Use function notation to evaluate a composition of functions.
Alg I -
Alg II – Given two functions find values of composites of those functions.
Identify the shape of the graph of each of several elementary functions (polynomiall, rational, absolute value, square root, exponential, logarithmic, trigonometric, and piecewise defined).
Alg I – Using a graphing calculator show students various graphs and ask them to identify type.
(A1 3.2) (A1 8.1)
Alg II – Use graphing calculator to graph various functions and identify the type of function based on the shape of the graph.
(A2 3.4) (A2 7.1)
Trig/PreCalc – Given various graphs, identify type of function – may use graphing calculator
(PC 1.8) (PC 1.5)
(PC 2.3) (PC 4.5)
Identify the domain, range, and intercepts of each of the above-listed elementary functions.
Alg I – Use a graphing calculator to create a table of ordered pairs and find the intercepts of various functions.
Alg II – Use graphing calculator to identify domain, range and intercepts of various functions.
(A2 1.4) (A2 3.4)
Trig/PreCalc – Use graphing calculator to identify domain, range and intercepts of various functions.
(PC 4.6) (PC 2.3) (PC 1.8)
Interpret and investigate functions whether they are represented in graphic, numeric, or algebraic form.
Alg I – Given a relation, students will decide if a given relation is a function and link equations to functions.
Alg II – Draw the graph of the function that relates the weight of a letter to the cost of postage.
(A2 1.8) (A2 1.7)
Trig/PreCalc – Construct a graph and write a function to show decrease in ticket prices
HIGH SCHOOL COURSES PREREQUISITE SKILLS WORKSHEET FOR CALCULUS
Riverton Parke Jr-Sr High
Activity Objectives for Grade/Course
Recognize the effect of transformations (such as vertical and horizontal shifts, vertical and horizontal stretches, and reflections) on the shape and location of the graph of a function.
Alg I -
Geom – Use a graphing calculator to show shifts, shape of name graphs
Alg II -
Trig/PreCalc – Given 2 functions, explain how to obtain one graph from another.