Illustrative Math Alignment: Grade 6 Unit 8

Data Sets and Distributions

Lesson 3: Representing Data Graphically

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Math Clip Art--Statistics and Probability-- Statistical Variability--10	Math Clip Art--Statistics and Probability-- Statistical Variability--10 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Gathering
Definition--Measures of Central Tendency--Outlier	Outlier Topic Statistics Definition The outlier is is an extreme value for a data set. Description The Outlier is an important concept in statistics. While it doesn't represent the average data set, it does set the range of extreme values in the data set. An outlier can be extremely large or small. In mathematics education, understanding outlier is crucial as it lays the foundation for more advanced statistical concepts. It allows students to grasp the significance of data analysis and interpretation. In classes, students often perform exercises calculating the mean of sets, which enhances their understanding of averaging techniques.	Data Analysis
Definition--Statistics and Probability Concepts--Causation	Causation Topic Statistics and Probability Definition Causation refers to the relationship between two events where one event is affected by the other. Description Causation is a fundamental concept in statistics that distinguishes between correlation and causation. Understanding causation is vital in fields like medicine and social sciences to establish cause-effect relationships. For example, clinical trials are designed to establish causation between treatments and outcomes. Grasping causation is important for students to critically evaluate research findings and understand the implications of statistical analyses.	Data Analysis
Definition--Measures of Central Tendency--Normal Distribution	Normal Distribution Topic Statistics Definition The normal distribution is a measure of central tendency that provides an average representation of a set of data. Description The Normal Distribution is an important concept in statistics, used to summarize data effectively. In real-world applications, the Normal Distribution helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research.	Data Analysis
Definition--Statistics and Probability Concepts--Bivariate Data	Bivariate Data Topic Statistics and Probability Definition Bivariate data involves the analysis of two variables to determine relationships between them. Description Bivariate data is essential in statistics as it allows for the exploration of relationships between two variables, such as height and weight. This analysis is used in various fields, including economics, biology, and social sciences, to understand correlations and causations. For example, a scatter plot can be used to visually represent bivariate data, helping to identify trends or patterns.	Data Analysis
Definition--Measures of Central Tendency--Categorical Data	Categorical Data Topic Statistics Definition Categorical data refers to data that can be divided into specific categories or groups. Description Categorical data is essential for organizing and analyzing information that falls into distinct categories, such as gender, race, or product type. This type of data is often used in market research, social sciences, and public health studies to identify patterns and relationships between groups. In mathematics, understanding categorical data is crucial for interpreting bar charts, pie charts, and frequency tables.	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--Addition Rule of Probability	Addition Rule of Probability Topic Statistics and Probability Definition The Addition Rule of Probability is a key concept in statistics that helps in understanding the interaction between different events. Description The Addition Rule of Probability is crucial in the field of statistics because it allows us to make informed decisions based on the relationships between variables. For instance, in real-world applications, this concept is essential in various fields such as economics, social sciences, and health studies. Understanding how events affect each other can lead to better predictions and strategies.	Data Analysis
Definition--Statistics and Probability Concepts--Multiplication Rule of Probability	Multiplication Rule of Probability Topic Statistics and Probability Definition The multiplication rule of probability is used to find the probability of two independent events both occurring. Description The multiplication rule is essential in probability for calculating the likelihood of multiple independent events occurring together. This rule is applied in fields such as genetics, where the probability of inheriting multiple traits is determined. For students, understanding the multiplication rule is crucial for solving problems involving the probability of compound events and for developing a deeper understanding of probability theory.	Data Analysis
Definition--Statistics and Probability Concepts--Permutation 1	Permutation 1 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	Data Analysis
Definition--Statistics and Probability Concepts--Combination 1	Combination 1 Topic Statistics and Probability Definition A combination is a selection of items from a larger pool where order does not matter. Description Combinations are used in probability to determine the number of ways to select items from a set, which is crucial in fields like cryptography and game theory. The formula for combinations is where n is the total number of items, and r is the number of items to choose.	Data Analysis
