| |  | | |  | |  | | | VERTEX AND SLOPE OF LINEAR GRAPH vertex and slope of linear equation , TI89 quadratic equation solver method ,adding subtracting dividing multiplying scientific notation worksheet , solving partial differential equations by factoring
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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
- Solvereal-life 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, 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.
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