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Subjects
Grades
Common Core: Math
CCLS  Math: F.IF.7.b
 Category
 Interpreting Functions
 SubCategory
 Analyze Functions Using Different Representations
 State Standard:
 Graph square root, cube root, and piecewisedefined functions, including step functions and absolute value functions.
11 Results

 In Topic C, students explore the families of functions that are related to the parent functions, specifically for quadratic (f(x) = x2), square root (f(x) = the square root of x), and cube root (f(x...

 Student Outcomes Students compare two different quadratic, square root, or cube root functions represented as graphs, tables, or equations. They interpret, contextualize and abstract various...

 Student Outcomes Students make a connection between the symbolic and graphic forms of quadratic equations in the completedsquare (vertex) form. They efficiently sketch a graph of a quadratic...

 Student Outcomes Students recognize and use parent functions for absolute value, quadratic, square root, and cube root to perform transformations that stretch and shrink the graphs of the functions...

 Student Outcomes Students recognize and use parent functions for linear, absolute value, quadratic, square root, and cube root to perform vertical and horizontal translations. They identify how the...

 Student Outcomes Students compare the basic quadratic (parent) function, y = x2, to the square root function and do the same with cubic and cube root functions. They then sketch graphs of square...

 Student Outcomes Students create piecewise and step functions that relate to reallife situations and use those functions to solve problems. Students interpret graphs of piecewise and step functions...

 Student Outcomes Students apply their understanding of transformations of functions and their graphs to piecewise functions.

 Student Outcomes Students examine that a horizontal translation of the graph of y = f(x) corresponds to changing the equation from y = f(x) to y = f(x  k).

 Student Outcomes Students discover that the multistep and exact way of solving 2x  5 = 3x + 1 using algebra can sometimes be avoided by recognizing that an equation of the form f(x) = g(x) can...

 Student Outcomes Students examine the features of piecewise functions including the absolute value function and step functions. Students understand that the graph of a function f is the graph of the...