professorclark.net Calculus 
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CalculusStandards for PreCalculus EOC in PreCalculus 
Unit One: FUNCTIONS 
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I can Find composites of functions. 
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I can Graph linear equations. 
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I can Find the slope of a line through two points. 
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I can Write equations of parallel and perpendicular lines.

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I can Use a graphing calculator to compute correlation coefficients to determine goodness of fit. 
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I can Identify and graph piecewise functions including greatest integer, step, and absolute value functions. 
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I can Solve systems of equations graphically. 
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I can Solve systems of equations involving three variables algebraically. 
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I can Model data using matrices. 
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I can Find inverses of matrices. 
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I can Graph systems of inequalities. 
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I can Use algebraic tests to determine whether the graph of a relation is symmetrical. 
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I can Solve absolute value inequalities. 
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I can Construct and graph functions with gap discontinuities. 
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I can Find the extrema of a function. 
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I can Use algebraic tests to determine whether the graph of a relation is symmetrical. 
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I can Solve absolute value inequalities. 
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I can Construct and graph functions with gap discontinuities. 
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I can Find the extrema of a function. 
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Unit Two: POLYNOMIALS and 

I can Determine roots of polynomial equations.

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I can Solve quadratic equations. 
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I can Find the factors of polynomials using the Remainder and Factor Theorems. 
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I can Identify all possible rational roots of a polynomial equation by using the Rational Root Theorem. 
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I can Approximate the real zeros of a polynomial function. 
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I can Solve rational equations and inequalities. 
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I can Solve radical equations and inequalities. 
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I can Write polynomial functions to model realworld data. 
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Unit Three: EXPONENTIAL and 

I can Use the properties of exponents. 
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I can Graph exponential functions and inequalities. 
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I can Use the exponential function y =e^x 
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I can Evaluate expressions involving logarithms. 
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I can Find common logarithms and antilogarithms of numbers. 
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I can Find natural logarithms of numbers. 
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I can Find the doubling time of an exponential quantity. 
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Unit Four: Serries and PROBABILITY 

I can Find the nth term and arithmetic means of an arithmetic sequence. 
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I can Find the nth term and geometric means of a geometric sequence. 
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I can Find the limit of the terms of an infinite sequence. 
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I can Determine whether a series is convergent or divergent. 
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I can Use sigma notation. 
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I can Use the Binomial Theorem to expand binomials. 
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I can Approximate trigonometric values, and logarithms of negative numbers by using series. 
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I can Iterate functions using real and complex numbers. 
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I can Use mathematical induction to prove the validity of mathematical statements. 
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I can draw, analyze, and use bar graphs and hectographs. 
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I can find the mean, median, mode of a set of data. 
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I can find the interquartiles and standard deviation. 
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I can use the normal distribution curve. 
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I can find the standard error of the mean to predict the true mean of a population with a certain level of confidence. 
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I can Find the nth term and arithmetic means of an arithmetic sequence. 
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I can Find the nth term and geometric means of a geometric sequence. 
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I can Find the limit of the terms of an infinite sequence. 
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I can Determine whether a series is convergent or divergent. 
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I can Use sigma notation. 
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I can Use the Binomial Theorem to expand binomials. 
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I can Approximate trigonometric values, and logarithms of negative numbers by using series. 
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I can Iterate functions using real and complex numbers. 
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I can Use mathematical induction to prove the validity of mathematical statements. 
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I can Solve problems related to the Basic Counting Principle. 
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I can Solve problems involving permutations or combinations. 
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I can Find the probability of an event. 
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I can Identify mutually exclusive events. 
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I can Find the probability of an event given the occurrence of another event. 
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I can draw, analyze, and use bar graphs and hectographs. 
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I can find the mean, median, mode of a set of data. 
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I can find the interquartiles and standard deviation.

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I can use the normal distribution curve. 
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I can find the standard error of the mean to predict the true mean of a population with a certain level of confidence. 
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Unit Five: ANALYTIC GEOMETRY 

I can find the midpoint of a segment on the coordinate plane. 
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I can write equations of parabolas in standard form. 
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I can write equations of circles. 
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I can write equations of ellipses. 
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I can write equations of hyperbolas. 
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I can write equations of conic sections in standard form. 
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I can solve systems of linear and nonlinear equations algebraically and graphically. 
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I can Recognize conic sections in my rectangular form by my equations. 
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I can Find the equations of conic sections that have been translated or rotated. 
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I can Graph and solve systems of second degree equations and inequalities. 
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Unit Six : Limits 

I can approximate the slope of a curve. 
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I can find values of integrals of polynomial functions. 
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I can use the Fundamental Theorem of Calculus to evaluate definite integral polynomial functions. 
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I can calculate limits of polynomial and rational functions algebraically. 
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I can calculate limits of polynomial and rational functions algebraically. 
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I can approximate the slope of a curve. 
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I can find values of integrals of polynomial functions. 
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I can use the Fundamental Theorem of Calculus to evaluate definite integral polynomial functions. 
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