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Tessalations Geometry:     more detail

1. Index.html
Strand 1 geometry - Week 2. Date, Instructional Focus, Assignments Activities. Tuesday,January 21, tessalations - Using Translations, Complete Worksheet 8.
http://fc.fms.k12.nm.us/~dwilliams/
##### Lesson Plans for Mr. Williams 2002-2003
4th Quarter Piedra Vista High School
Strand 1 - Geometry
March 31-April 4
April 7-11

April 14-18

April 21-25
...
May 26-30
Block 2 - Precalculus II March 31-April 4
April 7-11

April 14-18

April 21-25
...
May 26-30
Strand 2 - AP Statistics March 31-April 4
April 7-11
April 14-18 April 21-25 ... May 26-30 Block 3 - AP Calculus II March 31-April 4 April 7-11 April 14-18 April 21-25 ... 3rd Quarter Archive
##### Strand 1 - Geometry - Week 1
Date Instructional Focus Monday, March 31 Sec. 9.6 - Solving Right Triangles Sec. 9.6 # 1-15 Tuesday, April 1 Review - Sec. 9.4-9.6 Sec. 9.6 # 16-20,23-25,28,30,38-40 Wednesday, April 2 Quiz 9.2 (Sec. 9.4-9.6) Quiz 9.2 (Sec. 9.4-9.6) Chapter Review # 1-21 Thursday, April 3 Review - Right Triangle Trigonometry Study for the test. Friday, April 4 Test Chapter 9 - Right Triangle Trigonometry Test Chapter 9 - Right Triangle Trigonometry Back to top
##### Strand 1 - Geometry - Week 2
Date Instructional Focus Monday, April 7 Chapter 10 - Circles Sec. 10.1 - Tangents to Circles Sec. 10.1 # 5-8,10,14,18-26,28,36,37,46,47 Tuesday

2. Schedule For Mat 112 For Two Days Each Week
April 28. Motion geometry and tessalations. G. Patterns, Relations, Functions. E. geometry
http://www.umpi.maine.edu/~kimball/112x2scd.htm
 Schedule Plan For Principles of Mathematics II for Two Meetings Each Week Week of Topics Maine Learning Results Content Standards Text Sections January 11 Rational Numbers as Fractions A. Numbers and Number Sense B. Computation K. Mathematical Communication 5.1 Rational Numbers as Fractions 5.2 Addition and Subtraction of Rational Numbers January 18 (NO Class on Monday) Rational Numbers as Fractions A. Numbers and Number Sense B. Computation K. Mathematical Communication 5.3 Multiplication and Division of Rational Numbers January 25 Rational Numbers as Decimals A. Numbers and Number Sense B. Computation K. Mathematical Communication 6.1 Exponents and Decimals 6.2 Operations on Decimals February 1 EXAM on February 3 Rational Numbers as Decimals J. Mathematichal Reasoning K. Mathematical Communication 6.3 Real Numbers February 8 Applicationis of Mathematics A. Numbers and Number Sense B. Computation E. Geometry H. Algebra concepts J. Mathematical Reasoning K. Mathematical Communication 7.1 Algebraic Thinking 7.2 Word Problems 7.3 Lines in a Cartesian Coordinate System

3. Jennifer Horst, Cybertour Of History Of Mathematics
is the theorem? tessalations. Tessellations is a very fun way of learning geometry. Tessellations is something that
http://www.montana.edu/cybertour/math/kto5/horstj
History of Geometry
##### by Jennifer Horst
In this cybertour you will be exploring activities relating to the history of geometry and other activities relating to geometry.
##### OBJECTIVES AND OUTCOMES
objectives for this cybertour on Geometry:
• To realize that Geometry is important To see how mathematicians developed ideas for Geometry To be able to recognize different shapes To be able to use a geometric theorem To see that we use Geometry in real life situations
• ##### POLYGONS
Answer the joke on the web page, then click on activities, there you will find a few additional links. Then click on polygons to start the lesson.

