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Domain-Subdomain #: MAFS.8.F.1.3Archived Standard

Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s² giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

Domain-Subdomain Information

General Information

Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Functions
Cluster: Define, evaluate, and compare functions. (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
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Formative Assessments

  • What Am I? Students are asked to describe a linear function, its graph, and the meaning of its parameters.
  • Nonlinear Functions Students are asked to provide an example of a nonlinear function and explain why it is nonlinear.
  • Linear or Nonlinear? Students are asked to identify a function as either linear or nonlinear and to justify their decision.
  • Explaining Linear Functions Students are asked to describe defining properties of linear functions.

Lesson Plans

  • Beginning Linear Functions This lesson is designed to introduce students to the concept of slope. Students will be able to:
    • determine positive, negative, zero, and undefined slopes by looking at graphed functions.
    • determine x- and y-intercepts by substitution, or by examining graphs.
    • write equations in slope-intercept form and make graphs based on slope/y-intercept of linear functions.
  • Functions: Are They Linear or Non-Linear? In this lesson, students will investigate 5 different functions to see if they are linear or non-linear. They will then analyze the functions in groups. After that they will present their results and reasoning.

Original Student Tutorials

Perspectives Video: Professional/Enthusiast

Problem-Solving Task

  • Introduction to Linear Functions This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions.

Tutorials

Collections

MFAS Formative Assessments

  • Explaining Linear Functions Students are asked to describe defining properties of linear functions.
  • Linear or Nonlinear? Students are asked to identify a function as either linear or nonlinear and to justify their decision.
  • Nonlinear Functions Students are asked to provide an example of a nonlinear function and explain why it is nonlinear.
  • What Am I? Students are asked to describe a linear function, its graph, and the meaning of its parameters.

Original Student Tutorials Mathematics - Grades 6-8

Original Student Tutorials Mathematics - Grades 9-12

  • Summer of FUNctions Have some fun with FUNctions! Learn how to identify linear and non-linear functions in this interactive tutorial.
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