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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. 429 941 + 273 953 = ? → 703894Prompt: Line up the digits from the right.
  2. 355 724 − 137 811 = ? → 217913Prompt: Start with the ones column.
  3. A music festival sold 69 592 tickets on Friday, 16 099 on Saturday and 7353 on Sunday. How many tickets were sold altogether? → 93044Prompt: 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 27 986 boxes. 2603 are sent out and 2351 new boxes arrive. How many boxes are there now? → 27734Prompt: Take away the boxes sent out.
  2. Arjun's class wants to walk 14000 steps each for charity. Arjun walked 1979 steps on Monday and 891 on Tuesday. How many more steps are needed? → 11130Prompt: 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. Sam's grandmother was born in 1950. She had Sam's parent when she was 34, and Sam was born when that parent was 23. In which year was Sam born? → 2007Prompt: Find the year the parent was born.
  2. Fatima's class wants to walk 15000 steps each for charity. Fatima walked 2141 steps on Monday and 6106 on Tuesday. How many more steps are needed? → 6753Prompt: 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/ 8

  1. Question 1

    Mei's grandmother was born in 1973. She had Mei's parent when she was 21, and Mei was born when that parent was 23. In which year was Mei born?

    Answer

  2. Question 2

    A warehouse has 24 747 boxes. 2187 are sent out and 7674 new boxes arrive. How many boxes are there now?

    Answer

  3. Question 3

    Leo's class wants to walk 8000 steps each for charity. Leo walked 1769 steps on Monday and 3268 on Tuesday. How many more steps are needed?

    Answer

  4. Question 4

    Ava's grandmother was born in 1983. She had Ava's parent when she was 28, and Ava was born when that parent was 21. In which year was Ava born?

    Answer

  5. Question 5

    A warehouse has 63 476 boxes. 2058 are sent out and 1299 new boxes arrive. How many boxes are there now?

    Answer

  6. Question 6

    Ana's class wants to walk 13000 steps each for charity. Ana walked 6498 steps on Monday and 1250 on Tuesday. How many more steps are needed?

    Answer

  7. Question 7

    Noah's grandmother was born in 1971. She had Noah's parent when she was 33, and Noah was born when that parent was 18. In which year was Noah born?

    Answer

  8. Question 8

    A warehouse has 56 950 boxes. 8922 are sent out and 8127 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. 2017

  2. 2. 30234

  3. 3. 2963

  4. 4. 2032

  5. 5. 62717

  6. 6. 5252

  7. 7. 2022

  8. 8. 56155