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Chapter 1 - Analyzing Equations and Inequalities
 

General Information
The "Chapter" Pages will contain links to specific topics covered in class or during homework. These items are intended to augment your text and notes and are also good starting points for exploring the topic in greater depth. Forms, worksheets, data, etc., may also be included within the appropriate "Chapter Pages." Links will usually be added as material is covered. Use your browser's back feature, as needed, to return.

 
Order of Operations
 
Pythagorean Theorem at Manipula Math
This site in Japan is uses the Java programming language to provide many high quality and well-designed math exercises that use the power of the computer to help you visualize the underlying math concepts. There are several related to the Pythagorean Theorem (click here). My favorite one related to the Pythagorean Theorem is this one (click here). It is a visual "puzzle" that duplicates an exercise we did with a 3 x 4 x 5 triangle in class, but this one works for any right triangle and is a lot more fun. Try it! Tip: the red dot is a little hard to see when you are starting, drag it to set the desired size of the 3 squares.
 
Prime Number List and Prime Factorization Machine
At this web site (click here-then the link for the List of Primes or Prime Factorization Machine), you can generate a list of prime numbers. You just have to tell it how many you want. You can also perform a prime factorization of any number. It is provided by by James Brennan at Boise State. You will find it faster than doing the Sieve of Eratosthenes by hand.
 
The Prime Pages
If you like primes, this is the site for you (click here). The site is by Chris Caldwell at the University of Tennessee at Martin.
 
Properties of Real Numbers
A short tutorial (click here). Try reviewing these rules here if you are having trouble remembering the Commutative (commute to and from work), Associative (who you hang out with), Distributive (deal the cards to "everyone"), Inverse and Identity Rules. Provided by by James Brennan at Boise State.
 
Additional Definitions, Persons, Terms, Formulas
These are additional definitions, persons, terms, and formulas that were covered in Chapter 1 and are not in the list of terms at the end of the Chapter. The biographical links are to the web site of Trinity College at Dublin, Ireland.
  • Hero's Theorem (area of triangle given 3 sides)
  • Sieve of Eratosthenes (method of finding a list of primes)
  • Eratosthenes
  • Euclid
  • Descartes
  • Diophantus
  • Al - Khwarizmi
  • Hero (Heron)
  • "Hisab al-jabr w"almugabalah" (science of reunion & reduction)
  • Closure Property
  • Golden Rule of Equations
  • Golden Rule of Inequalities
  • Please Excuse (My Dear) (Aunt Sally)(left to right)
 

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