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Visual mathematics 1 guide web

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Linda Cooper Foreman and Alber t B Bennett, Jr COURSE I Visual Mathematics, Course I by Linda Cooper Foreman and Albert B Bennett Jr Visual Mathematics, Course I is followed by: Visual Mathematics, Course II Math Alive! Visual Mathematics, Course III Copyright ©1995 The Math Learning Center, PO Box 12929, Salem, Oregon 97309 Tel 503 370-8130 All rights reserved Produced for digital distribution November 2016 This document was developed from printed archival masters As a result, some PDF functionalities, such as editing, copying, and text search, are not available The Math Learning Center grants permission to classroom teachers to reproduce blackline masters and student activity pages (separate documents) in appropriate quantities for their classroom use This project was supported, in part, by the National Science Foundation Opinions expressed are those of the authors and not necessarily those of the Foundation Prepared for publication on Macintosh Desktop Publishing system Printed in the United States of America QP235, QP236, QP237 P1002 DIGITAL2016 ISBN 1-886131-27-9 Contents vii INTRODUCTION LESSON 1  Introduction to Visual Mathematics LESSON 2  Basic Operations 11 LESSON 3  Visualizing Number Relationships 27 LESSON 4  Communicating Mathematics 39 LESSON 5  Visual Reasoning 49 LESSON 6  Odd & Even Numbers 59 LESSON 7  Factors & Primes 71 LESSON 8  Fraction Concepts with Egg Cartons 87 LESSON 9  Building Intuitions About Fraction Operations 101 LESSON 10  Averaging Two Numbers 113 LESSON 11  Averaging Several Numbers 123 LESSON 12  Probability 135 LESSON 13  Base Five Grouping & Numeration 145 LESSON 14  Place Value & Numeration 155 LESSON 15  Geoboard Figures 165 LESSON 16  Congruence & Symmetry 175 LESSON 17  Pattern Block Trains 189 LESSON 18  Pattern Block Perimeters 199 LESSON 19  Geoboard Area I 209 LESSON 20  Diagrams & Sketches 223 LESSON 21  Linear Measure 239 LESSON 22  Dimension & Area I 249 LESSON 23  Addition & Subtraction Concepts 261 LESSON 24  Multiplication & Division Concepts 271 LESSON 25  Whole Number & Decimal Numeration 281 LESSON 26  Whole Number & Decimal Addition & Subtraction 297 LESSON 27  Inventing Addition & Subtraction Algorithms 311 LESSON 28  Division Concept of a Fraction 325 LESSON 29  Relationships Between Decimals & Fractions 339 LESSON 30  Rounding & Ordering Numbers 353 (Continues on next page) Contents (continued) LESSON 31  Estimating Sums & Differences 367 LESSON 32  Angle Measurement 383 LESSON 33  Graphing 397 LESSON 34  Graphing & Decision Making 411 LESSON 35  Geoboard Area II 423 LESSON 36  Dimension & Area II 435 LESSON 37  Whole Number & Decimal Multiplication 449 LESSON 38  Whole Number & Decimal Division 467 LESSON 39  Modeling Percent 483 LESSON 40  Linear Model for Fractions 497 LESSON 41  Area Model for Fractions 509 LESSON 42  Modeling Fraction Operations 519 LESSON 43  Linear & Area Measure 531 LESSON 44  Inventing Algorithms for Fraction Operations 543 LESSON 45  Sampling, Confidence, & Probability 551 MATERIALS INDEX Materials NECESSARY MANIPULATIVES AND MATERIALS INSTRUCTIONAL MATERIALS Visual Mathematics, Course I (Lessons 1-45) Starting Points for Implementing Visual Mathematics Visual Mathematics, Course I Blackline Masters Blackline Masters include Student Activities Grids Segment Strips Print Masters MANIPULATIVES—MAKE FROM BLACKLINE MASTERS OR PURCHASE FROM MLC Base Five Area Pieces Base Ten Area Pieces sheet per student sheet per student Base Five Linear Pieces Base Ten Linear Pieces set per 36 students set per 36 students OVERHEAD ITEMS—MAKE FROM BLACKLINE MASTERS OR PURCHASE FROM MLC Base Five Area/Linear Pieces, Overhead Pattern Blocks, Overhead set of each per teacher Standard set of 120 blocks Base Ten Area/Linear Pieces, Overhead Colored Tiles, Overhead set of each per teacher 40 1-inch tile in colors Segment Strips, Overhead set per teacher MANIPULATIVES AVAILABLE FROM MLC Cubes, Wood (3⁄4" or 2-cm) Colored Tile 120 cubes About 1,200 1-inch tiles in colors Dice, 6-sided Geoboards, Clear dice per student and teacher Linear Pieces (1-inch red) Coffee Stirrers About 120 pieces About 60 stirrers Large Linear Unit Pieces (2-cm black) Overhead Pens set per teacher set per teacher Game Markers Rulers bag per 15 students per student Pattern Blocks Standard set of 250 blocks Visit catalog.mathlearningcenter.org to order these and other materials MATERIALS NOT AVAILABLE FROM MLC Blank Transparencies Scissors Yarn or String Poster Paper Tape, Glue, Glue Sticks Colored Markers Pom-Poms About 48 small pom-poms OPTIONAL MATERIALS ADDITIONAL VISUAL MATHEMATICS TEXTS Visual Mathematics, Course I Student Activities Packet Visual Mathematics Student Journal VIDEOS FROM MLC Math and the Mind’s Eye Video A Change of Course: Implementing Visual Mathematics in the Classroom Video MATERIALS AVAILABILITY AS OF NOVEMBER 2016 Visual Mathematics, Course I / Appendix–1 ... LESSON 12   Probability 13 5 LESSON 13   Base Five Grouping & Numeration 14 5 LESSON 14   Place Value & Numeration 15 5 LESSON 15   Geoboard Figures 16 5 LESSON 16   Congruence & Symmetry 17 5 LESSON 17   Pattern... Primes 71 LESSON 8  Fraction Concepts with Egg Cartons 87 LESSON 9  Building Intuitions About Fraction Operations 10 1 LESSON 10   Averaging Two Numbers 11 3 LESSON 11   Averaging Several Numbers 12 3.. .Visual Mathematics, Course I by Linda Cooper Foreman and Albert B Bennett Jr Visual Mathematics, Course I is followed by: Visual Mathematics, Course II Math Alive! Visual Mathematics,

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