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
Extractions: 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.
Objective List Subject geometry. Grade All Create tessalations using translations androtations and sketch. (PBA). 221205. Define point, line, and plane. http://www.desoto.k12.ms.us/curriculum/Objectives/Geometry.html
Extractions: Subject: Geometry Grade: All OBJECTIVE CODE OBJECTIVE Identify types of symmetry using point, line, and rotational symmnetry. (PBA) Draw examples of symmetry and symmetrical designs. (PBA) Recognize images using reflections, translations, rotations, and dilations. (PBA) Create tessalations using translations and rotations and sketch. (PBA) Define point, line, and plane. Define collinear, non-collinear, segment, ray, opposite ray, midpoint, and segment besector. Recognize symbols for lines, line segments, and rays. Name the parts of an angle: sides, vertex, interior, exterior. Classify angles as acute, right, obtuse, and straight. Classify vertical angles. Classify adjacent angles. Classify linear pairs of angles. Classify complementary angles. Classify supplementary angles. Find angle measures using vertical angles. Find angle measures using linear pairs and supplementary angles. Find angle measures using complementary angles. Find angle measures that are congruent. Find angle measures using angle addition. Find angle measures using angle bisectors.
Extractions: All lessons are offered in a video format viewable either with Windows Media Player or Quicktime Fractions w/ like denominators Fractions w/ unlike denominators Equations with fractions Decimals Decimal notation Rounding decimals Scientific notation Decimal equations Multiplying whole number by a decimal Multiplying 2 numbers with decimals Meaning of division Dividing by a decimal Lines Angles Measuring angles Classify triangles Sides of a triangle Polygons Quadrilaterals Integers The coordinate plane ( X, Y ) Graphing an equation Perimeter Metric system Area of a parallelogram Area of a triangle The value of Pi Area of a circle Area of irregular figures Moving into Algebra Rounding large numbers Exponents Order of operations Numerical patterns Writing mathematical expression Using equations Solving equations Multiplying by a whole number Multiplying by a fraction Divide by a whole number Dividing 2 fractions Equations w/ fractions The meaning of mean Reading graphs Probability Probability Making an organized list Solids Classifying solids Surface area Formula for surface area Surface area of a cylinder Volume 3 Dimensional figures Understanding Fractions Rules of divisibility Prime factorization Least common multiple Fractions Fractions in lowest terms Comparing fractions Ordering fractions Working with Percentages Ratios Writing equal ratios Rate Proportion Solving proportions Definition of a percent Finding percents
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
Extractions: 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.
Webquests Fractionsgreat! Jill Rice math page, Snap polygons. Floor Plan Design, ProjectInteractive**, geometry-polygons. Crab Races, tessalations, Reading and Language http://schoolweb.missouri.edu/kirksville.k12.mo.us/maloney/webquest.htm
Extractions: Science Biomes Earth Forces Ecosystems biome webquest geo-mysteries environment epa.gov biomesfield trips ... Food Chain-make your own Rocks and Minerals Other Fun Sites Matter rocks slide show Cave matter Rock Hound ... Bats Adventure SPACE UNIT brainpop Space Quiz Moon phases constellations Funbrain ... Space jeopardy Human Body/Nutrition Online body tour body thinkquest intro Online Heart exploration Skeletal system ... Survivor Body Challenge Math Sites Geometry Math stories cool math 4 kids pentominoes problem of week ... Probability-Math Goodies Reading and Language Arts Japanese folk tales mystery thinkquest poetry writing Japanese Christmas story ... Virtual Kimono w riter's window Grandpa Tucker poetry Mamamedia-Japan,U.K. readers Theater ... Test Prep -good site Writing Ideas- generator Find IT-I Spy Unscramble Words -vocabulary and spelling Hershey's website-games Black History Scavenger Hunt ... Similes Social Studies Missouri Maps Government Missouri Sharon Sumner Maps galore Mo Gov./Kids page
