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www.arithmetize.com - A Resolved Question About Mathemetics

The 4th dimension and beyond! A discussion of both the physical and metaphysical dimensions and seperation of real and imaginary terms.
The Laws of Physics themselves were not decided by anyone, they were   more...discovered through experiment and calculation. These mathematical formulae describe the relations between various elements of our physical universe. How space is related to time, how mass is related to energy, how force is related to mass and acceleration.
and the laws of physics aren't like some laws that a judge decides in a court room (created by the rich to govern the poor) People break those laws all the time, the stupid ones get caught and go to jail.
The LAWS of physics cannot be broken, assuming we have a correct theory. When we do find a law violation it means we need a new theory. But there are certain laws that have been tested over and over for hundreds of years and have never broken. These are called Universal Laws. These laws derive directly from the mathematics of the universe itself, down to the fundamental creation of mathematics itself. This is the Holy Grail of Physics, a Grand Unified Theory. A Theory of EVERYTHING.
So far we have string theory (which is totally incomplete), and the Big Bang Theory...
We still don't know what these strings are actually made of, and we don't know what created the Big Bang.
All we know is that at the beginning of time there was nothing and somehow everything was created from nothing.
Then we have mathematics which tell us that if we have nothing and we divide it by nothing we get everything.  less

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A math geek finds the answer to an exam question in music.

A commercial I made for my Pre-Calc class advertising a math related board game we had to make (which is a math version of Jenga-- Tringa, clever, I know).

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   more...trying to learn Greek as a foreign language.  less

[NOTE: This video is only the first 11 minutes of the full lesson, please visit my web site to purchase complete version] This lesson consists of providing you with a Self-Tutorial on what is algebra,   more...what are variables, constants, coefficients, terms, and expressions. I explain 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.  less

Additional tips to help you earn better grades in your math class.

General tips on how to better use your calculator

Learn the key to be successful in your math class.

Tools to help you with your math studies.

Tips on how to better use your math textbook.

Tips to help you with your math studies.

[NOTE: This video is only the first 18 minutes of the full lesson, please visit my web site to purchase complete version] Lesson consists of providing you with a Self-Tutorial on how to solve linear equations.   more...I discuss 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.  less

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   more...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)  less

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   more...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.  less

Step-by-step answers to the quiz that is at the end of the Lesson Notes.

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

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

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.

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

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   more...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  less

Concepts covered: Decimal Fraction, Percentage, and Ratio.