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Illustrative Math-Media4Math Alignment

 

 

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.

Thumbnail Image Title Body Curriculum Nodes
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 10 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 11 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 12 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 13 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 1 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 1 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 1

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 2 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 2 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 2

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 3 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 3 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 3

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 4 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 4 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 4

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 5 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 5 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 5

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 6 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 6 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 6

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 7 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 7 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 7

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 8 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 8 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 8

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 9 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 9 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 9

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 10 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 10

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 11 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 11

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 12 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 12

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

 Subtraction Facts to 100 and Data Analysis
Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13 Math Example--Charts, Graphs, and Plots--Reading and Interpreting Scaled Graphs--Example 13 Math Example--Charts, Graphs, and Plots-- Reading and Interpreting Scaled Graphs--Example 13

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

 Subtraction Facts to 100 and Data Analysis
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 1 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1

In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 3 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3

In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 1 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 1

In this Investigation we explore uncertainty and randomness. This video is Segment 1 of a 4 segment series related to Data Analysis and Probability. Segments 1 and 2 are grouped together.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, 3 Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability, Segment 3

In this Investigation we look at real-world data involving endangered wolf populations. This video is Segment 3 of a 4 segment series related to Data Analysis and Probability. Segments 3 and 4 are grouped together.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability Closed Captioned Video: Algebra Nspirations: Data Analysis and Probability

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration Closed Captioned Video: Algebra Applications: Linear Functions, 3 Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

Linear Expressions, Equations, and Functions

Linear Exp 		Special Functions and Applications of Linear Functions
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage? Closed Captioned Video: Algebra Applications: Data Analysis, 4 Closed Captioned Video: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage?

Another factor in the mortgage crisis was the use of adjustable rate mortgages. Students run a number of scenarios to test adjustable rate mortgages, while also taking into account the state of the housing market during the time of the mortgage crisis.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage? Closed Captioned Video: Algebra Applications: Data Analysis, 3 Closed Captioned Video: Algebra Applications: Data Analysis, Segment 3: What Is a What is a Subprime Mortgage?

Having learned the general features of a mortgage, students learn the specifics of a subprime mortgage. With this comes the notion of a credit score, and with credit scores come the probabilities for a loan default. Students use the amortization table to run probability simulations to determine possible loan defaults on subprime mortgages.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage? Closed Captioned Video: Algebra Applications: Data Analysis, 2 Closed Captioned Video: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage?

The time value of money is at the basis of all loans. Students learn about the key factors that determine monthly mortgage payments and use the TI-Nspire to create an amortization table. This table is used throughout the rest of the program to explore different scenarios.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 2: Honey Production Closed Captioned Video: Algebra Applications: Variables and Equations, 2 Closed Captioned Video: Algebra Applications: Variables and Equations, Segment 2: Honey Production

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

 Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
Closed Captioned Video: Algebra Applications: Data Analysis Closed Captioned Video: Algebra Applications: Data Analysis Closed Captioned Video: Algebra Applications: Data Analysis

In this episode of Algebra Applications, students explore the dramatic events of 2008 related to the mortgage crisis. Brought about principally through mortgage defaults, the effect on the overall economy was severe. Yet, this situation offers an ideal case study for the exploration of key concepts in data analysis and probability. By exploring these questions students get a front row seat to the historical events of the world's largest economy.

 Data Analysis and Data Gathering
Closed Captioned Video: Algebra Applications: Data Analysis, Segment 1: Introduction Closed Captioned Video: Algebra Applications: Data Analysis, 1 Closed Captioned Video: Algebra Applications: Data Analysis, Segment 1: Introduction

In this introductory segment students learn about the mortage crisis of 2008. In the process they get a brief introduction to what a mortgage is.

 Data Analysis and Data Gathering
Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data Closed Captioned Video: Ratios and Rates: Rates from Data

Video Tutorial: Ratios and Rates: Rates from Data. In this video, we look at linear data sets that can be used to find the rate of change.

 Ratios and Rates
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 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 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-- 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 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 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
Definition--Statistics and Probability Concepts--Conditional Relative Frequency Definition--Statistics and Probability Concepts--Conditional Relative Frequency Conditional Relative Frequency

Topic

Statistics and Probability

Definition

Conditional relative frequency is the ratio of the frequency of a subset of data to the frequency of a condition.

Description

Conditional relative frequency is crucial in analyzing categorical data, helping to understand the distribution of data under specific conditions.

For example, the frequency of students who pass a test given they have attended all classes is a conditional relative frequency.

Understanding this concept helps students interpret data in surveys and experiments more accurately.

 Data Analysis
Definition--Statistics and Probability Concepts--Relative Frequency Table 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--Marginal Frequencies Definition--Statistics and Probability Concepts--Marginal Frequencies Marginal Frequencies

Topic

Statistics and Probability

Definition

Marginal frequencies are the totals of rows or columns in a contingency table, representing the sum of joint frequencies for each category.

Description

Marginal frequencies provide insight into the overall distribution of each variable in a dataset. They are crucial in fields like epidemiology, where understanding the marginal distribution of diseases can inform public health strategies. For students, comprehending marginal frequencies is essential for summarizing data and drawing conclusions about the prevalence of certain characteristics within a population.

 Data Analysis
Definition--Statistics and Probability Concepts--Joint Frequencies Definition--Statistics and Probability Concepts--Joint Frequencies Joint Frequencies

Topic

Statistics and Probability

Definition

Joint frequencies refer to the counts of occurrences for combinations of two categorical variables.

Description

In statistics, joint frequencies are used to analyze the relationship between two categorical variables, often displayed in a contingency table. This analysis is vital in fields such as market research, where understanding the joint distribution of consumer preferences can inform product development. For students, learning about joint frequencies is important for interpreting data from surveys and experiments, allowing them to explore relationships between variables effectively.

 Data Analysis
Math Clip Art--Statistics and Probability-- Statistical Variability--Image 9 Math Clip Art--Statistics and Probability-- Statistical Variability--9 Math Clip Art--Statistics and Probability-- Statistical Variability--9

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 and Probability-- Statistical Variability--Image 5 Math Clip Art--Statistics and Probability-- Statistical Variability--5 Math Clip Art--Statistics and Probability-- Statistical Variability--5

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 and Probability-- Statistical Variability--Image 6 Math Clip Art--Statistics and Probability-- Statistical Variability--6 Math Clip Art--Statistics and Probability-- Statistical Variability--6

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 and Probability-- Statistical Variability--Image 7 Math Clip Art--Statistics and Probability-- Statistical Variability--7 Math Clip Art--Statistics and Probability-- Statistical Variability--7

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 and Probability-- Statistical Variability--Image 8 Math Clip Art--Statistics and Probability-- Statistical Variability--8 Math Clip Art--Statistics and Probability-- Statistical Variability--8

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