Lesson 18
Compare Without Multiplying
Lesson Purpose
Lesson Narrative
In this lesson, students continue to compare the size of a product to the size of one of the factors based on the size of the other factor. They also continue to represent these comparisons on the number line. In this lesson there is no longer a context and students interpret the number line diagram in situations where both factors are fractions. Just as they observed in previous lessons, the size of a number becomes greater when multiplied by a fraction greater than 1 and smaller when multiplied by a fraction less than 1. In the next lesson, students will work toward giving a general explanation for these patterns.
 Representation
 MLR7
Learning Goals
Teacher Facing
 Recognize that the product of a fraction and a whole number is less than, equal to, or greater than the whole number when the fraction is correspondingly less than, equal to, or greater than 1.
Student Facing
 Let’s compare expressions, without evaluating them.
Required Preparation
CCSS Standards
Addressing
Lesson Timeline
Warmup  10 min 
Activity 1  15 min 
Activity 2  20 min 
Lesson Synthesis  10 min 
Cooldown  5 min 
Teacher Reflection Questions
Suggested Centers
 Rectangle Rumble (3–5), Stage 5: Fraction Factors (Addressing)
 Rolling for Fractions (3–5), Stage 4: Multiply Fractions (Supporting)
Print Formatted Materials
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Additional Resources
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