Comparing and Scaling

Unit Introduction:

Students will explore many different ways to make comparisons, and they will learn h= ow to decide which comparison method is best in a given situation.<= /span>

Objectives:

In CMP unit, Comparing and Scaling, students will:

Analyze comparison statements made about quantitative data <= /li>
Use ratios, fractions, differences, and percents to form comparison statem= ents in a given situation, such as
“What is the ratio of boys to girls in our class?”
“What fraction of the class is going to the spring picnic?”= ;
“What percent of the girls play basketball?”
“Which model of car has the best fuel economy?”
“Which long-distance telephone company is more popular?”
Judge whether comparison statements make sense and are useful
See how forms of comparison statements are related, for example, a percent= and a fraction comparison
Make judgments about which statements are most informative or best reflect a particular point of view
Decide when the most informative comparison is to find the difference between= two quantities and when it is to form ratios between pairs of quantities
Scale a ratio, rate, or fraction up or down to make a larger or smaller obje= ct or population with the same relative characteristics as the original
Represent related data in tables
Look for patterns in tables that will allow predictions to be made beyond t= he tables
Write an equation to represent the pattern in a table of related variables
Apply proportional reasoning to solve for the unknown part when one part of = two equal ratios is unknown
Set up and solve proportions that arise in applications<= /li>
Recognize that constant growth in a table is related to proportional situations<= o:p>
Connect unit rates with the equation describing a situation =