Rep-tile. The "sphinx" polyiamond reptile. Four copies of the sphinx can be put together as shown to make a larger sphinx. A selection of rep-tiles, including the sphinx, two fish and the 5-triangle Terminology[edit] A rep-tile is labelled rep-n if the dissection uses n copies. Such a shape necessarily forms the prototile for a tiling of the plane, in many cases an aperiodic tiling. A rep-tile dissection using different sizes of the original shape is called an irregular rep-tile or irreptile.
If the dissection uses n copies, the shape is said to be irrep-n. Examples[edit] Defining an aperiodic tiling (the pinwheel tiling) by repeatedly dissecting and inflating a rep-tile. Every square, rectangle, parallelogram, rhombus, or triangle is rep-4. A right triangle with side lengths in the ratio 1:2 is rep-5, and its rep-5 dissection forms the basis of the aperiodic pinwheel tiling. Rep-tiles and symmetry[edit] Rep-tiles and polyforms[edit] Squares[edit] Equilateral triangles[edit] Right triangles[edit] Calculus I. Show Mobile NoticeShow All NotesHide All Notes You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone).
Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width. Here are the notes for my Calculus I course that I teach here at Lamar University. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus.
I’ve tried to make these notes as self-contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes. Here is a listing (and brief description) of the material that is in this set of notes. Discrete Mathematics. Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. The term "discrete mathematics" is therefore used in contrast with "continuous mathematics," which is the branch of mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas discrete objects can often be characterized by integers, continuous objects require real numbers. The study of how discrete objects combine with one another and the probabilities of various outcomes is known as combinatorics. Other fields of mathematics that are considered to be part of discrete mathematics include graph theory and the theory of computation.
Topics in number theory such as congruences and recurrence relations are also considered part of discrete mathematics. The study of topics in discrete mathematics usually includes the study of algorithms, their implementations, and efficiencies. Math Analysis Pacing Guide 2011-2012.doc. 5th Grade Freehand Geometry | Waldorf Teachers Gallery. CEMC - Events - Math Circles Presentations - Math Contests - University of Waterloo. The Waterloo Math Circles is a free weekly enrichment activity for grade 6 to 12 students organized by the Faculty of Mathematics of the University of Waterloo. Information about the audience, dates and location.
Listed below are summaries of the weekly presentations and related student exercises. These resources are provided for both students and teachers. Please use them! Winter 2014 Fall 2013 Winter 2013 Fall 2012 Winter 2012 Fall 2011 Winter 2011 Fall 2010 Winter 2010 Fall 2009 Winter 2009 Fall 2008. Geometry - Reflection. Every point is the same distance from the central line ! ... and ... The reflection has the same size as the original image The central line is called the Mirror Line ... A reflection is a flip over a line How Do I Do It Myself? Labels It is common to label each corner with letters, and to use a little dash (called a Prime) to mark each corner of the reflected image. Here the original is ABC and the reflected image is A'B'C' Some Tricks X-Axis When the mirror line is the x-axis we change each (x,y) into (x,−y) Y-Axis When the mirror line is the y-axis we change each (x,y) into (−x,y) Fold the Paper And when all else fails, just fold the sheet of paper along the mirror line and then hold it up to the light !
Math Books: Recommended books about mathematics. Countless math books are published each year, however only a tiny percentage of these titles are destined to become the kind of classics that are loved the world over by students and mathematicians. Within this page, you’ll find an extensive list of math books that have sincerely earned the reputation that precedes them. For many of the most important branches of mathematics, we’ve provided what we consider to be the best math books for the subject at hand. We aimed for a list of titles that were either introductory in nature or that fall into the category of “must-have” math reference books. Naturally a universal consensus doesn’t exit, but the books below are as close as it gets to a wish list for any aspiring mathematician or person who’s interested in mathematics.
Contemporary Abstract Algebra by Joseph Gallian Review: The seventh edition of Contemporary Abstract Algebra covers the basics of abstract algebra with clarity and a rarely seen brightness. Abstract Algebra by David S. By G.
