ALEX Lesson Plans
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Title: Introduction to Probability
Description:
This lesson encourages the students to learn about probability within a group setting. It allows them to help each other gain a better understanding of how probability works. It teaches how to compute probability of basic problems and how to compute conditional probability.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7)
Title: Introduction to Probability
Description: This lesson encourages the students to learn about probability within a group setting. It allows them to help each other gain a better understanding of how probability works. It teaches how to compute probability of basic problems and how to compute conditional probability.
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Title: Don't Compound the Problem
Description:
Students will be able to determine the probability of a compound event. Drawing on their knowledge of simple probability to find the probability of more complex outcomes. Students will create a poster, PowerPoint, booklet, or foldable to display the process of calculating a compound probability.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7)
Title: Don't Compound the Problem
Description: Students will be able to determine the probability of a compound event. Drawing on their knowledge of simple probability to find the probability of more complex outcomes. Students will create a poster, PowerPoint, booklet, or foldable to display the process of calculating a compound probability.
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Title: Maybe  Maybe Not (Probability Introduction)
Description:
This is a beginning lesson on the concept of probability. Through a series of informal comparisons, the student will explore the chances of various outcomes of an event. The student will use vocabulary associated with probability.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: English Language Arts (3), or Mathematics (7), or Technology Education (3  5)
Title: Maybe  Maybe Not (Probability Introduction)
Description: This is a beginning lesson on the concept of probability. Through a series of informal comparisons, the student will explore the chances of various outcomes of an event. The student will use vocabulary associated with probability.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
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Title: What Are the Chances?
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Students will use technology to investigate probability from basic terms to the theoretical probability of events.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7), or Technology Education (6  8)
Title: What Are the Chances?
Description: Students will use technology to investigate probability from basic terms to the theoretical probability of events.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: The Name Game (incorporates measures of central tendency and probability).
Description:
This Investigation is adapted from the Connected Math Unit "Data About Us". This investigation develops some introductory statistical and probability techniques. Students collect and organize data about the numbers of letters in their names. This openended problem will help you to assess the techniques your students have developed to organize, summarize and display data.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Arts Education (7  12), or Mathematics (6  7)
Title: The Name Game (incorporates measures of central tendency and probability).
Description: This Investigation is adapted from the Connected Math Unit "Data About Us". This investigation develops some introductory statistical and probability techniques. Students collect and organize data about the numbers of letters in their names. This openended problem will help you to assess the techniques your students have developed to organize, summarize and display data.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Can You Curl Your Tongue?
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This lesson is adapted from a Connected Mathematics Unit, How Likely is It? This investigation introduces biology as a source of applications for probability. In this lesson, Curling your Tongue, students determine how many students in the class can curl their tongues and use this data to make predictions about the probability of any one student being able to curl his or her tongue. Then they "Tracing Traitsthe experimental method is compared with the way in which geneticists study a person’s traits: by examining the genetic makeup of the person’s parents, grandparents, and other relatives. Students then gain experience with determining whether people have the tonguecurling trait based on the genetic probabilities. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7), or Science (7)
Title: Can You Curl Your Tongue?
Description: This lesson is adapted from a Connected Mathematics Unit, How Likely is It? This investigation introduces biology as a source of applications for probability. In this lesson, Curling your Tongue, students determine how many students in the class can curl their tongues and use this data to make predictions about the probability of any one student being able to curl his or her tongue. Then they "Tracing Traitsthe experimental method is compared with the way in which geneticists study a person’s traits: by examining the genetic makeup of the person’s parents, grandparents, and other relatives. Students then gain experience with determining whether people have the tonguecurling trait based on the genetic probabilities. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Probability with Tree Diagrams
Description:
Following an Illuminations lesson on tree diagrams and probability, students work independently using a PowerPoint tutorial. The PowerPoint tutorial attachment provides review and practice problems.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7), or Technology Education (6  8)
Title: Probability with Tree Diagrams
Description: Following an Illuminations lesson on tree diagrams and probability, students work independently using a PowerPoint tutorial. The PowerPoint tutorial attachment provides review and practice problems.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Making Compound Probability Simple
Description:
Students will determine the probability of a compound event. Students will draw on their knowledge of simple probability to find the probability of more complex outcomes. Students will create a poster, PowerPoint, booklet, or foldable to display the process of calculating a compound probability.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics (7)
Title: Making Compound Probability Simple
Description: Students will determine the probability of a compound event. Students will draw on their knowledge of simple probability to find the probability of more complex outcomes. Students will create a poster, PowerPoint, booklet, or foldable to display the process of calculating a compound probability.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Probability What Are The Odds?
Description:
This lesson introduces the student to the concept of probability. Students will explore the meaning of theoretical and experimental probability by viewing interactive websites. A lab activity will be performed using cooperative learning groups to allow the students to determine experimental and theoretical probability.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s):
Subject: Mathematics (7), or Science (8), or Technology Education (3  5)
Title: Probability What Are The Odds?
Description: This lesson introduces the student to the concept of probability. Students will explore the meaning of theoretical and experimental probability by viewing interactive websites. A lab activity will be performed using cooperative learning groups to allow the students to determine experimental and theoretical probability.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Determining Fairness in Games of Chance
Description:
This activity reviews and incorporates the laws of probability. Students will analyze various games of chance to determine their "fairness". Students will also view a United Streaming video on gaming and do a math journaling activity to show understanding of probability and fairness in games of chance.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s):
Subject: Mathematics (7)
Title: Determining Fairness in Games of Chance
Description: This activity reviews and incorporates the laws of probability. Students will analyze various games of chance to determine their "fairness". Students will also view a United Streaming video on gaming and do a math journaling activity to show understanding of probability and fairness in games of chance.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: New York with $1200
Description:
CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!
