CCCOnline LogoCourse Snapshot for MAT 055 - Algebraic Literacy

The information listed below is subject to change. Please review the course syllabus within your online course at the start of class.

Course Competencies

The competencies you will demonstrate in this course are as follows:

  1.  Analyze linear functions in multiple forms.
  2.  Solve systems of linear equations in two variables with multiple methods. 
  3.  Simplify radical expressions using algebraic manipulations. 
  4.  Apply arithmetic operators to complex numbers.
  5. Utilize/apply appropriate factoring techniques to factor polynomials.
  6.  Apply algebraic manipulations to rational expressions.
  7. Solve quadratic equations using multiple methods.
  8. Solve equations involving radicals, rational expressions, and absolute values.
  9. Use algebraic techniques to solve application problems and reach logical conclusions.
Learning concepts for this course are enchanced using illustrative models, video, and online discussions.

Module Outcomes Mapped to Competencies

Module 1
  Outcomes Competencies
1 Exemplify familiarity with navigation within this mastery learning course, its procedures and policies, and avenues for seeking academic and technology support.  IX
2 Input a screen capture and textbook-like math symbolism using D2L's equation editor within a discussion post.  IX
3 Use tools to show texbook-like math symbolism and the Order of Operations to simplify an expression in Pearson MyLabs (PML) "show-work" area.  IX
Module 2
  Outcomes Competencies
1 Write the equation of a line given two points. I
2 Find the x- and y-intercepts of linear equations.  I
3 Calculate the slope and rate of change of a line. I
4 Identify parallel and perpendicular lines. I
5 Graph linear equations. I
6 Solve linear systems of equations using substitution, elimination and graphing methods. II
7 Classify the solutions of linear systems of equations. II
8 Solve application problems with systems of equations. IX
Module 3
  Outcomes Competencies
1 Factor using the greatest common factor. V
2 Factor using the grouping method. V
3 Factor trinomials of the form. ax2 + bx + c V
4 Factor the difference of two squares.  V
5 Factor the difference and sum of two cubes. V
6 Solve quadratic equations using the Zero Product Property. VII
7 Solve polynomial equations with degree greater than 2. VII
8 Solve application problems with polynomial models and interpret results. IX
Module 4
  Outcomes Competencies
1 Simplify rational expressions. (VI.a) VI
2 Add, subtract, multiply, and divide rational expressions. VI
3 Solve rational equations. VIII
4 Identify extraneous solutions for rational equations.  VIII
5 Use graphs, tables and equations to solve real-world application involving rational expressions. IX
Module 5
  Outcomes Competencies
1 Recognize and work with function notation. I
2 Solve inequalities and express solutions graphically and with interval notation. I
3 Solve absolute value equations that contain one absolute value expression. VIII
Module 6
  Outcomes Competencies
1 Write radical expressions in simplest form. III
2 Convert between radical expressions and expressions with rational exponents. III
3 Simplify radical expressions using rational exponents and properties of exponents. III
4 Add, subtract, multiply, and divide of radical expressions. III
5 Rationalize denominators. III
6 Solve radical equations with one radical expression.  VIII
7 Apply the distance formula. III
8 Find square roots of negative numbers expressed as complex numbers. IV
9 Add, subtract, multiply, and divide complex numbers. IV
10 Simplify powers of i. IV
11 Use graphs, tables, and equations to solve real-world application problems. IX
Module 7
  Outcomes Competencies
1 Find the vertex of a parabola. VII
2 Solve quadratic equations by completing the square. VII
3 Solve quadratic equations by using the square root properly. VII
4 Solve quadratic equations using the quadratic formula. VII
5 Use the discriminant to determine types of solutions. VII
6 Solve equations that are reducible to quadratics. (recommended VII
7 Make connections between solutions to quadratic equations and intercepts on a graph. VII
8 Graph basic quadratic equations using intercepts and orientation. VII
9 Solve application problems with quadratic models and interpreting results. IX
10 Use appropriate technology when graphing quadratic equations. IX
Module 8
  Outcomes Competencies
1 Analyzing linear functions in multiple forms. I
2 Solving systems of linear equations in two variables with multiple methods. II
3 Simplifying radical expressions using algebraic manipulations. III
4 Applying arithmetic operators to complex numbers. IV
5 Utilizing/applying appropriate factoring techniques to factor polynomials. V
6 Applying algebraic manipulations to rational expressions. VI
7 Solving quadratic equations using multiple methods. VII
8 Solving equations involving radicals, rational expressions, and absolute values. VIII
9 Using algebraic techniques to solve application problems and reach logical conclusions. IX

Course Time Commitment and Expectations

The semester schedule for this course may be 15 weeks or 10 weeks in duration. Based on the course format, this table shows the approximate amount of time you should plan to spend per week on this course. This includes time to read/listen to the online content, participate in discussion forums, complete all assignments, and study the course material.

For accelerated courses, the amount of time required per week is greater. Note that regardless of course format, the course material is the same and all course competencies, module outcomes, and assignments will be covered.

Course Activity Hours and Student Learning Hours
Course Credit Hours Course Format (Duration) Pace Relative to a 15 Week Course Course Activity Hours Student Learning Hours Per Week
4 15 Weeks - 180 11.5 to 12.5
4 10 Weeks 1.5x faster 180 17 to 19

Aside from typical reading assignments, this course has the following (Please Note: This list is subject to change based on the discretion of the instructor facilitating this course.):

Summary of Grading
Assignment Points %
D2L Student Introduction Discussion  10 0.6%
PML Scavenger Hunt Quiz 20 1.3%
D2L Screen Capture & D2L Editor Discussion
 20 1.3%
PML Show-Work Activity using PML Tools
 20 1.3%
D2L Discussions (6 @ 30 points each)
 180 12%
PML Personalized Homework Assignments (11 @ 20 points each)
 220 15%
PML Quizzes (11 @ 30 points each) 330 22%
PML Module Exams (6 @ 100 points each) 600 40%
PML Final Exam 100 6.5%
TOTAL 1500 100%

 


 

 

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