21. SuccessLink-Teams Problem Solving with pentominoes Students create pentominoes and use the pentominoesto explore tessellation. geometry and Number Students build rectangles http://www.successlink.org/teams/t5.html

22. Geometry And Spatial Sense sheets. Excellent for developing Spatial Sense and TransformationalGeometry. Includes 18 sets of pentominoes in 3 buckets. Extra http://www.renfrew.edu.on.ca/curriculum/geometry.htm

Geometry and Spatial Sense Expectations covered: Grade 7 build three-dimensional figures and objects from nets; create and analyze designs that include translated, rotated, and reflected two-dimensional images using concrete materials and drawings, and using appropriate computer applications; construct and analyze tiling patterns with congruent tiles; Grade 8 sketch and build representations of three-dimensional figures Triple ‘A’ Geometry Binder Includes standards, activities, and assessment / review and teacher notes. The activity book is a good way of building the scaffolds for the rest of the unit. Tangram and Pentominoes Binder and Pentomino sets. Activity sheets and assessment strategies with answers and self-evaluation sheets. Excellent for developing Spatial Sense and Transformational Geometry. Includes 18 sets of pentominoes in 3 buckets Extra Tangrams sets can be made out of paper/card (See page 4 of binder) Mira Activity Book Miras not included) Symmetry, polygons, motion geometry Polygons Pack: Properties of polygons.

23. Michelle Raymond's Homepage At The Geometry Center to my home page at the geometry Center. This is my personal homepage. InterestsI hope to address soon. (note soon is a relative term.). pentominoes in a 3 x http://www.geom.umn.edu/locate/raymond/

24. Anna Gardberg's Geometry Center Homepage Do you like pentominoes ? I am a participant in the Research Experience for UndergraduatesProgram at The geometry Center, where I am on the KaleidoTile http://www.geom.umn.edu/~summer95/gardberg/anna.html

25. Grade 3 / Geometry Updated 11/14/97. (3.9) geometry and spatial reasoning. Students use five squaretiles 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.

26. Geometry Portfolio geometry Portfolio (Portfolio 4). EDEC 3100. Fall, 2001. a) What is a pentomino(in your own words)? b) Outline all 12 pentominoes on the given graph paper. http://www.education.gsw.edu/watford/geometryportfolio4.htm

Geometry Portfolio (Portfolio #4) EDEC 3100 Fall, 2001 Pentomino Activity: a) What is a pentomino (in your own words)? b) Outline all 12 pentominoes on the given graph paper. c) Cut out the 12 pentominoes. Make rectangles that are 3 x 20, 4 x 15, 5 x 12, and 6 x 10. Sketch these rectangles (please include the outline of the pentominoes). d) Find one more activity with pentominoes that you could use in a P-5 class. Mira Activity: Take the letters of the alphabet, A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a) Determine which letters have lines of symmetry (vertical and horizontal). Discuss which lines of symmetry you have determined using the mira. b) Use a mira to construct a perpendicular bisector of a line. Graphing calculator activity: Follow the directions to complete this exercise. Press the Draw key. Scroll down to Clrdraw. Press enter twice. On the home screen, you should see Clrdraw done. Now press the WINDOW key. Set the window as follows: Xmin = Xmax = 10 (Don’t worry about the next value) xscl = 1 ymin = ymax = 10 yxcl = 1 Press 2 nd quit.

27. Tarquin Maths Tangrams, Pentominoes And Pentacubes known as pentominoes. It provides an enormous range of two and threedimensionalpuzzling. £6.50 (+ VAT). The Tangrams Project DIME practical geometry Geoff http://www.tarquin-books.demon.co.uk/books/tarquinmathstang.html

