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CartesianPlane

Finddistance between two points in the Cartesian Plane.

Usethe Distance formula to solve Geometry and real-life applicationproblems.

Findthe Midpoint of the segment joining two points in the Cartesian Plane.

Usethe Midpoint formula to solve application problem.

Graphsof Equations

Determinewhether a point lies on the graph of an equation.

Sketchgraphs using a table of values and a graphing utility.

Findthe x and y-intercepts of the graph of an equation(algebraically and graphically).

Determinethe symmetry of the graph of an equation (algebraically andgraphically).

Writethe General Form Equation of a circle in Standard Form and determinethe center and radius of the circle.

GraphingUtilities

Linesin the plane

Determinethe slope of a line passing through two points.

Findthe point-slope form equation of a line.

Findslope-intercept form equation of a line and sketch the line.

Determineif lines are parallel or perpendicular using slope.

Writeequation of a line parallel or perpendicular to a given line.

LinearModeling

Constructlinear models.

Uselinear models with slope as the rate of change.

Finda linear model that fits a set of data (Linear Regression).

Functions

Determineif an equation or a set of ordered pairs represents a function.

Usefunction notation.

Evaluatea function.

Findthe domain of a function.

Interpretinput and output of Real-life functions.

Solvean application problem involving Real-life functions.

Graphsof Functions

Find the domain and range using the graph of a function.

Vertical Line Test.

Describe the increasing and decreasing behavior of afunction.

Classify a function as even or odd.

Identify six common graphs.

Transformationsof Functions

Describe how a graph has been changed from the originalusing common transformations.

Sketch the graph of a function using the common graphs andtransformations.

Write the equation of a function using common graphs andtransformations.

Algebraof Functions

Find the sum, difference, product, and quotient of functions

Find the composition of two functions

Determine the domain of two combined functions

Determine the functions which have been composed to make upa given function

Solve real life problems involving the combination(addition,subtraction, multiplication, division, and/or composition) of twofunctions

InverseFunctions

Determineif a function has an inverse function (Horizontal Line Test).

Findthe Inverse of a function.

Grapha function and its Inverse.

Restrictingthe Domain to Create a Function with an Inverse Function

QuadraticFunctions

Sketchthe graph of a quadratic function (parabola) and identify its vertexand intercepts (algebraically and graphically).

Writea quadratic function in standard form and identify the vertex from thestandard form.

Findthe quadratic function given the vertex and a point on the graph

Usethe Fundamental Theorem of Algebra and the Linear Factorization Theoremto write a polynomial as the product of linear factors.

Findall real and complex zeros of a polynomial function.

Finda polynomial with integer coefficients whose zeros are given.

Usethe Leading Coefficient Test and the zeros of a polynomial to sketchthe graph of a polynomial.

Applytechniques for approximating real zeros to solve an application problem

RationalFunctions

Findthe domain of a rational function.

Findthe vertical and horizontal asymptotes of the graph of a rationalfunction.

Sketchthe graph of a rational function.

Usea rational function model to solve an application problem

ExponentialFunctions

Sketchthe graph of an exponential function.

Find basic characteristics of an exponential function(domain, range,intercepts, increasing/decreasing behavior).

Writeformulas of transformed exponential functions,

Usean exponential model to solve an application problem (in particular,models involving the natural exponential function and compound interestformulas).

Usethe compound interest formula to solve finance problems.

LogarithmicFunctions

Sketchthe graph of a logarithmic function.

Investigatebasic characteristics of a logarithmic function (domain, x-intercept,vertical asymptote).

Writeformulas of transformed logarithmic functions.

Laws of Logarithms

Usethe change of base formula to evaluate a logarithm.

Applyproperties of logarithms.

Exponentialand Logarithm Equations

SolveLogarithmic and Exponential Equations.

Exponentialand Logarithm Models:

Usea logarithmic model to solve an application problem (in particular,models involving the natural logarithmic function).

Constructand use a model for exponential growth or exponential decay.

Systemsin Two Variables - Substitution

Solvea linear system of equations by the method of substitution.

Solvea nonlinear system of equations by the method of substitution.

Constructand use a linear system of equations to solve an application problem.

Systemsin Two Variables -Graphing

Solvea linear system of equations graphically.

Solvea nonlinear system of equations graphically.

Constructand use a linear system of equations to solve an application problem.

Systemsin Two Variables -Elimination

Solvea linear system of equations by the method of elimination.

Constructand use a linear system of equations to solve an application problem.

SigmaNotation and Factorials

Evaluatea factorial expression.

Usethe summation notation to write the sum of a sequence.

Sequences- Basic Concepts

Findthe terms of a sequence.

Findthe sum of a finite sequence.

Usea sequence to solve an application problem

ArithmeticSequences & Series

Determine whether a sequence isarithmetic or geometric.

Findthe nth term of an arithmetic sequence.

Finda formula for an arithmetic sequence.

Findthe sum of a finite arithmetic series.

Usean arithmetic sequence to solve an application problem.

GeometricSequences and Series:

Determinewhether a sequence is arithmetic or geometric.

Findthe nth term of a geometric sequence.

Finda formula for a geometric sequence.

Findthe sum of a finite geometric series.

Find the sum of an infinite geometric series (wherepossible).

Usea geometric sequence to solve an application problem.