Unit One: FUNCTIONS |
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I can Determine whether a given relation is a function.
I can Evaluate functions.
I can Identify the domain and range of a relation or function.
I can Perform operations with functions
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I can Find composites of functions.
I can Iterate functions using real numbers. |
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I can Graph linear equations.
I can Find the x- and y-intercepts of a line.
I can Find zeros of linear functions. |
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I can Find the slope of a line through two points.
I can Investigate the effect of changing the value of m or b in y= mx+ b.
I can Write linear equations. |
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I can Write equations of parallel and perpendicular lines.
I can Draw and analyze scatter plots
I can Write a prediction equation and draw best-fit lines. |
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I can Use a graphing calculator to compute correlation coefficients to determine goodness of fit.
I can Solve problems using prediction equation models. |
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I can Identify and graph piecewise functions including greatest integer, step, and absolute value functions.
I can Graph linear inequalities. |
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I can Solve systems of equations graphically.
I can Solve systems of equations algebraically.
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I can Solve systems of equations involving three variables algebraically. |
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I can Model data using matrices.
I can Add, subtract, and multiply matrices.
I can Evaluate determinants.
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I can Find inverses of matrices.
I can Solve systems of equations by using inverses of matrices.
I can Find reduced row-echelon form of an augmented matrix to solve systems of equations. |
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I can Graph systems of inequalities.
I can Find the maximum or minimum value of a function defined for a polygonal convex set. |
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I can Use algebraic tests to determine whether the graph of a relation is symmetrical.
I can Classify functions as even or odd.
I can Sketch graphs of related functions.
I can Identify transformations of simple graphs. |
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I can Solve absolute value inequalities.
I can Graph polynomial, absolute value, and radical inequalities in two variables.
I can Determine inverses of relations and functions.
I can Graph functions and my inverses. |
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I can Construct and graph functions with gap discontinuities.
I can Determine whether a function is continuous or discontinuous.
I can Determine whether a function is increasing or decreasing on an interval.
I can Identify the end behavior of functions. |
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I can Find the extrema of a function.
I can Graph rational functions.
I can Determine vertical, horizontal, and slant asymptotes. |
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I can Use algebraic tests to determine whether the graph of a relation is symmetrical.
I can Classify functions as even or odd.
I can Sketch graphs of related functions.
I can Identify transformations of simple graphs. |
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I can Solve absolute value inequalities.
I can Graph polynomial, absolute value, and radical inequalities in two variables.
I can Determine inverses of relations and functions.
I can Graph functions and my inverses. |
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I can Construct and graph functions with gap discontinuities.
I can Determine whether a function is continuous or discontinuous.
I can Determine whether a function is increasing or decreasing on an interval.
I can Identify the end behavior of functions. |
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I can Find the extrema of a function.
I can Graph rational functions.
I can Determine vertical, horizontal, and slant asymptotes. |
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Unit Two: POLYNOMIALS and
RATIONAL FUNCTIONS |
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I can Determine roots of polynomial equations.
I can Apply the Fundamental Theorem of Algebra.
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I can Solve quadratic equations.
I can Use the discriminant to describe the roots of 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.
I can Determine the number of positive and negative real roots a polynomial function has.
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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.
I can Decompose a fraction into partial fractions.
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I can Solve radical equations and inequalities. |
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I can Write polynomial functions to model real-world data.
I can Use polynomial functions to interpret real-world data.
I can Use matrices to find a polynomial function whose graph passes through a given set of points in the coordinate plane.
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Unit Three: EXPONENTIAL and
LOGARITHMIC FUNCTIONS |
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I can Use the properties of exponents.
I can Evaluate and simplify expressions containing rational exponents.
I can Solve equations containing rational exponents. |
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I can Graph exponential functions and inequalities.
I can Solve problems involving exponential growth and decay. |
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I can Use the exponential function y =e^x |
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I can Evaluate expressions involving logarithms.
I can Solve equations and inequalities involving logarithms.
I can Graph logarithmic functions and inequalities. |
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I can Find common logarithms and antilogarithms of numbers.
I can Solve equations and inequalities using common logarithms.
I can Solve real-world applications with common logarithmic functions. |
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I can Find natural logarithms of numbers.
I can Solve equations and inequalities using natural logarithms.
I can Solve real-world applications with natural logarithmic functions.
