1101 Concept of Function
Students will be able to…

Identify if a relationship is a function and justify with the definition of a function.

Demonstrate proper use of function notation.
Given any of the four representations of a function, (algebraic, table, graph, contextual), students will be able to …

Identify independent and dependent variables.

Identify domain and range using interval or inequality notation.
**for all functions not listed in 1102
1102 Families of Functions
Students will be able to identify, solve for, and/or interpret the characteristics of each family of functions as appropriate (linear(L), exponential(E), logarithmic(G), power(P), polynomial(Y), quadratic(Q)):

Intercepts

Rates of Change

Asymptotes

End Behavior

Domain and Range (using interval or inequality notation).

Maximum and Minimum
Given any of the four representations of a function, students will be able to …

Identify the function family

Match to an equivalent representation

Create an equivalent representation
Students will be able to write the equation for

A linear function (from the vertical intercept and a rate OR from two points)

A piecewise function (from a table, graph or context)

An exponential function (from the vertical intercept and a rate, from the vertical intercept and another point, or from financial information)

A power function (from context)
Given any of the four representation of a function, students will be able to identify and apply simple transformations:

Horizontal/vertical shifts

Horizontal/vertical axis reflections
1103 Modeling with technology
Given data, students will be able to …

Identify the most appropriate model based both on technology and the context of the situation and justify reasoning.

Use technology (regression) to find a curve of best fit.
1104 Algebraic Manipulation
Students will be able to perform the following manipulative skills and interpret the results:

Given input, find output.

Given output, find input.
Students will be able to perform the following manipulative skills with algebraic expressions and equations:

Use the rules of integer and rational exponents to simplify simple expressions.

Rewrite a logarithmic equation into exponential form and vice versa.

Factor simple equations.
1105 Systems
Given a system of linear equations…

Write equations for the system (in standard or slopeintercept form).

Solve and interpret the results of a system of equations both graphically and algebraically.
Given a system of inequalities…

Write the system of inequalities.

Solve the system graphically.
1106 Composition and Inverses

Perform a composition of two functions both with specific numbers and with variables.

Find the inverse of a given function using proper inverse function notation.

Given a context and a function such as t1(4)=20, a student will be able to interpret the equation in context.
1107 General Mathematical Skills

Explain complex mathematical concepts and procedures using appropriate mathematical terminology.

Organize and update a math portfolio as directed in a portfolio.