Multiplying Fractions

Grade Level

5-6 (US Grades)

Duration

45 Minutes

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Standards

Common Core State Standards (CCSS) Addressed:

• 5.NF.B.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
• 5.NF.B.4a: Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b.
• 5.NF.B.4b: Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
• 5.NF.B.4c: Interpret multiplication as scaling (resizing), by comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication.
• 6.NS.A.1: Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. (This is for reference as the unit leads into division.)

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Unit

Fraction Operations Unleashed (Lesson 4 of 5)

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Lesson Title

Multiplying Fractions: The Process Unveiled

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Learning Objectives

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

• I can multiply proper fractions, improper fractions, and mixed numbers using the visual model and standard algorithm.
• I can multiply the numerators and denominators to find the product of two fractions.
• I can use area models to demonstrate the multiplication of fractions.
• I can convert mixed numbers to improper fractions to multiply and then simplify the product.

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Success Criteria

Students will demonstrate success when:

• They correctly multiply numerators and denominators of fractions and mixed numbers.
• They explain the multiplication process using visual models (area or rectangular models).
• They convert between mixed numbers and improper fractions accurately during multiplication.
• Their answers are simplified or converted back to mixed numbers when appropriate.

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Materials Needed

• Whiteboard and markers
• Fraction strips or fraction tiles sets (for hands-on visual models)
• Worksheet with fraction multiplication problems (including mixed numbers)
• Individual dry-erase boards and markers (for student work)
• Fraction multiplication area model templates (printed or drawn on paper)
• Timer

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Lesson Outline

1. Introduction & Review (5 minutes)

• Objective: Activate prior knowledge and set the stage for new content.
• Briefly review what fractions are and what multiplication means (revisit prior lessons on fractions and multiplication basics).
• Ask: "What happens when you multiply a whole number by a fraction?" (Quick recap)
• Introduce today’s learning goals using “I can…” statements. Write them clearly on the board.

2. Explore: Visual Models for Multiplying Fractions (15 minutes)

• Show an area model example of multiplying two fractions (e.g., 2/3 × 3/4).
  • Draw a rectangle divided into thirds horizontally, shade 2/3.
  • Subdivide vertically into fourths, shade 3/4.
  • The overlapping shaded area represents the product.
• Use fraction strips/tiles for kinesthetic learners to physically represent the fractions and overlap them to see the product.
• Ask students to work in pairs to build the area model and find the product on their dry erase boards using the example 1/2 × 3/5.
• Discuss how multiplying numerators corresponds to shaded overlapping parts and multiplying denominators corresponds to total parts in the whole.

3. Develop: Algorithm for Multiplying Fractions (10 minutes)

• Teach students the standard algorithm for multiplying fractions:
  • Multiply numerator × numerator
  • Multiply denominator × denominator
• Model this with the previous examples used with the area model.
• Discuss the importance of simplifying the product or converting improper fractions back to mixed numbers.
• Demonstrate multiplying mixed numbers step-by-step:
  • Convert mixed number to improper fraction
  • Multiply using the algorithm
  • Simplify or convert back.
• Students complete 3 multiplication problems on worksheet independently or with peer help:
  1. 3/5 × 2/3
  2. 1 1/4 × 2/3
  3. 7/6 × 3/4

4. Practice & Application (10 minutes)

• Rotate through a “Multiplying Fractions Relay”:
  • Each student receives a small problem to solve on their whiteboards, then passes it to the next student for the next problem.
• Encourage students to use the area model or the algorithm as they prefer, reinforcing understanding.
• Teacher circulates, checking work and offering extra support to students needing help.

5. Closure & Reflection (5 minutes)

• Discuss: "What is different/similar about multiplying fractions compared to whole numbers?"
• Students share one “I can” statement and self-assess their understanding (thumbs up/sideways/down).
• Review success criteria and remind how today’s lesson connects to the upcoming lesson on dividing fractions.

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Differentiation Strategies

Learner Type	Strategy
Struggling Learners	Use more concrete visual aids (fraction strips, tiles). Provide step-by-step guided practice. Use peer support in pairs.
English Language Learners (ELLs)	Use visual word walls with key vocabulary (“numerator,” “denominator,” “product”) and gestures during instruction. Use bilingual resources if available.
Advanced Learners	Challenge with multi-step problems requiring simplification or application to real-world contexts (e.g., recipe adjustments). Encourage explaining reasoning verbally or in writing.

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Extension Activities

• Introduce word problems involving multiplication of mixed numbers with real-life contexts (e.g., cooking, measuring).
• Investigate multiplying fractions larger than 1 (improper fractions) with area and number line models.
• Explore the connection between repeated addition and fraction multiplication for conceptual depth.
• Create a student “Fraction Multiplication Comic Strip” to illustrate the process creatively.

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Assessment

• Formative: Observation during practice and relay activities to check for conceptual and procedural understanding.
• Exit ticket: One multiplication problem of mixed numbers or improper fractions to solve and simplify correctly before leaving class.

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Teacher Reflection Notes

• Monitor student engagement with visual vs. algorithmic methods and adapt next lesson accordingly.
• Consider pairing students strategically for peer support in practice sessions.
• Use student responses to exit ticket to identify topics needing review before Lesson 5.

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This detailed plan ensures adherence to CCSS, offering a rich, multi-modal approach perfect for encouraging deep conceptual understanding and procedural fluency in fraction multiplication.