Dividing Fractions

Lesson 11: Understanding Dividing Fractions by Whole Numbers

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Grade Level:

6th Grade

Duration:

30 Minutes

Class Size:

13 students

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Common Core State Standards Alignment

CCSS.MATH.CONTENT.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.

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Learning Objectives

By the end of this lesson, students will be able to:

• I can explain what it means to divide a fraction by a whole number using visual models.
• I can compute division problems involving fractions divided by whole numbers using the concept of reciprocals.
• I can demonstrate understanding by illustrating fraction division with visual models such as fraction strips or area models.

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Success Criteria

Students will be successful if they can:

• Accurately solve fraction division problems involving dividing fractions by whole numbers.
• Show understanding using visual fraction models that represent division.
• Explain the process of “flipping and multiplying” a whole number when dividing fractions.
• Participate actively in discussions and problem-solving activities.

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Materials Needed

• Whiteboard and markers
• Fraction strips or printed fraction bars for each student
• Individual whiteboards and dry erase markers for students
• Worksheet with division of fractions by whole numbers problems (age-appropriate)
• Dyslexia-friendly handout with large, clear font and color-coded fractions
• Timer or stopwatch for activity pacing

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Lesson Outline

Time	Activity	Details & Differentiation
0-5 min	Warm-up / Review	Quick review of multiplying fractions and whole numbers to activate prior knowledge. Use a fun question: “If I have 1/3 of a pizza and I eat it twice, how much pizza did I eat?” Students respond orally.
5-10 min	Introduction to Dividing Fractions by Whole Numbers	- Teacher models dividing a fraction by a whole number using visual fraction strips (e.g., 3/4 ÷ 2). - Discussion: Why does dividing by a whole number mean splitting something into equal parts? Dyslexia Support: Use color-coded fraction strips and repetition of key vocabulary.
10-15 min	Reciprocal Concept & Technique Explanation	- Teach the “flip and multiply” method: To divide 3/4 ÷ 2, rewrite as 3/4 × 1/2. - Use area model drawings on whiteboard. - Students practice rewriting 1-2 examples. Differentiation: Provide sentence frames for struggling writers: “I divide ______ by ______ by multiplying by ______.”
15-25 min	Hands-on Activity & Partner Work	- Students work in pairs to solve 4 problems using fraction strips and whiteboards. - Encourage use of visual models to explain their thinking. - Teacher circulates to support and scaffold. Extension for Advanced Learners: Challenge them to create and solve a word problem involving dividing a fraction by a whole number. Support for Diverse Learners: Use guided question prompts and one-on-one help.
25-30 min	Wrap-Up & Quick Assessment	- Exit ticket: Each student solves 1 division problem on their whiteboard and explains their method (verbally or written). - Review answers as a class. - Teacher gives verbal positive feedback and reiterates the concept within “I can” framework.

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Differentiation Strategies

• Visual learners: Use fraction strips, color-coded models, and area diagrams.
• Verbal learners: Frequent use of “I can” statements and think-aloud examples.
• Kinesthetic learners: Physical manipulation of fraction strips during activities.
• Students with dyslexia: Provide dyslexia-friendly materials: high contrast, simple fonts (e.g., OpenDyslexic or Arial), color coding, bulleted instructions, and oral explanations.
• English language learners: Use visuals and sentence frames, pair with stronger peers, and repeat vocabulary in multiple modes.
• Advanced learners: Create their own divison word problems and solve them, explaining the reasoning.

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Assessment

• Formative assessment during partner work through observation and questioning.
• Exit ticket problem to check individual understanding and ability to apply reciprocal concepts.
• Informal oral explanation to assess conceptual understanding.

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Extension Activity for Early Finishers or Advanced Students

• Create Your Own Problem: Students write and solve a word problem involving dividing a fraction by a whole number. Example: “I have 5/6 of a chocolate bar. I want to share it equally with 3 friends. How much does each friend get?”
• Encourage drawing models and explaining steps.

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Teacher Reflection Notes (Post-lesson)

• How well did the students grasp the concept of dividing fractions by whole numbers?
• Which visual models worked best for engagement and understanding?
• Were the “I can” statements meaningful and motivating?
• What adjustments can be made for students who struggled or excelled?

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Thank you for your commitment to making math accessible and exciting for your students!