Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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 12+: 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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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  1.    wt: 5:   Volume 1A Regles et modeles/
  2.    wt: 5:   6 Trigonometry first steps/
  3.    wt: 4:   4 Lines and Slopes Take 1/
  4.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  5.    wt: 4:   D Decimal Long Division Methods/
  6.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 3:   8 Unit Circle Trigonometry/
  8.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  9.    wt: 3:   6 Fractions and Ratios/
  10.    wt: 3:   C Decimal Multiplication Methods/
  11.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 3:   A Decimal Counting and Adding Methods/
  13.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  14.    wt: 2:   13 Vectors/
  15.    wt: 2:   12 Function Translating and Rescaling/
  16.    wt: 2:   11 Parallel Straight Lines and Transversals/
  17.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  18.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  19.    wt: 2:   7 Complex Numbers/
  20.    wt: 2:   5 What is Similarity/
  21.    wt: 2:   3 Cartesian and Polar Coordinates/
  22.    wt: 2:   1 Maps Plans Measurement/
  23.    wt: 2:   Geometry maps plans trigonometry vectors/
  24.    wt: 2:   8 Arithmetic with Signed Numbers/
  25.    wt: 2:   7 Arithmetic and Fractions with Units/
  26.    wt: 2:   2 Arithmetic with Decimals/
  27.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  28.    wt: 1:   francais/
  29.    wt: 1:   4 Functions/
  30.    wt: 1:   3 Quadratics Geometrically/
  31.    wt: 1:   A Origins of Counting and Figuring Methods/
  32.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  33.    wt: 1:   4 Computation Rules and Function Notation/
  34.    wt: 1:   Step 4 Gaussian Elimination/
  35.    wt: 1:   1 Working With Sets/
  36.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  37.    wt: 1:   11 Squares and Square Roots/
  38.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  39.    wt: 1:   9 Combinatorics Trees Tables and Products/
  40.    wt: 1:   5 Integers/
  41.    wt: 1:   3 Prime Factorization Skills/
  42.    wt: 1:   1 Decimal Place Value/
  43.    wt: 1:   Arithmetic and Number Theory Skills/
  44.    wt: 1:   5 Lessons on Integration/
  45.    wt: 1:   4 Lessons on Using Derivatives/
  46.    wt: 1:   Volume 2 Three Skills For Algebra/
  47.    wt: 1:   Volume 1A Pattern Based Reason/
  48.    wt: 1:   Mathematics 506 Lessons/
  49.    wt: 1:   Secondary Mathematics A Practical Approach/
  50.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

191 matches:

  1.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 4:   chapitre 04 06 engagements
  3.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 3:   chapitre 04 09 Regles accidentelles
  5.    wt: 3:   chapitre 04 08 Limitations et benefices
  6.    wt: 3:   chapitre 04 04 Parlons de la logique
  7.    wt: 3:   chapitre 04 00 Les regles d implication
  8.    wt: 2:   8 analytic geometry etc
  9.    wt: 2:   chapitre 12 00 les iles et division
  10.    wt: 2:   chapitre 06 00 Chaines de la raison
  11.    wt: 2:   chapitre 04 05 Implication versus suggestion
  12.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  13.    wt: 2:   chapitre 04 02 Deuxieme enigme
  14.    wt: 2:   chapitre 04 01 Premiere enigme
  15.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  16.    wt: 2:   problemes algebre et arithmetique
  17.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  18.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  19.    wt: 2:   Appetizer A Complex Number Applet
  20.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  21.    wt: 2:   3 Counting with Sets etc
  22.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  23.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  24.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  25.    wt: 1:   Appendix 2 primary school Arithmetic 01
  26.    wt: 1:   Skills Chapter 2 Geometry
  27.    wt: 1:   Skills Chapter 1 Arithmetic
  28.    wt: 1:   9 combinatorics probability sets
  29.    wt: 1:   6 polynomials etc
  30.    wt: 1:   5 logarithms and exponentials etc
  31.    wt: 1:   3 Euclidean Geometry Leanly
  32.    wt: 1:   2 arithmetic with signed numbers
  33.    wt: 1:   1 arithmetic with unsigned numbers
  34.    wt: 1:   three goals to set for students
  35.    wt: 1:   how letters appear
  36.    wt: 1:   geometric implications for algebra
  37.    wt: 1:   04 29 New Mathematics Curriculum
  38.    wt: 1:   04 25 when to stop or suspend mathemat
  39.    wt: 1:   How to be a better instructor
  40.    wt: 1:   chapitre 07 01 principle D induction mathematique
  41.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  42.    wt: 1:   chapitre 05 00 Deception
  43.    wt: 1:   chapitre 02 00 La Communication des idees
  44.    wt: 1:   chapitre 01 00 Introduction
  45.    wt: 1:   1 Energy Power Heat06
  46.    wt: 1:   D Energy Power04
  47.    wt: 1:   F Wire Resistance Calculation04
  48.    wt: 1:   17 Math Booklets for children and young teenagers
  49.    wt: 1:   Ages 12 to 14 Geometry
  50.    wt: 1:   Ages 12 to 14 Arithmetic
  51.    wt: 1:   Ages 10 to 12 Geometry
  52.    wt: 1:   Ages 10 to 12 Arithmetic
