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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 770 + 488 by rounding each number to the nearest hundred first. → 1300Prompt: Round 770 to the nearest 100.
  2. Round 6922 to the nearest 100. → 6900Prompt: Which two multiples of 100 is it between?
  3. Omar wants to estimate 307 + 213. Which is the best estimate? (400 / 600 / 500 / 1500) → 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 2337 + 1872 by rounding each number to the nearest thousand. → 4000Prompt: Round each number first.
  2. Ben added 46 021 + 13 816 and got 59 837. Round to the nearest ten thousand to estimate. Is Ben'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. Estimate 8869 − 8793 by rounding each number to the nearest thousand. → 0Prompt: Round each number first.
  2. Elena added 43 551 + 17 806 and got 71 357. Round to the nearest ten thousand to estimate. Is Elena'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

    Ethan added 21 608 + 19 005 and got 50 613. Round to the nearest ten thousand to estimate. Is Ethan's answer reasonable?

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

    Estimate 7819 + 3971 by rounding each number to the nearest thousand.

    Answer

  3. Question 3

    Fatima added 58 085 + 26 369 and got 94 454. Round to the nearest ten thousand to estimate. Is Fatima's answer reasonable?

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

    Estimate 8605 + 4539 by rounding each number to the nearest thousand.

    Answer

  5. Question 5

    Diego added 53 561 + 11 910 and got 65 471. Round to the nearest ten thousand to estimate. Is Diego's answer reasonable?

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

    Estimate 4728 − 2495 by rounding each number to the nearest thousand.

    Answer

  7. Question 7

    Arjun added 65 155 + 24 600 and got 79 755. Round to the nearest ten thousand to estimate. Is Arjun's answer reasonable?

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

    Estimate 2956 − 2582 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. 12000

  3. 3. B. no

  4. 4. 14000

  5. 5. A. yes

  6. 6. 3000

  7. 7. B. no

  8. 8. 0