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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. 235 538 + 317 194 = ? → 552732Prompt: Line up the digits from the right.
  2. 232 799 − 209 934 = ? → 22865Prompt: Start with the ones column.
  3. A music festival sold 16 528 tickets on Friday, 11 037 on Saturday and 3403 on Sunday. How many tickets were sold altogether? → 30968Prompt: 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 37 067 boxes. 3081 are sent out and 6736 new boxes arrive. How many boxes are there now? → 40722Prompt: Take away the boxes sent out.
  2. Felix's class wants to walk 6000 steps each for charity. Felix walked 1125 steps on Monday and 2269 on Tuesday. How many more steps are needed? → 2606Prompt: 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. Jamal's class wants to walk 11000 steps each for charity. Jamal walked 3870 steps on Monday and 4520 on Tuesday. How many more steps are needed? → 2610Prompt: How many steps so far?
  2. A warehouse has 46 088 boxes. 8505 are sent out and 7451 new boxes arrive. How many boxes are there now? → 45034Prompt: 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

    Aisha's grandmother was born in 1954. She had Aisha's parent when she was 33, and Aisha was born when that parent was 25. In which year was Aisha born?

    Answer

  2. Question 2

    Arjun's class wants to walk 14000 steps each for charity. Arjun walked 4955 steps on Monday and 6364 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 27 453 boxes. 4455 are sent out and 2387 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Sam's grandmother was born in 1956. She had Sam's parent when she was 34, and Sam was born when that parent was 21. In which year was Sam born?

    Answer

  5. Question 5

    Ava's class wants to walk 13000 steps each for charity. Ava walked 1717 steps on Monday and 4552 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 20 244 boxes. 8243 are sent out and 1469 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Lucia's grandmother was born in 1958. She had Lucia's parent when she was 22, and Lucia was born when that parent was 19. In which year was Lucia born?

    Answer

  8. Question 8

    Maya's class wants to walk 16000 steps each for charity. Maya walked 4010 steps on Monday and 2298 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. 2012

  2. 2. 2681

  3. 3. 25385

  4. 4. 2011

  5. 5. 6731

  6. 6. 13470

  7. 7. 1999

  8. 8. 9692