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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 10 less than 190? → 180Prompt: Which digit changes when you subtract 10?
  2. Which number rounds to 40 when rounded to the nearest 10? (45 / 51 / 41) → 41Prompt: Numbers from 35 up to 44 round to 40.
  3. What is 10 less than 451? → 441Prompt: Which digit changes when you subtract 10?

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 565 + 711 by rounding each number to the nearest hundred first. → 1300Prompt: Round 565 to the nearest 100.
  2. Noah wants to estimate 621 − 168. Which is the best estimate? (40 / 1400 / 400 / 500) → 400Prompt: 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. Amara wants to estimate 662 + 123. Which is the best estimate? (1800 / 800 / 700 / 80) → 800Prompt: Round both numbers to the nearest hundred.
  2. Estimate 326 + 703 by rounding each number to the nearest hundred first. → 1000Prompt: Round 326 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

    Jamal wants to estimate 412 + 121. Which is the best estimate?

    • A. 600
    • B. 500
    • C. 50
    • D. 1500
  2. Question 2

    Estimate 410 + 614 by rounding each number to the nearest hundred first.

    Answer

  3. Question 3

    Amara wants to estimate 738 − 380. Which is the best estimate?

    • A. 30
    • B. 400
    • C. 1300
    • D. 300
  4. Question 4

    Estimate 681 + 469 by rounding each number to the nearest hundred first.

    Answer

  5. Question 5

    Mei wants to estimate 761 + 470. Which is the best estimate?

    • A. 1300
    • B. 2300
    • C. 1400
    • D. 130
  6. Question 6

    Estimate 117 + 587 by rounding each number to the nearest hundred first.

    Answer

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Answer key: Estimate sums and differences

  1. 1. B. 500

  2. 2. 1000

  3. 3. D. 300

  4. 4. 1200

  5. 5. A. 1300

  6. 6. 700