TEKS

These are the resources that support this TEKS Standard.

TEKS-8-5F

There are 62 resources.
Title Description Thumbnail Image Curriculum Topics

Applications of Linear Functions: Cricket Chirps

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.

Applications of Linear Functions: Hooke's Law

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.

What Is a Function?

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.

Want to learn more about our Subscription packages? Click here to learn more.

 

Linear Function Models

In this module students learn the properties of linear functions. They look at data sets, graphs of coordinates, and algebraic representations of functions. Then students go on a field trip to the US Mint to see how money is printed. From this they develop linear function models for calculating the number of bills printed, along with their dollar value.

Students begin by analyzing linear function data by identifying the common difference. The goal is to see the relationship among the common difference and the slope of the linear function.

Students use the Desmos graphing calculator to explore graphs of data and equations. Both types of linear functions are explored:

  • ax
  • mx b

Students then watch a video about the US mint and how currency is created. Students use the information in the video to develop two linear function models: one for calculating the number of bills produced for every sheet of printed bills, plus another for calculating the dollar value of the printed bills.

Note: Be sure students are familiar with the concept of slope and the basic definition of a function.

 

What Are Domain and Range?

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

Linear Functions: Distance vs. Time

In this module students apply their knowledge of linear functions to the context of distance vs. time graphs. They look at data sets, graphs of coordinates, and algebraic representations of distance vs. time functions. Then students go on a field trip to a Nascar race to see how timing at the pit stop has an impact on distance vs. time data.

Students begin by analyzing linear function data by identifying the common difference. The goal is to see the relationship among the common difference and the slope of the linear function.

Students use the Desmos graphing calculator to explore graphs of data and equations. Both types of linear functions are explored:

  • ax
  • mx b

The goal here is to connect the slope of the distance vs. time graph to the speed of the car. Students then explore the graphs of cars with different speeds and initial distances.

Students then watch a video about Nascar pit crews and learn about the rapid-response pit crews who change the tires on the race cars and how the timing of this affects the distance vs. time graph of the cars. Students use the information in the video to analyze linear function models for different pit crew times.

Note: Be sure students are familiar with the concept of slope and the basic definition of a linear function.

Throughout the lesson various assessment items are included, which are then scored. A teacher's guide includes a detailed description of all components of this lesson.

This lesson addresses the Grade 8 Common Core Standards but it can also be used in grades 9 and 10 for review purposes.

This lesson can be assigned to individual students or teams of students. The lesson can be completed in about 20 to 25 minutes. 

Algebra Applications Teacher's Guide: Functions and Relations

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

Applications of Functions and Relations

Algebra Applications Teacher's Guide: Functions and Relations

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

Applications of Functions and Relations

Algebra Applications Teacher's Guide: Linear Functions

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

Applications of Linear Functions

Algebra Applications Teacher's Guide: Linear Functions

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

Applications of Linear Functions

Algebra Applications Teacher's Guide: Quadratic 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

Applications of Quadratic Functions

Algebra Applications Teacher's Guide: Quadratic 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

Applications of Quadratic Functions

Algebra Nspirations Teacher's Guide: Functions and Relations

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

Applications of Functions and Relations

Algebra Nspirations Teacher's Guide: Functions and Relations

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

Applications of Functions and Relations

Algebra Nspirations Teacher's Guide: Quadratic Functions

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

Applications of Quadratic Functions

Algebra Nspirations Teacher's Guide: Quadratic Functions

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

Applications of Quadratic Functions

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction

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

AlgApps--LinearFunctions01.jpg Special Functions, Applications of Linear Functions

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 1: Introduction

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

AlgApps--LinearFunctions01.jpg Special Functions, Applications of Linear Functions

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

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

AlgApps--LinearFunctions03.jpg Special Functions, Applications of Linear Functions

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 3: Oil Exploration

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

AlgApps--LinearFunctions03.jpg Special Functions, Applications of Linear Functions

Definition--Function Table

The definition of the term "Function Table."

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

Definition--FunctionTable.jpg Relations and Functions

Definition--Vertical Line Test

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

Definition--VerticalLineTest.jpg Relations and Functions

INSTRUCTIONAL RESOURCE: Analyzing Graphs of Quadratic Functions in Factored Form

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

Quadratic Equations and Functions

INSTRUCTIONAL RESOURCE: Analyzing Graphs of Quadratic Functions in Factored Form

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

Quadratic Equations and Functions

INSTRUCTIONAL RESOURCE: Analyzing Graphs of Quadratic Functions in Standard Form

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

Quadratic Equations and Functions