Algebra WON & Algebra TOO Video Courses

$20 Total. For Life.

Here Only.

Parents, Sign Up your learner for both algebra courses for $20.

Includes Algebra WON -- Lifetime Access

You’ll get access to all the videos, pdfs, and other course materials in the expandable topics list by clicking the blue button above or below.

Topics for Algebra WON Course

There are 2-10 minute video lessons for about 90 topics, plus worksheets.

  • Welcome
    • How to Use These Videos
    • The Most Important Videos
    • The Most Important Lesson
    • Staying Connected
  • Problem Set 1: Numbers, Order of Operations
    • Order of Operations
    • PS1.1 Addition in Any Order
    • PS1.2 Multiplication with Negatives
    • PS1.3 Multiplication Identity and Negation
    • PS1.4 Division with Negatives
    • PS1.5 Division Identity and Negation
    • PS1.6 Example with Mixed Operations
    • PS1.7 More Mixed Operations
    • PS1.8 Multiplying Repeated Negative Numbers
  • Problem Set 2: Numbers, Distributing, Exponents 
    • Learning Patterns in Math
    • PS2.1  Squares
    • PS2.2 Parentheses Prevent Ambiguity
    • PS2.3 Cubes
    • PS2.4 Powers of Ten
    • PS2.5 Powers of Negative Two
    • Analogy for Why We Distribute
    • PS2.6 Distributing a Negative Sign
    • PS2.7 Typical Distribution (IMPORTANT)
    • PS2.8 Zero and One to a Power
    • PS2.9 Powers Multiplied
    • PS2.10 Powers Raised to a Power
  • Problem Set 3: Powers of Ten, Absolute Value & Square Roots
    • Scientific Notation
    • PS3.1 Scientific Notation Is Powers of Ten
    • PS3.2 Negative Powers
    • PS3.3 Base for Positive and Negative Numbers
    • PS3.4 Converting Simple Numbers to Scientific Format
    • PS3.5 The Decimal Point
    • PS3.6 Converting General Numbers to Scientific Format
    • Two Answers for One Problem
    • PS3.7 Absolute Value
    • PS3.8 Almost a Real Algebra Problem
    • PS3.9 Square Roots
  • Problem Set 4: Fractions the Easy Way
    • Fractions, Oh My!
    • PS4.1 Negative Exponents Are Fractions
    • PS4.2 Exponents that Cancel Out
    • PS4.3 How to Multiply Fractions
    • PS4.4 Fractions Inside Fractions
    • PS4.5 Cross Multiplication (SUPER USEFUL)
    • PS4.6 Adding Fractions
  • Problem Set 5: Finally Some Algebra
    • Solving for Unknown x
    • PS5.1 Solving for x with Identities
    • PS5.2 Solving for x
    • PS5.3 Collecting Terms
    • PS5.4 Distribution in Algebra
    • PS5.5 Cross Multiplication to Solve for x
    • PS5.6 Two Solutions to One Problem
    • PS5.7 Squares and Cubes
  • Problem Set 6: Factoring Perfect Squares
    • PS6.1 Distributing Perfect Squares (NECESSARY TO MOVE ON)
    • PS6.2 Factoring Perfect Squares (NECESSARY TO MOVE ON)
    • PS6.3 Distributing a Constant for Perfect Squares
    • PS6.4 Factoring a Constant from Perfect Squares
    • PS6.5 Distributing Perfect Squares with a Cubic
    • PS6.6 Factoring Perfect Squares with a Cubic
    • PS6.7 Factoring Perfect Squares with a Quartic
    • PS6.8 Distributing Perfect Squares with Square Roots
    • PS6.9 Factoring Perfect Squares with Square Roots
    • PS6.10 Distributing Perfect Squares with Reversed Signs
    • PS6.11 Factoring Perfect Squares with Reversed Signs
  • Problem Set 7: Factoring Expressions
    • Factoring is Systematic
    • PS7.1 Expand Means Distribute
    • PS7.2 Factoring Undoes Distributing
    • PS7.3 More Expansion
    • PS7.4 More Factoring
    • PS7.5 Expanding with Two Plus Signs (NECESSARY TO MOVE ON)
    • PS7.6 Factoring with Two Plus Signs (NECESSARY TO MOVE ON)
    • PS7.7 Expanding with Two Minus Signs
    • PS7.8 Factoring with Two Minus Signs
    • PS7.9 Expanding with Two Opposite Signs
    • PS7.10 Factoring with Two Opposite Signs
  • Problem Set 8: Factoring Equations
    • Equations vs. Expressions
    • PS8.1 Solving Perfect Squares
    • PS8.2 Solving for One vs Two Answers
    • PS8.3 Solving by Factoring a Constant
    • PS8.4 Solving with Factors with Two Plus Signs
    • PS8.5 Solving with Factors with Two Minus Signs
    • PS8.6 Solving with Factors with Two Opposite Signs
  • Problem Set 9: The Quadratic Equation
    • There Can Be Zero, One, or Two Answers
    • PS9.1 Quadratic Equation with Easily Factored Answers
    • PS9.2 Right Hand Side Must Be Zero 
    • PS9.3 An Easier Way to Solve Perfect Squares
    • PS9.4 Some Nasty, Correct Answers Plus a Joke
  • Finishing Up
    • Certificate of Completion
    • Stay Connected

