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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 559 + 425 by rounding each number to the nearest hundred first. → 1000Prompt: Round 559 to the nearest 100.
  2. Round 816 189 to the nearest 10 000. → 820000Prompt: Which two multiples of 10 000 is it between?
  3. Maya wants to estimate 647 − 159. Which is the best estimate? (1400 / 40 / 400 / 500) → 400Prompt: 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 6266 − 2791 by rounding each number to the nearest thousand. → 3000Prompt: Round each number first.
  2. Felix added 65 253 + 14 831 and got 70 084. Round to the nearest ten thousand to estimate. Is Felix's answer reasonable? (yes / no) → noPrompt: 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. Estimate 7416 + 1843 by rounding each number to the nearest thousand. → 9000Prompt: Round each number first.
  2. Tariq added 27 930 + 27 547 and got 65 477. Round to the nearest ten thousand to estimate. Is Tariq's answer reasonable? (yes / no) → noPrompt: Round both numbers to the nearest 10 000.

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

    Hiro added 61 913 + 19 843 and got 71 756. Round to the nearest ten thousand to estimate. Is Hiro's answer reasonable?

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

    Estimate 7193 − 4821 by rounding each number to the nearest thousand.

    Answer

  3. Question 3

    Hiro added 23 835 + 27 137 and got 50 972. Round to the nearest ten thousand to estimate. Is Hiro's answer reasonable?

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

    Estimate 5167 + 4314 by rounding each number to the nearest thousand.

    Answer

  5. Question 5

    Ana added 46 930 + 16 696 and got 53 626. Round to the nearest ten thousand to estimate. Is Ana's answer reasonable?

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

    Estimate 5808 − 5129 by rounding each number to the nearest thousand.

    Answer

  7. Question 7

    Tariq added 55 065 + 27 858 and got 82 923. Round to the nearest ten thousand to estimate. Is Tariq's answer reasonable?

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

    Estimate 6342 − 1350 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. 9000

  5. 5. B. no

  6. 6. 1000

  7. 7. A. yes

  8. 8. 5000