Lesson Plans Math 2

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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

10-13-2006 Math 2
1. HLII Assessment Review Pp67-77
2. Page 8 Investigation 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: Start on Page 8 Investigation 1.3 'Making Purple' which consists of a two event outcome - Strategies for finding experimental and theoretical outcomes. NOTES: HOMEWORK: P17 10 & 11

10-14-2006 Math 2
1. HOMEWORK Due today: P17 10 & 11
2. Warm-Ups: Measure drills w/o sheet
3. Finish Page 8 Investigation 1.3 'Making Purple' Measure Units Ladder
4. P11 Prob 1.4 Counting Trees

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: Finish Page 8 Investigation 1.3 'Making Purple'; P11 Prob 1.4 Counting Trees. Students will draw out counting trees to model outcomes. NOTES: Emphasis needs to be on the count in the final column. HOMEWORK: P 12 Follow-Up #1

10-15-2006 Math 2
1. HOMEWORK Due today: P 12 Follow-Up #1
2. Warm-Ups: Measure drills w/o sheet  Measure Units Ladder
3. Vocabulary and Counting tree Quiz
4. P 21 1&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: Vocabulary and Counting tree Quiz; P 21 1&2 NOTES: Vocabulary will contain the terms given from HLII as well as Mutually Exclusive and Complementary events. HOMEWORK: P 21 1&2

10-16-2006 Math 2
1. HOMEWORK Due today: P 21 1&2
2. Warm-Ups: Measure drills w/o sheet Measure Units Ladder
3. P22 Problem 2.1 'Addition Game'

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: P22 Problem 2.1 'Addition Game'; Making an organized list of outcomes. NOTES: Students will make an organized list of the outcomes. (Line plots, trees, tables, area models) HOMEWORK: Page 24 1-5a through 5g

10-17-2006 Math 2
1. HOMEWORK Due today: Page 24 1-5a through 5g
2. Warm-Ups: Measure drills w/o sheet Measure Units Ladder
3. P23 Problem 2.2 'Product Game'

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:P23 Problem 2.2 'Product Game' Students will make an organized list of the outcomes. NOTES: HOMEWORK: Page 28 #17

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