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Math Analysis
Standards for Pre-Calculus    EOC in Pre-Calculus
Standards for Trigonometry
       EOC in Trigonometry   

 

Section

Chapter one: Student Learner ObjectivesBook: Advanced Mathemaytical Concepts by Glenco

 

1-1

Chapter one is review of Algebra II
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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1-2

I can Find composites of functions.
I can Iterate functions using real numbers.

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1-3

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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1-4

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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1-5

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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1-6


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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1-8

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 show off my knowledge on the chapter one assessment.

 
 

Section

Chapter Two: Student Learner Objectives

 

 

2-1


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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2-3

I can Model data using matrices.

I can Add, subtract, and multiply matrices.
I can Evaluate determinants.

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2-5

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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2-6

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 show off my knowledge on the chapter two assessment.

 

 

Section

Chapter Three: Student Learner Objectives

 

3-1
3-2

Chapter three is review of Algebra II
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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3-3
3-4

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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3-5

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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3-6
3-7

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 show off my knowledge on the chapter assessment.

 
 

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Section

Chapter Four: Student Learner Objectives

 

4-1

I can Determine roots of polynomial equations.

I can Apply the Fundamental Theorem of Algebra.


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4-2

I can Solve quadratic equations.
I can Use the discriminant to describe the roots of quadratic equations.

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4-3

I can Find the factors of polynomials using the Remainder and Factor Theorems.

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4-4

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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4-5

I can Approximate the real zeros of a polynomial function.

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4-6

I can Solve rational equations and inequalities.
I can Decompose a fraction into partial fractions.

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4-7

I can Solve radical equations and inequalities.

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4-8

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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I can review for the chapter assessment.

 

4-T

I can show off my knowledge on the chapter four assessment.

 
 

 

Section

CCSS

NCTM

Chapter Five - Student Learner Objectives

 

5-1

F.TF.A.1

3,6

I can Convert decimal degree measures to degrees, minutes, and seconds and vice versa.

I can Find the number of degrees in a given number of rotations.

I can Identify angles that are coterminal with a given angle.

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5-2

F.TF.A.2
F.TF.A.3

3,6

I can Find the values of trigonometric ratios for acute angles of right triangles.

 

 

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5-3

F.TF.A.2
F.TF.A.3

3,6

I can Find the values of six trigonometric functions using the unit circle.
I can Find the values of six trigonometric functions of an angle in standard position given a point on its terminal side.

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5-4

F.TF.A.1
F.TF.A.3

2,3,6

I can Use trigonometry to find the measures of the sides of right triangles.

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5-5

F.TF.B.7

2,3,6,9

I can Evaluate inverse trigonometric functions.
I can Solve right triangles.
I can Find missing angle measurements.

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5-6

F.TF.B.7

3,6,9,10

I can Solve triangles by using the Law of Sines if the measures of two angles and a side are given.
I can Find the area of a triangle if the measures of two sides and the included angle or the measures of two angles and a side are given.

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5-7

F.TF.B6

3,6,7,9

I can Determine whether a triangle has zero, one, or two solutions.
I can Solve triangles using the Law of Sines.

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5-8

F.TF.A.1
F.TF.A.2

3,6,9

I can Solve triangles by using the Law of Cosines.
I can Find the area of triangles if the measure of the three sides are given.
I can Use a program to solve triangles.

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5-R

 

 

I can review for the chapter assessment.

 

5-T

 

 

I can show off my knowledge on the chapter five assessment.

 
 

Section

Chapter Six: Student Learner Objectives

 

6-1

I can Change from radian measure to degree measure, and vice versa
I can Find the length of an arc given the measure of the central angle
I can Find the area of a sector.

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6-2

I can Find linear and angular velocity.

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6-3

I can Use the graphs of the sine and cosine functions.

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6-4

I can Find the amplitude and period for sine and cosine functions.
I can Write equations of sine and cosine functions given the amplitude and period.

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6-5

I can Find the phase shift and the vertical translation for sine and cosine functions.
I can Graph compound functions.

I can Write the equations of sine and cosine functions given the amplitude, period, phase shift, and vertical translation.

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6-6

I can Model real-world data using sine and cosine functions.
I can Use sinusoidal functions to solve problems.

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6-7

I can Graph tangent, cotangent, secant, and cosecant functions.
I can Write equations of trigonometric functions.

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6-8

I can Use a graphing calculator to model beat effects produced by waves of almost equal frequencies.

I can Graph inverse trigonometric functions.

I can Find principal values of inverse trigonometric functions

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6-R

I can review for the chapter assessment.

 

6-T

I can show off my knowledge on the chapter six assessment.

 
 

Section

Chapter Seven: Student Learner Objectives

 

7-1

I can Identify and use reciprocal identities, quotient identities,
I can Pythagorean identities, symmetry identities, and opposite-angle identities.

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7-2

I can Find numerical values of trigonometric functions
I can Use the basic trigonometric identities to verify other identities.

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7-3

I can Use the sum and difference identities for the sine, cosine, and tangent functions.

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7-4

I can Identify equivalent values for trigonometric functions involving quadrantal angles.

