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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. 144 264 + 122 358 = ? → 266622Prompt: Line up the digits from the right.
  2. 994 628 − 629 529 = ? → 365099Prompt: Start with the ones column.
  3. A music festival sold 75 260 tickets on Friday, 27 003 on Saturday and 6437 on Sunday. How many tickets were sold altogether? → 108700Prompt: 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 56 706 boxes. 7890 are sent out and 6361 new boxes arrive. How many boxes are there now? → 55177Prompt: Take away the boxes sent out.
  2. Chloe's class wants to walk 20000 steps each for charity. Chloe walked 6843 steps on Monday and 7698 on Tuesday. How many more steps are needed? → 5459Prompt: 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. Ravi's class wants to walk 6000 steps each for charity. Ravi walked 1254 steps on Monday and 654 on Tuesday. How many more steps are needed? → 4092Prompt: How many steps so far?
  2. A warehouse has 67 095 boxes. 5493 are sent out and 8112 new boxes arrive. How many boxes are there now? → 69714Prompt: 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 82 541 boxes. 7261 are sent out and 1838 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Fatima's grandmother was born in 1957. She had Fatima's parent when she was 35, and Fatima was born when that parent was 23. In which year was Fatima born?

    Answer

  3. Question 3

    Ravi's class wants to walk 7000 steps each for charity. Ravi walked 1048 steps on Monday and 1164 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    A warehouse has 61 407 boxes. 7924 are sent out and 1571 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Fatima's grandmother was born in 1983. She had Fatima's parent when she was 35, and Fatima was born when that parent was 17. In which year was Fatima born?

    Answer

  6. Question 6

    Sofia's class wants to walk 10000 steps each for charity. Sofia walked 1661 steps on Monday and 3370 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    A warehouse has 62 950 boxes. 6941 are sent out and 6860 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Tariq's grandmother was born in 1959. She had Tariq's parent when she was 29, and Tariq was born when that parent was 12. In which year was Tariq born?

    Answer

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

  1. 1. 77118

  2. 2. 2015

  3. 3. 4788

  4. 4. 55054

  5. 5. 2035

  6. 6. 4969

  7. 7. 62869

  8. 8. 2000