Monday, April 30, 2012

Exercises and Solutions

Below you will find the exercises and solutions available for The Language of Mathematics. Over time, more will be added and those in draft form will be finalized.

Please keep in mind that like most people, I am prone to making silly mistakes, so take the answers with a grain of salt. Corrections and suggestions are always welcome.
  • Series I - Description, Videos.
  • Series II - Description, Videos.
  • Series IIIa - Description, Videos.
  • Series IIIb - Description, Videos.
  • Series IV (open)

  • Series I

      Section 2: The Real Number Set

      Section 4: Basic Operations

      Section 5: Prime Numbers

      Section 6: Fractions

      Section 7: Trigonometry

      Section 8: Basic Geometry

      Section 9: Coordinate Geometry

      Section 10: Proofs

    Series II

      Section 1: Exponents and Radicals

    Series IIIa

        - No exercises available for this series at the moment.

    Series IIIb

        - No exercises available for this series at the moment.

    Series IV

        - No exercises available for this series at the moment.

    Tuesday, April 17, 2012

    About 420math

    Welcome to 420math, a site dedicated to teaching mathematics and supporting organizations that are working towards ending prohibition.

    The purpose of the mathematics aspect of this project is as simple as it gets: Due to our technological advancements, mathematics has become an integral part of our society and the need to be literate in this language a necessity.

    In much the same manner that the industrial revolution brought about a surge of literacy in natural languages, the advent of the Internet in combination with low-cost computing has brought about a surge in the need to be literate in the language of mathematics. To help in the process of exposing as many people as possible to this beautiful language, lessons for all major topics covered in secondary school math curriculums in Canada and the United State will be produced, i.e., all major topics starting with The Real Number Set up to and including an introductory course in Calculus and one for Probability and Statistics.

    The 420 aspect of this project, similar to that of the mathematics, is also as simple as it gets: Our global continuation of America’s War on Drugs is collective insanity, hence, I have decided to support the battle to end prohibition, which, of course, is an inevitability.

    It has been said that the first casualty of war is truth, and nowhere has this idiom applied more so than with the war on drugs. Much more on this subject later, for now all that matters is to end prohibition as quickly as possible, and for that we look to the United States Drug Enforcement Administration (DEA) for answers (emphasis added):
    Today's DEA arrest of Marc Scott Emery, publisher of Cannabis Culture Magazine, and the founder of a marijuana legalization group -- is a significant blow not only to the marijuana trafficking trade in the U.S. and Canada, but also to the marijuana legalization movement

    “Hundreds of thousands of dollars of Emery's illicit profits are known to have been channeled to marijuana legalization groups active in the United States and Canada. Drug legalization lobbyists now have one less pot of money to rely on.
    The above statement was the catalyst that gave birth to this project. It implies that Mr. Emery was targeted for political reasons, which, in turn, makes him a political prisoner. It also indicates that the DEA is interfering with the sovereignty of Canada, as well as interfering with citizens’ rights to change public policy in the United States of America.

    That’s the bad news. The good news is, per their statement, the DEA has told us what we need to do to prevent their meddling in the governance of our societies. All we need to do is to make sure that organizations that are working towards ending prohibition are amply funded.

    This is the essence of 420math, a site dedicated to teaching mathematics and supporting organizations that are working towards ending prohibition. So, if you enjoy this work, if you are finding the information on this site useful, and if you would like to support this project, then please consider supporting the organizations listed below.

    Peace,

    chycho
    420math [at] gmail [dot] com From the series, "Vancouver People Project" by Tallulah Photography.

  • Students for Sensible Drug Policy (SSDP)

  • Law Enforcement Against Prohibition (LEAP)

  • Erowid

  • Moms for Marijuana

  • Multidisciplinary Association for Psychedelic Studies (MAPS)

  • Marijuana Policy Project (MPP)

  • DrugSense

  • Educators For Sensible Drug Policy (EFSDP)

  • National Organization for the Reform of Marijuana Laws (USA) and NORML Canada

  • The November Coalition

  • Safer Alternative For Enjoyable Recreation (SAFER)

  • Drug Policy Alliance (DPA Network)

  • Sunday, April 15, 2012

    Table of Contents

    The following are the two main tables of contents for this site:
    1. The Language of Mathematics
    2. Math in Real Life
    The Language of Mathematics is geared towards teaching the syntax of this language, the rules and principles that we use in math. This project began in 2007 with The Real Number Set and will conclude with an introductory series on Calculus and one for Probability and Statistics.

    Math in Real Life, started in 2012, is in its infancy and will continue indefinitely. The content in this section is geared towards using The Language of Mathematics to enhance our lives.

    Lessons are also accessible through the tree menu provided in the left column. Specific topics can be found through the Index (left column).

    Friday, April 13, 2012

    Math in Real Life: Table of Contents

    By far the most common question that I have been asked over the years regarding mathematics has been, ”When am I going to use math in real life?” That is, at least, the way I choose to perceive it. Unfortunately, more often than not, this question has come my way in the form of the following absurd absolute statement, “I’m never going to use this in real life!”

