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Math lesson plan · 4th grade (Year 5 in England) · 45 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 · 5 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: 2012 + 2109 → 4121Prompt: Line up the digits by place value, ones under ones.
  2. What is the value of the digit 3 in 430 439? → 30000Prompt: Count the places from the right: ones, tens, hundreds, thousands…
  3. Use column subtraction: 9261 − 1305 → 7956Prompt: Line up the digits. Start with the ones column.

Hook · 5 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 · 10 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 · 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. 124 934 + 222 392 = ? → 347326Prompt: Line up the place values and add from the right.
  2. 493 299 − 409 845 = ? → 83454Prompt: Line up the place values and subtract from the right.

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. 377 633 + 183 933 = ? → 561566Prompt: Line up the place values and add from the right.
  2. 679 985 − 493 851 = ? → 186134Prompt: Line up the place values and subtract from the right.

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 28 366 people. In one year 2406 people move away and 1297 move in. What is the new population?

    Answer

  2. Question 2

    198 751 + 379 752 = ?

    Answer

  3. Question 3

    661 296 − 309 587 = ?

    Answer

  4. Question 4

    A town has 85 353 people. In one year 6081 people move away and 7742 move in. What is the new population?

    Answer

  5. Question 5

    427 362 + 151 967 = ?

    Answer

  6. Question 6

    567 434 − 384 365 = ?

    Answer

  7. Question 7

    A town has 74 495 people. In one year 7244 people move away and 3314 move in. What is the new population?

    Answer

  8. Question 8

    382 074 + 74 957 = ?

    Answer

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Answer key: Add and subtract multi-digit numbers

  1. 1. 27257

  2. 2. 578503

  3. 3. 351709

  4. 4. 87014

  5. 5. 579329

  6. 6. 183069

  7. 7. 70565

  8. 8. 457031