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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. 420 344 + 289 619 = ? → 709963Prompt: Line up the digits from the right.
  2. 259 426 − 31 956 = ? → 227470Prompt: Start with the ones column.
  3. A music festival sold 67 130 tickets on Friday, 24 989 on Saturday and 6618 on Sunday. How many tickets were sold altogether? → 98737Prompt: 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 37 918 boxes. 3940 are sent out and 5241 new boxes arrive. How many boxes are there now? → 39219Prompt: Take away the boxes sent out.
  2. Mei's class wants to walk 17000 steps each for charity. Mei walked 6733 steps on Monday and 3072 on Tuesday. How many more steps are needed? → 7195Prompt: 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. Diego's class wants to walk 20000 steps each for charity. Diego walked 9214 steps on Monday and 9115 on Tuesday. How many more steps are needed? → 1671Prompt: How many steps so far?
  2. A warehouse has 56 476 boxes. 2491 are sent out and 7176 new boxes arrive. How many boxes are there now? → 61161Prompt: 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/ 6

  1. Question 1

    Zoe's grandmother was born in 1980. She had Zoe's parent when she was 28, and Zoe was born when that parent was 16. In which year was Zoe born?

    Answer

  2. Question 2

    A warehouse has 38 385 boxes. 6558 are sent out and 5988 new boxes arrive. How many boxes are there now?

    Answer

  3. Question 3

    Tariq's class wants to walk 15000 steps each for charity. Tariq walked 1458 steps on Monday and 5371 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    Chloe's grandmother was born in 1989. She had Chloe's parent when she was 31, and Chloe was born when that parent was 24. In which year was Chloe born?

    Answer

  5. Question 5

    A warehouse has 87 662 boxes. 7330 are sent out and 4514 new boxes arrive. How many boxes are there now?

    Answer

  6. Question 6

    Fatima's class wants to walk 20000 steps each for charity. Fatima walked 6358 steps on Monday and 2821 on Tuesday. How many more steps are needed?

    Answer

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

  1. 1. 2024

  2. 2. 37815

  3. 3. 8171

  4. 4. 2044

  5. 5. 84846

  6. 6. 10821