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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 563 + 596 by rounding each number to the nearest hundred first. → 1200Prompt: Round 563 to the nearest 100.
  2. Round 489 303 to the nearest 10 000. → 490000Prompt: Which two multiples of 10 000 is it between?
  3. Hiro wants to estimate 539 − 182. Which is the best estimate? (400 / 200 / 300 / 30) → 300Prompt: 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 6058 + 7318 by rounding each number to the nearest thousand. → 13000Prompt: Round each number first.
  2. Fatima added 59 629 + 11 287 and got 80 916. Round to the nearest ten thousand to estimate. Is Fatima's answer reasonable? (yes / no) → noPrompt: 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 8891 − 6692 by rounding each number to the nearest thousand. → 2000Prompt: Round each number first.
  2. Yuki added 31 277 + 15 162 and got 56 439. Round to the nearest ten thousand to estimate. Is Yuki'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 8124 − 2858 by rounding each number to the nearest thousand.

    Answer

  2. Question 2

    Kai added 25 996 + 19 121 and got 45 117. Round to the nearest ten thousand to estimate. Is Kai's answer reasonable?

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

    Estimate 8167 − 7339 by rounding each number to the nearest thousand.

    Answer

  4. Question 4

    Noah added 27 157 + 11 178 and got 38 335. Round to the nearest ten thousand to estimate. Is Noah's answer reasonable?

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

    Estimate 8701 − 3439 by rounding each number to the nearest thousand.

    Answer

  6. Question 6

    Leo added 25 674 + 22 920 and got 48 594. Round to the nearest ten thousand to estimate. Is Leo's answer reasonable?

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

    Estimate 8893 − 8361 by rounding each number to the nearest thousand.

    Answer

  8. Question 8

    Elena added 27 289 + 24 461 and got 41 750. Round to the nearest ten thousand to estimate. Is Elena's answer reasonable?

    • A. yes
    • B. no

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

  1. 1. 5000

  2. 2. A. yes

  3. 3. 1000

  4. 4. A. yes

  5. 5. 6000

  6. 6. A. yes

  7. 7. 1000

  8. 8. B. no