Standard(s): [SS2010] CIV (7) 9: Apply principles of money management to the preparation of a personal budget that addresses housing, transportation, food, clothing, medical expenses, insurance, checking and savings accounts, loans, investments, credit, and comparison shopping.
Subject: Mathematics (7), or Social Studies (7), or Technology Education (6  8)
Title: New York with $1200
Description: CONGRATULATIONS!!! You are Demopolis Middle School’s first –place winner of the annual MATHATHON!!!!!!!!!! You and three of your classmates have been awarded an exciting trip to NEW YORK CITY! You will each be given $1200 to cover all your expenses during your three day stay. You must use only your $1200 prize to cover all expenses (transportation costs, hotel accommodations, food, gratuities (tips), souvenirs, and entertainment). Please budget your money carefully – decide which purchases are most important and budget these first. Don’t forget to have fun!!
Thinkfinity Lesson Plans
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Title: Combinations
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This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probabilityandstatistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problemsolving skills (including elimination and collection of organized data) and drawing conclusions. The use of higherlevel thinking skills (synthesis, analysis, and evaluations) is the overall goal.
Standard(s): [MA2013] DM1 (912) 12: Use combinatorial reasoning and counting techniques to solve applicationbased problems. (Alabama)
Subject: Mathematics Title: Combinations
Description: This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probabilityandstatistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problemsolving skills (including elimination and collection of organized data) and drawing conclusions. The use of higherlevel thinking skills (synthesis, analysis, and evaluations) is the overall goal. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Boxing Up
Description:
In this lesson, from Illuminations, students explore the relationship between theoretical and experimental probabilities. They use an interactive box model that allows them to simulate standard probability experiments such as flipping a coin or rolling a die.
Standard(s): [MA2013] ALT (912) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6]
Subject: Mathematics Title: Boxing Up
Description: In this lesson, from Illuminations, students explore the relationship between theoretical and experimental probabilities. They use an interactive box model that allows them to simulate standard probability experiments such as flipping a coin or rolling a die. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Birthday Paradox
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This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthdayproblem function.
Standard(s): [MA2013] PRE (912) 51: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. [SMD2]
Subject: Mathematics Title: Birthday Paradox
Description: This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthdayproblem function. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Explorations with Chance
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In this lesson, from Illuminations, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities for the learning phases of predicting results, playing the games, and calculating probability ratios.
Standard(s): [MA2013] ALT (912) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [SMD6]
Subject: Mathematics Title: Explorations with Chance
Description: In this lesson, from Illuminations, students analyze the fairness of certain games by examining the probabilities of the outcomes. The explorations provide opportunities for the learning phases of predicting results, playing the games, and calculating probability ratios. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Stick or Switch?
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This lesson, from Illuminations, presents a version of a classic gameshow scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors, which reveals no prize, and then asks if you wish to stick or switch. Which choice gives you the best chance to win? Students explore different approaches to this problem including guesses, experiments, computer simulations, and theoretical models.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Stick or Switch?
Description: This lesson, from Illuminations, presents a version of a classic gameshow scenario. You pick one of three doors in hopes of winning the prize. The host opens one of the two remaining doors, which reveals no prize, and then asks if you wish to stick or switch. Which choice gives you the best chance to win? Students explore different approaches to this problem including guesses, experiments, computer simulations, and theoretical models. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
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Title: Sticks and Stones Demo
Description:
This student interactive, from an Illuminations lesson, allows students to generate random throws for the game '' Sticks and Stones.'' In the game, three sticks are tossed and a player moves his or her marker according to how the sticks land.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Sticks and Stones Demo
Description: This student interactive, from an Illuminations lesson, allows students to generate random throws for the game '' Sticks and Stones.'' In the game, three sticks are tossed and a player moves his or her marker according to how the sticks land. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: Sticks and Stones
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In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game.
Standard(s): [MA2013] PRE (912) 50: (+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. [SMD1]
Subject: Mathematics Title: Sticks and Stones
Description: In this Illuminations lesson, students play Sticks and Stones, a game based on the Apache game Throw Sticks, which was played at multination celebrations. Students collect data, investigate the likelihood of various moves, and use basic ideas of expected value to determine the average number of turns needed to win a game. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
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Title: The Game of SKUNK
Description:
In this lesson, from Illuminations, students practice decisionmaking skills while playing a dice game called Skunk. This allows them to develop a better understanding of mathematical probability and of the concept of choice versus chance.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Subject: Mathematics Title: The Game of SKUNK
Description: In this lesson, from Illuminations, students practice decisionmaking skills while playing a dice game called Skunk. This allows them to develop a better understanding of mathematical probability and of the concept of choice versus chance. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Web Resources
Podcasts
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Title: Probability of Rolling Doubles
Description:
This Khan Academy video explains the probability of rolling doubles on a pair of dice.
Standard(s): [MA2013] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7SP8]
Probability of Rolling Doubles
https://www.khanacad...
This Khan Academy video explains the probability of rolling doubles on a pair of dice.

