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Math lesson plan · 3rd grade (Year 4 in England) · 45 minutes

Estimate sums and differences

Addition and subtraction

CCSS 3.OA.D.8CCSS 3.NBT.A.1England: Y3 Addition and subtractionEngland: Y4 Addition and subtraction

Objective and success criteria

Students will: Estimate sums and differences.

  • 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: Round to the nearest 10 or 100; Add and subtract within 1000

Leads to: Use rounding to check if an answer is reasonable

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 (Round to the nearest 10 or 100; Add and subtract within 1000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is 100 more than 302? → 402Prompt: Which digit changes when you add 100?
  2. Which number rounds to 50 when rounded to the nearest 10? (55 / 61 / 51) → 51Prompt: Numbers from 45 up to 54 round to 50.
  3. What is 100 less than 339? → 239Prompt: Which digit changes when you subtract 100?

Hook · 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Estimate sums and differences. 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 129 + 529 by rounding each number to the nearest hundred first.
  • Step 1: 129 ≈ 100
  • Step 2: 529 ≈ 500
  • Step 3: 100 + 500 = 600
  • Answer: 600
  • 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 233 + 681 by rounding each number to the nearest hundred first. → 900Prompt: Round 233 to the nearest 100.
  2. Omar wants to estimate 695 + 348. Which is the best estimate? (1100 / 100 / 1000 / 900) → 1000Prompt: Round both numbers to the nearest hundred.

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. Ben wants to estimate 722 + 456. Which is the best estimate? (1100 / 2200 / 1300 / 1200) → 1200Prompt: Round both numbers to the nearest hundred.
  2. Estimate 617 + 495 by rounding each number to the nearest hundred first. → 1100Prompt: Round 617 to the nearest 100.

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: Round to the nearest 10 or 100.
  • 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

  • Move on to: Use rounding to check if an answer is reasonable.
  • 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-3.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Estimate sums and differences

Name

Date

Score/ 8

  1. Question 1

    Estimate 270 + 268 by rounding each number to the nearest hundred first.

    Answer

  2. Question 2

    Noah wants to estimate 459 − 265. Which is the best estimate?

    • A. 20
    • B. 300
    • C. 200
    • D. 100
  3. Question 3

    Estimate 782 + 612 by rounding each number to the nearest hundred first.

    Answer

  4. Question 4

    Daniel wants to estimate 709 − 389. Which is the best estimate?

    • A. 30
    • B. 300
    • C. 400
    • D. 200
  5. Question 5

    Estimate 540 + 641 by rounding each number to the nearest hundred first.

    Answer

  6. Question 6

    Sam wants to estimate 303 + 281. Which is the best estimate?

    • A. 60
    • B. 600
    • C. 500
    • D. 700
  7. Question 7

    Estimate 425 + 767 by rounding each number to the nearest hundred first.

    Answer

  8. Question 8

    Ravi wants to estimate 622 + 339. Which is the best estimate?

    • A. 90
    • B. 800
    • C. 900
    • D. 1000

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Answer key: Estimate sums and differences

  1. 1. 600

  2. 2. C. 200

  3. 3. 1400

  4. 4. B. 300

  5. 5. 1100

  6. 6. B. 600

  7. 7. 1200

  8. 8. C. 900