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Functions {Definition, One-to-One, Notation, & Graph Shapes-Lines & Quadratics}

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Functions, Functions, Functions {Definition of Functions, One-to-One Functions, Function Notation, and Graph Shapes of Linear Functions and Quadratic Functions}

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Introduce the idea of a function beginning with the definition of a function and the definition of a one-to-one function with a closer look of how to identify both in a table and on a graph. Transition into function notation with a fun hands-on activity utilizing a function machine. This activity of having to learn how to use function notation and evaluate various functions for given values is a self-checking activity which allows students to practice this concept in a math center, in cooperative learning groups, or individually at their desk. A blank pattern sheet is also included so that additional functions, input values, and output values can be created by the teacher. Students can also create their own functions, input values, and output values and allow a partner or group members to check their work. The packet concludes with the identification of the shapes of graphs for linear functions with a positive slope, negative slope, and a zero slope as well as quadratic functions that open up and those that open down.

Topics include:
*Definition of a function
*How to identify a function based on a table of values
*Using the Vertical Line Test to identify a function based on a graph
*Definition of a one-to-one function
*How to identify a one-to-one function based on a table of values
*Using a Horizontal Line Test to decide if a function is also one-to-one
*The use of function notation
*How to evaluate a function using function notation
*A self-checking activity requiring students to evaluate various functions at specified values, including other variables
*The shapes of linear functions with a positive slope, negative slope, and a zero slope
*The shapes of quadratic functions opening up and opening down

Complete teaching keys and instructions for the activities are given. Please download a preview if you would like to see more details about the activity.

#functions #onetoone #notation #graphs
Total Pages
13
Answer Key
Included
Teaching Duration
4 Days

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Functions {Definition, One-to-One, Notation, & Graph Shape
Functions {Definition, One-to-One, Notation, & Graph Shape
Functions {Definition, One-to-One, Notation, & Graph Shape
Functions {Definition, One-to-One, Notation, & Graph Shape