Catch Up With Your Kid in Middle School Math in a Day

By A. Datta

This book is for you if you would like to be involved in your school-going kid's math education and need to get your own basics right, or if you decided to extend your education, may be involving some computer programming, or statistics and want to be up to speed in junior high school math before taking the next step. This is not on teaching techniques.
This is by no means comprehensive. It highlights some of the topics that are either easily forgotten or have been recently included in school math. For your own higher studies, it is hoped that you won’t need junior high school textbooks after reading this book, provided you studied math in school and still have some of it left in you.

The following topics are covered and a free sample is available for download.

Arithmetic & Statistics
Chapter 1: Primary Arithmetic – A Few Points
Chapter 2: Beyond Primary – Recurring Decimals, Square Roots of Decimals, Ordered Pairs, Ratio and Proportion
Chapter 3: Statistics - Frequency Distribution and Related Concepts
Chapter 4: L.C.M. and H.C.F. (G.C.F.)
Chapter 5: The Rule of Three, Cost Price or Selling Price, & Average
Algebra
Chapter 6: Some Basics, Nomenclature, Equations & Formulae
Chapter 7: Long Multiplication of Polynomials
Chapter 8: Long Division of Polynomials
Chapter 9: Cubic Factorization and Quadratic Factorization
Chapter 10: H.C.F. (G.C.F.) & L.C.M. of Polynomials; Linear Equations
Geometry
Chapter 11: Some Fundamental Concepts
Chapter 12: Geometrical Constructions Summed Up
Chapter 13: The Essence of Middle School Transformation Geometry
Chapter 14: Applications of Transformation Geometry
Chapter 15: Some Axioms; A Dozen Theorems, & Their Riders

• Language: English
• Publisher: A. Datta
• Release date: Jan 1, 2012
• ISBN: 9781465924575

A. Datta

I went to the following schools. 1) English Major 2) Diploma in RDBMS 3) Post Graduate Diploma in ... [that's my secret] 4) Certificate in Computer Servicing 5) Microsoft Certified Solution Developer I brought up over a dozen house cats in my 20s. As a kid and as a teenager I was never a good amateur cricketer, not even average. But I insisted on letting everyone bowl and keep wicket whenever I was made captain. I also started the batting order with the guys who were the least likely to get a chance to bat with practically any of the other captains. Winning a casual open-to-everyone game was much less important to me than giving everyone a fair chance. Since the dominant guys wanted to hog all the action and were more vocal it would seem that I was a very unpopular captain. But I doubt it. I'm proud to be an Indian and a world citizen. However, I always hated the most popular traditional attire worn by Indian women. The "sari" is a trap! I always thought it a better idea to drive one's own four-wheeler than hire a chauffer -- something that was quite uncommon in India when I was a toddler. Most of the eBooks to which I am contributor are my translations of works by Rabindranath Tagore, the first non-European to win a Nobel Prize for Literature. I am also a loss-making webmaster. I created http://aucklandwhich.org which is a specialized search engine for geoconfusables and I have a lightning-fast tester for Dansguardian parental control software at http://d.yourfilter.info.tm If you read my translations of Rabindranath Tagore's works you will surely treasure them for generations ...

Book preview

Catch Up With Your Kid in Middle School Math in a Day

by A. Datta

Copyright © 2011-2016  A. Datta

Third Edition

ISBN 978-1-4659-2457-5

Nonfiction » Science and Nature » Mathematics » Geometry/Algebraic

Nonfiction » Education and Study Guides » Study guides: Mathematics

A crash-refresher course for parents, SAHMs, professionals, adults continuing education that does not cover teaching techniques.

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"What happens to a dream deferred?

Does it dry up

Like a raisin in the sun?

Or fester like a sore –

And then run?"

~ Langston Hughes

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Table of Contents

Disclaimer

Prologue

Arithmetic & Statistics

Chapter 1: Primary Arithmetic – A Few Points

Chapter 2: Beyond Primary – Recurring Decimals, Square Roots of Decimals, Ordered Pairs, Ratio and Proportion

Chapter 3: Statistics - Frequency Distribution and Related Concepts

Chapter 4: L.C.M. and H.C.F. (G.C.F.)

Chapter 5: The Rule of Three, Cost Price or Selling Price, & Average

Algebra

Chapter 6: Some Basics, Nomenclature, Equations & Formulae

Chapter 7: Long Multiplication of Polynomials

Chapter 8: Long Division of Polynomials

Chapter 9: Cubic Factorization and Quadratic Factorization

Chapter 10: H.C.F. (G.C.F.) & L.C.M. of Polynomials; Linear Equations

Geometry

Chapter 11: Some Fundamental Concepts

Chapter 12: Geometrical Constructions Summed Up

Chapter 13: The Essence of Middle School Transformation Geometry

Chapter 14: Applications of Transformation Geometry

Chapter 15: Some Axioms; A Dozen Theorems, & Their Riders

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Disclaimer

Written with the best of intentions this book comes with no warranties and with all faults. If you would like to suggest improvements please do so by sending an email to A. Datta at lookingglassscrolls(a)live.in replacing (a) with @ sans quotes. Before you purchase this eBook please determine by using this free sample whether or not the diagrams show up satisfactorily on your ereading device. If your device supports zooming in to images then there should be no problem. If the diagrams don't show up satisfactorily on your device you can still purchase the title directly from http://smashwords.com/b/118963 in multiple formats for a single purchase including A4 size PDF. Some of these formats may be usable with your ereading device and all of them can be read on your computer.

If you are reading the PDF format, you may encounter some very large images of formulae. The reason behind embedding gigantic images is to optimize their readability on mini devices there being only one supported source file from which all the formats are generated. The intention is not to make them look formidable although as a side effect they may become easier to remember. The technology behind eBooks is still very young and some day we should be able to eclipse these size inconsistencies.

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Prologue

This book is for you if you would like to be involved in your school-going kid's math education and need to get your basics right, or if you decided to extend your education, may be involving some computer programming, or statistics and want to be up to speed in junior high school math before taking the next step. This is not on teaching techniques. If you would like to be involved in your school-going kid's math education, this is just a starting point and to deliver lessons you will need textbooks. We do need basic math – whether we are engaged in scientific pursuit or artistic. Should you ever lose contact with math this book will help you quickly retrace your steps to end of middle school level.

But this book is by no means comprehensive. It highlights some of the topics that are either easily forgotten or have been recently included in school math. For your own higher studies, it is hoped that you won’t need junior high school textbooks after reading this book, provided you studied math in school and still have some of it left in you. Take a good look at the topics listed in the table of contents. If you are looking for anything easier than this then I guess you need to read the unabridged school textbooks which will also take a lot more time than reading the present volume with only 15 chapters.

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Arithmetic & Statistics

Chapter 1: Primary Arithmetic – A Few Points

Math (USA) and maths (UK) are essentially the same thing. Non-native speakers of the English language are sometimes unaware of this. Another thing I'd like you know right in the beginning is that "^" sans quotes means exponentiation.

Thus,

.

The star sign has not been used to denote multiplication in this work because it has special connotation in the context of eBooks.

A couple of items pertaining to primary school math that are worth revisiting are tally marks and triangular numbers.

Tally Marks

These refer to the unary number system. A number is referred to in the unary system (as opposed to denary or binary with which we are more familiar) by an equal number of 1s in a row. Thus two is 11 and four is 1111. Alternatively you can use tally marks – the unary ones are replaced by strokes (/) or vertical bars (|). To keep things readable you strike out every four tally marks with a fifth in the form of a stroke and start a new row. Thus ten is |||| |||| or better still form squares with 4 penstrokes, applying the fifth stroke diagonally as in the following to represent ten.

Triangular Numbers

A triangular number is the sum of x counting numbers from 1 to x. It is so called because it can be represented by a triangular grid of balls with the first row containing 1 ball and subsequent rows one more ball each. It is called a figurative number since it lends itself to representation by a regular geometrical structure of equidistant balls, like other figurative numbers.

The set of all triangular numbers is {1, 3, 6, 10, 15 …}

Confusables

The term confusable a.k.a. confusible was coined by UK lexicographer Adrian Room in the late 1970s. Confusables are things, esp. words, that may be confused according to the Oxford English Dictionary.

I did a study on math confusables and although my work did not officially involve adult subjects, I was astonished to find that in the suburb where I carried