Unit 2, Lesson 11
Usemos factores para encontrar fracciones equivalentes
Grado 4
Preparation
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 . Some students may have related these observations to the fact that and . These insights are formalized and generalized in this lesson.
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 and by a factor that is common to both numbers.
- Engagement
- MLR8
- 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.
- Trabajemos con numeradores y denominadores para encontrar fracciones equivalentes.
Required Preparation
- 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?