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This lesson was created for my Algebra 1 classes. I was designed to coordinate with Section 4.2 of the Prentice Hall CA Algebra 1 textbook. The lesson explains the difference between relations and function using ordered pairs, mappings, and graphs. It shows how to use the Vertical Line test also. This PowerPoint also explains domain and range. It introduces function notation, and shows students how to evaluate a function for specific values.

It addresses standards:

CA Algebra 1 Standard 16.0

Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.

CA Algebra 1 Standard 17.0

Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.

CA Algebra 1 Standard 18.0

Students determine whether a relation defined by a graph, a set of ordered pairs, or symbolic expression is a function and justify the conclusion.

CA Common Core Standards:

FUNCTIONS

Define, evaluate, and compare functions

A.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

A.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

Note: Math Type 3.0 and/or Math Type 5.0 was used to create the slides.

It addresses standards:

CA Algebra 1 Standard 16.0

Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.

CA Algebra 1 Standard 17.0

Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.

CA Algebra 1 Standard 18.0

Students determine whether a relation defined by a graph, a set of ordered pairs, or symbolic expression is a function and justify the conclusion.

CA Common Core Standards:

FUNCTIONS

Define, evaluate, and compare functions

A.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

A.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

Note: Math Type 3.0 and/or Math Type 5.0 was used to create the slides.

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