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

Place value to one million

Number sense

CCSS 4.NBT.A.1CCSS 4.NBT.A.2England: Y4 Number and place valueEngland: Y5 Number and place value

Objective and success criteria

Students will: Place value to one 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: Hundreds, tens and ones

Leads to: Round multi-digit numbers; Multiply and divide by 10, 100, 1000; Add and subtract multi-digit numbers

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 (Hundreds, tens and ones). 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 4 in 475? → 400Prompt: Which place is the digit in: hundreds, tens or ones?
  2. Write as a number: 300 + 5 → 305Prompt: Each part fills one place: hundreds, tens, ones.
  3. What is the value of the digit 5 in 531? → 500Prompt: Which place is the digit in: hundreds, tens or ones?

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Place value to one 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: What is the value of the digit 2 in 243 242?
  • Step 1: 2 × 1 = 2
  • Answer: 2
  • 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. What is the value of the digit 2 in 66 728? → 20Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  2. Write in digits: fifty-five thousand nine hundred seventy-four → 55974Prompt: Write the thousands part first, then the part after the word 'thousand'.

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. What is the value of the digit 8 in 83 784? → 80Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  2. Write in digits: sixteen thousand three hundred two → 16302Prompt: Write the thousands part first, then the part after the word 'thousand'.

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: Hundreds, tens and ones.
  • 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: Round multi-digit numbers; Multiply and divide by 10, 100, 1000; Add and subtract multi-digit numbers.
  • 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

eurekami

Place value to one million

Name

Date

Score/ 8

  1. Question 1

    Write as one number: 400 000 + 30 000 + 5000 + 900 + 90 + 7

    Answer

  2. Question 2

    What is the value of the digit 3 in 299 390?

    Answer

  3. Question 3

    Write in digits: forty-six thousand six hundred seventy-eight

    Answer

  4. Question 4

    Write as one number: 600 000 + 60 000 + 8000 + 400 + 40 + 2

    Answer

  5. Question 5

    What is the value of the digit 4 in 340 529?

    Answer

  6. Question 6

    Write in digits: forty-eight thousand one hundred thirty

    Answer

  7. Question 7

    Write as one number: 400 000 + 70 000 + 1000 + 100 + 40 + 1

    Answer

  8. Question 8

    What is the value of the digit 9 in 49 413?

    Answer

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Answer key: Place value to one million

  1. 1. 435997

  2. 2. 300

  3. 3. 46678

  4. 4. 668442

  5. 5. 40000

  6. 6. 48130

  7. 7. 471141

  8. 8. 9000