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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. 379 097 + 59 604 = ? → 438701Prompt: Line up the digits from the right.
  2. 412 089 − 201 138 = ? → 210951Prompt: Start with the ones column.
  3. A music festival sold 25 882 tickets on Friday, 14 599 on Saturday and 6974 on Sunday. How many tickets were sold altogether? → 47455Prompt: 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 62 874 boxes. 6782 are sent out and 4072 new boxes arrive. How many boxes are there now? → 60164Prompt: Take away the boxes sent out.
  2. Lucia's class wants to walk 6000 steps each for charity. Lucia walked 1410 steps on Monday and 1663 on Tuesday. How many more steps are needed? → 2927Prompt: 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. Tariq's grandmother was born in 1975. She had Tariq's parent when she was 31, and Tariq was born when that parent was 17. In which year was Tariq born? → 2023Prompt: Find the year the parent was born.
  2. Grace's class wants to walk 19000 steps each for charity. Grace walked 6425 steps on Monday and 678 on Tuesday. How many more steps are needed? → 11897Prompt: How many steps so far?

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

    Chloe's class wants to walk 18000 steps each for charity. Chloe walked 4631 steps on Monday and 7807 on Tuesday. How many more steps are needed?

    Answer

  2. Question 2

    Ines's grandmother was born in 1990. She had Ines's parent when she was 27, and Ines was born when that parent was 13. In which year was Ines born?

    Answer

  3. Question 3

    A warehouse has 43 266 boxes. 8673 are sent out and 6951 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Leo's class wants to walk 13000 steps each for charity. Leo walked 1963 steps on Monday and 4019 on Tuesday. How many more steps are needed?

    Answer

  5. Question 5

    Mateo's grandmother was born in 1966. She had Mateo's parent when she was 30, and Mateo was born when that parent was 14. In which year was Mateo born?

    Answer

  6. Question 6

    A warehouse has 22 261 boxes. 6784 are sent out and 4393 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. 5562

  2. 2. 2030

  3. 3. 41544

  4. 4. 7018

  5. 5. 2010

  6. 6. 19870