Advanced Algebra: Strategies for Success
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This course covers algebraic topics including advanced strategies for solving equations, graphing algebraic functions, polynomials, systems of equations, advanced topics with radicals and square roots, variation, and applications (word problems). The course curriculum aligns to content that is common to most high school algebra 2 courses as well as college level intermediate algebra. Content is taught through interactive video lectures that include guided practice problems and the associated live action solutions. The curriculum is organized into 7 chapters (topics), containing a total of 60 video lectures that are approximately 10 minutes in length each. The course culminates with end of chapter assessments to check for skills mastery. Answer Keys are included for all assessments. The instructor for this course is a certified math instructor with over 10 years of middle school, high school, and college level teaching experience.
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Section 1: Advanced Strategies for Solving Equations  

Lecture 1 
Identities and Contradictions
Preview

06:32  
Lecture 2 
Solve Rational Equations (Fractions)
Preview

05:37  
Lecture 3 
Solving Radical Equations

06:18  
Lecture 4 
Solving Radical Equations (2 Radicals)
Preview

13:15  
Lecture 5 
Square Root Property

09:38  
Lecture 6 
Completing the Square

09:37  
Lecture 7 
Other Equations in Quadratic Form

12:14  
Lecture 8 
The Quadratic Formula
Preview

09:08  
Lecture 9 
The Discriminant

05:34  
Lecture 10 
Compound Inequalities

07:49  
Lecture 11 
Absolute Value Equations

06:22  
Lecture 12 
Absolute Value Equations 2

08:02  
Lecture 13 
Absolute Value Inequalities

09:36  
Section 2: Advanced Graphing Techniques  
Lecture 14 
Average Rate of Change

05:04  
Lecture 15 
Distance Formula

05:50  
Lecture 16 
Midpoint Formula

03:59  
Lecture 17 
Parallel Lines

04:59  
Lecture 18 
Perpendicular Lines

03:46  
Lecture 19 
Identify Domain and Range From Graphs

08:55  
Lecture 20 
Domain of Rational Expressions

09:00  
Lecture 21 
Domain of Complex Fractions

09:38  
Lecture 22 
Graphing: Writing Equations 1

06:32  
Lecture 23 
Graphing: Writing Equations 2

07:04  
Lecture 24 
Graphing From an Application (Word Problem)

07:14  
Lecture 25 
Transformations on the Coordinate Plane 1
Preview

09:59  
Lecture 26 
Transformations on the Coordinate Plane 2

12:20  
Lecture 27 
Multiple Transformations

08:49  
Section 3: Functions  
Lecture 28 
Function Notation

04:15  
Lecture 29 
Identifying Functions

09:21  
Lecture 30 
Sum or Difference of Functions

05:06  
Lecture 31 
Product or Quotient of Functions

04:49  
Lecture 32 
Composite Functions

03:41  
Lecture 33 
Difference Quotient

07:26  
Lecture 34 
X and Y Intercepts of Functions

05:41  
Lecture 35 
Identify Even or Odd Functions

07:10  
Lecture 36 
OnetoOne and Horizontal Line Test

05:07  
Lecture 37 
Inverse Functions

07:30  
Section 4: Polynomials  
Lecture 38 
Adding Polynomials

05:09  
Lecture 39 
Subtracting Polynomials

06:03  
Lecture 40 
Products of Polynomials (FOIL)

08:35  
Lecture 41 
Products of Polynomials (Binomial X Trinomial)

05:16  
Lecture 42 
Division of Polynomials (Divide by a Monomial)

05:30  
Lecture 43 
Long Division of Polynomials

07:59  
Lecture 44 
Synthetic Division
Preview

07:05  
Section 5: Systems of Equations  
Lecture 45 
Classifying Systems of Linear Equations

08:06  
Lecture 46 
Contradictions and Identities

09:38  
Lecture 47 
Solve a System by Graphing

05:36  
Lecture 48 
Solve a System by Elimination (Addition)

12:23  
Lecture 49 
Solve a System by Substitution

08:36  
Lecture 50 
Systems in Three Equations

14:43  
Section 6: Advanced Topics with Radicals  
Lecture 51 
Beyond Square Roots: Simplifying Other Roots

06:44  
Lecture 52 
Rational Exponents

07:13  
Lecture 53 
Rationalize Denominators (1 term)

08:14  
Lecture 54 
Rationalize Denominators (2 terms)

08:20  
Lecture 55 
Imaginary and Complex Numbers

08:18  
Lecture 56 
Adding and Subtracting Complex Numbers

02:56  
Lecture 57 
Multiplying and Dividing Complex Numbers

09:34  
Section 7: Variation  
Lecture 58 
Direct Variation

07:21  
Lecture 59 
Inverse Variation

06:54  
Lecture 60 
Joint (Combined) Variation

06:52  
Section 8: Skills Assessments  
Lecture 61 
Skills Assessment #1: Strategies for solving Advanced Equations

6 pages  
Lecture 62 
Skills Assessment #2: Graphing and Functions

8 pages  
Lecture 63 
Skills Assessment #3: Polynomials

3 pages  
Lecture 64 
Skills Assessment #4: Systems of Equations

4 pages  
Lecture 65 
Skills Assessment #5 Advanced topics with Radicals

4 pages 
I'm a student at UCF studying Hospitality Management with a minor in Mathematics. During my first two years in College I was a Math tutor at Seminole State College. During my tenure there my passion for teaching and helping fellow colleagues and students understand Math grew larger. After my second year, I decided with a colleague of mine to create videos that would help students further develop there Math skills in Intermediate and College Algebra. Its always been a passion of mine to teach Math as a child. Now through Udemy hopefully I can begin fulfilling my dream.
I have been using projects, games, cooperative learning, and interactive activities to teach mathematics at the middle school, high school, and college levels for the last 8 years.
I run a highly interactive classroom that promotes student participation and critical thinking. In a typical class period (my class periods are 100 minutes long), I generally limit my speaking time to two20 minute sessions. These sessions are broken up by class projects, assignments, and explorative activities that engage the students with the material (often in small group settings).
State of Florida Star teacher award
2 x teacher of the month (HS)
Rookie Teacher of the year (HS)
High School Student Learning Gains 83%89% each year
Foundation Grant 2008, 2009, 2011, 2012
Lockheed Martin Academy Grant 20062008
Florida International University (BBA Finance)
University of Central Florida (MA Math Education)
The Florida State University (Institutional Research Graduate Certificate)
Member of Florida Developmental Education Association
State of Florida Teacher Certification 2006current (exp 2017)
NCTM Member 20062008
Intervention Services of Central Florida 2006 (Mentoring atrisk youth)
Student Achievement Initiative Mentor (20002002) Mentoring secondary students atrisk for dropping out of school
Project Speak (Suicide Prevention Program) 2010