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Module 2 Unit 2 Notes

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									                                           November 30, 2012




      Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

We will get a seating chart tomorrow!

PROBLEM OF THE WEEK!
                                                                                                              November 30, 2012


   Notes Module 2 Unit 2 Day 1-G: Expressions with Exponents
   Exponent- the number of times a factor is multiplied.
        (the little number)

   Base- the factor
        (the big number)

   Power- the number being expressed by the exponent
        (the whole thing-base and exponent)



       Exponential
                                          Read                            Multiply         Value
         Form

           101                    "10 to the 1st power"                      10              10

           102                    "10 to the 2nd power"                    10 x 10

           103

           104



   Example 1:
       Write each expression in exponential form.

      a)    4x4x4                                         b)    9x9x9x9x9




   Example 2:
       Find the value of each.

                                          b)     64                         c)    30
      a)    27




Example 3:
      If Dana’s school closes, a phone tree is used to contact each student’s family. The secretary calls 3
families. Then each family calls 3 other families, and so on. How many families will be notified during the
6th round of calls?




   Example 4:
       Simplify the expression.

                 (23 . 6) - 32
                                                        November 30, 2012




            Welcome to Class!

Write the assignment in your agenda

Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!
                                                                                     November 30, 2012




Notes Module 2 Unit 2 Day 2-G, S: Square Roots
Inverse- opposite operation (undo)

Square root- the inverse of squaring a number

Radical sign- the symbol for square root (√ )



Example 1:       Simplify

      a)     72                                    b)    √49



             2

      c)     √64                                   d)    √81




      e)     √225            HINT: On big numbers, you can use prime factorization!




Example 3: Evaluate the expression when z = 7.

                  √29 + z




 Example 4:
      The area of a square cover for a whirlpool bath is 144 ft2. What is the length of each side of
 the cover?
                                                    November 30, 2012




         Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Come see me to pass back papers

Get a blue math book

PROBLEM OF THE WEEK!
                                                                                                 November 30, 2012

Notes Module 2 Unit 2 Day 3-G: Expressions and Variables

 Numerical Expression- mathematical phrase that consists of only numbers and
     operation symbols
                Ex: 2 + 4               6÷2-3+12
 Variable- symbol that represents a number
                 Ex:   x=3
 Constant- value that does not change

 Algebraic Expression- expression with one or more variables
                Ex:    n+2        5d           7b - 2     12x÷3

Example 1: Evaluate the expression when a = 3 and m = 9


           a)      7+m                                   b) 10 - a




 Example 2: Evaluate the expression when s = 5 and t = 10


          a)     9s                                     b) 100
                                                            t




Example 3: Evaluate the expression when x = 7


       a)       3x2 + 15                                b) 5x ÷ 7




Example 4: Evaluate n ÷ 2+n for n = 4




Example 5:
      A dog walker charges $10 to walk a large dog and $6 to walk a small dog. She uses
10d + 6s to calculate her earnings, where d is the number of large dogs and s is the number of
small dogs. How much does she earn for walking each group?
     a)        4 large dogs and 2 small dogs              b)   6 small dogs
                                                    November 30, 2012




          Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!
                                                                                               November 30, 2012

Notes Module 2 Unit 2 Day 4: Mathematical Terminology
                                         ~MATH KEYWORDS~


           Addition            Subtraction        Multiplication                Division
                                  Minus
              Plus
                             The difference of            Times
           The sum of                                                         Divided by
                              Decreased by            The product of
          Increased by                                                       The quotient of
                               Fewer than             Multiplied by
              Total                                                           Divided into
                                Less than                   Of
           More than
                             Subtracted from           Groups of
           Added to
                               Take away


   ~TRICKY KEYWORDS~
   -   More than/less than
   -   Take away
   -   Subtracted from/added to
   -   Divided into


Example 1: Write each phrase as an algebraic expression.

     a)   A number increased by 5                     b)    7 less than a number




     c)   2 more than k                          d)        4 plus k




     e)   7 multiplied by 34                     f)        b divided by 14




     g)   7 decreased by b                       h)        n less than 19




           1
     i)     of a number                          j)        twice the number
           3



     k)   8 minus t




 Example 2: Write a word phrase for each expression.
     a)    s + 4                              b)   4s




Example 3:
     Three brothers earn money by doing yard work. The brothers split the money equally.
Write an expression that describes how much money each brother earns.
                                                    November 30, 2012




            Welcome to Class!

Write the assignment in the agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!
                                                                                      November 30, 2012




Notes Module 2 Unit 2 Day 5-G, S: Equivalent Expressions
Distributive Property- multiply outside number to everything inside the parentheses


     Ex:        3(5 + 7) = 3 x 5 + 3 x 7 =


 Commutative Property- you can add or multiply in any order
      Ex:   2 + 4 = 4 +2            3x = x   .
                                                 3




Example 1: Use the distributive property to solve this expression.

       9(4 + 5)                                       (8.1 - 2.4)5




       (x + 3)4                                         7(8 - t)




Example 2:
      A summer job as an assistant camp counselor pays $6.50 per hour. How much does the counselor
earn for 8 hours? Use the distributive property to break down the decimal so it is easy to calculate
mentally.
                                                   November 30, 2012




          Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

PROBLEM OF THE WEEK!
                                                                                            November 30, 2012


Notes Module 2 Unit 2 Day 6: Combining Like Terms

 Term- a number, a variable, or a product of numbers and variables
       Ex:   10    x     10x   4xy

 Like terms- terms that have identical variables

 Coefficient- the number that is being multiplied by a variable

       Ex:   10x   coefficient = 10         5t        coefficient = 5

  Constant term- term with NO variable

       Ex:   8     24



         Like Terms            3x and 2x              w and    w
                                                               7            5 and 1.8

         Unlike Terms          5x2 and 2x             6a and 6b             3.2 and n

 Identify which terms are like terms.

                                                                                        2    t
 5a          3y2         7t           x2         4z           k     4.5y2         a
                                                                                        3    2




 To combine like terms          ADD the coefficients of all like terms



Example 1:
    Simplify 4x + 5x                                          7y + 2y




      4a + 3b +2a                                            6a2 -a2 + 16
                                                        November 30, 2012




             Welcome to Class!
Write down the assignment in your agenda

Come see me to pass back papers

Put your homework on the top left corner of your desk

Get a blue math book

PROBLEM OF THE WEEK!
                                                                                      November 30, 2012


Notes Module 2 Unit 2 Day 7-G, A: Combining Like Terms

Identify which terms are like terms.

            2b            b6        b            x4      3b6       2x2



Examples: Simplify


    45x - 37y + 87                                      5x3 + 3y + 7x3 - 2y - 4x2




    2(a + 2a2) + 2b                     HINT: Use the DISTRIBUTIVE PROPERTY first!




  Example 4: Write an expression for the perimeter of the rectangle. Then simplify the expression.

       **Remember perimeter is the distance AROUND an object**


                               5n

       6b                                        6b


                               5n




 Example 5:
     Write an expression for the perimeter of the triangle. Then simplify the expression.


                 2x + 3                 3x + 2


                               x
                                                        November 30, 2012




                   Welcome to Class!
Write down the assignment in your agenda

Put your homework on the top left corner of your desk

Come see me to pass back papers

PROBLEM OF THE WEEK!
                                                November 30, 2012




             Welcome to Class!
Turn in any missing assignments

Write down the assignment in your agenda

Ask any last minute questions before the test

GOOD LUCK!!
November 30, 2012

								
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