---

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

12/3/2007 Math 2a
1. P5ff Problem 1.1

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. ACTIVITIES/ASSESSMENT:P5ff Problem 1.1 start in the What Do You Expect? book. NOTES: Emphasis on Fractional probabilities and then converting to decimal and percentage probabilities. 1.2.1 Analyze how a change in a linear dimension affects other linear measurements (perimeter, circumference) and area measurements. HOMEWORK: Pp13-15 1-7

12/4/2007 Math 2a
1. HOMEWORK Due today: Pp13-15 1-7
2. Page 7 Problem 1.2 all
3. Expression/Equation Test  Study Sheet

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. ACTIVITIES/ASSESSMENT: start on problem 1.2 which starts to deal with the ideas of experimental and theoretical probability. Need to introduce mutually exclusive and complementary events as well. NOTES: HOMEWORK: Page 19 #18

12/5/2007 Math 2a
1. HOMEWORK Due today: Page 19 #18
2 Finish P7 Prob. 1.2
3. Measure Drill w/sheet   Measure Units Ladder
4. Page 8 Problem 1.3 'Making Purple'

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 8 Problem 1.3 'Making Purple' NOTES: HOMEWORK: Page 17 #10 and #11

12/6/2007 Math 2a
1. HOMEWORK Due today: Page 17 #10 and #11
2. Measure Drill w/sheet  Measure Units Ladder
3. P10ff Problem 1.4 "making counting trees' + Follow-Up

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: P10ff Problem 1.4 "making counting trees' + Follow-Up. The primary emphasis of this lesson is to make a counting tree to determine the number of outcomes. NOTES: HOMEWORK: P16 #9

12/7/2007 Math 2a
1. HOMEWORK Due today: P16 #9
2. Measure Drill w/sheet   Measure Units Ladder
3. Pp17 ff 12-18
4. Make-Up Credit* P164 Additional Practice Inv 1 (2cr)

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: Pp17 ff 12-18 - students will work with assigned partners to solve these problems based on fair games and counting outcomes. NOTES: HOMEWORK: Page 21 1a and 2a