  53.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  54.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  55.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  56.    wt: 1:   19 Horizontal line rule and method
  57.    wt: 1:   18 Vertical Line Rule and Method
  58.    wt: 1:   11 Function Domain Range Source and Targets
  59.    wt: 1:   9 Set theory term relation possible origins
  60.    wt: 1:   8 Set view of relations and functions
  61.    wt: 1:   6 Set Existence Formation and Notation
  62.    wt: 1:   5 Function notation for geometric transformations
  63.    wt: 1:   1 Geometric Introduction of Function Notation
  64.    wt: 1:   5 quadratics completing the square
  65.    wt: 1:   2 Column Multiplication Method
  66.    wt: 1:   11 Component Method
  67.    wt: 1:   10 Parallelogram Addition Method
  68.    wt: 1:   Vector and Complex Number Applet
  69.    wt: 1:   30 unit circle calculation of six trigonometric functions
  70.    wt: 1:   Unit Circle Development of Trigonometry
  71.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  72.    wt: 1:   8 Unit Circle Development of Trigonometry
  73.    wt: 1:   7 Trignometric Ratios Unit Circle
  74.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  75.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  76.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  77.    wt: 1:   3 Trigonometric Ratios sine and cosine
  78.    wt: 1:   Why Trigonometry the whyslopes view
  79.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  80.    wt: 1:   6 Geometric Diagrams in Class
  81.    wt: 1:   8 Distance Between Points on a Line
  82.    wt: 1:   7 Complex Numbers Appetizer
  83.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  84.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  85.    wt: 1:   PS B Parallelogram Construction Methods
  86.    wt: 1:   PS A Kite Construction Methods
  87.    wt: 1:   16 Angles Subtended By Chords and Diameters
  88.    wt: 1:   3 Isometry of Triangles Congruence
  89.    wt: 1:   2 Correspondence between Triangles
  90.    wt: 1:   Short Course on Euclidean Geometry
  91.    wt: 1:   A Modular and Remainder Arithmetic
  92.    wt: 1:   A Signed Number Arithmetic Review
  93.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  94.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  95.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  96.    wt: 1:   E Long Division Methods more
  97.    wt: 1:   D Long Division Methods
  98.    wt: 1:   C Three Decimal Subtraction Methods
  99.    wt: 1:   A Decimal Addition Columm Methods
  100.    wt: 1:   8 Column Multiplication Methods in General
  101.    wt: 1:   7 Decimals Multiplication Methods Examples
  102.    wt: 1:   6 Column Methods for Decimal Multiplication
  103.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  104.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  105.    wt: 1:   4 Changing Letters
  106.    wt: 1:   3 Geometric Formulas and Function Notation
  107.    wt: 1:   Using Letters for Physical Quantities
  108.    wt: 1:   9 Sets in Probability and Statistics
  109.    wt: 1:   8 Sets of Numbers
  110.    wt: 1:   7 Cautious or Safe Set Construction
  111.    wt: 1:   6 Power Set Notation
  112.    wt: 1:   4 Subset Builder Notation
  113.    wt: 1:   1 Finite Sets
  114.    wt: 1:   3 Adding Words To Arithmetic
  115.    wt: 1:   arithmetic videos Real Player Format
  116.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  117.    wt: 1:   2 Least Common Multiple LCM intro via list method
  118.    wt: 1:   1 Counting and Counting Methods I
  119.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  120.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  121.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  122.    wt: 1:   23 Remainder Arithmetic Modulo 2
  123.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  124.    wt: 1:   21 Remainder Arithmetic Modulo 3
  125.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  126.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  127.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  128.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  129.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  130.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  131.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  132.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  133.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  134.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  135.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  136.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  137.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  138.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  139.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  140.    wt: 1:   5 Remainder Arithmetic Modulo 5
  141.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  142.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  143.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  144.    wt: 1:   1 Remainder Arithmetic Modulo 10
  145.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  146.    wt: 1:   D Decimal Multiplication Methods Derived
  147.    wt: 1:   A Elementary Basis for Multiplication Methods
  148.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  149.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  150.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  151.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  152.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  153.    wt: 1:   Exact Arithmetic Wholes and Fractions
