---

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

10-13-2006 Math 2a
1. Page 50 Walk Through 5.1 and 5.2

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: Model 5.1 and 5.2 as a further demonstration of using area models for difficult probabilities. Use the Launch materials. This is not A WASL item and therefore will not be graded. NOTES: HOMEWORK: Page 53 #1 - based on class presentation

10-14-2006 Math 2a
1. HOMEWORK Due today: Page 53 #1
2. Warm-Ups: Measure drills w/o sheet
3. P53ff 3, 7, 8, 9 - start

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: P53ff 3, 7, 8, 9. Problems will be worked on in teams with each person maintaining a copy of the work in case it is not finished and needs to be wrapped up as homework. NOTES: HOMEWORK: Any Unfinished P53ff 3, 7, 8, 9

10-15-2006 Math 2a
1. HOMEWORK Due today: Any Unfinished P53ff 3, 7, 8, 9
2. Warm-Ups: Measure drills w/o sheet
3. Page 59ff Problem 6.1 'Drawing Marbles' all
4. Info on Equivalent fractions/proportion

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: PAIRS Page 59ff Problem 6.1 'Drawing Marbles' Compute the theoretical probability and compare with experimental probability. NOTES: Mathematical and Problem-Solving Goals: •To find probabilities in situations that involve drawing with and without replacement •To find and compare theoretical and experimental probabilities •To use probability analysis to help make decisions. HOMEWORK: P64 #2 - Credit for explanation only - not the answer

10-16-2006 Math 2a
1. HOMEWORK Due today:P64 #2 - Credit for explanation only
2. Warm-Ups: Measure drills w/o sheet
3. P60ff Problem 6.2 'Choosing the best Game' all

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: P60ff Problem 6.2 'Choosing the best Game' all. Be able to explain strategies. NOTES: HOMEWORK: Page 65 #4 - draw accurately

10-17-2006 Math 2a
1. HOMEWORK Due today: Page 65 #4 - draw accurately
2. Warm-Ups: Measure drills w/o sheet
3. TEST Page 89 #3

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: Test on Investigation 6. May use notes - no text. Answers must include tables/charts/diagram all neatly labeled in addition to the answer to the questions. NOTES: Page 89 #3: A bag contains two red marbles and two white marbles. 3a. After a marble is drawn, it is replaced before the next draw. Explain how you determine the probability that a red marble will be drawn twice in a row. 3b. After a marble is drawn, it is NOT replaced before the next draw. Explain how you determine the probability that a red marble will be drawn twice in a row. HOMEWORK: P65 5b