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Math lesson plan · 3rd grade (Year 4 in England) · 30 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 · 4 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 356? → 456Prompt: Which digit changes when you add 100?
  2. Which number rounds to 50 when rounded to the nearest 10? (61 / 60 / 51) → 51Prompt: Numbers from 45 up to 54 round to 50.
  3. What is 100 less than 666? → 566Prompt: Which digit changes when you subtract 100?

Hook · 3 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 · 7 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 · 6 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 351 + 676 by rounding each number to the nearest hundred first. → 1100Prompt: Round 351 to the nearest 100.
  2. Sam wants to estimate 412 + 430. Which is the best estimate? (700 / 80 / 800 / 1800) → 800Prompt: Round both numbers to the nearest hundred.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Diego wants to estimate 698 + 462. Which is the best estimate? (120 / 1200 / 1100 / 2200) → 1200Prompt: Round both numbers to the nearest hundred.
  2. Estimate 444 + 357 by rounding each number to the nearest hundred first. → 800Prompt: Round 444 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/ 6

  1. Question 1

    Estimate 766 + 436 by rounding each number to the nearest hundred first.

    Answer

  2. Question 2

    Ben wants to estimate 346 − 164. Which is the best estimate?

    • A. 100
    • B. 300
    • C. 1100
    • D. 10
  3. Question 3

    Estimate 129 + 649 by rounding each number to the nearest hundred first.

    Answer

  4. Question 4

    Zara wants to estimate 435 − 204. Which is the best estimate?

    • A. 200
    • B. 1200
    • C. 300
    • D. 20
  5. Question 5

    Estimate 140 + 337 by rounding each number to the nearest hundred first.

    Answer

  6. Question 6

    Kai wants to estimate 718 + 215. Which is the best estimate?

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

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Answer key: Estimate sums and differences

  1. 1. 1200

  2. 2. A. 100

  3. 3. 700

  4. 4. A. 200

  5. 5. 400

  6. 6. B. 900