Includes Algebra TOO -- Lifetime Access

You’ll get access to all the videos, pdfs, and other course materials in the expandable topics list by clicking the blue button above or below.

Topics for Algebra TOO Course

There are 2-10 minute video lessons for about 150 topics, plus worksheets.

  • Getting Started
  • Problem Set 1: Plotting Lines by Hand
  • Problem Set 2: Plotting Lines and Simple Parabolas with a Computer
    • Plotting Lines and Simple Parabolas with a Computer
    • PS2.1 Plotting Symmetric Lines by Hand
    • Graphing with desmos.com/calculator
    • PS2.2 Plotting Symmetric Lines with a Computer
    • PS2.3 Plotting More Symmetric Lines with a Computer
    • PS2.4 Horizontal and Vertical Lines
    • PS2.5 Inscribing a Shape with Lines
    • PS2.6 Analysis of a Parabola
    • PS2.7-8 Plotting Parabolas with a Computer
  • Problem Set 3: Plotting Polynomial Functions
    • Plotting Polynomial Functions
    • PS3.1 Domain, Range and Functions
    • PS3.2 Four basic parabolas
    • PS3.3 Saying f(x) Is the Same as y… for Functions
    • PS3.4-5 Lines are Functions (with One Exception)
    • PS3.6 Four Basic Absolute Values
    • PS3.7 Four Basis Cubics
    • PS3.8 Zeros for Cubics
    • PS3.9 Multiplicity for Cubics
    • PS3.10 Cubics That Aren’t Already Factored
    • PS3.11 Limiting Behavior for Even Powers
    • PS3.12 Limiting Behavior for Odd Powers
    • PS3.13 Polynomials with Multiplicity 1
    • PS3.14 Polynomials with Multiplicity 1, 2 & 3
  • Problem Set 4: Plotting Parabolas by Hand Using the Vertex
    • Plotting Parabolas by Hand Using the Vertex
    • PS4.1 Plotting Some Points on a Parabola
    • PS4.2 f(x) Is the Same Thing as y
    • PS4.3-4 Wider and Narrower Parabolas
    • PS4.5-6 Moving the Parabola Up and Down
    • PS4.7-8 Moving the Downward Opening Parabola Up and Down
    • PS4.9 Moving the Parabola Left
    • PS4.10 Moving the Parabola Right
    • PS4.11 Plotting a Parabola with the Vertex and Checking the Zeros
    • PS4.12 Plotting a Parabola with the Vertex and Zeros
  • Problem Set 5: Modeling with the Parabola
    • Modeling with the Parabola
    • PS5.1 Parabolic Flight Paths
    • PS5.2 The Fully Adjustable Parabola 
    • PS5.3 Satellite Dish Designs
  • Problem Set 6: Plotting Conic Sections 
    • Plotting Conic Sections
    • PS6.1 Distance Formula
    • PS6.2-3 The Circle
    • PS6.4 Radius and Center for Circles
    • PS6.5 Standard Form for the Circle 
    • PS6.6 The Ellipse
    • How to Make an Ellipse
    • PS6.7 Standard Form for the Ellipse
    • PS6.8 Plotting Ellipses
    • PS6.9 Plotting Vertical Asymptotes
    • PS6.10 Analyzing Asymptotes 
    • PS6.11-12 Standard Form for the Hyperbolas
  • Problem Set 7: Logs and Exponential Functions
    • Logarithms are Exponents
    • PS7.1-4 Exponents Stuff You Already Know
    • PS7.5-6 Log Means the Exponent
    • PS7.7 Semi-log plots: Element Abundance
    • PS7.8 Log scale: The Richter Scale
    • PS7.9 Log Table: Positive Values
    • PS7.11 Log Table: Negative Values
    • PS7.12 and PS 7.10 More Logs
    • PS7.13 Logs of Scientific Numbers
    • PS7.14-15 Logs with Other Bases
    • PS7.16a Exponential Functions and e (Euler’s Number)
    • How Many Digits in a Big Number?
    • PS7.17 Number of Digits
    • PS7.18 pH from Acidity
    • PS7.19 Acidity from pH
    • PS7.20 More About pH
    • PS7.21a Compound Interest Plots
    • PS7.21b Compound Interest Calculation
    • P7.22a Mortgage Payments
    • P7.22b Inflation
    • P7.23a Cell Growth Plots
    • P7.23b Cell Growth Calculation
    • P7.24 Radioactive Decay
    • P7.24 Radioactive Decay Calculation
    • P7.25 Radiocarbon Dating
  • Problem Set 8: Vectors and Complex Numbers
    • Roadmap for Vectors and Complex Numbers
    • PS8.1 Row and Column Vectors
    • PS8.2-4 Notation, Dimensions and Transpose
    • PS8.5a Plotting Vectors 
    • PS8.5b (part 1) Plotting Vectors
    • PS8.5b (part 2) Plotting Vectors
    • PS8.6 Vector Addition
    • PS8.7a A Voyage by Boat
    • PS8.7b A Voyage by Plane
    • PS8.7c Resultant Vectors
    • PS8.8 Scalar Multiplication
    • PS8.9 Unit Vectors
    • PS8.10 Dot (Inner) Product
    • PS8.11 Inner Dimensions Must Match for Dot Product
    • PS8.12-13 Real vs Imaginary vs Complex Numbers
    • PS8.14 Imaginary Numbers from Square Roots of Negative Numbers
    • PS8.15 Simplifying Complex Numbers
    • PS8.16 Adding Complex Numbers
    • PS8.17 Multiplying Complex Numbers
    • PS8.18 Powers for Complex Numbers
    • PS8.19 Distributing Complex Numbers
    • PS8.20 Plotting Parabolas (No Zeros)
    • PS8.20 Complex Solutions for the Quadratic
    • PS8.20 Using a Quadratic Solver
    • PS8.21-22 A Little Bit About Series
  • Problem Set 9: Matrices and Systems of Equations
    • Matrix Analysis
    • PS9.1 Matrix Rows, Columns, Transpose
    • PS9.2 Matrix Multiplication
    • PS9.3 Multiplying to Produce a 2×2 Identity Matrix
    • PS9.4 Multiplying by a 2×2 Identity Matrix
    • PS9.5 Inverse of a 2×2 Matrix
    • PS9.6ab Solving a 2×2 System using Substitution
    • PS9.6c Solving a 2×2 System using Matrices
    • PS9.6d Solving a 2×2 System using the Computer
    • PS9.7 Setting Up the Matrices
    • PS9.7 Solving with the Computer
    • PS9.8 More Matrix Multiplication
    • PS9.9 Multiplying to Produce a 3×3 Identify Matrix
    • PS9.10 Multiplying by a 3×3 Identity Matrix
    • PS9.11 Inverse of a 3×3 Matrix (very tedious)
    • PS9.12ab Solving a 3×3 System using Substitution
    • PS9.12c Solving a 3×3 System using Matrices
    • PS9.12d Solving a 3×3 System using a Computer
    • PS9.12d Solving a 3×3 System using a Computer (Audio Fixed)
    • PS9.13 Setting Up the Matrices
    • PS9.13 Solving with the Computer

