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Lesson 0­9 thru 0­12.notebook                                                    August 23, 2012


             Assignment:

             1­­>L0­9, pg. P30, #2 ­ 18 (evens)                    Due Monday!
                & L0­10, pg. P32, #2 ­ 18 (evens)

             2­­>L0­11, pg. P36, #2­20 (evens)                 Due Wednesday!
                & L0­12, pg. P39, #2­22 (evens)

             3­­>Chapter 0 Test (pt. 1) ­ Monday & (pt. 2) ­ Thursday


                                No Calculator     Yes Calculator




                                                                                                   1
Lesson 0­9 thru 0­12.notebook                                   August 23, 2012


            Lesson 0­9 thru 0­12 WarmUp:
            1) 49 is 200% of what number?

            2) A rectangular room is 12.5 feet wide and 
            14 feet long.  What is the perimeter of the room?

            3) What is the area of a circle with a diameter 
            of 25 feet?

            Simplify.  No calculator ­ show all work.
            4) ­1/5 ­3/10

            5) ­14.1(2.9)




                                                                                  2
Lessons 0­9 thru 0­10:
Lesson 0­9 thru 0­12.notebook                                       August 23, 2012

            L0­9 & L0­10        Remember...
            Volume...
              *Volume of a rectangular prism = l  x  w  x  h

                *Volume of a cylinder =      r h
                                             2




                *Surface Area = the sum of areas of all the faces

             **For a rectangular prism:2lw  +  2lh  +  2wh

             **For a cylinder: 2   rh  +  2    r
                                               2




                                                                                      3
Lesson 0­9 thru 0­12.notebook               August 23, 2012

            Examples:
            Find the volume.

            A)
                                   4 cm



                                2 cm
                         8 cm


                                    10 in
            B)

                                20 in




                                                              4
Lesson 0­9 thru 0­12.notebook               August 23, 2012


             Find the surface area.

             C)
                                    5 m


                                   3 m
                          10 m


             D)

                                     5 ft


                            6 ft




                                                              5
Lesson 0­9 thru 0­12.notebook                                                              August 23, 2012

            L0­11 & L0­12:
            Remember...
            *probability ­ favorable outcomes
                               total outcomes

            *sample space ­ a list of all the possible outcomes

            FYI...when the probability is 0 ­ the event is impossible to occur...
            when the probability is 1 ­ the event is certain to occur

            *complements ­ the events for and the events for NOT
            i.e. ­ P(rolling a 1) and P(not rolling a 1)

            FYI...the sum of the probabilities of any 2 complementary events is always 1




                                                                                                             6
Lesson 0­9 thru 0­12.notebook                                                                               August 23, 2012


              *tree diagram ­ one method used to list out all the possible outcomes of an event
             *Fundamental Counting Principle ­ the number of outcomes is related to the number of choices

             i.e. ­ if there are 4 possible sizes for fish tanks and 3 possible shapes, 
             then there are 4 x 3 or 12 possible fish tanks (outcomes)


             *odds ­  favorable outcomes
                           unfavorable outcomes




                                                                                                                              7
Lesson 0­9 thru 0­12.notebook                                                                                    August 23, 2012

             Examples (L0­11):
             A) Find the probability of rolling an even number (on one die).

                  P(even)  = 3/6 = 1/2

             B) Find the probability of rolling a number less than 5 (on one die).

                  P(number less than 5) = 4/6 = 2/3

             C) The spinner is spun and a die is tossed.  Use a tree diagram to find the sample space.  State 
             the number of outcomes. 



                            A        B


                           C        D




                                                                                                                                   8
Lesson 0­9 thru 0­12.notebook                                                  August 23, 2012



              D) Find the ODDS of rolling an even number (on one die).



              E) Find the ODDS of rolling a number less than 5 (on one die).




                                                                                                 9
Lesson 0­9 thru 0­12.notebook                                                     August 23, 2012


              MEASURES OF CENTRAL TENDENCY:

               *mean ­ average
               *median ­ middle (when put in order)
               *mode ­ most often

              MEASURES OF VARIATION:

               *range ­ highest minus lowest

              ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­

              *quartiles ­ separates the data into 4 equal subsets (Q1, Q2, Q3)
              *Q1 (lower quartile) ­ median of the lower half
              *Q2 ­ median
              *Q3 (upper quartile) ­ median of the upper half




                                                                                                    10
Lesson 0­9 thru 0­12.notebook                                                              August 23, 2012


             F) Find the mean, median, and mode for the data:

                      3, 11, 26, 4, 1

             mean ­ 
             median ­ 
             mode ­ 

             G) Find the range, median, lower quartile, and upper quartile for the data.

