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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. 405 750 + 375 677 = ? → 781427Prompt: Line up the digits from the right.
  2. 687 904 − 631 860 = ? → 56044Prompt: Start with the ones column.
  3. A music festival sold 16 744 tickets on Friday, 34 479 on Saturday and 3467 on Sunday. How many tickets were sold altogether? → 54690Prompt: 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 83 874 boxes. 8193 are sent out and 1940 new boxes arrive. How many boxes are there now? → 77621Prompt: Take away the boxes sent out.
  2. Amara's class wants to walk 20000 steps each for charity. Amara walked 1236 steps on Monday and 1126 on Tuesday. How many more steps are needed? → 17638Prompt: 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. Chloe's grandmother was born in 1986. She had Chloe's parent when she was 26, and Chloe was born when that parent was 19. In which year was Chloe born? → 2031Prompt: Find the year the parent was born.
  2. A warehouse has 62 291 boxes. 4083 are sent out and 2972 new boxes arrive. How many boxes are there now? → 61180Prompt: 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

    A warehouse has 86 764 boxes. 5555 are sent out and 6395 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Mateo's grandmother was born in 1977. She had Mateo's parent when she was 25, and Mateo was born when that parent was 13. In which year was Mateo born?

    Answer

  3. Question 3

    Daniel's class wants to walk 8000 steps each for charity. Daniel walked 3885 steps on Monday and 1367 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    A warehouse has 77 739 boxes. 5366 are sent out and 7750 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Zara's grandmother was born in 1978. She had Zara's parent when she was 21, and Zara was born when that parent was 17. In which year was Zara born?

    Answer

  6. Question 6

    Felix's class wants to walk 8000 steps each for charity. Felix walked 3823 steps on Monday and 585 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    A warehouse has 87 419 boxes. 2684 are sent out and 1674 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Felix's grandmother was born in 1962. She had Felix's parent when she was 22, and Felix was born when that parent was 21. In which year was Felix born?

    Answer

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

  1. 1. 87604

  2. 2. 2015

  3. 3. 2748

  4. 4. 80123

  5. 5. 2016

  6. 6. 3592

  7. 7. 86409

  8. 8. 2005