Algebra Notes   © 2005, 2008, 2010 A2


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The Visual / Auditory / Symbolic / Kinesthetic Approach to Algebra

This Stuff Looks Like:       Topics:
Simplify:
      -6 [ -3 - 2(5 - 3)]

Simplify:
      3 + 3 · (5 - 7)2
Mostly Arithmetic Expressions
Order of Operations is the Grammar of Mathematics.
Operations Tutorial! & Word List
"Real World" Signed Numbers Representation & Computation
Signed Numbers & Computation Word List
Fake Quiz & Examples
Simplify or Evaluate an Expression on A Graphing Calculator
  
Simplify:
      3(12 - x)  + 4  

Simplify:
      5x - 3x + 3y  

Evaluate when x = 2, y = -1:
      5x - 2y2  
"A Number" Doesn't Mean "Any Old Number."
Know The Invisible (Understood) Ones.
WHAT DO YOU CALL A HUNGRY PARROT? vocabulary
Most Operations Are Not Distributive
Notes on the Distributive Property
Combine Like Terms
Evaluating Expressions
Organizing Evaluated Expressions As An Intro to Graphing
  
Write:
      3(12 - x)  + 4  

Write in symbols:
      5 more than a number  

Solve:
      The product of a number and 3
is one less than the number.
Find the number.

Solve:
      Tom can paint a room in 2 hours.
Dick takes 4 hours to paint the
same room. If they work together,
how long will it take to paint the room?
I: Intro in Math & English, One-Operation Expressions
II: More than One-Operation Expressions
      Equation vs. Expression
      The other number when the sum of two numbers is ...
      "A Number" Doesn't Mean "Any Old Number."
      Know The Invisible (Understood) Ones.
III: Using Code to Write Expressions & Equations
IV: Mixture, Money, Coffee Beans, Candy, & Solutions
V: Writing About Consecutive Integers
VI: Work Problems

Write" #20 , #21 , #22 , #23 , #24
  
Solve:
      x - 6 = -12

Solve:
      3 + 2x= 4x - 1

Solve:
      3x + 4(x -1) = 2
SOLUTIONS ARE NOT ALWAYS WET Word List
consecutive integer expressions, equations
Linear Equation Solver
Solve Linear Equations w/Undoing 1 Operation,
Solve Linear Equations w/Undoing 2 Operations,
Solve Linear Equations w/Undoing Many Operations,
Solve Linear Equations Graphically
Solutions to a Linear Equation
Solving Equation on Graphing Calculators
  
Solve:
      x - 6 > -12

Graph:
      x > -6

Algebraic inequalities & graphing on a number line
Graph paper
  
Solve:
      x + 2y = 6
     4x - 2y = 12
Point-Plotting Intro
Mentally &/or Graphically w/Appropriate Vocabulary & Possible Solutions
Solve Graphically w/Planes &Pencil (Includes Answers)
Solver (Using Web Page)
Solve Linear Systems Using Determinants and Cramer's Rule SPREADSHEET
By Linear Combination (Adding Lines)
By Substitution (Expression Swapping)
With Calculator (TI83 Using System)
SIMULTANEOUSLY? --additional vocabulary
Graph paper
  
Graph:
      y = 3x + 4
A Graph Is A Portrait   graph papers
GRAPHITI Word List -- intro to coordinate geometry, point generation, functions
THAT'S MY LINE Word List
Point-Plot A Graph [Animation]
Slope in Sound & Pictures
WHAT'S A FUNCTION Word List - ordered pairs, relations, functions
Notes1
  
EXPONENTS ARE NOT ON THE LEVEL
Word List
Computation Rules/Laws
Know The Invisible (Understood) Ones. Essay
  
Multiply:
      (x +2)(x - 6)
SPECIAL PRODUCTS Word List -- multiplication and factoring
The Man With The Big Nose --
the layout for the four multiplications required in multiplying 2 binomials
Multiplying 2 Binomials -- "FOIL" (animation)
  
Factor:
      x2 + 6x + 5
SPECIAL PRODUCTS Word List -- multiplication and factoring
Written Notes on Factoring
Factoring Trinomials (animation)
Factoring Trinomials with A Leading Coefficient that Is Not One (animation)
notes1
  
Simplify:
     
Fraction techniques
Create Equivalent Fractions
Reducing Fractions
Placement of the Negative Sign in A Fraction
Computational Tricks
Use Parenthises To Simiplify The Expression
Add or Subtract Fractions
Divide Fractions
Some Problems and Answers
  
Simplify:
      x + 2 x
RADICAL IDEAS Word List:
Essay: Celebrity Numbers
Essay: Imaginary Numbers Are Not Imaginary.
  
Solve:
      x2+4x+4=0
Graph:
      x2+4x+4=0
Use:
      s(t) = (a/2)t2 + v0t + s0

EVERYTHING ... ABOUT A QUADRATICs

Word List
Quadratic Equation & Equation Solver
Notes1
Essay: Celebrity Numbers
  
Simplify:
      log4(4) - log4( 4)
HOW TO APPRECIATE LOGS WITHOUT FEELING OUT ON A LIMB Word List
Essay: Celebrity Numbers
Log Rules/Laws
  
Off Site Practice: www.webmath.com     www.algebrahelp.com     www.math.com
  
Calculator Use
Calculator Word List
Calculator Lesson Pages
Spread Sheet

Mostly Algebra RESOURCES

Mostly Algebra VOCABULARY

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