Subject Introduction to Algebra

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					                                   Probability
Author:                    Joann

Grade:                     9

Subject:                   Introduction to Algebra

Concept:                  Probability

Generalizations:
                      •   Probability is the number of desired outcomes over the total
                          outcomes.
                      •   Probability is the chance that a certain event will happen.

Facts/Terms:
                      •   Experimental probability is doing experiments and observing
                          and recording the number of times the desired outcome occurs
                          over the total number of outcomes.

Standards:
                      •   Students will know what is meant by probability.
                      •   They will know how to generate, collect, record, and interpret
                          data.

Essential Question:       In what areas of your life can you see probability being used?

Materials:                Data worksheet, marbles, and a paper bag

Differentiation Based Upon Readiness

At Grade Level:
                      •   Give each group of students a data sheet, three blue marbles,
                          two red marbles, and one yellow marble.
                      •   Let each group of students pick one marble, record the color on
                          the data sheet and put the marble back in the bag.
                      •   Do this experiment 100 times.
                      •   Count the number of times the blue marble comes out.
                      •   At the end of the class, record all the groups' findings.
                              o Ask: How did your results come out? Does that seem
                                  reasonable to you?

More Advanced:
                      •   Give each group of students a data sheet, three blue marbles,
                          two red marbles and one yellow marble.
                     •     Let each group of students pick two marbles at one time.
                     •     Record the color of each marble on the data sheet in the order
                           the two marbles were picked.
                     •     Then put the two marbles back in the bag.
                     •     Do this experiment 100 times.
                     •     Now count the number of times the blue then the red marble
                           appeared.
                     •     At the end of the class summarize the results of all the groups
                           for the entire class.
                               o Ask: How many times did the blue then the red marble
                                   appear? Does that answer seem reasonable?


              PROBABILITY GRAPHIC ORGANIZER

These six marbles are placed in a bag
BLUE I     BLUE II      BLUE III      RED I         RED II     YELLOW
Marble     Marble        Marble       Marble        Marble      Marble

P(B)=3/6                 If picked blueI first, then left BII,BIII,RI,RII, Y
                         If picked blueII first, then left BI,BIII,RI,RII, Y
P(red)=2/6               If picked blueIII first, then left BI,BII,RI,RII, Y
                         If picked redI first, then left BI,BII,BIII,RII,Y
                         If picked redII first, then left BI,BII,BIII,RI, Y
                         If picked yellow first, then BI,BII,BIII, RI,RII
P(Y)=1/6
P(B,then R)=6/30
P(R,then R)=2/30
P(Y,then R)=2/30