Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  12.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  13.    wt: 1:   D Decimal Long Division Methods/
  14.    wt: 1:   C Decimal Multiplication Methods/
  15.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  16.    wt: 1:   A Decimal Counting and Adding Methods/
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  2.    wt: 1:   G LAMP Introduction Problem Solving Skills
  3.    wt: 1:   Skills Chapter 5 Calculus
  4.    wt: 1:   Skills Chapter 4 Logic
  5.    wt: 1:   Skills Chapter 3 Algebra
  6.    wt: 1:   Skills Chapter 2 Geometry
  7.    wt: 1:   Skills Chapter 1 Arithmetic
  8.    wt: 1:   Skills Chapter 0 Introduction
  9.    wt: 1:   22 Student Centered Highschool Mathematics
  10.    wt: 1:   2 Reading and Writing Skills
  11.    wt: 1:   Ages 12 to 14 Skills with take home value
  12.    wt: 1:   3 Multiplicative Counting Skills Principles
  13.    wt: 1:   2 Combing Counts Addition Skills and Principles
  14.    wt: 1:   1 Three Skills For Algebra
  15.    wt: 1:   8 What skills and work habits to require
  16.    wt: 1:   1 Intro of Kids To Time Date Skills
  17.    wt: 1:   Chapter 8 Three Skills For Algebra
  18.    wt: 1:   R Why Learn Mathematics Skills
  19.    wt: 1:   L Skills with take home value
  20.    wt: 1:   I. Logic and language skills
  21.    wt: 1:   How to Build Skills and Confidence
  22.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
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  1.    wt: 4:   1 Speaking Skills
  2.    wt: 3:   22 Student Centered Highschool Mathematics
  3.    wt: 3:   2 Reading and Writing Skills
  4.    wt: 2:   Home Tutoring and Home Schooling
  5.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  6.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  7.    wt: 2:   24 Standards For Skill Develoment Take II
  8.    wt: 2:   24 Standards For Skill Develoment
  9.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  10.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  11.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  12.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  13.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  14.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  15.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  16.    wt: 2:   18 Primary School Mathematics
  17.    wt: 2:   17 Math Booklets for children and young teenagers
  18.    wt: 2:   16 Secondary Mathematics Tips
  19.    wt: 2:   15 Counting For Parents
  20.    wt: 2:   14 Multiplication and Times Tables
  21.    wt: 2:   13 Addition and Addition Tables
  22.    wt: 2:   12 Goals and Objectives For Mathematics
  23.    wt: 2:   11 Help and Defend Your Child or Teens Education
  24.    wt: 2:   10 Ends values for work study instruction
  25.    wt: 2:   9 Streaming by Student Cooperation
  26.    wt: 2:   8 The Effect of Negative Remarks
  27.    wt: 2:   7 Student Motivation
  28.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  29.    wt: 2:   5 Patience Please for Yourself and Your Charges
  30.    wt: 2:   4 Learning Takes Time and Effort
  31.    wt: 2:   3 Preparing for Science Studies
  32.    wt: 2:   Ages 12 to 14 Skills with take home value
  33.    wt: 2:   20 Uniqueness of Prime Factorization
  34.    wt: 2:   19 video Prime Factorization Unique
  35.    wt: 2:   18 video Count Factors given Prime Factorization
  36.    wt: 2:   17 Identify and Count Factors using Primes
  37.    wt: 2:   16 video Factors of 980 using prime
  38.    wt: 2:   15 video Factors of 20 using Prime Factorization
  39.    wt: 2:   14 video Factors of 24 Take II
  40.    wt: 2:   13 video Factors of 24 using prime
  41.    wt: 2:   12 LCD GCD and LCM using Primes
  42.    wt: 2:   11 Efficient Square Rule Use
  43.    wt: 2:   10 video Prime Factorization upto 23 squared
  44.    wt: 2:   9 video Prime Factorization upto 19 squared
  45.    wt: 2:   8 video Prime Factorization upto 19
  46.    wt: 2:   7 Calculator Usage Notes and Cautions
  47.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  48.    wt: 2:   5 Prime Factorization and a Square Rule
  49.    wt: 2:   4 video Prime Factorization Introduction
  50.    wt: 2:   3 video Primes and Composites from 9 times table
  51.    wt: 2:   2 Prime and Composites less than 16
  52.    wt: 2:   1 video how Products are bigger than factor
  53.    wt: 2:   8 What skills and work habits to require
  54.    wt: 2:   1 Intro of Kids To Time Date Skills
  55.    wt: 2:   Chapter 8 Three Skills For Algebra
  56.    wt: 1:   G LAMP Introduction Problem Solving Skills
  57.    wt: 1:   Skills Chapter 5 Calculus
  58.    wt: 1:   Skills Chapter 4 Logic
  59.    wt: 1:   Skills Chapter 3 Algebra
  60.    wt: 1:   Skills Chapter 2 Geometry
  61.    wt: 1:   Skills Chapter 1 Arithmetic
  62.    wt: 1:   Skills Chapter 0 Introduction
  63.    wt: 1:   Ages 12 to 14 Geometry
