Goals of the Unit
Ratios, Rates and Percents:
- Understand ratios, rates and percents.
- Use ratios, rates, fractions, differences, and percents to write statements in a given situation comparing two quantities
- Distinguish between and use both part-part and part-whole ratios in comparisons
- Use percents to express ratios and proportions
Proportionality:
- Represent and Recognize Proportionality in Tables, Graphs and Equations
- Recognize that constant growth in a table or in a graph is related to proportional situations
- Write an equation to represent the pattern in a table of proportionally related variables
- Connect a unit rate and constant of proportionality to the equation describing a proportional situation
- Connect unit rate and constant of proportionality to a graph representing a proportional situation.
Reasoning Proportionally:
- Recognize situations in which proportional reasoning is appropriate to solve the problem
- Scale a ratio, rate, percent, or fraction to make an equivalent ratio or rate (including unit rate), or to make a comparison.
- Strategically find equivalent rates (including unit rates) and ratios to solve problems
- Apply various strategies to solve for the unknown part when one part of two equal ratios is unknown, including scaling, rate tables, unit rates, equivalent ratios.
- Set up and solve proportions that arise in applications, for example, finding percents in the context of discounts and markups, converting measurement units.