Lesson 11
Usemos factores para encontrar fracciones equivalentes
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 \(\frac{12}{12} = \frac{4}{4} = \frac{6}{6}\). Some students may have related these observations to the fact that \(12 \div 4 = 3\) and \(12 \div 2 = 6\). 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 \(a\) and \(b\) by a factor \(n\) that is common to both numbers.
- Engagement
- MLR8
Learning Goals
Teacher Facing
- Generate equivalent fractions by using factors of the numerator and denominator.
- Reason about fraction equivalence numerically, by using multiples or factors of the numerator and denominator.
Student Facing
- Trabajemos con numeradores y denominadores para encontrar fracciones equivalentes.
Required Materials
Materials to Copy
- Fractions Galore
Required Preparation
Activity 3:
- Create a set of Fraction Galore cards from the blackline for each group of 3.
CCSS Standards
Addressing
Lesson Timeline
Warm-up | 10 min |
Activity 1 | 20 min |
Activity 2 | 15 min |
Activity 3 | 15 min |
Lesson Synthesis | 10 min |
Cool-down | 5 min |
Teacher Reflection Questions
Suggested Centers
- Get Your Numbers in Order (1–5), Stage 4: Denominators 2, 3, 4, 5, 6, 8, 10, 12, or 100 (Addressing)
- Mystery Number (1–4), Stage 4: Fractions with Denominators 5, 8, 10, 12, 100 (Addressing)
Print Formatted Materials
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Student Task Statements | docx | |
Lesson Cover Page | docx | |
Cool Down | Log In | |
Teacher Guide | Log In | |
Teacher Presentation Materials | docx | |
Blackline Masters | zip |