Tangrams, Pentominoes and Pentacubes Send for our illustrated catalogue Pentominoes 0 906212 57 X Jon Millington If you take five squares of the same size and join them edge to edge, the resulting shape is called a Pentomino. There are 12 different pentominoes and the number of patterns you can make with them is very large. This book shows some of the possibilities, poses some problems and suggests fruitful lines of investigation. Complete with sets of pentominoes in two colours to cut out and an envelope in which to keep them. Rainbow Pentominoes Sturdy and robust for classroom use, these six complete sets of pentominoes in six different colours are an ideal resource for work on pentominoes. They come packed into a strong drum. Tangrams-330 Puzzles Ronald Read A fine collection of designs and diagrams which can be created with the normal set of 7-piece tangrams. Complete with solutions. Wooden Tangrams This ancient Chinese puzzle is the opposite of a modern jig-saw. For the aim is not to find the one correct position for each piece, but to generate as many interesting shapes as possible from them. This set of seven tangram shapes is made in hardwood. Wooden Pentacubes A hardwood set of twelve pieces comprising all the possible single layer combinations of five connected cubes, usually known as pentominoes. It provides an enormous range of two and three-dimensional puzzling.

28. Bookmarks For HS Geometry Maria Gaetana Agnesi Mobius NonEuclidean geometry Ptolermy Pythagoras of Forum -Suzanne Alejandre Tessellations PentoDico pentominoes Perpendicular Bisector http://www.dwighthigh.k12.il.us/users/BUTTERBC/Lessons/Geo.htm

29. Shapes/Geometry Geo2A Intermediate $120 + s/h. All items from Basic, plus a teacher vest,a set of tangrams, a set of pentominoes , and three children's books http://www.whittskits.com/shapes_geometry.htm

Whitt's Kits Shapes All Around Us K-2: Basic...$60 + s/h Intermediate...$120 + s/h All items from Basic, plus a teacher vest, a set of tangrams, a set of pentominoes , and three children's books: Shapes, Shapes, Shapes by Tana Hoban My Shapes by Rebecca Emberley Grandfather Tang's Story by Ann Tompert Super-Duper...$250 + s/h All items from the Intermediate, plus a poster, a set of concentration cards, and 10 children's books: The Greedy Triangle by Marilyn Burns Lots and Lots of Zebra Stripes: Patterns in Nature by Stephen Swinburne Mr. Koala's Steam Train by Pigs on the Ball: Fun with Math and Sports by Amy Axelrod The Shape of Things by Dayle Ann Dodds The Silly Story of Goldilocks and the Three Squares by Grace Maccarone So Many Circles, So Many Squares by Tana Hoban Three Pigs, One Wolf and Seven Magic Shapes by Grace Maccarone Triangle for Adaora: An African Book of Shapes by Ifeoma Onyefulu The Wing on a Flea: A Book About Shapes by Ed Emberley Gr. 2-4:

30. NCTM Illuminations Lesson Plan 1986) b. Boxes, Squares, and Other Things (Walter, 1996) c. pentominoes Revisited(Onslow, 1990 A lesson for the middle grades on the geometry of odds and evens http://illuminations.nctm.org/lessonplans/6-8/geomiddlegrades/

Home Pre-K - 2 Across Standards ... Inquiry NCTM Publication-Based Lesson Plan Geometry in the Middle Grades Overview : In this lesson, students develop informal geometry and spatial thinking. They are given opportunities to create plans, build models, draw, sort, classify, and engage in geometric and mathematical creativity through problem solving. Mathematical Learning Objectives: To provide hands-on experiences in constructing two- and three-dimensional shapes. To develop the ability to visualize two- and three-dimensional shapes and to recognize them in the environment. To observe and identify properties related to two- and three-dimensional shapes. To develop and review geometry vocabulary and concepts and provide opportunities for students to converse about geometric ideas. To develop and assess thinking skills such as sorting, classifying, and making and testing conjectures. To investigate properties of geometric shapes by using computer technology. To engage in explorations designed to enhance spatial visualization skills. NCTM Standards: Geometry: http://standards.nctm.org/document/chapter6/geom.htm

31. Didax Educational Resources Problem Solving with pentominoes Written in accordance with NCTM Standards, thisactivity book explores spatial visualization, tessellations, geometry and http://www.didaxinc.com/shop/searchresults.cfm/SubjectID/3/TopicID/31/Sort/Item/

Your browser does not support script items View Cart Checkout Thursday, April 10, 2003 Search Products By: Keyword Item Number SEARCH RESULTS Topic: Geometry (Items to of New Search All Grades 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 Spatial Relations Tessellations, Graphs, 3-D Shapes and More! Learning about spatial relations is a critical math skill. This skill helps build a strong ... more info Spatial Relations Symmetry, Transformations, Modeling and More! Learning about spatial relations is a critical math skill. This skill helps build a strong ...

