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Math lesson plan · 4th grade (Year 5 in England) · 30 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 · 4 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. 172 531 + 318 319 = ? → 490850Prompt: Line up the digits from the right.
  2. 191 911 − 75 174 = ? → 116737Prompt: Start with the ones column.
  3. A music festival sold 38 520 tickets on Friday, 15 490 on Saturday and 4631 on Sunday. How many tickets were sold altogether? → 58641Prompt: Add the first two numbers, then add the third.

Hook · 3 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 · 7 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 · 6 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 83 604 boxes. 7984 are sent out and 7677 new boxes arrive. How many boxes are there now? → 83297Prompt: Take away the boxes sent out.
  2. Mateo's class wants to walk 20000 steps each for charity. Mateo walked 2188 steps on Monday and 2301 on Tuesday. How many more steps are needed? → 15511Prompt: How many steps so far?

You do: independent practice · 7 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 6 questions are on the student sheet below, with answers in the key.

Exit ticket · 3 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Jamal's class wants to walk 15000 steps each for charity. Jamal walked 1373 steps on Monday and 817 on Tuesday. How many more steps are needed? → 12810Prompt: How many steps so far?
  2. Felix's grandmother was born in 1988. She had Felix's parent when she was 23, and Felix was born when that parent was 11. In which year was Felix born? → 2022Prompt: Find the year the parent was born.

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/ 6

  1. Question 1

    Yuki's grandmother was born in 1982. She had Yuki's parent when she was 21, and Yuki was born when that parent was 10. In which year was Yuki born?

    Answer

  2. Question 2

    Sam's class wants to walk 16000 steps each for charity. Sam walked 4439 steps on Monday and 1570 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 68 436 boxes. 4409 are sent out and 6828 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Felix's grandmother was born in 1962. She had Felix's parent when she was 30, and Felix was born when that parent was 14. In which year was Felix born?

    Answer

  5. Question 5

    Sofia's class wants to walk 13000 steps each for charity. Sofia walked 2332 steps on Monday and 2487 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 30 962 boxes. 8449 are sent out and 1972 new boxes arrive. How many boxes are there now?

    Answer

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

  1. 1. 2013

  2. 2. 9991

  3. 3. 70855

  4. 4. 2006

  5. 5. 8181

  6. 6. 24485