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Nature’s Geometry


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Keywords: Flip Video, Geometric shapes (concave polygon, convex polygon, equiangular polygon, equilateral polygon, regular polygon, triangle, acute triangle, equilateral triangle, isosceles triangle, obtuse triangle, right triangle, scalene triangle, quadrilateral
Subject(s): Art, Video, Social Skills, Technology, Autism, Early Learning, Dyslexia, Life Science, Special Needs, Writing, Animation, Music, Reading, Information Skills, Biology, Photography, Social Studies, English/Language Arts, Spelling, Grammar, Geometry, Science, Journalism, Drama, Math, Speech and Language, History
Grades K through 12
NETS-S Standard:
  • Creativity and Innovation
  • Communication and Collaboration
  • Research and Information Fluency
  • Critical Thinking, Problem Solving, and Decision Making
  • Digital Citizenship
  • Technology Operations and Concepts
View Full Text of Standards
School: Pinkston Middle School, Mountain Home, AR
Planned By: Lynn Kelsh
Original Author: Lynn Kelsh, Mountain Home
SCIENCE
1. Students will choose a geometric shape from a list of 2 and 3 dimensional shapes studied according to grade level frameworks and match that shape to a plant or animal’s physical/structural adaptation.
• concave polygon
• convex polygon
• equiangular polygon
• equilateral polygon
• regular polygon
• triangle
o acute triangle
o equilateral triangle
o isosceles triangle
o obtuse triangle
o right triangle
o scalene triangle
• quadrilateral
o parallelogram
 rhombus (equilateral parallelogram)
 rectangle
 square (regular quadrilateral)
o trapezoid or trapezium
• pentagon
o regular pentagon
• hexagon
• heptagon
• octagon
o regular octagon
• circle
• Bézier triangle:
• cylinder
• hyperplane
• möbius strip
• platonic solid
o dodecahedron
o hexahedron (cube)
o icosahedron
o octahedron
o tetrahedron
• torus(doughnut)
• quadric
o cone
o cylinder
o ellipsoid
 spheroid
• sphere
o hyperboloid
o paraboloid
o sphere


2. Students will investigate through magazines, books, and internet searches plant and/or animal adaptations which form geometric shapes. i.e. a Boxer dog’s face is a cube, a Periwinkle flower is a pentagon.
3. Students will brainstorm ideas about their geometric shape and possible animals and/or plants that possess that attribute.
4. Students will prepare a creative presentation using the Flip camera. The presentation may be partners, small group, or individuals who artistically and imaginatively (play, poem recitation, song, PowerPoint, rap, cards, picture books, scrap books, etc) share their discoveries of natural geometric shaped physical/structural adaptations.
5. Evaluation will be through a teacher observation and prepared rubric, student check list self evaluation, and peer survey evaluation.
Teacher rubric:
Student Name Topic title score X5=
4 3 2 1
Geometric design

Team has brainstormed their concept and has a clear picture of what they are trying to achieve. Each member can describe what they are trying to do and generally how his/her work will contribute to the final product. Team has Team has brainstormed their concept and has a fairly clear picture of what they are trying to achieve. Each member can describe what they are trying to do overall but has trouble describing how his/her work will contribute to the final product. Team has brainstormed their concept, but no clear focus has emerged for the team. Team members may describe the goals/final product differently. Team has spent little effort on brainstorming and refining a concept. Team members are unclear on the goals and how their contriubtions will help them reach the goal
Animal or plant adaptation group members developed questions about the assigned topic, consulted at least 3 reference sources, developed a position based on their sources, and correctly cited their sources. group members consulted at least 3 reference sources, developed a position based on their sources, and correctly cited their sources. group members consulted at least 2 reference sources, developed a position based on their sources, and correctly cited their sources. fewer than 2 sources or sources are incorrectly cited.
Presentation Script is complete and it is clear what each actor will say and do. Entries and exits are scripted as are important movements. Script is quite professional. Script is mostly complete. It is clear what each actor will say and do. Script is shows planning. Script has a few major flaws. It is not always clear what the actors are to say and do. Script shows an attempt at planning, but seems incomplete. There is no script. Actors are expected to invent what they say and do as they go along.
Teamwork Students meet and discuss regularly. All students contribute to the discussion and all are listened to respectfully. All team members contribute a fair share of the work. Students meet and discuss regularly. Most students contribute to the discussion and are listened to respectfully. All team members contribute a fair share of the work. A couple of team meetings are held. Most students contribute to the discussion and are listened to respectfully. All team members contribute a fair share of the work. Meetings are not held AND/OR some team members do not contribute a fair share of the work.

