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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 309 + 168 by rounding each number to the nearest hundred first. → 500Prompt: Round 309 to the nearest 100.
  2. Round 59 544 to the nearest 1000. → 60000Prompt: Which two multiples of 1000 is it between?
  3. Kwame wants to estimate 485 + 451. Which is the best estimate? (1000 / 2000 / 900 / 1100) → 1000Prompt: 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 4050 − 2116 by rounding each number to the nearest thousand. → 2000Prompt: Round each number first.
  2. Omar added 58 205 + 20 762 and got 78 967. Round to the nearest ten thousand to estimate. Is Omar'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 7949 + 7317 by rounding each number to the nearest thousand. → 15000Prompt: Round each number first.
  2. Lucia added 40 819 + 26 909 and got 77 728. Round to the nearest ten thousand to estimate. Is Lucia'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

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Use rounding to check if an answer is reasonable

Name

Date

Score/ 8

  1. Question 1

    Estimate 5316 + 5657 by rounding each number to the nearest thousand.

    Answer

  2. Question 2

    Mateo added 58 170 + 19 188 and got 67 358. Round to the nearest ten thousand to estimate. Is Mateo's answer reasonable?

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

    Estimate 4345 + 6453 by rounding each number to the nearest thousand.

    Answer

  4. Question 4

    Priya added 27 117 + 17 636 and got 54 753. Round to the nearest ten thousand to estimate. Is Priya's answer reasonable?

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

    Estimate 6540 + 6622 by rounding each number to the nearest thousand.

    Answer

  6. Question 6

    Fatima added 40 824 + 24 379 and got 65 203. Round to the nearest ten thousand to estimate. Is Fatima's answer reasonable?

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

    Estimate 8308 − 6337 by rounding each number to the nearest thousand.

    Answer

  8. Question 8

    Chloe added 56 166 + 15 192 and got 81 358. Round to the nearest ten thousand to estimate. Is Chloe's answer reasonable?

    • A. yes
    • B. no

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

  1. 1. 11000

  2. 2. B. no

  3. 3. 10000

  4. 4. B. no

  5. 5. 14000

  6. 6. A. yes

  7. 7. 2000

  8. 8. B. no