Basic Math: Lesson 3 - Operations on Numbers -- Part 3
This lesson consists of providing you with a Self-Tutorial on the typical operations done on numbers. These include: absolute value, opposites, addition, subtraction, multiplication, division and simple exponents. Order of Operations is covered in detail. I also explain how to use your graphing calculator to help you perform all these operations.
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Basic Math: Lesson 4 - Properties of Numbers
This lesson consists of providing you with a Self-Tutorial of the basic properties of numbers. These are the ones I discuss: The Reflexive Property of Equality, The Symmetric Property of Equality, The Transitive Property of Equality, The Substitution Property, The Additive Property of Equality, The Cancellation Law of Addition, The Multiplicative Property of Equality, Cancellation Law of Multiplication, The Zero-Factor Property, The Law of Trichotomy, The Transitive Property of Inequality, Properties of Absolute Value, The Closure Property of Addition, The Closure Property of Multiplication, The Commutative Property of Addition, The Commutative Property of Multiplication, The Associative Property of Addition, The Associative Property of Multiplication, The Identity Property of Addition, The Identity Property of Multiplication, The Inverse Property of Addition, The Inverse Property of Multiplication, The Distributive Law of Multiplication Over Addition, The Distributive Law of Multiplication Over Subtraction, The General Distributive Property and The Negation Distributive Property.
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Basic Math: Lesson 5 - Factors, Multiples & Divisibility
This lesson consists of giving you the necessary "preliminaries" to do fractions. The tutor explains what are factors, divisors, prime and composite numbers, how to do prime factorization, GCFs, LCMs, multiples, and the rules of divisibility. He also explains how to use your graphing calculator to help you find the GCF, LCM and multiples.
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Basic Math: Sieve of Eratosthenes
This lesson consists of showing you how to use the Sieve of Eratosthenes to find all prime numbers below a certain value. In this case, below 100.
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Basic Math: Lesson 6 - Introduction to Fractions
An informal introduction to why we need to learn about fractions. Lesson 6 consists of providing you with a Self-Tutorial on all about fractions. This lesson is different from the previous ones in that the use of printed Notes is integrated with the Video (other Notes may be used independently of the videos). This lesson is VERY detailed and covers the necessary areas to help students review the many aspects of fractions and fraction conversions. I also show you how to perform all the many different fraction operations and conversions using the TI-84+ Graphing Calculator.
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Basic Math: Lesson 6 - Video Clip #1 - Understanding Fractions
Concepts covered: Denominator, Numerator, Common Fraction, and Unit Fraction. I also teach you how to draw typical fractions on a circle.
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Basic Math: Lesson 6 - Video Clip #2 - Types of Fractions
Concepts covered: Proper Fraction, Improper Fraction, Mixed Number, and Complex Fraction.
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Basic Math: Lesson 6 - Video Clip #3 - Equivalent Fractions
Concepts covered: Like Fractions, Common Denominator, Equivalent Fractions, Reduced Fraction, Lowest Terms (or Simplest Form), The Cancellation Method, The GCF Method, and Higher Form.
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Basic Math: Lesson 6 - Video Clip #4 - The LCD & Fraction Comparisons
Concepts covered: Least (or Lowest) Common Denominator and learn how to compare the sizes of different fractions.
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Basic Math: Lesson 6 - Video Clip #5 - Other Fractional Expressions
Concepts covered: Decimal Fraction, Percentage, and Ratio.
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Basic Math: Lesson 6 - Video Clip #6 - Converting Fractional Expressions
Concepts covered: Step-by-Step directions on how to perform (by hand and using the calculator) the following conversions: Improper Fraction -> Mixed Number Mixed Number -> Improper Fraction Common Fraction -> Decimal Form Terminating Decimal -> Fraction Repeating Decimal -> Fraction (calculator only-- by hand is covered in Algebra) Decimal -> Percentage Common Fraction -> Percentage Percentage -> Decimal Percentage -> Common Fraction Converting Ratios
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Basic Math: Lesson 6 - Video Clip #7 - Arithmetic of Fractions: Multiplication
Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers.
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Basic Math: Lesson 6 - Video Clip #8 - Arithmetic of Fractions: Division
Concepts covered: Reciprocal, Inverting a Fraction, Division of Improper, Proper and Complex Fractions and Mixed Numbers. Converting Complex Fractions to Simple Fractions is also done here.
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Basic Math: Lesson 6 - Video Clip #9 - Arithmetic of Fractions: Addition
Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.
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Basic Math: Lesson 6 - Video Clip #10 - Arithmetic of Fractions: Subtraction
Concepts covered: Subtraction of Improper and Proper Fractions and also Mixed Numbers.
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Basic Math: Lesson 6 - Answers to Quiz Questions
Step-by-step answers to the quiz that is at the end of the Lesson Notes.
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Basic Math: Lesson 7 - Units of Measurement
This lesson consists of providing you with a Self-Tutorial of the basic units used in measurement. These are the ones I discuss: Units of Time, Units of Length (Metric and U.S.), Units of Area (Metric and U.S.), Units of Volume (Metric and U.S.), Units of Mass (Metric and U.S.), Units of Liquid Capacity (Metric and U.S.), Units of Dry Capacity (Metric and U.S.), and other miscellaneous Units. Conversion Formulas and Abbreviations are also listed. This is a "must have" Lesson for those moving on to solving Word Problems in Algebra and other higher math.
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Algebra: Introduction to Algebra
[NOTE: This video is only the first 11 minutes of the full lesson, please visit my website to purchase complete version] This lesson consists of providing you with a Self-Tutorial on what is algebra, what are variables, constants, coefficients, terms, and expressions. The tutor explains the use of proper notation, how to combine like terms, find the negation of an algebraic expression, how to evaluate an expression (by hand and by using your calculator), and finally, there is a VERY detailed section on how to translate English phrases into algebraic expressions.
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Algebra: Formulas From Geometry
This lesson consists of providing you with a basic review of the formulas from geometry you will most likely encounter in algebra (and other math classes like trigonometry and calculus). This is NOT a detailed, formal lesson. Formulas and concepts covered include: Angles (complementary & supplementary) Triangles (perimeter and area) Isosceles triangle Equilateral triangle Right triangle The Pythagorean Theorem Similar triangles Perimeter and area formulas for Quadrilaterals (square, rectangle, parallelogram, trapezoid). Some diagonal formulas too, where applicable. Circles (radius, diameter, circumference, area) Cube (diagonal of face, diagonal of cube, surface area and volume) Rectangular box [or Rectangular Parallelepiped] (diagonal of box, surface area and volume) Prisms (Volume) Pyramids (Volume) Cone (slant height, lateral surface area, total surface area, volume) Cylinder (lateral surface area, total surface area, volume) Sphere (surface area and volume)
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This video is to help students in math and science classes learn the Greek alphabet. The pronunciation is the English way of saying the letters in an American accent. It is NOT meant for those actually trying to learn Greek as a foreign language.
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