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
Mathematics Interactive geometry problems and puzzles. pentominoes Jigsaw puzzle involvingtwelve rectilinear pieces. These pieces constitute all the ways in which five http://www.primaryschool.com.au/mathematics-lessonsresults.php?strand=Space and
Activity 7 There are twelve pentominoes. Use cutout squares or cubes to make all twelve ofthe different pentominoes and sketch the shapes on the grid paper below. http://homepage.mac.com/efithian/Geometry/Activity-07.html
Extractions: Polyominoes and Polyiamonds Polyominoes and polyiamonds are connected arrangements of squares and triangles, respectively. They can be used to explore both reflectional and rotational symmetry, they can be arranged to form other shapes, and they can be extended into three-dimensional shapes to form solid objects. A polyomino is a connected arrangement of squares that satisfies the following conditions: If two squares touch, they must have a side in common, turned, or moved so as to coincide with the other. There is only one domino. There are two trominoes. There are five tetrominoes. Use cut-out squares or cubes to make all five of the different tetrominoes and sketch the shapes on the grid paper below. Label the shapes a, b, c, d, e and find the number of lines of reflectional symmetry and the order of rotational symmetry for each tetromino. Shape Reflectional Rotational a b c d e There are twelve pentominoes. Use cut-out squares or cubes to make all twelve of the different pentominoes and sketch the shapes on the grid paper below. Label the shapes with a letter that looks like the shape and find the number of lines of reflectional symmetry and the order of rotational symmetry for each pentomino.
EDCI5234 Internet Lesson Plans: Geometry And Measurement I chose an activity on symmetry, the beginnings of geometry. The object isto put together as many different pentominoes as possible. http://www.math.vt.edu/people/lloyd/class_home/old/5234geometryplans.html
Boreal Laboratories - Geometry geometry leading provider of educational materials for K-12 schools. Our productsencompass all pentominoes, 6 Rainbow Colors, Set/72 1703505 $17.95 http://boreal.com/category.asp?start=36&c=563865
National Curriculum Network Conference | CFGE to develop spatial reasoning in two and three dimensions, including Soma cubes,pentominoes, fractals, projective geometry, and spatial puzzles. http://cfge.wm.edu/ncn.php
Extractions: Find People Navigate the WM Web Contact the College Prospective Students Parents Current Students Campus Visitors Academics Undergraduate Graduate Administration Admission Athletics Campus Construction Campus Life Economic Development Events/Calendars Financial Aid Human Resources Libraries Office of the President Public Service Research Restructuring Technology myWM National Curriculum Network Conference NCNC 2006 dates March 6-8 About NCNC NCNC 2006 Forms coming in October (thes e require Acrobat Reader available for free from www.adobe.com NCNC 2006 Brochure coming in October
Web Citations - Dissections: Plane & Fancy resources for geometry.(Find under Spatial Sense and Geometric Concepts ) pentominoes Click on pentominoes and select Dissections . http://www.cs.purdue.edu/homes/gnf/book/webref.html
Glencoe Math 2001 - Geometry - Problem Of The Week Chapter 11, Planar pentominoes Pythagoras in 3D Truncated Polyhedra Answer Answer Answer. Chapter 12, The Intersecting Circles http://www.glencoe.com/sec/math/geometry/geo/geo_01/problem.htm
Titles Subjects Grades Call Read-to-Learn The Crayola Counting Middle Grades Math Overhead kit geometry, geometry, Tangrams, pentominoes,6 9, 396. Multicultural Math Lab, geometry, Tangrams, Dice, 4 6, 408 http://library.uncwil.edu/kathrynb/cmcwebpage/CMC Kits/MathKits.htm
Extractions: Titles Subjects Grades Call # Read-to-Learn: The Crayola Counting Book Counting Pre K - 2 Big 1 Part A Read-to-Learn Math Packet: Crayola Counting Book Counting Pre K - 2 Big 1 Part B Read-to-Learn: Ten Monsters in a Bed Counting, Number Operations Pre K - 2 Big 2 Part A Read-to-Learn Math Packet: Ten Monsters in a Bed Counting, Number Operations Pre K - 2 Big 2 Part B Read-to-Learn: Little Number Stories Counting Pre K - 2 Big 3 Part A Read-to-Learn Math Packet: Little Number Stories Counting Pre K - 2 Big 3 Part B Read-to-Learn: Let's Measure It Measuring Pre K - 2 Big 4 Part A Read-to-Learn Math Packet: Let's Measure It Measuring Pre K - 2 Big 4 Part B Read-to-Learn: Lunch with Cat and Dog Pre K - 2 Big 5 Part A Read-to-Learn Math Packet: Lunch with Cat and Dog Pre K - 2 Big 5 Part B Timing It Right Game Telling Time - digital and analog ages 7+ Counting Eggs Counting Pre K - 2 Combo Money Kit Play money: bills and coins K - 8 Problem Solving: Set B Problem Solving Purchase Financial decisions, Strategy, Money Math Chase Middle School Game Money, Measurement, Numeration
