Ratios, Rates, and Percents:
Understand ratios, rates, and percents.Use ratios, rates, fractions, and percents to write statements comparing two quantities in a given situation
Distinguish between and use both part-to-part and part-to-whole ratios in comparisons
Use percents to express ratios and proportions
Recognize that a rate is a special ratio that compares two measurements with different units
Analyze comparison statements made about quantitative data for correctness and quality
Make judgments about which kind of comparison statements are most informative or best reflect a particular point of view in a specific situation
Proportionality:
Understand proportionality in tables, graphs, and equations.Recognize that constant growth in a table, graph, or equation is related to proportional situations
Write an equation to represent the pattern in a table or graph of proportionally related variables
Relate the unit rate and constant of proportionality to an equation, graph, or table describing a proportional situation
Reasoning Proportionally:
Develop and use strategies for solving problems that require proportional reasoning.Recognize situations in which proportional reasoning is appropriate to solve the problem
Scale a ratio, rate, percent, or fraction to make a comparison or find an equivalent representation
Use various strategies to solve for an unknown in a proportion, including scaling, rate tables, percent bars, unit rates, and equivalent ratios
Set up and solve proportions that arise from real-world applications, such as finding discounts and markups and converting measurement units
As you work on the Problems in this Unit, ask yourself these questions about situations that involve comparisons.
What quantities are being compared?
Why does the situation involve a proportional relationship (or not)?
How might ratios, rates, or a proportion be used to solve the problem?
Comparing and Scaling - Explanation of Concepts for Those Helping at Home - Connected Mathematics 3 Resource