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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. 406 288 + 239 010 = ? → 645298Prompt: Line up the digits from the right.
  2. 363 742 − 57 004 = ? → 306738Prompt: Start with the ones column.
  3. A music festival sold 71 182 tickets on Friday, 6099 on Saturday and 4303 on Sunday. How many tickets were sold altogether? → 81584Prompt: 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 87 020 boxes. 4309 are sent out and 1345 new boxes arrive. How many boxes are there now? → 84056Prompt: Take away the boxes sent out.
  2. Ines's class wants to walk 9000 steps each for charity. Ines walked 3010 steps on Monday and 3158 on Tuesday. How many more steps are needed? → 2832Prompt: 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. A warehouse has 46 742 boxes. 3079 are sent out and 8481 new boxes arrive. How many boxes are there now? → 52144Prompt: Take away the boxes sent out.
  2. Amara's grandmother was born in 1957. She had Amara's parent when she was 26, and Amara was born when that parent was 16. In which year was Amara born? → 1999Prompt: Find the year the parent was born.

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

    A warehouse has 71 167 boxes. 2153 are sent out and 2548 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Arjun's class wants to walk 14000 steps each for charity. Arjun walked 3340 steps on Monday and 5077 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    Leo's grandmother was born in 1957. She had Leo's parent when she was 31, and Leo was born when that parent was 20. In which year was Leo born?

    Answer

  4. Question 4

    A warehouse has 36 166 boxes. 3913 are sent out and 5185 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Chloe's class wants to walk 17000 steps each for charity. Chloe walked 6773 steps on Monday and 4055 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    Lucia's grandmother was born in 1988. She had Lucia's parent when she was 32, and Lucia was born when that parent was 10. In which year was Lucia born?

    Answer

  7. Question 7

    A warehouse has 46 573 boxes. 4210 are sent out and 7253 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Fatima's class wants to walk 8000 steps each for charity. Fatima walked 3837 steps on Monday and 2672 on Tuesday. How many more steps are needed?

    Answer

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

  1. 1. 71562

  2. 2. 5583

  3. 3. 2008

  4. 4. 37438

  5. 5. 6172

  6. 6. 2030

  7. 7. 49616

  8. 8. 1491