Vedic Math Teachers Manual, Volume 1, Elementary

India: Motilal Banarsidass. 2005. F First Edition. H Hard Cover. New. Contents:PREFACE;LESSON 1 COMPLETING THE WHOLE;Introduction The Ten Point Circle; Multiples of Ten; Deficiency from Ten; Deficiency and Completion Together Mental Addition; Completing the Whole; Columns of Figures; By Addition and By Subtraction; Subtracting Numbers Near a Base; LESSON 2 DOUBLING AND HALVING: Doubling; Multiplying by 4, 8 Halving; Splitting Numbers; Dividing by 4, 8; Extending your Tables; Multiplying by 5, 50, 25 Dividing by 5, 50, 25; Dividing by 5; Dividing by 50, 25; LESSON 3 DIGIT SUMS: Adding Digits; The Nine Point; Circle; Casting out Nines; Digit Sum Puzzles; More Digit Sum Puzzles; The Digit Sum Check Multiplication Check; The Vedic square; Patterns from the Vedic Square; Number Nine; LESSON 4 LEFT TO RIGHT: Addition: Left to Right; Multiplication: Left to Right; Doubling and Halving; Subtraction: Left to Right; Checking Subtraction Sums; More Subtractions; LESSON 5 ALL FROM 9 AND THE LAST FROM 10: All From 9 and the Last from 10; Subtraction Adding Zeros; One Less; One More; One Less Again; Money LESSON 6 NUMBER SPLITTING: Addition; Subtraction; Multiplication; Division; LESSON 7 BASE MULTIPLICATION: Times Tables; Numbers just Over Ten; Multiplication Table Patterns; Recurring Decimals; Numbers Close to 100; Mentally; Numbers Over 100 Mental Maths; Russian Peasant; Multiplication; Larger Numbers; Numbers Above the Base; Proportionately; Another Application of Proportionately; Multiplying Numbers near Different Bases; Squaring Numbers near a Base; A Summary. LESSON 8 CHECKING AND DIVISIBILITY Digit Sum Check for Division The First by the First and the Last by the Last The First by the First The Last by the Last Divisibility by 4 Divisibility by 11 Remainder after Division by 11 Another Digit Sum Check LESSON 9 BAR NUMBERS Removing Bar Numbers All from 9 and the Last from 10 Subtraction Creating Bar Numbers Using Bar Numbers LESSON 10 SPECIAL MULTIPLICATION Multiplication by 11 Carries Longer Numbers By One More than the One Before Multiplication by Nines The First by the First and the Last by the Last Using the Average Special Numbers Repeating Numbers Proportionately Disguises LESSON 11 GENERAL MULTIPLICATION Revision Two-Figure Numbers Carries Moving Multiplier Extension Multiplying Binomials Multiplying 3-Figure Numbers Written Calculations LESSON 12 SQUARING Squaring Numbers that end in 5 Squaring Numbers Near 50 General Squaring The Duplex Number Splitting Algebraic Squaring Digit Sums of squares Square Roots of Perfect Squares 3 and 4 Figure Numbers LESSON 13 EQUATIONS One-step Equations Two-step Equations Three-step Equations LESSON 14 FRACTIONS Vertically and Crosswise A Simplification Comparing Fractions Unification of Operations LESSON 15 SPECIAL DIVISION Division by 9 Longer Numbers Carries A Short Cut Division by 8 etc. Division by 99, 98 etc. Divisor Below a Base Number Two-Figure answers Divisor Above a Base Number LESSON 16 THE CROWNING GEM Single Figure on the Flag Short Division Digression Longer Numbers Negative Flag Digits Decimalising the Remainder; SUTRAS AND SUB-SUTRAS;9-POINT CIRCLES; REFERENCES;INDEX OF THE VEDIC FORMULAE;INDEX.