  154.    wt: 1:   5 Conversion Arithmetic
  155.    wt: 1:   Example 1. Area Between x and x squared
  156.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  157.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  158.    wt: 1:   Area Between Curves Lesson Take 2
  159.    wt: 1:   Area Between Curves Lesson Take 1
  160.    wt: 1:   3 Two Chain Rule Method Exercises
  161.    wt: 1:   1 Chain Rule in Reverse Integration Method
  162.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  163.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  164.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  165.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  166.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  167.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  168.    wt: 1:   Chapter 23 Links To Trigonometry
  169.    wt: 1:   Chapter 8. Slope Interpretation
  170.    wt: 1:   Fall 1983 Calculus Appetizer
  171.    wt: 1:   Postscript More on Better Performance
  172.    wt: 1:   Postscript For Better Performance
  173.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  174.    wt: 1:   Chapter 19. Functions and Sets
  175.    wt: 1:   Solutions For Arithmetic Exercises
  176.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  177.    wt: 1:   Chapter 7 Two Treatments of Geometry
  178.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  179.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  180.    wt: 1:   M Words to extend arithmetic
  181.    wt: 1:   Chapter 6 More Algebra and Geometry
  182.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  183.    wt: 1:   Chapter 2 Why Sets
  184.    wt: 1:   Chapter 1 Arithmetic
  185.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  186.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  187.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  188.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  189.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  190.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  191.    wt: 1:   Road Safety Questions

Extended Search

788 matches:

  1.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 9:   chapitre 04 06 engagements
  3.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 8:   chapitre 04 09 Regles accidentelles
  5.    wt: 8:   chapitre 04 08 Limitations et benefices
  6.    wt: 8:   chapitre 04 04 Parlons de la logique
  7.    wt: 8:   chapitre 04 00 Les regles d implication
  8.    wt: 7:   chapitre 12 00 les iles et division
  9.    wt: 7:   chapitre 06 00 Chaines de la raison
  10.    wt: 7:   chapitre 04 05 Implication versus suggestion
  11.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  12.    wt: 7:   chapitre 04 02 Deuxieme enigme
  13.    wt: 7:   chapitre 04 01 Premiere enigme
  14.    wt: 7:   chapitre 03 A Propos Des Prochains Chapitre
  15.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  16.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  17.    wt: 7:   6 Why Decimal Long Division Methods Works Take I
  18.    wt: 6:   chapitre 07 01 principle D induction mathematique
  19.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  20.    wt: 6:   chapitre 05 00 Deception
  21.    wt: 6:   chapitre 02 00 La Communication des idees
  22.    wt: 6:   chapitre 01 00 Introduction
  23.    wt: 6:   7 Trignometric Ratios Unit Circle
  24.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  25.    wt: 6:   3 Trigonometric Ratios sine and cosine
  26.    wt: 6:   Why Trigonometry the whyslopes view
  27.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  28.    wt: 6:   6 Intersection of lines by solving linear systems
  29.    wt: 6:   4 Equations for lines three forms
  30.    wt: 6:   23 Remainder Arithmetic Modulo 2
  31.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  32.    wt: 6:   21 Remainder Arithmetic Modulo 3
  33.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  34.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  35.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  36.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  37.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  38.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  39.    wt: 6:   4 Division with 2 Digit Divsors
  40.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  41.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  42.    wt: 5:   8 Triangles Cascade Problem Solving
  43.    wt: 5:   2 Similar Triangles Equality of Corresponding Side Ratios
  44.    wt: 5:   1 Angle Measurement with Degrees
  45.    wt: 5:   6 Ruler and compass Angle Bisection
  46.    wt: 5:   4 Side Side Side
  47.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  48.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  49.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  50.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  51.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  52.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  53.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  54.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  55.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  56.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  57.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  58.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  59.    wt: 5:   5 Remainder Arithmetic Modulo 5
