Advanced Algebra: Strategies for Success

The curriculum of the Advanced Algebra course correlates with high school algebra 2 and college intermediate algebra.
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  • Lectures 65
  • Contents Video: 7.5 hours
    Other: 25 mins
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
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About This Course

Published 8/2013 English

Course Description

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.

What are the requirements?

  • A scientific or graphing calculator and a small amount of graph paper would be helpful for this course.

What am I going to get from this course?

  • Differentiate between sets of numbers including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and imaginary or complex numbers
  • Perform basic operations on number values including determining absolute values
  • Apply basic mathematical and algebraic properties of real numbers
  • Solve linear, absolute value, and fractional equations
  • Solve real-world application problems that involve linear, absolute value, and rational equations and inequalities
  • Factor polynomial expressions
  • Evaluate polynomial expressions
  • Perform operations of algebraic rational expressions
  • Simplify complex fractions
  • Simplify and perform operations with radical expressions
  • Solve quadratic equations by multiple methods
  • Solve real-world applications involving quadratic systems
  • Solve simultaneous equations in multiple variables
  • Write the equation of line in multiple forms
  • Determine the domain and range of fuctions

What is the target audience?

  • Students with a foundation in basic algebraic topics
  • Students preparing for a college placement exam
  • High school, home school, or college level students

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Advanced Strategies for Solving Equations
Identities and Contradictions
Preview
06:32
Solve Rational Equations (Fractions)
Preview
05:37
Solving Radical Equations
06:18
Solving Radical Equations (2 Radicals)
Preview
13:15
Square Root Property
09:38
Completing the Square
09:37
Other Equations in Quadratic Form
12:14
The Quadratic Formula
Preview
09:08
The Discriminant
05:34
Compound Inequalities
07:49
Absolute Value Equations
06:22
Absolute Value Equations 2
08:02
Absolute Value Inequalities
09:36
Section 2: Advanced Graphing Techniques
Average Rate of Change
05:04
Distance Formula
05:50
Midpoint Formula
03:59
Parallel Lines
04:59
Perpendicular Lines
03:46
Identify Domain and Range From Graphs
08:55
Domain of Rational Expressions
09:00
Domain of Complex Fractions
09:38
Graphing: Writing Equations 1
06:32
Graphing: Writing Equations 2
07:04
Graphing From an Application (Word Problem)
07:14
Transformations on the Coordinate Plane 1
Preview
09:59
Transformations on the Coordinate Plane 2
12:20
Multiple Transformations
08:49
Section 3: Functions
Function Notation
04:15
Identifying Functions
09:21
Sum or Difference of Functions
05:06
Product or Quotient of Functions
04:49
Composite Functions
03:41
Difference Quotient
07:26
X and Y Intercepts of Functions
05:41
Identify Even or Odd Functions
07:10
One-to-One and Horizontal Line Test
05:07
Inverse Functions
07:30
Section 4: Polynomials
Adding Polynomials
05:09
Subtracting Polynomials
06:03
Products of Polynomials (FOIL)
08:35
Products of Polynomials (Binomial X Trinomial)
05:16
Division of Polynomials (Divide by a Monomial)
05:30
Long Division of Polynomials
07:59
Synthetic Division
Preview
07:05
Section 5: Systems of Equations
Classifying Systems of Linear Equations
08:06
Contradictions and Identities
09:38
Solve a System by Graphing
05:36
Solve a System by Elimination (Addition)
12:23
Solve a System by Substitution
08:36
Systems in Three Equations
14:43
Section 6: Advanced Topics with Radicals
Beyond Square Roots: Simplifying Other Roots
06:44
Rational Exponents
07:13
Rationalize Denominators (1 term)
08:14
Rationalize Denominators (2 terms)
08:20
Imaginary and Complex Numbers
08:18
Adding and Subtracting Complex Numbers
02:56
Multiplying and Dividing Complex Numbers
09:34
Section 7: Variation
Direct Variation
07:21
Inverse Variation
06:54
Joint (Combined) Variation
06:52
Section 8: Skills Assessments
Skills Assessment #1: Strategies for solving Advanced Equations
6 pages
Skills Assessment #2: Graphing and Functions
8 pages
Skills Assessment #3: Polynomials
3 pages
Skills Assessment #4: Systems of Equations
4 pages
Skills Assessment #5 Advanced topics with Radicals
4 pages

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Instructor Biography

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.

Instructor Biography

Joe Huston, College Instructional Leader: Mathematics and Sciences

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

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