Display Title

VIDEO: Geometry Applications: Coordinate Geometry, 3

VIDEO: Geometry Applications: Coordinate Geometry, 3

Topic

Coordinate Geometry

Description

Exploring polar coordinates, this segment connects the Guggenheim Museum’s spiral design to logarithmic spirals and Fibonacci sequences. Key concepts include radius, angle (theta), and polar equations. Applications include modeling natural patterns and architectural features using polar graphs.

Coordinate geometry forms a foundational aspect of mathematics, connecting algebra and geometry through a graphical representation. This video explores practical applications, enhancing understanding of mathematical relationships.

Teacher's Script:

Today, we’ll dive into an exciting topic that merges geometry and algebra through visual representation. Imagine plotting points, drawing lines, and discovering the connections between shapes and equations. The video we’ll watch will demonstrate these concepts using examples, making it easier to grasp how we use these ideas in real-world applications. Pay close attention to the methods used and think about how you might apply them to solve problems.

For a complete collection of videos related to Coordinate Geometry click on this link: Geometry Applications: Coordinate Geometry Collection.

Common Core Standards CCSS.MATH.CONTENT.HSG.MG.A.1, CCSS.MATH.CONTENT.HSG.MG.A.2, CCSS.MATH.CONTENT.HSG.MG.A.3
Duration 11.12 minutes
Grade Range 8 - 10
Curriculum Nodes Geometry
    • Coordinate Geometry
        • Applications of Coordinate Geometry
        • Coordinate Systems
Copyright Year 2010
Keywords geometry, coordinate geometry, applications of coordinate geometry, Guggenhein Museum, Fibonacci Sequence, spiral, polar coordinates