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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 701? → 691Prompt: Which digit changes when you subtract 10?
  2. Which number rounds to 70 when rounded to the nearest 10? (69 / 64 / 75) → 69Prompt: Numbers from 65 up to 74 round to 70.
  3. What is 10 less than 728? → 718Prompt: 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 180 + 753 by rounding each number to the nearest hundred first. → 1000Prompt: Round 180 to the nearest 100.
  2. Yuki wants to estimate 251 − 132. Which is the best estimate? (200 / 20 / 300 / 1200) → 200Prompt: 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. Estimate 328 + 302 by rounding each number to the nearest hundred first. → 600Prompt: Round 328 to the nearest 100.
  2. Ethan wants to estimate 580 + 347. Which is the best estimate? (800 / 900 / 90 / 1900) → 900Prompt: Round both numbers to the nearest hundred.

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 556 + 513 by rounding each number to the nearest hundred first.

    Answer

  2. Question 2

    Nia wants to estimate 797 + 116. Which is the best estimate?

    • A. 900
    • B. 800
    • C. 1000
    • D. 1900
  3. Question 3

    Estimate 434 + 699 by rounding each number to the nearest hundred first.

    Answer

  4. Question 4

    Kai wants to estimate 655 + 201. Which is the best estimate?

    • A. 1000
    • B. 800
    • C. 900
    • D. 90
  5. Question 5

    Estimate 764 + 491 by rounding each number to the nearest hundred first.

    Answer

  6. Question 6

    Ines wants to estimate 211 + 151. Which is the best estimate?

    • A. 300
    • B. 400
    • C. 1400
    • D. 500

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Answer key: Estimate sums and differences

  1. 1. 1100

  2. 2. A. 900

  3. 3. 1100

  4. 4. C. 900

  5. 5. 1300

  6. 6. B. 400