41. Grade 3 / Geometry 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. http://www.tenet.edu/teks/math/clarifying/cateksgrade33.html

Mathematics Clarifying Activities for Grade 3 (continued) Geometry and spatial reasoning. The student uses formal geometric vocabulary. The student is expected to: (A) name, describe, and compare shapes and solids using formal geometric vocabulary. 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 Geometry and spatial reasoning.

42. 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

Manipulatives Diagram Electronic Technology Types of Manipulatives Types of Manipulatives Pre-K - 2 Grades 3-5 Grades 6-8 Printable Documents Pre-K-2 Grades 3-5 Grades 6-8 Microsoft Word Format Microsoft Word Format Microsoft Word Format PDF Format ... PDF Format Pre-K - 2 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 1 set includes 100 ones, 10 tens, and 10 hundreds, 1 thousand (cube) calculators (T1-108) number sense: place value algebra: number patterns computation: combining and separating 1 per student circular counters general 50 counters per student clocks number sense measurement 1 per student color cubes general 50 per student Cuisinaire Rods number sense: fractions, whole number computation 1 set per 2 students dice (number cubes) data analysis: probability number sense: part/part/whole computation: all operations 1 per student Dominoes number sense: part/part/whole computation: addition and subtraction 1 set per 3 students fraction strips/circles (2nd grade) number sense 1 set per student geoboards/geobands number sense: fractions geometry: polygons measurement: area, perimeter

43. 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 http://www.rsts.net/home/edulinks/math/geometry.html

E D U L I N K S Geometry Formulae for Pi : Methods that have been chosen for many of the groundbreaking digitstorms in the past have been based on arctangent formulae." NonEuclid (Non-Euclidean Geometry) : An interactive simulation of the Poincaré Model of Hyperbolic Geometry for use in high school and undergraduate education. Electronic Origami Shop : Puzzles and games from IBM. The Euclid Project - Dr. Robert E. Mason IV : This sample Assignment on Circles uses the Geometer's Sketchpad and constructivist instructional procedures. Gallery of Interactive On-Line Geometry : Interactive On-Line Geometry from The Geometry Center at the Univ. of Minnesota. Geometry Forum Newsgroup Archives : Eight newsgroups, an online electronic community for all those interested in geometry. Geometry of the Sphere : Material covered includes basic information about spheres, proof and consequences of Girard's Theorem, and a proof of Euler's Formula. Internet Center for Mathematics Problems : An attempt to identify and list all sources of mathematics problems and related information on the Internet.

44. Robsite - Link Interlocking Puzzles LLC are makers of hand crafted hardwood puzzles including burrs, pentominoes, and polyhedra. Inversive geometry. http://www.robsite.de/download.php?id=27&rubrik=zweb

45. 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

Activities We Like ... Related to GEOMETRY Amanda Bailey abailey@vt.edu I chose an activity on symmetry Amy Bishop abishop@vt.edu The lesson plan I chose, , is a math activity on tangrams Angie R. Thomasson angie.thomasson@vt.edu I chose a measurement lesson plan called Integrating Math into a Spring Thematic Unit . This lesson plan not only includes measurement, it provides practice using addition, subtraction, > is more important to the concept of measurement than the addition is. I think these parts were just added to take up more time. Although, maybe I'm wrong. Jason Brennan jabrenna@vt.edu Jeff Meehan jmeehan@vt.edu I chose a lesson plan which deals with measurement of volume . I thought it was pretty interesting, and it sounds like it could be fun. The lesson plan actually doesn't have much of a procedure to follow, it is left up to the children to decide what to do. The teacher merely divides the children into groups, gives them the materials (scissors and tape and paper), and tells them to make a square centimeter, inch and meter and then a cubic centimeter, inch and meter. The lack of a exact procedure allows for problem solving and cooperation between the children. When the students are done building the boxes, they elect one member of the group to explain what they had done. I liked this lesson plan because it involves teamwork and allows room for creativity. It is actually quite a simple lesson plan, but is adequate nonetheless. Jennifer Sykes jsykes@vt.edu

