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Math lesson plan · 4th grade (Year 5 in England) · 30 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 · 4 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 3 in 323? → 3Prompt: Which place is the digit in: hundreds, tens or ones?
  2. Write as a number: 400 + 70 + 7 → 477Prompt: Each part fills one place: hundreds, tens, ones.
  3. What is the value of the digit 2 in 823? → 20Prompt: Which place is the digit in: hundreds, tens or ones?

Hook · 3 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 · 7 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 · 6 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 6 in 546 956? → 6Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  2. Write in digits: seventy-eight thousand four hundred four → 78404Prompt: Write the thousands part first, then the part after the word 'thousand'.

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Write in digits: thirty-five thousand five hundred seventy-eight → 35578Prompt: Write the thousands part first, then the part after the word 'thousand'.
  2. What is the value of the digit 6 in 366 218? → 60000Prompt: Count the places from the right: ones, tens, hundreds, thousands…

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/ 6

  1. Question 1

    What is the value of the digit 9 in 839 931?

    Answer

  2. Question 2

    Write in digits: forty thousand eight hundred twenty-two

    Answer

  3. Question 3

    Write as one number: 400 000 + 50 000 + 2000 + 600 + 8

    Answer

  4. Question 4

    What is the value of the digit 1 in 111 106?

    Answer

  5. Question 5

    Write in digits: seventy-seven thousand seven hundred thirty-two

    Answer

  6. Question 6

    Write as one number: 800 000 + 90 000 + 6000 + 400 + 20 + 5

    Answer

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Answer key: Place value to one million

  1. 1. 9000

  2. 2. 40822

  3. 3. 452608

  4. 4. 100000

  5. 5. 77732

  6. 6. 896425