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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. 452 361 + 131 868 = ? → 584229Prompt: Line up the digits from the right.
  2. 307 324 − 113 761 = ? → 193563Prompt: Start with the ones column.
  3. A music festival sold 55 811 tickets on Friday, 15 699 on Saturday and 3223 on Sunday. How many tickets were sold altogether? → 74733Prompt: 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 49 093 boxes. 2851 are sent out and 8537 new boxes arrive. How many boxes are there now? → 54779Prompt: Take away the boxes sent out.
  2. Zara's class wants to walk 11000 steps each for charity. Zara walked 4486 steps on Monday and 3174 on Tuesday. How many more steps are needed? → 3340Prompt: 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. Noah's grandmother was born in 1968. She had Noah's parent when she was 20, and Noah was born when that parent was 13. In which year was Noah born? → 2001Prompt: Find the year the parent was born.
  2. Jamal's class wants to walk 6000 steps each for charity. Jamal walked 2167 steps on Monday and 1914 on Tuesday. How many more steps are needed? → 1919Prompt: 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

    A warehouse has 45 434 boxes. 2156 are sent out and 1696 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Mei's grandmother was born in 1967. She had Mei's parent when she was 25, and Mei was born when that parent was 20. In which year was Mei born?

    Answer

  3. Question 3

    Kwame's class wants to walk 5000 steps each for charity. Kwame walked 1376 steps on Monday and 1855 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    A warehouse has 26 536 boxes. 2472 are sent out and 8997 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Daniel's grandmother was born in 1962. She had Daniel's parent when she was 21, and Daniel was born when that parent was 23. In which year was Daniel born?

    Answer

  6. Question 6

    Chloe's class wants to walk 12000 steps each for charity. Chloe walked 4156 steps on Monday and 2675 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    A warehouse has 54 876 boxes. 7179 are sent out and 8038 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Zara's grandmother was born in 1981. She had Zara's parent when she was 33, and Zara was born when that parent was 14. In which year was Zara born?

    Answer

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

  1. 1. 44974

  2. 2. 2012

  3. 3. 1769

  4. 4. 33061

  5. 5. 2006

  6. 6. 5169

  7. 7. 55735

  8. 8. 2028