(7) Lab Inquiry - Proportional and Non-Proportional Relationships

1. HOW are proportional and
nonproportional linear
relationships alike? HOW are
they different?
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-6

2. • 7.RP.2
Recognize and represent proportional relationships between
quantities.
• 7.RP.2a
Decide whether two quantities are in a proportional relationship,
e.g., by testing for equivalent ratios in a table or graphing on a
coordinate plane and observing whether the graph is a straight line
through the origin.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
4 Model with mathematics.
Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-6 Common Core State Standards © Copyright 2010. National Governors Association Center
for Best Practices and Council of Chief State School Officers. All rights reserved.

3. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-6
Activity
continued

Albert and Bianca joined an online discussion group. Each student
posted four comments. The number of replies to each of their
comments is shown in the table. Determine if each data set represents
a proportional relationship.
Arrange centimeter cubes to model the number of replies per
comment as shown in the diagram below.

4. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-6
Albert and Bianca joined an online discussion group. Each student posted four
comments. The number of replies to each of their comments is shown in the
table. Determine if each data set represents a proportional relationship.
Complete each table. Then graph the
data on the coordinate plane. You may
wish to use a different color pencil for
each data set.

5. Ratios and Proportional Relationships
Course 2, Inquiry Lab before Lesson 1-6
HOW are proportional and
nonproportional linear
relationships alike? HOW
are they different?