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Math lesson plan · 4th grade (Year 5 in England) · 60 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 · 6 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 217 458, which place is the digit 4 in? (hundred thousands / ones / hundreds / ten thousands) → hundredsPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.
  2. In 170 429, which place is the digit 1 in? (hundred thousands / tens / ten thousands / hundreds) → hundred thousandsPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.
  3. In 534 972, which place is the digit 2 in? (ones / hundreds / hundred thousands / ten thousands) → onesPrompt: The places in a group of three are hundreds, tens, ones — for thousands too.

Hook · 6 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 · 12 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 · 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. Choose the sign: 525 602 __ 525 605 (< / > / =) → <Prompt: Does one number have more digits?
  2. Populations: Northbridge 279 496, Eastvale 348 547, Westford 298 037. Which town has the most people? (Northbridge / Eastvale / Westford) → EastvalePrompt: Compare the number of digits first.

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. Choose the sign: 357 880 __ 349 880 (< / > / =) → >Prompt: Does one number have more digits?
  2. Populations: Northbridge 623 795, Eastvale 244 533, Westford 837 744. Which town has the most people? (Northbridge / Eastvale / Westford) → WestfordPrompt: 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

    Populations: Northbridge 747 218, Eastvale 271 356, Westford 358 072. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  2. Question 2

    Choose the sign: 43 189 __ 43 589

    • A. <
    • B. >
    • C. =
  3. Question 3

    Populations: Northbridge 784 150, Eastvale 600 845, Westford 270 707. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  4. Question 4

    Choose the sign: 969 787 __ 969 794

    • A. <
    • B. >
    • C. =
  5. Question 5

    Populations: Northbridge 280 687, Eastvale 993 399, Westford 830 550. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  6. Question 6

    Choose the sign: 50 646 __ 110 646

    • A. <
    • B. >
    • C. =
  7. Question 7

    Populations: Northbridge 261 629, Eastvale 711 450, Westford 705 514. Which town has the most people?

    • A. Northbridge
    • B. Eastvale
    • C. Westford
  8. Question 8

    Choose the sign: 427 460 __ 357 460

    • A. <
    • B. >
    • C. =

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

  1. 1. A. Northbridge

  2. 2. A. <

  3. 3. A. Northbridge

  4. 4. A. <

  5. 5. B. Eastvale

  6. 6. A. <

  7. 7. B. Eastvale

  8. 8. B. >