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Course descriptions
Course Name   Algebra II Out of State Tuition Fee  $750.00  
Subject   Mathematics      
Course Status   N/A    
Out-of-State Course Status   N/A      
Course Type   Validated       
Course Number   1200330       
Honors Number   1200340       
Prerequisites   Algebra I        
Credit        
Estimated Completion Time   2 semesters / 36 weeks       
 
Course Description  
Experience Algebra II as an employee of the Functional Consulting Company. A combination of business trips with the application of learned concepts will ensure your rise from Junior Associate to Senior Staff Member. Algebra II is an advanced Algebra course, required for college entry, which meets all the state, local, and NCTM (National Council of Teachers of Mathematics) Standards. The emphasis in this Algebra II course is on student success by way of varied learning styles using applications, hands-on activities, group interactions, discoveries, and, of course, technology.
 
 
 
Scope & Sequence   The Algebra II course is built so that students are promoted through a fictional company from Junior Associate to Executive Senior as they acquire Algebra II skills and knowledge.

Module 1: Review of Basic Algebra
Number types and properties
Writing, solving and graphing equations, inequalities and combined inequalities
Solving literal equations
Joint, inverse and combined variation with applications
Functions, relations, and their inverses
Graphing linear equations, finding slope, and writing equations from points.

Module 2: Operations on Polynomials
Polynomial operations
Division of polynomials and synthetic division
Factoring quadratic polynomials and sums and differences of cubes
Solving quadratic equations

Module 3: Radical and Quadratic Relations
Operations on radicals
Solving quadratic equations with the quadratic formula
Graphing and discovering the parabola and its properties
Completing the square
Operations on imaginary numbers
Exploring the affect of the discriminant

Module 4: Systems of Equations and Inequalities
Solving systems of equations algebraically, graphically and with matrices including inverse matrices and Cramer's Rule.
Solving systems of three equations with three unknowns
Matrix operations
Solving and graphing systems of inequalities

Module 5: Conic Sections
Recognizing a conic section from its equation
Graphing conic sections from equations
Finding equations of conic sections given data or a graph
Finding center, axes, foci, asymptotes and orientation of conic sections from equations or graphs

Module 6: Rational Relations
Simplifying rational expressions
Operations on rational expressions
Solving equations with rational expressions
Graphing rational expressions
Finding horizontal and vertical asymptotes and holes
Finding zeros of polynomial functions using the Rational Zeros Theorem, the Fundamental Theorem of Algebra and Descartes' Rule of signs.
Analyzing zeros of polynomial functions using the same theorems
Comparing odd and even functions, their ranges, domains and bounds

Module 7: Exponential and Logarithmic Relations
Writing fractions in different forms using positive, negative and fractional exponents
Solving and graphing exponential equations
Exponential and logarithmic notation
Evaluating logarithms
Solving logarithmic equations
Properties of logarithms
Solving exponential equations using logarithms

Module 8: Sequences, Series, Probability and Statistics
Arithmetic sequences and series
Summation notation
Geometric sequences and series
Fundamental Counting Principle
Permutations and combinations
Probability, Statistics and presenting data 
 
 
Course Objectives   Content Objectives: Include but not limited to
  • structure and properties of the complex number system
  • arithmetic and geometric sequences and series
  • relations, functions and graphs extended to polynomials, exponential, and logarithmic functions
  • varied solution strategies for linear equations, inequalities, and systems of equations and inequalities
  • varied solutions strategies, including the quadratic formula, for quadratic equations
  • conic sections and their applications
  • data analysis, including measures of central tendency and dispersion
  • probability, permutations, and combinations (in the Honors portion)
 
 
 
Grading Policy   Grades will be based upon the quality of the student submissions, participation in discussions, and the ability to maintain consistent communication with the instructor. The grading scale that is used for this course is as follows:

A 90-100
B 80-89
C 70-79
D 60-69
F 59 or below

All forms of academic dishonesty are prohibited. This includes, but is not limited to, plagiarism, cheating, furnishing false information, forgery, alteration or misuse of documents or software, and misconduct during a testing situation. Any student cheating on an exam will receive a zero on the exam and may be withdrawn from the class at the instructor's discretion. 
 
 
Communication / Participation Requirements   Only through continuous communication can students be successful in an online course. Within each course the instructor outlines the weekly minimum work requirements. It is essential that the student and instructor maintain regular contact. Failure to complete assignments on a consistent basis will result in students being removed from the course.   
 
Course Reviewers   Penny Parish
Math Instructor
University High School
OCPS

John Schiener
Mathematics/Virtualing Schooling Consultant
IBM Business Innovation Services

Madouna Loving
Technical Lab Facilitator & Math Instructor
Malone High School
Jackson County

Pascaline Geva
Math instructor
Valencia Community College
Orange County

 
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