ALEX Classroom Resource

  

Pi & The Fibonacci Sequence

  Classroom Resource Information  

Title:

 Pi & The Fibonacci Sequence

URL:

 https://aptv.pbslearningmedia.org/resource/nvmm-math-pifibonacci/pi-the-fibonacci-sequence/

Content Source:

 PBS
Type: Audio/Video

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. 

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 9-12
Geometry with Data Analysis
29. Find patterns and relationships in figures including lines, triangles, quadrilaterals, and circles, using technology and other tools.

a. Construct figures, using technology and other tools, in order to make and test conjectures about their properties.

b. Identify different sets of properties necessary to define and construct figures.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • Discover patterns and relationships in figures using technology and other tools.
  • Construct figures, using technology and other tools, to make and test conjectures about their properties.
  • Identify different properties necessary to define and construct figures
Teacher 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.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
GEO.29.1: Construct a copy of a segment, angle, bisection of a segment, bisection of an angle, perpendicular line, perpendicular bisector of a line segment, and parallel lines.
GEO.29.2: Describe a specific construction process.
GEO.29.3: Demonstrate the proper use of a geometric construction tools.

Prior Knowledge Skills:
  • Demonstrate how to use a protractor to draw an angle.
  • Construct segments of a given length using a ruler.
  • Recognize attributes of geometric shapes.
Tags: fibbonacci numbers, patterns, pi, spirals
License Type: Public Domain
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments

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.

  This resource provided by:  
Author: Kristy Lacks
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