Homeschool Academic Studies, MATHEMATICS, Principles Application (to include theory economics)geometry (including Polygons, tessalations, Fractals) Algebra, Boxer Math http://www.compustyle.net/homeschool/Objectives2001.html
Mathgeometry geometry for Educators Mathematics - geometryMath resources for geometry teachersranging from lesson plans to tessalations. http://www.mathgeometry.blog.keywordblogger.com/
Mr. Buchel's World Of Math - Geometry Honors Assignments geometry Assignments Semester 2. * Please be aware that homework assignmentsfor dates in the future may be changed 40, June 2-3, tessalations Project http://teachers.sduhsd.k12.ca.us/mbuchel/Assign_Geo_Sem2.htm
Extractions: Geometry Assignments - Semester * Please be aware that homework assignments for dates in the future may be changed pending our progress in class. HW # Date Assignment Jan. 31 - Feb. 1 Pg. 288-289 1-39, 41; Pg. 292 1-18 Feb. 2-3 Pg. 292-293 19-38; Pg. 296 1-10 Class Ex; Pg. 297 1-8, 11-18 Feb. 4-7 Pg. 301 1-11 Class Ex; Pg. 302-303 1-29, 32-36 Feb. 8-9 Chapter 8 Quiz Today; Pg. 306 1-9 Class Ex; Pg. 308-309 1-24 Feb. 10-11 Pg. 313 1-10 Class Ex; Pg. 314-316 1-21 Feb. 14-15 Pg. 323-324 1-24; Pg. 324-325 1-27 odd Feb. 16-17 Chapter 8 Test Today; Pg. 330 1-11 Class Ex; Pg. 330-331 1-15 Feb. 22-23 Pg. 335 1-3 Class Ex; Pg. 335-336 1-6, 8abc, 9, 10, 16-18; Pg. 337 1-3 Mixed Review Feb. 24-25 Pg. 341 1-13 Class Ex; Pg. 341-342 1-8, 10, 11, 16 Feb. 28-Mar. 1 Pg. 346 1-5 Class Ex; Pg. 347-348 1-13, 17-22 Mar. 2-3 Chapter 9 Quiz Today; Pg. 352-353 4-9, 11 Class Ex; Pg. 354-355 1-9, 19-21 Mar. 4-7 Pg. 358-359 1-9 Class Ex; Pg. 359-360 1-23; Pg. 363-364 1-6 Class Ex; Pg. 364-365 1-9, 13-20
633 SPACE VARIANT IMAGE PROCESSING RS Wallace, P.-W. Ong, BB in the connectivity graph that are independent of the sensor geometry. (3) Werelate the connectivity graph to pyramids over irregular tessalations, http://csdocs.cs.nyu.edu/Dienst/Repository/2.0/Body/ncstrl.nyu_cs/TR1993-633/abs
Extractions: 633 SPACE VARIANT IMAGE PROCESSING R. S. Wallace, P.-W. Ong, B. B. Bederson, E. L. Schwartz, April 1993 This paper describes a graph-based approach to image processing, intended for use with images obtained from sensors having space variant sampling grids. The connectivity graph (CG) is presented as a fundamental framework for posing image operations in any kind of space variant sensor. Partially motivated by the observation that human vision is strongly space variant, a number of research groups have been experimenting with space variant sensors. Such systems cover wide solid angles yet maintain high acuity in their central regions. Implementation of space variant systems pose at least two outstanding problems. First, such a system must be active, in order to utilize its high acuity region; second, there are significant image processing problems introduced by the non-uniform pixel size, shape and connectivity. Familiar image processing operations such as connected components, convolution, template matching, and even image translation, take on new and different forms when defined on space variant images. The present paper provides a general method for space variant image processing, based on a connectivity graph which represents the neighbor-relations in an arbitrarily structured sensor. We illustrate this approach with the following applications: (1) Connected components is reduced to its graph theoretic counterpart. We illustrate this on a logmap sensor, which possesses a difficult topology due to the branch cut associated with the complex logarithm function. (2) We show how to write local image operators in the connectivity graph that are independent of the sensor geometry. (3) We relate the connectivity graph to pyramids over irregular tessalations, and implement a local binarization operator in a 2-level pyramid. (4) Finally, we expand the connectivity graph into a structure we call a transformation graph, which represents the effects of geometric transformations in space variant image sensors. Using the transformation graph, we define an efficient algorithm for matching in the logmap images and solve the template matching problem for space variant images. Because of the very small number of pixels typical of logarithmic structured space variant arrays, the connectivity graph approach to image processing is suitable for real-time implementation, and provides a generic solution to a wide range of image processing applications with space variant sensors.
