7.AT.A: Represent and reason about proportional relationships to solve problems.

Represent and reason about proportional relationships to solve problems.

7.AT.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. Example: If a person walks mile in each hour, compute the unit rate as the complex fraction miles per hour, or equivalently 2 miles per hour.7.AT.A.2Identify proportional relationships between quantities. a. Determine whether two quantities are in a proportional relationship, for example, by testing for equivalent ratios in a table or by graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and narrative descriptions of proportional relationships.7.AT.A.3Represent proportional relationships between quantities. a. Represent proportional relationships using equations. b. Explain what a point (x, y) on the graph of a proportional relationship represents in terms of the context, with special attention to the points (0, 0) and (1, r), where r is the unit rate.7.AT.A.4Solve ratio and percent problems in context (e.g., simple interest, tax, markups and markdowns, tips, commissions, fees, percent increase or decrease, and percent error) by applying proportional reasoning.

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