  60.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  61.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  62.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  63.    wt: 5:   1 Remainder Arithmetic Modulo 10
  64.    wt: 5:   6 Multiplication Commutes Order Not Important
  65.    wt: 5:   4 Two and Three Digit Multipliers
  66.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  67.    wt: 4:   6 Set Existence Formation and Notation
  68.    wt: 4:   4 Resultant of a Sum of Movements
  69.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  70.    wt: 4:   30 unit circle calculation of six trigonometric functions
  71.    wt: 4:   9 Graphs of sine and cosine over one period
  72.    wt: 4:   7 period of sine and cosine
  73.    wt: 4:   Unit Circle Development of Trigonometry
  74.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  75.    wt: 4:   6 Field Properties of Complex Number
  76.    wt: 4:   4 Multiplication Properties
  77.    wt: 4:   Appetizer A Complex Number Applet
  78.    wt: 4:   6 Geometric Diagrams in Class
  79.    wt: 4:   Four Simple Exercises
  80.    wt: 4:   12 Links Lessons elsewhere
  81.    wt: 4:   11 A Partial Summary
  82.    wt: 4:   10 Midpoint of [a b] and [b a]
  83.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  84.    wt: 4:   8 Mid Point Formula
  85.    wt: 4:   7 Exercises to test skill and concept mastery
  86.    wt: 4:   5 Algebraic View of Slopes
  87.    wt: 4:   3 Slope product for perpendicular lines
  88.    wt: 4:   2 point slope equation for a line
  89.    wt: 4:   1 Numerical view of lines and their equations
  90.    wt: 4:   What is and is not here
  91.    wt: 4:   6 Polar Multiplication and Rotation
  92.    wt: 4:   4 Polar Coordinates to and from
  93.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  94.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  95.    wt: 4:   PS B Parallelogram Construction Methods
  96.    wt: 4:   PS A Kite Construction Methods
  97.    wt: 4:   16 Angles Subtended By Chords and Diameters
  98.    wt: 4:   3 Isometry of Triangles Congruence
  99.    wt: 4:   2 Correspondence between Triangles
  100.    wt: 4:   Short Course on Euclidean Geometry
  101.    wt: 4:   6 Column Methods for Decimal Multiplication
  102.    wt: 4:   6 adding signed numbers
  103.    wt: 4:   4 signed coordinates for regions in space
  104.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  105.    wt: 4:   9 Improper Fractions and Mixed Numbers
  106.    wt: 4:   8 Numerals Fractionals Quantals Take II
  107.    wt: 4:   7 Numerals Fractionals Quantals
  108.    wt: 4:   6 Multiplication of Mixed Numbers
  109.    wt: 4:   6 Multiplication Algebraically Take II
  110.    wt: 4:   4 Fraction Multiplication
  111.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  112.    wt: 4:   26 Divisibility by 2 3 5 Example
  113.    wt: 4:   Long Division Backwards more
  114.    wt: 4:   Long Division Backward
  115.    wt: 4:   Division with Counts and Length
  116.    wt: 4:   Long Division forwards and backwards Example 3
  117.    wt: 4:   Long Division forwards and backwards Example 2
  118.    wt: 4:   Long Division forwards and backwards Example 1
  119.    wt: 4:   12 Why Long Division Works Take III
  120.    wt: 4:   11 Another Single Digit Divisor Example
  121.    wt: 4:   10 Division by Five Long and Short Ways
  122.    wt: 4:   9 Why Long Division Works Take II
  123.    wt: 4:   8 Correcting the Mistake
  124.    wt: 4:   7 Long Divison Mistake Catching
  125.    wt: 4:   5 Long Division Include Zeroes or not
  126.    wt: 4:   3 Division Single Digit Divisor Example
  127.    wt: 4:   2 Division with Single Digit Divisors
  128.    wt: 4:   1 Divsion Physical Examples
  129.    wt: 4:   D Decimal Multiplication Methods Derived
  130.    wt: 4:   A Elementary Basis for Multiplication Methods
  131.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  132.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  133.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  134.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  135.    wt: 4:   6. Counting and adding units and mixed units
  136.    wt: 4:   4. How to add with decimals B with conversions
  137.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  138.    wt: 3:   problemes algebre et arithmetique
  139.    wt: 3:   4 Function notation in and beyond mathematics
  140.    wt: 3:   16 cotangent function Definition Graph and Inverse
  141.    wt: 3:   15 cosecant function Definition Graph and Inverse
  142.    wt: 3:   14 secant function Definition Graph and Inverse
  143.    wt: 3:   13 cosecant function Definition Graph and Inverse
  144.    wt: 3:   12 motivation for term arctan
  145.    wt: 3:   11 arctan left inverse of tangent Graph
  146.    wt: 3:   10 arctan left inverse of tangent Definition
  147.    wt: 3:   9 motivation for name arcsin
  148.    wt: 3:   8 arcsin left inverse of sine Graph
  149.    wt: 3:   7 arcsin left inverse of sine Definition
  150.    wt: 3:   6 Graph of arccos function
  151.    wt: 3:   5 Swapping Coordinates is a reflection
  152.    wt: 3:   4 possible motivation for term arccos
  153.    wt: 3:   3 Left Inverse of cosine arccos definition
  154.    wt: 3:   2 cosine function more properties
  155.    wt: 3:   1 cosine function properties
  156.    wt: 3:   11 Component Method
  157.    wt: 3:   10 Parallelogram Addition Method
  158.    wt: 3:   6 Vectors with Coordinates
