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3.  Determining Equivalence.notebook                             February 06, 2013




                                       Determining Equivalence




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3.  Determining Equivalence.notebook             February 06, 2013




                    Goal:
                   Determine if two or more
                   expressions are equivalent.




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3.  Determining Equivalence.notebook                                    February 06, 2013




                  Happy Wednesday!
                  Today's warm­up is Mental Math #1­5.
                 When you are finished, please take out your homework
                 and a red pen.
                  Solve each equation or inequality for the variable:
                  1) 2x + 2 > 4
                  2) 2(x + 2) ­ 3x > ­ 2
                  3) 5(x ­ 3) + 4 =
                  4) ­ 3(c+4) ­ 2 > 7
                  5) ­ 9 = 8 + [ 3 ­ (2x + 4)] ­ 6x


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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook                                  February 06, 2013



                        While I check in your work, please continue
                        working on the following ACE problems:
                         Page 15: 10­12
                         Page 16: 18­23, 25­32, 46­49


                        Label the paper you use with your name,
                        date, and "Classwork" and title it
                        "Equivalent Expressions". You may use the
                        same paper as yesterday.




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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook                               February 06, 2013




                                               s   1
                                               s   1
                                                   s       1
                                       1   s   1
                                                       s       1
                                       s       s


                                       1   s   1

                                                                                       7
3.  Determining Equivalence.notebook                                   February 06, 2013




                                                   s

                                                       s

                                                   s
                                       1   s   1
                                                               s
                                       s       s
                                                       1       1
                                       1   s   1           1       1

                                                                                           8
3.  Determining Equivalence.notebook                                     February 06, 2013




                                                       s        1        1
                                                   s            1        1

                                       1   s   1       s       1 1

                                                           s    1
                                       s       s                     1

                                       1   s   1

                                                                                             9
3.  Determining Equivalence.notebook                          February 06, 2013




                                                   s    1 1
                                                   s    1 1
                                       1   s   1    s
                                                   s
                                       s       s


                                       1   s   1

                                                                                  10
3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook                         February 06, 2013



                Key Question: Is plugging in one value to
                both expressions good enough to determine
                equivalency?
                 Let's try 2x + 1 and x + 2. Evaluate for x = 1.




                 Are the expressions equivalent?

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3.  Determining Equivalence.notebook                                February 06, 2013



                Key Question: Is plugging in one value to both
                expressions good enough to determine equivalency?

                Let's try 2x + 1 and x + 2 again. This time
                evaluate for x = 3.




                 Are the expressions equivalent?

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3.  Determining Equivalence.notebook                                                 February 06, 2013


                        Key Question: Is plugging in one value to both expressions
                        good enough to determine equivalency?

                         This time we'll use y = 4(x + 2) ­ 4 and
                         y = 4(x + 1). Evaluate for x = 1 and x = 2




                         Are the expressions equivalent?
                         Do you need at least two values to produce
                        the same answer to confirm that expressions
                        are equivalent?
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3.  Determining Equivalence.notebook                              February 06, 2013


                                       Why are two values for x
                  y = 4(x + 2) ­ 4
                                       good enough to determine
                                       equivalent expressions?




                   y = 4(x + 1)




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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook   February 06, 2013




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3.  Determining Equivalence.notebook                        February 06, 2013



                         Group Work: Problem 1.4 A­E
                         Write neatly and show your
                         work; this will be turned in for
                         credit.
                         No more than two people per
                         group.
                         Groups not working will be split
                         up and work alone.


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02.06.2013 lesson notes