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Math lesson plan · 5th grade (Year 6 in England) · 60 minutes

Round whole numbers to any degree of accuracy

Number sense

CCSS 4.NBT.A.3England: Y6 Number and place value

Objective and success criteria

Students will: Round whole numbers to any degree of accuracy.

  • 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: Rounding: greatest and least possible numbers; Place value to ten million

Leads to: the next skill in this area.

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 (Rounding: greatest and least possible numbers; Place value to ten million). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. A number rounds to 50 000 to the nearest 10 000. What is the smallest whole number it could be? → 45000Prompt: Find the halfway points 45 000 and 55 000.
  2. What is the value of the digit 8 in 3 278 190? → 8000Prompt: The groups of three from the right are ones, thousands, millions.
  3. Round 768 500 to the nearest hundred. → 768500Prompt: Underline the digit in the place you are rounding to.

Hook · 6 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Round whole numbers to any degree of accuracy. 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 9 313 527 to the nearest ten thousand.
  • Step 1: 9 310 000
  • Answer: 9310000
  • 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 7 489 580 to the nearest million. → 7000000Prompt: Find the digit in the place you are rounding to.
  2. A film was watched 1 776 316 times online. Grace rounds this to the nearest million. What number does Grace get? → 2000000Prompt: Which two whole millions is it between?

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. A film was watched 6 893 776 times online. Amara rounds this to the nearest million. What number does Amara get? → 7000000Prompt: Which two whole millions is it between?
  2. Round 6 069 173 to the nearest million. → 6000000Prompt: Find the digit in the place you are rounding to.

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: Rounding: greatest and least possible numbers.
  • 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

  • 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-5.

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

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Round whole numbers to any degree of accuracy

Name

Date

Score/ 8

  1. Question 1

    Round 1 171 608 to the nearest million.

    Answer

  2. Question 2

    A film was watched 4 400 466 times online. Yuki rounds this to the nearest million. What number does Yuki get?

    Answer

  3. Question 3

    Round 1 896 580 to the nearest million.

    Answer

  4. Question 4

    A film was watched 1 966 735 times online. Yuki rounds this to the nearest million. What number does Yuki get?

    Answer

  5. Question 5

    Round 8 884 012 to the nearest hundred thousand.

    Answer

  6. Question 6

    A film was watched 4 810 242 times online. Fatima rounds this to the nearest million. What number does Fatima get?

    Answer

  7. Question 7

    Round 2 466 809 to the nearest thousand.

    Answer

  8. Question 8

    A film was watched 6 721 628 times online. Ethan rounds this to the nearest million. What number does Ethan get?

    Answer

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Answer key: Round whole numbers to any degree of accuracy

  1. 1. 1000000

  2. 2. 4000000

  3. 3. 2000000

  4. 4. 2000000

  5. 5. 8900000

  6. 6. 5000000

  7. 7. 2467000

  8. 8. 7000000