Lesson 6
Problems with Equal Groups of Fractions
Lesson Purpose
The purpose of this lesson is for students to apply their understandings about multiplication of a fraction by a whole number to solve problems.
Lesson Narrative
Students may choose to draw diagrams, write equations, or make use of patterns to understand the situations and answer the questions. As students make sense of representations and quantities in context, they practice reasoning quantitatively and abstractly (MP2).
 Engagement
 MLR7
Learning Goals
Teacher Facing
 Represent and solve problems involving multiplication of a fraction by a whole number.
Student Facing
 Let’s solve problems with fractions.
Required Materials
Materials to Gather
Required Preparation
Activity 2:
 Write the 5 expressions from the activity on separate posters and post them around the room:
\(4 \times (2\times \frac{1}{10})\)
\(4 \times \frac{2}{10}\)
\(8 \times \frac{1}{10}\)
\(2 \times (4 \times \frac{1}{10})\)
\(2 \times \frac{4}{10}\)
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
What new mathematical connections did you see students make today as they were solving problems about multiplication of fractions? How can those connections be leveraged in upcoming work?
Suggested Centers
 Rolling for Fractions (3–5), Stage 2: Multiply a Fraction by a Whole Number (Addressing)
 Estimate and Measure (1–4), Stage 3: Quarter Inches (Supporting)
 Target Measurements (2–5), Stage 2: Quarter Inches (Supporting)
Print Formatted Materials
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Additional Resources
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