5. Essential Questions:
• What types of real life problems can be solved using
proportions?
• What does the graph of a proportional relation look like?
6. Real Life Connections:
You can apply proportional reasoning to many everyday
applications. For example, sand artists often use a ratio
of 1 part water to 8 parts sand when building their
sculptures. By using proportional reasoning, an artist
can determine that the number of buckets of water
required for 40 buckets of sand.
7. Unit Overview:
Proportional reasoning is the ability to think about and
compare multiplicative relationships between quantities.
In this unit, you will analyze changes in tables, equations,
and graphs of lines to determine proportionality. You will
determine characteristics of proportional relationships
given in multiple representations, such as verbal,
numerical, algebraic, and graphical. You will explore how a
change in one representation affects another
representation. You will determine that a relationship is
proportional if the ratio of the y-coordinate to the x-
coordinate for each point on a line stays the same and the
line goes through the origin.
8. Prior Knowledge:
To be successful in this unit, you need to have worked with
graphs, tables, and equations. You should be familiar with
the coordinate plane and how to plot ordered pairs on a
coordinate plane. You should also be able to make a table
and graph given an equation.
9. Vocabulary:
Cross product
Proportional
Non-Proportional
Rate
Ratio
Unit Rate
Slope
Constant of Proportionality
11. • You know and understand the vocabulary
• You can identify the graphical features of a
proportional relationship
• You can display all of the possibilities in a
proportional relationship by graphing
• You can state in words the proportional
relationship shown in a graph
• You can calculate the unit rate of a graph
12. • You can compare proportional relationships
displayed in different forms