Student checklist
Student name hour Check list
Each member has the script,
Each member has the materials needed for the presentation
Plant or animal’s physical/ structural adaptation with the geometric shape clearly available
Geometric shape consistent and clear throughout the presentation
Speaking voices audible throughout the presentation
Presentation neat and legible
All words spelled correctly
All sentences same tense and properly constructed

Peer survey evaluation and self evaluation
Name of project:
Students presenting this project:

The geometric shape presented was

The plant or animal adaptation was

This presentation best used

The part I liked best was

Things I would do different for this presentation

6. These presentations will be made available during our school's Pasta Night where parents and community come to celebrate our students' accomplishments.
7. Lesson Set:
Essential Element:
Fluency
Vocabulary
Writing Development
Comprehension

Instructional Approach:
Independent Writing
Share Time
Journals
Read Aloud
Problem Solving
Classifying
Investigations
Interactive Writing
Small Group Assisted Learning
Research
Shared Reading
Shared Writing
Summarizing
Non-Linguistic Representation
Revising and Editing
Team Learning
Explorations
Inquiry Based Learning
Inquiry Based Experiments

Assessment:
Performance Assessment
Teacher Observation
Teacher Critique
Peer Critique
Oral Presentation
Visual Aids
Checklist
Student Surveys
Self-Assessment
Rubric
Portfolio

Guided Reading Focus-Lesson:
Author's Viewpoint
Characterization
Connections
Drawing Conclusions
Figurative Language
Main Idea
Making Generalizations
Making Inferences
Making Judgments
Open-Ended Strategies
Problem Solving
Reference Materials
Summarizing
Theme

9 High Yield Strategies:
Cooperative Learning
Nonlinguistic Representations
Set Objectives Provide Feedback
Reinforce Effort Provide Recognition

Guided Writing Focus-Lesson:
Adjectives
Authentic Writing
Content
Ideas
Informative Writing
Narrative Writing
Organization
Pre-Write Strategies
Sentence Fluency
Sentence Structure
Story Elements
Structure of Poetry
Structure of Non-Fiction
Subject/Verb Agreement
Supporting Details
Transitional Words
Voice
Writing for a Purpose
Authors Point of View
Audience
Multi-Step l Writing

Blooms Taxonomy:
1 Remembering
2 Understanding
3 Applying
4 Analyzing
5 Evaluating
6 Creating

Larry Bell Strategies:
UNRAAVEL Math


A+ Essentials:
Arts
Curriculum
Multiple Intelligences

Five E Strategies:
1 Engagement
2 Exploration
3 Explanation
4 Elaboration
5 Evaluation

Instructional Technology:
Audio Visual
Computer
Digital Camera
Internet
Keyboarding Device
Mini Laptop
Software-Database
Software-Desktop Publishing
Software-Document
Software-Presentation
Software-Production
VideoRecorder

Accommodation:
allowed movement
alternative assessment
alternative assignments
assistive technology
contract for learning
oral assessments
oral directions
organizational planner
peer tutoring
progress checklist
skill-level assigned tasks
small group assessment
small group instruction
special equipment
read aloud assessment
use of manipulatives
visual aids

Differentiation:
Content
Process
Environment

MarzanoInstructional Strategies:
Complex Cognitive Tasks
Cooperative Learning
Effort and Recognition
Nonlinguistic Representations
Practice
Setting Goals and Objectives:
Student Discussion - Chunking
Summarizing

Multiple Intelligences:
Linguistic
Visual - Spatial
Musical
Interpersonal
Intrapersonal
Logical - Mathematical
Bodily - Kinesthetic
Naturalist

Literacy Strategies:
Comprehension: Graphic Organizers
Writing: Journals
Writing: Letters
Writing: Graphic Organizers
Speaking: Roundtable
Speaking: Soap Box

Standards

K-8.6.Math.G.08.01
K-8.6.Math.G.08.05
K-8.6.Math.G.09.01
K-8.6.Math.G.09.02
K-8.6.Math.G.11.01
K-8.6.Science.LS.03.07
K-8.6.Science.NS.01.01
K-8.6.LanguageArts.OV.03.01
K-8.6.Language Arts.OV.03.03
K-8.6.Language Arts.OV.01.03
K-8.6.Language Arts.OV.01.04
K-8.6.Language Arts.OV.01.05
K-8.6.Language Arts.OV.01.07
K-8.6.Language Arts.OV.01.08
K-8.6.Language Arts.OV.01.09
K-8.6.Language Arts.W.07.05
K-8.6.Language Arts.W.07.04
K-8.6.Language Arts.W.05.02
K-8.6.Language Arts.W.05.04
K-8.6.Language Arts.W.05.05
K-8.6.Language Arts.W.05.08
K-8.6.Language Arts.W.05.10
K-8.6.Library Media.A.04.1
K-8.6.Library Media.A.05.1

