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w w w.MakingMathReal.orgThe 100Multiplication FactsPart A: Imaging the Times TablesSYMBOL IMAGING DEVELOPMENTWorksheet MastersDAVID BERG, EDUCATIONAL THERAPISTCreator of the Making Math Real Multisensory Structured MethodsFounder & Director of the Making Math Real InstituteVersion 3.0

Guidelines and Copyright PolicyThe contents of this worksheet masters binder are highly specialized and require specificMaking Math Real instruction in using the materials correctly. Consequently, this book isonly available to course participants instructed in its use.The worksheet masters in this book are ideal for supplementing any and all textbooks, andprovide the Making Math Real course participant with specific and prescriptive practicedesigned to maximize the development of the associative and cognitive tools of centralprocessing, retention, and concept-procedure integration.All problem sets have been carefully designed to include all content combinations,configurations, increments and levels to ensure maximum connection and comprehension.PLEASE NOTE: The use of these materials requires guided instruction from the educatorto guarantee student success, and is never intended to be used as unsupported drill.Adhere to Copyright LawPermission to Copy is granted only to the purchaser of this book -- Making Math Realauthorizes the use and duplication of the materials in this worksheet masters binderfor educational use in the classroom or private practice, only. Additional requests forpermission to copy these materials must be made in writing to: Making Math Real,5935 Alhambra Ave, Oakland, CA 94611 or info@makingmathreal.org.(Copyright 1996 David Berg / Copyright 2012 Making Math Real)All rights reserved.WARNING:Further distribution or copying of these materials is unlawful and expresslyprohibited. In addition, we do not endorse any third party presentations of Making MathReal because we cannot control for its quality. The Making Math Real Institute is a registeredtrademark, and as such, is the sole provider of its content.

AcknowledgementsI would like to acknowledge the invaluable and tireless efforts of MichaelCurry, ET. His commitment, patience, tenacity, and understanding of MakingMath Real are responsible for the formatting of my ideas and designs intoa product ready for publication. In addition, I would like to thank KarenZuniga, ET, for her significant time and energy in editing and reviewing thisbook.David Berg, Educational TherapistCreator of the Making Math Real Multisensory Structured MethodsFounder & Director of the Making Math Real Institute

IMPORTANT NOTE TO THE TEACHERON PROPER USAGE OF THIS BOOKThe design and intent of this book is for students to develop automaticity with the 100multiplication facts. The intensive and comprehensive incremental structures contained in thefollowing 244 pages have been expressly created to help students benefit from the organizingsystems of each multiplication fact configuration to mentally combine all of the 100 multiplicationfacts with maximum efficiency and minimum cognitive demand. Students’ mental fluency withthe 100 multiplication facts will develop as the direct result of the repeated structured practiceof imaging the specific processing connections supporting the multiplication fact configurationstaught in the Making Math Real: 9 Lines seminar.The extensive volume of incremental practice in this book is intended to enable the educatorto be prescriptive for students’ indicated areas of practice – not to assign pages of unstructureddrill. USING THIS BOOK DISASSOCIATED FROM ITS DESIGN AND INTENT WILLNOT HELP STUDENTS LEARN THE 100 MULTIPLICATION FACTS.Furthermore, it is NOT intended that students complete every page of this book unless indicatedby their processing needs.

THE 100 MULTIPLICATION FACTSTable of ContentsLEVELED WORKSHEETS9 Lines Chart . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1I. 2s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . . . . 11Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . . . . 20Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . . 24Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . . . 25II. 3s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . . . .28374046475051III. 4s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . .54636672737677 1996, 2012 by David Berg

THE 100 MULTIPLICATION FACTSTable of ContentsLEVELED WORKSHEETSIV. 5s TABLE“The Diamond”: Factor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95“The X”: Factor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113“The Diamond and the X” (all the 5s products): Factor x Factor . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . .116125128134135138139V. 6s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . .142151154160161164165 1996, 2012 by David Berg

THE 100 MULTIPLICATION FACTSTable of ContentsLEVELED WORKSHEETSVI. 7s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . .168177180186187190191VII. 8s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . .194203206212213216217VIII. 9s TABLEFactor x Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Factor x Factor: standard form, number sentence, equality reversed . . . .Missing Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Missing Factor: standard form, number sentence, equality reversed . . . .Reconstructing Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Mixed Formats for Reconstructing Factors: standard form, number sentence, equality reversed . .Mixed Forms and Formats: factor x factor, missing factor, reconstructing factors . . . . . . . .220229232238239242243 1996, 2012 by David Berg

LEVELED WORKSHEETS IV. 5s TABLE “The Diamond”: Factor x Factor . . . . . . . . . . . . . . . . . . . . . .

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