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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. 70 728 + 105 646 = ? → 176374Prompt: Line up the digits from the right.
  2. 778 872 − 363 566 = ? → 415306Prompt: Start with the ones column.
  3. A music festival sold 56 774 tickets on Friday, 5935 on Saturday and 3054 on Sunday. How many tickets were sold altogether? → 65763Prompt: 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 67 232 boxes. 2248 are sent out and 3776 new boxes arrive. How many boxes are there now? → 68760Prompt: Take away the boxes sent out.
  2. Sofia's class wants to walk 18000 steps each for charity. Sofia walked 2540 steps on Monday and 697 on Tuesday. How many more steps are needed? → 14763Prompt: 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 grandmother was born in 1980. She had Priya's parent when she was 27, and Priya was born when that parent was 25. In which year was Priya born? → 2032Prompt: Find the year the parent was born.
  2. A warehouse has 66 843 boxes. 8888 are sent out and 3312 new boxes arrive. How many boxes are there now? → 61267Prompt: 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 74 628 boxes. 4846 are sent out and 7575 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Ravi's class wants to walk 20000 steps each for charity. Ravi walked 6627 steps on Monday and 2547 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    Kwame's grandmother was born in 1976. She had Kwame's parent when she was 29, and Kwame was born when that parent was 16. In which year was Kwame born?

    Answer

  4. Question 4

    A warehouse has 62 334 boxes. 4027 are sent out and 4815 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Nia's class wants to walk 8000 steps each for charity. Nia walked 3447 steps on Monday and 3185 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    Yuki's grandmother was born in 1950. She had Yuki's parent when she was 34, and Yuki was born when that parent was 19. In which year was Yuki born?

    Answer

  7. Question 7

    A warehouse has 45 558 boxes. 7810 are sent out and 8444 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Aisha's class wants to walk 11000 steps each for charity. Aisha walked 4515 steps on Monday and 3358 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. 77357

  2. 2. 10826

  3. 3. 2021

  4. 4. 63122

  5. 5. 1368

  6. 6. 2003

  7. 7. 46192

  8. 8. 3127