Ratios and Proportional Relationships
Unit description: In this unit, students will learn to extend knowledge of proportional relationships and ratios related to scale drawings and other real-world situations. They will represent a relationship between two quantities by identifying a constant of proportionality or unit rate. They will also apply proportional relationships and ratios to percent problems.
Essential Outcomes of the Unit
Ratios and Proportional Relationships
Analyze proportional relationships and use them to solve real-world and mathematical problems.
- 7.RP.1 Compute unit rates associated with ratios of fractions.
- 7.RP.2 Recognize and represent proportional relationships between quantities.
- 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Note: Examples of percent problems include: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, and percent error.
Other Standards Addressed in the Unit
Ratios and Proportional Relationships
Analyze proportional relationships and use them to solve real-world and mathematical problems.
- 7.RP.2a Decide whether two quantities are in a proportional relationship.
- 7.RP.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
- 7.RP.2c Represent a proportional relationship using an equation.
- 7.RP.2d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
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