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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.).
39 minutes of video. 14 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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.).
39 minutes of video. 14 pages of printable notes. 1 DVD-R disc.
Price: $12.99
Video Brain Teasers Collection
This is a collection of the first 58 Video Brain Teasers that have been posted here individually on this website (and elsewhere). These consist of recreational mental puzzles/problems dealing with the arrangement of matchsticks, coins, and other items. Also included is a pencil drawing game, a riddle, many Optical Illusions, a "Hidden Image" problem, a "Lateral Thinking" puzzle, and quite a few "Find the Twin" problems.
The puzzles on the Video DVD do not have the background music, only the individual puzzles in .M4V format have it in the DVD-ROM folder.
40 minutes of video. 18 pages of "Find the Twins" Puzzles in PDF Format. 1 DVD-R disc.
Price: $14.99
This is a collection of the first 58 Video Brain Teasers that have been posted here individually on this website (and elsewhere). These consist of recreational mental puzzles/problems dealing with the arrangement of matchsticks, coins, and other items. Also included is a pencil drawing game, a riddle, many Optical Illusions, a "Hidden Image" problem, a "Lateral Thinking" puzzle, and quite a few "Find the Twin" problems.
The puzzles on the Video DVD do not have the background music, only the individual puzzles in .M4V format have it in the DVD-ROM folder.
40 minutes of video. 18 pages of "Find the Twins" Puzzles in PDF Format. 1 DVD-R disc.
Price: $14.99
Algebra: Solving Linear Equations - Part 1: The
Basics
Lesson consists of providing you with a Self-Tutorial on how to solve linear equations. Tutor discusses what is an Equation, Solution, Solution Set, Equivalent Equations, Identity, Contradictions, Conditional Equations, Linear Equations, the Standard Form of a Linear Equation. I show you how to actually SOLVE linear equations going step-by-step. I don't skip steps. I review some of the properties of Equality here too. I remind you to check the work done and how to solve linear equations using a calculator. At the end, you will know how to easily solve equations that look like:
2[y - (4y - 1)] = 5 - 9y
No word problems are done here. This is shown in DETAIL in Part 2 of the Lesson.
89 minutes of video. 44 pages of printable notes. 2 DVD-R discs.
Price: $19.99
Lesson consists of providing you with a Self-Tutorial on how to solve linear equations. Tutor discusses what is an Equation, Solution, Solution Set, Equivalent Equations, Identity, Contradictions, Conditional Equations, Linear Equations, the Standard Form of a Linear Equation. I show you how to actually SOLVE linear equations going step-by-step. I don't skip steps. I review some of the properties of Equality here too. I remind you to check the work done and how to solve linear equations using a calculator. At the end, you will know how to easily solve equations that look like:
2[y - (4y - 1)] = 5 - 9y
No word problems are done here. This is shown in DETAIL in Part 2 of the Lesson.
89 minutes of video. 44 pages of printable notes. 2 DVD-R discs.
Price: $19.99
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)
BONUS Lesson: Greek Alphabet
For use by math and science students, NOT for foreign language use.
23 minutes of video. 10 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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)
BONUS Lesson: Greek Alphabet
For use by math and science students, NOT for foreign language use.
23 minutes of video. 10 pages of printable notes. 1 DVD-R disc.
Price: $12.99
Algebra: Introduction To Algebra
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.
100 minutes of video. 43 pages of printable notes. 2 DVD-R discs.
Price: $19.99
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.
100 minutes of video. 43 pages of printable notes. 2 DVD-R discs.
Price: $19.99
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.
32 minutes of video. 21 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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.
32 minutes of video. 21 pages of printable notes. 1 DVD-R disc.
Price: $12.99
Basic Math: Lesson 6 - 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. Here is how the lesson is broken down:
• Introduction to Fractions - An informal introduction to why we need to learn about fractions.
• 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.
• Video Clip #2 - Types of Fractions - Concepts covered: Proper Fraction, Improper Fraction, Mixed Number, and Complex Fraction.
• 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.
• Video Clip #4 - The LCD & Fraction Comparisons - Concepts covered: Least (or Lowest) Common Denominator and learn how to compare the sizes of different fractions.
• Video Clip #5 - Other Fractional Expressions - Concepts covered: Decimal Fraction, Percentage, and Ratio.
• 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
• Video Clip #7 - Arithmetic of Fractions: Multiplication - Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers.
• 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.
• Video Clip #9 - Arithmetic of Fractions: Addition - Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.
• Video Clip #10 - Arithmetic of Fractions: Subtraction - Concepts covered: Subtraction of Improper and Proper Fractions and also Mixed Numbers.
• Answers to Quiz Questions - Step-by-step answers to the quiz that is at the end of the Lesson Notes.
220 minutes of video. 83 pages of printable notes. 4 DVD-R discs.
Price: $24.99
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. Here is how the lesson is broken down:
• Introduction to Fractions - An informal introduction to why we need to learn about fractions.
• 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.
