Unit 2, Lesson 11
Use Factors to Find Equivalent Fractions
Grade 4
Preparation
Lesson Purpose
The purpose of this lesson is for students to generate equivalent fractions numerically, by using factors and multiples of the numerator and denominator.
Lesson Narrative
In earlier lessons, students saw that one way to generate equivalent fractions is by grouping unit fractions on a number line into larger units. For instance, 12 twelfths could be put in groups of 3 to make 4 equal parts, each part being a fourth. Or they could be put into groups of 2 to make 6 equal parts, each part being a sixth, which means that
Students have also generated equivalent fractions and verified equivalence by multiplying the numerator and denominator by the same number. In this lesson, they find equivalent fractions by dividing
- Explain (orally and using words or other representations) how to generate equivalent fractions.
- Match (orally) equations and number line diagrams that represent strategies for generating equivalent fractions by reasoning about division.
- Let’s find equivalent fractions by working with numerators and denominators.
Required Preparation
Activity 3
- Create a set of Fraction Galore cards from the blackline for each group of 3.
Teacher Reflection Questions
What evidence did you see of students choosing a method strategically as they generated equivalent fractions? For students who chose a fixed way regardless of the given fractions, what questions could you ask them to prompt them to be more strategic?
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