Definition--Measures of Central Tendency--Probability Distribution	Probability Distribution Topic Statistics Definition A probability distribution describes how the values of a random variable are distributed. Description Probability distributions are fundamental in statistics, providing a mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. They are used in various fields such as finance, science, and engineering to model uncertainty and variability. For instance, the normal distribution is a common probability distribution that describes many natural phenomena.	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--Correlation Coefficient	Correlation Coefficient Topic Statistics and Probability Definition The correlation coefficient is a measure that quantifies the degree to which two variables are related.	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--Measures of Central Tendency--Probability Distribution	Probability Distribution Topic Statistics Definition A probability distribution describes how the values of a random variable are distributed. Description Probability distributions are fundamental in statistics, providing a mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. They are used in various fields such as finance, science, and engineering to model uncertainty and variability. For instance, the normal distribution is a common probability distribution that describes many natural phenomena.	Data Analysis
Definition--Measures of Central Tendency--Categorical Data	Categorical Data Topic Statistics Definition Categorical data refers to data that can be divided into specific categories or groups. Description Categorical data is essential for organizing and analyzing information that falls into distinct categories, such as gender, race, or product type. This type of data is often used in market research, social sciences, and public health studies to identify patterns and relationships between groups. In mathematics, understanding categorical data is crucial for interpreting bar charts, pie charts, and frequency tables.	Data Analysis
Definition--Measures of Central Tendency--Normal Distribution	Normal Distribution Topic Statistics Definition The normal distribution is a measure of central tendency that provides an average representation of a set of data. Description The Normal Distribution is an important concept in statistics, used to summarize data effectively. In real-world applications, the Normal Distribution helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research.	Data Analysis
Definition--Measures of Central Tendency--Outlier	Outlier Topic Statistics Definition The outlier is is an extreme value for a data set. Description The Outlier is an important concept in statistics. While it doesn't represent the average data set, it does set the range of extreme values in the data set. An outlier can be extremely large or small. In mathematics education, understanding outlier is crucial as it lays the foundation for more advanced statistical concepts. It allows students to grasp the significance of data analysis and interpretation. In classes, students often perform exercises calculating the mean of sets, which enhances their understanding of averaging techniques.	Data Analysis
Definition--Measures of Central Tendency	Measures of Central Tendency Topic Statistics Definition The measures of central tendency is a measure of central tendency that provides an average representation of a set of data. Description The Measures of Central Tendency is an important concept in statistics, used to summarize data effectively. In real-world applications, the Measures of Central Tendency helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For example, if a data set consists of the values 2, 3, and 10, the mean is calculated as (2 + 3 + 10)/3 = 5.	Data Analysis
Definition--Measures of Central Tendency	Measures of Central Tendency Topic Statistics Definition The measures of central tendency is a measure of central tendency that provides an average representation of a set of data. Description The Measures of Central Tendency is an important concept in statistics, used to summarize data effectively. In real-world applications, the Measures of Central Tendency helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For example, if a data set consists of the values 2, 3, and 10, the mean is calculated as (2 + 3 + 10)/3 = 5.	Data Analysis
Definition--Statistics and Probability Concepts--Population	Population Topic Statistics and Probability Definition A population is the entire group under consideration in a statistical study. Description Population is a fundamental concept in statistics, representing the complete set of individuals or items that share a common characteristic. Understanding a population is crucial for statistical analysis as it serves as the basis for sampling and inferential statistics.	Data Gathering
Math Clip Art--Statistics--Comparative Statistics--03	Math Clip Art--Statistics--Comparative Statistics--03 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Analysis
Math Clip Art--Statistics--Comparative Statistic--02	Math Clip Art--Statistics--Comparative Statistic--02 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Analysis
Math Clip Art--Statistics--Comparative Statistics--01	Math Clip Art--Statistics--Comparative Statistics--01 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Analysis
Math Clip Art--Statistics--Statistical Variability--03	Math Clip Art--Statistics--Statistical Variability--03 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Gathering
Math Clip Art--Statistics--Statistical Variability--04	Math Clip Art--Statistics--Statistical Variability--04 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Gathering
Math Clip Art--Statistics--Statistical Variability--02	Math Clip Art--Statistics--Statistical Variability--02 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Gathering
Math Clip Art--Statistics--Statistical Variability--01	Math Clip Art--Statistics--Statistical Variability--01 This is part of a collection of math clip art images that show different statistical graphs and concepts, along with some probability concepts.	Data Gathering
Definition--Statistics and Probability Concepts--Statistical Distribution	Statistical Distribution Topic Statistics and Probability Definition A statistical distribution describes how values of a variable are distributed. Description Statistical distributions are fundamental in understanding data behavior and variability. They are used in various fields, such as finance, to model asset returns, or in biology, to understand population dynamics. Common distributions include normal, binomial, and Poisson distributions, each with its own properties and applications.	Data Gathering
