## Description

There are** 5 sections** to the following Notes on this book:

**1 – About CURRICULUM Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2 from the Series: “JAIN 108 MATHEMAGICS CURRICULUM For The GLOBAL SCHOOL”**

**2 – BACK COVER BLURB**

**3 – CONTENTS**

**4 – 11 SAMPLE PAGES**

**5 – KEYWORDS, SEARCH ENGINES**

**Section 1 –**

About Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2

About Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2

from the series: “JAIN 108 MATHEMAGICS CURRICULUM For The GLOBAL SCHOOL”

This book contains 180 photocopied pages, is computer-typed, highly illustrated, the book is a golden rectangle but fitted or orientated to A4 landscape , and wire bound. $50

Self Published in 2011 First Edition

**FRONT COVER:**

Workbook Level 2: Rapid Mental Calculation

from the series: Jain 108 Mathemagics Curriculum For The Global School,volume 6. This continues from the previous workbook called Level 1, and is a valuable Teacher training Resource Book.

RAPID MENTAL CALCULATION for TEENS and ADULTS

Designed to release the Inner Genius

(Script Material for the Film and OnLine Tutorials).

By JAIN 108

(writer, artist, Mathematical Futurist and EcoPreneur)

Produced by JAIN F.R.E.E.D.O.M.S 2011

(For Research Expressing Essential Data Of Magic Squares)

**Section 2 – BACK COVER BLURB**

Here is the same info on the above Back Cover Blurb, typed out:

… BACK COVER BLURB …

### CAN You MULTIPLY 108 x 108 in 5 Seconds

### RAPID MENTAL CALCULATION For TEENS & ADULTS WORKBOOK

Subtitled:

WORKBOOK LEVEL 2 (aka Vedic Mathematics)

by JAIN 108 of Australia

from the Series: JAIN MATHEMAGICS CURRICULUM For The GLOBAL SCHOOL. Book 4

If you are allergic to Mathematics,

then this series of quinta essential books is for you.

Goodbye to Factory Style Mathematics, the Nemesis of several generations of wounded students forced to be spoon-fed a non-organic, stale, pasteurized and homogenized mathematical curriculum, inherited and tampered with since Euclid’s time.

And welcome to this

modern Mathematical Whole Foods,

a well-researched and Bullet Proof system,

serving you the choicest Mathematical Plums.

This Workbook continues on from where Level 1 ended.

It goes beyond the boundaries of Vedic Mathematicswhich is the basics for Rapid Mental Calculation.

It is guaranteed that the student can manage any problem given to him or her over the course of 10 weeks which is a traditional Term or season of the School Year.

This book is original in its coherent style of contentand highly rich in psycho-active graphics.

It succeeds in giving capsules of easy to understand sutras or formula and is the beginning of a well articulated Global School Mathematics Curriculum.

It is therefore an effective healing for what Prof Brian McEnery calls “Digital Rust” and “Mental Entrophy”.

**Some topics covered include:**

• Pascal’s triangle and 5 Hidden Sequences within this Triangular Matrix like the Binary Code, the Fibonacci Sequence and the Powers of 11.

• Percentages and Fractions eg: Convert the fraction 7/40 as a Percentage.

• Squaring, Square Roots and Cube Roots eg: √4906 and ^{3}√35,937.

• The Magic Of 9, & Extra Puzzles on Combinatorics and Probability.

• Sutra: Vertically & Crosswise for 3 Digits x 3 Digits and above. eg: 123 x 45.

• Squaring of Numbers Ending in 25 eg: 625^{2}.

• Pythagoras’ Theorem to determine the Roots of 2, Root 3 and Root 5.

• Revision Test called ‘Mathletics’.

• Certificate of Completion.

**Section 3 – ****C O N T E N T S**

**INTRODUCTION**

**DAY 11****: PASCAL’S TRIANGLE**

~ Theory. Get students to create this Triangle and discover the following 5 hidden Sequences:

~ Binary Sequence 1-2-4-8-16-32

~ Powers of 11 eg: 1-11-121-1331-14641

~ Sequence of Triangular Numbers 1-3-6-10-15-21

~ Sequence of Tetrahedral Numbers 1-4-10-20-35

~ Fibonacci Sequence 1-1-2-3-5-8-13-21-34

~ Fractal Pattern of Odd Numbers

**DAY 12****: PERCENTAGES**

~ eg: 30% of 3,700

~ eg: wholesale book price

~ How Algebra Can Be Used To Convert Fractions to Percentages.

~ Introduction of “x” The Unknown.

