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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 less than 357? → 257Prompt: Which digit changes when you subtract 100?
  2. Which number rounds to 20 when rounded to the nearest 10? (21 / 25 / 14) → 21Prompt: Numbers from 15 up to 24 round to 20.
  3. What is 10 more than 747? → 757Prompt: Which digit changes when you add 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 765 + 505 by rounding each number to the nearest hundred first. → 1300Prompt: Round 765 to the nearest 100.
  2. Zara wants to estimate 225 + 160. Which is the best estimate? (400 / 40 / 300 / 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. Estimate 418 + 160 by rounding each number to the nearest hundred first. → 600Prompt: Round 418 to the nearest 100.
  2. Arjun wants to estimate 350 + 308. Which is the best estimate? (800 / 1700 / 600 / 700) → 700Prompt: 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 471 + 781 by rounding each number to the nearest hundred first.

    Answer

  2. Question 2

    Hiro wants to estimate 754 − 158. Which is the best estimate?

    • A. 500
    • B. 1600
    • C. 600
    • D. 60
  3. Question 3

    Estimate 418 + 609 by rounding each number to the nearest hundred first.

    Answer

  4. Question 4

    Zoe wants to estimate 783 − 152. Which is the best estimate?

    • A. 500
    • B. 600
    • C. 1600
    • D. 700
  5. Question 5

    Estimate 392 + 645 by rounding each number to the nearest hundred first.

    Answer

  6. Question 6

    Yuki wants to estimate 374 − 172. Which is the best estimate?

    • A. 100
    • B. 200
    • C. 20
    • D. 1200

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Answer key: Estimate sums and differences

  1. 1. 1300

  2. 2. C. 600

  3. 3. 1000

  4. 4. B. 600

  5. 5. 1000

  6. 6. B. 200