9 Probability

Although initially intuitive, probability challenges intuition.

Objectives

Glencoe Mathematics:  Applications & Concepts-course 2

Unit 5:  Prime numbers, fractions & percents

(p. 194-?)


5.1.1  Find prime factors of composite numbers.

5.1.2 Reduce fractions by factoring both numerator and denominator to prime numbers then cancelling factors common to numerator and denominator.

5.2 Find greatest common factor (GCF) of two or more numbers (using prime factor method).

5.3 Find least common multiple (LCM) of two numbers, using prime factor technique.


05.22 Thursday

Objective(s)

Experience probability.


Lesson

(1) Collect tree assignment. (2) Teach students (9-3) "Fundamental Counting Principal.  Students do 9-3 worksheet in class.  (3) Teach students factorial numbers and assign 9-4.  Both due next class.

Assignment due next class


Next class:  handout 9-3 and 9-4 both due.



05.21 Wednesday

Objective(s)

Experience probability.


Lesson

(1) Collect 4 sided die (and more than 6 sided for extra credit). (2) Teach tree diagram.  Students do tree diagram assignment. (3) Hand in textbooks.

Assignment due next class


Tree diagram assignment due next class (worksheet)



05.19 Monday

Objective(s)

Experience probability.


Lesson

(1) Collect assignment from last class.  (2) Students determine probability using coins [S/ did not understand concept...] (3) Students do next "experience" assignment.

Assignment due next class


For all of the following questions please show all work:

Using a dice with only four sides: A, B, C, D, show "all possibilities" for: 

a) P(A) when using only once dice;


b) Show all possibilities when rolling three four sided dice.


c) Make a 4 sided die.  Label each side with one letter: A or B or C or D.  Put your name clearly on it.



05.15 Thursday

Objective(s)

Experience probability.


Lesson

(1) Using data from yesterday's tedious list of all possibilities, I told students that:  P(1,1,1): 1/216, how many times two ones are possible P(two 1s in any order): 15/216, and how many times one one is possible P(one 1 in any order): 75/216.  (2) Students work on determining how to get those numbers by calculation to avoid having to write out "all possibilities"!  (3) After students work on that for a while, help them by demonstrating the solution. 

Assignment due next class


For all of the following questions please show all work:

(1) Using four dice, find: 

P(four 1s):

P(three 1s):

P(two 1s):

P(one 1):


(2) Using five dice, find:

P(Yahtzee):

P(four of a kind):

P(three of a kind):




05.14 Wednesday

Objective(s)

Experience probability.


Lesson

(1) Students write down all possible combinations of three dice.  [This will be a table of six columns by thirty-six rows.] (2) Students identify, out of all 216 possible combinations, how many time three ones are possible [ P(1,1,1), how many times two ones are possible P(two 1s in any order), and how many times one one is possible P(one 1 in any order). (3) After students finish this and determine those P then they may play Yahtzee. 

Assignment due next class


None!

05.12 Monday

Objective(s)

Experience probability.


Lesson

(1) Students play Yahtzee" to experience probabilistic environment.  [Later we will determine probability.]

Assignment due next class


None!

05.08 Thursday

Objective(s)

Introduce probability.


Lesson

(1) Students write down all possible combinations of two dice.  [This will be a table of six columns by six rows.] (2) Students identify, out of 36 possible combinations, how many time two ones are possible [ P(1,1): 1/36 = 1/6 * 1/6]

Assignment due next class


Complete empty spreadsheet.  In class on Thursday we will fill in the spreadsheet.

05.07 Wednesday

Objective(s)

Introduce probability.


Lesson

Students take notes to determine:  (1) Probability of getting any single number on a die. (2) Probability of getting a specific sum (like eight or ten) when rolling two die.  Students list "all possible outcomes" and manually cross off their list to identify the number of times out of all 36 that would produce a 5, a 7, a 12 and so on. [Note that 1 is not possible because you are rolling two dice.]

Assignment due next class

Page 372 # 4-9


05.05 Monday

Objective(s)

Introduce probability.


Lesson

(1) Students collect all the tickets from Mr. Currey's hair lottery and identify the number of tickets each purchaser bought.  Record thier data in Google Docs.

Assignment due next class


None

Copyright 2008 Jay Reimer    (You can email me at jay.reimer@gmail.com)  The site map is here.