46. 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

View Your Shopping Cart and paypal.com through E-mail webmaster@sherwoodsforest.com Turn geometry practice into art! Creative Constructions contains over 250 designs for drawings using a straightedge and compass. It includes reproducible worksheets, activity directions, and teacher reference guides Creative Constructions Math Number Recognition Pentominoes Math Books For Fun And Games ... Search this site powered by FreeFind

47. 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

Potent problem database, geometry problem name ages topics multiples other standard(s) Comparing solids 8-adult solids, faces, edges, vertices answers Treasure 13-adult coordinates, slopes, equations of lines, coordinates of midpoint, trapezoids approaches, interpretations variables Box nets 5-adult 3-d visualization, cubes, nets, pentominoes, transformations answers, extensions Warehouses 5-adult vertex-edge graphs, degree of vertex, (minimal dominating set), changing inutitions intuitions, approaches Twisted rope 13-adult 3-d visualization, regular polygons, topology, Mobius strips, relatively prime numbers approaches numbers The angle 14-adult complementary, supplementary angles, triangles, quadrilaterals approaches measurement Candy bar 13-adult area, perimeter, solving linear equation in two variables approaches variables, numbers Last modified 8 July, 2003

48. 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

49. 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 http://www.teachingthings.com/SearchByCategorySingle.cfm?task=yes&Category=Mathe

50. 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

Space 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 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 (c) L and D Kelly, 2002

51. 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

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 Goals and objectives: The student will be able to use the Logo programming language to create defined shapes and reorient those shapes. The student will develop spatial visualization skills necessary to solve the five puzzle problems. Math TEKS Problem solving; translations; reflections; rotations; Geometry (Spatial Sense, Conceptualization, Connections, Reasoning, Problem solving) Technology Application TEKS 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.

52. 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

Solution to the /geometry/pentomino problem 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 E-mail to the index to Arlet's home page Linux ... Apache ... ``follow me,'' the wise man said, but he walked behind...

53. 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. http://www.wrsd.net/mathematicsgeometrygrade6.htm

Mathematics Curriculum Guide Geometry and Measurement Grade 6 In the Area of: Outcome (The student will...) Instructional Strategies (The teacher may...) Learning Activities (The student may...) Assessment Extension (The student will...) Resources 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. Students write journal entries showing how they arrived at their approximations for pi : why C = regardless of unit of measurement used; how their methods and approximations compare with those of early civilizations. 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.

54. 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

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

55. 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

P r o b l e m s U n d e r t h e S e a Mathematical Treasure on the Web 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 pedals peg-solitaire Game Theory pegs Pell numbers Number Theory Pell's equation pendulums pennies pentagonal numbers pentagons Geometry pentahedra Solid Geometry pentominoes people people in circle percent problems Algebra percolation problems perfect fields perfect numbers Number Theory perfect partitions perfect triangles perimeter period period 1 period 2 period 9 period n periodic continued fractions periodic functions periodic sequences Algebra permanents Linear Algebra permutation groups Higher Algebra permutations Combinatorics Game Theory Number Theory Probability permuted coordinates permuted digits perpendicular bisectors perpendicular chords perpendicular diagonals

