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Math lesson plan · 2nd grade (Year 3 in England) · 30 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 · 4 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 253, what is the hundreds digit worth? → 200Prompt: Hundreds are on the left, then tens, then ones.
  2. Which number has 9 hundreds, 0 tens and 3 ones? (309 / 930 / 93 / 903) → 903Prompt: A three-digit number has a hundreds digit, a tens digit and a ones digit.
  3. Which digit is in the hundreds place of 384? → 3Prompt: From the right: ones, tens, hundreds.

Hook · 3 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 · 7 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 · 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. 921 = 900 + __ + 1 → 20Prompt: Expanded form shows what each digit is worth.
  2. Which is 604 in expanded form? (600 + 4 / 600 + 40 / 6 + 0 + 4 / 60 + 4) → 600 + 4Prompt: 604 has 0 tens.

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. 152 = __ + 50 + 2 → 100Prompt: Expanded form shows what each digit is worth.
  2. Which is 105 in expanded form? (1 + 0 + 5 / 100 + 50 / 100 + 5 / 10 + 5) → 100 + 5Prompt: 105 has 0 tens.

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/ 6

  1. Question 1

    Which is 608 in expanded form?

    • A. 60 + 8
    • B. 6 + 0 + 8
    • C. 600 + 8
    • D. 600 + 80
  2. Question 2

    Leo wrote 492 = 4 + 9 + 2. What should the first part, the hundreds, be?

    Answer

  3. Question 3

    159 = 100 + __ + 9

    Answer

  4. Question 4

    Which is 107 in expanded form?

    • A. 1 + 0 + 7
    • B. 100 + 70
    • C. 100 + 7
    • D. 10 + 7
  5. Question 5

    Noah wrote 821 = 8 + 2 + 1. What should the first part, the hundreds, be?

    Answer

  6. Question 6

    979 = __ + 70 + 9

    Answer

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Answer key: Write three-digit numbers in expanded form

  1. 1. C. 600 + 8

  2. 2. 400

  3. 3. 50

  4. 4. C. 100 + 7

  5. 5. 800

  6. 6. 900