Course

Course Summary
Credit Type:
Course
ACE ID:
GRAD-0022
Organization's ID:
S1 - 128829929, S2 - 128830138
Organization:
Graduation Alliance
Location:
Online
Length:
4 weeks (120 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 college mathematics
Description

Objective:

The course objective is to learn about quadratic functions and how to graph and solve them; complex numbers and solving problems that involve complex numbers; graphing and solving polynomials, including special cases for factoring; and rational expressions and how to multiply and divide rational expressions. This course also introduces students to a variety of statistics and probability topics, including sequences, series, finding probabilities, normal distributions, surveys, and experiments.

Learning Outcomes:

  • Solve and graph quadratics
  • Solve and graph higher-order polynomials, rational, radical, exponential, and logarithmic functions
  • Add, subtract, multiply, and divide rational expressions
  • Find the inverse of a function
  • Graph absolute value, piece-wise, sine, and cosine functions
  • Apply the unit circle to find the exact solutions for trig functions
  • Find and graph the equations for circles and parabolas
  • Create the formula and find terms for arithmetic and geometric sequences and series
  • Find the probability for given situations
  • Analyze data to find statistical measures and make inferences

General Topics:

  • Introduction to quadratics
  • Graphing quadratics by hand
  • Solving quadratics by graphing
  • Complex numbers
  • Multiplying complex numbers
  • Solving Quadratics by square roots
  • Factoring
  • More factoring
  • Solving quadratics by factoring
  • Solve by completing the square
  • Quadratic formula
  • Standard form to vertex form
  • Introduction to polynomials
  • Polynomial graphs and solving polynomials by graphing
  • Solving polynomials by factoring
  • The Remainder Theorem
  • Polynomial division
  • Multiplying rational expressions
  • Dividing rational expressions
  • Adding and subtracting rational expressions
  • Solving rational equations
  • Properties of exponents
  • Graphing exponential functions
  • Exponential equations
  • Exponential models
  • Logarithms as inverses
  • Using logarithms to solve exponential equations
  • Graphing logarithmic functions
  • Rational to radical
  • Rational exponent properties
  • Graphing radical functions
  • Solving radical equations
  • Inverse functions
  • Function operations
  • Even and odd functions
  • Systems of equations
  • Absolute value graphs
  • Piecewise graphs
  • Step function
  • Sine, cosine and tangent
  • The Unit Circle
  • Radians
  • Trig identities
  • Sine graphs
  • Cosine graphs
  • Equations of circles
  • Circles and completing the square
  • Parabolas - Focus and Directrix
  • Sequences and series
  • Arithmetic sequences
  • Arithmetic series
  • Geometric sequences
  • Geometric series
  • Recursive sequences
  • Counting principle
  • Probability
  • Multiplying probabilities
  • Adding probabilities
  • Statistical measures
  • Normal distribution
  • Populations, samples, and hypothesis
  • Making inferences from sample surveys
  • Making inferences from sample experiments
  • Two-way frequency tables
Instruction & Assessment

Instructional Strategies:

  • Computer Based Training
  • Discussion
  • Learner Presentations
  • Practical Exercises

Methods of Assessment:

  • Other
  • Performance Rubrics (Checklists)
  • Presentations
  • Quizzes
  • Scenarios, teacher facilitated discussions

Minimum Passing Score:

70%
Supplemental Materials

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