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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Compare and order numbers up to 1 000 000

Number sense

CCSS 4.NBT.A.2England: Y5 Number and place value

Objective and success criteria

Students will: Compare and order numbers up to 1 000 000.

  • 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: Order four-digit numbers; Place value names up to hundred thousands

Leads to: Compare and order numbers to ten million

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 (Order four-digit numbers; Place value names up to hundred thousands). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. In 819 034, which place is the digit 8 in? (hundred thousands / thousands / hundreds / tens) → hundred thousandsPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.
  2. In 283 957, which place is the digit 8 in? (ten thousands / tens / hundred thousands / thousands) → ten thousandsPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.
  3. In 375 842, which place is the digit 2 in? (ones / tens / hundreds / hundred thousands) → onesPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Compare and order numbers up to 1 000 000. 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: Choose the sign: 554 713 __ 624 713
  • Step 1: 554 713 < 624 713
  • Answer: <
  • 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. Choose the sign: 455 627 __ 455 619 (< / > / =) → >Prompt: Does one number have more digits?
  2. Populations: Northbridge 992 507, Eastvale 589 959, Westford 285 967. Which town has the most people? (Northbridge / Eastvale / Westford) → NorthbridgePrompt: Compare the number of digits first.

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. Choose the sign: 891 979 __ 881 979 (< / > / =) → >Prompt: Does one number have more digits?
  2. Populations: Northbridge 594 156, Eastvale 707 322, Westford 681 911. Which town has the most people? (Northbridge / Eastvale / Westford) → EastvalePrompt: Compare the number of digits first.

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: Order four-digit 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

  • Move on to: Compare and order numbers to ten million.
  • 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

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Compare and order numbers up to 1 000 000

Name

Date

Score/ 8

  1. Question 1

    Choose the sign: 226 873 __ 306 873

    • A. <
    • B. >
    • C. =
  2. Question 2

    Populations: Northbridge 636 475, Eastvale 79 723, Westford 768 267. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  3. Question 3

    Choose the sign: 905 521 __ 815 521

    • A. <
    • B. >
    • C. =
  4. Question 4

    Populations: Northbridge 430 794, Eastvale 736 839, Westford 590 347. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  5. Question 5

    Choose the sign: 761 953 __ 762 853

    • A. <
    • B. >
    • C. =
  6. Question 6

    Populations: Northbridge 671 994, Eastvale 90 591, Westford 461 590. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  7. Question 7

    Choose the sign: 712 577 __ 762 577

    • A. <
    • B. >
    • C. =
  8. Question 8

    Populations: Northbridge 597 629, Eastvale 589 053, Westford 663 913. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford

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Answer key: Compare and order numbers up to 1 000 000

  1. 1. A. <

  2. 2. C. Westford

  3. 3. B. >

  4. 4. B. Eastvale

  5. 5. A. <

  6. 6. A. Northbridge

  7. 7. A. <

  8. 8. C. Westford