  64.    wt: 1:   Ages 12 to 14 Arithmetic
  65.    wt: 1:   Ages 10 to 12 Geometry
  66.    wt: 1:   Ages 10 to 12 Arithmetic
  67.    wt: 1:   Ages 9 to 10
  68.    wt: 1:   Ages 8 to 9
  69.    wt: 1:   Ages 7 to 8
  70.    wt: 1:   Ages 6 to 7
  71.    wt: 1:   Ages 4 plus to 5 plus
  72.    wt: 1:   Ages 3 plus to 4 plus
  73.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  74.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  75.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  76.    wt: 1:   3 Multiplicative Counting Skills Principles
  77.    wt: 1:   2 Combing Counts Addition Skills and Principles
  78.    wt: 1:   1 Three Skills For Algebra
  79.    wt: 1:   arithmetic videos Real Player Format
  80.    wt: 1:   4 Greater More Less Than Signs in General
  81.    wt: 1:   3 Comparison of Negative Numbers
  82.    wt: 1:   2 More and Less Than with Unlike Signs
  83.    wt: 1:   1 More and Less Than for Counts and Measures
  84.    wt: 1:   5 Square Roots with primes more still
  85.    wt: 1:   4 Square Roots with primes more
  86.    wt: 1:   3 Properties of Square Roots with example
  87.    wt: 1:   2 Square Roots with Prime
  88.    wt: 1:   1 Squares and Square Roots Introduction
  89.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  90.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  91.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  92.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  93.    wt: 1:   13 GCD from given Prime Factorization
  94.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  95.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  96.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  97.    wt: 1:   8 GCD from Euclidean Algorithm
  98.    wt: 1:   7 GCD and LCM from prime factorization
  99.    wt: 1:   6 GCD from Prime
  100.    wt: 1:   5 Common Divisors 60 45 via Prime
  101.    wt: 1:   4 LCM of 8 and 10 via Prime
  102.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  103.    wt: 1:   2 Least Common Multiple LCM intro via list method
  104.    wt: 1:   1 Least Common Multiples LCM Introduction
  105.    wt: 1:   12 GCD 2700 288 via Prime
  106.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  107.    wt: 1:   4 Counting with Trees Product Rule Take I
  108.    wt: 1:   3 Counting with Tables and Trees II
  109.    wt: 1:   2 Counting with Tables and Trees I
  110.    wt: 1:   1 Counting and Counting Methods I
  111.    wt: 1:   11 What are real lengths and numbers
  112.    wt: 1:   10 dividing signed numbers
  113.    wt: 1:   9 subtracting signed numbers
  114.    wt: 1:   8 multiplying signed numbers
  115.    wt: 1:   7 negative and additive inverse
  116.    wt: 1:   6 adding signed numbers
  117.    wt: 1:   5 lengths and signs of numbers
  118.    wt: 1:   4 signed coordinates for regions in space
  119.    wt: 1:   3 signed coordinates for maps and planes
  120.    wt: 1:   2 signed and unsigned numbers as coordinates
  121.    wt: 1:   7 Converting or Changing Units
  122.    wt: 1:   6 Simplification of Fractions with Units
  123.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  124.    wt: 1:   4 Fractions with Units
  125.    wt: 1:   3 Multiplying Units and Numbers
  126.    wt: 1:   2 Equality and Units
  127.    wt: 1:   1 Addition and Subtraction with Units
  128.    wt: 1:   D Three Term Ratios
  129.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  130.    wt: 1:   B Fractions and Two Term Ratios
  131.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  132.    wt: 1:   22 Complex Compound Fractions
  133.    wt: 1:   21 Working With Signs
  134.    wt: 1:   21 Reciprocals for Fractions and Wholes
  135.    wt: 1:   20 Dividing Fractions the Why
  136.    wt: 1:   19 Dividing Fractions How TO
  137.    wt: 1:   18 Efficient Ways to Multiply
  138.    wt: 1:   17 Efficient Ways to Add and Subtract
  139.    wt: 1:   16 Addition Subtraction Comparision Compared
  140.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  141.    wt: 1:   14 Adding and Subtracting with Like Denominators
  142.    wt: 1:   13 Fraction Comparison Algebraic View
  143.    wt: 1:   12 Fraction Comparison
  144.    wt: 1:   11 Simplification an Algebraic View
  145.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  146.    wt: 1:   9 Improper Fractions and Mixed Numbers
  147.    wt: 1:   8 Numerals Fractionals Quantals Take II
  148.    wt: 1:   7 Numerals Fractionals Quantals
  149.    wt: 1:   6 Multiplication Algebraically Take II
  150.    wt: 1:   5 Equivalent Fractions
  151.    wt: 1:   4 Fraction Multiplication
  152.    wt: 1:   3 Unit fraction of a fraction
  153.    wt: 1:   2 Unit Fraction Multiplication
  154.    wt: 1:   1 What is a fraction Take II
  155.    wt: 1:   1 What is a fraction
  156.    wt: 1:   D Remainders Modulo 11 Pair Rule
  157.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  158.    wt: 1:   B Integer Long Division Multiple Choices
