Title  Description  Thumbnail Image 

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:
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.


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:
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 rapidresponse 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. 

Halloween Math Activities 
Turn the Halloween season into an opportunity to do some math activities! In this module, you'll find a clever collection of arithmetic, algebra, and geometry activities.


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 chirptemperature 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 physicsbased 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. 

Applications of Linear Functions: Speed and Acceleration 
When a rocket is launched into space, it starts from rest and within minutes reaches speeds of tens of thousands kilometers per hour. In other words, the rocket accelerates. In this module, students apply their knowledge of linear functions to explore the speed vs. time function. In the process they learn about acceleration, as well as the properties of this linear function. Students first explore the equation for calculating acceleration. Then they use that to develop the speed vs. time linear function. This module can be completed in about 20 minutes. Make sure that students understand the basics of linear functions in slopeintercept form. 

Applications of Linear Functions: Temperature Conversion 
Temperature is one of the most important measurements that we deal with on a daily basis. Weather, climate, food preparation, health, and other phenomena involve some type of temperature measure. The two most common units of temperature measure are Fahrenheit and Celsius. There is a linear function that allows you to convert from one unit to another. In this module, you'll learn about this linear function. In fact, students will learn about this function and its inverse. The module starts with an analysis of CelsiustoFahrenheit data. They look at the functional relationship between the variables and develop a linear model using the Desmos graphing calculator. They analyze the properties of this linear function and look at its graph. Next, students analyze FahrenheittoCelsius data. They also develop a linear function model using the Desmos graphing calculator. Finally, they compare the graphs of the first function and its inverse to identify properties of functions and their inverses. 

Applications of Linear Functions: Circumference vs. Diameter 
As the size of a circle changes, so does the size of the diameter and that of the circumference. In fact, there is a linear relationship between these two measures. This relationship can be modeled with a linear function. In this module students will study this linear function and examine its properties, including the fact that the slope of this function is π itself. This is a handson module in which students will measure the diameters and circumferences of a number of different containers. This data gathering will lead to graphing the data. From that students develop a linear model using the Desmos graphing tool. Students will see that the relationship between circumference and diameter has to do with π. In fact, the slope of the linear function is π itself. For the handson part of the lesson, make sure you have all the materials: Different size cylindrical containers (bottles, cups, etc.), string, marker, and a ruler (preferably a caliper). Collect all the student data and use the embedded Desmos graphing tool to graph the data and explore the linear function. The module concludes with an overview video about the number π. 

What Are Domain and Range? 
What do drones have to do with domain and range? In this module, students learn about an emerging hightech 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:


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/videoalgebraapplicationslinearfunctions This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebraapplicationslinearfunctions 

Algebra Nspirations Teacher's Guide: Linear Functions 
This is the Teacher's Guide that accompanies Algebra Nspirations: Linear Functions. This video, Algebra Nspirations: Linear Functions, includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebranspirationslinearfunctions This video includes a Video Transcript: https://www.media4math.com/library/videotranscriptalgebranspirationslinearfunctions This video includes a Promethean Flipchart: https://www.media4math.com/library/prometheanflipchartalgebranspirationslinearfunctions 

Brief Review: Linear Equations in Standard Form 
In this presentation we show how to convert a linear equation in Standard Form to a linear function in Slope Intercept Form. We go over the reason for such a conversion and applications that give rise to these equations. Note: The download is a PPT. 

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling 
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. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Algebra Applications: Linear Functions 
In this episode of Algebra Applications, three realworld explorations of linear functions are developed: Sports. The relationship between slope and grade in cycling is explored. Oil Exploration. A linear regression of oil consumption data over the past 25 years reveals an interesting pattern. Health. 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. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

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

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

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 4: Exercise 
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. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Negative Slope, Negative yIntercept 
Video Tutorial: Linear Functions: Negative Slope, Negative yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a negative slope and a negative yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Negative Slope, Positive yIntercept 
Video Tutorial: Linear Functions: Negative Slope, Positive yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a negative slope and a positive yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Negative Slope, Zero yIntercept 
Video Tutorial: Linear Functions: Negative Slope, Zero yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a negative slope and a zero yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Positive Slope, Negative yIntercept 
Video Tutorial: Linear Functions: Positive Slope, Negative yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a positive slope and a negative yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Positive Slope, Positive yIntercept 
Video Tutorial: Linear Functions: Positive Slope, Positive yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a positive slope and a positive yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

Closed Captioned Video: Linear Functions: Positive Slope, Zero yIntercept 
Video Tutorial: Linear Functions: Positive Slope, Zero yIntercept. In this video tutorial, students learn the basics of linear functions in slopeintercept form. In particular, look at the case of a linear function with a positive slope and a zero yintercept. 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 VideosTo see the complete collection of Closed Captioned Videos, click on this Link 

INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Linear Functions 
In this Slide Show, linear functions are graphed. This presentation requires the use of the TINspire iPad App. Note: the download is a PPT. 

Math Example: Linear Functions in Tabular and Graph Form: Example 01 
Linear Functions in Tabular and Graph Form: Example 1. Linear function in slopeintercept form with these characteristics: Positive slope > 1, positive yintercept. Note: The download is a JPG file. Related ResourcesTo see the complete collection of Math Examples on this topic, click on this link: https://bit.ly/2Zq5fQ4 