Illustrative Math Alignment: Grade 8 Unit 9

In this drag-and-drop game, match the linear equation with the equation of a parallel line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match the linear equation with the equation of a perpendicular line through a given point. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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In this drag-and-drop game, match f(x) with f(a) for a given value of a. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format.

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Use this math game to review linear functions in slope-intercept form.

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This Teacher's Guide provides an overview of the 32 worked-out examples that show how to find the equation of a line parallel or perpendicular to a given line and through a given point.

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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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7/25/11. In this issue we look at the elite group of baseball players that have hit 3000 or more hits in their careers. The most recent is Derek Jeter, and based on the records of previous 3000+ hitters we explore whether he will make it to the Baseball Hall of Fame.

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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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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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August 2013. In this issue we look at Diana Nyad's remarkable swim from Cuba to Florida. It becomes an opportunity to explore Average Speed.

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The relationship between slope and grade in cycling is explored. Go on a tour of Italy through the mountains of Tuscany and apply students' understanding of slope. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-2-cycling

This video includes a Video Transcript: [Algebra Applications: Linear Functions, Segment 2: Cycling]: https://www.media4math.com/library/video-transcript-algebra-applications-linear-functions-segment-2-cycling

Exercise needs to become a consistent part of everyone's lifestyle. In particular, aerobic exercises, which vigorously exerts the heart, is an important form of exercise. The maximum heart rate from aerobic exercise is a linear function dependent on age. Students are asked to develop a data table based on the function. Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Applications: Linear Functions, Segment 4: Exercise]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-4-exercise

The potential for oil exploration in the controversial Alaska National Wildlife Refuge (ANWR) sets the scene for this problem. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. How could new oil fields like ANWR help in breaking our dependence on foreign oil? Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Applications: Linear Functions, Segment 3: Oil Exploration]: https://www.media4math.com/library/video-algebra-applications-linear-functions-segment-3-oil-exploration

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.

In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations Note: The download for this resources is the Promethean Flipchart.

This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-linear-functions

In this set of Quizlet flash cards test understanding of the point-slope form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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In this set of Quizlet flash cards test understanding of the slope-intercept form.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

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This is part of a collection of self-scoring interactive math quizzes on a variety of topics.

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Quiz Library

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In this TI-84 tutorial we show how to graph linear functions and trace their coordinates. Note: The download is a PPT file.

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.

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

Linear Expressions, Equations, and Functions

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.

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

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.

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

This is the transcript for the video of same title. Video contents: In this program, internationally acclaimed mathematics educator Dr. Monica Neagoy, explores the nature of linear functions through the use TI graphing calculators. Examples ranging from air travel, construction, engineering, and space travel provide real-world examples for discovering algebraic concepts. All examples are solved algebraically and then reinforced through the use of the TI-Nspire. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Standard form, slope-intercept form, point-slope form, solving linear equations

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear models for objects moving at a constant speed.

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

This is the transcript for the video of same title. Video contents: In this Investigation we look at a linear regression for carbon dioxide emission data.

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

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

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

This is the transcript for the TI-Nspire Mini-Tutorial entitled, A Probability Simulation of Tossing a Coin 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, 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.

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

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

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 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