In Comparing and Scaling students will learn how to
- Analyze comparison statements made about quantitative data
- Use ratios, fractions, differences, and percents to form comparison statements 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 object 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 the 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
- Recognize that constant growth in a table is related to proportional situations
- Connect unit rates with the equation describing a situation
