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Math lesson plan · 2nd grade (Year 3 in England) · 60 minutes

Write three-digit numbers in expanded form

Number sense

CCSS 2.NBT.A.3England: Y2 Number and place valueEngland: Y3 Number and place value

Objective and success criteria

Students will: Write three-digit numbers in expanded form.

  • 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: Value of each digit in a three-digit number

Leads to: Build a number from hundreds, tens and ones in any order; Rename numbers using hundreds, tens and ones

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 (Value of each digit in a three-digit number). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. In 981, what is the hundreds digit worth? → 900Prompt: Hundreds are on the left, then tens, then ones.
  2. Which number has 5 hundreds, 0 tens and 3 ones? (530 / 305 / 503 / 5003) → 503Prompt: A three-digit number has a hundreds digit, a tens digit and a ones digit.
  3. Which digit is in the hundreds place of 256? → 2Prompt: From the right: ones, tens, hundreds.

Hook · 6 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Write three-digit numbers in expanded form. 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: 489 = 400 + 80 + __
  • Step 1: 489 = 400 + 80 + 9
  • Step 2: 9
  • Answer: 9
  • 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. 522 = __ + 20 + 2 → 500Prompt: Expanded form shows what each digit is worth.
  2. Which is 704 in expanded form? (70 + 4 / 700 + 4 / 700 + 40 / 7 + 0 + 4) → 700 + 4Prompt: 704 has 0 tens.

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. Zoe wrote 190 = 1 + 9 + 0. What should the first part, the hundreds, be? → 100Prompt: Does 1 + 9 + 0 really add up to 190?
  2. 328 = 300 + __ + 8 → 20Prompt: Expanded form shows what each digit is worth.

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: Value of each digit in a three-digit number.
  • 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: Build a number from hundreds, tens and ones in any order; Rename numbers using hundreds, tens and ones.
  • 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-2.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Write three-digit numbers in expanded form

Name

Date

Score/ 8

  1. Question 1

    361 = 300 + 60 + __

    Answer

  2. Question 2

    Which is 206 in expanded form?

    • A. 200 + 60
    • B. 2 + 0 + 6
    • C. 200 + 6
    • D. 20 + 6
  3. Question 3

    Chloe wrote 441 = 4 + 4 + 1. What should the first part, the hundreds, be?

    Answer

  4. Question 4

    789 = 700 + __ + 9

    Answer

  5. Question 5

    Which is 305 in expanded form?

    • A. 30 + 5
    • B. 3 + 0 + 5
    • C. 300 + 5
    • D. 300 + 50
  6. Question 6

    Grace wrote 173 = 1 + 7 + 3. What should the first part, the hundreds, be?

    Answer

  7. Question 7

    814 = __ + 10 + 4

    Answer

  8. Question 8

    Which is 907 in expanded form?

    • A. 9 + 0 + 7
    • B. 900 + 7
    • C. 90 + 7
    • D. 900 + 70

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Answer key: Write three-digit numbers in expanded form

  1. 1. 1

  2. 2. C. 200 + 6

  3. 3. 400

  4. 4. 80

  5. 5. C. 300 + 5

  6. 6. 100

  7. 7. 800

  8. 8. B. 900 + 7