**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): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]

**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.

**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): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]

**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.

**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, GEMS-U Project.
**Standard(s): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]

**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, GEMS-U Project.

**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.
**Standard(s): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]

**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.

**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!!

**Title:** Combinations

**Description:**
This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probability-and-statistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problem-solving skills (including elimination and collection of organized data) and drawing conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.
**Standard(s): **

[MA2015] DM1 (9-12) 12: Use combinatorial reasoning and counting techniques to solve application-based problems. (Alabama)

**Subject:**Mathematics

**Title:**Combinations

**Description:**This unit of two lessons, from Illuminations, focuses on combinations, a subject related to the probability-and-statistics strand of mathematics. Students are encouraged to discover all the combinations for a given situation using problem-solving skills (including elimination and collection of organized data) and drawing conclusions. The use of higher-level thinking skills (synthesis, analysis, and evaluations) is the overall goal.

**Thinkfinity Partner:**Illuminations

**Grade Span:**3,4,5,6,7,8

**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): **

[MA2015] ALT (9-12) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [S-MD6]

**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

**Title:** Birthday Paradox

**Description:**
This Illuminations lesson demonstrates the birthday paradox, using it as a springboard into a unit on probability. Students use the TI-83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthday-problem function.
**Standard(s): **

[MA2015] PRE (9-12) 51: (+) Calculate the expected value of a random variable; interpret it as the mean of the probability distribution. [S-MD2]

**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 TI-83 graphing calculator to run a Monte Carlo simulation with the birthday paradox and engage in a graphical analysis of the birthday-problem function.

**Thinkfinity Partner:**Illuminations

**Grade Span:**6,7,8,9,10,11,12

**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.
**Standard(s): **

[MA2015] ALT (9-12) 41: (+) Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator). [S-MD6]

**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

**Title:** Stick or Switch?

**Description:**
This lesson, from Illuminations, presents a version of a classic game-show 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): **

[MA2015] PRE (9-12) 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. [S-MD1]

**Subject:**Mathematics

**Title:**Stick or Switch?

**Description:**This lesson, from Illuminations, presents a version of a classic game-show 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

**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): **

[MA2015] PRE (9-12) 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. [S-MD1]

**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

**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 multi-nation 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): **

[MA2015] PRE (9-12) 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. [S-MD1]

**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 multi-nation 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

**Title:** The Game of SKUNK

**Description:**
In this lesson, from Illuminations, students practice decision-making 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): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]

**Subject:**Mathematics

**Title:**The Game of SKUNK

**Description:**In this lesson, from Illuminations, students practice decision-making 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

**Title:** How useful is probability?

**Digital Tool:**
What Happens If You Guess? TED-Ed Video **Web Address URL:**
https://www.youtube.com/watch?v=3V2omKRX9gc **Standard(s): **

[MA2015] (7) 24: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. [7-SP8]**Digital Tool Description:** This animated video describes how probability plays a role in everyday choices and demonstrates how beneficial guessing would be on a multiple choice test.

**Title:**How useful is probability?

**Digital Tool:**What Happens If You Guess? TED-Ed Video

**Digital Tool Description:**This animated video describes how probability plays a role in everyday choices and demonstrates how beneficial guessing would be on a multiple choice test.