Illustrative Math Alignment: Grade 8 Unit 6

Here are a number of PowerPoint presentations that focus on different applications of linear functions.

A set of resources for the TI-Nspire, TI-Nspire CX, and the Nspire App.

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The collection of definitions on the topic of Linear Functions from Media4Math is an invaluable resource for students and educators alike. This comprehensive set includes essential terms such as slope, y-intercept, linear function, and rate of change. Understanding these terms is crucial for mastering the concept of linear functions, which are foundational in algebra and essential for advanced mathematical studies.

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Data Analysis

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Data Analysis

In this application of arithmetic, students analyze the changing population of bison in the Americas. Using real-world data and applying key math concepts, students will do some sophisticated analysis using basic skills.  These are the key math concepts covered: Place value Skip counting Doubling Data analysis Given the wide disparity in the population of bison over several centuries, students will be analyzing data in the millions but using place value to gain a clear understanding of the numbers involved. Skip counting will be used to analyze changes to populations, including patterns than involve doubling. Students will be actively engaged with the subject matter and will develop a mathematical mindset around data. This is an excellent preparation for the data analysis developed in upper elementary and middle school.

In this TI Nspire tutorial, Spreadsheet and Graph windows are used to graph a multiseries scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

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Video Transcripts

In this TI Nspire tutorial, Spreadsheet and Graph windows are used to graph a scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

Related Resources

Video Transcripts

In this TI Nspire tutorial, Spreadsheet and Statistics windows are used to graph a scatterplot. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

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Video Transcripts

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. This Mini-Tutorial Video includes a worksheet. .

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. This Mini-Tutorial Video includes a worksheet. .

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Data Analysis

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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.

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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.

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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.

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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.

This video explores the mathematics behind Linear Functions, providing clear examples and engaging visuals to enhance understanding. It is an excellent resource for both introduction and reinforcement of key concepts.

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.

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.

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.

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. This Mini-Tutorial Video includes a worksheet. .

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. This Mini-Tutorial Video includes a worksheet. .

Related Resources

Video Transcripts

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 cheat sheet gathers together a number of resources on the topic of the slope formula. See the descriptions and links below. Each link takes you to a collection of resources around that topic. The middle column indicates the number of resources available and the third column takes you to page on Media4Math where those resources can be found.

Subscribers can download the PDF version of this cheat sheet.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

Topic

Linear Functions

Definition

A constant function is a linear function of the form f(x) = b, where b is a constant. The graph of a constant function is a horizontal line.

Description

Constant functions are a fundamental concept in linear functions. They represent scenarios where the output value remains unchanged, regardless of the input value. This is depicted graphically as a horizontal line, indicating that the function's rate of change is zero.

In real-world applications, constant functions can model situations where a quantity remains steady over time. For example, a flat fee service charge that does not vary with usage can be represented as a constant function.

Topic

Linear Functions

Definition

Converting from standard form to slope-intercept form involves rewriting a linear equation from the form Ax + By = C to the form y = mx + b, where m is the slope and b is the y-intercept.

Description

Converting linear equations from standard form to slope-intercept form is a key skill in algebra. This conversion allows for easier graphing and interpretation of the equation's slope and y-intercept.