MATHEMATICS (MATH) geometry for Elementary School (13) Rpt./4 units Various topics in geometryfor elementary and middle school teachers, such as tessalations, symmetry, http://catalog.arizona.edu/courses/974/MATH.html
Extractions: MATHEMATICS (MATH) Introduction to College Algebra (3) Lecture. Not applicable to the mathematics major or minor. Basic concepts of algebra, linear equations and inequalities, relations and functions, quadratic equations, system of equations. P, two entrance units in algebra or an acceptable score on the math readiness test. This course will be offered for the last time in Fall 1997. Introduction to College Algebra (3) Self-Study. Identical to MATH 116R except taught in a self-study tutorial format. Not applicable to the mathematics major or minor. P, two entrance units in algebra or an acceptable score on the math readiness test. This course will be offered for the last time in Fall 1997. College Algebra (3) Lecture. Not applicable to the mathematics major or minor. Brief review and continuation of MATH 116R/S, functions, mathematical models, systems of equations and inequalities, exponential and logarithmic functions, polynomial and rational functions, sequences and series. Students with credit in 120 will obtain only two units of graduation credit for 117R. P, 116R or 116S or an acceptable score on the math readiness test. This course will be offered for the last time in Spring 1998. College Algebra (3) Self-Study. Identical to MATH 117R except taught in a self-study tutorial format. Not applicable to mathematics majors or minors. Students with credit in 120 will obtain only two units of graduation credit for 117S. P, 116R or 116S or an acceptable score on the math readiness test. This course will be offered for the last time in Spring 1998.
Westlake Academy : : Maths and percents; polygons; an introduction to Algebra; an introduction to geometry;probability; understand and develop tranformations and tessalations http://www.westlakeacademy.org/en/Maths.html
Extractions: In the MYP Mathematics program, students are taught the usefulness and power of mathematics. Students learn the language of mathematics to enable them to model events and situations, providing a better understanding of the world around them. It is also essential that students have a solid foundation of mathematical knowledge, skills and attitudes to prepare them for high school classes and the future. The 7th grade Mathematics program begins with the core topics of sixth grade mathematics and builds upon them. The primary focal points are using proportional relationships in number, geometry, measurement, and probability; applying addition, subtraction, multiplication, and division of decimals, fractions, and integers; and using statistical measures to describe data. Throughout the seventh grade, students build a foundation of basic understandings in number theory, operations, and problem solving. Class time will be spent working with algebraic concepts, including patterns, relationships, and the representation of these relationships in numerical, geometric, verbal, and symbolic form. Students will use properties and relationships to model and solve problems involving geometric shapes and solids. Additional work will be on application problems involving length (perimeter and circumference), area, and volume. Time will be spent evaluating and interpreting statistics. Mathematical models will be used to describe the probability of real-life events. Problem solving strategies will be used to solve a variety of problems that can be found in everyday experiences as well in other disciplines. The seventh grade program is building the skills our students will need to be successful in a more extensive study of algebra and in future high school courses.
Day 2 today we did tessalations. In the first half we talked about which shapes tessalate . Today i worked on geometry. I actully had hands on with shapes. http://www.shodor.org/succeed/programs/mex2005/reports/two.php
Extractions: Candid Student Reports The following reports were written by members of Math Explorations during the second day of the program. Some elements may have been removed/edited for various reasons, but the text that remains is in the student's own words. Kennia I love Everything Here. This is the best campn ever Elvis i leraned about what the shapes are acoording to the sides. today was a fun day. Avery today we did tessalations. In the first half we talked about which shapes tessalate. At break we played ball. When we came back in, we tried to make figuresout of darts and kites. Next we made our own tessalations out of magazine pictures. Bianca today we talked about shapes and how to make even bigger shapes.Then we made one our self. It was fun Brandon Today i worked on geometry. I actully had hands on with shapes. I did things with shapes I did not know I could. It was great. Gray yah yah. today we worked with tessellation, and i did not finish my porject.(nobody did) but, i did well, same as yesterday. Mauricio Today was really fun looking at different tilings with many different shapes. It was also fun making our own collage using tiling method.
