Pi & The Fibonacci Sequence

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

Explore intriguing appearances of pi and the Fibonacci sequence outside of mathematics in this video from NOVA: The Great Math Mystery. Although well-known in mathematics, the numbers of the Fibonacci sequence are also frequently found in the natural world, such as in the number of petals on flowers and the number of spirals of a pinecone. Pi is commonly recognized as a number that relates a circle's circumference to its diameter but it also appears in many other phenomena. For example, pi is related to the probability that a dropped needle will cut a series of parallel lines; it also can be used to calculate the length of a meandering river. 

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.29

Find patterns and relationships in figures including lines, triangles, quadrilaterals, and circles, using technology and other tools.

UP:MA19.GDA.29

Vocabulary

  • Conjectures
  • Construct
  • Congruent
  • Compass
  • Straightedge

Knowledge

Students know:
  • Use technology and other tools to discover patterns and relationships in figures.
  • Use patterns. relationships and properties to construct figures.

Understanding

Students understand that:
  • Many of the constructions build on the relationships among the objects and are justified by the properties used during the construction. Technology can be used as a means to explain the properties and definitions by developing procedures to carry out the construction.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
https://aptv.pbslearningmedia.org/resource/nvmm-math-pifibonacci/pi-the-fibonac…

Comments or Notes

This resource contains the following activities:

Pi & The Fibonacci Sequence - Extension Activity

Pi & The Fibonacci Sequence - Background Essay

Pi & The Fibonacci Sequence - Discussion Questions

Click the links on the right side of the page to access the activities.

Approved Date

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