SnowflakeCurve > Snowflake Fractal Lesson Plan

 

Snowflake Curve

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Snowflake image by Wilson Bentley

Objectives

  • To develop an appreciation for complex structures in nature.
  • To observe patterns in nature in relationship to the Real World.
  • To use observation skills to assist in problem solving.
  • To show understanding of the concepts of spatial relationships, symmetry, reflections, congruency, and similarity by completing a snowflake fractal.

Procedure

snowpro

Students will need to have prior knowledge of fractals before beginning this lesson. The following link provides information and examples of fractals for students to develop this understanding of fractals.
http://mathforum.org/alejandre/workshops/fractal/fractal3.html
What is a Fractal can be found at this link

To gain specific information about the Koch Snowflake Fractal visit the following link http://math.rice.edu/~lanius/frac/koch.html
This site gives a visual representation of the Snowflake fractal development and ideas for doing the activity on paper with a triangle grid as an alternative lesson.

Student Procedures for this lesson are found in the Snowflake Curve pdf. Either print a copy for each student or send to them electronically so they will have it for referral.

Vocabulary Words
Fractal
Triangle
Pattern
Order
Fractions
Area
Perimeter
Bisect
Pattern
Measurement

Sunshine State Standards

Applied Technology for Grade Levels 3-5
Strand: Technology
Standard: Integrates academic and applied technology principles into the workplace.
AT.5.1.2.1
Creates a simple technology-based project applying math, science, social studies, and language arts skills.


AT.5.2.2.1
Solves problems by using appropriate technology and "just in time" learning (e.g. applies computer software to solve problems).

Mathematics for Grade Levels 3-5
Strand: Geometry and Spatial Sense
Standard: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
MA.C.1.2.1
Given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures.


MA.C.2.2.1
Understands the concepts of spatial relationships, symmetry, reflections, congruency, and similarity.


MA.C.2.2.2
Predicts, illustrates, and verifies which figures could result from a flip, slide, or turn of a given figure.

Visual Arts for Grade Levels 3-5
Strand: Skills and Techniques
Standard: The student understands and applies media, techniques, and processes.
VA.A.1.2.1
Uses and organizes two-dimensional and three-dimensional media, techniques, tools, and processes to produce works of art that are derived from personal experience, observation, or imagination.

Strand: Creation and Communication
Standard: The student creates and communicates a range of subject matter, symbols, and ideas using knowledge of structures and functions of visual arts.
VA.B.1.2.1
Understands that subject matter used to create unique works of art can come from personal experience, observation, imagination, and themes.

NETS Profiles for Technology Literate Students

Basic Operations and Concepts
Students are proficient in the use of technology.

Social, Ethical, and Human Issues
Students practice responsible use of technology systems, information, and software.

Students develop positive attitudes toward technology uses that support lifelong learning, collaboration, personal pursuits, and productivity.

Technology Productivity Tools
Students use technology tools to enhance learning, increase productivity, and promote creativity.

Materials

  • Computer
  • Internet Access
  • AppleWorks Paint (or another paint program)
  • Snowflake Curve pdf.

Alternatives/Extensions

  • See activities suggested at the Koch Snowflake Fractal website.
Return to: Student Activity Sheet