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Math lesson plan Β· 4th grade (Year 5 in England) Β· 30 minutes

Subtract numbers with more than four digits

Addition and subtraction

CCSS 4.NBT.B.4England: Y5 Addition and subtraction

Objective and success criteria

Students will: Subtract numbers with more than four digits.

  • 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: Subtract four-digit numbers in columns; Place value names up to hundred thousands

Leads to: Multi-step addition and subtraction problems with large numbers

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

Warm-up Β· 4 min

  • Quick retrieval from earlier learning (Subtract four-digit numbers in columns; Place value names up to hundred thousands). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 9728 βˆ’ 4765 = ? β†’ 4963Prompt: Work from the ones to the thousands.
  2. In 406β€―172, which place is the digit 4 in? (hundred thousands / thousands / ten thousands / ones) β†’ hundred thousandsPrompt: The places in a group of three are hundreds, tens, ones β€” for thousands too.
  3. 4005 βˆ’ 3236 = ? β†’ 769Prompt: The zeros mean you exchange across several columns.

Hook Β· 3 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Subtract numbers with more than four digits. Read the success criteria together.

I do: model it Β· 7 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: 872β€―157 βˆ’ 488β€―992 = ?
  • Step 1: ones: 7 βˆ’ 2 = 5
  • Step 2: tens: exchange, 15 βˆ’ 9 = 6
  • Step 3: hundreds: exchange, 10 βˆ’ 9 = 1
  • Step 4: thousands: exchange, 11 βˆ’ 8 = 3
  • Step 5: ten thousands: exchange, 16 βˆ’ 8 = 8
  • Step 6: hundred thousands: 7 βˆ’ 4 = 3
  • Step 7: 872β€―157 βˆ’ 488β€―992 = 383β€―165
  • Answer: 383165
  • Pause after each step and ask a student to say what comes next.

We do: guided practice Β· 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. 784β€―402 βˆ’ 192β€―840 = ? β†’ 591562Prompt: Start with the ones column.
  2. 60β€―000 βˆ’ 1414 = ? β†’ 58586Prompt: All those zeros need exchanging. Try counting on instead.

You do: independent practice Β· 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 Β· 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. 89β€―192 βˆ’ 39β€―285 = ? β†’ 49907Prompt: Start with the ones column.
  2. 60β€―000 βˆ’ 47β€―336 = ? β†’ 12664Prompt: All those zeros need exchanging. Try counting on instead.

Watch out for

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

Support and stretch

Support

  • Review first: Subtract four-digit numbers in columns.
  • 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: Multi-step addition and subtraction problems with large 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

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Subtract numbers with more than four digits

Name

Date

Score/ 6

  1. Question 1

    211β€―745 βˆ’ 34β€―609 = ?

    Answer

  2. Question 2

    50β€―000 βˆ’ 28β€―560 = ?

    Answer

  3. Question 3

    814β€―285 βˆ’ 676β€―417 = ?

    Answer

  4. Question 4

    60β€―000 βˆ’ 33β€―718 = ?

    Answer

  5. Question 5

    97β€―112 βˆ’ 58β€―345 = ?

    Answer

  6. Question 6

    500β€―000 βˆ’ 295β€―582 = ?

    Answer

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Answer key: Subtract numbers with more than four digits

  1. 1. 177136

  2. 2. 21440

  3. 3. 137868

  4. 4. 26282

  5. 5. 38767

  6. 6. 204418