~ Convert the fraction 7/40 as a Percentage

~Using Algebra to solve Percentages and Ratios

**DAY 13****: FRACTIONS**

~ Adding and Subtracting Fractions

~ Multiplying and Dividing Fractions

~ Converting Fractions into their Decimal Equivalents

~ Non-Recurring or Non-Circulating Decimal Fractions

~ Fully Recurring or Fully Circulating Decimals eg: 1/7 = .142857 Repeater + Number Theory

~ Egyptian Fractions

**DAY 14****: NUMBER THEORY**

~ Proof that 1=2

~ Difference of Two Squares

~ Number Theory or ART OF NUMBER

~Odd Numbers Generating the Squared Numbers

~ Odd Numbers Generating the Cubic Numbers

~ Odd Numbers Generating the 5^{th} & 6^{th}Powers

**DAY 15****: SQUARING & SQUARE ROOTS**

~ Squaring of Numbers Ending in 25 eg 125^{2
}~ SQUARE ROOTS eg: √4906

~ Graphical Multiplication

~ Using The Stroke Method eg: 12 x 34

**DAY 16: CUBIC ROOTS
**~ Revise Trachtenberg Method that gives the Cubic Powers eg: 8

^{3 }= 8x8x8 = 64×8 = 512

~ Vilokanam, By Mere Observation, By Mere Intuition

~ Determining Cubic Roots of Numbers under 1,000,000

~ Using Digit Sums to determine if a number is Cubic.

**DAY 17: The MAGIC Of NINE
**~ Special Division By 9 eg: 1234 ÷ 9

~ Clusters of 9 to Higher Powers eg: 999

^{2 }~ Multiplication of Numbers by 9 eg: 345×999

**DAY 18: Universal Sutra: VERTICALLY & CROSSWISE
**~ 3 Digits x 2 Digits: eg: 144 x 35 using the Moving Multiplier Method

~Alternative Trachtenberg Method for 2dx2d

~ 4 Digits x 4 Digits: eg: 1234 x 4321

~ Worksheet on penciling in the actual “X” shapes up to 5 D x 5 Digits

**DAY 19: PYTHAGORAS’ THEOREM
**~ Definition

~ 3

^{2}+ 4

^{2}= 5

^{2 }~ The 108 Triangle

~ Pythagorean Triples & Patterns

~ The Rope-Stretchers Knot of 12

~ Gnomon

~ The 3-4-5 Triangle In the Geometry of Flowers

~ Plato’s “Most Beautiful Triangle”

~ 3-4-5 Proof by Mere Observation from Greece

~ 3-4-5 Algebraic Proof by Bhaskara, India & Proof By Tiling

~ Some Ancient Historical References on the 3-4-5 Triangle

~ Pythagorean derivation of the Musical Diatessaron or 3:4 Ratio

~ Derivation of the Symbols of the Master Mason

~ Using Pythagoras’ Theorem to determine √2, √3 and √5 in the Vesica Piscis

~ Puzzle using Pythagoras’ Theorem to determine Shortest Path on The Cube

**DAY 20: END OF COURSE
**~ Main and Final Revision Test called “MATHLETICS” with Answers

~ Feedback Sheet

~ End of Course

~ Offering of “Certificate Of Completion”

**APPENDIX**

~ Some Products by Jain

~ Extra Puzzles on Combinatorics (14 Examples)

~ 1895 8

^{th}Grade Final Exam

**INDEX
NUMBER INDEX**

Fini

**4 –**

11 SAMPLE PAGES From **“Curriculum volume 6**

**Workbook Level 2: Rapid Mental Calculation”**

11 SAMPLE PAGES From

1 – Pascal’s Triangle

2 – Fractal Pattern of the Odd Number Sequence

3 – Odd Numbers Generating the Squared Number Sequence

4 – 345 Triangle in the Geometry Of Flowers

5 – Puzzle: What is the Shortest Path of the Cube?

6 – Puzzle: Solution to the UniCursal Hexagram

7 – Graphical Multiplication

8 – Example of Square Roots

9 – Example of a typical working page on Percentages

10 – Example of a typical working page on the Sutra: Vertically & Crosswise.

11 – Exam sheet at the end to test for Revision and Memory Power.

**Section 5 – KEYWORDS, SEARCH ENGINES**

Vedic Mathematics, Jain 108, Bharati Krshna Tirthaji, Krishna, Workbook Level 2, Workbook Level 1, Rapid Mental Calculation, Jain 108 Mathemagics Curriculum For The Global School, Pascal’s triangle, Sequences, Binary Sequence, Powers of 11, Triangular Numbers, Tetrahedral Numbers, Fibonacci Sequence, Fractal Pattern of Odd Numbers, Percentages, Algebra, Convert Fractions to Percentages, “x” The Unknown, Ratios, Multiplying Fractions, Non-Recurring or Non-Circulating Decimal Fractions, Fully Recurring or Fully Circulating Decimals, Number Theory, Egyptian Fractions, Proof that 1=2, Difference of Two Squares, Art Of Number, Odd Numbers Generating the Squared Numbers, Odd Numbers Generating the Cubic Numbers, Odd Numbers Generating the 5^{th} & 6^{th}Powers, Squaring of Numbers Ending in 25, Square Roots, Graphical Multiplication, The Stroke Method, cube, cubic roots, Trachtenberg Method, Vilokanam, By Mere Observation, By Mere Intuition, Digit Sums to determine if a number is Cubic, The Magic Of Nine, Special Division By 9, Universal Sutra, Vertically and Crosswise, Moving Multiplier Method, Pythagoras’ Theorem, The 108 Triangle, Pythagorean Triples, The Rope-Stretchers Knot of 12, Gnomon, The 3-4-5 Triangle In the Geometry of Flowers, Plato, Most Beautiful Triangle, Bhaskara, Diatessaron, Master Mason. Root √2, √3, √5, Vesica Piscis, Mathletics, Combinatorics,

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