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Math lesson plan · 4th grade (Year 5 in England) · 60 minutes

Add and subtract multi-digit numbers

Addition and subtraction

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

Objective and success criteria

Students will: Add and subtract multi-digit numbers.

  • 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: Column addition and subtraction; Place value to one million

Leads to: Multi-step word problems with whole numbers; Solve equations with a letter for the unknown

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

Warm-up · 6 min

  • Quick retrieval from earlier learning (Column addition and subtraction; Place value to one million). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Use column addition: 4747 + 2317 → 7064Prompt: Line up the digits by place value, ones under ones.
  2. What is the value of the digit 2 in 261 251? → 200000Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  3. Use column subtraction: 5489 − 241 → 5248Prompt: Line up the digits. Start with the ones column.

Hook · 6 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Add and subtract multi-digit numbers. 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: 51 533 + 425 137 = ?
  • Step 1: 51 533 + 425 137 = 476 670
  • Answer: 476670
  • 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. 81 999 + 377 786 = ? → 459785Prompt: Line up the place values and add from the right.
  2. 535 788 − 145 801 = ? → 389987Prompt: Line up the place values and subtract from the right.

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. 498 353 + 233 526 = ? → 731879Prompt: Line up the place values and add from the right.
  2. A town has 28 888 people. In one year 7251 people move away and 7160 move in. What is the new population? → 28797Prompt: Two steps: subtract the people who left, then add those who arrived.

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: Column addition and subtraction.
  • 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 word problems with whole numbers; Solve equations with a letter for the unknown.
  • 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

eurekami

Add and subtract multi-digit numbers

Name

Date

Score/ 8

  1. Question 1

    A town has 78 055 people. In one year 8072 people move away and 6703 move in. What is the new population?

    Answer

  2. Question 2

    169 540 − 72 074 = ?

    Answer

  3. Question 3

    69 278 + 286 468 = ?

    Answer

  4. Question 4

    A town has 72 031 people. In one year 6330 people move away and 4261 move in. What is the new population?

    Answer

  5. Question 5

    904 254 − 284 151 = ?

    Answer

  6. Question 6

    48 599 + 84 088 = ?

    Answer

  7. Question 7

    A town has 42 870 people. In one year 4816 people move away and 4746 move in. What is the new population?

    Answer

  8. Question 8

    997 913 − 982 773 = ?

    Answer

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Answer key: Add and subtract multi-digit numbers

  1. 1. 76686

  2. 2. 97466

  3. 3. 355746

  4. 4. 69962

  5. 5. 620103

  6. 6. 132687

  7. 7. 42800

  8. 8. 15140