  159.    wt: 3:   5 Head To Tail Arrow Addition
  160.    wt: 3:   Vector and Complex Number Applet
  161.    wt: 3:   4 graphing y=Asin(x c)
  162.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  163.    wt: 3:   Straight Lines ASA Intersection Study More
  164.    wt: 3:   Straight Lines ASA Intersection Study
  165.    wt: 3:   Straight Lines Instersection Solving Equations
  166.    wt: 3:   17 tangent function angle sum formulas
  167.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  168.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  169.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  170.    wt: 3:   32 seven rows of pascals triangle
  171.    wt: 3:   31 basic secant cosecant cotangent trig identities
  172.    wt: 3:   29 secant cosecant and cotangent for acute angles
  173.    wt: 3:   28 Expressing products of sines cosines as sums
  174.    wt: 3:   27 Logarithmic use of products of sines and cosines
  175.    wt: 3:   26 Formulas for products of sines and cosines
  176.    wt: 3:   25 tangent double angle formula Slope connection
  177.    wt: 3:   24 tangent Angle Difference Formula
  178.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  179.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  180.    wt: 3:   21 sine and cosine Half Angle Formulas
  181.    wt: 3:   20 sine and cosine Double Angle Formulas
  182.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  183.    wt: 3:   18 sum of sinusoidal waves as a single wave
  184.    wt: 3:   17G Pythagorean Theorem Converse
  185.    wt: 3:   17F Law of cosines
  186.    wt: 3:   17E Trig Formulas for dot and cross Products
  187.    wt: 3:   17D cis formulas for sine cosines and tangent
  188.    wt: 3:   17C sine and cosine double triple angle formulas
  189.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  190.    wt: 3:   17A The complex number valued trig function cis
  191.    wt: 3:   16 Right Triangle Complementary Angle Relations
  192.    wt: 3:   15 sine cosine Complementary Angle Relations
  193.    wt: 3:   14 cosine even and sine and tangent are odd
  194.    wt: 3:   13 Graph of tangent function many periods
  195.    wt: 3:   12 Graph of tangent function for one period
  196.    wt: 3:   11 tangent function undefined when terminal side vertical
  197.    wt: 3:   10 Graphs of sines and cosines many periods
  198.    wt: 3:   8 period of tangent function
  199.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  200.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  201.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  202.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  203.    wt: 3:   2 Quadrant I reference Angles
  204.    wt: 3:   1 Unit Points Reflections Rotations
  205.    wt: 3:   8 Unit Circle Development of Trigonometry
  206.    wt: 3:   4 Similarity Definition with Coordinate
  207.    wt: 3:   8 Distance Between Points on a Line
  208.    wt: 3:   7 Complex Numbers Appetizer
  209.    wt: 3:   PS H Distributive Law For Complex Numbers
  210.    wt: 3:   PS G Rotation Distributes over Addition
  211.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  212.    wt: 3:   PS E Multiplication with Polar Coordinates
  213.    wt: 3:   PS D Addition with Cartesian Coordinates
  214.    wt: 3:   21 Parallelograms
  215.    wt: 3:   19 Right Triangle Similarity
  216.    wt: 3:   18 Triangle Similarity Take 1
  217.    wt: 3:   17 Right Bisectors of Triangle Sides
  218.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  219.    wt: 3:   14 Parallel Lines Postulate
  220.    wt: 3:   13 Angle Side Angle Failure
  221.    wt: 3:   12 Side Angle Side Failure
  222.    wt: 3:   11 Triangle Construction Fails
  223.    wt: 3:   10 Dropping a perpendicular to line
  224.    wt: 3:   9 Construction of a right bisector
  225.    wt: 3:   8 Isoceles Triangles
  226.    wt: 3:   7 Angle Side Angle
  227.    wt: 3:   5 Side Angle Side
  228.    wt: 3:   1 Initial Concepts and Terms
  229.    wt: 3:   6 Figuring with Maps Not to Scale
  230.    wt: 3:   4 Angles on Maps Plans drawn to scale
  231.    wt: 3:   4 Commutative Law Groups Counting Form
  232.    wt: 3:   4 Changing Letters
  233.    wt: 3:   4 GE III Animated Examples
  234.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  235.    wt: 3:   6 Power Set Notation
  236.    wt: 3:   4 Subset Builder Notation
  237.    wt: 3:   3 Counting with Sets etc
  238.    wt: 3:   4 Greater More Less Than Signs in General
  239.    wt: 3:   2 Least Common Multiple LCM intro via list method
  240.    wt: 3:   D Three Term Ratios
  241.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  242.    wt: 3:   B Fractions and Two Term Ratios
  243.    wt: 3:   22 Complex Compound Fractions
  244.    wt: 3:   21 Working With Signs
  245.    wt: 3:   21 Reciprocals for Fractions and Wholes
  246.    wt: 3:   20 Dividing Fractions the Why
  247.    wt: 3:   19 Dividing Fractions How TO
  248.    wt: 3:   18 Efficient Ways to Multiply
  249.    wt: 3:   17 Efficient Ways to Add and Subtract
  250.    wt: 3:   16 Addition Subtraction Comparision Compared
  251.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  252.    wt: 3:   14 Adding and Subtracting with Like Denominators
  253.    wt: 3:   13 Fraction Comparison Algebraic View
  254.    wt: 3:   12 Fraction Comparison
  255.    wt: 3:   11 Simplification an Algebraic View
  256.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  257.    wt: 3:   5 Equivalent Fractions