K-8.6.Library Media.A.05.2

Comments
This is a culminating presentation following lessons in geometric shapes and plant and/or animal physical/ structural adaptations. These lesson plans may be adapted to any grade or ability level since the students select the venue of presentation.
Since this lesson plan is presented as natural (plant or animal adaptations), it does not take into account man-made structures. But, another cross curricular idea could include social studies and the use of building & architectural geometric shapes.
Cross-Curriculum Ideas
Math – Lesson Plan – Geometric Solids and Their Properties
SLE’s: K-8.6.Math.G.6.08.01, K-8.6.Math.G.6.09.01
K-8.6.Math.G6.11.01
Learning Objectives
Students will:
• Construct 3-dimensional figures from nets
• Draw nets for 3-dimensional figures
• Analyze characteristics and properties of 3-dimensional geometric shapes
• Use visualization, spatial reasoning, and geometric modeling to solve problems
• Use flip cameras to film presentation of geometric solids
Activity #1
Materials required:
Triangular prism, hexagonal prism, triangular pyramid, and hexagonal pyramid nets, cardboard, tape, scissors, and examples of 3-dimensional objects.
1. Introduce the lesson by having a ball, soda can, paper cone, box, etc. to discuss how 2-dimensional figures are different from 3-dimensional figures.
2. Tell students they will be making several 3-dimensional figures to present to the class.
3. Use nets as a pattern to cut out cardboard net – 1 net per group.
4. Fold the net and decide which face or faces to leave untapped for lid opening.
5. Tape faces together using the tabs.
6. Presentation to class of geometric solids – students will use the flip cam to film a 1-2 minute presentation of the geometric solids. Students may create a rap, a skit, a poem, a demonstration of putting the nets together, etc.
7. You may want students to share their presentation with lower grades.
Activity #2
Materials required:
Grid paper to cut and fold or polydron or geofix pieces
1. Students will be presented with the task of finding out how many different nets are possible for a cube.
2. Show students a sample of two nets, one will fold into a cube and one won’t. Discuss why.
3. Using polydron, geofix pieces, or grid paper, have students create as many different types of nets as possible and sketch them on paper.
4. To conclude, have students present their findings to the class and see if they were able to create all 11 nets.
Activity #3
Materials required:
Internet accessible computers, Exploring Geometric Solids activity sheet, and the Geometric Tool
1. Students will work with the Geometric Tool at http://illuminations.nctm.org to learn about geometric solids and their properties.
2. Students will count the faces, vertices, and edges of different geometric solids and fill in the geometric solids worksheet.
3. After computer work is finished students will be in groups of 3 to answer the following problems:
a. Find the sum of the number of faces and vertices. How does this compare to the number of edges?
b. Do you think this is some type of rule for other shapes?
4. You may wish to introduce Euler’s Formula.
Activity #4
Working through science, students will find a physical/structural adaptation of a plant or animal in a geometric pattern and relate it to the two or three dimensional figure in mathematics. They will then use that design to create a presentation (poem recitation, play, song, art forms, rap, PowerPoint, Microsoft - Photo Story 3, play, cards, picture books, scrap books…etc.) with the Flip camera


Language Arts -
Interactive Triangular Book Reports.
Students will read a book of choice to present to the class. The book report is written on a Story Tower to reflect the concepts taught in math. Use strips of tag board, 6x36 inches. The strips are divided into three equal parts plus a little tab so it can be folded and glued together giving you a triangle with three writing surfaces. Each folded strip of paper is part of the book. Begin with the title, author, and main characters. Then draw and write about the beginning, middle, and end of the book. The finished sections can be stacked in multiple variations. Classroom presentations recorded with a Flip camera to be used in critiquing the presentation and to persuade other students to read the book.
Social Studies –
Find and film geometric shapes in buildings, machines, and other man-made structures.
Follow-Up
Science – Match the physical/ structural adaptational geometric plant or animal shape to a behavioral adaptation and again express it artfully and imaginatively using the Flip camera
Materials: Mobile Labs, Video Cameras, Flash Memory Camcorders, Flip Video, DVD Camcorder, Digital Cameras, Wildlife, Point and Shoot, Projectors, Networked Projectors, Portable, Projector Screens, Digital Voice Recorders, Microphones, Electronics, Televisions, DVD/VCR Players, Art Tools, Video Tools, CDs and DVDs, Hard Drives, Printers, Camera/Video Accessories, Camera Bags, Flash/USB Drives, Tripods, Batteries, Memory Cards, Cables, Computer Accessories, Keyboards, Headsets, Bags and Cases, Ports and Hubs, LCD Monitors, Mice, English/Language Arts, Reading, Writing, Math, Elementary, Middle, High, Science, Social Studies, Early Learning, ESL, Office Suite, Word Processor, Podcasting, Keyboarding, Authoring and Publishing, Slideshow, Clip Art, Screen Capture, Animation, Music, Early Composition, Sound Libraries, Midi Instruments, Internet Services, Integrating Technology, Autism, Cause and Effect, Dyslexia, Speech and Language, Hardware Devices