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Lesson Plan

by Doreen Sandor 

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This WebQuest is for 4th - 6th graders and takes them on a step by step journey to discover and analyze the Fibonacci Sequence and the Golden Rectangle in nature, architecture, art, music and anatomy.   They will keep notes in an online Fibonacci Journal/Blog and participate in a final project using their Math measuring skills to test the Fibonacci Sequence and Golden Rectangle.   With Math classes taking place daily, the entire unit could take 4 -5 classes. 


Audience

  • Math or Geometry students in grades 4– 6
  • Staff Development for math/science

Teacher's Role

The teacher needs to be available to provide support while students are working through Webquest.   Some students may require Accommodations to meet their needs and/or satisfy their IEPs and/or 504s.  

Goals/Purpose

During four 45-minute music classes (over 2 weeks), the students, by completing all the components of a Webquest and lesson, will investigate and explore patterns in music, math, science and nature and apply this knowledge to a measuring (Math) project.   

In small groups, they will measure body parts and complete a table using Create a Graph online program to record, analyze and compare data.    Students will assess whether the measurement data they have gathered aligns with the .618 ratio to satisfy the "Golden Rectangle" theory that is related to the Fibonacci Sequence.   Students will present their graphs and data to support and defend their position. Students will also complete tasks to a Proficient (Level 3) level on the Webquest Rubric. 

Further:
1)   Students will access, generate, process, and transfer information using appropriate technologies. 
2) Students will recognize, use, and represent algebraically patterns, relations, and functions. 
3) Students will describe, extend, and make generalizations about geometric and numeric patterns. 
4) Students will recognize and analyze patterns in music, nature, science, and Math. 
5) Students will either work collaboratively as a whole group or within a smaller group through steps or procedures in the lesson. 
6) Students will accurately cite three sources used, in the desired format; 
7) Students will complete any writing portion of the assignment with only 1 error in capitalization or punctuation.
8) Students will save their work on the school server in a folder created by the teacher for that purpose. 
9) Students will be able to list some connections between mathematics and music. 
10) Students will describe the Fibonacci number pattern sequence, commonly called the Fibonacci Sequence, and explain some ways that it appears in music.

Assessment
Student knowledge and participation will be assessed by Fibonacci Blog entries, responses to other students blogs, and the completion of tasks throughout the Webquest and related Fibonacci PowerPoint Presentation.  The products will be assessed by a rubric, which will  be presented to the students prior to beginning the Fibonacci Unit.