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exponents

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exponents Powered By Docstoc
					Jessica D’Agostino
Lesson plan          Grades 8 - 9
Table of Contents
 1. What is an exponent?

 2. How do we write them?

 3. Writing Practice!

 4. Addition of Exponents

 5. Subtraction of Exponents

 6. Multiplication of Exponents

 7. More Practice, Worksheet, Games!
What are exponents?

expression that indicates the number of
times the number or expression is to be
multiplied by itself
                                          EXPONENT




               VARIABLE                              Table of
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Back to the basics…

  3 * 3 * 3 = 27

  2*2= 4

  9 * 9 = 81


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  How else can we write this?

  3 * 3 * 3 = 27 = 3³

  2 * 2 = 4 = 2²

  9 * 9 = 81 = 9²



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Now it’s your turn!
How can we write 5 * 5 ?

  a. 5

  b. 5²

  c. 5⁴




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How can we write 4³ ?
 a. 4

 b. 4 * 4

 c. 4 * 4 * 4
                                                     Table of
ADDITION!                                            Contents




 Same Base!
         you have to have the same base to add
         exponents!

 Same Exponent!
         you have to have the same exponent!



          X²                 X²                2X²
Examples!

a. 6² + 6² = 6*6 + 6*6 = 36 + 36 = 72 =
2(6²)

b. 7³ + 5² = 7*7*7 + 5*5 = 343 + 25 = 368

c. X² + X³ = X³ + X²

d. X³ + 3X³ = 4X³



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SUBTRACTION!

 The same rules apply as addition!




           5x²           3x²         2x²



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  What is 5X³ + 3X⁴ + 2X⁴?

a.10X ¹¹

b.5X³ + 5X⁸

c. 5X³ + 5X⁴



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MULTIPLICATION!

        (x 3)(x4)        = (xxx)(xxxx)
                         = xxxxxxx
                         = x7
 Same Base!
          you have to have the same base in order to combine
 the exponents.

 Multiplication is keeping the base and adding the exponents!


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What is (x⁴)(x⁵)?

a.X²⁰

b.X⁷

c.X⁹
Good Job!

 Now it is time to practice on your own..



 Please print this worksheet, finish it, and
 bring it in to class next time!

 Review Game!

 Additional Help!




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