Unit 3, Lesson 2
Represent Unit Fraction Multiplication
Grade 5
Preparation
Lesson Narrative
In the previous lesson, students drew diagrams to represent a unit fraction of another unit fraction in context. The purpose of this lesson is for students to draw diagrams representing products of unit fractions and to examine the relationship between expressions and diagrams in greater depth. Students examine different methods for representing unit fraction products with a diagram and they interpret how a diagram represents a given expression.
The shaded region of this diagram represents both and . In future lessons, this diagram will be used to represent multiplication expressions and equations because of its flexibility.
Student generated diagrams may be different.
In this diagram, we see . We would need to change the diagram to show more clearly. We could do this by extending the partition lines all the way across.
- Representation
None
- Compare and contrast (orally and in writing) diagrams that represent $\frac{1}{B}\times \frac{1}{D}$ and $\frac{1}{D}\times \frac{1}{B}$.
- Describe (orally and in writing) how diagrams and expressions represent the product of 2 unit fractions.
- Let’s write expressions to represent multiplication of unit fractions.
Required Preparation
None
Teacher Reflection Questions
What did you say, do, or ask during the Lesson Synthesis that helped students be clear on the learning of the day? How did understanding the Cool-down of the lesson before you started teaching today help you synthesize that learning?