Ratios And Proportional Relationships

Outcomes

  • 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.
      Examples
    • 7.RP.2
      Recognize and represent proportional relationships between quantities.
      Examples
    • 7.RP.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.
      Examples
    • 7.RP.2.b
      Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
      Examples
    • 7.RP.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.
      Examples
    • 7.RP.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.
      Examples
    • 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.
      Examples