Access Point #: MAFS.912.F-BF.1.AP.1a (Archived Access Point)


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Select a function that describes a relationship between two quantities (e.g., relationship between inches and centimeters, Celsius Fahrenheit, distance = rate x time, recipe for peanut butter and jelly- relationship of peanut butter to jelly f(x)=2x, where x is the quantity of jelly, and f(x) is peanut butter.

Clarifications:

Essential Understandings

Concrete:

  • Describe representations of model proportional relationships.
Representation:
  • Understand proportional relationships.
  • Understand the following related vocabulary: quantity, function and relationship.

Number: MAFS.912.F-BF.1.AP.1a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Build a function that models a relationship between two quantities. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.F-BF.1.1: Write a function that describes a relationship between two quantities.
  1. Determine an explicit expression, a recursive process, or steps for calculation from a context.
  2. Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
  3. Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.



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