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Pentominoes Geometry:     more detail
1. Pentominoes by Carson-Dellosa Publishing, 1999-01-26
2. Pentominos/ Pentaminoes: Acertijos de formas para hacerte pensar/ Puzzle Pieces to Make You Think (Jugando Aprendo/ Learning Through Play) (Spanish Edition) by Jon Millington, 2007-02-28
3. Math discoveries with pentominoes by Ann Roper, 1995

lists with details

1. Didax Educational Resources
pentominoes Group Set, pentominoes Group Set 72 Pieces These 12piece Workbook Blackline investigations encourage students to explore geometry using butchers

2. Exploring Geometry Through Puzzles And Games MathBox
and Games MathBox enables teachers to enrich their geometry curriculum with Activities Tangram Sphinx Puzzle pentominoes Hexiamonds Designs and Edge Matching
http://www.mathteacherstore.com/middle/midlcopy/geometrycopy/gpuzzlembmain.htm

3. Pentominoes Page
Keep in mind that there are two pentominoes that cannot be constructed in this http//home.ust.hk/~philipl/omino/omino.html; The geometry Junkyard, polyominoes

Extractions: Pentominoes are shapes that use five square blocks joined edge to edge to form various combinations. There are twelve possible shapes in a set of unique pentominoes, named T, U, V, W, X, Y, Z, F, I, L, P, and N. An easy way to remember all the letters in a pentominoes set is to look at the word, FILiPiNo, and remember the end of the alphabet, TUVWXYZ. Pentominoes are said to have been "invented" by Solomon W. Golomb in 1953 at a talk he gave to the Harvard Mathematics Club. Although he came up with the name, pentominoes have been around since a much earlier time. The first pentomino problem, written by the great English inventor of puzzles, Henry Ernest Dudeny, was published in 1907 in the Canterbury Puzzles. The twelve pentominoes are often referred to by the letters they resemble. There are about as many puzzles and games using pentominoes as there are people who play with them. Here are a few examples. There are many more puzzles and solutions all over the internet and in the book Polyominoes by Solomon Golomb.

4. Creative Academics - Math, Attribute Blocks, Pentominoes
Attribute Blocks This 60piece geometry set includes five shapes, three colors Rainbow Premier pentominoes Scored pentomino sets in red, blue, green, yellow

Extractions: These high-quality desk-size attribute blocks do double duty. Unique proportional sizing allows you to extend their use to teaching fractions too! Set of 60 plastic blocks in five shapes, two sizes, three colors and two thicknesses. Squares range from 1.5" to 3". Teaching Guide included. Ages 5-11. This 60-piece geometry set includes five shapes, three colors, two sizes and two thicknesses. Compartmentalized, plastic storage box has lid that doubles as a stencil/shape sorter. Pieces range in size from 10 cm2 to 30 cm2. Pocket set pieces range from 3 cm2 to 9 cm2. Ages 3-11. Attribute Block Desk Set in Bag Attribute Block Desk Set in Box Overhead Attribute Blocks Attribute Block Activity Cards

5. ThinkQuest : Library : Math Mania
especially in the lessons geometry) and one of us has make the website Perhaps you will join our competition or give us a link? Thanks very much pentominoes.
http://library.thinkquest.org/26342/gather/board/messages/19.html

Extractions: Index Math Algebra Math Mania has two important applications. One application is the use of math lessons to teach formulas and other methods of solving various math problems. The other application is to predict the outcome of certain problems based on given data with the Math Mania Math Solver. Math Mania is full of useful information to help one learn the language of mathematics. This site incorporates the principles of math and presents them using a collection of math lessons. These math lessons are assisted by a mailing list, a message board, and chat. These tools provide an interactive line of communication between Math Mania and the online users. Math Mania also includes an online search and sitemap to allow users to quickly navigate the site and find desired information. With Math Mania, we hope users will develop a greater appreciation for math and a greater knowledge of math and its applications. Visit Site 1999 ThinkQuest Internet Challenge Languages English Students Aaron Washington Math Science and Technology Public Charter High S, Washington, DC, United States

6. Geometry Math Lab
geometry Math Lab. burst2.gif (945 bytes) pentominoes. burst2.gif (945 bytes) Ladybug Leaf. burst2.gif (945 bytes) Ladybug Mazes. burst2
http://www.harlan.k12.ia.us/Math Lab - Geometry.htm

7. Web Citations - Dissections: Plane & Fancy
pentominoes Click on pentominoes and select Dissections . Andrew Crompton s grotesque geometry. Magic 4 U s tricks. Godfried Toussaint s Links to the World
http://www.cs.purdue.edu/homes/gnf/book/webref.html

