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|
Identities and ContradictionsPreview
Solve Rational Equations (Fractions)Preview
Solving Radical Equations
Solving Radical Equations (2 Radicals)Preview
Square Root Property
Completing the Square
Other Equations in Quadratic Form
The Quadratic FormulaPreview
Absolute Value Equations
Absolute Value Equations 2
Absolute Value Inequalities
|Section 2: Advanced Graphing Techniques|
Average Rate of Change
Identify Domain and Range From Graphs
Domain of Rational Expressions
Domain of Complex Fractions
Graphing: Writing Equations 1
Graphing: Writing Equations 2
Graphing From an Application (Word Problem)
Transformations on the Coordinate Plane 1Preview
Transformations on the Coordinate Plane 2
|Section 3: Functions|
Sum or Difference of Functions
Product or Quotient of Functions
X and Y Intercepts of Functions
Identify Even or Odd Functions
One-to-One and Horizontal Line Test
|Section 4: Polynomials|
Products of Polynomials (FOIL)
Products of Polynomials (Binomial X Trinomial)
Division of Polynomials (Divide by a Monomial)
Long Division of Polynomials
|Section 5: Systems of Equations|
Classifying Systems of Linear Equations
Contradictions and Identities
Solve a System by Graphing
Solve a System by Elimination (Addition)
Solve a System by Substitution
Systems in Three Equations
|Section 6: Advanced Topics with Radicals|
Beyond Square Roots: Simplifying Other Roots
Rationalize Denominators (1 term)
Rationalize Denominators (2 terms)
Imaginary and Complex Numbers
Adding and Subtracting Complex Numbers
Multiplying and Dividing Complex Numbers
|Section 7: Variation|
Joint (Combined) Variation
|Section 8: Skills Assessments|
Skills Assessment #1: Strategies for solving Advanced Equations
Skills Assessment #2: Graphing and Functions
Skills Assessment #3: Polynomials
Skills Assessment #4: Systems of Equations
Skills Assessment #5 Advanced topics with Radicals
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 two-20 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 2006-2008
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 2006-current (exp 2017)
NCTM Member 2006-2008
Intervention Services of Central Florida 2006 (Mentoring at-risk youth)
Student Achievement Initiative Mentor (2000-2002) Mentoring secondary students at-risk for dropping out of school
Project Speak (Suicide Prevention Program) 2010