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
VIDEO: Algebra Applications: Data Analysis VIDEO: Algebra Applications: Data Analysis VIDEO: Algebra Applications: Data Analysis

Topic

Data Analysis

Data Analysis and Data Gathering
VIDEO: Algebra Applications: Data Analysis, Segment 1: Introduction VIDEO: Algebra Applications: Data Analysis, 1 VIDEO: Algebra Applications: Data Analysis, 1

Topic

Data Analysis

Description

This segment introduces the 2008 mortgage crisis, explaining how mortgage defaults caused widespread economic repercussions, including a recession. It outlines basic mortgage concepts such as loan amount, interest rate, and repayment periods. Key terms include mortgage, interest rate, and amortization. The segment sets the stage for exploring how specific mortgage types, like subprime loans, led to financial instability.

Data Analysis and Data Gathering
VIDEO: Algebra Applications: Data Analysis, Segment 2: What Is a Mortgage? VIDEO: Algebra Applications: Data Analysis, 2 VIDEO: Algebra Applications: Data Analysis, 2

Topic

Data Analysis

Description

The video defines a mortgage as a long-term loan used to purchase a home and explains its components: loan amount, interest rate, and payment periods. Through examples, it demonstrates how interest rates impact total loan costs. Key concepts include amortization, equity, and principal versus interest payments. Applications involve using financial calculators to analyze repayment schedules and equity growth, emphasizing the importance of interest rates.

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

Topic

Data Analysis

Description

This segment explains subprime mortgages, emphasizing how credit scores affect loan interest rates. It compares repayment scenarios for borrowers with different FICO scores, showing the financial challenges of subprime loans. Key terms include subprime mortgage, credit risk, and delinquency. The video uses simulations to illustrate the likelihood and impact of loan defaults, linking these trends to the mortgage crisis.

Data Analysis and Data Gathering
VIDEO: Algebra Applications: Data Analysis, Segment 4: What is an Adjustable Rate Mortgage? VIDEO: Algebra Applications: Data Analysis, 4 VIDEO: Algebra Applications: Data Analysis, 4

Topic

Data Analysis

Description

Adjustable-rate mortgages (ARMs) are discussed, focusing on their role in the 2008 crisis. It demonstrates how variable rates increase long-term costs and create financial risks. Concepts include loan balance, refinancing, and amortization. The video uses spreadsheets to show payment changes over time and their economic effects. Applications highlight real-world implications of rising interest rates and decreasing home values.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability VIDEO: Algebra Nspirations: Data Analysis and Probability VIDEO: Algebra Nspirations: Data Analysis and Probability

Topic

Data Analysis

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 1 VIDEO: Algebra Nspirations: Data Analysis and Probability, 1 VIDEO: Algebra Nspirations: Data Analysis and Probability, 1

Topic

Data Analysis

Description

This video introduces probability and statistics, differentiating between the two fields through historical context and practical applications. Concepts like the law of large numbers and randomness are explored using tools like the TI-Nspire. Key vocabulary includes probability, randomness, statistics, and law of large numbers. Applications include analyzing probabilities in real-world scenarios such as lightning strikes and coin flips.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 2 VIDEO: Algebra Nspirations: Data Analysis and Probability, 2 VIDEO: Algebra Nspirations: Data Analysis and Probability, 2

Topic

Data Analysis

Description

In this Math Lab video, students explore the probability distribution from tossing two coins.

This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore the probability distribution from tossing two coins.

The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 3 VIDEO: Algebra Nspirations: Data Analysis and Probability, 3 VIDEO: Algebra Nspirations: Data Analysis and Probability, 3

Topic

Data Analysis

Description

Building on Part 1, this video focuses on statistical representation and interpretation. Concepts include univariate and bivariate data, regression, and data visualization techniques like bar graphs and scatter plots. Applications include analyzing dog breeds and wolf population trends using data models. Key terms include univariate, bivariate, regression, and scatter plot.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 4 VIDEO: Algebra Nspirations: Data Analysis and Probability, 4 VIDEO: Algebra Nspirations: Data Analysis and Probability, 4

Topic

Data Analysis

Description

In this Math Lab video, students explore population data.

This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore population data.

The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis.

Data Analysis and Data Gathering
VideoTutorial--Ratios13Thumbnail.jpg Video Tutorial: Ratios, Video 13 Video Tutorial: Ratios, Video 13

Topic

Ratios

Description

This video demonstrates calculating rates from data sets, focusing on patterns like distance-time relationships and wages. Examples include determining car speeds, hourly wages, and unit costs of gasoline. Data tables are used to visualize and compute rates.

Ratios and Rates
VIDEO: Algebra Applications: Variables and Equations, Segment 2: Honey Production. VIDEO: Algebra Applications: Variables and Equations, 2 VIDEO: Algebra Applications: Variables and Equations, 2

Topic

Equations

Description

This segment explores the impact of colony collapse disorder on honey production using statistical data. It introduces box and whisker plots and the calculation of mean as statistical tools to analyze honey yields. Key vocabulary includes colony collapse disorder, box plot, and mean. Applications include modeling bee population declines and their broader ecological and agricultural implications.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Data Analysis and Probability VIDEO: Algebra Nspirations: Data Analysis and Probability VIDEO: Algebra Nspirations: Data Analysis and Probability

Topic

Data Analysis

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 1 VIDEO: Algebra Nspirations: Data Analysis and Probability, 1 VIDEO: Algebra Nspirations: Data Analysis and Probability, 1

Topic

Data Analysis

Description

This video introduces probability and statistics, differentiating between the two fields through historical context and practical applications. Concepts like the law of large numbers and randomness are explored using tools like the TI-Nspire. Key vocabulary includes probability, randomness, statistics, and law of large numbers. Applications include analyzing probabilities in real-world scenarios such as lightning strikes and coin flips.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 2 VIDEO: Algebra Nspirations: Data Analysis and Probability, 2 VIDEO: Algebra Nspirations: Data Analysis and Probability, 2

Topic

Data Analysis

Description

In this Math Lab video, students explore the probability distribution from tossing two coins.

This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore the probability distribution from tossing two coins.

The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 3 VIDEO: Algebra Nspirations: Data Analysis and Probability, 3 VIDEO: Algebra Nspirations: Data Analysis and Probability, 3

Topic

Data Analysis

Description

Building on Part 1, this video focuses on statistical representation and interpretation. Concepts include univariate and bivariate data, regression, and data visualization techniques like bar graphs and scatter plots. Applications include analyzing dog breeds and wolf population trends using data models. Key terms include univariate, bivariate, regression, and scatter plot.

Data Analysis and Data Gathering
VIDEO: Algebra Nspirations: Data Analysis and Probability, Segment 4 VIDEO: Algebra Nspirations: Data Analysis and Probability, 4 VIDEO: Algebra Nspirations: Data Analysis and Probability, 4

Topic

Data Analysis

Description

In this Math Lab video, students explore population data.

This video provides an in-depth look at Data Analysis by exploring real-world applications. It delves into in this math lab video, students explore population data.

The relevance of this video to the topic lies in its ability to connect theoretical concepts to practical scenarios. Students will gain insights into how these mathematical ideas are applied in data analysis.

Data Analysis and Data Gathering