Title  Description  Thumbnail Image 

Applications of Linear Functions: Speed and Acceleration 
DescriptionWhen 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. 

Applications of Linear Functions: Circumference vs. Diameter 
DescriptionAs 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. 

What Is a Function? 
DescriptionIn 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. 

Accident Investigation 
DescriptionWhen a driver slams the brakes on a car, skid marks are created on the road. Accident investigators can measure the length of the skid marks to estimate the speed of the car. This involves using a quadratic function. 

What Is Function Notation? 
DescriptionCheetahs can accelerate up to 75 mph and can easily outpace a gazelle. But gazelles have adapted to keep cheetahs at bay long enough to tire them out. We can analyze this phenomenon mathematically through the use of some basic concepts involving functions. 

Algebra Application: Accident Investigation 
In this Algebra Application, students develop a quadratic mathematical model for calculating the speed of a car based on the length of its skid marks. Using this model, students investigate the corresponding parabola. The math topics covered include: Mathematical modeling 

Algebra Application: Fireworks Displays 
In this Algebra Application, students develop a quadratic mathematical model based for the path of fireworks. Using this model, students investigate the properties of parabolas, including orientation, yintercept, and vertex. The math topics covered include: 

VIDEO: Algebra Nspirations: Functions and Relations, Segment 3 
In this Investigation we look at functions. This video is Segment 3 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 4, click the following link: 

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 2: Cycling 
DescriptionThe 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. 

Closed Captioned Video: Algebra Applications: Linear Functions 
DescriptionIn 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. 

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

Closed Captioned Video: Algebra Applications: Linear Functions, Segment 4: Exercise 
DescriptionExercise 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. 

Closed Captioned Video: Linear Functions: Negative Slope, Negative yIntercept 
DescriptionVideo 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. 

Closed Captioned Video: Linear Functions: Negative Slope, Positive yIntercept 
DescriptionVideo Tutorial: Linear Functions: Negative Slope, Positive yIntercept. In this video tutorial, students 

Closed Captioned Video: Linear Functions: Negative Slope, Zero yIntercept 
DescriptionVideo Tutorial: Linear Functions: Negative Slope, Zero yIntercept. In this video tutorial, students 

Closed Captioned Video: Linear Functions: Positive Slope, Negative yIntercept 
DescriptionVideo 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. 

Closed Captioned Video: Linear Functions: Positive Slope, Positive yIntercept 
DescriptionVideo 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. 

Closed Captioned Video: Linear Functions: Positive Slope, Zero yIntercept 
DescriptionVideo 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. 

DefinitionFunctions and Relations ConceptsAbsolute Value Function 
DefinitionFunctions and Relations ConceptsAbsolute Value FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsComposite Function 
DefinitionFunctions and Relations ConceptsComposite FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsConic Sections 
DefinitionFunctions and Relations ConceptsConic SectionsThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsConstant Function 
DefinitionFunctions and Relations ConceptsConstant FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsContinuous Function 
DefinitionFunctions and Relations ConceptsContinuous FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsDecreasing Function 
DefinitionFunctions and Relations ConceptsDecreasing FunctionThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 

DefinitionFunctions and Relations ConceptsDependent Variable 
DefinitionFunctions and Relations ConceptsDependent VariableThis is a collection of definitions related to the topic of functions and relations. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. 