Extractions: Other Math Resources EduStock Edustock is designed to teach people of all ages about the stock market. It includes: EduStock http://tqd.advanced.org/3088/welcome/welcomenf.html The Diet Problem: An Application of Linear Programming Check-off the foods you're willing to eat and the program will find the cheapest combination of them meeting a person's daily nutritional requirements. Provides numbers of servings, cost, percentages of nutrients from different sources, etc. in both table and pie chart form. PLEASE consult your doctor before embarking on any diet especially one, for example, including 10 servings of Air-Popped Popcorn!! Argonne National Laboratory Mathematics and Computer Science Division http://www.mcs.anl.gov/home/otc/Guide/CaseStudies/diet/index.html
Tibor Bisztriczky's Publications Surfaces of Order Three with a Peak I, J. of geometry, 11/1(1978), 5583. limited edge-to-edge snakes in Euclidean tessalations,Congressus Numeratium, http://www.math.ucalgary.ca/~tbisztri/pub.html
Extractions: Hypersurfaces of Order Two, A.M.S. Trans., 220 (1976), 205-233. Surfaces of Order Three with a Peak I, J. of Geometry, 11/1(1978), 55-83. Surfaces of Order Three with a Peak II, J. of Geometry, 11/2(1978), 110-138. Biplanar Surfaces of Order Three , Canad. J. of Math., 31 (1979), 396-418. Uniplanar Surfaces of Order Three, Geometriae Dedicata, 8 (1979), 259-277. On Surfaces of Order Three, Canad. Math. Bull., 22/3(1979), 351-355. On the Lines of a Surface of Order Three, Math. Ann., 243 (1979), 191-195. Biplanar Surfaces of Order Three, II, Canad. J. of Math., 32 (1980), 839-866. with I. Rival, Continuous, Slope-preserving Maps of simple Closed Curves, Canad. J. of Math., 32 (1980), 1102-1113. C-nodal Surfaces of Order Three Canad. J. of Math., 25 (1983), 68-100. On the singularities of almost-simple plane curves, Pac. J. Math., 109 (1983), 257-273. with P. Scherk, An application of a theorem by Hjelmslev, C.R. Math. Rep. Acad. Sci. Canada, 5 (1983), 195-199. Inflectional convex space curves, Can. J. of Math. 36 (1984), 537-549.
Math Web Sites Fractals K12 Statistics The Mathematics of Cartography The Mathematicsof Rainbows geometry through Art Sorting and Predicting tessalations http://www.wcsd.k12.ms.us/shs/tlcf/econner/math.htm
Index_html Differential geometry and mathematical physics AMS, 1998 DG Behrend, K. Quantumcohomology JM Classical tessalations and threemanifolds Springer, http://www.math.uni-potsdam.de/prof/m_geometrie/d_Handbibliothek
Extractions: Stand 19.09.05 - 501 Titel A B C D ... X-Y-Z Vafa, C.(ed.): Winter School on Mirror Symmetry, Vector Bundles, and Lagrangian Submanifolds Beteiligt: Cumrun Vafa; Shing-Tung Yau (eds.) AMS, 2001 GEO Valette, A.: Introduction to the Baum-Connes conjecture Birkhäuser, 2002 TOP Vanhaecke, P.: Integrable systems in the realm of algebraic geometry, 2nd ed. Springer, 2001 GEO Varadarajan, V.S.: Geometry of quantum theory, 2nd ed. Springer, 1985 MP Vinogradov, A.M.: Cohomological analysis of partial differential equations and secondary calculus AMS, 2001 DOP Visconti, A.: Introductory differential geometry for physicists World Scientific, 1992 DG Voisin, C.: Mirror symmetry AMS, 1999 GEO Voß, H.: PSTricks: Grafik mit PostScript für Tex und Latex, 2te Aufl. Lehmanns, 2005 GEN (1.22-23) Horst Wendland am 19.09.2005
CSS Exercise 5 tessalations are Great. Maurits Escher was always referred to by his parents as When, later, in stereometry solid geometry, an appeal was made to my http://eduscapes.com/arch/cssex5.html
Extractions: Maurits Escher was always referred to by his parents as Mauk. He was brought up by his father, George Escher, who was a civil engineer, and his second wife Sarah who was the daughter of a government minister. He lived with his four older brothers, Arnold, Johan, Berend, and Edmond. Maurits attended both elementary and secondary school in Arnhem between 1912 and 1918, where he failed to shine in many of his subjects, but exhibited an early interest in both music and carpentry. People expressed the opinion that he possessed a mathematical brain but he never excelled in the subject at any stage during his schooling and treated the subject with some considerable unease. He wrote [7]:- At high school in Arnhem, I was extremely poor at arithmetic and algebra because I had, and still have, great difficulty with the abstractions of numbers and letters. When, later, in stereometry [solid geometry], an appeal was made to my imagination, it went a bit better, but in school I never excelled in that subject. But our path through life can take strange turns. Early reports detailed his methodological approach to life which was taken to be an unconscious reaction to his engineering family upbringing. As a child, Maurits always had an intensely creative side and an 'acute sense of wonder'. He often claimed to see shapes that he could relate to in the clouds.
Chalkface - Mathematics Interactive geometry with JavaSketchPad Explore geometrical shapes such as the theoryTotally tessellated Fascinating collection of tessalations, details about http://www.chalkface.net/pagecopy/subjectitems/maths01.htm
Escher And The Droste Effect - Universiteit Leiden I have a book about tessalations, and I am wishing to make a quilt which i neede help on a geometry echer project and this site really helped me! http://escherdroste.math.leidenuniv.nl/index.php?menu=contact&b=10
