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Topic: Simplifying Algebraic Expressions with Subtracted Expressions
Replies: 67   Last Post: Nov 25, 2013 12:57 PM

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Joe Niederberger

Posts: 3,300
Registered: 10/12/08
Re: Simplifying Algebraic Expressions with Subtracted Expressions
Posted: Nov 15, 2013 10:02 AM
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Pam says:
>Yes, 5th grade, and not particularly hard through the use of the bar diagrams that students studying from the Singapore textbooks are practiced with. They would draw a horizontal rectangular bar, divide it into 5 equal parts, lightly shade 3, divide each of the remaining 2 parts in half (as well as the original 3 so as to continue to have equal portions). By shading 1/4 of the "afternoon tarts" (1/10 of the whole bar), and shading an equal portion of the "morning tarts", what is left of the morning tarts is equal to 200. Since there are 5 parts, each part is equal to 40.

Nice description. I would say that certainly qualifies as "formal manipulation" as in Lou's definition of algebra:

"it's the conscious formal, symbolic representation of an unknown, together with its subsequent manipulation, that turns the solution into an algebraic one."
(-- Lou Talman)

Cheers,
Joe N


Date Subject Author
11/11/13
Read Simplifying Algebraic Expressions with Subtracted Expressions
MVTutor
11/11/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/12/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/12/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
MVTutor
11/13/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Jonathan Crabtree
11/13/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/14/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/15/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/21/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/21/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Louis Talman
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/16/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/17/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Pam
11/18/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/22/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Joe Niederberger
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne
11/23/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
GS Chandy
11/24/13
Read Re: Simplifying Algebraic Expressions with Subtracted Expressions
Robert Hansen
11/25/13
Read Re: Simplifying Algebraic Expressions with Subtracted
Expressions
Bishop, Wayne

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