A polygon is a closed plane figure made up of line segments. We see polygons everywhere. On streets, in your classroom and even at home.
• Draw three different polygons. In your own words, what is a polygon? Tell me the name of some polygons we use everyday? Which of these shapes are polygons? Which of these shapes are not polygons?
• ##### PYTHAGORAS

4. MathEd 5031: Geometry Web Sites
geometry resources teaching tools, software, books, journals, comics, etc. SiteName Tantalizing tessalations Address http//mathcentral.uregina.ca/RR
http://www.stolaf.edu/people/wallace/Courses/UGeom/Reviews/web.html
##### Geometry Web Sites MathEd 5031, Spring 2000
Site Name: Investigating Patterns: Symmetry and Tessellations
Reviewed By: Sample review on 1/20/00
This site contains a collection of 30 activities coordinated with the book of the same name. Includes links that explore symmetry in flags, quilting, inversions, Escher-type tessellations and even Donald Duck in Mathemagic Land. Some of the activities/links are more accessible and/or useful than others, but it looks like a wonderful resource for teaching symmetry.
Site Name: The Geometry Web Page
Reviewed By: TinaM on 1/20/00
This site contains 16 activities that use varying manipulatives, including tangrams, geoboards, and space cubes. Each activity has different problems within them. There are also Test Previews included on the website. These previews consist of review questions of the different activities supplied on the page. There are also a couple of downloadable geometric games on the website, as well. Some of the activities on the web page deal with tessellations, symmetry, and polygons. I think this is a really good website. It offers different ideas for presenting various topics in geometry.
Site Name: Interactive Mathematics Online (IMO)

5. Math Forum: Tessellation Tutorials By Suzanne Alejandre
LOGO Turtle geometry tessalations OCT 20 You may want to study the following packages saw and saw2 . Type the package in and understand how it works, and fool around with it a lot. to saw a repeat 3 repeat 3 fd a lt 60
http://forum.swarthmore.edu/sum95/suzanne/tess.intro.html
A Math Forum Web Unit
##### Suzanne Alejandre
About This Project Teacher Comments Student Samples ... What Is a Tiling? - View the MidPoW (March 11 - 25, 2002): Tiling Triangles Where's the Math? Historical and Geographical Connections Regular Tessellations: Teacher Lesson Plan Student Page Tutorials: Claris Works: Color Tessellations Geometer's Sketchpad: Color Tessellations HyperStudio: Color Tessellations PC Paintbrush or Paint: Color Tessellations
LogoWriter: Programmed Tessellations Other Tessellation Links and Related Sites Software and JAVA Applets Activities Index - Interactivate Project
Links to several activities involving tessellations.

6. Geometry For Educators - Mathematics - Geometry
Resources ranging from lesson plans to tessalations. geometry From About. A collection of resources to help the geometry educator from Deb Russell theorems of geometry. geometry in Motion. Show your students
zfp=-1 About Education Secondary School Educators Search in this topic on About on the Web in Products Web Hosting
##### Secondary School Educators
with Melissa Kelly
Your Guide to one of hundreds of sites Home Articles Forums ... Help zmhp('style="color:#fff"') Subjects BUYER'S GUIDE Before You Buy
Top Picks

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Geometry
Guide picks
A collection of resources to help the geometry educator from Deb Russell the Mathematics About Guide. A great resource for students to refer to when trying to learn the basic postulates and theorems of geometry. Geometry in Motion Show your students geometric diagrams in motion to enhance their understanding of the shapes and how they interact with one another. The Geometry Section Find formulas and sample problems for your geometry class, with topics ranging from conmmon shapes to coodinate geometry. Email this page! Sponsored Links English Teacher Curriculum Guides for Sale Curriculum guides at \$29.95, for grades 7-12. Curriculum materials for composition and literature, including novels and plays.

7. Geometry Strand Resources - 6 - 8
Demo Colorful tessalations, Very colorful and loads fast. Origami geometry, Findillustrated instructions describing how to fold some of origami designs.
http://www.pen.k12.va.us/Div/Stafford/Instruction/mathweb/Str4_6_8.html
Stafford County Public Schools MathWeb
##### 6 - 8 Strand
Site Title/URL Address Site Description Lesson Plan Ideas Connections Dynamic View of Pythagorean Theorem Dynamic site that loads quickly and has great color and visuals.
When you see a "next" button keep clicking and enjoy the results. Excellent tool for teacher demonstration to illustrate the properties of a right triangle.
Discovering the Pythagorean Theorem
Leads students through the development of the Pythagorean theorem and then provides practice examples. To use the interactive feature a Java-Applet must be used. Good outline and information for a classroom presentation.
Good for students who need additional reviews the material presented in class.
Has information on the history of Pythagoras. Social Studies Dynamic Angles Dynamic site that loads quickly and has great color and visuals.
When you see a "next" button keep clicking and enjoy the results.

