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Chapter Two: Student Learner Objectives
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relations and functions |
I can analyze relations and functions.
I can use equations of relations and functions.
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I can identify linear relations and functions.
I can write linear relations and functions in standard form.
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slope |
I can find rate of change.
I can determine the slope of a line.
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| point-slope |
I can write the equation of a line given the slope and a point.
I can write the equation of a line parallel or perpendicular to a line.
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scatter plots |
I can use scatter plots and prediction equations.
I can model data using lines of regression.
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piece wise |
I can write and graph piecewise functions.
I can write and graph absolute value functions.
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parent functions |
I can identify and use parent functions.
I can describe transformations of functions.
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inequalities |
I can graph linear inequalities.
I can graph absolute value inequalities.
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Chapter Three: Student Learner Objectives
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equations and graphing |
I can solve systems of equations graphically.
I can solve systems of linear equations algebraically.
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inequalities and graphing |
I can solve systems of inequalities graphically.
I can determine the coordinates of the vertices of a region formed by a graph of a system of inequalities.
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maximium |
I can find the maximum and minimum values over a region.
I can solve real word problems using linear programming. |
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| three variables |
I can solve equations of linear equations in three variables.
I can solve real word problems involving linear equations in three variables. |
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matricies |
I can analyze data in matrices.
I can perform algebraic operations with matrices.
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| determinants |
I can evaluate determinants.
I can solve systems of equations according to Cramer’s rule. |
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inverses |
I can solve matrices by inverses.
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Chapter Four: Student Learner Objectives
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quadratics |
I can graph quadratic functions.
I can find the maximum and minimum of quadratic functions. |
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I can solve quadratic equations by graphing.
I can estimate solutions to quadratic equations by graphing. |
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I can write quadratic equations in standard form.
I can solve quadratic equations by factoring. |
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I can perform operations with pure imaginary numbers.
I can perform operations with complex numbers.
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I can solve quadratic equations by using the square root property.
I can solve quadratic equations by completing the square.
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I can solve quadratic equations by using the quadratic formula.
I can use the discriminate to determine the number and type of roots of the quadratic equations.
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I can write a quadratic function in the form y= a(x-h)2 +k
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I can graph quadratic inequalities in two variables.
I can solve quadratic inequalities in one variable. |
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Chapter Five: Student Learner Objectives
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exponents and powers |
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I can perform operations and expressions involving powers.
I can perform operations and expressions involving polynomials.
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I can divide polynomials using long division.
I can divide polynomials using synthetic division. |
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I can evaluate polynomial expressions.
I can identify general graphs of polynomial expressions.
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I can graph polynomial functions and locate my zeros.
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I can factor polynomials.
I can solve polynomial equations by factoring.
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I can evaluate functions by using synthetic division/substitution.
I can determine whether a binominal is a factor of a polynomial ny using synthetic division/substitution.
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I can determine the number and type of roots for a polynomial expression.
I can find the zeros of a polynomial expression. |
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I can identify possible rational roots/zeros of a polynomial function.
I can find all the rational roots/zeros of a polynomial function.
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Chapter Six: Student Learner Objectives
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compound functions |
I can find the sum, difference, product, and quotient of functions.
I can find the composition of functions
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I can find the inverse of a function or relation.
I can determine whether two functions or relations are inverses.
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I can simplify radicals.
I can use a calculator to approximate radicals.
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I can simplify radical expressions.
I can add, subtract, multiply, and divide radical expressions.
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I can write expressions with rational exponents in radical form and vice versa.
I can simplify expressions in exponential or radical form.
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I can solve equations involving radicals.
I can solve inequalities containing radicals.
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Chapter Seven: Student Learner Objectives
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| exponential functions |
I can graph exponential growth functions.
I can graph exponential decay functions.
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I can solve exponential functions.
I can solve exponential inequalities.
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I can evaluate logarithmic expressions.
I can graph logarithmic expressions.
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I can solve logarithmic equations.
I can solve logarithmic inequalities.
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I can simplify and evaluate expressions using the properties of logarithms.
I can solve logarithmic equations using the properties of logarithms.
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I can solve exponential equations and inequalities using the properties of common logarithms.
I can evaluate logarithmic expressions using the change of base formula. |
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I can evaluate expressions involving the natural base and natural logarithm.
I can solve exponential equations using natural logarithms.
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I can solve problems involving exponential growth and decay.
I can use logarithms to solve problems involving logistic growth.
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Chapter Nine: Student Learner Objectives
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analytic geometry |
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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Chapter Ten: Student Learner Objectives
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series
sequences
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I can relate arithmetic sequences to linear functions.
I can relate geometric sequences to exponential functions. |
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I can use arithmetic sequences.
I can find sums of arithmetic series. |
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I can use geometric sequences.
I can find sums of geometric series |
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I can find the sum of infinite geometric series.
I can write repeating decimals as fractions. |
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I can recognize and use special sequences.
I can iterate functions. |
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I can use pascal's triangle to expand the powers of binomials.
I can use the binomial theorem to expand powers of binomials. |
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I can prove statements by using mathematical induction.
I can disprove statements by finding a counterexample. |
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Chapter Twelve: Student Learner Objectives
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| trigonometry |
I can find values of trigometric functions for acute angles.
I can use trigometric functions to find side lengths and angle measures of right triangles. |
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I can draw and find angles in standard positions.
I can convert between degrees and radians. |
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I can find the values for trig functions for general angles.
I can find the values for trig functions by using reference angles. |
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I can find the area of a triangle using two sides and an included angle.
I can use the law of sines to solve triangles. |
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I can use the law of cosines to solve triangles.
I can choose methords to solve triangles. |
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I can find the values of trigometric functions based on the unit circle.
I can use the properties of periodic functions to evaluate trigometric functions. |
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I can describe and graph the sine, cosine, and tangent functions.
I can describe and graph other trigometric functions. |
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I can graph horizontial translations of trigometric graphs and find phase shifts.
I can graph vertical translations of trigometric graphs. |
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I can find the values of inverse trigometric functions.
I can solve equations by using inverse trigometric functions. |
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