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MAFS.912.F-IF.2.6

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. ?
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Interpreting Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Interpret functions that arise in applications in terms of the context. (Algebra 1 - Major 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.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark will be assessed using: MC item(s)
    Also assesses: MAFS.912.S-ID.3.7
  • Assessment Limits :
    Items requiring the student to calculate the rate of change will give a
    specified interval that is both continuous and differentiable.

    Items should not require the student to find an equation of a line.

    Items assessing S-ID.3.7 should include data sets. Data sets must
    contain at least six data pairs. The linear function given in the item
    should be the regression equation.

    For items assessing S-ID.3.7, the rate of change and the y-intercept
    should have a value with at least a hundredths place value.

    Items assessing F-IF.2.6 should not be linear.

  • Calculator :

    Neutral

  • Clarification :
    Students will calculate the average rate of change of a continuous
    function that is represented algebraically, in a table of values, on a
    graph, or as a set of data.

    Students will interpret the average rate of change of a continuous
    function that is represented algebraically, in a table of values, on a
    graph, or as a set of data with a real-world context.

    Students will interpret the y-intercept of a linear model that
    represents a set of data with a real-world context. 

  • Stimulus Attributes :
    Items may require the student to apply the basic modeling cycle.

    Items should be set in a real-world context.

    Items must use function notation.

    Items may require the student to choose and interpret variables.

  • Response Attributes :
    Items may require the student to choose an appropriate level of
    accuracy.

    Items may require the student to choose and interpret the scale in a
    graph.

    Items may require the student to choose and interpret units.

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question:

    The graph shows the number of acres, in millions, of farmland in the United States from 1975 to 2008.

    Which statement describes the average rate of change of the graph?

  • Difficulty: N/A
  • Type: MC: Multiple Choice