Lesson Plans Math 2A

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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

Information on Probability Review the terms...

1/14/2008 Math 2a
1. HOMEWORK Due today: Page 39 #9
2. Warm-Ups: Measure Drill w/o sheet -or-
3. Percentage Proportion drills
4. Page 41ff Inv 4.1 (model option)

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. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Use an area model to represent the probability of two or more dependent events; solve problems by determining the probabilities of two or more dependent events. NOTES: HOMEWORK: Page 45 #1

Enter the values from your proportion problem. Place an x in the box where the unknown goes..
A  
C  

  = 
B  
D  

LeMieux, 2001

1/15/2008 Math 2a
1. HOMEWORK Due today: Page 45 #1
2. Warm-Ups: Measure Drill w/o sheet -or-
3. Percentage Proportion drills
4. Page 41ff Inv 4.1 (continued)

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. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Use an area model to represent the probability of two or more dependent events; solve problems by determining the probabilities of two or more dependent events. NOTES: HOMEWORK: P46 #4

  Percent Proportion Solver

1/16/2008 Math 2a
1. HOMEWORK Due today: P46 #4
2. Warm-Ups: Measure Drill w/o sheet -or-
3. Percentage Proportion drills
4. P43 ff Inv 4.2 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. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Use an area model to represent the probability of two or more dependent events; solve problems by determining the probabilities of two or more dependent events.4.2 deals with finding the best model which represents the best game a working backwards approach. NOTES: HOMEWORK: Page 45 #2&3

1/17/2008 Math 2a
1. HOMEWORK Due today: Page 45 #2&3
2. Warm-Ups: Measure Drill w/o sheet -or-
3. Percentage Proportion drills
4. Page 47 #6&7 - small group

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. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Use an area model to represent the probability of two or more dependent events; solve problems by determining the probabilities of two or more dependent events. Work in small groups to make a presentation of the results. NOTES: HOMEWORK: None

1/18/2008 Math 2a
1. HOMEWORK Due today: None
2. Warm-Ups: Measure Drill w/o sheet -or-
3. Percentage Proportion drills
4. Pp50ff Inv 5.1

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. 1.2.3 Understand how the unit of measure affects the precision of measurement. ACTIVITIES/ASSESSMENT: Pp50ff Inv 5.1 is an extension of the area model to expected value - NOTES: HOMEWORK: Page 55 #7

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