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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 10 less than 320? → 310Prompt: Which digit changes when you subtract 10?
  2. Which number rounds to 70 when rounded to the nearest 10? (66 / 81 / 64) → 66Prompt: Numbers from 65 up to 74 round to 70.
  3. What is 100 more than 715? → 815Prompt: Which digit changes when you add 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 158 + 748 by rounding each number to the nearest hundred first. → 900Prompt: Round 158 to the nearest 100.
  2. Hana wants to estimate 825 − 196. Which is the best estimate? (500 / 600 / 1600 / 60) → 600Prompt: 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. Elena wants to estimate 620 − 263. Which is the best estimate? (300 / 1300 / 200 / 30) → 300Prompt: Round both numbers to the nearest hundred.
  2. Estimate 777 + 471 by rounding each number to the nearest hundred first. → 1300Prompt: Round 777 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

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Estimate sums and differences

Name

Date

Score/ 8

  1. Question 1

    Chloe wants to estimate 301 + 362. Which is the best estimate?

    • A. 700
    • B. 800
    • C. 70
    • D. 1700
  2. Question 2

    Estimate 714 + 213 by rounding each number to the nearest hundred first.

    Answer

  3. Question 3

    Diego wants to estimate 500 + 478. Which is the best estimate?

    • A. 1100
    • B. 2000
    • C. 1000
    • D. 100
  4. Question 4

    Estimate 305 + 747 by rounding each number to the nearest hundred first.

    Answer

  5. Question 5

    Zoe wants to estimate 654 + 463. Which is the best estimate?

    • A. 1200
    • B. 1100
    • C. 120
    • D. 2200
  6. Question 6

    Estimate 353 + 213 by rounding each number to the nearest hundred first.

    Answer

  7. Question 7

    Grace wants to estimate 706 − 116. Which is the best estimate?

    • A. 600
    • B. 1600
    • C. 700
    • D. 500
  8. Question 8

    Estimate 696 + 292 by rounding each number to the nearest hundred first.

    Answer

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Answer key: Estimate sums and differences

  1. 1. A. 700

  2. 2. 900

  3. 3. C. 1000

  4. 4. 1000

  5. 5. A. 1200

  6. 6. 600

  7. 7. A. 600

  8. 8. 1000