56. 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

Home Conferences Membership Affiliates ... Officers and Contact Information Asil 230 et al Saturday, 10:00-11:30 Pacific Grove Middle School MAKE-IT, TAKE-IT LEVEL: GI TYPE: W Bucky’s Jitterbug Al Mendle A flexible cuboctahedron that transforms into a rigid diamond and much more. LEVEL: GI TYPE: PRS Julie Crozier An ancient art can flourish as a powerful geometry tool. Make your own models for classroom projects and activities. Participation is limited to 25 persons. Materials fees will be charged. LEVEL: GI TYPE: PRS Secret Codes Aren’t Just for Spies Kathleen Concannon This mathematics topic fascinates, fosters algebraic thinking and connects to other important concepts. LEVEL: K-2 TYPE: INT Algebraic Thinking in K-2: What Does It Look Like? Ann Carlyle We will explore grade level appropriate activities in the following areas: equality, using models and representations, variables, generalizations, patterns and relations. TICKET REQUIRED LEVEL: 4-6 TYPE: W Tom Murray Pentominoes make a powerful mathematical connection between measurement and geometry. Discover relationships between perimeter, area and volume as dimensions are increased. LEVEL: K-6 TYPE: INT Place Value to Probability: Lesson Study Refines Teaching Elementary teachers will describe the formation of a successful Lesson Study group and discuss how the experience helped refine their teaching. They will share and demonstrate lessons, inviting experienced and novice lesson studiers to participate.

57. Links For Informal Geometry 3D Drawing and geometry http//forum.swarthmore.edu/workshops/sum98/participants/sanders Java Puzzles pentominoes http//enchantedmind.com/newjava.htm Pent. http://euler.slu.edu/teachmaterial/hyperlinks_for_geometry.html

Faculty Undergraduate Program Graduate Program Course Schedule ... Teaching Resources Links to related topics in Informal Geometry (Courtesy Dr. R Freese) Contents: Area and Volume Circles Crystals Drawing ... Reference (NCTM) Area and Volume 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) Circles 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 Crystals 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 Drawing Isometric Drawing http://forum.swarthmore.edu/workshops/sum98/participants/sanders/Isom.html

58. 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

Faculty Undergraduate Program Graduate Program Course Schedule ... Teaching Resources Worksheets for Informal Geometry Our worksheets can be obtained in Postscript (PS) or Portable Document File (PDF). Geometer's Sketchpad 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 Tesselations: 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.)

59. 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

University of North Dakota Math 377: Geometry for Elementary Teachers Sample Syllabus Prerequisites This course is for elementary education majors only. Course Objectives This course should give the student a stronger understanding of elementary geometry and a better understanding of techniques for teaching geometry in elementary schools. Usual Course Content Course content may vary from instructor to instructor. The course may include the following topics: Introduction to geometry Simple curves Lines and space String designs Geoboard geometry Straw models Angles Polygons and measuring angles Pattern blocks Congruence Constructions Pentominoes Tangrams Supertangrams Lab lesson on diagonals Mira Polyhedron geometry Dodecahedrons by knots Polyhedron rummy Geometry games Geopanes Tessellations Congruence, similarity, and symmetry Paper folding Area and perimeter Circles Networks Minicalculator geometry Students Who May Benefit from This Course This course is for elementary education majors only. When Offered This course is only offered spring semesters. Classroom Procedures Classroom procedures Students with Special Needs Students with special needs Return to list of course syllabi.

60. Didax Educational Resources Paper Workbook Blackline investigations encourage students to explore geometry using butchers pentominoes Group Set, pentominoes Group Set 72 Pieces These 12 http://www.didaxinc.com/shop/searchresults.cfm/GradeID/5/Sort/Item/Order/Asc/Sho

Your browser does not support script items View Cart Checkout Friday, June 11, 2004 Search Products By: Keyword Item Number SEARCH RESULTS Grade: (Items to of New Search All Grades Pre K Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 All Subjects Art and Music Language Arts Math Science Social Studies Themes All Topics All Product Types Books Electronic Learning Games Manipulatives Software Item Name Grades Price Patterns in Mathematics Investigating Patterns in Number Relationships This book is designed to build childrens’ problem-solving and reasoning skills as they explore the ... more info Patty Paper Geometry Blackline investigations encourage students to explore geometry using butchers’ patty paper. This product is a ... more info Patty Paper Geometry Set Blackline investigations encourage students to explore geometry using butchers’ patty paper. Separate 88-page Student Workbook ...

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