Basic Principles
   

   

 Math Help -> Basic Principles 

 

Contents of the "Basic Principles" section:

Word Problems and Basic Arithmetic
Simplifying
Linear Functions
Linear Programming
Lagrange Multipliers
Factorials, Consecutive Integer Products
Arithmetic Rules
Functions
Recurrence Relations
Sequences
Mental Math
Sets
Polynomial
Abstract Algebra

Here's what these sections are all about: 

bulletWord Problems, including percents, and the meaning of the words "of", "per", and "what".

Also: Substitution Method, Percents, Compound Interest, Scientific notation.

bulletProcedures -- Synthetic Division, How to find square roots using a method similar to long division, and more.
bulletLinear equation -- filling in the missing x and y values in a table
bulletArithmetic Rules -- basic principles, addition and multiplication, properties of real numbers -- a more rigorous look at the rules of arithmetic.  If you just want to do arithmetic, click here.
bulletEuler and Exponents -- Euler's formula, and xy
bulletFunctions -- composition of functions, identity, inverse, function as ordered pairs of elements
bulletNumber Theory -- Euclid, Prime numbers, GCD theorems
bulletMental Math and Estimating -- Tricks for doing problems in your head
bulletSets
bulletAbstract Algebra
bulletPhysics Units

Related Pages in this Website

Go back to Math Help Home

Procedures -- how to find square roots, do synthetic division, and even divide by 59 in a clever way

Arithmetic for sixth through ninth graders -- a less rigorous (that is, more practical) lesson on the rules of arithmetic.

Trigonometric Equivalences build on these basic math ideas

Hyperbolic Functions are related to exp(x) and Euler's formula in an interesting way.

Understanding Logarithms and Exponents

 

The webmaster and author of the Math Help site is Graeme McRae.
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