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Topic: Sixth grade math
Replies: 115   Last Post: Feb 15, 2010 5:36 AM

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Jack Markan

Posts: 6,964
Registered: 2/26/05
Re: Sixth grade math
Posted: Jan 28, 2010 2:27 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jan 25, 7:52 pm, eratosthenes <rehamkcir...@gmail.com> wrote:

> She asked me if I could give her a way to explain what a mathematical
> function is to a sixth grader other than the standard explanation
> about it being a machine that you put one number into and receive
> another out of.


Of course, I prefer the standard set theoretical definition, but that
requires first defininig 'relation'.

So, how about this:

Suppose we have a set X. We say "F is a function with domain X" if for
each object in X, we have F pairing it with exactly one object. In
other words, if p is an object in X then F picks out some object (that
we call 'F(p)') and pairs p to that object picked out. That is, for
each object p in X there is exactly one object that F pairs p to. Note
that if p and q are different from each other but both members of X,
then a function might or might not pair p and q to the same object,
but the important point is that each member of X is paired to at least
one object but not to more than one object. Also point out that F
might pair certain objects to themselves.

Then give an example by listing objects in some set X and drawing
lines from each member of X to its value under the function. Explain
that F itself is the pairing of the objects. Then give some example
from everyday life that shows that each object is paired to exactly
one object; show examples where an object is paired to itself; show an
exmaple where different objects are paired with the same object. Show
an example where no two different objects happen to pair to the same
object.

Or give the examples before the abstract explanation, then, to
reinforce, go back to the examples after having given the abstract
explanation.

MoeBlee


Date Subject Author
1/25/10
Read Sixth grade math
rehamkcirtap@gmail.com
1/25/10
Read Re: Sixth grade math
amzoti
1/25/10
Read Re: Sixth grade math
Andrew Usher
1/25/10
Read Re: Sixth grade math
amzoti
1/25/10
Read Re: Sixth grade math
Robert H. Lewis
1/25/10
Read Re: Sixth grade math
rehamkcirtap@gmail.com
1/25/10
Read Re: Sixth grade math
rehamkcirtap@gmail.com
1/26/10
Read Re: Sixth grade math
Virgil
1/26/10
Read Re: Sixth grade math
Porky Pig Jr
1/26/10
Read Re: Sixth grade math
Bill Dubuque
1/26/10
Read Re: Sixth grade math
Dave L. Renfro
1/26/10
Read Re: Sixth grade math
Robert Israel
1/26/10
Read Re: Sixth grade math
Porky Pig Jr
1/26/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
1/27/10
Read Re: Sixth grade math
Andrew Usher
1/27/10
Read Re: Sixth grade math
Andrew Usher
1/28/10
Read Re: Sixth grade math
Frederick Williams
1/27/10
Read Re: Sixth grade math
achille
1/27/10
Read Re: Sixth grade math
hdbanannah
1/27/10
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rehamkcirtap@gmail.com
1/28/10
Read Re: Sixth grade math
T.H. Ray
1/28/10
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umumenu@gmail.com
1/28/10
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ostap_bender_1900@hotmail.com
1/28/10
Read Re: Sixth grade math
Frederick Williams
1/28/10
Read Re: Sixth grade math
Bill Dubuque
1/31/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
1/31/10
Read Re: Sixth grade math
Bill Dubuque
2/1/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/1/10
Read Re: Sixth grade math
T.H. Ray
2/1/10
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ostap_bender_1900@hotmail.com
2/1/10
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T.H. Ray
2/2/10
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ostap_bender_1900@hotmail.com
2/2/10
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T.H. Ray
2/2/10
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ostap_bender_1900@hotmail.com
2/3/10
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T.H. Ray
2/4/10
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ostap_bender_1900@hotmail.com
2/5/10
Read Re: Sixth grade math
T.H. Ray
2/6/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/6/10
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Frederick Williams
2/6/10
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2/10/10
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2/12/10
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2/13/10
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victor_meldrew_666@yahoo.co.uk
2/6/10
Read Re: Sixth grade math
Marshall
2/3/10
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Jack Markan
2/4/10
Read Re: Sixth grade math
T.H. Ray
2/4/10
Read Re: Sixth grade math
rehamkcirtap@gmail.com
2/5/10
Read Re: Sixth grade math
T.H. Ray
2/5/10
Read Re: Sixth grade math
Jack Markan
2/5/10
Read Re: Sixth grade math
T.H. Ray
2/5/10
Read Re: Sixth grade math
Jack Markan
2/5/10
Read Re: Sixth grade math
T.H. Ray
2/6/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/6/10
Read Re: Sixth grade math
T.H. Ray
2/6/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/7/10
Read Re: Sixth grade math
T.H. Ray
2/8/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/8/10
Read Re: Sixth grade math
T.H. Ray
2/10/10
Read Re: Sixth grade math
Michael Stemper
2/10/10
Read Re: Sixth grade math
T.H. Ray
2/10/10
Read Re: Sixth grade math
victor_meldrew_666@yahoo.co.uk
2/10/10
Read Re: Sixth grade math
T.H. Ray
2/10/10
Read Re: Sixth grade math
T.H. Ray
2/11/10
Read Re: Sixth grade math
victor_meldrew_666@yahoo.co.uk
2/11/10
Read Re: Sixth grade math
T.H. Ray
2/8/10
Read Re: Sixth grade math
Marshall
2/8/10
Read Re: Sixth grade math
T.H. Ray
2/8/10
Read Re: Sixth grade math
Marshall
2/9/10
Read Re: Sixth grade math
T.H. Ray
2/8/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/9/10
Read Re: Sixth grade math
T.H. Ray
2/9/10
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ostap_bender_1900@hotmail.com
2/8/10
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ostap_bender_1900@hotmail.com
2/9/10
Read Re: Sixth grade math
T.H. Ray
2/9/10
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ostap_bender_1900@hotmail.com
2/10/10
Read Re: Sixth grade math
T.H. Ray
2/10/10
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ostap_bender_1900@hotmail.com
2/11/10
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T.H. Ray
2/11/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/12/10
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T.H. Ray
2/12/10
Read Re: Sixth grade math
Brian Q. Hutchings
2/12/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/12/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/13/10
Read Re: Sixth grade math
victor_meldrew_666@yahoo.co.uk
2/14/10
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ostap_bender_1900@hotmail.com
2/15/10
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ostap_bender_1900@hotmail.com
2/12/10
Read Re: Sixth grade math
Brian Q. Hutchings
2/9/10
Read Re: Sixth grade math
Brian Q. Hutchings
2/9/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/10/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/10/10
Read Re: Sixth grade math
Brian Q. Hutchings
2/10/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
2/10/10
Read Re: Sixth grade math
ostap_bender_1900@hotmail.com
1/28/10
Read Re: Sixth grade math
Frederick Williams
1/28/10
Read Re: Sixth grade math
Jack Markan
1/28/10
Read Re: Sixth grade math
Dave L. Renfro
1/28/10
Read Re: Sixth grade math
Porky Pig Jr
1/28/10
Read Re: Sixth grade math
Jack Markan
1/29/10
Read Re: Sixth grade math
Michael Stemper
1/29/10
Read Re: Sixth grade math
Jack Markan
1/28/10
Read Re: Sixth grade math
Jack Markan

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