Illustrative Math Alignment: Grade 6 Unit 8

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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November 2014. In this issue of Math in the News we examine the ebola virus. We develop a matematical model for viral growth to show why it is such a dangerous virus.

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July 2015. In this issue of Math in the News we analyze the amazing box office success of the recently released Jurassic World. This provides an excellent application of data analysis and linear equations.

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July 2016. In this issue of Math in the News we look at Muhammad Ali's boxing record and compare his record to other boxers.

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August 2016. In this issue of Math in the News calculate average speed to various vacation destinations when traveling by car.

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November 2016. In this issue of Math in the News, we look at the history of the Olympics.

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November 2016. In this issue of Math in the News, we look at the history of Thanksgiving, as well as the cost of preparing the historically relevant meal.

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4/11/11. In this issue we look at the high price of gasoline and investigate whether a hybrid car makes more economic sense. We look at various statistics to make a determination.

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4/18/11. In this issue we look at income taxes. We analyze who pays what proportion of income taxes based on income level.

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5/30/11. In this issue we look at the subject of taxation of tobacco products. Many states are using such taxes to meet budget shortfalls. What are the unintended consequences of these taxes?

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6/20/11. In this issue we look at the possibility of an NFL strike and what the issues are that keep players and owners from coming to agreement.

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7/4/11. In this issue we look at box office receipts for blockbuster movies as well as flops. There is a characteristic curve that results for either type and we develop some regression models based on the data.

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7/11/11. In this issue we look at the underlying factors that make Texas such a powerhouse for employment. Using data from the Bureau of Labor Statistics and the Census Bureau, we dig into the numbers.

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8/8/11. In this issue we look at federal spending and the growth of such spending. Looking at data provided by the government, we calculate the annual rate of growth.

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8/15/11. In this issue we look at the specifics of the new NFL collective bargaining agreement. It provides an opportunity to apply data analysis and algebra skills.

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8/22/11. In this issue we look at the way in which the U.S. government borrows money. This involves an exploration of Treasury bonds and notes.

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9/5/11. In this issue we look at the financial state of the U.S. Postal Service to see why it is having such a difficult time staying in business.

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9/26/11. In this issue we look at the state of the euro and the economies in the Eurozone.

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10/10/11. In this issue we look at the Boston Red Sox and their improbable collapse in September. They were one out away from making the playoffs, but they ended their game and season in dramatic fashion.

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10/24/11. In this issue we pay tribute to the life and times of Steve Jobs. We also analyze financial data for Apple to see what a dramatic impact Jobs had.

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10/31/11. In this issue we look at TV ratings for the Fall 2011 lineup. Why do some series succeed and others fail after a few episodes?

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11/21/11. In this issue we look at the NBA labor dispute. Why is this labor dispute so different from the one for the NFL?

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12/19/11. In this issue we look at the steep drop in the price of NetFlix’s stock. We examine why it happened and make a prediction about the stock’s future.

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February 2012. In this issue of Math in the News, we analyze data on the price of gasoline.

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March 2012. In this issue of Math in the News we look at Peyton Manning's new contract with the Denver Broncos. Was this a good deal or not?

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April 2012. In this issue of Math in the News we look at the future of Research in Motion's Blackberry, in light of the rise of the iPhone and Android devices.

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September 2012. In this issue of Math in the News we look at the great Monarch butterfly migration.

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September 2012. In this issue we look at August 2012 unemployment statistics.

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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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Solve an interactive word search puzzle on the topic of Data Analysis.

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Solve an interactive word search puzzle on the topic of Data Analysis.

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Solve an interactive word search puzzle on the topic of Data Analysis.

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Solve an interactive word search puzzle on the topic of Data Analysis.

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Solve an interactive word search puzzle on the topic of Data Analysis.

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In this interactive, review seven commonly used data displays. Provides a quck review tool for a unit on data analysis. Note: the download is the Teacher's Guide.

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Topic

Data Analysis

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.

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.

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.

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.

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.

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.

This is part of a collection of video tutorials on the topic of Ratios and Proportions. This series includes a complete overview of ratios, equivalent ratios, rates, unit rates, and proportions. The following section will provide additional background information for the complete series of videos.

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items. The purpose of a ratio is find the relationship between two or more items in the collection.

Let's look at an example.