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Friday, February 13, 2015

February 13: Power of a Power

Today we learned how to simplify terms with exponents to a power (Power of a Power).  In this case, the rule we determined is shown below:



We then took a quiz on Exponent rules we've been working on this week.  If you were absent today, make sure to study over the weekend, and be ready to take this in class on Tuesday!

Remember, no school on Monday, February 16!  Happy President's Day!

Thursday, February 12, 2015

February 12: Quotient of Exponents

Today we learned how to divide terms with exponents.

Quotient of Powers Rule:    

SUBTRACT the exponents and the base stays the same

 

ex: x m ÷ x n x mn





We took notes in class and practiced dividing numbers and variables with different exponents. 



Wednesday, February 11, 2015

February 11: Product of Powers


Product of Powers, or multiplying terms with exponents, was the focus for today.  The best strategy for this new concept is to start by writing each term out in expanded form. Then determine the number of factors and simplify!  Sounds easy, right?  Wait... it gets even easier!

Once we did a few examples together, many of us noticed a pattern- all we have to do is add the exponents!  See?  Told you it was even easier!

Product of Powers Rule:    

Add the exponents and the base stays the same


ex: x m . x n x m+n





Click here for today's homework.

Tuesday, February 10, 2015

February 10: Properties of Exponents

Today we had a guest teacher, so we reviewed what we covered yesterday: going from expanded notation to exponent notation and the converse.  There were no new notes.



Click here for today's homework.

Monday, February 9, 2015

February 9: Exponents

Today we begin our Unit 6: Exponents and Scientific Notation.  This is a 3 week long unit: the first 2 weeks will be devoted to learning the laws and properties of exponents, and the last week will be scientific notation followed by the Unit test on Friday, February 27.

Today's notes were an introduction to what exponents are, and we learned a few new terms: Exponent, Base, and Expanded Form.

The exponent of a number says how many times to use that number in a multiplication.

It is written as a small number to the right and above the base number.



We also did an in class activity that is attached to the homework (first 2 pages) instead of taking a lot of notes.  Everyone found it much easier to work examples together rather than take traditional notes. 


Click here for today's homework and in class activity.