                      4, 7, 11, 19, 26, 26, 32

             range ­ 
             median ­ 
             lower quartile ­ 
             upper quartile ­ 




                                                                                                             11
Lesson 0­9 thru 0­12.notebook                                                                                   August 23, 2012


             H) On her first 5 Algebra tests, Julie received the following scores:  82, 96, 92, 83, and 91.  
             What must she earn on the sixth test to have an average (mean) of 90?




                                                                                                                                  12

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8th alg - L0-9 thru L0-12--aug23

  • 1. Lesson 0­9 thru 0­12.notebook August 23, 2012 Assignment: 1­­>L0­9, pg. P30, #2 ­ 18 (evens)  Due Monday! & L0­10, pg. P32, #2 ­ 18 (evens) 2­­>L0­11, pg. P36, #2­20 (evens)  Due Wednesday! & L0­12, pg. P39, #2­22 (evens) 3­­>Chapter 0 Test (pt. 1) ­ Monday & (pt. 2) ­ Thursday No Calculator Yes Calculator 1
  • 2. Lesson 0­9 thru 0­12.notebook August 23, 2012 Lesson 0­9 thru 0­12 WarmUp: 1) 49 is 200% of what number? 2) A rectangular room is 12.5 feet wide and  14 feet long.  What is the perimeter of the room? 3) What is the area of a circle with a diameter  of 25 feet? Simplify.  No calculator ­ show all work. 4) ­1/5 ­3/10 5) ­14.1(2.9) 2
  • 3. Lessons 0­9 thru 0­10: Lesson 0­9 thru 0­12.notebook August 23, 2012 L0­9 & L0­10 Remember... Volume... *Volume of a rectangular prism = l  x  w  x  h *Volume of a cylinder =      r h 2 *Surface Area = the sum of areas of all the faces **For a rectangular prism:2lw  +  2lh  +  2wh **For a cylinder: 2   rh  +  2    r 2 3
  • 4. Lesson 0­9 thru 0­12.notebook August 23, 2012 Examples: Find the volume. A) 4 cm 2 cm 8 cm 10 in B) 20 in 4
  • 5. Lesson 0­9 thru 0­12.notebook August 23, 2012 Find the surface area. C) 5 m 3 m 10 m D) 5 ft 6 ft 5
  • 6. Lesson 0­9 thru 0­12.notebook August 23, 2012 L0­11 & L0­12: Remember... *probability ­ favorable outcomes               total outcomes *sample space ­ a list of all the possible outcomes FYI...when the probability is 0 ­ the event is impossible to occur... when the probability is 1 ­ the event is certain to occur *complements ­ the events for and the events for NOT i.e. ­ P(rolling a 1) and P(not rolling a 1) FYI...the sum of the probabilities of any 2 complementary events is always 1 6
  • 7. Lesson 0­9 thru 0­12.notebook August 23, 2012 *tree diagram ­ one method used to list out all the possible outcomes of an event *Fundamental Counting Principle ­ the number of outcomes is related to the number of choices i.e. ­ if there are 4 possible sizes for fish tanks and 3 possible shapes,  then there are 4 x 3 or 12 possible fish tanks (outcomes) *odds ­  favorable outcomes               unfavorable outcomes 7
  • 8. Lesson 0­9 thru 0­12.notebook August 23, 2012 Examples (L0­11): A) Find the probability of rolling an even number (on one die). P(even)  = 3/6 = 1/2 B) Find the probability of rolling a number less than 5 (on one die). P(number less than 5) = 4/6 = 2/3 C) The spinner is spun and a die is tossed.  Use a tree diagram to find the sample space.  State  the number of outcomes.  A B C D 8
  • 9. Lesson 0­9 thru 0­12.notebook August 23, 2012 D) Find the ODDS of rolling an even number (on one die). E) Find the ODDS of rolling a number less than 5 (on one die). 9
  • 10. Lesson 0­9 thru 0­12.notebook August 23, 2012 MEASURES OF CENTRAL TENDENCY: *mean ­ average *median ­ middle (when put in order) *mode ­ most often MEASURES OF VARIATION: *range ­ highest minus lowest ­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­­ *quartiles ­ separates the data into 4 equal subsets (Q1, Q2, Q3) *Q1 (lower quartile) ­ median of the lower half *Q2 ­ median *Q3 (upper quartile) ­ median of the upper half 10
  • 11. Lesson 0­9 thru 0­12.notebook August 23, 2012 F) Find the mean, median, and mode for the data: 3, 11, 26, 4, 1 mean ­  median ­  mode ­  G) Find the range, median, lower quartile, and upper quartile for the data. 4, 7, 11, 19, 26, 26, 32 range ­  median ­  lower quartile ­  upper quartile ­  11
  • 12. Lesson 0­9 thru 0­12.notebook August 23, 2012 H) On her first 5 Algebra tests, Julie received the following scores:  82, 96, 92, 83, and 91.   What must she earn on the sixth test to have an average (mean) of 90? 12