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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. 312 612 + 337 034 = ? → 649646Prompt: Line up the digits from the right.
  2. 341 239 − 321 896 = ? → 19343Prompt: Start with the ones column.
  3. A music festival sold 21 947 tickets on Friday, 39 502 on Saturday and 1783 on Sunday. How many tickets were sold altogether? → 63232Prompt: 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 28 591 boxes. 2523 are sent out and 4807 new boxes arrive. How many boxes are there now? → 30875Prompt: Take away the boxes sent out.
  2. Mateo's class wants to walk 5000 steps each for charity. Mateo walked 2049 steps on Monday and 2331 on Tuesday. How many more steps are needed? → 620Prompt: 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. Mei's grandmother was born in 1971. She had Mei's parent when she was 20, and Mei was born when that parent was 10. In which year was Mei born? → 2001Prompt: Find the year the parent was born.
  2. Daniel's class wants to walk 18000 steps each for charity. Daniel walked 8311 steps on Monday and 1164 on Tuesday. How many more steps are needed? → 8525Prompt: 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

    A warehouse has 20 296 boxes. 5624 are sent out and 3249 new boxes arrive. How many boxes are there now?

    Answer

  2. Question 2

    Zoe's class wants to walk 7000 steps each for charity. Zoe walked 2114 steps on Monday and 1141 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    Hana's grandmother was born in 1981. She had Hana's parent when she was 33, and Hana was born when that parent was 20. In which year was Hana born?

    Answer

  4. Question 4

    A warehouse has 49 259 boxes. 6615 are sent out and 7453 new boxes arrive. How many boxes are there now?

    Answer

  5. Question 5

    Amara's class wants to walk 20000 steps each for charity. Amara walked 8821 steps on Monday and 5603 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    Hiro's grandmother was born in 1956. She had Hiro's parent when she was 35, and Hiro was born when that parent was 20. In which year was Hiro born?

    Answer

  7. Question 7

    A warehouse has 89 442 boxes. 3847 are sent out and 1262 new boxes arrive. How many boxes are there now?

    Answer

  8. Question 8

    Aisha's class wants to walk 13000 steps each for charity. Aisha walked 4134 steps on Monday and 4226 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. 17921

  2. 2. 3745

  3. 3. 2034

  4. 4. 50097

  5. 5. 5576

  6. 6. 2011

  7. 7. 86857

  8. 8. 4640