Title | Description | Thumbnail Image | Curriculum Topics |
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## VIDEO: Algebra Applications: Functions and Relations |
##
In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function. This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations This video includes a Teacher's Guide: https://www.media4math.com/library/algebra-applications-teachers-guide-functions-and-relations |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Applications: Functions and Relations, Segment 1: Introduction. |
##
Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-1-introduction |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths. |
##
The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-2-parabolic-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-1 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Applications: Functions and Relations, Segment 3: Circular Paths. |
##
The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-3-circular-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-2 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths. |
##
The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses. This video includes a video transcript: https://www.media4math.com/library/video-transcript-algebra-applications-functions-and-relations-segment-4-elliptical-paths A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-space-travel-3 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Nspirations: Functions and Relations |
##
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. 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 This video includes a Promethean Flipchart: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-functions-and-relations |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 1 |
##
In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations. Segments 1 and 2 are grouped together. To access Functions and Relations, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-2 A Video Transcript for Functions and Relations, Segments 1 and 2 is available via the following link: |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 2 |
##
In this Math Lab we look at different mappings to define functions and relations. This video is Segment 1 of a 4 segment series related to Functions and Relations. Segments 1 and 2 are grouped together. To access Functions and Relations, Segment 1, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-1 A Video Transcript for Functions and Relations, Segments 1 and 2 is available via the following link: • https://www.media4math.com/library/video-transcript-algebra-nspirations-functions-and-relations-part-1 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## 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: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-4 A Video Transcript for Functions and Relations, Segments 3 and 4 is available via the following link: |
Applications of Functions and Relations, Conic Sections, Relations and Functions, Geometric Constructions with Circles | |

## VIDEO: Algebra Nspirations: Functions and Relations, Segment 4 |
##
In this Math Lab a hands-on toothpick activity is used to generate a non-linear function. This video is Segment 4 of a 4 segment series related to Functions and Relations. Segments 3 and 4 are grouped together. To access Functions and Relations, Segment 3, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-3 A Video Transcript for Functions and Relations, Segments 3 and 4 is available via the following link: |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Applications: Functions and Relations |
##
In this episode of Algebra Applications, students explore the following scenario: Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 1: Introduction |
##
Scientists use conic sections to map the trajectories of spacecraft in flight. The setting for this episode is a planned future flight to Mars. As the ship travels from Earth to Mars, parabolic, circular, and elliptical paths are explored. In the process students will learn the difference between a quadratic relation and a quadratic function. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 2: Parabolic Paths |
##
The liftoff and pre-orbital path of the rock is described by a parabola. Students explore the properties of parabolas from the standpoint of the parametric equations that describe the horizontal and vertical directions of motion for the rocket. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 3: Circular Paths |
##
The path of a rocket orbiting the Earth can be modeled with the equation of a circle. Students explore the quadratic relation and the parametric equations that can be used to model the path of a spacecraft orbiting Earth. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Applications: Functions and Relations, Segment 4: Elliptical Paths |
##
The planets orbiting the sun follow elliptical paths. In fact, the trajectory of a spacecraft traveling to Mars would also be elliptical. Students explore these various ellipses. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Nspirations: Functions and Relations |
##
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. A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned Video: Algebra Nspirations: Functions and Relations, Segment 1 |
##
In this Investigation we explore the definition of a Relation. This video is Segment 1 of a 4 segment series related to Functions and Relations. Segments 1 and 2 are grouped together. To access Functions and Relations, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-2 A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Closed Captioned 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: • https://www.media4math.com/library/algebra-nspirations-functions-and-relations-segment-4 A Video Transcript is available for this tutorial at this 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 |
Applications of Functions and Relations, Conic Sections, Relations and Functions | |

## Definition--Functions and Relations Concepts--Absolute Value Function |
##
This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Composite Function |
##
This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Conic Sections |
##
This is a collection of definitions related to the topic of functions and relatinos. This includes general definitions for functions and relations, as well as terms related to types of functions, visualization models, other related terms. Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Constant Function |
##
Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Continuous Function |
##
Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Decreasing Function |
##
Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions | |

## Definition--Functions and Relations Concepts--Dependent Variable |
##
Note: The download is a PNG file. ## Related Resources## To see the complete collection of Math Definitions on this topic, click on this
Link. |
Relations and Functions |