2649 by rounding each number to the nearest thousand.

    Answer

  6. Question 6

    Zara added 57 070 + 19 850 and got 66 920. Round to the nearest ten thousand to estimate. Is Zara's answer reasonable?

    • A. yes
    • B. no
  7. Question 7

    Estimate 8076 − 6393 by rounding each number to the nearest thousand.

    Answer

  8. Question 8

    Ben added 46 635 + 19 248 and got 65 883. Round to the nearest ten thousand to estimate. Is Ben's answer reasonable?

    • A. yes
    • B. no

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

  1. 1. 10000

  2. 2. B. no

  3. 3. 8000

  4. 4. A. yes

  5. 5. 12000

  6. 6. B. no

  7. 7. 2000

  8. 8. A. yes