Illustrative Math Alignment: Grade 6 Unit 9

Putting it All Together

Lesson 6: Picking Representatives

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topics
Definition--Statistics and Probability Concepts--Mutually Exclusive Events	Mutually Exclusive Events Topic Statistics and Probability Definition Mutually exclusive events are events that cannot occur simultaneously. Description In probability, mutually exclusive events are crucial for understanding scenarios where the occurrence of one event precludes the occurrence of another. This concept is applied in decision-making processes, such as project management, where choosing one option excludes others. For students, grasping mutually exclusive events is important for accurately calculating probabilities and understanding the structure of probability spaces.	Probability
Definition--Statistics and Probability Concepts--Permutation 2	Permutation 2 Topic Statistics and Probability Definition A permutation is an arrangement of items in a specific order. Description Permutations are used in probability and combinatorics to determine the number of ways to arrange a set of items, which is crucial in fields like cryptography, where secure codes are generated. The formula for permutations is	Probability
Definition--Statistics and Probability Concepts--Probability	Probability Topic Statistics and Probability Definition Probability quantifies the likelihood of an event occurring. Description Probability is a key concept in statistics that assesses the chance that a specific event will occur out of all possible outcomes. This concept is widely used in various fields such as gambling, insurance, and any scenario involving uncertainty.	Probability
Definition--Statistics and Probability Concepts--Sample Space	Sample Space Topic Statistics and Probability Definition A sample space is the set of all possible outcomes in a probability experiment. Description The sample space is a foundational concept in probability, providing the framework within which probabilities are assigned to events. It is used in various fields, such as finance, to model different investment outcomes, or in engineering to predict system failures. Understanding the sample space is crucial for students to accurately calculate probabilities and analyze different scenarios. It helps them develop a comprehensive understanding of how different events relate to each other within a probability model.	Probability
Definition--Statistics and Probability Concepts--Scatterplot	Scatterplot Topic Statistics and Probability Definition A scatterplot is a graphical representation of the relationship between two numerical variables. Description Scatterplots are essential tools in statistics for visualizing the correlation between two variables. They are widely used in fields like economics and biology to identify trends and relationships in data. For students, understanding scatterplots is important for interpreting data visually and analyzing the strength and direction of relationships between variables. This skill is crucial for developing their ability to conduct statistical analyses and draw meaningful conclusions from data.	Data Analysis
Definition--Statistics and Probability Concepts--Stem-and-Leaf Plot	Stem-and-Leaf Plot Topic Statistics and Probability Definition A stem-and-leaf plot is a graphical representation that organizes data points based on their place value. Description Stem-and-leaf plots are useful for displaying the distribution of a dataset in a concise format, preserving the original data while showing its shape. They are particularly helpful in exploratory data analysis to identify patterns and outliers. In educational settings, stem-and-leaf plots are used to teach students about data organization and visualization. Understanding this concept helps students develop skills in data interpretation and enhances their ability to summarize data effectively.	Data Analysis
Math in the News: Issue 105--Movie Statistics: 2014	Math in the News: Issue 105--Movie Statistics: 2014 January 2015. In this issue of Math in the News we review box office statistics for the previous year. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Data Analysis