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Beginning Algebra: Building a Foundation

The curriculum of the Beginning Algebra course correlates with high school algebra 1 and college developmental math.
4.6 (57 ratings)
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686 students enrolled
Last updated 8/2013
English
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Includes:
  • 11.5 hours on-demand video
  • 5 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
Apply the Order of Operations for Simplifying expressions
Simplify an Algebraic Expression with Integer Exponents
Performs Operations on Polynomial Expressions
Solve Quadratic Equations with Factoring
Factor Polynomials
Solve Linear Equations
Graph Linear Equations with a variety of methods
Simplify Radical Expressions
Solve Literal Equations for Defined Variables
Convert Between Scientific and Standard Notations
Solve Geometric and Algebraic Applications (Word Problems)
Identify the Slope of a Line from a Graph or Equations
Solve Linear Inequalties
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Requirements
  • A scientific calculator and a small amount of graph paper would be helpful for this course.
Description

This course covers algebraic topics including integers and real numbers, solving equations, graphing linear equations, polynomials, radicals and square roots, factoring, exponents, and applications (word problems). The course curriculum aligns to content that is common to most high school algebra 1 courses as well as college level developmental mathematics. Content is taught through interactive video lectures that include guided practice problems and the associated live action solutions. The curriculum is organized into 10 chapters (topics), containing a total of 105 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.

Who is the target audience?
  • Middle School, High School, or Early College Level Students
  • Students preparing for a college placement test
  • Home-schooled students
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Curriculum For This Course
Expand All 109 Lectures Collapse All 109 Lectures 12:07:55
+
Real Numbers
11 Lectures 01:23:21
Sets of Real Numbers
12:36

The Real Number Line
06:43

An Introduction to Inequalities
07:42


An Introduction to Exponents
07:54

An Introduction to Square Roots
05:48

Properties of Real Numbers
07:58

An Introduction to the Order of Operations
06:05

Order of Operations 2
07:59

Order Of Operations 3
08:55

Evaluating Algebraic Expressions
04:51
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Integers and Integer Arithmetic
8 Lectures 37:19
Adding Integers
06:07

Adding Integers (Multistep)
02:21

Subtraction of Integers
05:25

Subtraction of Integers (Multistep)
03:28

Multiplication of Integers
03:30

Multiplication of Integers (Multistep)
07:34

Division of Integers
04:21

Order of Operations (Advanced)
04:33
+
Solving Linear Equations
11 Lectures 01:07:30
Solving Equations 1
05:57

Solving Equations 2
06:59

Solving Equations 3 ( Multistep Equations)
09:48

Solving Equations 4 (Special Cases)
06:02

Solving Equations 5 (Clearing Fractions)
05:37

Solving Equations 6 (Clearing Decimals)
04:09

Formulas and Literal Equations
05:44

Graphing Inequalities on a Number Line
08:49

Solving Linear Inequalities 1
04:19

Solving Linear Inequalities 2
05:48

Inequalities (Special Cases)
04:18
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Applications of Linear Equations
13 Lectures 01:39:18
Writing Equations
06:52

Related Values
10:51

Consecutive Integers 1
08:20

Consecutive Integers 2
05:39

Segments of a Single Object
04:35

Geometric Applications (Solving Rectangles)
08:39

Basic Percents
10:58

Simple Interest
07:32

Discounts and Markups
06:09

Mixture Problems
07:30

An Introduction to Uniform Motion
03:22

Uniform Motion 1
08:53

Uniform Motion 2
09:58
+
Graphing Linear Equations
14 Lectures 01:35:11
An Introduction to the Coordinate Plane
08:55

Determining Solutions
04:30

Graphing (Table of Values)
11:50

X and Y Intercepts
04:32

Graphing (Intercepts Method)
05:04

Slope 1
06:07

Slope 2 (The Slope Formula)
07:21

Slope 3 (Special Cases)
07:17

Graphing (Slope-Intercept)
08:51

Writing Equations 1
06:32

Parallel Lines
04:59

Perpendicular Lines
03:46

Writing Equations 2
07:04

Graphing Linear Inequalities (Coordinate Plane)
08:23
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Properties of Exponents
8 Lectures 43:57
Product Rule for Exponents
03:50

Quotient Rule for Exponents
03:29

Power Rule for Exponents
06:22

Negative Exponents
10:15

Zero as an Exponent
04:23

Scientific Notation 1
08:38

Scientific Notation 2
04:00

Scientific Notation 3
03:00
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Polynomials
10 Lectures 54:41
Introduction to Polynomials
08:17

Adding Polynomials
05:09

Subtracting Polynomials
06:03

Products of Polynomials1 (Monomial X Monomial)
02:58

Products of Polynomials 2 (Monomial X Binomial)
03:04

Products of Polynomials 3 (FOIL)
08:35

Products of Polynomials 4 (Binomial X Trinomial)
05:16

Products of Polynomials 5 (Special Cases)
05:59

Division of Polynomials 1 (Monomials)
03:50

Division of Polynomials 2 (Polynomial Divided by Monomial)
05:30
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Factoring
12 Lectures 01:32:11
Prime Factorizations
09:20

Greatest Common Factor (GCF)
07:33

Factoring by Removing a GCF
08:56

Factoring by Removing a Binomial GCF
04:06

Factoring by Grouping
08:12


Factoring Trinomials (AC Method)
08:33

Factoring Binomials (Difference of Squares)
04:50

Prime Polynomials
07:14

Perfect Square Trinomials
07:50

A General Guide for Factoring
07:17

Zero Product Rule for Solving Quadratic Equations
07:51
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Rational Expressions
14 Lectures 01:49:09
Domain of Rational Expressions
09:00

Simplifying Rational Expressions
06:40

Multiplying Rational Expressions 1
07:22

Multiplying Rational Expressions 2
08:17

Dividing Rational Expressions
06:39

Long Division of Polynomials
07:38

Addition and Subtraction of Rational Expressions with LCD
07:43

LCD and Equivalent Expressions
11:01

Addition and Subtraction of Rational Expressions with Unlike Denominators
07:04

Addition and Subtraction of Rational Expressions with Unlike Denominators 2
09:40

Complex Fractions 1
08:32

Complex Fractions 2
06:47

Proportions 1
06:12

Proportions 2
06:34
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Radicals
3 Lectures 20:18
Simplifying Square Roots
07:58

Addition and Subtraction of Square Roots
07:01

Multiplication of Square Roots
05:19
1 More Section
About the Instructor
4.6 Average rating
62 Reviews
824 Students
2 Courses

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.

4.7 Average rating
70 Reviews
880 Students
6 Courses
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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