2. Functions:Students will understand the basic algebraic functions in terms of fundamental concepts such as rate of change, input/output variables, domain & range, and parameters, and use multiple representations of functions.

Students will: A. Understand basic algebraic functions (linear, exponential, and power).
For example: Students will represent exponential, linear, and power functions in symbolic, graphic, and numeric forms.Students will identify the input and output variables, including correct measurement units and proper replacement sets when appropriate.

B. Represent situations with either a discrete or continuous model, as appropriate.
For example: For a given situation, students will identify when the replacement set for the input consists of integers, rational numbers, or some other set, and whether this set is finite(bounded) in size.

C. Understand basic properties of functions, such as rate of change and the effect of parameters.
For example:Students will describe the rates of changes of each basic function.Using technology, students will find a rate of change at a given input value and a given delta x.Students will understand the effect of changing basic parameters in each function type.

D. To prepare for STEM pathways, these outcomes might be needed:Identifying relations that are not functions; understanding radical functions (indices 2 and 3) including domain & range; understanding rational functions (generally limited to quotients of two terms) including domain; understanding basic conic sections (parabola, circle and ellipse in particular).

2. Functions:Students will understand the basic algebraic functions in terms of fundamental concepts such as rate of change, input/output variables, domain & range, and parameters, and use multiple representations of functions.Students will:

A. Understand basic algebraic functions (linear, exponential, and power).For example: Students will represent exponential, linear, and power functions in symbolic, graphic, and numeric forms.Students will identify the input and output variables, including correct measurement units and proper replacement sets when appropriate.

B. Represent situations with either a discrete or continuous model, as appropriate.For example: For a given situation, students will identify when the replacement set for the input consists of integers, rational numbers, or some other set, and whether this set is finite(bounded) in size.

C. Understand basic properties of functions, such as rate of change and the effect of parameters.For example:Students will describe the rates of changes of each basic function.Using technology, students will find a rate of change at a given input value and a given delta x.Students will understand the effect of changing basic parameters in each function type.

D. To prepare for STEM pathways, these outcomes might be needed:Identifying relations that are not functions; understanding radical functions (indices 2 and 3) including domain & range; understanding rational functions (generally limited to quotients of two terms) including domain; understanding basic conic sections (parabola, circle and ellipse in particular).