  258.    wt: 3:   3 Unit fraction of a fraction
  259.    wt: 3:   2 Unit Fraction Multiplication
  260.    wt: 3:   1 What is a fraction Take II
  261.    wt: 3:   1 What is a fraction
  262.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  263.    wt: 3:   6 Multiplication by Natural Numbers
  264.    wt: 3:   4 Adding Movements wiht opposite directions
  265.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  266.    wt: 3:   4 video Prime Factorization Introduction
  267.    wt: 3:   C Counting Areas with Powers of Ten
  268.    wt: 3:   B Powers of Ten
  269.    wt: 3:   5 Decimal Fraction Multiplication
  270.    wt: 3:   3 More One Digit Multipliers
  271.    wt: 3:   2 One Digit Multipliers
  272.    wt: 3:   Video Power Notation in Decimal Expansion
  273.    wt: 3:   1 Why 3 times 5 gives 15
  274.    wt: 3:   Subtraction with J Conversions Example
  275.    wt: 3:   Subtraction Another Video Lesson
  276.    wt: 3:   9 22 Minute Subtraction Review Video
  277.    wt: 3:   8 Subtraction with Units of Measure
  278.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  279.    wt: 3:   5 A Tip for Efficent Subtraction
  280.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  281.    wt: 3:   2 Subtraction Easy Case Examples
  282.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  283.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  284.    wt: 3:   8 What skills and work habits to require
  285.    wt: 3:   7 Adding decimal fractions using decimal point
  286.    wt: 3:   5. How to add decimals C. Examples
  287.    wt: 3:   3. How to add with decimals A sans conversions
  288.    wt: 3:   2 Decimal Counting Practices
  289.    wt: 3:   1. Explaining Addition Table
  290.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  291.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  292.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  293.    wt: 3:   4 Definite Integrals Evaluation Exercises
  294.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  295.    wt: 3:   Chapter 23 Links To Trigonometry
  296.    wt: 3:   Chapter 8. Slope Interpretation
  297.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  298.    wt: 3:   Chapter 4. More Slope Sign Analysis
  299.    wt: 3:   Fall 1983 Calculus Appetizer
  300.    wt: 3:   Chapter 6 More Algebra and Geometry
  301.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  302.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  303.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  304.    wt: 2:   8 analytic geometry etc
  305.    wt: 2:   6 polynomials etc
  306.    wt: 2:   geometric implications for algebra
  307.    wt: 2:   logique deux enigme
  308.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  309.    wt: 2:   4 Learning Takes Time and Effort
  310.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  311.    wt: 2:   19 Horizontal line rule and method
  312.    wt: 2:   18 Vertical Line Rule and Method
  313.    wt: 2:   11 Function Domain Range Source and Targets
  314.    wt: 2:   9 Set theory term relation possible origins
  315.    wt: 2:   8 Set view of relations and functions
  316.    wt: 2:   5 Function notation for geometric transformations
  317.    wt: 2:   1 Geometric Introduction of Function Notation
  318.    wt: 2:   6 quadratics numerical approach
  319.    wt: 2:   5 quadratics completing the square
  320.    wt: 2:   4 quadratics difference of two squares
  321.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  322.    wt: 2:   9 Summary Degrees to Radians and back
  323.    wt: 2:   8 Radian Measures of Common Angles
  324.    wt: 2:   7 Radian Measures in special Triangles
  325.    wt: 2:   6 Radian Measure to Degrees
  326.    wt: 2:   5 Degrees to Radian Measure
  327.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  328.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  329.    wt: 2:   2 Radian Measure Numerical Value of one degree
  330.    wt: 2:   1 Degrees and Radians Introduction
  331.    wt: 2:   A Global Time and Navigation
  332.    wt: 2:   15 Dot and Cross Product
  333.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  334.    wt: 2:   13 Velocity Vectors in Physics
  335.    wt: 2:   12 From Applied To Pure Mathematics
  336.    wt: 2:   9 Head to Tail Coordinate View
  337.    wt: 2:   8 Parallel Vectors
  338.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  339.    wt: 2:   3 Navigation with Arrows or Vectors
  340.    wt: 2:   2 Signed Coordinates
  341.    wt: 2:   1 Unsigned Coordinates
  342.    wt: 2:   3 graphing y=f(x c) plus K
  343.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  344.    wt: 2:   1 graphing y=f(x a)
  345.    wt: 2:   Parallel Lines and Parallel Transversals
  346.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  347.    wt: 2:   Triangle Angles Sum To 180 Degrees
  348.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  349.    wt: 2:   Parallel Lines and Interior Angles
  350.    wt: 2:   Straight Lines Intersection of
  351.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  352.    wt: 2:   C Straight Lines Slope from Coordinates
  353.    wt: 2:   B Straight Line Slope Scaling Properties More
  354.    wt: 2:   A Straight Line Slope Scaling Properties
  355.    wt: 2:   14 Straight Lines Equations General Case
  356.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  357.    wt: 2:   12 Straight Lines Graphing mx plus b