32. Mathematics.html Pattern Block Game. Tangrams Games. Introduction to pentominoes. Use pentominoes.eThemes Angles and Triangles. geometry Super Resource. geometry Quiz. http://schoolweb.missouri.edu/ashland.k12.mo.us/chance/mathematics.html

Math Textbook Flash Cards for Kids Fun Brain Coordinates ... Webmath homework help Place Value Fun Fourth Grade Math Practice Change Maker Power Point Math Tutorials ... Excellent Math Site Geometry Figures and Polygons Pictures of Shapes Geometry Information Interactive Geometry Info/ Quizes ... Geometry Quiz Time and Temperature Time/ Elapsed Teaching Time Telling Time eThemes Temperature Measurement Units of Measurement Measure It -Game Fractions All About Fractions Visual Fractions Fraction Mystery Picture Fresh Baked Fractions ... Fractions PowerPoint

33. Mathematics - Geometry - Problem Of The Week Chapter 11, Planar pentominoes Pythagoras in 3D Truncated Polyhedra, Answer AnswerAnswer. Chapter 12, The Intersecting Circles The Gothic Window, Answer Answer. http://www.glencoe.com/sec/math/geometry/geo/problem.htm

Enhance your classroom with critical-thinking problems correlated to the content of our textbooks. Nine of the thirty-six problems available are included here. Select a problem below and print it to use in class. Chapter 1 The Supernova The Moving Dominoes The Shortest Distance Answer ... Answer Chapter 2 Miquel's Theorem The Curious Cube Aristotle's Wheel Answer ... Answer Chapter 3 A Domino Knot The Extra Square One Into Three Answer ... Answer Chapter 4 The Amazing Triangle The Cuboctahedron Answer Answer Chapter 5 The Nine Puzzle Are All Triangles Isosceles? A Möbius Trisection Answer ... Answer Chapter 6 Square Assembly T-Squares Checks Into Stripes Answer ... Answer Chapter 7 The Divisible V The Work Problem A Logarithmic Spiral Answer ... Answer Chapter 8 Squaring a Greek Cross Pythagoras Without Squares A Square Proof Answer ... Answer Chapter 9

34. Mathlinks Intro on pentominoes (I). 3D pentominoes (I). Use pentominoes (G). Pattern BlockFun (G). What are Tessellations? (L). Good Resource for geometry. February http://emintsteachers.more.net/mccutchm/teacherlink/mathlinks.htm

Math Links August (Basic Facts) Oswego Test Prep great stuff - ed helper Worksheets for Math (R) Wonderful Math Sites (R) Review Sheet for Basic Facts creator Interactive Math Oswego Test Prep great stuff - ed helper (R) Worksheets for Math (R) Wonderful Math Sites (R) Review Sheet for Basic Facts creator October Oswego Test Prep great stuff - ed helper (R) Worksheets for Math (R) Wonderful Math Sites (R) Review Sheet for Basic Facts creator November (Graphing) Oswego Test Prep great stuff - ed helper (R) Worksheets for Math (R) Worksheets for Math (R) Wonderful Math Sites (R) Review Sheet for Basic Facts creator Oswego Test Prep All Measurement S.B. (I) Math Powerpoints (I) Area Using Square Units (I) Area,Perimeter, Volume with Metric

35. Internet Geometry Content 2. pentominoes Again. After reviewing the use of pentominoes, students will composea song about pentominoes and their alphabet names. 3. 5. geometry Terms. http://www.coloradocourseware.com/manuals/curr/ig.htm