How many times have numbers made you uncomfortable? Has your learning ever stopped in its tracks because your head was spinning after seeing a calculation you didn’t understand? Have you ever heard people talking in numbers that made absolutely no sense to you?

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I made this course because it saves me time as a teacher. I love teaching science classes, which often involve some element of math and algebra. Unfortunately, a lack of math skills has detracted from learning in more than one of my classrooms. I hear this is rather common. Instead of exhausting myself teaching math one-on-one, I produced this well-organized, self-paced algebra course so learners can get up to speed quickly, and I can continue teaching the science courses that I enjoy more than teaching math. You can learn more about my background here

This pair of self-paced algebra course will teach you all the algebra skills you will really need outside of an actual math class. After all, what’s the point of learning math that will only ever be used in a math class? The approach of this course is to learn algebra by watching, writing, and learning the patterns of math. That’s all that math is: it’s just a pattern. This course is designed for learners new to algebra; however, it is also a handy review for learners studying for standardized exams like the SAT/ACT or thinking of pursuing a college degree that may at some point involve a calculation or two. You’ll also find some motivation for where and why math is used out there in the real world. 

There are 18 follow-along problem sets in a series of videos lasting under ten minutes each. You’ll get the super printer friendly pdf files of the problem sets, so that you don’t need to waste time copying problems. Just follow along and learn at your own pace, pausing and fast forwarding as appropriate. Topics for Algebra WON and Algebra TOO are listed in the expandable navigation menu, and you can instantly access all these materials by clicking on the blue button below or also near the top of this page.

Sign Up for Both Algebra Courses for $20 Total. For Life.

Parents, Sign Up your learner for both algebra courses for $20.