  159.    wt: 1:   A Associative Law Theorectical Note
  160.    wt: 1:   13 Subtraction with Additive Inverse
  161.    wt: 1:   12 Adding Integers More Examples
  162.    wt: 1:   11 Adding Integers Formulas and Examples
  163.    wt: 1:   10 Integer Multiplication Formulas
  164.    wt: 1:   9 Multiplying Integers
  165.    wt: 1:   8 Multiplication by Signed Numbers Integers
  166.    wt: 1:   7 Multiplication by Signs
  167.    wt: 1:   6 Multiplication by Natural Numbers
  168.    wt: 1:   5 Zero Movement and Additive Inverses
  169.    wt: 1:   4 Adding Movements wiht opposite directions
  170.    wt: 1:   3 Adding Movements with same direction
  171.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  172.    wt: 1:   1 Integers as Coordinates
  173.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  174.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  175.    wt: 1:   26 Divisibility by 2 3 5 Example
  176.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  177.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  178.    wt: 1:   23 Remainder Arithmetic Modulo 2
  179.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  180.    wt: 1:   21 Remainder Arithmetic Modulo 3
  181.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  182.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  183.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  184.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  185.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  186.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  187.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  188.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  189.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  190.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  191.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  192.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  193.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  194.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  195.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  196.    wt: 1:   5 Remainder Arithmetic Modulo 5
  197.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  198.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  199.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  200.    wt: 1:   1 Remainder Arithmetic Modulo 10
  201.    wt: 1:   Long Division Backwards more
  202.    wt: 1:   Long Division Backward
  203.    wt: 1:   Division with Counts and Length
  204.    wt: 1:   Long Division forwards and backwards Example 3
  205.    wt: 1:   Long Division forwards and backwards Example 2
  206.    wt: 1:   Long Division forwards and backwards Example 1
  207.    wt: 1:   12 Why Long Division Works Take III
  208.    wt: 1:   11 Another Single Digit Divisor Example
  209.    wt: 1:   10 Division by Five Long and Short Ways
  210.    wt: 1:   9 Why Long Division Works Take II
  211.    wt: 1:   8 Correcting the Mistake
  212.    wt: 1:   7 Long Divison Mistake Catching
  213.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  214.    wt: 1:   5 Long Division Include Zeroes or not
  215.    wt: 1:   4 Division with 2 Digit Divsors
  216.    wt: 1:   3 Division Single Digit Divisor Example
  217.    wt: 1:   2 Division with Single Digit Divisors
  218.    wt: 1:   1 Divsion Physical Examples
  219.    wt: 1:   D Decimal Multiplication Methods Derived
  220.    wt: 1:   C Counting Areas with Powers of Ten
  221.    wt: 1:   B Powers of Ten
  222.    wt: 1:   A Elementary Basis for Multiplication Methods
  223.    wt: 1:   6 Multiplication Commutes Order Not Important
  224.    wt: 1:   5 Decimal Fraction Multiplication
  225.    wt: 1:   4 Two and Three Digit Multipliers
  226.    wt: 1:   3 More One Digit Multipliers
  227.    wt: 1:   2 One Digit Multipliers
  228.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  229.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  230.    wt: 1:   Video Power Notation in Decimal Expansion
  231.    wt: 1:   1 Why 3 times 5 gives 15
  232.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  233.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  234.    wt: 1:   Subtraction with J Conversions Example
  235.    wt: 1:   Subtraction Another Video Lesson
  236.    wt: 1:   9 22 Minute Subtraction Review Video
  237.    wt: 1:   8 Subtraction with Units of Measure
  238.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  239.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  240.    wt: 1:   5 A Tip for Efficent Subtraction
  241.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  242.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  243.    wt: 1:   2 Subtraction Easy Case Examples
  244.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  245.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  246.    wt: 1:   7 Adding decimal fractions using decimal point