A+dvanced Learning System INTERNET GEOMETRY GRADE LEVELS 9-12 LESSON TITLE LESSON CONTENT Pentominoes Students will study the use of pentominoes in board games. They will then write an essay about the use of pentominoes in board games. Pentominoes Again After reviewing the use of pentominoes, students will compose a song about pentominoes and their "alphabet" names. Roller Coasters Students will investigate the physics and mathematics used in roller coasters. They will prepare a report discussing the physics of roller coasters. Pendulum Students will explore the patterns of the pendulum. They will write a report about amusement park rides that are based on the pendulum. Geometry Terms Students will learn basic geometric terms. They will identify common examples of points, lines and planes. Postulates Students will study postulates and their applications in geometry. The Pythagorean Theorem Students will investigate practical applications of the Pythagorean Theorem. They will use the theorem to calculate lengths of connecting pipes. Right Triangles Students will study right triangles and their properties. They will then create a right triangle using a paper folding.

36. EDCI5234 Internet Lesson Plans: Geometry And Measurement abailey@vt.edu) I chose an activity on symmetry, the beginnings of geometry. JasonBrennan (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

37. Math Sites Before Internet Lesson K2 Geometric Terms geometry Through Art Pattern Blocks Pattern Blocks Patterns Relationships pentominoes 3D pentominoes http://home.attbi.com/~SmithHQ/Math.html

Math Sites NCTM Illuminations Quia Abacus Abacus Abacus How to use the Abacus Virtual Abacus ... Decimals to Per Cents Division Division Long Division w/ Remainders Long Division Mathwork Division ... Figure This! Math Challenges for Families Fraction Fraction Frenzy Fractionator Fractions Fresh Baked Fractions ... Fraction Track Geometry Geometry Flash Cards Geometry Glossary Geometry ThinkQuest Graph Games ... Geometry Through Art Graphs Graph It! Graph Challenge Graph Types Create a Graph ... MathMastery.com Money Money Counting Game Money Drills Learn about Money Million $ Lesson ... Grocery Store Estimation Multiplication Multiplication Mystery Multiplication Applet Megamath Multiplication.com ... Super Brainer Math Mystery Symmetry Tangrams Tangrams Constructing Tangrams Tom Scavo's Tangrams Exploring Tangrams ... Tesselation Tutorials Time Time Experience It's All about Time Just in Time Kid Klok ... Zoom Sharks Math for 1st grade

38. PREL.ORG - Pacific Resources For Education And Learning Programs Defining Polygons; Transformation; Tessellating Shapes; Problem Solvingwith pentominoes; geometry and Number Properties of Polyhedrons; TwoDimensional http://www.prel.org/programs/prelstar/27261.31.asp

Educational Technology Health Professional Development School Reform ... : Pacific Resources for Education and Learning Star Schools A Pacific Islands Distance Learning Program Overview Staff PRELSTAR Media Videotape Programs ... Geometry Shapes in Space... Mathematics/Science Geometry Shapes in Space: Geometry Concepts for Primary Grades Geometry Shapes in Space: Geometry in my World Geometry Shapes in Space: Teaching Geometry Concepts Geometry Shapes in Space: Turn On to Geometry ... page 3 This module helps students develop an appreciation of geometry as a means of describing the physical world. The programs highlight identifying, describing, comparing, and classifying geometric figures; developing spatial sense; understanding and applying geometric properties and relationships; and exploring symmetry. Multiple technologies are integrated into the instruction, including online resources. Grade Level : Grades 3-4 Subject Area : Mathematics Special Features Provides a variety of strategies and resources Introduces online resources Provides for active viewing and student participation Includes professional development support programs Program Length : 8 programs, 45 minutes each

39. Math 377: Geometry For Elementary Teachers measuring angles Pattern blocks Congruence Constructions pentominoes Tangrams SupertangramsLab 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.

40. 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

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