COURSE NAME: High School Advanced Math – Functions and Statistics paired with Prep for Math 1021 College Algebra with Trig
(fall semester) and LSU Math 1021 College Algebra (spring semester)
PRIMARY ONLINE
CONTENT SOURCE
Algebra and Trigonometry, 2e, MyMathLab
Kirk Trigsted
COURSE/UNIT CREDIT: 1 Carnegie Unit
GRADE(S): 10, 11, or 12
PREREQUISITE(S): Successful Completion of Algebra II
CHAPTERS FOR PREP FOR MATH 1021 COLLEGE ALGEBRA WITH TRIG
R - Review
1 – Equations and Inequalities
6 - An Introduction to Trigonometric
Functions
7 - The Graphs of Trigonometric
Functions
8 - Trigonometric Identities
9 - Applications of Trigonometry
SECTION NAMES (NUMBER OF EXERCISES) AND LEARNING OBJECTIVES FOR
PREP FOR MATH 1021 COLLEGE ALGEBRA WITH TRIG
CHAPTER R: Review
R.1 Real Numbers (40)
Understand and classify real numbers
Describe sets of numbers using set-builder notation and interval notation
Determine the intersection and union of sets and intervals
Understand absolute value and use it to find distance
R.2 Order of Operations and Algebraic Expressions (56)
Understand the properties of real numbers
Use exponential notation
Use the order of operations to simplify numeric and algebraic expressions
R.3 Laws of Exponents; Radicals (75)
Simplify exponential expressions involving integer exponents
Simplify radical expressions
Simplify exponential expressions involving rational exponents
R.4 Polynomials (37)
Understand the definition of a polynomial
Add and subtract polynomials
Multiply polynomials
Divide polynomials using long division

R.5 Factoring Polynomials (55)
Factor out a greatest common factor
Factor by grouping
Factor trinomials with a leading coefficient equal to one
Factor trinomials with a leading coefficient not equal to one
Factor using special factoring formulas
R.6 Rational Expressions (59)
Simplify rational expressions
Multiply and divide rational expressions
Add and subtract rational expressions
Simplify complex rational expressions
CHAPTER 1: Equations, Inequalities, and Applications
1.1 Linear Equations (42)
Find the least common denominator of an expression
Recognize linear equations
Solve linear equations with integer coefficients
Solve linear equations involving fractions
Solve linear equations involving decimals
Solve equations that lead to linear equations
1.4 Quadratic Equations (39)
Simplify radical expressions
Factor trinomials
Solve quadratic equations by factoring
Solve quadratic equations using the square root property
Solve quadratic equations using the quadratic formula
Use the discriminant to determine the type of solutions of a quadratic equation
CHAPTER 6: An Introduction to Trigonometric Functions
6.1 An Introduction to Angles: Degree and Radian Measure (50)
Understand degree measure
Understand radian measure
Convert between degree measure and radian measure
Find coterminal angles using degree measure
Find coterminal angles using radian measure
6.3 Triangles (20)
Classify triangles
Use the Pythagorean Theorem
Understand similar triangles
Understand the special right triangles
6.4 Right Triangle Trigonometry (52)
Understand the right triangle definitions of the trigonometric functions
Use the special right triangles
Understand the fundamental trigonometric identities
Understand cofunctions
Evaluate trigonometric functions using a calculator

6.5 Trigonometric Functions of General Angles (84)
Understand the four families of special angles
Understand the definitions of the trigonometric functions of general angles
Find the values of the trigonometric functions of quadrantal angles
Understand the signs of the trigonometric functions
Determine reference angles
Evaluate trigonometric functions of angles belonging to
π/3
,
π/4
, and
π/6
families
CHAPTER 7: The Graphs of Trigonometric Functions
7.1 Graphs of Sine and Cosine Functions (49)
Perform operations on fractions containing
π
Understand graph of the sine function and its properties
Understand graph of the cosine function and its properties
Determine properties and sketch graphs of form y=Asinx and y=Acosx
Determine properties and sketch graphs of form y=sinBx and y=cosBx
Determine properties and sketch graphs of form y=AsinBx and y=AcosBx
Determine equation of a function of the form y=AsinBx and y=AcosBx given graph
CHAPTER 8: Trigonometric Identities, Formulas, and Equations
8.1 Trigonometric Identities (36)
Review and use the fundamental identities
Verify trigonometric identities
CHAPTER 9: Applications of Trigonometry
9.1 Right Triangle Applications (18)
Solve right triangles
Solve applied problems using right triangles
9.2 The Law of Sines (30)
Determine if the Law of Sines can be used to solve an oblique triangle
Use the Law of Sines to solve the SAA case or the ASA case
Use the Law of Sines to solve the SSA (ambiguous) case
9.3 The Law of Cosines (27)
Use a calculator to approximate trig and inverse trig expressions
Determine whether Law of Sines or Cosines should be used to solve an oblique triangle
Use the Law of Cosines to solve the SAS case
Use the Law of Cosines to solve the SSS case
Use the Law of Cosines to solve applied problems involving oblique triangles
9.4 Area of Triangles (17)
Determine the area of oblique triangles
Use Heron’s Formula to determine the area of an SSS triangle
Solve applied problems involving the area of triangles
CHAPTERS FOR MATH 1021 COLLEGE ALGEBRA
1 - Equations, Inequalities, and Applications 4 - Polynomial and Rational Functions
2 - The Rectangular Coordinate System, 5 - Exponential and Logarithmic
Lines, and Circles
3 - Functions
Functions and Equations
12 - Systems of Equations

