Visual Mathematics Course I - The Math Learning Center · Visual Mathematics Student Journal VIDEOS...
Transcript of Visual Mathematics Course I - The Math Learning Center · Visual Mathematics Student Journal VIDEOS...
L i n d a C o o p e r Fo r e m a n a n d A l b e r t B . B e n n e t t , J r .
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
ContentsINTRODUCTION vii
LESSON 1 Introduction to Visual Mathematics 1
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
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(Continues on next page)
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
Contents (continued)
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Visual Mathematics, Course I / Appendix–1
NECESSARY MANIPULATIVES AND MATERIALS
MANIPULATIVES—MAKE FROM BLACKLINE MASTERS OR PURCHASE FROM MLC
ADDITIONAL VISUAL MATHEMATICS TEXTS
Visual Mathematics, Course I Student Activities PacketVisual Mathematics Student Journal
VIDEOS FROM MLC
Math and the Mind’s Eye VideoA Change of Course: Implementing Visual Mathematics in the Classroom Video
MATERIALS NOT AVAILABLE FROM MLC
INSTRUCTIONAL MATERIALS
Visual Mathematics, Course I (Lessons 1-45)Starting Points for Implementing Visual MathematicsVisual Mathematics, Course I Blackline Masters
Blackline Masters include Student Activities Grids.
Segment Strips Print Masters
Base Five Area Pieces 1 sheet per student
Base Five Linear Pieces 1 set per 36 students
Base Ten Area Pieces 1 sheet per student
Base Ten Linear Pieces 1 set per 36 students
MANIPULATIVES AVAILABLE FROM MLC
Cubes, Wood (3⁄4" or 2-cm)120 cubes
Dice, 6-sided8 dice
Linear Pieces (1-inch red)About 120 pieces
Large Linear Unit Pieces (2-cm black)1 set per teacher
Game Markers1 bag per 15 students
Pattern BlocksStandard set of 250 blocks
Colored TileAbout 1,200 1-inch tiles in 4 colors
Geoboards, Clear1 per student and teacher
Coffee StirrersAbout 60 stirrers
Overhead Pens1 set per teacher
Rulers1 per student
Blank TransparenciesScissorsYarn or String
Poster PaperTape, Glue, Glue SticksColored Markers
Pom-Poms About 48 small pom-poms
Materials
OPTIONAL MATERIALS
Visit catalog.mathlearningcenter.org to order these and other materials.
OVERHEAD ITEMS—MAKE FROM BLACKLINE MASTERS OR PURCHASE FROM MLC
Base Five Area/Linear Pieces, Overhead1 set of each per teacher
Base Ten Area/Linear Pieces, Overhead1 set of each per teacher
Segment Strips, Overhead1 set per teacher
Pattern Blocks, OverheadStandard set of 120 blocks
Colored Tiles, Overhead40 1-inch tile in 4 colors
MATERIALS AVAILABILITY AS OF NOVEMBER 2016