![VIDEO: Algebra Nspirations: Rational Functions and Expressions, Segment 3](/sites/default/files/library_asset/images/AlgNsp--RationalFunctions03.jpg)
Display Title
VIDEO: Algebra Nspirations: Rational Functions, 3
Display Title
VIDEO: Algebra Nspirations: Rational Functions, 3
Topic
Rational Functions
Description
This part examines graphs of rational functions like y = a/x, including their asymptotic behavior and properties. Key terms include hyperbola, vertical asymptote, and horizontal asymptote. TI-Nspire is used to analyze effects of parameter changes, transitions between quadrants, and graphical intersections. Applications include real-world scenarios and mathematical exploration of function behaviors.
This video provides an in-depth exploration of the concept of rational functions and their applications. By understanding the mathematical intricacies and observing real-world examples, students can connect abstract concepts to practical scenarios.
Relevance to Topic: Rational functions are foundational in advanced mathematics, appearing in areas like calculus, physics, and engineering. This video bridges theoretical knowledge with graphical and analytical insights to solidify understanding.
Teacher’s Script: "Before we start, think about how we divide tasks into smaller chunks—much like rational expressions simplify complex equations. This video dives into these principles, focusing on graphs of rational functions like y = a/x, including their asymptotic behavior and properties. Let’s see how these ideas play out with real-world applications."
For a complete collection of videos related to Rational Functions click on this link: Algebra Applications: Rational Functions Collection.
Common Core Standards | CCSS.MATH.CONTENT.HSF.IF.C.7.D, CCSS.MATH.CONTENT.7.NS.A.3 |
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Duration | 8.40 minutes |
Grade Range | 6 - 9 |
Curriculum Nodes |
Algebra • Rational Expressions and Functions • Rational Expressions • Rational Functions and Equations |
Copyright Year | 2011 |
Keywords | algebra, rational expressions, rational functions, asymptote |