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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. 208 752 + 10 431 = ? → 219183Prompt: Line up the digits from the right.
  2. 859 508 − 592 226 = ? → 267282Prompt: Start with the ones column.
  3. A music festival sold 72 889 tickets on Friday, 35 538 on Saturday and 6801 on Sunday. How many tickets were sold altogether? → 115228Prompt: 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 25 604 boxes. 5460 are sent out and 4430 new boxes arrive. How many boxes are there now? → 24574Prompt: Take away the boxes sent out.
  2. Arjun's class wants to walk 18000 steps each for charity. Arjun walked 6918 steps on Monday and 8376 on Tuesday. How many more steps are needed? → 2706Prompt: 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. Daniel's grandmother was born in 1985. She had Daniel's parent when she was 33, and Daniel was born when that parent was 17. In which year was Daniel born? → 2035Prompt: Find the year the parent was born.
  2. Chloe's class wants to walk 10000 steps each for charity. Chloe walked 3845 steps on Monday and 4408 on Tuesday. How many more steps are needed? → 1747Prompt: How many steps so far?

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

    Mateo's class wants to walk 8000 steps each for charity. Mateo walked 1210 steps on Monday and 1033 on Tuesday. How many more steps are needed?

    Answer

  2. Question 2

    Arjun's grandmother was born in 1975. She had Arjun's parent when she was 20, and Arjun was born when that parent was 24. In which year was Arjun born?

    Answer

  3. Question 3

    A warehouse has 72 642 boxes. 8125 are sent out and 6852 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Kwame's class wants to walk 14000 steps each for charity. Kwame walked 4535 steps on Monday and 5264 on Tuesday. How many more steps are needed?

    Answer

  5. Question 5

    Mateo's grandmother was born in 1964. She had Mateo's parent when she was 25, and Mateo was born when that parent was 25. In which year was Mateo born?

    Answer

  6. Question 6

    A warehouse has 58 187 boxes. 5921 are sent out and 7969 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Omar's class wants to walk 11000 steps each for charity. Omar walked 1460 steps on Monday and 3087 on Tuesday. How many more steps are needed?

    Answer

  8. Question 8

    Omar's grandmother was born in 1990. She had Omar's parent when she was 33, and Omar was born when that parent was 13. In which year was Omar born?

    Answer

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

  1. 1. 5757

  2. 2. 2019

  3. 3. 71369

  4. 4. 4201

  5. 5. 2014

  6. 6. 60235

  7. 7. 6453

  8. 8. 2036