• Video Clip #2 - Types of Fractions - Concepts covered: Proper Fraction, Improper Fraction, Mixed Number, and Complex Fraction.
• 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.
• Video Clip #4 - The LCD & Fraction Comparisons - Concepts covered: Least (or Lowest) Common Denominator and learn how to compare the sizes of different fractions.
• Video Clip #5 - Other Fractional Expressions - Concepts covered: Decimal Fraction, Percentage, and Ratio.
• 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
• Video Clip #7 - Arithmetic of Fractions: Multiplication - Concepts covered: Multiplication of Improper and Proper Fractions and also Mixed Numbers.
• 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.
• Video Clip #9 - Arithmetic of Fractions: Addition - Concepts covered: Addition of Improper and Proper Fractions and also Mixed Numbers.
• Video Clip #10 - Arithmetic of Fractions: Subtraction - Concepts covered: Subtraction of Improper and Proper Fractions and also Mixed Numbers.
• Answers to Quiz Questions - Step-by-step answers to the quiz that is at the end of the Lesson Notes.
220 minutes of video. 83 pages of printable notes. 4 DVD-R discs.
Price: $24.99
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.
38 minutes of video. 20 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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.
38 minutes of video. 20 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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.
23 minutes of video. 12 pages of printable notes. 1 DVD-R disc.
Price: $12.99
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.
23 minutes of video. 12 pages of printable notes. 1 DVD-R disc.
Price: $12.99
Basic Math: Lesson 3 - Operations On
Numbers
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.
125 minutes of video. 44 pages of printable notes. 2 DVD-R discs.
Price: $19.99
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.
125 minutes of video. 44 pages of printable notes. 2 DVD-R discs.
Price: $19.99
Basic Math: Lesson 5 - Factors, Multiples &
Divibility
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.
BONUS Lesson: 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.
52 minutes of video. 19 pages of printable notes. 1 DVD-R disc.
Price: $15.99
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.
BONUS Lesson: 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.
52 minutes of video. 19 pages of printable notes. 1 DVD-R disc.
Price: $15.99
Algebra: Solving Linear Equations - Part 2:
Applications
This lesson consists of providing you with a Self-Tutorial on how to solve typical linear word problems (story problems or applied problems). The tutor shows you how to solve for a specific variable in formulas. He also discusses how to covert a repeating decimal into a fraction (which was skipped in Basic Math: Lesson 6 -"Fractions") and will teach you how to convert units of measurement.
Examples of word problems done include:
Finding a number based on certain criteria.
Word problems involving some geometry (triangle, rectangle, circle).
Age problems.
Mixture problems.
Money problems (story of my life!).
Rate-Time-Distance problems.
Percent Equations/problems.
Ratio and Proportion (concepts and solving problems, including similar triangles).
Problems dealing with Unit Price.
180 minutes of video. 41 pages of printable notes. 4 DVD-R discs.
Price: $29.99
This lesson consists of providing you with a Self-Tutorial on how to solve typical linear word problems (story problems or applied problems). The tutor shows you how to solve for a specific variable in formulas. He also discusses how to covert a repeating decimal into a fraction (which was skipped in Basic Math: Lesson 6 -"Fractions") and will teach you how to convert units of measurement.
Examples of word problems done include:
Finding a number based on certain criteria.
Word problems involving some geometry (triangle, rectangle, circle).
Age problems.
Mixture problems.
Money problems (story of my life!).
Rate-Time-Distance problems.
Percent Equations/problems.
Ratio and Proportion (concepts and solving problems, including similar triangles).
Problems dealing with Unit Price.
180 minutes of video. 41 pages of printable notes. 4 DVD-R discs.
Price: $29.99
NEW!
Algebra: Solving Linear
Inequalities
This lesson consists of providing you with a Self-Tutorial on how to solve typical linear inequalities of the form: ax + b > c (any of these symbols: <, >, ≤, ≥ can be used). The tutor goes over how to draw number line graphs. Also covered is the Double Inequality (a < x < b). Properties of Inequalities are reviewed. Answers are presented in Inequality Notation, Interval Notation, and Set Notation. Compound Linear Inequalities are solved and graphed. Finally, English Phrases are translated into inequalities and some Word Problems are solved.
142 minutes of video. 44 pages of printable notes. 3 DVD-R discs.
Price: $24.99
This lesson consists of providing you with a Self-Tutorial on how to solve typical linear inequalities of the form: ax + b > c (any of these symbols: <, >, ≤, ≥ can be used). The tutor goes over how to draw number line graphs. Also covered is the Double Inequality (a < x < b). Properties of Inequalities are reviewed. Answers are presented in Inequality Notation, Interval Notation, and Set Notation. Compound Linear Inequalities are solved and graphed. Finally, English Phrases are translated into inequalities and some Word Problems are solved.
142 minutes of video. 44 pages of printable notes. 3 DVD-R discs.
Price: $24.99
Copyright © 2009 by Luis Anthony Ast • All Rights Reserved