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Math lesson plan · 5th grade (Year 6 in England) · 45 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 · 5 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 540 000 to the nearest 10 000. What is the greatest whole number it could be? → 544999Prompt: Find the halfway points 535 000 and 545 000.
  2. What is the value of the digit 6 in 5 961 473? → 60000Prompt: The groups of three from the right are ones, thousands, millions.
  3. Round 298 005 to the nearest ten thousand. → 300000Prompt: Underline the digit in the place you are rounding to.

Hook · 5 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 · 10 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 · 10 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 8 995 156 to the nearest hundred thousand. → 9000000Prompt: Find the digit in the place you are rounding to.
  2. A film was watched 4 997 343 times online. Isla rounds this to the nearest million. What number does Isla get? → 5000000Prompt: Which two whole millions is it between?

You do: independent practice · 10 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 · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Round 3 751 532 to the nearest thousand. → 3752000Prompt: Find the digit in the place you are rounding to.
  2. A film was watched 8 102 145 times online. Felix rounds this to the nearest million. What number does Felix get? → 8000000Prompt: Which two whole millions is it between?

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

eurekami

Round whole numbers to any degree of accuracy

Name

Date

Score/ 8

  1. Question 1

    Round 8 901 126 to the nearest hundred thousand.

    Answer

  2. Question 2

    A film was watched 2 746 651 times online. Mei rounds this to the nearest million. What number does Mei get?

    Answer

  3. Question 3

    Round 7 071 227 to the nearest ten thousand.

    Answer

  4. Question 4

    A film was watched 3 445 806 times online. Nia rounds this to the nearest million. What number does Nia get?

    Answer

  5. Question 5

    Round 3 257 621 to the nearest ten thousand.

    Answer

  6. Question 6

    A film was watched 9 475 209 times online. Fatima rounds this to the nearest million. What number does Fatima get?

    Answer

  7. Question 7

    Round 1 066 837 to the nearest hundred thousand.

    Answer

  8. Question 8

    A film was watched 2 412 551 times online. Fatima rounds this to the nearest million. What number does Fatima get?

    Answer

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Answer key: Round whole numbers to any degree of accuracy

  1. 1. 8900000

  2. 2. 3000000

  3. 3. 7070000

  4. 4. 3000000

  5. 5. 3260000

  6. 6. 9000000

  7. 7. 1100000

  8. 8. 2000000