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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Multi-step addition and subtraction problems with large numbers

Addition and subtraction

CCSS 4.OA.A.3England: Y5 Addition and subtraction

Objective and success criteria

Students will: Multi-step addition and subtraction problems with large 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: Add numbers with more than four digits; Subtract numbers with more than four digits

Leads to: Add and subtract with numbers into the millions

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 numbers with more than four digits; Subtract numbers with more than four digits). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. 322 802 + 161 420 = ? → 484222Prompt: Line up the digits from the right.
  2. 160 288 − 62 525 = ? → 97763Prompt: Start with the ones column.
  3. A music festival sold 68 628 tickets on Friday, 7969 on Saturday and 2908 on Sunday. How many tickets were sold altogether? → 79505Prompt: Add the first two numbers, then add the third.

Hook · 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Multi-step addition and subtraction problems with large 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: A warehouse has 75 913 boxes. 7549 are sent out and 4766 new boxes arrive. How many boxes are there now?
  • Step 1: 75 913 − 7549 = 68 364
  • Step 2: 68 364 + 4766 = 73 130
  • Answer: 73130
  • 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. A warehouse has 54 912 boxes. 7207 are sent out and 8890 new boxes arrive. How many boxes are there now? → 56595Prompt: Take away the boxes sent out.
  2. Felix's class wants to walk 15000 steps each for charity. Felix walked 7215 steps on Monday and 3132 on Tuesday. How many more steps are needed? → 4653Prompt: How many steps so far?

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. Lucia's class wants to walk 9000 steps each for charity. Lucia walked 1058 steps on Monday and 1487 on Tuesday. How many more steps are needed? → 6455Prompt: How many steps so far?
  2. A warehouse has 75 969 boxes. 3337 are sent out and 3256 new boxes arrive. How many boxes are there now? → 75888Prompt: Take away the boxes sent out.

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 numbers with more than four digits.
  • 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: Add and subtract with numbers into the millions.
  • 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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Multi-step addition and subtraction problems with large numbers

Name

Date

Score/ 8

  1. Question 1

    Kai's class wants to walk 8000 steps each for charity. Kai walked 3474 steps on Monday and 1693 on Tuesday. How many more steps are needed?

    Answer

  2. Question 2

    A warehouse has 24 405 boxes. 8483 are sent out and 7026 new boxes arrive. How many boxes are there now?

    Answer

  3. Question 3

    Ben's grandmother was born in 1957. She had Ben's parent when she was 21, and Ben was born when that parent was 10. In which year was Ben born?

    Answer

  4. Question 4

    Zara's class wants to walk 12000 steps each for charity. Zara walked 1423 steps on Monday and 2418 on Tuesday. How many more steps are needed?

    Answer

  5. Question 5

    A warehouse has 37 498 boxes. 5268 are sent out and 6137 new boxes arrive. How many boxes are there now?

    Answer

  6. Question 6

    Kai's grandmother was born in 1979. She had Kai's parent when she was 24, and Kai was born when that parent was 12. In which year was Kai born?

    Answer

  7. Question 7

    Leo's class wants to walk 12000 steps each for charity. Leo walked 5293 steps on Monday and 5430 on Tuesday. How many more steps are needed?

    Answer

  8. Question 8

    A warehouse has 61 458 boxes. 5164 are sent out and 1744 new boxes arrive. How many boxes are there now?

    Answer

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Answer key: Multi-step addition and subtraction problems with large numbers

  1. 1. 2833

  2. 2. 22948

  3. 3. 1988

  4. 4. 8159

  5. 5. 38367

  6. 6. 2015

  7. 7. 1277

  8. 8. 58038