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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Round multi-digit numbers

Number sense

CCSS 4.NBT.A.3England: Y4 Number and place valueEngland: Y5 Number and place value

Objective and success criteria

Students will: Round multi-digit numbers.

  • 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; Place value to one million

Leads to: Rounding: greatest and least possible numbers; Estimate products by rounding; Use rounding to check if an answer is reasonable

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

Warm-up · 6 min

  • Quick retrieval from earlier learning (Round to the nearest 10 or 100; Place value to one million). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is the value of the digit 4 in 139 452? → 400Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  2. Which number rounds to 20 when rounded to the nearest 10? (25 / 15 / 31) → 15Prompt: Numbers from 15 up to 24 round to 20.
  3. What is the value of the digit 8 in 228 661? → 8000Prompt: Count the places from the right: ones, tens, hundreds, thousands…

Hook · 6 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Round multi-digit numbers. Read the success criteria together.

I do: model it · 12 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Round 691 872 to the nearest 10 000.
  • Step 1: 691 872 lies between 690 000 and 700 000.
  • Step 2: 690 000
  • Answer: 690000
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 12 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. Round 97 567 to the nearest 10 000. → 100000Prompt: Which two multiples of 10 000 is it between?
  2. A stadium recorded 284 134 visitors this season. Round this to the nearest hundred thousand. → 300000Prompt: The hundred-thousands digit is the first digit.

You do: independent practice · 17 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 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 7 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Round 6303 to the nearest 100. → 6300Prompt: Which two multiples of 100 is it between?
  2. A stadium recorded 123 019 visitors this season. Round this to the nearest hundred thousand. → 100000Prompt: The hundred-thousands digit is the first digit.

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; Estimate products by rounding; 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-4.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Round multi-digit numbers

Name

Date

Score/ 8

  1. Question 1

    A stadium recorded 724 434 visitors this season. Round this to the nearest hundred thousand.

    Answer

  2. Question 2

    Round 2836 to the nearest 100.

    Answer

  3. Question 3

    A stadium recorded 433 642 visitors this season. Round this to the nearest hundred thousand.

    Answer

  4. Question 4

    Round 28 830 to the nearest 1000.

    Answer

  5. Question 5

    A stadium recorded 568 118 visitors this season. Round this to the nearest hundred thousand.

    Answer

  6. Question 6

    Round 830 890 to the nearest 10 000.

    Answer

  7. Question 7

    A stadium recorded 135 272 visitors this season. Round this to the nearest hundred thousand.

    Answer

  8. Question 8

    Round 6825 to the nearest 1000.

    Answer

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Answer key: Round multi-digit numbers

  1. 1. 700000

  2. 2. 2800

  3. 3. 400000

  4. 4. 29000

  5. 5. 600000

  6. 6. 830000

  7. 7. 100000

  8. 8. 7000