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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. 250 349 + 294 764 = ? → 545113Prompt: Line up the digits from the right.
  2. 438 366 − 339 890 = ? → 98476Prompt: Start with the ones column.
  3. A music festival sold 74 315 tickets on Friday, 34 590 on Saturday and 4234 on Sunday. How many tickets were sold altogether? → 113139Prompt: 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 84 654 boxes. 3671 are sent out and 4910 new boxes arrive. How many boxes are there now? → 85893Prompt: Take away the boxes sent out.
  2. Omar's class wants to walk 8000 steps each for charity. Omar walked 1622 steps on Monday and 719 on Tuesday. How many more steps are needed? → 5659Prompt: 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 class wants to walk 15000 steps each for charity. Chloe walked 1367 steps on Monday and 7368 on Tuesday. How many more steps are needed? → 6265Prompt: How many steps so far?
  2. A warehouse has 69 303 boxes. 6145 are sent out and 6283 new boxes arrive. How many boxes are there now? → 69441Prompt: 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 50 932 boxes. 7105 are sent out and 2309 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Ravi's grandmother was born in 1989. She had Ravi's parent when she was 35, and Ravi was born when that parent was 17. In which year was Ravi born?

    Answer

  3. Question 3

    Amara's class wants to walk 8000 steps each for charity. Amara walked 1370 steps on Monday and 3443 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    A warehouse has 89 043 boxes. 4040 are sent out and 3971 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Arjun's grandmother was born in 1970. She had Arjun's parent when she was 22, and Arjun was born when that parent was 10. In which year was Arjun born?

    Answer

  6. Question 6

    Sam's class wants to walk 5000 steps each for charity. Sam walked 1098 steps on Monday and 1553 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    A warehouse has 30 897 boxes. 2866 are sent out and 5528 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Ben's grandmother was born in 1967. She had Ben's parent when she was 23, and Ben was born when that parent was 10. In which year was Ben born?

    Answer

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

  1. 1. 46136

  2. 2. 2041

  3. 3. 3187

  4. 4. 88974

  5. 5. 2002

  6. 6. 2349

  7. 7. 33559

  8. 8. 2000