Basic Algebra from An Advanced Standpoint,
Irvington In-Service, May 1, 2007



BASIC because it's the math you had in middle and high school.

ADVANCED because now you have the experience to judge how & what
should be presented.



Outline:
    1:30 - 3:45 PM - Content
    3:45 - 4:00 PM - Debrief & Evaluation
    Use rest rooms as you wish. Have candy / fruit as you wish.
     
Goals:
  • Speak as Many Languages as Possible  
    concretely: w/integer board & w/term tiles
    abstractly: w/pencil & paper
    technologically: w/graphing calculator:
            simplify, store, evaluate, graph, solve w/solver, w/graph
  • Repress as little as possible, Represent, Operate, Create, Interpret
  • Play & Learn



      Permission is hereby granted to reprint & use this page and linked pages for use in creating note sheets, tests, and worksheets for not-for-profit purposes.
      Permission IS NOT GRANTED WITHOUT REQUEST for use in staff-development, web-use, or items created for sale.


Content

  • Please begin the sheet.

    Use order of operations to complete the problems.
      • THE ORDER OF OPERATIONS (Topmost First)
    • Functions
    • Parentheses or other Marks of Inclusion (Innermost First) -- They are: /, ( ), [ ], { }.
    • Roots or Exponents
    • Multiplication or Division (Leftmost First)
    • Addition or Subtraction (Leftmost First)

      •     Restated it's: Functions, Parentheses first, next Roots or Exponents, then Multiply or Divide (left to righ) then Add or Subtract (left to right): Finally Please, Readily Excuse, My Dear Aunt Sally.



Constant Numbers


Signed numbers resources:
  • Signed Numbers on the Integers Board
  • The Integer Board
  • Worksheet #24
  • Other: ctd wh


Term Tile Masters:
  • Term Tiles Masters -
    x2, x, 1: front (required)
    -x2, -x, -1: back (optional)


Variable Numbers & Expressions
Definitions:
8. variable
    "A Number" Doesn't Mean "Any Old Number."
    Invisible Ones
9. expression    
10. like terms    
11. equation
12. Equation vs. Expressionevaluate
13. solve    
14. opposite    
15. inverse    
Resources:


3:45 - 4:00 PM - Evaluation





The Mother Tongue, Other Tongue(s)
 
VERBAL
formal spoken mathematics
informal spoken math
spoken symbol
symbol speak
calculatoreze/computereze
web speak
WRITTEN
written word
written symbol
semisymbolic
calculator symbol
PICTORIAL
picture
numeral
graph
nonverbal body language
CONCRETE
object
model
manipulative/token


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www.mathnstuff.com/papers/may0107.htm
© 2007, A. Azzolino