  358.    wt: 2:   11 Straight Lines Graphing y=mx
  359.    wt: 2:   10 Straight Lines through Origin Equations More
  360.    wt: 2:   9 Straight Lines through Origin Equations
  361.    wt: 2:   8 Straight Lines Equation for vertical
  362.    wt: 2:   7 Tangent Function is odd on this domain
  363.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  364.    wt: 2:   5 Tangent Function Graph
  365.    wt: 2:   4 Tangent Function Properties
  366.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  367.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  368.    wt: 2:   1 Straight Lines Slope Concept
  369.    wt: 2:   21 Logarithms Powers and Exponentials
  370.    wt: 2:   20 N th Roots of Complex Numbers
  371.    wt: 2:   19 N th Roots of Unity
  372.    wt: 2:   18 Sixth Roots of Unity
  373.    wt: 2:   17 Cube Roots of unity
  374.    wt: 2:   16 References and Originality Question
  375.    wt: 2:   15 Pythagorean Theorem Converse
  376.    wt: 2:   14 Law of cosines
  377.    wt: 2:   13 Trig Formulas for dot and cross Products
  378.    wt: 2:   12 cis formulas for sine cosines and tangent
  379.    wt: 2:   11 sine and cosine double triple angle formulas
  380.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  381.    wt: 2:   9 The complex number valued trig function cis
  382.    wt: 2:   7 Second Way to Calculate Products
  383.    wt: 2:   5 An Easy Proof of the Distributive Law
  384.    wt: 2:   3 Addition Properties
  385.    wt: 2:   2 Complex Numbers made easier we hope
  386.    wt: 2:   1 Rectangular Polar Coordinates Review
  387.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  388.    wt: 2:   12 Triangles Similarity More Problems
  389.    wt: 2:   11 Triangle Similarity Missing Side Problem
  390.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  391.    wt: 2:   9 Similarity of Triangles Usual Criteria
  392.    wt: 2:   8 Similarity of Triangles and Polygons
  393.    wt: 2:   7 Translations Rotations Reflections Dilatations
  394.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  395.    wt: 2:   3 Similarity by Design with coordinates
  396.    wt: 2:   2 Similarity By Design
  397.    wt: 2:   1 Early Concept of Like or Similar Shapes
  398.    wt: 2:   13 Pythagorean spatial distance formulas
  399.    wt: 2:   12 Spatial Coordinates
  400.    wt: 2:   11 Triangle Inequality
  401.    wt: 2:   10 Pythagorean plane distance formula
  402.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  403.    wt: 2:   5 Cartesian Addition and Translation
  404.    wt: 2:   3 Rectangular Coordinates Review
  405.    wt: 2:   2 Cartesian Coordinates with signs
  406.    wt: 2:   1 Cartesian Coordinates sans signs
  407.    wt: 2:   A Measurement with Ruler Proper Use
  408.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  409.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  410.    wt: 2:   3 Lengths and Areas on Maps and Plans
  411.    wt: 2:   2 Measuring Area Directly
  412.    wt: 2:   1 Length Measurement
  413.    wt: 2:   About Folder Contents
  414.    wt: 2:   E Long Division Methods more
  415.    wt: 2:   D Long Division Methods
  416.    wt: 2:   C Three Decimal Subtraction Methods
  417.    wt: 2:   A Decimal Addition Columm Methods
  418.    wt: 2:   8 Column Multiplication Methods in General
  419.    wt: 2:   7 Decimals Multiplication Methods Examples
  420.    wt: 2:   4 Rates Ratios and Proporitionality
  421.    wt: 2:   4 Comparison of Negative Numbers
  422.    wt: 2:   3 Geometric Formulas and Function Notation
  423.    wt: 2:   4 Solving a triangular system exercise
  424.    wt: 2:   6 Algebraic Solution Example
  425.    wt: 2:   4 Four Examples Fractional Coefficients
  426.    wt: 2:   6 Three Examples
  427.    wt: 2:   4 Two Examples
  428.    wt: 2:   9 Sets in Probability and Statistics
  429.    wt: 2:   8 Sets of Numbers
  430.    wt: 2:   7 Cautious or Safe Set Construction
  431.    wt: 2:   1 Finite Sets
  432.    wt: 2:   arithmetic videos Real Player Format
  433.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  434.    wt: 2:   6 GCD from Prime
  435.    wt: 2:   5 Common Divisors 60 45 via Prime
  436.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  437.    wt: 2:   12 GCD 2700 288 via Prime
  438.    wt: 2:   1 Counting and Counting Methods I
  439.    wt: 2:   11 What are real lengths and numbers
  440.    wt: 2:   10 dividing signed numbers
  441.    wt: 2:   9 subtracting signed numbers
  442.    wt: 2:   8 multiplying signed numbers
  443.    wt: 2:   7 negative and additive inverse
  444.    wt: 2:   5 lengths and signs of numbers
  445.    wt: 2:   3 signed coordinates for maps and planes
  446.    wt: 2:   2 signed and unsigned numbers as coordinates
  447.    wt: 2:   7 Converting or Changing Units
  448.    wt: 2:   6 Simplification of Fractions with Units
  449.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  450.    wt: 2:   4 Fractions with Units
  451.    wt: 2:   3 Multiplying Units and Numbers
  452.    wt: 2:   2 Equality and Units
  453.    wt: 2:   1 Addition and Subtraction with Units
  454.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  455.    wt: 2:   Exact Arithmetic Wholes and Fractions
  456.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  457.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  458.    wt: 2:   Area Between Curves Lesson Take 2
  459.    wt: 2:   A Related Material in Volume 3
  460.    wt: 2:   3 Two Chain Rule Method Exercises
