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Chapter one: Student Learner Objectives

 

expressions
formulas

I can use the order of operations to evaluate expressions.
I can use formulas.

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number systems

I can classify real numbers.
I can use the properties of real numbers to evaluate expressions.
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equations

I can translate verbal expressionsto algebraic equations. ( vv)
I can solve equations involving the property of equality.       
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absolute value

I can evaluate expressions involving absolute value.
I can solve absolute value equations.
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mu;ti -step equations

I can solve one-step inequalities.
I can solve multi-step inequalities.
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compound equations

I can solve compound inequalities.
I can solve absolute value inequalities.
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Chapter Two: Student Learner Objectives

 

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.
MY VIDEO SLOPE INT.     MY VIDEO POINT SLOPE 

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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

 

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

 

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.
pinterest imaginary/complex

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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

 

exponents and powers

 

 
 

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

 

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

 
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 Eight: Student Learner Objectives

 

Rational functions

I can simplify rational expressions.
I can simplify complex fractions.

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I can determine the LCM of polynomials.
I can add and subtract rational expression.

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I can determine properties of reciprocal functions.
I can graph transformations of reciprocal functions.

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I can graph rational functions with vertical and horizontal asymptotes .
I can graph rational functions with oblique asymptotes and point difficulty .

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I can solve direct and joint variation problems.
I can recognize and solve inverse and combined variation problems.

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I can solve rational equations.
I can solve rational inequalities.

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Chapter Nine: Student Learner Objectives

 

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

 

series
sequences

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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Probability
stats

Chapter Eleven - Student Learner Objectives
Missouri Learning Standards MA 6-12 2016

 

 

I can classify types of statistical studies.

I can design statistical studies.

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I can use the shapes of distributions to select appropiate statistics.

I can use the shapes of distribution to compare data.

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I can construct a probability distribution.

I can analyze a probability distribution and the summary statistics.

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I can identify and construct a binomial expoeriment.

I can finding probabilities using a binomial distribution.

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I can use the empirical rule to analyze normal distributed variables.

I can apply the standard normal distribution and z-values.

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I can find confidence intervals for normally distributed data.

I can perform hypothesis test on normally distributed data.

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Chapter Twelve: Student Learner Objectives

 

 
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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Chapter Thirteen: Student Learner Objectives

 

trig identies

I can use trigometric identies to find trigometric values.

I can use trigometric identies to simplify expressions.

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I can verify trigometric identies by transforming one side of an equation .

I can verify trigometric identies by transforming each side of an equation .

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I can find values of sine and cosine by using sum and difference identies.

I can verify trigometric identies of sine and cosine by using sum and difference identies.

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I can find values of sine and cosine by using double angle identies.

I can find values of sine and cosine by using half-angle identies.

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I can solve trigometric equations.

I can find extraneous solutions from trigometric equations.

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Required Legal Stuff:  The links above and the adds on those pages are not under the control of myself, our school system,
or our web host. They are offered as an educational courtesy, and we assume no responsiblity for them. The WEB is a live and
constantly changing enviroment! So if you find a video link that does not work, has changed, wants a credit card number, or is
inappropiate please inform me.         R. Clark