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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. 218 066 + 410 922 = ? → 628988Prompt: Line up the digits from the right.
  2. 867 549 − 88 979 = ? → 778570Prompt: Start with the ones column.
  3. A music festival sold 73 961 tickets on Friday, 27 258 on Saturday and 4329 on Sunday. How many tickets were sold altogether? → 105548Prompt: 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 45 325 boxes. 3343 are sent out and 3183 new boxes arrive. How many boxes are there now? → 45165Prompt: Take away the boxes sent out.
  2. Nia's class wants to walk 11000 steps each for charity. Nia walked 5000 steps on Monday and 983 on Tuesday. How many more steps are needed? → 5017Prompt: 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. Kai's class wants to walk 14000 steps each for charity. Kai walked 2409 steps on Monday and 3321 on Tuesday. How many more steps are needed? → 8270Prompt: How many steps so far?
  2. A warehouse has 50 243 boxes. 7878 are sent out and 3465 new boxes arrive. How many boxes are there now? → 45830Prompt: 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

    Diego's grandmother was born in 1970. She had Diego's parent when she was 29, and Diego was born when that parent was 15. In which year was Diego born?

    Answer

  2. Question 2

    Noah's class wants to walk 13000 steps each for charity. Noah walked 5388 steps on Monday and 3793 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 37 038 boxes. 6192 are sent out and 1328 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Kofi's grandmother was born in 1965. She had Kofi's parent when she was 25, and Kofi was born when that parent was 23. In which year was Kofi born?

    Answer

  5. Question 5

    Noah's class wants to walk 14000 steps each for charity. Noah walked 3191 steps on Monday and 3383 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 87 667 boxes. 7815 are sent out and 5427 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Maya's grandmother was born in 1982. She had Maya's parent when she was 30, and Maya was born when that parent was 12. In which year was Maya born?

    Answer

  8. Question 8

    Fatima's class wants to walk 12000 steps each for charity. Fatima walked 5520 steps on Monday and 1676 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. 2014

  2. 2. 3819

  3. 3. 32174

  4. 4. 2013

  5. 5. 7426

  6. 6. 85279

  7. 7. 2024

  8. 8. 4804