Definition--Statistics and Probability Concepts--Statistical Variability	Statistical Variability Topic Statistics and Probability Definition Statistical variability refers to the extent to which data points in a dataset differ from each other and from the central value. Description Understanding variability is essential in statistics as it provides insights into the consistency and reliability of data. Measures of variability, such as range, variance, and standard deviation, help in assessing the spread of data points around a central value.	Data Gathering
Worksheet: The Language of Math: Multiplication Equations, Worksheet 5	Worksheet: The Language of Math: Multiplication Equations, Worksheet 5 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical and Algebraic Expressions
Worksheet: The Language of Math: Multiplication Equations, Worksheet 4	Worksheet: The Language of Math: Multiplication Equations, Worksheet 4 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical and Algebraic Expressions
Worksheet: The Language of Math: Multiplication Equations, Worksheet 3	Worksheet: The Language of Math: Multiplication Equations, Worksheet 3 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical and Algebraic Expressions
Worksheet: The Language of Math: Multiplication Equations, Worksheet 2	Worksheet: The Language of Math: Multiplication Equations, Worksheet 2 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical and Algebraic Expressions
Worksheet: The Language of Math: Multiplication Equations, Worksheet 1	Worksheet: The Language of Math: Multiplication Equations, Worksheet 1 This is part of a collection of math worksheets on the topic of the language of math in which students translate verbal expressions into numerical expressions and then perform the calculations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Numerical and Algebraic Expressions
Worksheet: Analyzing Line Plots, Worksheet 5	Worksheet: Analyzing Line Plots, Worksheet 5 This is part of a collection of math worksheets on the topic of constructing and analyzing line plots from a given data set. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Analyzing Line Plots, Worksheet 4	Worksheet: Analyzing Line Plots, Worksheet 4 This is part of a collection of math worksheets on the topic of constructing and analyzing line plots from a given data set. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Analyzing Line Plots, Worksheet 3	Worksheet: Analyzing Line Plots, Worksheet 3 This is part of a collection of math worksheets on the topic of constructing and analyzing line plots from a given data set. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Analyzing Line Plots, Worksheet 2	Worksheet: Analyzing Line Plots, Worksheet 2 This is part of a collection of math worksheets on the topic of constructing and analyzing line plots from a given data set. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Analyzing Line Plots, Worksheet 1	Worksheet: Analyzing Line Plots, Worksheet 1 This is part of a collection of math worksheets on the topic of constructing and analyzing line plots from a given data set. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Probability Experiment, Worksheet 1	Worksheet: Probability Experiment, Worksheet 1 This is part of a collection of math worksheets on the topic of probability simulations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Probability Experiment, Worksheet 2	Worksheet: Probability Experiment, Worksheet 2 This is part of a collection of math worksheets on the topic of probability simulations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Probability Experiment, Worksheet 3	Worksheet: Probability Experiment, Worksheet 3 This is part of a collection of math worksheets on the topic of probability simulations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Worksheet: Probability Experiment, Worksheet 4	Worksheet: Probability Experiment, Worksheet 4 This is part of a collection of math worksheets on the topic of probability simulations. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
Video Transcript: Ratios and Rates: Rates from Data	Video Transcript: Ratios and Rates: Rates from Data This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates from Data. This is part of a collection of video transcripts for the video tutorial series on Ratios. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library To see the complete collection of video transcriptsy, click on this link. Video Library To see the complete collection of videos in the Video Library, click on this link.	Ratios and Rates
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Scatterplot Using a Statistics Window	Worksheet: TI-Nspire Mini-Tutorial: Graphing a Scatterplot Using a Statistics Window This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis
WORKSHEET: Word Search Puzzle--Data Analysis, Puzzle 1	WORKSHEET: Word Search Puzzle--Data Analysis, Puzzle 1 Solve a word search puzzle on the topic of Data Analysis. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is puzzle and answer key. Related Resources To see additional resources on this topic, click on the Related Resources tab.	Data Analysis
Worksheet: TI-Nspire Mini-Tutorial: A Probability Simulation of Tossing Two Coins Multiple Times (with Bar Graph)	Worksheet: TI-Nspire Mini-Tutorial: A Probability Simulation of Tossing Two Coins Multiple Times (with Bar Graph) This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Probability
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Box-and-Whisker Plot	Worksheet: TI-Nspire Mini-Tutorial: Graphing a Box-and-Whisker Plot This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity. To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file. Related Resources To see additional resources on this topic, click on the Related Resources tab. Worksheet Library To see the complete collection of Worksheets, click on this link.	Data Analysis