A Time Line of Mathematicians. Prealgebra Math Videos! Euclid's Elements of geometry, chiefly from the. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource. Mathematical Preparation for the Cambridge Natural Sciences Tripos. YAY MATH! Algebra Geometry Math Videos Online | Homework Help. Math Circles, Blogs, and Summer Camp, Oh My! Starting a Math Circle A little over a year ago, someone on Living Math Forum asked for advice. She wanted to start a math circle. I was in a hurry, and gave her some quick thoughts.
Here are her questions and my replies: Rodi wrote: Some homeschool families in our community are hoping to start a math club, or even a math circle. I was hoping that some of you with experience could help with some start-up advice, such as: 1. What's the widest age spread a math club or circle can handle? We did end up talking on the phone, and Rodi decided to attend the Math Circle Institute. Rodi knew exactly what she wanted. Bits of Bob (collected during the math circles held at the 2011 Math Circle Institute) Imagine that an "accessible mystery" has been posed - an intriguing math problem that will have the participants scratching their heads for the next hour.
By the the way, “obviously” means “I don’t know what the heck I’m talking about.”I’m going to put something on the board. String, Straightedge, and Shadow. Click here to skip to this page's main content. Hello! Open Library is participating in our eBook lending program. Browse the growing lending library of over 200,000 eBooks! Site Search Full Text Search? Log in / Sign Up One web page for every book. This title from the Lending Library collection is already checked out. String, Straightedge, and Shadow Close String, Straightedge, and Shadow The Story of Geometry 1st edition [by] Julia E.
Published 1965 by Viking Press in New York, NY . Table of Contents Edition Notes Bibliography: p. [156] Classifications The Physical Object ID Numbers Read Borrow eBook is checked out. Physical copy, local WorldCat Buy Alibris Amazon AbeBooks Biblio.com Book Depository Powells Lists You could add String, Straightedge, and Shadow to a list if you log in. Are you sure you want to remove String, Straightedge, and Shadow from your list? History Created April 1, 2008 · 11 revisions Download catalog record: RDF / JSON / OPDS | Wikipedia citation Wikipedia citation Close Problem? Count. Hexagrams at Math Cats. NLVM Geometry Manipulatives.
Free Products | The Math Learning Center Catalog. The Math Learning Center offers a variety of free products for all grade levels. Unless otherwise noted, all of these resources can be used with any math curriculum. Lessons & Activities, Grades K-5 More than 130 activities sets and worksheets organized by grade level and topic. Each grade level includes a correlation chart for Common Core State Standards. Grade K, Grade 1, Grade 2, Grade 3, Grade 4, Grade 5 Bridges Breakouts, Grades K-5 Theme-based replacement units, games, and activities that provide problem-solving opportunities, skills practice, and continual encounters with broader math concepts. Problem Solving with Story Boxes, Grades K-2 Supplemental program featuring full lessons plans with blacklines, instructions for preparing manipulatives, and assessment ideas.
Opening Eyes, Grades 3-4 Two year’s worth of lessons that strengthen number sense while developing students' proficiency with numeration, fractions, measurement, geometry, probability, statistics, and data analysis. Math Videos. Alvin Introductory Bow Compass. Constructing The Universe. Christmas Home Page. John Rosasco is a four-time Grammy nominated music composer, producer and pianist. John also has a M.A. in Mathematics from California State University Sacramento and graduate studies in mathematics at U.C. Berkeley. He teaches math classes privately through his website at mathandmusicstudio.com. His educational interests include geometric topology and working with gifted children. By John Rosasco It is often said in recent times that we live in a new world of global competition. Most Americans see the direct correlation between a nation’s economic prosperity and its education systems, however, they are divided about how to improve our students’ math skills — a critical component in global competition.
There is a call among math educators for simplification in the introductory algebra course. I. II. High school algebra and geometry have been designed as preparation for calculus. Copyright 2009 by John Rosasco.