A2.F.1.7 Graph a radical function (square root and cube root only) and identify the x and yintercepts using various methods and tools that may include a graphing calculator or other appropriate technology.
In a Nutshell
Students will be able to identify and analyze critical points and characteristics of a square root and cube root functions given an equation or a graph.
Student Actions

Teacher Actions


Students will identify the critical points and characteristics of radical functions given a graph, table, set of data or function equations. Students will be able to communicate the mathematically the situational meaning of critical points and key characteristics.
 Students will develop a deep and flexible understanding of the meaning of each critical point and key characteristic in a radical function, making mathematical and realworld connections.


Implement tasks that use visual models to support studentsâ€™ understanding of x and yintercepts on a radical function graph.

Pose purposeful questionsthat go beyond gathering information to probe thinking and require explanation and justification when identifying properties of radical functions..

Build procedural fluency from conceptual understanding of the properties of function and how they apply to radical functions. Select tasks that provide multiple entry points for tasks on graphing calculators and other appropriate technology.

Engage students in making connections among mathematical representations by providing students with tasks that involve radical functions in various forms such as graphs, equations, tables, data points, and words.
 Allow time for students to investigate, collaborate, analyze, and generalize the similarities and differences in the graphs of square root and cube root functions and the effects transformations have on square root and cube root parent functions (this may include technology).

Key Understandings

Misconceptions


Graph square root and cube root functions using various methods and tools, including desmos, a graphing calculator or other technology.

Identify x and yintercepts and key characteristics of square root and cube root functions.

Recognize the effects of transformations on the parent functions


Students do not recognize that a cube root function can have a negative radicand and do not graph the negative aspect of the graph.

When using a graphing calculator, students may not see the full graph because the window is set too small.

Students mistakenly try to use a negative radicand in a square root function.

Students misidentify x and yintercepts.

OKMath Framework Introduction
Algebra 2 Grade Introduction
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