Illustrative Math Alignment: Grade 8 Unit 6

September 2012. In this issue of Math in the News we look at the Monarch Butterfly Migration with new data since our last investigation of it.

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September 2012. In this issue of Math in the News we look at the remarkable success of the Washington Nationals baseball team. In the process we look at the success of new baseball franchises and why this happens.

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October 2012. In this issue of Math in the News we look at Columbus' voyages. We make some calculations based on map data.

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October 2012. In this issue of Math in the News, we look at Halloween-related data. In particular, we look at statistics related to pumpkins.

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August 2013. In this issue we analyze why the movie the Lone Ranger is considered a box office flop, even though it has earned nearly $100 million. We analyze box office data.

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August 2013. In this issue we look at the University of Michigan Study on American driving habts. The results show that Americans are driving less. But why is this? We look at the data and draw some conclusion.

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September 2013. In this issue we take a second look at Blackberry's financial woes. This is a follow-up report from Issue 52, where we looked at the company's revenue problems. Here we examine its final fate.

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October 2013. In this issue we follow Peyton Manning's extraordinary season with the Denver Broncos. This is a follow-up from Issue 51. This is an excellent opportunity to look at different data graphs, including box-and-whisker plots, bar graphs, and tabular data.

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October 2013. In this issue we look at how America has grown from its formation as a country. We look at the increase in the number of states, the increase in the population, and the demographic factors that have become prominent in recent years. We look at data in tables and graphs.

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January 2014. In this issue of Math in the News we look at box office data from 2013. We look for patterns in the data and analyze the data using different data displays, including bar graphs, line graphs, scatterplot, and tables. This provides an excellent opportunity for data analysis.

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January 2014. In this issue of Math in the News we look at football statistics to examine who stands the best chance of winning Super Bowl XLVIII. This is an excellent opportunity for data analysis.

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February 2014. In this issue of Math in the News we look at economic data around Valentine's Day purchases. We look at data in tables and graphs and try to account for trends in the data.

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March 2014. In this issue of Math in the News we look at the Iditarod Race in Alaska. This gives us an opportunity to analyze data on average speed. We look at data in tables and line graphs and analyze the winning speeds over the history of the race.

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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. 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. Note: The download for this resources is the Promethean Flipchart.

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. Note: The download for this resources is the Promethean Flipchart.

To view the full video [Algebra Applications: Data Analysis, Segment 3: What is a Subprime Mortgage?]: https://www.media4math.com/library/algebra-applications-data-analysis-segment-3-what-what-subprime-mortgage

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 Note: The download for this resources is the Promethean Flipchart.

This is the transcript for the video of same title. Video contents: 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.

This is the transcript for the video of same title. Video contents: 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.

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the video of same title. Video contents: 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.

This is the transcript for the video of same title. Video contents: 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.

This is the transcript for the video of same title. Video contents: 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.

This is the transcript for the video of same title. Video contents: 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 TI-Nspire iPad Applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis

This is the transcript for the video of same title. Video contents: In this Investigation we explore uncertainty and randomness.

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This is the transcript for the video of same title. Video contents: In this Math Lab a hands-on probability activity involving coins is explored.

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This is the transcript that goes with the video segment entitled Video Tutorial: Ratios and Rates: Rates from Data.

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, A Probability Simulation of Rolling Two Dice Multiple Times (with Histogram).

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, A Probability Simulation of Tossing a Coin Multiple Times (with Bar Graph).

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, A Probability Simulation of Tossing Two Coins Multiple Times (with Bar Graph).

To see the complete collection of video transcriptsy, click on this link.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Creating a Random Number Table.

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Multiseries Scatterplot Using a Graphs and Geometry Window.

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Scatterplot Using a Graphs and Geometry Window.

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This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Scatterplot Using a Statistics Window.

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This video looks at the Line of Best Fit. A real-world data set is analyzed, from which a linear function in slope-intercept is derived. Students are shown how to find the line of best fit using a TI graphing calculator. Strategies for estimating the line of best fit are also explored.

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.

This video looks at x-y intercepts and their importance. Examples from linear and non-linear functions and relations are explored.

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.

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.

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.

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.

Topic

Linear Functions

Description

Uses linear regression to analyze US oil consumption trends, projecting future usage and potential impact of Alaskan oil production.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

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.

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.

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.

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.

In this TI-Nspire CX tutorial learn how graph data in a scatterplot using the graph window.

In this TI-Nspire CX tutorial learn how to perform a quadratic regression based on scatterplot data. Note: This video does not contain audio.

In this TI Nspire tutorialthe Spreadsheet and Statistics windows are used to create a probability simulation of tossing two dice. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Spreadsheet and Statistics windows are used to create a probability simulation of a coin toss. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Spreadsheet and Statistics windows are used to create a probability simulation of tossing two coins. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Spreadsheet window is used to create a random number table. This video supports the TI-Nspire Clickpad and Touchpad.