R2 Purpose of Algebra, Truths, Properties of Ops, Tasks (1.1 - 1.3)new - Purpose of Algebra Truths Properties of Operations the Four Tasks(Algebra 1

# R2 Purpose of Algebra, Truths, Properties of Ops, Tasks (1.1 - 1.3)new

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Purpose of Algebra, Truths, Properties of Operations, the Four Tasks (Algebra 1 Quick Review 1-1, 1-2, & 1-3) Part 2 Homework R2 Read the Sections Carefully Complete the Custom Problems on the Next Slide Complete Problems: Pg 7 12, 14, 16, 18, 20, 22, 24, 30, 32, 34 Pg 14 26, 28, 30, 32, 34, 36, 38, 40, 42, 44
Custom Problems 1. Name the Task that is suggested by each Math Statement below: A) B) C) D) E) F) x x y and x if z xy x x if y x y y x xy x + = - - = = - = - = + + - + - 11 2 3 2 3 , 6 5 3 4 4 , 6 7 2 2 3 7 7 5 ) 3 )( 2 ( 2
Learning Objectives Understand the “Truth” of each of the Three Math Statements Know and Understand the 10 Properties of Operations Understand the Four Tasks of Algebra Be able to perform the Three Elementary Tasks of Algebra Understand which of the Three Elementary Tasks apply to each of the Three Math Statements
Algebra: The Language of Continuous Truth-Telling Math is a Language for communicating just as English, Latin and German are languages Math should be the language of choice when the communication is about “Amount” and the way to achieve that “Amount” The language consists of just the Three Statements presented earlier ( You can choose to think of Terms as alphabets, Expressions as words, and Relationships as sentences ) But the language of Math has a unique feature in that you can only write “Truth” with Terms, Expressions, or Relationships and the Original Truth written must “NEVER” be modified to become different from the initial Truth that
Initial Truths of Terms, Expressions & Relationships The Initial Truth of a Term is its Numeric Amount and for as long as the Term is present it must be equal to this Initial Amount The Initial Truth of an Expression is also its Numeric Amount and for as long as the Expression is present it must be equal to this Initial Amount Lastly, the Initial Truth of a Relationship is the Stated Comparison of the Two Expressions and this initial comparison must “ALWAYS” be maintained ( If the Expressions on both sides of the Comparison Symbol are Equal then both sides must always be equal. Or if one side of the Comparison Symbol is Greater than another then one side must always be greater than another. )
Drills : Truths of Math Statements State the Initial Truth of each Math Statement below: 7 2 13 5 3 7 4 3 9 5 2 12 2 3 = - + - x p s b a xy x
The Purpose of Algebra and the Role of Properties The purpose of Algebra is to Manipulate an Initial Truth until