I can Investigate the relationship between area of regions below the graph of
y = 1/x and natural logarithms. |
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I can Find the doubling time of an exponential quantity.
I can Find exponential and logarithmic functions to model real world data.
I can Linearize data. |
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Unit Four: Serries and PROBABILITY |
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I can Find the nth term and arithmetic means of an arithmetic sequence.
I can Find the sum of n terms of an arithmetic series |
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I can Find the nth term and geometric means of a geometric sequence.
I can Find the sum of n terms of a geometric series. |
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I can Find the limit of the terms of an infinite sequence.
I can Find the sum of an infinite geometric series.
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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.
I can Use Euler's Formula to write the exponential form of a complex number. |
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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.
I can organize data into a frequency distribution table. |
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I can find the mean, median, mode of a set of data.
I can find the measures of central tendencies of data in stem and leaf plot of table. |
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I can find the interquartiles and standard deviation.
I can organize and compare data using box and whisker. |
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I can use the normal distribution curve.
I can use the standard normal curve to study properties of normal distribution. |
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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.
I can Find the sum of n terms of an arithmetic series |
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I can Find the nth term and geometric means of a geometric sequence.
I can Find the sum of n terms of a geometric series. |
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I can Find the limit of the terms of an infinite sequence.
I can Find the sum of an infinite geometric series.
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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.
I can Use Euler's Formula to write the exponential form of a complex number. |
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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.
I can Distinguish between dependent and independent events. |
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I can Solve problems involving permutations or combinations.
I can Solve problems involving permutations with repetitions.
I can Solve problems involving circular permutations. |
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I can Find the probability of an event.
I can Find the odds for the success and failure of an event.
I can Find the probability of independent and dependent events. |
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I can Identify mutually exclusive events.
I can Find the probability of mutually exclusive and inclusive events. |
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I can Find the probability of an event given the occurrence of another event.
I can Find the probability of an event by using the Binomial Theorem. |
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I can draw, analyze, and use bar graphs and hectographs.
I can organize data into a frequency distribution table. |
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I can find the mean, median, mode of a set of data.
I can find the measures of central tendencies of data in stem and leaf plot of table. |
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I can find the interquartiles and standard deviation.
I can organize and compare data using box and whisker.
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I can use the normal distribution curve.
I can use the standard normal curve to study properties of normal distribution. |
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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 |
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I can find the midpoint of a segment on the coordinate plane.
I can find the distance between two points on the coordinate plane. |
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I can write equations of parabolas in standard form.
I can graph parabolas. |
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I can write equations of circles.
I can graph circles. |
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I can write equations of ellipses.
I can graph ellipses. |
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I can write equations of hyperbolas.
I can graph hyperbolas.
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I can write equations of conic sections in standard form.
I can identify conic sections and my equations. |
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I can solve systems of linear and non-linear equations algebraically and graphically.
I can solve systems of linear and non-linear equations graphically. |
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I can Recognize conic sections in my rectangular form by my equations.
I can Find a rectangular equation for a curve defined parametrically and vice versa. |
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I can Find the equations of conic sections that have been translated or rotated.
I can Graph rotations and/or translations of conic equations.
I can Identify the equations of conic sections using the discriminant.
I can Find the angle of rotation for a given equation. |
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I can Graph and solve systems of second degree equations and inequalities.
I can Graph a system of second-degree inequalities using the Shade command. |
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Unit Six : Limits |
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I can approximate the slope of a curve.
I can find derivatives and antiderivatives of polynomial functions.0
I can use derivatives and antiderivatives in applications |
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I can find values of integrals of polynomial functions.
I can find areas under graphs of polynomial functions. |
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I can use the Fundamental Theorem of Calculus to evaluate definite integral polynomial functions.
I can find indefinite integrals of polynomial functions. |
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I can calculate limits of polynomial and rational functions algebraically.
I can evaluate limits of functions using a calculator. |
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I can calculate limits of polynomial and rational functions algebraically.
I can evaluate limits of functions using a calculator. |
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I can approximate the slope of a curve.
I can find derivatives and antiderivatives of polynomial functions.
I can use derivatives and antiderivatives in applications |
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I can find values of integrals of polynomial functions.
I can find areas under graphs of polynomial functions. |
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I can use the Fundamental Theorem of Calculus to evaluate definite integral polynomial functions.
I can find indefinite integrals of polynomial functions. |
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