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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. 412 524 + 223 886 = ? → 636410Prompt: Line up the digits from the right.
  2. 385 160 − 309 617 = ? → 75543Prompt: Start with the ones column.
  3. A music festival sold 76 798 tickets on Friday, 21 863 on Saturday and 1614 on Sunday. How many tickets were sold altogether? → 100275Prompt: 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 82 289 boxes. 7542 are sent out and 2540 new boxes arrive. How many boxes are there now? → 77287Prompt: Take away the boxes sent out.
  2. Hana's class wants to walk 15000 steps each for charity. Hana walked 5707 steps on Monday and 3841 on Tuesday. How many more steps are needed? → 5452Prompt: 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. Priya's class wants to walk 16000 steps each for charity. Priya walked 1309 steps on Monday and 1605 on Tuesday. How many more steps are needed? → 13086Prompt: How many steps so far?
  2. A warehouse has 60 010 boxes. 4612 are sent out and 2007 new boxes arrive. How many boxes are there now? → 57405Prompt: 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 46 026 boxes. 6922 are sent out and 2323 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Ben's grandmother was born in 1981. She had Ben's parent when she was 27, and Ben was born when that parent was 22. In which year was Ben born?

    Answer

  3. Question 3

    Fatima's class wants to walk 19000 steps each for charity. Fatima walked 3015 steps on Monday and 7622 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    A warehouse has 21 982 boxes. 7550 are sent out and 8695 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Kofi's grandmother was born in 1950. She had Kofi's parent when she was 22, and Kofi was born when that parent was 23. In which year was Kofi born?

    Answer

  6. Question 6

    Zoe's class wants to walk 18000 steps each for charity. Zoe walked 6891 steps on Monday and 6717 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    A warehouse has 34 380 boxes. 8668 are sent out and 3327 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Ines's grandmother was born in 1961. She had Ines's parent when she was 25, and Ines was born when that parent was 23. In which year was Ines born?

    Answer

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

  1. 1. 41427

  2. 2. 2030

  3. 3. 8363

  4. 4. 23127

  5. 5. 1995

  6. 6. 4392

  7. 7. 29039

  8. 8. 2009