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Math lesson plan · 5th grade (Year 6 in England) · 30 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 · 4 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 36 000 to the nearest 1000. What is the greatest whole number it could be? → 36499Prompt: Find the halfway points 35 500 and 36 500.
  2. What is the value of the digit 1 in 5 124 869? → 100000Prompt: The groups of three from the right are ones, thousands, millions.
  3. Round 317 291 to the nearest hundred. → 317300Prompt: Underline the digit in the place you are rounding to.

Hook · 3 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 · 7 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 · 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. Round 8 859 295 to the nearest ten thousand. → 8860000Prompt: Find the digit in the place you are rounding to.
  2. A film was watched 4 048 482 times online. Sam rounds this to the nearest million. What number does Sam get? → 4000000Prompt: Which two whole millions is it between?

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. A film was watched 1 843 210 times online. Sofia rounds this to the nearest million. What number does Sofia get? → 2000000Prompt: Which two whole millions is it between?
  2. Round 6 305 677 to the nearest ten thousand. → 6310000Prompt: 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

eurekami

Round whole numbers to any degree of accuracy

Name

Date

Score/ 6

  1. Question 1

    A film was watched 8 412 496 times online. Noah rounds this to the nearest million. What number does Noah get?

    Answer

  2. Question 2

    Round 1 121 868 to the nearest hundred thousand.

    Answer

  3. Question 3

    A film was watched 8 419 610 times online. Ravi rounds this to the nearest million. What number does Ravi get?

    Answer

  4. Question 4

    Round 4 988 983 to the nearest hundred thousand.

    Answer

  5. Question 5

    A film was watched 7 814 829 times online. Isla rounds this to the nearest million. What number does Isla get?

    Answer

  6. Question 6

    Round 6 725 812 to the nearest hundred thousand.

    Answer

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Answer key: Round whole numbers to any degree of accuracy

  1. 1. 8000000

  2. 2. 1100000

  3. 3. 8000000

  4. 4. 5000000

  5. 5. 8000000

  6. 6. 6700000