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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

Updated 11/14/97. (3.9) geometry and spatial reasoning. Students use five square tiles to form pentominoes and record each pentomino shape on inchgrid paper.

Extractions: Clarifying Activity Each student makes a shape on a geoboard. The teacher sorts the shapes into two groups according to a secret geometric attribute, e.g. closed shapes vs. shapes that are not closed, shapes with right angles vs. shapes with no right angles, etc. Students analyze the shapes in each group, use formal geometric vocabulary to write a summarizing statement about each group, share their statements, and discuss them. Clarifying Activity Students classify geometric solids (prisms, cones, cylinders, pyramids, spheres) according to characteristics such as numbers of faces, shapes of faces, numbers of edges, numbers of vertices. Updated 11/14/97

2. Math Online - Materials & Technology
pentominoes, measurement area, perimeter geometry transformations, tesselations, symmetry, 1 set per 2 students. playing cards, general, 1 per student.
http://jeffcoweb.jeffco.k12.co.us/isu/math/mathsd/materials/uses.htm

Extractions: Bold represents basic manipulatives for each classroom in these grades. Manipulative Standard: Concept Classroom Quantities attribute shapes algebra: sorting, classifying, attribute 1 set per 2 students balance (non-calibrated) measurement 1 per 2 students base ten blocks number sense: place value 10-15 sets

3. Geometry
geometry of the Sphere Material covered includes basic information about spheres, proof and of order 4..7 The 5 tetrominoes; the 12 pentominoes; the 35

Interlocking Puzzles LLC are makers of hand crafted hardwood puzzles including burrs, pentominoes, and polyhedra. Inversive geometry.

5. EDCI5234 Internet Lesson Plans: Geometry And Measurement
abailey@vt.edu) I chose an activity on symmetry, the beginnings of geometry. Jason Brennan (jabrenna@vt.edu) I found this real cool lesson on pentominoes.
http://www.math.vt.edu/people/lloyd/class_home/old/5234geometryplans.html

6. Mathematics_p5 Fractions, Geometry, Algebra And PreAlgebra
Math. Number Recognition. Place Value, Counting Sorting. Base Ten, Tangrams pentominoes. Time Money. Fractions, geometry Algebra. Measurement Graphing.
http://www.sherwoodsforest.com/educational_p3/mathematics_p5.html

7. Geometry Potent Problem Database
Potent problem database, geometry. Box nets, 5adult, 3-d visualization, cubes, nets, pentominoes, transformations, answers, extensions,
http://www.edmath.org/potent/Geometry/geometry.html

8. Edu1.com , Education First
Synergetic geometry Images/Animations Explore this site and check out with dominoes, trominoes, tetrominoes, pentominoes, solid pentominoes, hexiamonds, and
http://www.edu1.com/edu1/directory/cat.asp?id=3321&u=A

9. Teaching Things - Search Category
N/A Grade Level 36 Curriculum 8. PROBLEM SOLVING WITH pentominoes BOOK 96-page activity book. 6. geometry FRACTIONS WITH TANGRAMS BOOK Product

10. Geometry
and geometry (Tasks graded from easiest to hardest) The Cat on the Mat Perfect Match. Matching Matches. The Sphinx Squares Squares. Hex a Hexagon. pentominoes.
http://www.dlk.com.au/beingmathematical/geometry.htm

Extractions: The Cat on the Mat The Sphinx Squares Squares Hex a Hexagon Pentominoes Other Ominoes Shapely Borders Fitting Bits Vanishing Line Five Hats and a Dome Geo Gems Midgets, Mutts, Guys and Geese Triangles Triangles Make More Squares Patterns in the Pie Patterns in the Pie - Beware Pentagonal Man Optical Illusions Optical Illusions - the Challenge Set Triangles One The Four Colour Map Problem An Odd Thing About Vertices Tiling Without Flaws Reptiles Repetition Tiles Points, Lines and Spaces Between The Mobius Strip Horrible Triangles Derived Polygons Apollonius' Problem The Cantor Set The Golden Rectangle The Golden Ratio Fibonacci and the Golden Ratio The Golden Ratio and Architecture The Golden Ratio and Art Proof: All Triangles are Isosceles The Koch Curve Basic Trigonometry and the Unit Circle Iterating sin, cos and tan

