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Saturday, January 29, 2011

Basic Math Lesson VideoLog



Basic Math: Lesson 1 - Numbers

This lesson consists of providing you with a Self-Tutorial on all about the classification and sets of numbers. Learn what are natural numbers, integers, rational numbers and more. I also explain how to use your graphing calculator to input all types of numbers (integers, fractions, square roots, etc.).

Basic Math: Lesson 2 - Equalities & Inequalities

This lesson consists of providing you with a Self-Tutorial on the basics of equalities and inequalities. I go over how to write results in interval notation, inequality notation, and set (set-builder) notation. I also explain in the printed notes how to use your graphing calculator to help you make comparisons between numbers.

Basic Math: Lesson 3 - Operations on Numbers -- Part 1

Part 1 of 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.

Basic Math: Lesson 3 - Operations on Numbers -- Part 2

Part 2 of 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.

Basic Math: Lesson 3 - Operations on Numbers -- Part 3

Part 3 of 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.

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.

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.

Basic Math: Lesson 6 - Introduction to 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.

Basic Math: Lesson 6 - 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.

Basic Math: Lesson 6 - Video Clip #2 - Types of Fractions

Concepts covered: Proper Fraction, Improper Fraction, Mixed Number, and Complex Fraction.

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.

Basic Math: Lesson 6 - #4 - LCD & Fraction Comparisons

Concepts covered: Least (or Lowest) Common Denominator and learn how to compare the sizes of different fractions.

Basic Math: Lesson 6 - #5 - Other Fractional Expressions

Concepts covered: Decimal Fraction, Percentage, and Ratio.

Basic Math: Lesson 6 -#6 - Converting Fractional Expressions

Concepts covered: Step-by-Step directions on how to perform (by hand and using the calculator) most fractional conversions.

Basic Math: Lesson 6 - #7 - Multiplication of Fractions

Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers.

Basic Math: Lesson 6 - #8 - Division of Fractions

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.

Basic Math: Lesson 6 - #9 - Addition of Fractions

Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.

Basic Math: Lesson 6 - #10 - Subtraction of Fractions

Concepts covered: Subtraction of Improper and Proper Fractions and also Mixed Numbers.

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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