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Mutually Exclusive vs. Independent vs. Complementary

Mutually Exclusive Events	If event A happens, then event B cannot, or vice-versa.
Independent Events	The outcome of event A has no effect on the outcome of event B.
Complementary Events	If the two events are the only possible outcomes, they are complementary. The outcome is either A or B only.
If A and B are mutually exclusive, they cannot be independent. Flip heads/Flip tails If A and B are independent, they cannot be mutually exclusive. Roll a 3/Flip tails If A and B are complementary, they cannot be independent. Flip heads/Flip tails either-or If A and B are complementary, they are mutually exclusive Flip heads OR Flip tails

11-27-2006 Math 2
1. Page 37 ACE 2-4 (a and b only)
2. Warm-Ups: Measure Drills (w/o sheets)

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement ACTIVITIES/ASSESSMENT: Page 37 ACE 2-4 (a and b only) Determining probability from area - evaluate. (Each problem has 2 parts) NOTES: Discuss Complementary, mutually exclusive and independent as appropriate. HOMEWORK: Page 39 #9

11-28-2006 Math 2
1. HOMEWORK Due today: Page 39 #9
2. Warm-Ups: Measure Drills (w/o sheets)
3. Page 41 Problem 4.1 Choosing paths

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement ACTIVITIES/ASSESSMENT: Page 41 Problem 4.1 Choosing paths. Using area models to determine outcomes from 2 stage events. DO a, run did.exe and continue with the exercise. Model 4.1 follow-up NOTES: Use DID.exe HOMEWORK: Page 45 1a (Show work)

11-29-2006 Math 2
1. HOMEWORK Due today: Page 45 1a (Show work)
2. Warm-Ups: Measure Drills (w/o sheets)
3. Page 43 Prob 4.2 Finding the Best Arrangement

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement ACTIVITIES/ASSESSMENT: Page 43 Prob 4.2 Finding the Best Arrangement. Students need to determine the best distribution of marbles to ensure success. Make a graphic showing how the marbles are arranged and how to determine the probability. NOTES: HOMEWORK: P45 #2

11-30-2006 Math 2
1. HOMEWORK Due today: P45 #2
2. Warm-Ups: Measure Drills (w/o sheets)
3. Page 48 #7

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement ACTIVITIES/ASSESSMENT: Page 48 #7 - Students are to analyse all of the possibilites to determine the choice with the highest probability of winning. NOTES: Make-up session if needed HOMEWORK: None

12-1-2006 Math 2
1. Page 50 Problem 5.1 Model
2. Warm-Ups: Measure Drills (w/o sheets)

OBJECTIVE: 1.4.1 Understand the concepts of complementary, independent, and mutually exclusive events 1.4.2 Understand and apply the procedures for determining the probabilities of multiple trials 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. 1.2.3 Understand how the unit of measure affects the precision of measurement ACTIVITIES/ASSESSMENT: Page 50 Problem 5.1 Model this assignment for bothe 1 and 1 and 2 shots. NOTES: HOMEWORK: P55 #7