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Math lesson plan · 3rd grade (Year 4 in England) · 30 minutes

Rounding puzzles: which numbers round to …?

Number sense

CCSS 3.NBT.A.1England: Y3 Number and place valueEngland: Y4 Number and place value

Objective and success criteria

Students will: Rounding puzzles: which numbers round to …?.

  • 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

Leads to: Rounding: greatest and least possible numbers

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 4 min

  • Quick retrieval from earlier learning (Round to the nearest 10 or 100). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Which number rounds to 20 when rounded to the nearest 10? (25 / 31 / 21) → 21Prompt: Numbers from 15 up to 24 round to 20.
  2. Which number rounds to 70 when rounded to the nearest 10? (81 / 74 / 80) → 74Prompt: Numbers from 65 up to 74 round to 70.
  3. Which number rounds to 30 when rounded to the nearest 10? (31 / 24 / 35) → 31Prompt: Numbers from 25 up to 34 round to 30.

Hook · 3 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Rounding puzzles: which numbers round to …?. 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: What is the smallest whole number that rounds to 410 when rounded to the nearest 10?
  • Step 1: 405 is halfway and rounds up to 410.
  • Step 2: 405
  • Answer: 405
  • 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. What is the smallest whole number that rounds to 950 when rounded to the nearest 10? → 945Prompt: Halfway between two multiples of 10 rounds up.
  2. Which number rounds to 400 when rounded to the nearest hundred? (335 / 479 / 507 / 371) → 371Prompt: Numbers from 350 up to 449 round to 400.

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. What is the greatest whole number that rounds to 290 when rounded to the nearest 10? → 294Prompt: Halfway between two multiples of 10 rounds up.
  2. Which number rounds to 800 when rounded to the nearest hundred? (883 / 760 / 749 / 862) → 760Prompt: Numbers from 750 up to 849 round to 800.

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Round to the nearest 10 or 100.
  • Use concrete materials: place value chart.
  • 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: Rounding: greatest and least possible numbers.
  • 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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Rounding puzzles: which numbers round to …?

Name

Date

Score/ 6

  1. Question 1

    What is the smallest whole number that rounds to 200 when rounded to the nearest 100?

    Answer

  2. Question 2

    Which number rounds to 700 when rounded to the nearest hundred?

    • A. 811
    • B. 622
    • C. 769
    • D. 686
  3. Question 3

    What is the greatest whole number that rounds to 400 when rounded to the nearest 100?

    Answer

  4. Question 4

    Which number rounds to 600 when rounded to the nearest hundred?

    • A. 540
    • B. 708
    • C. 662
    • D. 604
  5. Question 5

    What is the greatest whole number that rounds to 940 when rounded to the nearest 10?

    Answer

  6. Question 6

    Which number rounds to 500 when rounded to the nearest hundred?

    • A. 442
    • B. 465
    • C. 555
    • D. 607

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Answer key: Rounding puzzles: which numbers round to …?

  1. 1. 150

  2. 2. D. 686

  3. 3. 449

  4. 4. D. 604

  5. 5. 944

  6. 6. B. 465