8. IMAGES | Transformational Geometry
Transformational geometry. Creating pentominoes, 45, Have students work together, using square tiles, to find the 12 different pentomino shapes and record their
http://images.rbs.org/content_strands/transformational_geometry/instructional_ac

Extractions: Activity Grades Description Line Symmetry K-3 Have students show lines of symmetry using pattern blocks, a pattern block applet, or paper folding. Make connections to the suggested children's literature. Geoboard Polygons Students create polygonal regions on the geoboard. Explore reflectional and rotational symmetry of the shapes created. Simply Symmetrical Have students explore the classroom for symmetrical designs with both reflection and rotation symmetry. Have students draw the missing half of an object using reflection symmetry. Have students explore symmetry in block letters. Geo-Dot Paper Have students draw different quadrilaterals on dot paper and then compare their shapes with a partner. Explore properties of shapes, congruent and similar shapes, and translations and reflections. Pentomino Pieces Regular Polygons Have students create regular polygons with flexible straws and explore which of the regular polygons will tessellate. Creating Pentominoes Have students work together, using square tiles, to find the 12 different pentomino shapes and record their results on graph or square dot paper. Have students use transformations to verify the uniqueness of shapes.

9. Geometrical Page
Looking at his work inspired me to do some geometry themed art myself. I later, whilst looking at book called pentominoes while i was doing maths at university
http://web.ukonline.co.uk/william.labbett/art_files/geometry_page_1_htm.htm

Extractions: This is the first page of pictures i have done of a geometrical nature. I've found shapes 2D and 3D very enjoyable to play with and explore since i was little. When i was about 20 i discovered MC Escher, the master of tesselations and implausible worlds. Looking at his work inspired me to do some geometry themed art myself. Here's some of the work i've done: This picture has a long history. It was originally a little painting about 8cm square. It was painted with gouache and with many more colourst. It was painted roughly during the summer of 1993. I decided to simplify the colour scheme and added the background (10 years later). The single shape which tesselates to make the incomplete circle i discovered myself - i was playing around with shapes because i wanted to do a tesselation. I later, whilst looking at book called Pentominoes while i was doing maths at university, found out that this particular shape is officialy known as a 14-ominoe. The background is also my own invention i'm somewhat proud to say. It is a tesselation of 11 different 11-ominoes. Check out http://www.uwgb.edu/dutchs/symmetry/polypoly.htm

10. Pentominoes -- LEGO
LEGO + geometry. My first LEGO puzzle (I expect there to be many more) is a recreation of the classic pentominoes Pieces Puzzle.
http://www.ericharshbarger.org/lego/pentominoes.html

Extractions: Besides my fascination with LEGO bricks, I have many other hobbies and interests. One such pasttime has been crafting puzzles, games, and brainteasers of various sorts. Often I craft the necessary pieces out of wood, but other times I make use of whatever is available (local school supply shops love me because I'm always buying tokens, dice, letter tiles, marbles and the like). It finally sunk in recently that for rectagular pieces that need to be fashioned with high precision, LEGO bricks would be a fine material with which to work. My first 'LEGO puzzle' (I expect there to be many more) is a recreation of the classic Pentominoes Pieces Puzzle. A 'pentomino' is a geometric shape formed by the edge-to-edge joining of five unit squares. There are twelve such unique pieces (not including reflected images). With twelve pieces at five squares each, this creates pieces which cover an area of sixty units (12 X 5 == 60). Thus, one challenge is to try to fit the pieces into a perfect rectangle of given dimensions; say, a 6 x 10 rectangle. Much more can be discussed about the mathematical properties of pentominoes (see below for related links). The challenge I posed for myself was to build twelve such pentominoes out of LEGO bricks and plates and tiles, and a tray into which to place them.

11. Mrs. Perkins Assignments
3 rd geometry. TEST. Group Project (classifying triangles). Group Project (classifying triangles). Quiz. Congruent Triangles. pentominoes. (no homework). pentominoes.
http://www.danville.k12.in.us/teachers/High/perk/web/assignments.html

