Dividing Multi-Digit Numbers

Grade: 6 | Duration: 30 minutes | Class Size: 11 students

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Common Core Standards Addressed

CCSS.MATH.CONTENT.6.NS.B.2
Fluently divide multi-digit numbers using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division.

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Learning Objectives ("I Can" Statements)

• I can divide multi-digit whole numbers fluently using place value strategies.
• I can solve division problems involving real-world contexts.
• I can explain my reasoning when dividing large numbers.

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Success Criteria

• I accurately perform division on multi-digit whole numbers.
• I use division to solve word problems related to real-life situations.
• I can clearly explain how I arrived at my answer using division strategies.

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Materials Needed

• Whiteboard and markers
• Individual dry erase boards and markers for each student
• Printed word problems incorporating multi-digit division
• Base-10 blocks or place value charts (optional)
• Dyslexia-friendly worksheets with larger font and color-coded examples

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Lesson Breakdown

1. Warm-Up & Review (5 minutes)

• Quick oral review of division vocabulary (dividend, divisor, quotient, remainder).
• Recap lesson 5: Division facts and two-digit divisors with mental math strategies.
• Mini "I can" check – ask students to verbally share one strategy they remember for division.

Differentiation: Use visual flashcards for vocabulary to support ELL and dyslexic students.

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2. Direct Instruction & Modeling (8 minutes)

• Introduce division of multi-digit whole numbers with a focus on place value strategies.
• Demonstrate dividing 3-digit dividends by 1- or 2-digit divisors step-by-step on the whiteboard.
• Example: 756 ÷ 12
  • Use place value to estimate first digits of the quotient.
  • Show partial quotients before combining them.
• Use the base-10 blocks or place value chart to visually demonstrate breaking down numbers.

Dyslexia-Friendly Tips:

• Use color coding to highlight each step (e.g., blue for dividend parts, green for divisor, red for remainder).
• Present steps in a numbered list with clear spacing.

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3. Guided Practice (8 minutes)

• Hand out dry erase boards.
• Pose 3 division problems of increasing complexity (e.g., 524 ÷ 4, 1,224 ÷ 6, 3,360 ÷ 15).
• Students solve while thinking aloud (pairs if comfortable).
• Teacher circulates, provides support for students struggling with calculations or strategies.

Success Criteria Check:

• Students can explain the division process they used.
• Students show work with at least two different place value methods (long division and partial quotients).

Differentiation:

• For students needing extra support, provide calculators for initial answers, then guide through manual steps.
• Use chunking strategy: break problem into smaller, manageable steps.

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4. Real-World Application & Discussion (6 minutes)

• Present a word problem:
  "A packing company has 3,600 boxes to be loaded equally onto 15 trucks. How many boxes does each truck get?"
• Students work individually or in pairs to solve using the strategies practiced.
• Discuss answers as a class, emphasizing estimation and checking work.

Extension Activity for Advanced Learners:

• Challenge: Create their own word problem involving division of multi-digit numbers and solve it.

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5. Quick Check & Closing (3 minutes)

• Exit Ticket: One division problem on their dry erase boards (e.g., 2,475 ÷ 25).
• Collect and review quickly to identify understanding.
• Recap "I can" statements and success criteria; ask 2-3 students to share what they learned.

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Differentiation Summary

Learner Type	Strategy	Tool/Support
Struggling learners	Use calculators, manipulatives, guided chunking	Base-10 blocks, calculators
ELL/Dyslexic learners	Visual vocabulary cards, dyslexia-friendly worksheets, color coding	Color-coded steps, dyslexia-friendly fonts
Advanced learners	Create and solve own complex word problems	Extension challenge prompt

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Reflection for Teachers

• Were students able to clearly explain their division strategies?
• Did visual aids and hands-on practice support diverse learners effectively?
• Adjust pacing and provide additional practice for students not yet fluent with multi-digit division.

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Notes

This lesson ensures students build on prior division knowledge and apply it fluently, linking place value understanding with real-world problem solving, matching the rigor and expectations of the Common Core standard 6.NS.B.2. The mixed modality approach (visual, verbal, tactile) enhances access for all learners, including those with reading difficulties.