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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. 267 564 + 441 131 = ? → 708695Prompt: Line up the digits from the right.
  2. 891 955 − 342 673 = ? → 549282Prompt: Start with the ones column.
  3. A music festival sold 76 782 tickets on Friday, 16 706 on Saturday and 8799 on Sunday. How many tickets were sold altogether? → 102287Prompt: 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 48 736 boxes. 8059 are sent out and 5058 new boxes arrive. How many boxes are there now? → 45735Prompt: Take away the boxes sent out.
  2. Chloe's class wants to walk 11000 steps each for charity. Chloe walked 3520 steps on Monday and 3937 on Tuesday. How many more steps are needed? → 3543Prompt: 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. Hiro's grandmother was born in 1965. She had Hiro's parent when she was 35, and Hiro was born when that parent was 22. In which year was Hiro born? → 2022Prompt: Find the year the parent was born.
  2. A warehouse has 51 220 boxes. 3401 are sent out and 7562 new boxes arrive. How many boxes are there now? → 55381Prompt: 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

    Luis's grandmother was born in 1952. She had Luis's parent when she was 35, and Luis was born when that parent was 17. In which year was Luis born?

    Answer

  2. Question 2

    Ana's class wants to walk 7000 steps each for charity. Ana walked 2185 steps on Monday and 2310 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 47 600 boxes. 6262 are sent out and 5996 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Kai's grandmother was born in 1988. She had Kai's parent when she was 24, and Kai was born when that parent was 13. In which year was Kai born?

    Answer

  5. Question 5

    Lucia's class wants to walk 20000 steps each for charity. Lucia walked 6881 steps on Monday and 7320 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 83 306 boxes. 4141 are sent out and 5086 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Luis's grandmother was born in 1955. She had Luis's parent when she was 22, and Luis was born when that parent was 21. In which year was Luis born?

    Answer

  8. Question 8

    Arjun's class wants to walk 14000 steps each for charity. Arjun walked 1018 steps on Monday and 2616 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. 2004

  2. 2. 2505

  3. 3. 47334

  4. 4. 2025

  5. 5. 5799

  6. 6. 84251

  7. 7. 1998

  8. 8. 10366