Access Point #: MAFS.912.F-IF.2.AP.6b

Describe the rate of change of a function using numbers.

Essential Understandings


  • Locate coordinate pairs.
  • Identify the concepts of steepness, rise and fall in real-life contexts (e.g., ramps, roofline, stairs, escalators).
  • Pair domain with “run” and range with “rise.”

    Image of stairs with rise and run labels.Image of rise, run, and slope labels.

    Different equations listed, with their corresponding input/output chart data, graph, and slope determinations.
  • Understand the following related vocabulary: domain, range, rise, rise over run, fall, steepness, ratio, increase, decrease, positive, negative, y-intercept and x-intercept.
  • Identify coordinate pairs on a coordinate plane.
  • Identify the concepts of steepness, rise, and fall in visual images (e.g., pictures of ramps, roofline, stairs, escalators).
  • Understand that “rise over run” means vertical change over horizontal change begin mathsize 12px style open parentheses increment y space divided by space increment x close parentheses. end style
    begin mathsize 12px style m space equals space fraction numerator y 2 space minus space y 1 over denominator x 2 space minus space x 1 end fraction end style
General Information
Number: MAFS.912.F-IF.2.AP.6b
Category: Access Points
Date Adopted or Revised: 07/14
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.

Related Standards

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200310: Algebra 1
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1200370: Algebra 1-A
1200380: Algebra 1-B
1200400: Foundational Skills in Mathematics 9-12
1206330: Analytic Geometry
1200500: Advanced Algebra with Financial Applications
1200410: Mathematics for College Success
1200700: Mathematics for College Algebra
7912070: Access Liberal Arts Mathematics
7912080: Access Algebra 1A
7912090: Access Algebra 1B
1200315: Algebra 1 for Credit Recovery
1200335: Algebra 2 for Credit Recovery
1200375: Algebra 1-A for Credit Recovery
1200385: Algebra 1-B for Credit Recovery
1207300: Liberal Arts Mathematics 1
7912075: Access Algebra 1
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

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