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Math lesson plan · 4th grade (Year 5 in England) · 60 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 · 6 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. 178 007 + 477 081 = ? → 655088Prompt: Line up the digits from the right.
  2. 849 806 − 151 536 = ? → 698270Prompt: Start with the ones column.
  3. A music festival sold 46 531 tickets on Friday, 33 425 on Saturday and 2060 on Sunday. How many tickets were sold altogether? → 82016Prompt: Add the first two numbers, then add the third.

Hook · 6 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 · 12 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 · 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. A warehouse has 87 968 boxes. 5512 are sent out and 4926 new boxes arrive. How many boxes are there now? → 87382Prompt: Take away the boxes sent out.
  2. Leo's class wants to walk 16000 steps each for charity. Leo walked 6759 steps on Monday and 4047 on Tuesday. How many more steps are needed? → 5194Prompt: How many steps so far?

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. Luis's grandmother was born in 1976. She had Luis's parent when she was 29, and Luis was born when that parent was 22. In which year was Luis born? → 2027Prompt: Find the year the parent was born.
  2. A warehouse has 39 217 boxes. 2183 are sent out and 8503 new boxes arrive. How many boxes are there now? → 45537Prompt: 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

    Nia's grandmother was born in 1958. She had Nia's parent when she was 27, and Nia was born when that parent was 19. In which year was Nia born?

    Answer

  2. Question 2

    Arjun's class wants to walk 5000 steps each for charity. Arjun walked 1977 steps on Monday and 1719 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 89 106 boxes. 2878 are sent out and 7930 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Isla's grandmother was born in 1956. She had Isla's parent when she was 28, and Isla was born when that parent was 11. In which year was Isla born?

    Answer

  5. Question 5

    Hana's class wants to walk 7000 steps each for charity. Hana walked 2356 steps on Monday and 681 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 57 896 boxes. 3655 are sent out and 8289 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Zoe's grandmother was born in 1958. She had Zoe's parent when she was 27, and Zoe was born when that parent was 10. In which year was Zoe born?

    Answer

  8. Question 8

    Mei's class wants to walk 14000 steps each for charity. Mei walked 2108 steps on Monday and 1146 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. 2004

  2. 2. 1304

  3. 3. 94158

  4. 4. 1995

  5. 5. 3963

  6. 6. 62530

  7. 7. 1995

  8. 8. 10746