Use the following Media4Math resources with this Illustrative Math lesson.
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Video Transcript: Algebra Nspirations: Functions and Relations, 2 | Video Transcript: Algebra Nspirations: Functions and Relations, Part 2
This is the transcript for the video of same title. Video contents: In this Investigation we look at functions. This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript LibraryTo see the complete collection of video transcriptsy, click on this link. |
Applications of Functions and Relations and Relations and Functions |
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Video Tutorial: Decreasing Functions | Video Tutorial: Decreasing Functions Learn the basics of decreasing functions. Graphical and algebraic representations of decreasing functions are shown, as well as examples of such functions. |
Relations and Functions |
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Video Tutorial: Identity Function | Video Tutorial: Identity Function
This video looks at the identity function. Students review the identity properties of addition and multiplication as a means of better understanding the identity function. |
Relations and Functions and Slope-Intercept Form |
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Video Tutorial: Increasing Functions | Video Tutorial: Increasing Functions Learn the basics of increasing functions. Graphical and algebraic representations of increasing functions are shown, as well as examples of such functions. |
Relations and Functions |
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Video Tutorial: Multiple Representations of Functions | Video Tutorial: Multiple Representations of Functions
This video looks at multiple representations of functions, including symbolic, tabular, and graphic. Examples of linear, quadratic, polynomial, and exponential functions are shown. |
Relations and Functions |
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VIDEO: Algebra Applications: Functions and Relations, 1 | VIDEO: Algebra Applications: Functions and Relations, 1
TopicFunctions and Relations |
Applications of Functions and Relations, Conic Sections and Relations and Functions |
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VIDEO: Algebra Applications: Functions and Relations, 2 | VIDEO: Algebra Applications: Functions and Relations, 2
TopicFunctions and Relations |
Applications of Functions and Relations, Conic Sections and Relations and Functions |
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VIDEO: Algebra Applications: Functions and Relations, 3 | VIDEO: Algebra Applications: Functions and Relations, 3
TopicFunctions and Relations DescriptionThis segment focuses on the circular orbit of the Orion capsule around Earth as it docks with the International Space Station. Key concepts include the circle as a conic section and its equation. Parametric equations with sine and cosine functions are introduced to model periodic motion. Applications involve understanding how the capsule maintains a stable orbit, completes periodic motion every 90 minutes, and prepares for the Mars journey. |
Applications of Functions and Relations, Conic Sections and Relations and Functions |
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VIDEO: Algebra Applications: Functions and Relations, 4 | VIDEO: Algebra Applications: Functions and Relations, 4
TopicFunctions and Relations DescriptionThis segment describes the elliptical paths of Earth and Mars around the sun and how the Orion capsule follows a transfer ellipse to reach Mars. Key concepts include ellipses as conic sections, their equations, eccentricity, and quadratic relations. Applications involve modeling planetary orbits and calculating orbital equations using data like eccentricity and semi-major axis values. The segment also explores graphing ellipses with tools like the TI-Nspire. |
Applications of Functions and Relations, Conic Sections and Relations and Functions |
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VIDEO: Algebra Nspirations: Functions and Relations, 1 | VIDEO: Algebra Nspirations: Functions and Relations, 1
TopicFunctions and Relations DescriptionThis section defines relations and functions, emphasizing domain, range, and dependent versus independent variables. Using examples like USB flash drive pricing, it illustrates tabular, graphical, and mapping representations. Key concepts include ordered pairs, Cartesian plane, and scatter plots. The TI-Nspire is utilized to model relationships and introduce functional analysis. |
Applications of Functions and Relations and Relations and Functions |
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VIDEO: Algebra Nspirations: Functions and Relations, 2 | VIDEO: Algebra Nspirations: Functions and Relations, 2
TopicFunctions and Relations DescriptionIn this Math Lab explore domain-to-range mappings for functions and relations. Relevance to the Topic: This video is an essential resource for understanding Functions and Relations. By exploring the concepts and examples in this video, students will gain insights into the practical applications and theoretical underpinnings of Functions and Relations. It builds a strong foundation for future learning. |
Applications of Functions and Relations, Conic Sections and Relations and Functions |
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VIDEO: Algebra Nspirations: Functions and Relations, 3 | VIDEO: Algebra Nspirations: Functions and Relations, 3
TopicFunctions and Relations DescriptionBuilding on the prior section, this video elaborates on function rules and notation, graphing diverse functions such as linear, quadratic, and step functions. Key terms include domain, range, and vertical line test. Applications highlight real-world uses like analyzing study hours and grades. Technology aids in demonstrating increasing and decreasing functions visually. |
Applications of Functions and Relations, Relations and Functions and Geometric Constructions with Circles |
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VIDEO: Algebra Nspirations: Functions and Relations, 4 | VIDEO: Algebra Nspirations: Functions and Relations, 4
TopicFunctions and Relations DescriptionIn this Math Lab use toothpicks to create unit squares and square arrays. Explore the functional relationship between length of the side of the square and the total number of toothpicks. |
Applications of Functions and Relations, Conic Sections and Relations and Functions |