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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. 319 858 + 36 250 = ? → 356108Prompt: Line up the digits from the right.
  2. 276 025 − 24 254 = ? → 251771Prompt: Start with the ones column.
  3. A music festival sold 21 936 tickets on Friday, 13 214 on Saturday and 1386 on Sunday. How many tickets were sold altogether? → 36536Prompt: 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 58 825 boxes. 7807 are sent out and 5619 new boxes arrive. How many boxes are there now? → 56637Prompt: Take away the boxes sent out.
  2. Kai's class wants to walk 16000 steps each for charity. Kai walked 3205 steps on Monday and 5425 on Tuesday. How many more steps are needed? → 7370Prompt: 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. Grace's class wants to walk 5000 steps each for charity. Grace walked 2130 steps on Monday and 1870 on Tuesday. How many more steps are needed? → 1000Prompt: How many steps so far?
  2. A warehouse has 85 412 boxes. 8537 are sent out and 6470 new boxes arrive. How many boxes are there now? → 83345Prompt: 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

    Amara's grandmother was born in 1976. She had Amara's parent when she was 31, and Amara was born when that parent was 12. In which year was Amara born?

    Answer

  2. Question 2

    Leo's class wants to walk 8000 steps each for charity. Leo walked 3801 steps on Monday and 928 on Tuesday. How many more steps are needed?

    Answer

  3. Question 3

    A warehouse has 71 882 boxes. 3959 are sent out and 5265 new boxes arrive. How many boxes are there now?

    Answer

  4. Question 4

    Kai's grandmother was born in 1953. She had Kai's parent when she was 20, and Kai was born when that parent was 14. In which year was Kai born?

    Answer

  5. Question 5

    Ines's class wants to walk 8000 steps each for charity. Ines walked 1988 steps on Monday and 2528 on Tuesday. How many more steps are needed?

    Answer

  6. Question 6

    A warehouse has 73 317 boxes. 8039 are sent out and 1342 new boxes arrive. How many boxes are there now?

    Answer

  7. Question 7

    Chloe's grandmother was born in 1977. She had Chloe's parent when she was 30, and Chloe was born when that parent was 20. In which year was Chloe born?

    Answer

  8. Question 8

    Hana's class wants to walk 11000 steps each for charity. Hana walked 3783 steps on Monday and 1253 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. 2019

  2. 2. 3271

  3. 3. 73188

  4. 4. 1987

  5. 5. 3484

  6. 6. 66620

  7. 7. 2027

  8. 8. 5964