These videos are intended as educational materials for my VVC students.  You MAY download the files for your PERSONAL educational use only.  You may NOT change, edit or distribute these video files in any way.  You may NOT upload these files to any web location without the express written permission of Stephen Toner.

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FRACTIONS
Title
Time
Level
Type
Comments
Adding Fractions 3:16 Basic Math Lecture The basics of adding fractions.
Subtracting and Ordering Fractions 4:57 Basic Math Lecture Subtracting fractions and comparing fractions.
Order of Operations with Fractions 2:03 Basic Math Example example problem
MISC. BASIC MATHEMATICS
Title
Time
Level
Type
Comments
Metric Conversions 33:20 Basic Math Lecture A long video, but VERY much worth your time if you are studying the metric system.
Percentage Problems 8:06 Basic Math Lecture How to solve "sentence" percentage problems using proportions.
BASIC ALGEBRA PROPERTIES
Title
Time
Level
Type
Comments
Properties & Order of Operations 11:07 Intro Algebra Lecture Properties of Real Numbers & Order of Operations with Integers
Properties of Exponents 11:32 Intro Algebra Lecture Lots of examples worked out.
LINEAR EQUATIONS AND APPLICATIONS
Title
Time
Level
Type
Comments
Solving Linear Equations & Special Cases 5:13 Intro Algebra Lecture Solving multi-step linear equations. Also: equations with "no solution" or "all real numbers" as the solution.
Percentage Problems 8:06 Intro Algebra Lecture How to solve "sentence" percentage problems using proportions. Same video as listed above.
GRAPHING LINES
Title
Time
Level
Type
Comments
Intro to Graphing Lines 16:28 Intro Algebra Lecture Plotting points, using xy charts, and graphing by intercepts.
Slopes of Lines 12:03 Intro Algebra Lecture Find the slope of a line from its graph, from its equation, or between two given points. Also interpret the slope in the context of a word problem.
Finding Equations of Lines 12:22 Intro Algebra Lecture Find the equation of a line, given "clues" about the line.
Graphing y=mx+b 8:45 Intro Algebra Lecture Graphing lines using the slope-intercept method.
FACTORING AND RATIONAL EXPRESSIONS
Title
Time
Level
Type
Comments
Review of Factoring 26:02 Intro Algebra Lecture Summary of all of the methods of factoring in Introductory Algebra. Common mistakes that should be avoided. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
Solving Quadratic Equations by Factoring 17:29 Intro Algebra Lecture How to solve quadratic equations by factoring. Word problems involving quadratic equations. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
Simplifying Rational Expressions 10:12 Intro Algebra Lecture How to simplify rational expressions. Common errors to avoid. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
LCM and Adding Rational Expressions 20:15 Intro Algebra Lecture How to add rational expressions. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
Rational Equations 6:41 Intro Algebra Lecture How to solve rational equations. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
Complex Fractions 8:30 Intro Algebra Lecture How to simplify complex fractions. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
SYSTEMS OF LINEAR EQUATIONS AND APPLICATIONS
Title
Time
Level
Type
Comments
Mixture Problems 14:13 Intro Algebra Lecture My unique way of solving mixture (word) problems.
Motion Problems 15:09 Intro Algebra Lecture Solving distance, rate, and time (word) problems. This is a rather long video. You might want to right-click and choose "save as" to store this to your hard drive.
ADVANCED GRAPHING TECHNIQUES
Title
Time
Level
Type
Comments
Graphing Parabolas - part 1 6:45 Interm. Algebra Lecture A short-cut way to graph parabolas of the form f(x)=a(x-h)^2+k.
Graphing Parabolas - part 2 12:00 Interm. Algebra Lecture Completing the square to find the vertex of a parabola. Vertex Formula.
Descartes' Rule of Signs 4:13 College Algebra Lecture Analysis of the number of positive, negative or complex solutions of a polynomial function using Descartes' Rule of Signs.
Graphing Rational Functions - Part 1 31:12 College Algebra Lecture Graphing rational functions.
Graphing Rational Functions - Part 2 8:21 College Algebra Lecture Graphing rational functions, including oblique asymptotes.
ADVANCED SYSTEMS OF EQUATIONS
Title
Time
Level
Type
Comments
Systems of Nonlinear Equations 7:30 College Algebra Lecture Solving systems of nonlinear equations.
Dependent Systems of Equations 12:16 College Algebra Lecture Solving systems of equations which don't have a "nice" (x,y,z) solution set.
CONIC SECTIONS
Title
Time
Level
Type
Comments
Conic Sections - An Overview 4:54 College Algebra Lecture Overview of conic sections as planar cross-sections of a cone.
Conic Sections - The Parabola 17:46 College Algebra Lecture Graphing parabolas using the focus and directrix.
Conic Sections - The Ellipse 26:55 College Algebra Lecture Graphing ellipses. Also included: the derrivation of the formula of an ellipse.
How to Draw an Ellipse 0:35 College Algebra Link Link to a short video on YouTube.
Conic Sections - The Hyperbola 12:22 College Algebra Lecture Graphing hyperbolas, dentifying the foci and asumptotes.
MISC. ADVANCED TOPICS
Title
Time
Level
Type
Comments
Partial Fraction Decomposition 17:58 College Algebra Lecture Several cases considered.
Sequences and Series 44:01 College Algebra Lecture Recursive, arithmetic and geometric sequesnces and series are expolred.
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