Math - Interactive Sites Tangrams, pentominoes, graphs, scatterplot, medians, tiling the plane, 3D pentominoes Unfolding Polyhedra Polyhedra Tessellations geometry http://www.globalclassroom.org/ecell00/javamath.html
Extractions: Teacher Resources (by content standards) Grade Level Skills Help Pages Language Arts, Math, Science, Social Studies Treasure Chest of technology resources Math Multiplication Hidden Picture ArithmAttack basic operations: +, -, x, / Create a Graph Make your dream house! www.smallblueprinter.com Math Playground - a math learning site for students in K-6. Find the area and perimeter of rectangles Count Us In - Games to help younger students understand basic math concepts. From Australia. Temperature Quiz - from the BBC Flips, slides and turns Decimal number line HomeSchool Math - links to many activities on all school levels! Oswego City School District (NY) Educational Math Games Math Zone McGraw-Hill Mathematics - Click your book cover! Visualize Multiplication Interactive Examples of NCTM Standards - excellent for all grades! Illuminations from NCTM Interactive Math - (Geoboard, Tangrams, Pentominoes, graphs, scatterplot, medians, tiling the plane, and more) Utah State University Function Machine - excellent!
Growing A Thematic Interdisciplinary Unit After a number of years happily conducting my architecture and geometry unit, using pattern blocks, geoboards, pentominoes and solid geometric shapes http://www.ncrel.org/mands/docs/5-7.htm
Extractions: by Chris Davis/Davis Educational Media Oak Park, Illinois For twenty years, as a third- and fourth-grade teacher in Oak Park, Illinois, I incorporated the study of Frank Lloyd Wright's architecture with the Geometry unit found in the back of our math textbook. Since Frank Lloyd Wright had done much of his early work here in Oak Park and his Prairie Style architecture identified and reflected geometric shapes, it seemed logical to tie these two units together. In most middle-grade math classes, geometry is overlooked because we teachers concentrate on reviewing the basic facts, teaching the regrouping process of addition and subtraction, and introducing two-place multiplication and long division. Geometry is reserved as an enrichment unit to be taught, if we have time, at the end of the year. I decided to reverse this timetable and begin each year with the combined architecture and geometry units. Not only did this schedule ensure that we actually got to geometry - the fall weather was also very pleasant for our walks to the Frank Lloyd Wright Home and Studio, the Unity Temple, and the Historic District in Oak Park. It was fun to stroll in the vicinity of our school and observe geometric shapes, building materials, and the various roof and window styles of the structures in the neighborhood. After a number of years happily conducting my architecture and geometry unit, I took a math methods class that showed me I needed to make further changes. The professor read the following quote from
Solution For /geometry/pentomino Solution to the /geometry/pentomino problem. I ve seen several different namingschemes used for pentominoes. This is the system I m using (I think only F 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
Pentomino I ve seen several different naming schemes used for pentominoes. This is thesystem I m using (I think only F N require a bit of imagination) FF I L N PP http://rec-puzzles.org/new/sol.pl/geometry/pentomino
Exemplars: State Correlations - Colorado geometry and Measurement (Content Standards 4 5) Using three pentominoes,students make as many shapes possible with 12 sides or less. k2, geometry http://www.exemplars.com/resources/alignments/state_co.html
Extractions: @import "../../css/global.css"; Click on a state below to access its standards: Colorado Delaware Illinois Maine Massachussetts ... Washington All of Exemplars tasks meet the standards for problem solving, language and communication. Grade Knowledge and Skills Number Task Title Exemplars Description Exemplars k-2 Tasks Number Sense (Content Standard 1) k-2 Number Sense Pieces of Pizza Pizzas are cut in three ways: in 4 slices, 6 slices, and in 8 slices. Students determine how to share the pizzas with six of their friends. k-2 Number Sense Octopus Students determine the number of tentacles on four octopuses. k-2 Number Sense Ski Slope Given a number of tracks, students determine the number of skiers and snow boarders that went down the trail. k-2 Number Sense Marshmallow Peeps All in All Students determine the length of a train of 2-inch marshmallow peeps, where each peep is separated by 1/2 inch. k-2 Number Sense Average Number of Letters Students determine the average number of letters in five names.