SECTION NAMES (NUMBER OF EXERCISES) AND LEARNING OBJECTIVES FOR
MATH 1021 COLLEGE ALGEBRA
CHAPTER 1: Equations, Inequalities, and Applications
1.1 Linear Equations (42)
Find the least common denominator of an expression
Recognize linear equations
Solve linear equations with integer coefficients
Solve linear equations involving fractions
Solve linear equations involving decimals
Solve equations that lead to linear equations
1.4 Quadratic Equations (39)
Simplify radical expressions
Factor trinomials
Solve quadratic equations by factoring
Solve quadratic equations using the square root property
Solve quadratic equations using the quadratic formula
Use the discriminant to determine the type of solutions of a quadratic equation
1.6 Other Types of Equations (34)
Simplify expressions
Solve higher-order polynomial equations
Solve equations that are quadratic in form
Solve equations involving single radicals
1.7 Linear Inequalities (19)
Solve linear inequalities
Solve three-part inequalities
1.8 Absolute Value Equations and Inequalities (29)
Solve an absolute value equation
Solve an absolute value “less than” inequality
Solve an absolute value “greater than” inequality
CHAPTER 2: The Rectangular Coordinate System, Lines, and Circles
2.1 The Rectangular Coordinate System (25)
Find the average of two numbers
Simplify radicals
Plot ordered pairs
Find the midpoint of a line segment using the midpoint formula
Find the distance between two points using the distance formula
2.2 Circles (32)
Complete the square to form perfect square trinomials
Write the standard form of an equation of a circle
Sketch the graph of a circle given its equation in general form
Find the center and radius of a circle given its equation in general form

2.3 Lines (56)
Solve a linear equation for the variable y
Determine the slope of a line through two given points
Sketch a line given a point and the slope
Find the equation of a line using the point-slope form
Find the equation of a line using the slope-intercept form
Write the equation of a line in standard form
Find the slope and the y -intercept of a line in standard form
Sketch lines by plotting intercepts
Sketch a line given its equation in standard form
Find the equation of a horizontal line and a vertical line
2.4 Parallel and Perpendicular Lines (38)
Determine whether two lines are parallel, perpendicular, or neither
Find the equations of parallel and perpendicular lines
CHAPTER 3: Functions
3.1 Relations and Functions (62)
Simplify algebraic expressions
Understand the definitions of relations and functions
Determine whether equations represent functions
Use function notation and evaluate functions
Use the vertical line test
Determine the domain of a function given the equation
3.2 Properties of a Function’s Graph (48)
Evaluate f(-x) given a function f(x)
Determine the intercepts of a function
Determine the domain and range of a function from its graph
Determine whether a function is increasing, decreasing, or constant
Determine relative maximum and relative minimum values of a function
Determine whether a function if even, odd, or neither
Determine information about a function from a graph
3.3 Graphs of Basic Functions; Piecewise Functions (28)
Sketch the graphs of the basic functions
Analyze piecewise-defined functions
3.4 Transformations of Functions (53)
Use vertical shifts to graph functions
Use horizontal shifts to graph functions
Use vertical stretches and compressions to graph functions
Use combinations of transformations to graph functions
3.5 Composite Functions (25)
Simplify fractional expressions
Form and evaluate composite functions
Determine the domain of composite functions
3.6 One-to-One Functions; Inverse Functions (43)
Understand the definition of a one-to-one function
Determine whether a function is one-to-one using the horizontal line test
Understand and verify inverse functions
Sketch the graphs of inverse functions
Find the inverse of a one-to-one function

CHAPTER 4: Polynomial and Rational Functions
4.1 Quadratic Functions (35)
Determine whether the graph of a quadratic function opens up or down
Determine properties of quadratic function in standard form and graph
Determine properties of quadratic function using the vertex formula and graph
Determine the equation of a quadratic function given its graph
4.2 Applications of Quadratic Functions (10)
Find the maximum value for projectile motion functions
Find the maximum value for functions in economics
4.3 Graphs of Polynomial Functions (46)
Identify polynomial functions, degree, constant and leading coefficients
Sketch the graphs of power functions
Determine the end behavior of polynomial functions
Determine the intercepts of a polynomial function
Determine the real zeros of polynomial functions and their multiplicities
Sketch the graph of a polynomial function
Determine a possible equation of a polynomial function given its graph
4.6 Rational Functions and Their Graphs (35)
Find the domain and intercepts of rational functions
Identify vertical asymptotes
Identify horizontal asymptotes
Use transformations to sketch the graphs of rational functions
Sketch rational functions
CHAPTER 5: Exponential and Logarithmic Functions and Equations
5.1 Exponential Functions (53)
Rewrite expressions in exponential form
Evaluate exponential expressions
Sketch the graphs of exponential functions
Determine possible equations of exponential functions given their graphs
Sketch the graphs of exponential functions using transformations
Solve exponential equations by relating the bases
5.2 Logarithmic Functions (62)
Change equations between exponential form and logarithmic form
Evaluate logarithmic expressions
Use properties of logarithms to evaluate expressions
Use common and natural logarithms
Sketch the graphs of logarithmic functions
Find the domain of logarithmic functions
5.3 Properties of Logarithms (41)
Expand and evaluate logarithmic expressions
Condense and evaluate logarithmic expressions
Solve logarithmic equations using the logarithm property of equality
Use the change of base formula
5.4 Exponential and Logarithmic Equations (42)
Evaluate exponential and logarithmic expressions using a calculator
Solve exponential equations
Solve logarithmic equations

5.5 Applications of Exponential and Logarithmic Functions (27)
Solve applications involving exponential functions
Solve compound interest applications
Solve exponential growth and decay applications
CHAPTER 12: Systems of Equations
12.1 Systems of Linear Equations in Two Variables (23)
Verify solutions to a system of linear equations in two variables
Solve a system of linear equations using the substitution method
Solve a system of linear equations using the elimination method
Solve systems of linear equations in two variables using either method
Solve applied problems using a system of linear equation