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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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 part of a collection of videos from the Algebra Applications video series on the topic of Data 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.

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.

Related Resources

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.

Related Resources

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. .

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.

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.

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.

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.

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

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

Video Tutorial: Ratios and Rates: Rates from Data. In this video, we look at linear data sets that can be used to find the rate of change.

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.