Exemplars: State Correlations - Illinois geometry and Measurement (Illinois State Goals 7 9) K2, geometry andMeasurement, A067, Pentomino Problem, Using 3 pentominoes, students make as many http://www.exemplars.com/resources/alignments/state_il.html
Extractions: @import "../../css/global.css"; Click on a state below to access its standards: Colorado Delaware Illinois Maine Massachussetts New York Pennsylvania ... Washington All of Exemplars tasks meet the standards for problem solving, language and communication. Grade Knowledge and Skills Number Task Title Exemplars Description Exemplars K-2 Tasks Statistics and Probability (Illinois State Goal 10) K-2 Statistics and Probability Chip Chance Students determine the number of color child in a bag based on sampling of data. K-2 Statistics and Probability K-2 Statistics and Probability Number Cube Game Students determine which sum is most likely when rolling two number cubes. K-2 Statistics and Probability Snow Play Given a number of sleds that carry different numbers of children, students determine the number of sleds needed for the class. Numeration and Operations (Illinois State Goal 6) K-2 Numeration and Operations Pieces of Pizza Pizzas are cut in three ways: in 4 slices, 6 slices, and in 8 slices. Students determine how to share the pizzas with 6 of their friends.
Geometry - Science Kit And Boreal Laboratories geometry a leading provider of educational materials for K-12 schools pentominoes, 6 Rainbow Colors, Set/72 pentominoes, 6 Rainbow Colors, Set/72 http://sciencekit.com/category.asp?start=36&c=564911
Problem Solving With Pentominoes translations; reflections; rotations; geometry (Spatial Sense, Conceptualization, The students use a set of pentominoes to analyze the problem. 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.
Extractions: Skip Navigation You Are Here ENC Home Curriculum Resources Search the Site More Options Don't lose access to ENC's web site! Beginning in August, goENC.com will showcase the best of ENC Online combined with useful new tools to save you time. Take action todaypurchase a school subscription through goENC.com Classroom Calendar Digital Dozen ENC Focus ... Ask ENC Explore online lesson plans, student activities, and teacher learning tools. Search Browse Resource of the Day About Curriculum Resources Read articles about inquiry, equity, and other key topics for educators and parents. Create your learning plan, read the standards, and find tips for getting grants. Grades: Using this puzzle applet, the student selects four boxes on an eight-by-eight grid to remain blank and is challenged to completely cover the remainder of the grid with the 12 non-overlapping pentomino pieces. The 12 pentomino pieces represent all the possible distinct shapes that can be formed by connecting five congruent squares.
Perplexing Problems and famous geometric puzzles such as tangrams and pentominoes. geometry andart are explored through compass designs, tessellations and three http://www.sachem.edu/gate/Gate Web Page/perplexi.html
Extractions: Perplexing Problems An exploration of problem solving, arithmetic sequences, and famous geometric puzzles such as tangrams and pentominoes. Geometry and art are explored through compass designs, tessellations and three dimensional construction of polyhedrons. CLICK HERE TO VIEW DESIGNS CREATED BY STUDENTS IN 2000-2001 Return to Thematic Units Return to Sachem's Home Page
