Crickets are known for their chirping sounds. But did you know that the number of times a cricket chirps per minute is an indicator of the outside temperature? In fact, the relationship between cricket chirps and the outside temperature can be modeled by a linear function. In this module, students will explore the function that can be used to determine the outside temperature based on the number of times a cricket chirps per minute.

First, students watch a video that describes the chirp-temperature phenomenon. Students are then walked through the process of developing the linear model. They look at inputs and outputs, determine the dependent and independent variables, and explore the linear function with a graphing calculator activity.

In this module, students explore a physics-based application of linear functions: Hooke's Law. By exploring the properties of springs, a simple linear model is developed. Students then explore applications of Hooke's Law, from weight scales to bungee cords.

Students investigate the properties of springs and identify two variables: the displacement of the spring (extension or compression) and the amount of force involved. From this students identify the independent variable and dependent variable. A graphing calculator activity (using the Desmos graphing tool) allows students to explore the value of k in the function F = kx.

In algebra, the topic of functions is extremely important. But what is a function? In this module students will learn what a function is and how to represent it. They'll explore data tables, graphs, and equations. Plus, they'll see the connection from one to the other.

Students will learn about function machines, and we draw an analogy to actual machines. A short video shows how a flat disk of aluminum (the input) is turned into a soda can (the output) by a series of machines that stretch and shape the disk into the can.

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What do drones have to do with domain and range? In this module, students learn about an emerging high-tech delivery system and use that as a vehicle for learning about a function's domain and range. Students will graph data from a table and explore domain and range, and then they graph a continuous function. This highly engaging module will give students a solid understanding of algebraic functions, specifically domain and range.

In this module students will learn the following concepts:

• Finding the domain and range for a set of coordinates that define a function
• Finding the domain and range of a continuous function that doesn’t extend to infinity
• Finding the domain and range of a continuous function that extends to infinity

This is the Teacher's Guide that accompanies Algebra Applications: Functions and Relations.

To view the full video: https://www.media4math.com/library/algebra-applications-functions-and-relations

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations

This is the Teacher's Guide that accompanies Algebra Applications: Linear Functions.

To view the full video: https://www.media4math.com/library/video-algebra-applications-linear-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-linear-functions

This is the Teacher's Guide that accompanies Algebra Applications: Quadratic Functions.

To view the full video: https://www.media4math.com/library/algebra-applications-quadratic-functions

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-quadratic-functions

This is the Teacher's Guide that accompanies Algebra Nspirations: Functions and Relations.

To view the full video: https://www.media4math.com/library/algebra-nspirations-functions-and-relations

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-functions-and-relations

This is the Teacher's Guide that accompanies Algebra Nspirations: Quadratic Functions.

The Algebra Nspirations: Quadratic Functions video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-quadratic-functions

Video: Algebra Nspirations: Quadratic Functions: https://www.media4math.com/library/algebra-nspirations-quadratic-functions

This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-quadratic-functions

An overview of the key topics to be covered in the video.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

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? 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

The definition of the term "Vertical Line Test."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

This slide show provides 8 examples of quadratic functions in factored form and analyzes their graphs. Note: The download is a PPT file.

This slide show provides 18 examples of quadratic functions in standard form and analyzes their graphs. Note: The download is a PPT file.

This slide show provides 8 examples of quadratic functions in vertex form and analyzes their graphs. Note: The download is a PPT file.

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. Note: The download is the Teacher's Guide.

In this drag-and-drop game, match the linear function in standard form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. Note: The download is the Teacher's Guide.

This set of tutorials provides 40 examples of absolute value functions in tabular and graph form. NOTE: The download is a PPT file.

Almost everyone has an intuitive understanding that exponential growth means rapid growth. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students’ intuitive notions, explores exponential notation, and analyzes properties of exponential function graphs, with the help of TI-Nspire features such as sliders and graph transformations. Using exponential functions to model finance applications and a Newton’s law of cooling problem further help students build a solid foundation for these fundamental algebraic concepts. Concepts explored: functions, exponents, exponential functions Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Exponents and Exponential Functions]: https://www.media4math.com/library/algebra-nspirations-exponents-and-exponential-functions

This video includes a Video Transcript [Video Transcript: Algebra Nspirations: Exponents and Exponential Functions]: https://www.media4math.com/library/video-transcript-algebra-nspirations-exponents-and-exponential-functions

Functions are relationships between quantities that change. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video explores the definition of a function, its vocabulary and notations, and distinguishes the concept of function from a general relation. Multiple representations of functions are provided using the TI-Nspire, while dynamic visuals and scenarios put them into real-world contexts. Concepts explored: functions, relations, equations, quadratic functions, linear functions, multiple representations Note: The download for this resources is the Promethean Flipchart.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations

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

To view the video: Algebra Nspirations: Functions and Relations: https://www.media4math.com/library/algebra-nspirations-functions-and-relations

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

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-linear-functions

To view the video: Algebra Nspirations: Linear Functions: https://www.media4math.com/library/algebra-nspirations-linear-functions

This video begins with the historical invention of logarithms that forever changed the world of computation—until the advent of calculators more than 300 years later. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it proceeds to derive the properties of logs, examine logarithmic functions and graphs, and finally explore the well-known Richter logarithmic scale. Concepts explored: functions and inverse functions, logarithms, exponential functions, logarithmic functions Note: The download for this resources is the Promethean Flipchart.

To access the full video: [Algebra Nspirations: Logarithms and Logarithmic Functions]: https://www.media4math.com/library/algebra-nspirations-logarithms-and-logarithmic-functions

This video includes a Video Transcript [Algebra Nspirations: Logarithms and Logarithmic Functions]: https://www.media4math.com/library/video-transcript-algebra-nspirations-logarithms-and-logarithmic-functions

In this program, the TI-Nspire is used to explore the nature of quadratic functions. Examples ranging from space travel and projectile motion provide real-world examples for discovering algebraic concepts. All examples are solved graphically. The teacher’s guide provides all keystrokes shown in the video, as well as providing support for TI-84 users. Algebra teachers looking to integrate hand-held technology and visual media into their instruction will benefit greatly from this series. Concepts explored: Quadratic functions and equations, standard form, graphing quadratic equations, solving quadratic equations graphically Note: The download for this resource is the Promethean Flipchart.

The Algebra Nspirations: Quadratic Functions video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-nspirations-quadratic-functions

Video: Algebra Nspirations: Quadratic Functions: https://www.media4math.com/library/algebra-nspirations-quadratic-functions

Video: Algebra Nspirations: Quadratic Functions includes a Teacher's Guide: https://www.media4math.com/library/algebra-nspirations-teachers-guide-quadratic-functions

After briefly reviewing the concept of inverse variation, this video explores Boyle’s law, a real world example of an inversely proportional relationship between pressure and volume of a gas. Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, it goes on to examine similarities and differences among rational functions and numbers. Finally, it takes a look at rational functions graphs and ends with a delightful example merging Euclidean and analytic geometry, thanks to the TI-Nspire technology. Concepts explored: functions, rational expressions, rational functions, asymptotes Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Rational Functions and Expressions]: https://media4math.com/library/algebra-nspirations-rational-functions-and-expressions

A video transcript is available for this video [Video Transcript: Algebra Nspirations: Rational Functions and Expressions]: https://www.media4math.com/library/video-transcript-algebra-nspirations-rational-functions-and-expressions

In this set of Quizlet flash cards test understanding of composite functions.

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

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources