Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2

Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2 Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2 Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2 Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2 Vol 6: RAPID MENTAL CALCULATION, Workbook Level 2
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There are 5 sections to the following Notes on this book:

1 - About 
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



1 - 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

ISBN: 978-0-9757484-7-3
 
 
 
Link to book:
   http://www.jainmathemagics.com/product/113/default.asp 
 

Link to Ebook:
http://www.jainmathemagics.com/product/112/default.asp
 

 
FRONT COVER:
 
Jain 108 MatheMagics 
(new front cover)
 

Jain 108 MatheMagics
(old 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)

2011

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

(For Research Expressing Essential Data Of Magic Squares)
www.jainmathemagics.com



2 -   BACK COVER BLURB

Jain 108 MatheMagics 
(new back cover) 
 
 
Jain 108 MatheMagics

(old back cover) 
 
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 Mathematics which 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 content
and 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: 6252.
Pythagoras’ Theorem to determine the Roots of 2, Root 3 and Root 5.

Revision Test called ‘Mathletics’.
Certificate of Completion.




3 -   C O N T E N T S

page 7
INTRODUCTION

page 11
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

page 21
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

page 32
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

Page 51
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 5th & 6thPowers

page 60
DAY 15
: SQUARING & SQUARE ROOTS
~
Squaring of Numbers Ending in 25 eg 1252

~ SQUARE ROOTS eg: 4906

~ Graphical Multiplication

- Using The Stroke Method eg: 12 x 34

Page 80
DAY 16
: CUBIC ROOTS

~ Revise Trachtenberg Method that gives the Cubic
Powers eg: 83 = 8x8x8 = 64x8 = 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.

Page 90
DAY 17
: The MAGIC Of NINE

~ Special Division By 9 eg: 1234 ÷ 9

~ Clusters of 9 to Higher Powers eg: 9992

~ Multiplication of Numbers by 9 eg: 345x999

page 104
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 D
igits x 4 Digits: eg: 1234 x 4321

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

page 114
DAY 19
: PYTHAGORAS’ THEOREM

~ Definition

~ 32 + 42 = 52

~ 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

page 134
DAY 20
: END OF COURSE

~ Main and Final Revision Test called "MATHLETICS”
with Answers

~ Feedback Sheet

~ End of Course

~ Offering of "Certificate Of Completion”

page 145
APPENDIX

~ Some Products by Jain

~ Extra Puzzles on Combinatorics (14 Examples)

~ 1895 8th Grade Final Exam

page 167 INDEX

page 173 NUMBER INDEX

Fini




4 - 11 SAMPLE PAGES
      From

"Curriculum volume 5
Workbook Level 2: Rapid Mental Calculation"

1 -
Pascal's Triangle

Jain 108 MatheMagics

2 - Fractal Pattern of the Odd Number Sequence
Jain 108 MatheMagics


3 - Odd Numbers Generating the Squared Number Sequence
Jain 108 MatheMagics


4 - 345 Triangle in the Geometry Of Flowers
Jain 108 MatheMagics

5 - Puzzle: What is the Shortest Path of the Cube?
Jain 108 MatheMagics


6 - Puzzle: Solution to the UniCursal Hexagram
Jain 108 MatheMagics

7 - Graphical Multiplication
Jain 108 MatheMagics

8 - Example of Square Roots
Jain 108 MatheMagics

9 - Example of a typical working page on Percentages
Jain 108 MatheMagics

10 - Example of a typical working page on the Sutra: Vertically & Crosswise.
Jain 108 MatheMagics

11 - Exam sheet at the end to test for Revision and Memory Power.
Jain 108 MatheMagics



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 5th & 6thPowers, 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,