Daniel Kopsas
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Home: 5-Minute Math Tutorial Videos
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Home: 5-Minute Math Tutorial Videos
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Technical Math Tutorials
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Units
Converting Units Using Conversion Factors
Units for Measuring Length, Area, and Volume
Significant Digits and Tolerance
Measurement, Accuracy, and Significant Digits
Finding the Precision of a Measurement
Greatest Possible Error and Rounding Measurements
Calculating Percent Error and Determining if One Measurement is Better Than Another
Using a Tolerance with a Measurement
Multiplying and Dividing Measurements
Geometry: 2-Dimensional and 3-Dimensional Formulas
The Area of a Triangle
The Pythagorean Theorem
The Area of a Trapezoid
Circles: Radius, Diameter, Circumference, Area
Right Prisms: Volume and Surface Area
Right Circular Cylinders: Volume and Surface Area
Pyramid Volume
Right Circular Cones: Volume and Surface Area
Spheres: Volume and Surface Area
Interesting; Not Created by Me:
How to Turn a Sphere Inside Out
Old videos start here (convert to YouTube)
Solving Equations and Formulas
Solving One-Step Linear Equations
Solving Multi-Step Linear Equations
(the second example has an error; the -1x should be -7x)
Fraction Basics
Clearing Fractions in Equations
Clearing Fractions Where the Numerator Has Two Terms
Clearing Single-Term Denominators Containing a Variable
Translating Words into Algebraic Symbols
Solving Word Problems with Linear Equations
Solving a Formula for a Particular Variable
Using a Calculator for Reciprocals
Products that Equal Zero
Solving Quadratic Equations by Factoring
Solving Quadratic Equations using the Quadratic Formula
Polynomials
Adding and Multiplying Polynomials
(YouTube)
Factoring
What is Factoring?
Factoring Out a Greatest Common Factor (GCF)
Factoring Out a Negative
Factoring by Grouping
The Idea Behind Factoring Trinomials by Grouping
(YouTube)
Examples: Factoring Trinomials by Grouping
(YouTube)
Factoring a Difference of Two Squares
(YouTube)
Factoring Perfect Square Trinomials
(YouTube)
Ratios, Rates, Proportions
Ratios
Rates
Proportions
Direct Variation Using Proportions
Inverse Variation Using Proportions
(On the last example, the question should be how many hours will it take 3 landscapers.)
Graphs and Equations of Lines
Introduction to the Rectangular Coordinate Plane
Graphing a Linear Equation in Two Variables by Plotting Points
Graphing a Horizontal or Vertical Line
x- and y-Intercepts of a Line
Basic Fraction Review: Zero in Fractions, Negative Fractions, Reducing Fractions
(YouTube)
Finding the Slope of a Line Given its Graph
Finding the Slope of a Line Given Two Points on the Line
(In one example, I copy a -3 as 3.)
Introduction to Slope-Intercept Form of a Linear Equation in Two Variables
Re-writing the Equation of a Line in Slope-Intercept Form
(YouTube)
Determining the Equation of a Line Given Some of Its Properties
(YouTube)
Graphing a Line With a Point on the Line and the Slope of the Line
Point-Slope Form of a Linear Equation in Two Variables
Writing the Equation of a Line That Passes Through Two Points
Solving and Graphing Quadratic Equations
Solving Quadratic Equations using the Quadratic Formula
Graphing Quadratic Equations in Two Variables by Using a Formula to Find the Vertex
(YouTube)
Trigonometry
The Pythagorean Theorem
Right-Triangle Trigonometry
Using Trigonometric Functions to Find the Side of a Right Triangle
Using Inverse Trigonometric Functions to Find an Angle of a Right Triangle
Graphing Basic Sine and Cosine Equations
Law of Sines
Finding Parts of an Oblique Triangle Using the Law of Sines
Law of Cosines
Using Law of Cosines to Find a Side of a Triangle
Using Law of Cosines to Find an Angle
Angles in the Coordinate Plane
(YouTube)
Reference Right Triangles and Trigonometric Functions
(YouTube)
The Binary and Hexadecimal Number System
The Binary Number System
The Hexadecimal Number System
(I did the arithmetic wrong in the example where the answer is 2727. It should be 4007.)
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