11. Problem Solving With Pentominoes
Math TEKS Problem solving; translations; reflections; rotations; geometry (Spatial Sense Terrapin Logo Printed Materials Packet of pentominoes Classroom Warm Up
http://www.tcet.unt.edu/START/instruct/lp0005.htm

Extractions: Problem Solving with Pentominoes Overview: Students create the 12 different pentomino shapes (letters) on the computer using the Logo programming language. Students build each letter based on a 30 by 30 square. Students use super procedures to create each letter. After creating the 12 pentominoes letters, students use their letters to create new "flip" letters. Students then combine letters to create five different puzzles: two different rectangles, two different sets of stairs, and a hat shape. Grade level Time frame Subject Areas TEKS 10 days of 5 minute warm ups, then 5 days in the lab Mathematics Technology Applications Use of foundation and enrichment curricula in the creation of products; Use of GroupWare, collaborative software, and productivity tools to create products; Resolve information conflicts and validate information through research and comparison of data.

12. Solution For /geometry/pentomino
Solution to the /geometry/pentomino problem. I ve seen several different naming schemes used for pentominoes. This is the system
http://rec-puzzles.org/sol.pl/geometry/pentomino

Extractions: FF I L N PP TTT U U V V W W W X X Y ZZ FF I L NN PP T UUU V V W W X YY Z F I L N P T V X X Y ZZ I LL N Y A 3x20 solution (the other solution is easily obtained by a rotation of the section from the Z to the L inclusive): UUXPPPZYYYYWTFNNNVVV UXXXPPZZZYWWTFFFNNLV UUXIIIIIZWWTTTFLLLLV A 4x15 solution: IIIIINNLLLLTVVV UUXNNNFZZWLTTTV UXXXYFFFZWWTPPV UUXYYYYFZZWWPPP NFVVV YYYYI NFFFV LLYZI NNFXV LZZZI PNXXX LZWTI PPUXU LWWTI PPUUU WWTTT The 2x3x10 and 3x4x5 solutions are tricky to show - I hope these diagrams make sense: A 2x3x10 solution (shown as 2 layers; Y and L are shared between the 2 layers): VVVZIIIIIF UUXTTTWWPP VZZZNNNFFF UXXXTWWPPP VZYYYYNNFL UUXYTWLLLL

13. Mathematics Geometry And Measurement Grade 6
Overhead illustrations. Use pentominoes and pattern blocks to illustrate slides, flips, and turns. Grade 6. In the Area of geometry Measurement. 6.

Extractions: Mathematics Curriculum Guide Geometry and Measurement Grade 6 In the Area of: Once students have found a ratio with which they are satisfied, the teacher introduces the term and symbol . . Discusses nonrepeating, nonterminating decimals. Allow students to compare their predictions and examine approximations used historically. Given calculators, students attempt to produce a more accurate estimate of the relationship. They may wish to repeat their measurements to increase accuracy. Students might repeat the activity using a different unit of measurement to illustrate that the relationship still holds. The History of PI.

14. Activities
pentominoes problems good for shape and space. It gives all the different pentominoes as well. Stop the Clock. tessellations from Hawaii kids year 9 geometry.
http://www.naenae-college.school.nz/maths/geometry.htm

Extractions: Geometry Activities Text and Tests Demonstrations Pentominoes pentominoes problems good for shape and space. It gives all the different pentominoes as well. Stop the Clock Interactive game involving angles Tessellation Links Tessellation Links Student Tessellations tessellations from Hawaii kids year 9 geometry Short Activity which matches nets to solids Tessellation Tutorials tessellations, lots to do and see and search. Year 9, map classes, good project potential Geometry Applets geometry applets includes angles, parallel lines, Circles, Quadrilaterals and Pythagoras. BACK TO MATHS HOME PAGE