  247.    wt: 1:   6. Counting and adding units and mixed units
  248.    wt: 1:   5. How to add decimals C. Examples
  249.    wt: 1:   4. How to add with decimals B with conversions
  250.    wt: 1:   3. How to add with decimals A sans conversions
  251.    wt: 1:   2 Decimal Counting Practices
  252.    wt: 1:   1. Explaining Addition Table
  253.    wt: 1:   11 Place Value SI Standard International way
  254.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  255.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  256.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  257.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  258.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  259.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  260.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  261.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  262.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  263.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  264.    wt: 1:   Quick history of numbers and algebra
  265.    wt: 1:   Exact Arithmetic Wholes and Fractions
  266.    wt: 1:   Formula Evaluation how to show work
  267.    wt: 1:   Expression Evaluation how to show work
  268.    wt: 1:   The 20 Times Table
  269.    wt: 1:   The 12 Times Table Visually
  270.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  271.    wt: 1:   About folder contents
  272.    wt: 1:   016 Numbering Occidental Calendar Days
  273.    wt: 1:   015 School and work day counting tables
  274.    wt: 1:   014 Counting Days with Calendars
  275.    wt: 1:   013 Travel Time Tables
  276.    wt: 1:   012 Division of Time Intervals by Time Intervals
  277.    wt: 1:   011 Division of Time Intervals By Numbers
  278.    wt: 1:   010 Repeated Addition of Time Intervals
  279.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  280.    wt: 1:   8 Addition of Time Intervals via subtotaling
  281.    wt: 1:   7 Addition of Time Intervals
  282.    wt: 1:   6 How long is a million seconds
  283.    wt: 1:   5 Conversion Arithmetic
  284.    wt: 1:   4 Mixing and Changing Units of Time
  285.    wt: 1:   3 Units and Lengths of Time
  286.    wt: 1:   2 Time and Date Matters in School
  287.    wt: 1:   Postscript More on Better Performance
  288.    wt: 1:   Postscript For Better Performance
  289.    wt: 1:   Appendix E. How To Study Mathematics and Why
  290.    wt: 1:   Appendix D. What to do in School and Why
  291.    wt: 1:   Appendix C. How to Read
  292.    wt: 1:   Appendix B. How To Learn
  293.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  294.    wt: 1:   Chapter 31 Direct and Indirect Reason
  295.    wt: 1:   Chapter 30 Truth Tables
  296.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  297.    wt: 1:   Chapter 28 Occurrence Tables
  298.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  299.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  300.    wt: 1:   Chapter 25. Mathematical Induction Examples
  301.    wt: 1:   Chapter 25. Mathematical Induction Examples
  302.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  303.    wt: 1:   Chapter 23. Notation For Sums
  304.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  305.    wt: 1:   Chapter 21. Third Reading Guide
  306.    wt: 1:   Chapter 20. Degrees and Radians
  307.    wt: 1:   Chapter 19. Functions and Sets
  308.    wt: 1:   Chapter 18. Rules for Algebra
  309.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  310.    wt: 1:   Chapter 16. Painless Theorem Proving
  311.    wt: 1:   Chapter 15. Solving Linear Equations
  312.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  313.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  314.    wt: 1:   Chapter 13. Second Reading Guide
  315.    wt: 1:   Chapter 12. Shorthand Usage Guide
  316.    wt: 1:   Chapter 11. Why Shorthand
  317.    wt: 1:   Chapter 10 Describing and Changing Calculations
  318.    wt: 1:   Postscript What is a Variable
  319.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  320.    wt: 1:   Solutions For Arithmetic Exercises
  321.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  322.    wt: 1:   Chapter 6 Change of Language
  323.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  324.    wt: 1:   Chapter 4 Longer Chains of Reason
  325.    wt: 1:   Chapter 3 Chains of Reason
  326.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  327.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  328.    wt: 1:   Foreword
  329.    wt: 1:   R Why Learn Mathematics Skills
  330.    wt: 1:   L Skills with take home value
  331.    wt: 1:   I. Logic and language skills
  332.    wt: 1:   How to Build Skills and Confidence
  333.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  334.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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