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Beginning Algebra: Building a Foundation

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The curriculum of the Beginning Algebra course correlates with high school algebra 1 and college developmental math.

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- 11.5 hours on-demand video
- 5 Supplemental Resources
- Full lifetime access
- Access on mobile and TV

- Certificate of Completion

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

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

109 Lectures

12:07:55
+
–

Real Numbers
11 Lectures
01:23:21

Preview
12:36

The Real Number Line

06:43

An Introduction to Inequalities

07:42

Preview
06:50

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

+
–

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

+
–

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

+
–

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

+
–

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

+
–

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

+
–

Radicals
3 Lectures
20:18

Simplifying Square Roots

07:58

Addition and Subtraction of Square Roots

07:01

Multiplication of Square Roots

05:19

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About the Instructor

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 12 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

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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