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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 38 000 to the nearest 1000. What is the smallest whole number it could be? → 37500Prompt: Find the halfway points 37 500 and 38 500.
  2. What is the value of the digit 8 in 7 031 928? → 8Prompt: The groups of three from the right are ones, thousands, millions.
  3. Round 343 583 to the nearest hundred. → 343600Prompt: 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 6 569 428 to the nearest hundred thousand. → 6600000Prompt: Find the digit in the place you are rounding to.
  2. A film was watched 3 230 382 times online. Ana rounds this to the nearest million. What number does Ana get? → 3000000Prompt: 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. A film was watched 1 875 822 times online. Maya rounds this to the nearest million. What number does Maya get? → 2000000Prompt: Which two whole millions is it between?
  2. Round 4 954 614 to the nearest thousand. → 4955000Prompt: 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/ 8

  1. Question 1

    Round 1 928 721 to the nearest million.

    Answer

  2. Question 2

    A film was watched 8 941 911 times online. Liam rounds this to the nearest million. What number does Liam get?

    Answer

  3. Question 3

    Round 5 723 862 to the nearest thousand.

    Answer

  4. Question 4

    A film was watched 2 291 647 times online. Ava rounds this to the nearest million. What number does Ava get?

    Answer

  5. Question 5

    Round 2 787 844 to the nearest hundred thousand.

    Answer

  6. Question 6

    A film was watched 5 143 802 times online. Grace rounds this to the nearest million. What number does Grace get?

    Answer

  7. Question 7

    Round 9 174 831 to the nearest ten thousand.

    Answer

  8. Question 8

    A film was watched 1 318 988 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. 2000000

  2. 2. 9000000

  3. 3. 5724000

  4. 4. 2000000

  5. 5. 2800000

  6. 6. 5000000

  7. 7. 9170000

  8. 8. 1000000