Illustrative Math Alignment: Grade 7 Unit 8

Probability and Sampling

Lesson 3: What Are Probabilities?

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Definition--Statistics and Probability Concepts--Probability Model	Probability Model Topic Statistics and Probability Definition A probability model is a mathematical representation of a random phenomenon. Description Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.	Probability
Definition--Statistics and Probability Concepts--Probability Model	Probability Model Topic Statistics and Probability Definition A probability model is a mathematical representation of a random phenomenon. Description Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.	Probability
Definition--Statistics and Probability Concepts--Probability Model	Probability Model Topic Statistics and Probability Definition A probability model is a mathematical representation of a random phenomenon. Description Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.	Probability
Definition--Statistics and Probability Concepts--Probability Model	Probability Model Topic Statistics and Probability Definition A probability model is a mathematical representation of a random phenomenon. Description Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.	Probability
Definition--Statistics and Probability Concepts--Probability Model	Probability Model Topic Statistics and Probability Definition A probability model is a mathematical representation of a random phenomenon. Description Probability models are essential in understanding how to quantify uncertainty in various scenarios. They can be as simple as a coin toss or as complex as predicting stock market trends. These models usually incorporate the outcomes of an event and their associated probabilities.	Probability
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Probability Notation	Probability Notation Topic Statistics and Probability Definition Probability notation is a standardized way of expressing probabilities. Description Probability notation provides a concise language for defining and communicating probabilities in mathematics. It helps in avoiding confusion in statistical communication. Common symbols include P(A) for the probability of event A occurring.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table	Relative Frequency Table Topic Statistics and Probability Definition A relative frequency table displays the proportion of total occurrences for each category of data. Description Relative frequency tables are important in statistics as they summarize data in a way that makes it easy to analyze proportions and patterns within datasets. These tables allow for quick comparisons of different categories based on their frequency relative to the total.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Residuals	Residuals Topic Statistics and Probability Definition Residuals are the differences between observed and predicted values in a dataset. Description In statistics, residuals are crucial for assessing the accuracy of predictions generated by statistical models. They represent the errors in prediction, providing insight into the model's performance and areas for potential improvement.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Definition--Statistics and Probability Concepts--Two-Way Frequency Table	Two-Way Frequency Table Topic Statistics and Probability Definition A two-way frequency table displays the frequency of data points across two categorical variables. Description Two-way frequency tables are essential for analyzing the relationship between two categorical variables, often used in survey analysis to explore associations between different demographic factors. They help in identifying patterns and correlations within datasets.	Data Analysis
Formulas--Combinatons	Formulas--Combinatons The formula for Combinations. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Probability
Formulas--Permutations	Formulas--Permutations The formula for Permutations. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Probability
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5: Playing Poker	Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 5 In this tutorial, learn about the permutations and combinations involved in calculating card arrangements. This lesson calculates the probabilities of getting a pair of cards on the first draw. A card simulator is used. —Click on Preview to see the tutorial—	Probability and Combinatorics
INSTRUCTIONAL RESOURCE: Math Examples 39	INSTRUCTIONAL RESOURCE: Math Examples--Probability This set of tutorials provides 28 examples of how to solve probability problems. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Probability
INSTRUCTIONAL RESOURCE: Math Examples 39	INSTRUCTIONAL RESOURCE: Math Examples--Probability This set of tutorials provides 28 examples of how to solve probability problems. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Probability
Instructional Resource: Tutorial: Geometric Probability	INSTRUCTIONAL RESOURCE: Tutorial: Geometric Probability This tutorial provides an overview of geometric probability. This is part of a collection of math tutorials on a variety of math topics. To see the complete collection of these resources, click on this link. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Probability
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1	Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 1 In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. You will also use a simulation of a deck of cards to run probability experiments. —Click on Preview to see the tutorial—	Probability
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2	Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 2 In this tutorial, learn about the probability of drawing a specific card from a deck of 52 cards. You will also use a simulation of a deck of cards to run probability experiments. In this lesson look at probabilities involving card group, as well as probabilities involving AND and OR. —Click on Preview to see the tutorial—	Probability
Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3: Pocket Aces	Instructional Resource: Tutorial: Probability and Playing Cards, Lesson 3 In this tutorial, learn about the probability of drawing two aces consecutively from a deck of 52 cards. You will also use a simulation of a deck of cards to run probability experiments. This lesson covers dependent events and compound probability. —Click on Preview to see the tutorial—	Probability
Math Clip Art--Dice and Number Models--Dominoes Set	Math Clip Art--Dice and Number Models--Dominoes Set Topic Probability and Statistics Description This image is part of a comprehensive series showcasing dice and various number models used in mathematics education. The specific content of this image, as indicated by its title, features a set of dominoes. Dominoes are versatile mathematical tools that can be used to teach a wide range of concepts, from basic arithmetic to probability.	Counting, Number Names and Order Number
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 1 Showing	Math Clip Art--Dice and Number Models--Single Die with 1 Showing Topic Probability and Statistics Description This image is part of a series that illustrates various dice and number models used in mathematics education. The specific content of this image, as indicated by its title, shows a single die with the number 1 facing up. This simple yet effective visual aid is crucial for introducing basic concepts of probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 2 Showing	Math Clip Art--Dice and Number Models--Single Die with 2 Showing Topic Probability and Statistics Description This image is part of a comprehensive series showcasing dice and various number models used in mathematics education. The specific content of this image, as indicated by its title, displays a single die with the number 2 facing up. This visual representation is an essential tool for teaching fundamental concepts in probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 2 Showing	Math Clip Art--Dice and Number Models--Single Die with 2 Showing Topic Probability and Statistics Description This image is part of a comprehensive series showcasing dice and various number models used in mathematics education. The specific content of this image, as indicated by its title, displays a single die with the number 2 facing up. This visual representation is an essential tool for teaching fundamental concepts in probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 2 Showing	Math Clip Art--Dice and Number Models--Single Die with 2 Showing Topic Probability and Statistics Description This image is part of a comprehensive series showcasing dice and various number models used in mathematics education. The specific content of this image, as indicated by its title, displays a single die with the number 2 facing up. This visual representation is an essential tool for teaching fundamental concepts in probability and statistics.	Probability
Math Clip Art--Dice and Number Models--Single Die with 2 Showing	Math Clip Art--Dice and Number Models--Single Die with 2 Showing Topic Probability and Statistics Description This image is part of a comprehensive series showcasing dice and various number models used in mathematics education. The specific content of this image, as indicated by its title, displays a single die with the number 2 facing up. This visual representation is an essential tool for teaching fundamental concepts in probability and statistics.	Probability