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Math lesson plan · 3rd grade (Year 4 in England) · 45 minutes

Subtract three-digit numbers with exchanging

Addition and subtraction

CCSS 3.NBT.A.2England: Y3 Addition and subtraction

Objective and success criteria

Students will: Subtract three-digit numbers with exchanging.

  • 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: Add and subtract within 1000; Subtract two-digit numbers with regrouping

Leads to: Subtract four-digit numbers in columns; Find missing digits in column sums; Check answers with the inverse operation

Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Add and subtract within 1000; Subtract two-digit numbers with regrouping). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. What is 10 more than 260? → 270Prompt: Which digit changes when you add 10?
  2. What is 100 more than 132? → 232Prompt: Which digit changes when you add 100?
  3. What is 100 more than 888? → 988Prompt: Which digit changes when you add 100?

Hook · 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Subtract three-digit numbers with exchanging. 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: 313 − 175 = ?
  • Step 1: ones: exchange, 13 − 5 = 8
  • Step 2: tens: exchange, 10 − 7 = 3
  • Step 3: hundreds: 2 − 1 = 1
  • Step 4: 313 − 175 = 138
  • Answer: 138
  • 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. 517 − 270 = ? → 247Prompt: Start with the ones.
  2. 502 − 324 = ? → 178Prompt: There is a 0 in the tens. Exchange from the hundreds first.

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. 903 − 154 = ? → 749Prompt: There is a 0 in the tens. Exchange from the hundreds first.
  2. 546 − 352 = ? → 194Prompt: Start with the ones.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 − 17 = 45).
  • Forgetting to add the regrouped (carried) ten.

Support and stretch

Support

  • Review first: Add and subtract within 1000.
  • Use concrete materials: base-ten blocks.
  • 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: Subtract four-digit numbers in columns; Find missing digits in column sums; Check answers with the inverse operation.
  • 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-3.

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

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Subtract three-digit numbers with exchanging

Name

Date

Score/ 8

  1. Question 1

    A book has 846 pages. Luis has read 331 pages. How many pages are left?

    Answer

  2. Question 2

    902 − 143 = ?

    Answer

  3. Question 3

    838 − 365 = ?

    Answer

  4. Question 4

    A book has 916 pages. Hiro has read 354 pages. How many pages are left?

    Answer

  5. Question 5

    704 − 375 = ?

    Answer

  6. Question 6

    615 − 271 = ?

    Answer

  7. Question 7

    A book has 497 pages. Lucia has read 132 pages. How many pages are left?

    Answer

  8. Question 8

    305 − 146 = ?

    Answer

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Answer key: Subtract three-digit numbers with exchanging

  1. 1. 515

  2. 2. 759

  3. 3. 473

  4. 4. 562

  5. 5. 329

  6. 6. 344

  7. 7. 365

  8. 8. 159