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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. 292 824 + 331 871 = ? → 624695Prompt: Line up the digits from the right.
  2. 178 407 − 107 129 = ? → 71278Prompt: Start with the ones column.
  3. A music festival sold 47 095 tickets on Friday, 22 473 on Saturday and 5743 on Sunday. How many tickets were sold altogether? → 75311Prompt: 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 89 077 boxes. 3588 are sent out and 2733 new boxes arrive. How many boxes are there now? → 88222Prompt: Take away the boxes sent out.
  2. Hana's class wants to walk 5000 steps each for charity. Hana walked 1233 steps on Monday and 2018 on Tuesday. How many more steps are needed? → 1749Prompt: 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. A warehouse has 89 348 boxes. 5036 are sent out and 2741 new boxes arrive. How many boxes are there now? → 87053Prompt: Take away the boxes sent out.
  2. Hiro's grandmother was born in 1963. She had Hiro's parent when she was 27, and Hiro was born when that parent was 19. In which year was Hiro born? → 2009Prompt: 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/ 8

  1. Question 1

    Hiro's grandmother was born in 1986. She had Hiro's parent when she was 27, and Hiro was born when that parent was 25. In which year was Hiro born?

    Answer

  2. Question 2

    Ava's class wants to walk 17000 steps each for charity. Ava walked 5169 steps on Monday and 6675 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 63 461 boxes. 8839 are sent out and 1089 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Diego's grandmother was born in 1982. She had Diego's parent when she was 22, and Diego was born when that parent was 12. In which year was Diego born?

    Answer

  5. Question 5

    Maya's class wants to walk 12000 steps each for charity. Maya walked 5908 steps on Monday and 802 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 82 422 boxes. 6878 are sent out and 6292 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Priya's grandmother was born in 1964. She had Priya's parent when she was 31, and Priya was born when that parent was 10. In which year was Priya born?

    Answer

  8. Question 8

    Ana's class wants to walk 5000 steps each for charity. Ana walked 2243 steps on Monday and 1059 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. 2038

  2. 2. 5156

  3. 3. 55711

  4. 4. 2016

  5. 5. 5290

  6. 6. 81836

  7. 7. 2005

  8. 8. 1698