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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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 | ||||
| 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. |