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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. 7297 βˆ’ 4580 = ? β†’ 2717Prompt: Work from the ones to the thousands.
  2. In 508β€―623, which place is the digit 2 in? (tens / hundred thousands / ten thousands / ones) β†’ tensPrompt: The places in a group of three are hundreds, tens, ones β€” for thousands too.
  3. 7005 βˆ’ 5815 = ? β†’ 1190Prompt: 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. 862β€―451 βˆ’ 389β€―763 = ? β†’ 472688Prompt: Start with the ones column.
  2. 300β€―000 βˆ’ 130β€―847 = ? β†’ 169153Prompt: 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. 402β€―216 βˆ’ 100β€―279 = ? β†’ 301937Prompt: Start with the ones column.
  2. 100β€―000 βˆ’ 10β€―098 = ? β†’ 89902Prompt: 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

    200β€―000 βˆ’ 187β€―125 = ?

    Answer

  2. Question 2

    667β€―323 βˆ’ 640β€―613 = ?

    Answer

  3. Question 3

    60β€―000 βˆ’ 57β€―971 = ?

    Answer

  4. Question 4

    790β€―499 βˆ’ 47β€―161 = ?

    Answer

  5. Question 5

    300β€―000 βˆ’ 255β€―672 = ?

    Answer

  6. Question 6

    105β€―053 βˆ’ 81β€―822 = ?

    Answer

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Answer key: Subtract numbers with more than four digits

  1. 1. 12875

  2. 2. 26710

  3. 3. 2029

  4. 4. 743338

  5. 5. 44328

  6. 6. 23231