8. Untitled
Valerie's Page of geometry Topics PUZZLES AND FUN ABOUT THE AUTHOR SYMMETRY AND tessalations AREA AND VOLUME. MY FAVORITE TEACHER SITE.
http://www.pen.k12.va.us/Div/Stafford/TLT/0902/cohort7/wick/gweb.htm
 Valerie's Page of Geometry Topics PUZZLES AND FUN ABOUT THE AUTHOR... SYMMETRY AND TESSALATIONS AREA AND VOLUME MY FAVORITE TEACHER SITE

geometry is a favorite of many of my students. This is especially true when we begin the unit on tessalations. A tessalation is any repeating pattern of interlocking shapes. tessalations are also called tilings. His work with tessalations is not only well known but is extremely unique. geometry also lends itself to many other of
 MATH LINKS Have you heard of Pascal's Triangle. Very interesting... GEOMETRY Geometry is a favorite of many of my students. This is especially true when we begin the unit on tessalations. A tessalation is any repeating pattern of interlocking shapes. Tessalations are also called tilings. Tilings however, usually refers to patterns consisting of only polygons. M. C. Escher lived at the turn of the century. He considered himself a graphic artist. His work with tessalations is not only well known but is extremely unique. Geometry also lends itself to many other of areas of art as well as that of tessellations. This includes the wonderful symmetry shown in a kaleidoscope and the beauty of colored polyhedras MATH GAMES Do you know fractions? Try you skill with Fresh Baked Fractions Number Puzzles galore! Something here for everyone. HOME Questions? EMAIL me. ASSIGNMENTS PROJECTS

10. TESSALATIONS IN INTERIOR DESIGN
Resources. 1. Glencoe geometry textbook (Texas edition). 2. tessalationswebsites. Evaluation. 25 pointsÂ—One page paper discussing tessalations.
http://www.nederland.k12.tx.us/nisd/afisher/TESSALATIONS IN INTERIOR DESIGN.htm

11. Berry '95: Geometry And The Internet
I am looking forward to our newly adopted Merrill geometry textbook are just fun tosee and think about but many are composite transformations and tessalations.
http://mathforum.org/berry95/resources.html
##### Our Favorite Resources
[Each day participants will be asked to send messages to the whole group here describing something or giving feedback about an activity, and one person will summarize it and post it on the geometry.institutes newsgroup.]
##### Summarized by Pat Champion
One of the first day activities for our Geometry and the Internet Workshop was to note some of our favorite resources as teachers. Throughout the week we will be sharing our ideas. Watch for them. The comments on our favorite resources follow: As a young and promising geometry teacher my resources range from magazines to veteran teachers. I mostly utilize math surveys at the beginning of the year with 10 classes in the math department to get ideas for projects, group activities, field trips, and math week activities. I currently have been using the Key Curriculum Press Textbook with my Geometry Advance students. It is a wonderful book. See everyone supper time.
Lenisera Barnesforum1@drew.berry.edu I'm hoping my favorite resource will be the new book we just adopted. It's the UCSMP Geometry. Anybody out there familiar with it?
Cathy Bordersforum2 I am Pam Champion and am attending a workshop at Berry College with Annie, Steve, and David. I have been teaching Geometry at Houston County High School in Warner Robins, Georgia for 3 years. I have also taught a lot of PreAlgebra and a sprinkling of Algebra II, CP and honors level.

12. Favorite Resources By Pam Champion
forum11 I am looking forward to our newly adopted Merrill geometry textbook fun tosee and think about but many are composite transformations and tessalations.
http://mathforum.org/epigone/geometry-institutes/16/v01520d00ac14cdca0e72@[168.3
##### Favorite resources by Pam Champion
post a message on a new topic

Back to messages on this topic
Back to geometry-institutes
Subject: Favorite resources Author: forum3@drew.berry.edu Date: The Math Forum

13. 6. Geometry
learners in groups brainstorm reallife applications of geometry parallel lines(eg of increasingly complex figures (eg, Islamic art, MC Escher tessalations).
http://www.c2t2.ca/aaap/math6.htm
##### 6. Geometry
Geometry is traditionally presented later in the Intermediate course after algebra. However, some adult learners would benefit from an introduction to math using a spatial orientation.
Provincially Articulated Learning Outcomes
It is expected that learners will be able to:
a. name and draw points, lines, rays, segments, and angles
b. name and draw triangles, quadrilaterals, other common polygons and circles
c. construct with a compass and straight edge: i) the perpendicular bisector of a line segment
ii) the bisector of an angle
a copy of an angle
iii) parallel lines
d. classify and distinguish among acute, right, obtuse, straight, reflex, complementary and supplementary and vertically opposite angles
e. describe the angle relationships created when parallel lines are cut by a transversal f. measure angles with a protractor g. classify triangles according to sides and angles h. identify similar and congruent figures Suggested Instructional Strategies
• Have learners in groups brainstorm real-life applications of geometry:
• parallel lines (e.g., railway tracks, mitre box, construction industry, sewing)