    This erroneous perception of math’s practical usage has been the most prevalent problem in our education system, and by addressing it, the beauty of mathematics and its relevance reveals itself. Information gets absorbed faster. The details get scrutinized and people begin to recognize the occasions for which they have, can, and are already using math in their own lives.

    This is the ultimate purpose of this section, to apply what we have learned from studying The Language of Mathematics to enhance our lives.

    Content for this section will be organized in the following categories:
    1. Mathematics of Prohibition
    1. Games and Gambling
    2. Personal Finance
    3. Food and Farming
    4. Food and Fitness
    5. Economics and Politics
    6. Business and Investment
    7. Energy and Environment
    8. Art and Design
    9. Film and Music (Sight and Sound)
    10. Science and Technology
    11. Construction and Engineering
    12. Miscellaneous

    i. Mathematics of Prohibition

      Section 1: Mathematics of Prohibition
        - series coming in 2014/15
      Section 2: Articles on Prohibition

    I. Games and Gambling

      Section 1: Shooting Dice, Playing Craps

    II. Personal Finance

      Section 1: Time Management

    III. Food and Farming

      Section 1: Community Supported Agriculture, CSA

    IV. Food and Fitness

        - In the works

    V. Economics and Politics

        - In the works

    VI. Business and Investment

        - In the works

    VII. Energy and Environment

        - In the works

    VIII. Art and Design

      Section 1: The Art of Dirk Marwig

    IX. Film and Music (Sight and Sound)

        - In the works

    X. Science and Technology

      Biology:
      Physics:

    XI. Construction and Engineering

        - In the works

    XII. Miscellaneous


    Monday, April 9, 2012

    Series I Description: What's Contained in this Series

      The first part of this series deals with the absolute basics of mathematics: the Real Number Set; basic operations; prime numbers and their importance; and how to deal with fractions. This is where it all begins. Please be comfortable with this material before moving on.

      The second part of this series deals with basic geometry and trigonometry. Topics discussed include: right triangles and trigonometric ratios; parallel lines; congruent and similar triangles; the Cartesian coordinate system; and slope, midpoint, and distance of a line. We also take a quick look at three different types of proofs related to these topics; those related to triangles, lines, and the Cartesian coordinate system. (NOTE: at some point in the future an in-depth introduction to trigonometry will be produce.)

      In addition to the above, we take a rudimentary look at Zero and Infinity, and Why a Negative and a Negative Makes a Positive.

      Full list and links for all the videos contained in the series are provided below and are available at: Table of Contents: The Language of Mathematics - Series I.

      Exercises and Solutions are also available for this series.

      See Videos Available for Download for information on the torrent for this series.

      For ease of reference, included below is the Table of Contents and the expanded image of the tree menu provided in the left column of this site. Specific topics can be found through the Index (left column).



    Table of Contents



      Section 1: Introduction to Series I
      Section 2: The Real Number Set
      Section 3: Zero and Infinity
      Section 4: Basic Operations
      Section 5: Prime Numbers
      Section 6: Fractions
      Section 7: Trigonometry
      Section 8: Basic Geometry
      Section 9: Coordinate Geometry
      Section 10: Proofs
      Section 11: Why a Negative and a Negative Makes a Positive


    Image of Tree Menu


    From Series I Tree Menu - The Language of Mathematics

    Friday, April 6, 2012

    Coordinate Geometry Proof (The Language of Mathematics #32-33)

    Table of Contents: The Language of Mathematics

    Coordinate Geometry Proof, Part 1 (Math #32)



    Coordinate Geometry Proof, Part 2 (Math #33)




    Thursday, April 5, 2012

    Proofs Involving a Line (The Language of Mathematics #27-29)

    Table of Contents: The Language of Mathematics

    Proofs Involving a Line, Part 1 (Math #27)



    Proofs Involving a Line, Part 2 (Math #28)



    Proofs Involving a Line, Part 3 (Math #29)




    Wednesday, April 4, 2012

    Proofs Involving Triangles (The Language of Mathematics #30)

    Table of Contents: The Language of Mathematics

    Introduction to Proofs (The Language of Mathematics #26)

    Table of Contents: The Language of Mathematics

    Distance of a Line (The Language of Mathematics #25)

    Table of Contents: The Language of Mathematics

    Slope and Midpoint of a Line (The Language of Mathematics #24)

    Table of Contents: The Language of Mathematics

    Cartesian Coordinate System, Introduction (The Language of Mathematics #23)

    Table of Contents: The Language of Mathematics

    Monday, April 2, 2012

    Solving Right Triangles (The Language of Mathematics #18-19)

    Table of Contents: The Language of Mathematics

    Solving Right Triangles, Part 1 (Math #18)



    Solving Right Triangles, Part 1 (Math #19)




    Introduction to Right Triangles and Basic Trigonometric Ratios (Language of Mathematics #15-17)

    Table of Contents: The Language of Mathematics

    Right Triangles and Basic Trigonometric Ratios, Part 1 (Math #15)



    Right Triangles and Basic Trigonometric Ratios, Part 2 (Math #16)



    Right Triangles and Basic Trigonometric Ratios, Part 3 (Math #17)




    Introduction to Trigonometry and Geometry (The Language of Mathematics #14)

    Table of Contents: The Language of Mathematics