Multiplying Fractions Made Easy
Year 7 Mathematics WALT: We Are Learning To multiply fractions using visual models and algorithms Duration: 30 minutes
WALT: We Are Learning To
Multiply fractions using visual models Apply the multiplication algorithm for fractions Simplify fraction products to lowest terms Solve real-world problems involving fraction multiplication
Success Criteria
I can draw visual models to show fraction multiplication I can multiply numerators together and denominators together I can simplify my answers to lowest terms I can explain my thinking using mathematical language
What Does Multiplication Mean?
Multiplication means 'groups of' or 'parts of' 3 × 4 means '3 groups of 4' = 12 1/2 × 1/3 means '1/2 of 1/3' We're finding a fraction OF another fraction
Visual Model Activity: 1/2 × 1/3
Draw a rectangle and divide it into 3 equal parts Shade 1/3 of the rectangle Now divide the rectangle into 2 equal rows How much is shaded in both directions?
The Multiplication Algorithm
Step 1: Multiply the numerators together Step 2: Multiply the denominators together Step 3: Simplify if possible Example: 1/2 × 1/3 = (1×1)/(2×3) = 1/6
Differentiation Strategies
{"left":"Visual learners: Use fraction circles, rectangles, and area models\nStruggling learners: Start with unit fractions (1/2, 1/3, 1/4)","right":"Advanced learners: Try mixed numbers and improper fractions\nKinesthetic learners: Use physical fraction manipulatives and hands-on activities"}
Practice Together: 2/3 × 3/4
Draw your visual model first Apply the multiplication algorithm Check: Do both methods give the same answer? Simplify your final answer
Extension Challenge
A recipe calls for 3/4 cup of flour You want to make 2/3 of the recipe How much flour do you need? Can you solve this using both visual models AND the algorithm?
Key Learning Summary
Fraction multiplication means finding 'part of a part' Visual models help us understand what's happening Algorithm: multiply numerators, multiply denominators Always check if your answer can be simplified Both methods should give the same result