7th Grade Math

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PART ADEB C

Variation

Multi-Part

Lesson 3

GLE 0706.3.6

Conceptualize the meanings

of slope using various

interpretations,

representations, and

contexts. SPI 0706.1.3

Recognize whether

information given in a table,

graph, or formula suggests a

directly proportional, linear,

inversely proportional, or

other nonlinear relationship.

Also addresses GLE 0706.1.5,

GLE 0706.1.8, SPI 0706.3.5.

404 Linear Functions

Main Idea

Compare and contrast

proportional and

nonproportional linear

functions.

Proportional and

Nonproportional Relationships

In this activity, you will use models to explore two different functions.

Using centimeter cubes, arrange the cubes in towers as

shown in the diagrams below.

Pattern A B

Figures

Figure Number 0 1 2 3 0 1 2 3

Let x represent the figure number and y represent the

number of centimeter cubes in each tower. Copy and

complete the table below for each pattern. Then graph

the data on separate coordinate planes.

x Process y

0 1 2 3 4 x

Number of Squares

8

4

0

12

16

Figure Number

2846 10

the Results

1. Compare and contrast the models, processes, and graphs of
   Patterns A and B.


2. Which pattern represents a proportional relationship? Which
   represents a nonproportional relationship? How can you tell this
   from the data shown in the table? from the graph?

404_415_C07_L3_895130.indd 404 12/31/09 4:32 PM