Extractions: Mrs. Perkins Home Page Assignments Classroom Policies Links Current Week NOTE: The assignments are posted at the end of each day and will reflect what was done in class. Monday Tuesday Wednesday Thursday Friday st Trig/Stats Word Problems Circular Functions Worksheet Ferris Wheel and Paddle Wheel rd Geometry Congruent Triangles p. 210 #14-19 Worksheet Proofs #1 th Geometry Congruent Triangles p. 210 #14-19 Worksheet Proofs #1 th PreAlgebra Sovling Equations after collecting like terms Worksheet 20 problems Last Week Monday Tuesday Wednesday Thursday Friday st Trig/Stats Review for test TEST Drill (no class) rd Geometry TEST Group Project (classifying triangles) Group Project (classifying triangles) Quiz Congruent Triangles Pentominoes (no homework) th Geometry TEST Group Project (classifying triangles) Sum of the angles of triangles Quiz Congruent Triangles Pentominoes (no homework) th PreAlgebra Solving Equations with multiplication and division Computer Lab Solving 2 step equations Solving 2 step equations Quiz Pentominoes (no homework) Monday Tuesday Wednesday Thursday Friday st Trig/Stats FINISH TEST SIN/COS CURVES PERIOD AND AMPLITUDE CHANGES IN DEGREES Worksheet SIN/COS CURVES PERIOD AND AMPLITUDE CHANGES IN RADIANS Worksheet QUIZ SIN/COS CURVES WITH VERTICAL SHIFTS Worksheet SIN/COS CURVES WITH HORIZONTAL SHIFTS Worksheet rd Geometry REVIEW FOR TEST Worksheet TEST QUIZ th Geometry REVIEW FOR TEST Worksheet TEST QUIZ th PreAlgebra

12. Pentomino Puzzle Game Lets You Create Geometric Puzzles.
Arranging pentominoes in various shapes and designs teaches geometry students about the basic geometric transformations slides, rotations, and reflections.
http://www.virtu-software.com/products/PentoMania.asp

Extractions: Now that same capability has been brought to the computer with Virtu Software's first educational software release: PentoMania. Not only can students solve pre-existing pentomino puzzles (such as the one shown here), but they can use the 'edit mode' to design their own puzzles. They will quickly discover that creating their own puzzles is just as challenging as solving someone else's, and just as much fun.

13. National Library Of Virtual Manipulatives
pentominoes  Algebra (PreK2), Algebra (3-5), Algebra (6-8), Algebra (9-12 Platonic Solids  geometry (PreK-2), geometry (3-5), geometry (6-8), geometry (9
http://matti.usu.edu/nlvm/applets/controller/query/query.htm?qt=

14. Danny S
Danny s Excellent Lesson. LESSON PLAN USING pentominoes. I. ALGEBRA I / geometry II. GOAL The algebra student will begin the understanding of symmetry.
http://laika.ed.csuohio.edu/fall98/edb567/deWolfWeiss/Dan.Lesson

15. V 10.0 Browser (release 0.a2)
discs commodity-60.10.30.12 pentominoes activity book -commodity-60.10.30.13 pentominoes pattern cards -class-60.10.31.00 geometry teacher resource
http://www.eccma.org/unspsc/browse/60.html

Extractions: V 11.0 Browser (release 0.a2) Release Date: July 15, 2002 For service: Membership@eccma.org Search V 11.0: Get help or see credits All ECCMA codes are in the public domain freely available to the public with no licensing fees or use restrictions. As a member of ECCMA you have access to the current versions of the codes, which are updated every 30 days. Members of ECCMA are notified of any changes and updates to the codes, have access to all Technical Reports and Implementation Guides and have the ability to submit requests and vote on changes to the codes. To join ECCMA please visit www.eccma.org/join.htm ***Please note that the public version is updated quarterly and may not be the current version, therefore should not be used for implementation purposes. Seg Title Musical Instruments and Games and Toys and Arts and Crafts and Educational Equipment and Materials and Accessories and Supplies -family- Developmental and professional teaching aids and materials and accessories and supplies -class- Math kits -commodity- Addition math kits -commodity- Division math kits -commodity- Fraction math kits -commodity- Middle School math kits -commodity- Early childhood math kits -commodity- Measurement math kits -commodity- Multiplication math kits -commodity- Elementary math kits -commodity- Subtraction math kits -commodity- High school math kits -class- Electronic learning aids -commodity- Electronic card readers -commodity- Curriculum based electronic learning aids -commodity- Electronic globes -commodity-

16. Opening Children's Eyes To Patterns - Deborah Christopher
pentominoes \$14.95, Problemsolving pentominoes \$10.95. geometry Fractions with Tangrams \$8.95, Class pack Tangrams \$26.95. TesselMania Deluxe software \$54.55,
http://www.ecesc.k12.in.us/eisenhower/2001/project3.htm

Extractions: Royerton Elementary School Learning Objectives 1. Students will use digital images to identify the patterns seen in objects in nature and man-made items. 2. Students will create a PowerPoint presentation using the digital images to present their findings. 3. Students will identify the patterns found in tessellations which they and others have constructed. 4. Students will compare a variety of polygons and hypothesize the ones which will tessellate. 5. Students will design tessellations using a variety of manipulatives, including drawing software. 6. Students will perform a variety of problem-solving exercises using tangrams, pentominoes, and pattern blocks. 7. Students will report/write describing the patterns which they and their group have constructed. 8. Students will use geometric terminology to describe patterns found in constructions and items found in nature. Evaluation Methods To Be Included In The Unit The teacher will develop assessment questions based on the Indiana math Proficiency Guide (#8) and the Indiana Science Proficiency Guide (#7).

