Dual Enrollment Program Support Course: Algebra III
This support course (high school credit only) is designed to be taught in the fall semester preceding Math 1021 College Algebra (dual enrollment) in the spring semester. This alternative sequence is suitable for students who are not prepared to take Math 1021 in the fall semester.
Course Details
- High School Code
- 160375 Algebra III
- High School Credit
- 1/2 Carnegie Unit
- Grade Levels
- 12th, 11th, 10th
- Course Offered
- Fall
- Primary Content Source
- Algebra & Trigonometry, 4e (Kirk Trigsted), MyLab Math
Topics and Objectives
Chapter and section numbers refer to Algebra & Trigonometry, 4e (Kirk Trigsted).
R.1 Real Numbers
(25 exercises)
- 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
(38 exercises)
- Understand the properties of real numbers
- Use exponential notation
- Use the order of operations to simplify numeric and algebraic expressions
R.3 Integer Exponents
(55 exercises)
- Understand the laws of exponents
- Simplify exponential expressions involving integer exponents
R.4 Radicals and Rational Exponents
(60 exercises)
- Simplify radical expressions
- Simplify expressions involving rational exponents
R.5 Polynomials
(48 exercises)
- Understand the definition of a polynomial
- Add and subtract polynomials
- Multiply polynomials
R.6 Operations with Radicals
(42 exercises)
- Add and subtract radical expressions
- Multiply radical expressions
R.7 Factoring Polynomials
(77 exercises)
- 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.8 Rational Expressions
(77 exercises)
- Simplify rational expressions
- Multiply and divide rational expressions
- Add and subtract rational expressions
- Simplify complex rational expressions
R.9 Addition and Multiplication Properties of Equality
(49 exercises)
- Determine if a given value is a solution to an equation
- Solve equations using properties of equality
1.1 Linear Equations
(61 exercises)
- 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
(53 exercises)
- 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
(37 exercises)
- Solve higher-order polynomial equations
- Solve equations involving radicals
1.7 Linear Inequalities
(49 exercises)
- Solve linear inequalities in one variable
- Solve three-part inequalities in one variable
- Solve compound inequalities in one variable
1.8 Absolute Value Equations
(29 exercises)
- Solve absolute value equations
2.1 The Rectangular Coordinate System
(21 exercises)
- Graph equations by plotting points
- Find intercept of a graph given an equation
- Find the midpoint of a line segment using the midpoint formula
- Find the distance between two points using the distance formula
2.3 Lines
(50 exercises)
- Determine the slope of a line
- Sketch lines given a point and the slope
- Write the equation of a line using the point-slope form
- Write the equation of a line using the slope-intercept form
- Write the equation of a line in standard form
- Write the equations of horizontal and vertical lines
- Sketch lines by plotting intercepts
2.4 Parallel and Perpendicular Lines
(13 exercises)
- Understand the definition of parallel lines
- Understand the definition of perpendicular lines
- Determine whether two lines are parallel, perpendicular or neither
12.1 Systems of Linear Equations in Two Variable
(27 exercises)
- Verify solutions to a system of linear equations in two variables
- Solve systems of linear equations using the substitution method
- Solve systems of linear equations using the elimination method
- Solve applied problems using a system of linear equations
3.1 Relations and Functions
(27 exercises)
- Understand the definitions of relations and functions
- Determine whether equations represent functions
- Use function notation
- Evaluate functions
3.2 Properties of a Function’s Graph
(24 exercises)
- Determine the intercepts of a function
- Determine the domain and a range of a function from its graph
- Determine whether a function is increasing, decreasing, or constant
3.3 Graphs of Basic Functions
(33 exercises)
- Sketch the graphs of the basic functions
- Sketch the graphs of basic functions with restricted domains
3.4 Transformations of Functions
(67 exercises)
- Use vertical shifts to graph functions
- Use horizontal shifts to graph functions
- Use reflections to graph functions
- Use vertical stretches and compressions to graph functions
5.1 Exponential Functions
(30 exercises)
- Understand the characteristics of exponential functions
- Solve exponential equations by relating the bases
5.2 Log Functions
(44 exercises)
- Understand the definition of logarithmic functions
- Evaluate logarithmic expressions
- Understand the properties of logarithms
- Understand the characteristics of logarithmic functions
- Find the domain of logarithmic functions
Course Profile
| Name | Last Modified |
|---|---|
| Algebra III COURSE PROFILE, prep for LSU Math 1021 College Algebra 6-20-2024 [docx] | 2025-12-10 |