Course 7 th Grade Math Student Objective (Obj. 5d) TSW determine probability through experimentation and calculations. DETAIL LESSON PLAN Tuesday, April 16 / Wednesday, April 17 Lesson 12-1, 12-2 Probability (Textbook Pages: 580-589) Extra Resources Bring a basket and set of balls for demonstration on experimental probability. Homework Probability Practice Sheet (3 problems) Last Night s Homework None Bellwork MCT Practice Test (Form A) Problem numbers. Prior Knowledge Earlier in the year, we learned to convert between fractions, decimals and percents. Let me show you a program that will help you convert between fractions, decimals, and percents. You will have to share graphing calculators due to MAP testing. Fraction Decimal.75 Percent 75% Anticipatory Set TODAY we will be using those skills to help us calculate something called. Probability. Let s take a look at how probability is used on the TV game show Wheel of Fortune (Display transparencies) Teacher Input Pass out Student Notes. Define probability. Explain that there are two types of probability theoretical and experimental Demonstrate theoretical probability Allow students to work you-try problems Demonstrate experimental probability (Do basketball experiment if time.) Allow students to work you-try problems Classwork: Berg Probability Practice Sheet Extra Practice: Students may begin homework. Assessment Observation and questioning. Closure 1. Name the two types of probability that we learned about in class today. Theoretical and Experimental 2. We have a bag that contains 3 red marbles and 5 yellow marbles. Alex randomly reaches his hand in and grabs a marble. As a fraction What is the probability that he will pull out a yellow marble? What is the probability that he will pull out a green! 0 3. What type of probability is the marble question above? Theoretical or Experimental Alternative Closure: Demonstrate experimental probability (Do basketball experiment if time.)
Wheel of fortune is a popular game show hosted by Pat Sajak and Vanna White. Three contestants compete against each other to solve a word puzzle, similar to the game hangman. The name of the show comes from the large wheel that determines the dollar amount and prizes won (or lost) by the contestants!
If you were a contestant on the Wheel of Fortune, you might be interested in knowing what the probability is that you will land on $300, $5,000, or Bankrupt when you spin the wheel! $300 =.2083333 = 21% $5,000 =.041666 = 4% Let s find out more about Probability
Student Notes Lesson 12-1, 12-2 Probability Textbook Pages (586-589) What is Probability? Probability allows you to calculate how likely something is to happen. Probability can be expressed as a fraction, a decimal, or a percent! There are two types of probability: Theoretical Probability Experimental Probability Theoretical Probability (In theory what will happen?) It allows you to calculate the chance (or the odds) of an event happening BEFORE it actually happens. Formula: P (event) = number of favorable outcomes total number of possible outcomes Example 1 Green Red Green Green Red The above marbles are in a marble bag. What is the theoretical probability of selecting each of the following if you were to reach your hand inside the bag and pull one out? Express your answer as a fraction, decimal, and percent! Answer P (selecting a red marble): 2 out of 10 chance =.2 = 20 % P (selecting a blue marble): 5 out of 10 chance =.5 = 50 % P (green): fraction: decimal: percent: P (red or blue): fraction: decimal: percent:
Experimental Probability (Doing an experiment to see what actually happens!) We can use experimental probability to help us predict outcomes! Formula: P (event) = number of actual outcomes total number of trials Coin Toss Example The following table shows the outcomes from tossing a coin 8 times. Toss #1 #2 #3 #4 #5 #6 #7 #8 Outcome H H T H T T H H What is the experimental probability of tossing tails? P(tails) = = or.375 or 37.5% What is the experimental probability of tossing heads? P(heads) = fraction: decimal: percent:
Name: Date: Period: Theoretical Probability Probability Classwork Determine the Theoretical Probability of each. Write your answer as a fraction, decimal and percent. If needed round to nearest tenth. 1. P(rolling a 6 on a dice) fraction decimal percent 2. P(spinning a 3) fraction decimal percent P(spinning a 3 or a 4) fraction decimal percent 3. You mix the letters: A, C, Q, U, A, I, N, A, N, C in a bag. Without looking, you select one letter. Find the probability of the following events: P (A) = fraction decimal percent P (C) = fraction decimal percent Experimental Probability 4. Lisa tosses a quarter 80 times. It actually lands on heads 40 times. What is the experimental probability of the following event? What is P(heads): fraction decimal percent
Name: Answer Key Date: Period: Probability Theoretical Probability Determine the Theoretical Probability of each. Write your answer as a fraction, decimal and percent. Classwork If needed round to nearest tenth. 1. P(rolling a 6 on a dice) fraction decimal.16666 percent 16.7%.167 (rounded) 2. P(spinning a 3) fraction decimal.375 percent 37.5% P(spinning a 3 or a 4) fraction = decimal.5 percent 50% 3. You mix the letters: A, C, Q, U, A, I, N, A, N, C in a bag. Without looking, you select one letter. Find the probability of the following events: P (A) = fraction decimal.3 percent 30% P (C) = fraction = decimal.2 percent 20% Experimental Probability 4. Lisa tosses a quarter 80 times. It actually lands on heads 40 times. What is the experimental probability of the following event? What is P(heads): fraction = decimal.5 percent 50%
Name: Date: Period: Probability Determine the Theoretical Probability of each. Write your answer as a fraction, decimal and percent. If needed round to nearest tenth. You spin the above spinner 1 time. Find the probability of the following events: 1. P(red) fraction decimal percent P(blue or green) fraction decimal percent 2. You mix the letters: A, C, Q, U, A, I, N, A, N, C in a bag. Without looking, you select one letter. Find the probability of the following event: P (Q) = fraction decimal percent 3. Eric put 2 green marbles, 5 red marbles, 5 yellow marbles, and 8 blue marbles into a box. 2 green marbles 5 red marbles 5 yellow marbles 8 blue marbles 20 total If Eric randomly takes one marble from the box, what is the probability of him choosing a red marble? (remember to simplify your fraction, then select your answer!) A) B) C) D)
Name: Answer Key Date: Period: Probability Determine the Theoretical Probability of each. Write your answer as a fraction, decimal and percent. If needed round to nearest tenth. You spin the above spinner 1 time. Find the probability of the following events: 1. P(red) fraction = decimal.5 percent 50% P(blue or green) fraction = decimal.5 percent 50% 2. You mix the letters: A, C, Q, U, A, I, N, A, N, C in a bag. Without looking, you select one letter. Find the probability of the following event: P (Q) = fraction decimal.1 percent 10% 3. Eric put 2 green marbles, 5 red marbles, 5 yellow marbles, and 8 blue marbles into a box. 2 green marbles 5 red marbles 5 yellow marbles 8 blue marbles 20 total If Eric randomly takes one marble from the box, what is the probability of him choosing a red marble? (remember to simplify your fraction, then select your answer!) A) B) C) D)