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7-5

I can Use the double- and half-angle identities for the sine, cosine, and tangent functions.
I canSolve trigonometric equations and inequalities

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7-6

I can Write the standard form of a linear equation given the length of the normal and the angle it makes with the x-axis.
I can Write linear equations in normal form.

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7-7

I can Find the distance from a point to a line.
I can Write equations of lines that bisect angles formed by intersecting lines.

I can Find the distance between two parallel lines.

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7-R

I can review for the chapter assessment.

7-T

I can show off my knowledge on the chapter seven assessment.

 

Section

Chapter Eight : Student Learner Objectives

 

8-1

I can Find equal, opposite, and parallel vectors.

I can Add and subtract vectors geometrically.

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8-2

I can Find ordered pairs that represent vectors.

I can Add, subtract, multiply, and find the magnitude of vectors algebraically.

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8-3

I can Add and subtract vectors in three-dimensional space.

I can Find the magnitude of vectors in three-dimensional space.

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8-4

I can Find the inner and cross products of two vectors.

I can Determine whether two vectors are perpendicular.
I can Use a graphing calculator program to obtain the components of the cross product of two vectors in space.

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8-5

I can Solve problems using vectors and right triangle trigonometry.

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8-6

I can Write vector and parametric equations of lines.

I can Graph parametric equations.
I can Investigate the use of parametric equations.

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8-7

I can Model the motion of a projectile using parametric equations.
I can Solve problems related to the motion of a projectile, its trajectory, and range.


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8-8

I can Transform three-dimensional figures using matrix operations to describe the transformation.

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8-R

I can review for the chapter assessment.

8-T

I can show off my knowledge on the chapter eight assessment.

 

Section

Chapter Nine : Student Learner Objectives

 

9-1

I can Graph points in polar coordinates.
I can Graph simple polar equations.

I can Determine the distance between two points with polar coordinates.

Polar Calculator

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9-2

I can Graph polar equations.



 

Polar Calculator

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9-3

I can Convert between polar and rectangular coordinates.

Polar Calculator

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9-4

I can Write the polar form of a linear equation.
I can Graph the polar form of a linear equation.

Polar Calculator

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9-5

I can Add, subtract, multiply, and divide complex numbers in rectangular form.


Polar Calculator

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9-6

I can Graph complex numbers in the complex plane.

I can Convert complex numbers from rectangular to polar form and vice versa.
I can Explore geometric relationships in the complex plane.

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9-7

I can Find the product and quotient of complex numbers in polar form.

Polar Calculator

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9-8

I can Find powers and roots of complex numbers in polar form using De Moivre's Theorem.


Polar Calculator

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9-R

I can review for the chapter assessment.

 

9-T

I can show off my knowledge on the chapter nine assessment.

 
 

Section

Chapter Ten: Student Learner Objectives

 

10-1

I can Find the distance and midpoint between two points on a coordinate plane,
I can Prove geometric relationships among points and lines using analytical methods.

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10-2

I can Use and determine the standard and general forms of the equation of a circle.

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10-3

I can Use and determine the standard and general forms of the equation of an ellipse.

I can Graph ellipses.

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10-4

I can Use and determine the standard and general forms of the equation of a hyperbola.
I can Graph hyperbolas.

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10-5

I can Use and determine the standard and general forms of the equation of a parabola.
I can Graph parabolas.

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10-6

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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10-7

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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10-8

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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I can review for the chapter assessment.

 

10-T

I can show off my knowledge on the chapter ten assessment.

 
 

Section

Chapter Eleven: Student Learner Objectives

 

11-1

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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11-2

I can Graph exponential functions and inequalities.
I can Solve problems involving exponential growth and decay.

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11-3

I can Use the exponential function y =e^x

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11-4

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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11-5

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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11-6

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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11-7

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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I can review for the chapter assessment.

 

11-T

I can show off my knowledge on the chapter eleven assessment.

 
 

Section

Chapter Twelve: Student Learner Objectives

 
12-1

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 review for the chapter assessment.

 

12-test

I can show off my knowledge on the chapter twelve assessment.

 
 

 

Section

Chapter Thirteen: Student Learner Objectives

 

13-1

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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13-3

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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13-5

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 show off my knowledge on the chapter thirteen assessment.

 
 

Section

Chapter Fourteen - Student Learner Objectives

 

14-1

I can draw, analyze, and use bar graphs and hectographs.
I can organize data into a frequency distribution table.

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14-2

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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14-3

I can find the interquartiles and standard deviation.
I can organize and compare data using box and whisker.

 

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14-4

I can use the normal distribution curve.
I can use the standard normal curve to study properties of normal distribution.

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14-5

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 review for the chapter assessment.

 

14-T

I can show off my knowledge on the chapter fourteen assessment.

 
 

Section

Chapter Fifteen: Student Learner Objectives

 

15-1

I can calculate limits of polynomial and rational functions algebraically.

I can evaluate limits of functions using a calculator.

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15-2

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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15-3

I can find values of integrals of polynomial functions.

I can find areas under graphs of polynomial functions.

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15-4

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 review for the chapter assessment.

 

15-T

I can show off my knowledge on the chapter fifteen assessment.

 
 

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