If you're seeing this message, it means we're having trouble loading external resources on our website.

Ако си зад уеб филтър, моля, увери се, че домейните *. kastatic.org и *. kasandbox.org са разрешени.

Основно съдържание

STANDARDS

 > 

US-KS

Math

Kansas Math

Grade 7: Ratios and Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical problems.

7.RP.1

Fully covered
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 (interpreting a complex fraction as division of fractions), equivalently 2 miles per hour.

7.RP.2

Recognize and represent proportional relationships between quantities:

7.RP.2a

Fully covered
Determine 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.

7.RP.2b

Fully covered
Analyze a table or graph and recognize that, in a proportional relationship, every pair of numbers has the same unit rate (referred to as the “m”).

7.RP.2c

Fully covered
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=pm.

7.RP.2d

Fully covered
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

Fully covered
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.