Domain 7.RP, Ratios and Proportional Relationships
Cluster 7.RP.A, Analyze proportional relationships and use them to solve real-world and mathematical problems.
Standard 7.RP.A.1
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction (1/2)/(1/4) miles per hour, equivalently 2 miles per hour.
11 Lessons
13 Activities
Standard 7.RP.A.2
Recognize and represent proportional relationships between quantities.
23 Lessons
32 Activities
Standard 7.RP.A.2.A
Decide whether two quantities are in a proportional relationship, e.g. by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
14 Lessons
15 Activities
Standard 7.RP.A.2.B
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
10 Lessons
9 Activities
Standard 7.RP.A.2.C
Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
9 Lessons
10 Activities
Standard 7.RP.A.2.D
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.
2 Lessons
3 Activities
Standard 7.RP.A.3
Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.
32 Lessons
41 Activities