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A2-F-1-6

Page history last edited by Tashe Harris 6 years, 2 months ago

A2.F.1.6 Graph a rational function and identify the x- and y-intercepts, vertical and horizontal asymptotes, using various methods and tools that may include a graphing calculator or other appropriate technology. (Excluding slant or oblique asymptotes and holes.)

In a Nutshell

Students will be able to identify and analyze critical points and characteristics of a rational function given an equation or a graph.

Student Actions	Teacher Actions
Students will develop the ability to interpret the mathematical and situational meaning of critical points and key characteristics of a rational function. Students will develop a deep and flexible understanding of the meaning of each critical point and key characteristic in a rational function while making mathematical and real-world connections.	Implement tasks for students to build procedural fluency from conceptual understanding of the properties of a rational function and how the properties relate to the graph. Provide students with a variety of opportunities to investigate, collaborate and develop pathways and generalizations for identifying properties of rational functions. Elicit and use evidence of student thinking by providing students with properties of a rational function through various means (ie graph, desmos, graphing calculator, table, etc) and allow students to predict possible rational function. Allow time for students to explain and justify their course of action. Allow students to collaboratively generalize how the properties relate to the graph.
Key Understandings	Misconceptions
Understand how an asymptote affects a rational function and why. Use a graphing calculator or other technology to graph rational functions. Identify x- and y- intercepts on a rational graph. Identify vertical and horizontal asymptotes on a rational graph.	Students misidentify x- and y-intercepts. Students do not understand the concept of asymptotes. When using a graphing calculator, students get an incomplete solution because they do not adjust the window to get a full picture of the graph.