7.RP Ratios and Proportional Relationships
More Grade 7 Standards |
Analyze proportional relationships and use them to solve real-world and mathematical problems
7.RP.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. Aligned Resources
7.RP.2. Recognize and represent proportional relationships between quantities. Aligned Resources
a. Decide whether two
quantities are in a proportional relationship, eg, 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.
b. Identify the constant of proportionality (unit rate) in tables,
graphs, equations, diagrams and verbal descriptions of proportional
relationships.
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
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.
7.RP.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. Aligned Resources