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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.
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