Friday, September 16, 2011

A Math Discussion...

Today in math, a great math conversation was in the making as Mr. Archbold broke down the Real Number categories into easier to understand segments.

Mr. Archbold gave several references of the Real Number System in "un-mathy" examples.  Ask your student how the following items are related to the Real Number System.



Today the floor diagram looked like this.


Yesterday, it looked a little different.
The diagram was a little simpler.
Students moved through the diagram categorizing various numbers of the  Real Number System.




(Sorry for the blurry pictures!  Will have to check my camera!)

Sorting numbers into the correct categories can be tricky.
There are new vocabulary words to learn.
Plus, the categories overlap, so the sorting becomes even more tricky!

Some good questions to ask your student...

1)  What is an integer? (ans. Any positive or negative number)
2)  What is the most specific category for 2/3? (ans. Rational Numbers)
3)  How are natural and whole numbers the same? (ans. They both contain the numbers 1, 2, 3, 4, and so forth)
4)  How are irrational numbers different than rational numbers? (ans. Irrational numbers cannot be made into a fraction.  Irrational numbers are decimals that go on FOREVER and NEVER REPEAT any of the digits...there is no pattern.)

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