17. SearchBug Directory: Science: Math: Recreations: Polyominoes
pfun/pfun.html Newsletter edited by Rodolfo Kurchan about pentominoes and other The geometry Junkyard Polyominoes http//www.ics.uci.edu/~eppstein/junkyard
http://www.searchbug.com/directory.aspx/Science/Math/Recreations/Polyominoes/

Extractions: Science Math Recreations Go to Directory Home Web Pages - ranked by popularity Solomon W. Golomb http://commsci.usc.edu/faculty/golomb.html Home Page of the inventor of polyominoes. Includes biography, black and white picture, research interests and publications list. Gamepuzzles http://www.gamepuzzles.com/ Polyomino and polyform games and puzzles manufactured by Kadon Enterprises Inc. Pentomino Puzzle Software http://www.virtu-software.com/products/PentoMania.asp Pentomino based puzzle game lets children solve and create geometric puzzles. Win32 software, download free time-limited demo version. Golygons http://pw1.netcom.com/~hjsmith/Golygons.html Serial Isogons of 90 Degrees, defined by A.K. Dewdney. Gerard's Universal Polyomino Solver http://www.xs4all.nl/~gp/PolyominoSolver/Polyomino.html Java code that can work out solutions for any of over 60 problems, some with hundreds and thousands of solutions. Some Variations on the Theme of Polyomino http://web.idirect.com/~recmath/poly.html

18. Math_resources
Activities involving spatial visualization, area, tessellations, symmetry, geometry, perimeter, congruence and similarity, all using pentominoes. Grades K4.

Extractions: BROOKLINE PUBLIC SCHOOLS - GIFTED AND TALENTED PROGRAM Mathematics Resource Materials This is the collection of mathematics resources that can be found in each school . In addition, each school has other books and resources that may not be found at other buildings. There is a separate listing for Science Social Studies Language Arts Thinking Skills and Gifted Education . The main G/T program resource library at the Sperber Education Center contains these titles and many more. BOOKS ON MANIPULATIVES MATH/LITERATURE GAMES GENERAL MATH RESOURCE GENERAL MATH RESOURCE (alphabetical order) Algebra to Go, by Great Source. A reference book for teachers wishing to review their knowledge of algebra topics. (2000) Awesome Math Problems for Creative Thinking, by Greenes, Findell, Gavin and Sheffield. This set contains a book for each of Grades 3-8. Excellent, interesting creative problems - some open-ended. All require students to think creatively. (2000) Beginning Algebra Thinking, Grades 5-6, by Judy Goodnow. A variety of pre-algebra problems, including story problems. (1994)

19. MthSc 216, Donna Simms
pentominoes Page. Test 2 Topics. Test 3 Topics. Constant Perimeter and Constant Area Rectangles is an interactive, webbased demonstration of a geometry tool.
http://www.ces.clemson.edu/~dsimms/216/

Extractions: Geometry for Elementary Education Majors Two and three dimensional Geometry including polygons, polyhedra and their properties; congruence, similarity, construction, coordinate plane; standard measurement, area, surface area, volume; transformations, and symmetries will be explored. The content, according to the South Caroline state standards, will be taught with appropriate methodology for teaching K-8. To view the syllabus or other class resources on-line visit the class resource repository My office hours for Fall 2002 are Mondays 2:30-4:00; Wednesdays 9:00-10:00, 2:30-4:00; Fridays 8:30-10:00. I am in the E-1 Calculus help center Tuesdays 3:30-4:30. You are welcome to see me in class or call for an appointment outside of these t imes. Click on the polyhedron at the right to look at selected student polyhedra.

20. ENC Online: Curriculum Resources: Problem Solving With Pentominoes: Grades 1-4 A
geometry. Process skills. Similarity. Activities require pentominoes scored in oneinch sections or paper pentominoes printed from a supplied blackline master.
http://www.enc.org/resources/records/0,1240,016461,00.shtm