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Topic: [math-learn] Transforming formulas
Replies: 55   Last Post: Feb 19, 2007 11:48 PM

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Moti

Posts: 63
Registered: 11/7/06
[math-learn] Re: Transforming formulas
Posted: Feb 1, 2007 5:35 AM
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Antonija,

If I examine what you said they do understand [transforming a=bc] and
don't understand [transforming a=b/c] I suspect they don't have a good
understanding and skills of fractions. Transforming the first doesn't
require understanding of fractions and operations with fractions,
while transforming the second type does.

So start with a good review of fractions.

Here's a concise explanation of the FOIL method
http://www.lessonplanspage.com/MathMultiplyingBinomialsWithFOIL812.htm

Basically it's just a mnemonic to remember how to multiply binomials
in a bit different order that one would usually do.

I think there's no need to teach FOIL. If they know the distributive
property, they can learn multiplication of polynomials easily. Then
they have to gather similar terms, but that's simple as well. It's
basically just accounting. The FOIL method though, is not scalable to
more than binomials and thus not a good way to teach multiplication of
polynomials.

Moti
http://www.LearningByYourself.com

> For example, if we have (simple) formula
> a = b/c
> and if we want to find formula for "c"
> then
> I would (in my mind) move "c" from denominator (from the right side)
> into multiplication with "a" (onto left side) AND
> I would move "a" from multiplication (from the left side) into
> denominator (onto right side).
> So, I get c = b/a .
> Actually, "c" and "a" changed their positions.
>
> When I try to explain it to my kids, they become confused complitely
> (7th grade)!!
> Some of you said that your kids can accept it. How old are they?
>
> In the other hand,
> if we want to find formula for "b" (in upper example a=b/c),
> we should just to move "c" (as I described before)
> and then to change both sides of formula,
> so we get
> b = ac .
>
> These two methods haven't got equivalent steps, and it confuses kids
> as well.
>
> But, transforming formulas like a=bc is easy for them - they know
> to move "b" and "c" correctly, that is they remember to put them into
> denominator.





Date Subject Author
1/28/07
Read [math-learn] Transforming formulas
Antonija Horvatek
1/28/07
Read Re: [math-learn] 'Simplifying', e.g.,
a 4th root destroys information (?!)
John Morse
1/28/07
Read Re: [math-learn] 'Simplifying', e.g., a 4th root destroys information (?!)
Zeev Wurman
1/28/07
Read Re: [math-learn] 'Simplifying', e.g., a 4th root destroys
information (?!)
Ed Wall
1/28/07
Read Re: [math-learn] 'Simplifying', e.g.,
a 4th root destroys information (?!)
Richard Sisley
1/29/07
Read Re: [math-learn] 'Simplifying', e.g., a 4th root destroysinformation (?!)
Rex Boggs
1/29/07
Read Re: [math-learn] Transforming formulas
Rex Boggs
1/29/07
Read Re: [math-learn] Transforming formulas
John Morse
1/29/07
Read Re: [math-learn] Transforming formulas
Chris
1/29/07
Read Re: [math-learn] 12+0, 11+1, 10+2 all lead to ... graph of a parabola
John Morse
1/29/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
1/29/07
Read RE: [math-learn] Transforming formulas
John Clement
1/30/07
Read RE: [math-learn] Transforming formulas
Paul A. Tanner III
1/30/07
Read Re: [math-learn] Transforming formulas
Joshua Zucker
1/31/07
Read Re: [math-learn] Transforming formulas
Paul A. Tanner III
1/31/07
Read [math-learn] Re: Transforming formulas
Moti
1/31/07
Read Re: [math-learn] Re: Transforming formulas
Paul A. Tanner III
1/31/07
Read Re: [math-learn] Re: Transforming formulas
timotha@comcast.net
2/1/07
Read [math-learn] Re: Transforming formulas
Moti
2/1/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
2/1/07
Read Re: [math-learn] Re: Transforming formulas
John Clement
2/2/07
Read Re: [math-learn] Re: Transforming formulas
timotha@comcast.net
2/2/07
Read RE: [math-learn] Re: Transforming formulas
John Clement
2/2/07
Read Re: [math-learn] Re: Transforming formulas
timotha@comcast.net
2/2/07
Read [math-learn] Re: Transforming formulas
Moti
2/2/07
Read Re: [math-learn] Re: Transforming formulas
Paul A. Tanner III
2/3/07
Read [math-learn] Re: Transforming formulas
Moti
2/3/07
Read [math-learn] Thinking logially [was: Transforming formulas]
John Clement
2/5/07
Read [math-learn] Re: Thinking logially [was: Transforming formulas]
Moti
2/5/07
Read [math-learn] Re: Thinking logially [was: Transforming formulas]
Ed Wall
2/8/07
Read Re: [math-learn] "22 Game": pick 3-digit #,
add up 6 permutations of 2 digits. divide by sum of digits of 3-digit #, = 22
John Morse
2/4/07
Read Re: [math-learn] Re: Transforming formulas
Paul A. Tanner III
2/5/07
Read [math-learn] Re: Transforming formulas
Moti Levi
2/4/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
2/2/07
Read Re: [math-learn] Re: Transforming formulas
Ralph A. Raimi
2/3/07
Read [math-learn] Re: Transforming formulas
Moti
2/3/07
Read Re: [math-learn] Re: Transforming formulas
Ralph A. Raimi
2/4/07
Read [math-learn] Re: Transforming formulas
Moti
2/4/07
Read Re: [math-learn] Re: Transforming formulas
Ralph A. Raimi
2/5/07
Read [math-learn] Terminology (was Transforming formulas)
Alva
2/5/07
Read [math-learn] Re: Terminology (was Transforming formulas)
Moti Levi
2/5/07
Read RE: [math-learn] Re: Transforming formulas
John Clement
2/5/07
Read RE: [math-learn] Re: Transforming formulas
Ed Wall
2/5/07
Read RE: [math-learn] Re: Transforming formulas
John Clement
2/5/07
Read RE: [math-learn] Re: Transforming formulas
Ed Wall
2/5/07
Read [math-learn] Re: Transforming formulas
Moti
1/30/07
Read RE: [math-learn] Transforming formulas
John Clement
1/31/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
1/31/07
Read Re: [math-learn] Re: Transforming formulas
Paul A. Tanner III
2/1/07
Read [math-learn] Re: Transforming formulas
Moti
2/1/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
2/1/07
Read [math-learn] Re: Transforming formulas
Antonija Horvatek
1/29/07
Read Re: [math-learn] Transforming formulas
Paul A. Tanner III
1/30/07
Read Re: [math-learn] Transforming formulas
Jerome Epstein
2/19/07
Read [math-learn] Re: Transforming formulas
Jon Wilson
1/30/07
Read RE: [math-learn] Transforming formulas
Jerome Epstein

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