14. 7 Spatial Sense & Geometry
tessalations, 4.4, 4.7, 4.11, 4.16, Totally Tessalated, Students will learn thehistory of teselations and create their own. 6th Grade Spatial Sense geometry.
http://192.107.108.56/portfolios/w/warren_c/final/!7ssg.htm
 Curriculum/Lesson Standards Online Resources Activities Prerequisites Measurement Area Perimeter Math-Kitecture Students can create a floor plan of their classroom using geometric principles Students should be able to follow formulas. Tessalations Totally Tessalated Students will learn the history of teselations and create their own. Measurement/ Graphing Rendezvous With an Asteroid Collaborative Students will conduct experiments that will explore the relationship between falling objects and their impact. This unit usually takes six weeks and includes several hands on activities. Be sure to look at project requirements before starting. Coordinate Plane/ Graphing The Stowaway Adventure Real Time Data Students will "stowaway" on an actual ship, plot its voyage and predict its destination. Students should be familiar with latitude and longitude. Home

15. Mathematics
MathsNet Interactive geometry Dynamic geometry site or Mathematician - This siteis a thinkquest of Escher's life, works, a tutorial on tessalations and links
http://www.hillsborough.k12.nj.us/hhs/tempx/mathematics1.htm
 Hillsborough High School Library Media Center Mathematics Ask Dr. Math - This site, maintained by Swarthmore College, answers math questions for students in K-12 and college. There are archives of information as well as archives of frequently asked questions arranged by grade level. If you don't find the answer to your question in the archives you can Ask Dr. Math, and he will respond. Biographies of Women Mathematicians - Alphabetical and chronologically arranged lists of women achievers in mathematics. Biographical essays and photos are included and links to other sites on similar topics. Dave's Short Trig Course - An introduction to trigonometry. Fractal Microscope - This site features an interactive tool designed to explore Mandelbrot sets and other fractal patterns. The Geometry Center - Although this site is closed there are archives of excellent geometry resources. It supports K-12 math education. Hall of Great Mathematicians - Alphabetical list of mathematicians with biographies, photos and links to other information. Interactive Algebra - Interactive tutorials for Algebra I students. Randomly generated problems for equations and inequalities, factoring and graphing. An answer and explanation of how to do the problem is available for each exercise.

16. Geometry TA
Interior and exterior angles. tessalations. Quadrilaterals. Parallelogram properties. Thm)/231.geometry Worksheet 8.2 (word problems using Py. Thm)/231.
 Geometry TA Unit/Topic/Sub Topic Sol # Correlation with Glencoe Resources Principal Text: Glencoe Geometry Time (days) Points, Lines and Planes Coordinate plane Definitions and naming Distance formula Midpoint formula Construction Rays and Angles Classifying Measuring Pairs Perpendicular lines/right angles Constructions G.2, G.3, G.11 G.2 G.2 G.11 G.3 G.11 Chapter 1 Algebra 1 Review for Geometry students (omit factoring/systems)/231 TRB P1.1 and E1.1 coordinate plane Sketchpad Lab: Introduction and points, lines and planes/231 Sketchpad Lab: Angles Lessons 1.6-1.9/231 Angle Puzzle Wkst/231 Old TRB EP 3.3 and EP 3.1-3.4/231 Edutest Skill Drills Key: TRB=Glencoe Geometry Teachers Resource Books 1993 R=Reteaching P=Practice E=Enrichment Old TRB=Merrill Geometry Teachers Resource Book 1988 Copies of resources are in Geometry notebook in room 231 Conditional Sentences Converse, inverse, and contrapositive Symbolic notation Venn diagram syllogism Reasoning and Proof Algebraic properties G.1 G.1 G.1 G.1 G.1 G.1 Chapter 2 Conditional Sentence, logic symbolism, syllogism, and Venn diagram wkst/231 Edutest Skill Drills Parts of Formal Proof worksheet/231 from old Merrill book Old TRB 1.6: nonsense proofs

