Mixed Numbers Mastery

Grade: 6th

Duration: 30 minutes

Class Size: 13 students

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Learning Objectives

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

• I can add mixed numbers by converting between improper fractions and mixed numbers.
• I can subtract mixed numbers by converting between improper fractions and mixed numbers.
• I can simplify my answers to mixed numbers or improper fractions.

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Common Core State Standards Alignment

CCSS.MATH.CONTENT.5.NF.A.2
“Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models...
(Extension to converting mixed numbers to improper fractions.)*

CCSS.MATH.CONTENT.5.NF.B.3
“Interpret multiplication as scaling (resizing), and compare the size of a product to the size of one factor on the basis of the size of the other factor.”
(Background understanding to fractions and their operations.)

CCSS.MATH.CONTENT.6.NS.A.1
“Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.”
(Supportive background for fraction operations.)

CCSS.MATH.CONTENT.5.NF.A.1 and 5.NF.A.2 are fundamental since 6th grade builds on these skills.

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Success Criteria

Students will demonstrate success when they:

• Correctly convert mixed numbers to improper fractions and vice versa.
• Accurately add and subtract mixed numbers with like and unlike denominators.
• Show step-by-step work through fraction addition and subtraction.
• Explain their reasoning to a peer or in written form, using appropriate vocabulary.

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Materials

• Whiteboard/markers
• Fraction strips or visual fraction models (physical or printed)
• Student notebooks
• Dry erase boards and markers (for each student)
• Worksheet with mixed numbers problems tailored for various difficulty levels (including visual aids)
• Dyslexia-friendly font printed instructions (e.g., OpenDyslexic style fonts) for handouts
• Timer

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Lesson Flow

1. Warm-up (5 minutes)

Objective: Activate prior knowledge on fractions and mixed numbers.

• Quick oral review: Ask students to identify mixed numbers and improper fractions on the board.
• Use fraction strips to visually recap the difference between improper fractions and mixed numbers.
• I can statement displayed: “I can identify and convert mixed numbers and improper fractions.”

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2. Direct Instruction (8 minutes)

Objective: Teach adding and subtracting mixed numbers through conversion.

• Model step-by-step how to convert a mixed number to an improper fraction.
• Show how to find a common denominator for addition and subtraction of fractions.
• Perform one full example of adding mixed numbers, using visual fraction models alongside the numeric method.
• Repeat for subtraction, emphasizing the need to borrow if needed (regrouping).
• Use clear visual aids on board with color coding for fractions, whole numbers, and denominators to maintain clarity.
• Encourage questions and clarify misconceptions while proceeding.

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3. Guided Practice (10 minutes)

Objective: Support students as they practice with teacher scaffolding.

• Hand out worksheets with mixed numbers addition and subtraction problems; differentiate tasks by student ability (some simpler problems with like denominators, others with unlike denominators).
• Pair students for peer collaboration; encourage explaining their thought process using “I can add/subtract mixed numbers by converting…” statements.
• Teacher circulates to prompt, guide, and support struggling learners, using fraction strips and visual cues.
• Dyslexia-friendly reading sheets are provided for instructions and problem statements.

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4. Independent Practice & Extension (5 minutes)

• Students solve a challenging problem independently on their dry erase boards: Add and subtract mixed numbers with unlike denominators, and simplify.
• Optional extension for advanced learners: Create their own word problem involving mixed number addition or subtraction and solve it.

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5. Closure & Assessment (2 minutes)

• Quick round-robin: Each student shares one “I can” statement related to today’s lesson and one question they still have.
• Collect dry erase boards to quickly assess accuracy and understanding.
• Summarize success criteria verbally and highlight next lesson’s focus (multiplying mixed numbers).

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Differentiation Strategies

• For Struggling Learners: Use physical fraction strips and visual aids extensively; allow extra time; one-on-one mini-sessions if needed.
• For English Language Learners / Dyslexic Students: Use dyslexia-friendly fonts and high-contrast printouts; provide oral instructions; pair with a peer buddy.
• For Advanced Learners: Challenge with multi-step problems, including converting results between improper fractions and mixed numbers, or creating word problems.

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Assessment

• Formative: Observation of class participation, student work on worksheets, peer discussions.
• Summative: Accuracy in independent practice dry erase board problem.
• Exit ticket option: Write one step you find easiest and one step you find difficult when adding or subtracting mixed numbers.

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Reflective Notes for Teacher

• Gauge students’ confidence with conversions: do they prefer improper fractions or mixed numbers?
• Notice if regrouping during subtraction causes confusion; consider a mini-bootstrap lesson if many students struggle.
• Plan to incorporate digital fraction manipulatives or apps in future lessons for interactive learning.

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This lesson plan keeps students engaged, encourages clear communication of fraction concepts, and aligns with Common Core standards, ensuring measurable progress within a standard 30-minute class.