Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 8

Data Sets and Distributions

Lesson 18: Using Data to Solve Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I Closed Captioned Video: Measures of Central Tendency: Finding the Mean of a Data Set I

In this video tutorial students learn how to calculate the mean when all of the data items are positive numbers. Includes three real-world examples.

 Data Analysis and Data Gathering
Math Clip Art--Statistics--Line Plots with Data, Image 1 Math Clip Art--Statistics--Line Plots with Data--01 Math Clip Art--Statistics--Line Plots with Data--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--Line Plots with Data, Image 2 Math Clip Art--Statistics--Line Plots with Data--02 Math Clip Art--Statistics--Line Plots with Data--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--Line Plots with Data, Image 3 Math Clip Art--Statistics--Line Plots with Data--03 Math Clip Art--Statistics--Line Plots with Data--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--Line Plots with Data, Image 4 Math Clip Art--Statistics--Line Plots with Data--04 Math Clip Art--Statistics--Line Plots with Data--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 Analysis
Math Clip Art--Statistics--Line Plots with Data, Image 5 Math Clip Art--Statistics--Line Plots with Data--05 Math Clip Art--Statistics--Line Plots with Data--05

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--Line Plots with Data, Image 6 Math Clip Art--Statistics--Line Plots with Data--06 Math Clip Art--Statistics--Line Plots with Data--06

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--Line Plots with Data, Image 7 Math Clip Art--Statistics--Line Plots with Data--07 Math Clip Art--Statistics--Line Plots with Data--07

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--Line Plots with Data, Image 8 Math Clip Art--Statistics--Line Plots with Data--08 Math Clip Art--Statistics--Line Plots with Data--08

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--Line Plots with Data, Image 9 Math Clip Art--Statistics--Line Plots with Data--09 Math Clip Art--Statistics--Line Plots with Data--09

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--Line Plots with Data, Image 10 Math Clip Art--Statistics--Line Plots with Data--10 Math Clip Art--Statistics--Line Plots with Data--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 Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 1 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 1 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 1

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 2 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 2 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 2

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 3 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 3 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 3

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 4 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 4 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 4

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 5 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 5 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 5

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 6 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 6 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 6

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 7 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 7 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 7

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 8 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 8 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 8

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 9 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 9 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 9

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 10 Math Example--Charts, Graphs, and Plots--Analyzing Scatterplots: Example 10 Math Example--Charts, Graphs, and Plots-- Analyzing Scatterplots: Example 10

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 6 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 6 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 6

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 5 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 5 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 5

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 4 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 4 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 4

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 3 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 3 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 3

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 2 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 2 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 2

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 1 Math Example--Charts, Graphs, and Plots--Graphs of Categorical Data--Example 1 Math Example--Charts, Graphs, and Plots-- Graphs of Categorical Data--Example 1

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Video Transcript: Measures of Central Tendency: The Mean and Normally Distributed Data Video Transcript: Measures of Central Tendency: The Mean and Normally Distributed Data Video Transcript: Measures of Central Tendency: The Mean and Normally Distributed Data

This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: The Mean and Normally Distributed Data."

This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. 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.

 Data Analysis and Data Gathering
Slide6.jpeg Video Tutorial: Measures of Central Tendency: The Mean and Normally Distributed Data Video Tutorial: Measures of Central Tendency: The Mean and Normally Distributed Data

This is part of a collection of video tutorials on the topic of Measures of Central Tendency.

 Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Mode of a Data Set Video Transcript: Measures of Central Tendency: Finding the Mode of a Data Set Video Transcript: Measures of Central Tendency: Finding the Mode of a Data Set

This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set."

This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. 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.

 Data Analysis and Data Gathering
Slide5.jpeg Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set Video Tutorial: Measures of Central Tendency: Finding the Mode of a Data Set

This is part of a collection of video tutorials on the topic of Measures of Central Tendency.

 Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Median of a Data Set Video Transcript: Measures of Central Tendency: Finding the Median of a Data Set Video Transcript: Measures of Central Tendency: Finding the Median of a Data Set

This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set."

This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. 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.

 Data Analysis and Data Gathering
Slide3.jpeg Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set Video Tutorial: Measures of Central Tendency: Finding the Median of a Data Set

This is part of a collection of video tutorials on the topic of Measures of Central Tendency.

 Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set II Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set II Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set II

This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set II."

This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. 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.

 Data Analysis and Data Gathering
Slide2.jpeg Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set II Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set II

This is part of a collection of video tutorials on the topic of Measures of Central Tendency.

 Data Analysis and Data Gathering
Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set I Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set I Video Transcript: Measures of Central Tendency: Finding the Mean of a Data Set I

This is the transcript for the video entitled, "Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set I."

This is part of a collection of video transcripts for the video tutorial series on Measures of Central Tendency. 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.

 Data Analysis and Data Gathering
Slide1_0.jpeg Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set I Video Tutorial: Measures of Central Tendency: Finding the Mean of a Data Set I

This is part of a collection of video tutorials on the topic of Measures of Central Tendency.

 Data Analysis and Data Gathering
Video Transcript: Place Value: Organizing Data Using Place Value Video Transcript: Place Value: Organizing Data Using Place Value Video Transcript: Place Value: Organizing Data Using Place Value

This is the transcript for the video entitled "Video Tutorial: Place Value: Organizing Data Using Place Value."

This is part of a collection of video transcripts for the video tutorial series on Place Value. 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.

 Place Value
PlaceValueTitleScreen--3.jpg Video Tutorial: Place Value: Organizing Data Using Place Value Video Tutorial: Place Value: Organizing Data Using Place Value

This is part of a collection of video tutorials on the topic of Place Value.

 Place Value
Definition--Measures of Central Tendency--Outlier 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--Normal Distribution 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 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 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--Probability Distribution 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
Math Example--Linear Function Concepts--Linear Data Model: Example 4 Math Example--Linear Function Concepts--Linear Data Model: Example 4 Math Example--Linear Function Concepts--Linear Data Model: Example 4

Topic

Linear Functions

 Data Analysis
Math Example--Linear Function Concepts--Linear Data Model: Example 3 Math Example--Linear Function Concepts--Linear Data Model: Example 3 Math Example--Linear Function Concepts--Linear Data Model: Example 3

Topic

Linear Functions

 Data Analysis
Math Example--Linear Function Concepts--Linear Data Model: Example 2 Math Example--Linear Function Concepts--Linear Data Model: Example 2 Math Example--Linear Function Concepts--Linear Data Model: Example 2

Topic

Linear Functions

 Data Analysis
Math Example--Linear Function Concepts--Linear Data Model: Example 1 Math Example--Linear Function Concepts--Linear Data Model: Example 1 Math Example--Linear Function Concepts--Linear Data Model: Example 1

Topic

Linear Functions

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Data Plot--Example 4 Math Example--Charts, Graphs, and Plots--Data Plot--Example 4 Math Example--Charts, Graphs, and Plots-- Data Plot--Example 4

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis
Math Example--Charts, Graphs, and Plots-- Data Plot--Example 3 Math Example--Charts, Graphs, and Plots--Data Plot--Example 3 Math Example--Charts, Graphs, and Plots-- Data Plot--Example 3

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

 Data Analysis