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Math lesson plan · 5th grade (Year 6 in England) · 45 minutes

Compare and order numbers to ten million

Number sense

CCSS 5.NBT.A.1England: Y6 Number and place value

Objective and success criteria

Students will: Compare and order numbers to ten million.

  • 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: Place value to ten million; Compare and order numbers up to 1 000 000

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 (Place value to ten million; Compare and order numbers up to 1 000 000). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is the value of the digit 7 in 3 941 750? → 700Prompt: The groups of three from the right are ones, thousands, millions.
  2. Choose the sign: 33 490 __ 33 495 (< / > / =) → <Prompt: Does one number have more digits?
  3. Write in digits: two million five hundred seventy-eight thousand five hundred seventy-two → 2578572Prompt: A million has seven digits: 1 000 000.

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 to ten million. 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: 3 743 606 __ 100 000
  • Step 1: 3 743 606 > 100 000
  • 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: 6 887 444 __ 6 887 544 (< / > / =) → <Prompt: Count the digits in each number.
  2. Choose the sign: 5 722 763 __ 100 000 (< / > / =) → >Prompt: Count the digits in each number.

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: 7 831 878 __ 7 631 878 (< / > / =) → >Prompt: Count the digits in each number.
  2. Choose the sign: 8 468 172 __ 8 468 572 (< / > / =) → <Prompt: Count the digits in each number.

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: Place value to ten million.
  • 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

Compare and order numbers to ten million

Name

Date

Score/ 8

  1. Question 1

    Choose the sign: 2 381 135 __ 2 378 135

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

    Choose the sign: 9 761 355 __ 8 761 355

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

    Choose the sign: 9 583 447 __ 9 583 387

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

    Choose the sign: 5 026 292 __ 5 026 492

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

    Choose the sign: 8 737 242 __ 8 737 212

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

    Choose the sign: 4 562 106 __ 4 561 706

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

    Choose the sign: 8 038 752 __ 8 040 752

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

    Choose the sign: 4 803 218 __ 4 783 218

    • A. <
    • B. >
    • C. =

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Answer key: Compare and order numbers to ten million

  1. 1. B. >

  2. 2. B. >

  3. 3. B. >

  4. 4. A. <

  5. 5. B. >

  6. 6. B. >

  7. 7. A. <

  8. 8. B. >