17. Geometry CT
Interior and exterior angles. tessalations. Quadrilaterals. Parallelogram properties. TRBR12.6 and P12.6. Old TRB 9.7 (trig)/236. geometry Worksheet (trig)/236.
 Geometry CT Unit/Topic/Sub Topic Sol # Correlation with M/L Resources and Principal Text: Geometry Explorations and Applications from McDougal Littell Time (days) Points, Lines and Planes Coordinate plane Definitions and naming Distance formula Midpoint formula Construction Rays and Angles Classifying Measuring Pairs Perpendicular lines/right angles Constructions G.2, G.3, G.11 G.2 G.2 G.11 G.3 G.11 1.4, Ch. 1 review Algebra 1 Review for CT Geometry students/231 TRB P1.1 and E1.1 coordinate plane Sketchpad Lab: Introduction and points, lines and planes/231 Sketchpad Lab: Angles Lessons 1.6-1.9/231 Angle Puzzle Wkst/231 Old TRB EP 3.3 and EP 3.1-3.4/231 Edutest Skill Drills Key: TRB=Glencoe Geometry Teachers Resource Books 1993 R=Reteaching P=Practice E=Enrichment Old TRB=Merrill Geometry Teachers Resource Book 1988 Copies of resources are in Geometry notebook in 231 Conditional Sentences Converse, inverse, and contrapositive Symbolic notation Venn diagram syllogism Reasoning and Proof Algebraic properties Segment proof Angle proof G.1

18. Oundle School ICT Training Centre: Mathematics Sites
Compiled by the iCT Training Centre, Oundle School, Peterborough.Category Science Math Education Directories...... middle schools) by Cynthia Lanius, Rice University (Houston) Mathematics and Music(Northern Illinois University) Grotesque geometry (tessalations, from Andrew
 www.argonet.co.uk/oundlesch/mlink.html A selection of MATHEMATICS Web Sites Compiled by iCT Training Centre , Oundle School, Peterborough, UK in association with the residential TSM Conference at Oundle School (Technology for Secondary/College Mathematics) , 9-11 July 2003 CONTENTS 1. Mathematical Associations and Magazines 2. Classroom Resources 3. Mathematical Entertainment 4. Probability and Statistics, incl Data Sets ... 5. Other Lists of Useful Links RELATED SITES Some USEFUL FILES for mathematics teaching Autograph, Word, CSV Data, Powerpoint, Viewlets; Excel and GSP files Resources for teaching coordinate-geometry, probability and statistics SUPPLIERS and CREATORS of Mathematical Software Links to all the major software houses, demo downloads and resources International CONFERENCES and EVENTS calendar Links to interesting mathematics education meetings coming up in the UK and abroad. Sun Clock (from Mapmaker.com, UK - illustrated here on March 21st)

19. MATC25H Homepage
Euclidean geometrychapters 1,3,5; symmetry groups Hyperbolic geometry chapters6,7; symmetry groups Elliptic geometry chapter 10 tessalations chapter 8
http://www.math.utsc.utoronto.ca/c25/
 Instructor: John Scherk office: S633 phone: 416-287-7269 office hours: Monday 12:30-1:30, Thursday 12-1 email: scherk@scar.utoronto.ca Text: A Survey of Classical and Modern Geometries A. Baragar References: Introduction to Geometry H.S.M. Coxeter Notes on Geometry E. Rees Euclidean and Non-Euclidean Geometries M. Greenberg Science Awakening B.L. van der Waerden Geometry M. Berger Pictures of the tunnel on Samos Map from the German archeological expedition Polyhedra models Last year's final exam Outline: Euclidean geometry:chapters 1,3,5; symmetry groups Hyperbolic geometry: chapters 6,7; symmetry groups Elliptic geometry: chapter 10 Tessalations: chapter 8, crystal groups Lectures: Mondays 10-12 in H308 Thursday 1-2 in B516 Marking Scheme: Assignments: 60% Final Exam: 40% AccessAbility Services: Students with a disability/health consideration are encouraged to approach Tina Doyle and/or the AccessAbility Services Office @ 416-287-7560. They can also drop by the office, S302B, inside the Resource Centre. The Coordinator is available by appointment to assess specific needs, provide referrals and arrange appropriate accommodations. This page is maintained by Lucile Lo Last modified May 03, 2001

20. Space And Shape - Web Guide From Learn.co.uk
Numerous geometry topics of varying degrees of difficulty are covered Totally tessellatedFascinating collection of tessalations, includes details about the
http://www.learn.co.uk/guardianarchive/webguides/spaceshape.htm
 Home Web guide Mathematics Space and shape Other units: Problem solving Data management Algebra Trigonometry ... GCSE revision Space and shape Centroid of a triangle This page uses a Java applet to illustrate the centroid of a triangle with respect to medians, intersecting ratios and centre of gravity. Useful for geometry or Advanced Level mechanics. Challenge of the 7 cups Great site based around a series of puzzles with an ancient civilisation theme. Puzzles are challenging, but within the reach of most 13-16 year olds. Good site for group work. A Common Book of Pi A site giving background information on Pi. The history of Pi with methods and formulas for estimating the number is covered. A modern algorithm is looked at, together with the geometrical basis of the number. The Derivation of Pi Detailed lesson plans for the practical introduction of Pi, and its relationship with the radius and circumference of the circle.

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