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Math lesson plan · 3rd grade (Year 4 in England) · 60 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 · 6 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 10 more than 170? → 180Prompt: Which digit changes when you add 10?
  2. Which number rounds to 20 when rounded to the nearest 10? (15 / 25 / 14) → 15Prompt: Numbers from 15 up to 24 round to 20.
  3. What is 10 less than 207? → 197Prompt: Which digit changes when you subtract 10?

Hook · 6 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 · 12 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 · 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 733 + 588 by rounding each number to the nearest hundred first. → 1300Prompt: Round 733 to the nearest 100.
  2. Ava wants to estimate 449 − 331. Which is the best estimate? (300 / 1100 / 100 / 200) → 100Prompt: Round both numbers to the nearest hundred.

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. Mei wants to estimate 711 − 311. Which is the best estimate? (1400 / 40 / 400 / 300) → 400Prompt: Round both numbers to the nearest hundred.
  2. Estimate 513 + 213 by rounding each number to the nearest hundred first. → 700Prompt: Round 513 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 477 + 293 by rounding each number to the nearest hundred first.

    Answer

  2. Question 2

    Amara wants to estimate 841 − 154. Which is the best estimate?

    • A. 600
    • B. 1600
    • C. 700
    • D. 60
  3. Question 3

    Estimate 732 + 406 by rounding each number to the nearest hundred first.

    Answer

  4. Question 4

    Mateo wants to estimate 599 − 339. Which is the best estimate?

    • A. 30
    • B. 1300
    • C. 400
    • D. 300
  5. Question 5

    Estimate 388 + 713 by rounding each number to the nearest hundred first.

    Answer

  6. Question 6

    Isla wants to estimate 558 − 298. Which is the best estimate?

    • A. 30
    • B. 400
    • C. 300
    • D. 1300
  7. Question 7

    Estimate 512 + 461 by rounding each number to the nearest hundred first.

    Answer

  8. Question 8

    Ines wants to estimate 648 + 441. Which is the best estimate?

    • A. 1000
    • B. 2000
    • C. 100
    • D. 1100

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Answer key: Estimate sums and differences

  1. 1. 800

  2. 2. A. 600

  3. 3. 1100

  4. 4. D. 300

  5. 5. 1100

  6. 6. C. 300

  7. 7. 1000

  8. 8. A. 1000