• 01/23/14   |   Adjusted: 01/10/17   |   1 file

# Identifying Proportional and Non-Proportional Relationships in Graphs

Author: Great Minds, as featured on EngageNY

• Description
• Files

Mathematically:

• Requires students to make connections between the different representations of a situation, and requires students to create tables from ratios in various formats
• Requires students to use multiple methods and reasoning to determine whether a relationship is proportional; provides examples and non-examples
• Allows students to draw conclusions based on mathematical evidence

In the classroom:

• Offers an engaging exploration that connects students' procedural skill and conceptual understanding to real-live situations
• Gives students the opportunity to work collaboratively in groups
• Provides students with an opportunity to critique each other's work
• Gives formal and informal opportunities for teachers to check for understanding
• Includes a problem set that can be used for homework or for additional practice, as well as an exit ticket that summarizes the mathematics of the lesson

• Making the Shifts

How does this lesson exemplify the instructional Shifts required by CCSSM?

 Focus Belongs to the major work of seventh grade Coherence Builds on key understandings of ratios, rates, and unit rates (6.RP.A), and prior understanding of proportional relationships in grade 7 Rigor This lesson touches on all three aspects of rigor: conceptual understanding, procedural skill and fluency, and application.
This activity has students think about the structure of the situations to determine whether a proportional relationship exists, as opposed to using the traditional method of “cross-multiplying” for solving proportions ($a$/$b$ = $c$/$d$). For more insight on the grade-level concepts addressed in this lesson, read page 8 of the progression document, Grade 6–7, Ratios and Proportional Relationships.