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CartesianPlane  Finddistance between two points in the Cartesian Plane.
 Usethe Distance formula to solve Geometry and reallife 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 yintercepts 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 pointslope form equation of a line.
 Findslopeintercept 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 Reallife functions.
 Solvean application problem involving Reallife 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
 Solvereallife problems involving quadratic functions.
PolynomialFunctions of Higher Degree  Classifypolynomial functions as constant, linear, quadratic, cubic, etc.
 Applythe Leading Coefficient Test to determine right and left behavior ofthe graph of a polynomial function
 Find the real zeros of polynomial by factoring
 Write the equation of a polynomial given its roots and apoint on the graph.
PolynomialDivision  Dividepolynomials using long division.
 Divise polynomials using syntheticdivision.
 Use the Remainder Theorem to evaluate a polynomial.
 Use the Factor Theorem to factor a polynomial.
 RealZeros of Polynomials  Findall possible rational zeros of a polynomial function using the RationalZero Test.
 Findall real zeros of a polynomial function algebraically.
 Approximatethe real zeros of a polynomial function using the Intermediate ValueTheorem.
 Approximatethe real zeros of a polynomial using a graphing utility.
 Write the equation of a polynomial given its roots and apoint on the graph.
ComplexNumbers  Add, subtract, multiply, and divide complex numbers.
 Write a complex number in standard form.
 Solvea quadratic equation involving complex zeros.
PolynomialFunctions  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, xintercept,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.
