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

### 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

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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 Definitions:   6. number     7. constant     1 2 3 4 5

 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: Who Has - Like Terms - Algebra I Evaluate an expression w/calculator Graph an expression zoom in/out on graph Store A Constant, Evaluate An Expression Solve an equation Code, Semi-equations/semi-expressions -- Using Code to Write Expressions & Equations

## 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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