COMMON CORE OBJECTIVES S.CP.A.1 TO S.CP.A.3

S.CP.A.1 Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).


S.CP.A.2 Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.


S.CP.A.3 Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

 

COMMON CORE OBJECTIVES S.CP.A.4 TO S.CP.A.6
COMMON CORE OBJECTIVES S.CP.B.7 TO S.CP.B.9

 


   

(1) This first week is all about setting the stage for the following weeks of probability.  We will investigate sample spaces, uniform probability, and the fundamental counting principle.

(2) This week will be about putting a picture to probability using Venn Diagrams.  Venn diagrams provide a great support to students to see and understand intersections, unions and probability. 

(3) The basics lead us into probably the most important concept of the unit – independence.  We look the basic independence rule for multiplication and then look at independence of in conditional statements. 

(4) Two way frequency tables form a nice way to consolidate all of the things learned so far.  In two way tables we will determine basic probabilities, conditional probabilities and independence.  HSS.CP.A.5 has the student explore the world around them.

(5) HONORS ONLY – Finally, we look into permutation and combinations to calculate more complex sample spaces.  (*S.CP.B.9 is an honors objective) We then use permutations and combinations to help us determine probabilities.