15. 20,000 Problems Under The Sea
geometry Recreational Mathematics arrays polygonal arrays Solid geometry polyhedra pentahedra Solid geometry pentominoes Recreational Mathematics
http://problems.math.umr.edu/keywords/p/pe.html

Extractions: Home Search Tips Power Search Subject Index ... House of Math Keywords beginning with: pe Keywords are listed alphabetically. Following each keyword is a list of all classifications containing that keyword. To perform a search, select one or more checkboxes then click the "Find Problems" button. Select the maximum number of problems to be displayed per screen: peculiar years pedal curves pedal lines pedal points pedal triangles

16. Cmcmath : Asil 230 Et Al
Little Boxes That Growpentominoes. Tom Murray pentominoes make a powerful mathematical connection between measurement and geometry.
http://www.cmc-math.org/AsilReg230

3D Drawing and geometry http//forum.swarthmore.edu/workshops/sum98/participants/sanders Java Puzzles pentominoes http//enchantedmind.com/newjava.htm Pent.

Extractions: Teaching Resources (Courtesy Dr. R Freese) Contents: Experiment with Volume (simle worksheet, estimating volume) http://math.rice.edu/~lanius/Geom/cyls.html Volume Functions: (Worksheet)Calculating volumes http://math.rice.edu/~lanius/Geom/cyls2.html Geoboard Area : a worksheet exploring area. (Based on the geoboard) Designs with Circles: construction of circles (rotation and reflection symmetry) http://forum.swarthmore.edu/alejandre/circles.html Percentage Circle http://forum.swarthmore.edu/~sarah/shapiro/gsp.percent.circle.gif Nets of crystals: paper construction of crystals, polyhedrahttp://forum.swarthmore.edu/alejandre/workshops/crystalnet.html Systems of Crystals (type of crystals, and physical examples) http://forum.swarthmore.edu/alejandre/workshops/chart.html Real World - Viewing Crystals (applications of Tesselations in the real world) http://forum.swarthmore.edu/alejandre/workshops/crystal.html Isometric Drawing http://forum.swarthmore.edu/workshops/sum98/participants/sanders/Isom.html

18. Worksheets For Informal Geometry
Worksheets for Informal geometry. Polynominos (PS) (PDF) A more generalized worksheet exploring triominoes, tetrominoes and pentominoes.
http://euler.slu.edu/courseware/inf.geom/geometrymaster.html

Extractions: Teaching Resources Our worksheets can be obtained in Postscript (PS) or Portable Document File (PDF). One of the best introductions to GSP I know of is the one by Mike Riedy. All the labs below are just sligthly altered versions of his. You should take a look at the original an Intro to Geometer's Sketchpad PS PDF ) (A version I use in a Math. Ed. course) Another Intro to GSP PS PDF ) (This version was used in a fresmen seminar) Creating Tessellations using translations, rotations and reflections ( PS PDF An introduction to tessellations PS PDF More on tesselations PS PDF Tessellation Techniques for some special cases. ( PS PDF ) Using the "Totally Tessellated" website explore some methods for creating tessellations. Pentominos PS PDF Polynominos PS PDF ) A more generalized worksheet exploring triominoes, tetrominoes and pentominoes. Tetrominoes en Polynominoes PS PDF ) Explore tetrominoes and polynominoes. Create tessellations using some of these shapes Regular and semi-regular tessellations PDF ) Explore regular tessellations (there are 3) and semi-regular tessellations (there are 8). (Refers to pages in O'Daffer and Clemens.)

19. Math 377: Geometry For Elementary Teachers
measuring angles Pattern blocks Congruence Constructions pentominoes Tangrams Supertangrams Lab lesson on diagonals Mira Polyhedron geometry Dodecahedrons by
http://www.und.edu/dept/math/syllabi/syl/377.html

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