  461.    wt: 2:   2 Indefinite Integrals Exercises
  462.    wt: 2:   1 Chain Rule in Reverse Integration Method
  463.    wt: 2:   4 Second derivative test exercise example
  464.    wt: 2:   3 Second derivative test
  465.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  466.    wt: 2:   6 Continuity at a point
  467.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  468.    wt: 2:   Chapter 22 Complex Numbers
  469.    wt: 2:   Chapter 21 Arrow Addition
  470.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  471.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  472.    wt: 2:   Chapter 18. Slopes Areas Integration
  473.    wt: 2:   Chapter 17. Area Approximation
  474.    wt: 2:   Chapter 16. Velocity Approximation
  475.    wt: 2:   Chapter 15. Slope Approximation
  476.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  477.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  478.    wt: 2:   Chapter 13. Acceleration
  479.    wt: 2:   Chapter 12. Units and Slopes
  480.    wt: 2:   Chapter 11. Graphing Slope versus Position
  481.    wt: 2:   Chapter 10 Slopes and Units
  482.    wt: 2:   Chapter 9 About First Courses in Calculus
  483.    wt: 2:   Chapter 7 Slopes and Velocity
  484.    wt: 2:   Chapter 5. Slope Sign Tests
  485.    wt: 2:   Chapter 3. Slope Sign Analysis
  486.    wt: 2:   Chapter 2. Slopes and Ski Trails
  487.    wt: 2:   Chapter 1.Introduction
  488.    wt: 2:   Foreword
  489.    wt: 2:   Postscript More on Better Performance
  490.    wt: 2:   Postscript For Better Performance
  491.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  492.    wt: 2:   Chapter 19. Functions and Sets
  493.    wt: 2:   Solutions For Arithmetic Exercises
  494.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  495.    wt: 2:   Chapter 6 Change of Language
  496.    wt: 2:   Chapter 4 Longer Chains of Reason
  497.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  498.    wt: 2:   Chapter 6 Chains of Reason
  499.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  500.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  501.    wt: 2:   Chapter 2 Why Sets
  502.    wt: 2:   Chapter 1 Arithmetic
  503.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  504.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  505.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  506.    wt: 1:   Appendix 2 primary school Arithmetic 01
  507.    wt: 1:   Skills Chapter 2 Geometry
  508.    wt: 1:   Skills Chapter 1 Arithmetic
  509.    wt: 1:   9 combinatorics probability sets
  510.    wt: 1:   5 logarithms and exponentials etc
  511.    wt: 1:   4 algebra
  512.    wt: 1:   3 Euclidean Geometry Leanly
  513.    wt: 1:   2 arithmetic with signed numbers
  514.    wt: 1:   1 arithmetic with unsigned numbers
  515.    wt: 1:   three goals to set for students
  516.    wt: 1:   Teach the teachers plus goals
  517.    wt: 1:   site eurekas
  518.    wt: 1:   how letters appear
  519.    wt: 1:   teaching tips
  520.    wt: 1:   04 29 New Mathematics Curriculum
  521.    wt: 1:   04 25 when to stop or suspend mathemat
  522.    wt: 1:   Operational Viewpoint to Value
  523.    wt: 1:   Education in mathematics science and technology
  524.    wt: 1:   How to be a better instructor
  525.    wt: 1:   Motivation and Context Problem
  526.    wt: 1:   Leaner mathematics curriculum
  527.    wt: 1:   liens
  528.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  529.    wt: 1:   problemes responses
  530.    wt: 1:   Trois Notions qui menent a algebre
  531.    wt: 1:   deux definitions pour variable
  532.    wt: 1:   4 Energy Power Heat09
  533.    wt: 1:   1 Energy Power Heat06
  534.    wt: 1:   D Energy Power04
  535.    wt: 1:   F Wire Resistance Calculation04
  536.    wt: 1:   E Kirchoffs Second Law
  537.    wt: 1:   C Electromotive force conventional current02
  538.    wt: 1:   17 Math Booklets for children and young teenagers
  539.    wt: 1:   Ages 12 to 14 Geometry
  540.    wt: 1:   Ages 12 to 14 Arithmetic
  541.    wt: 1:   Ages 10 to 12 Geometry
  542.    wt: 1:   Ages 10 to 12 Arithmetic
  543.    wt: 1:   Ages 4 plus to 5 plus
  544.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  545.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  546.    wt: 1:   26 Function definitions done and coming
  547.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  548.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  549.    wt: 1:   23 Inverse Functions
  550.    wt: 1:   22 Square Root function graphically
  551.    wt: 1:   20 Interchanging coordinates a reflection
  552.    wt: 1:   17 Function maxima minima and their location
  553.    wt: 1:   16 Increasing or decreasing on intervals
  554.    wt: 1:   15 Sign analysis of functions
  555.    wt: 1:   14 Surjections Injections Bijections
  556.    wt: 1:   13 From one to one to many to one
  557.    wt: 1:   12 Function Domain Recognition Exercises
  558.    wt: 1:   10 Interval Notation
  559.    wt: 1:   7 Functions with finite domains
  560.    wt: 1:   3 Formula or function graphing exercise
  561.    wt: 1:   2 Algebraic use of function notation
  562.    wt: 1:   Introduction Reading Guide
  563.    wt: 1:   A Quadratics Summary
  564.    wt: 1:   10 quadratic exercises
  565.    wt: 1:   9 quadratics physical and further context
  566.    wt: 1:   8 quadratics backward use of various formulas
  567.    wt: 1:   7 quadratic formulla derivation
  568.    wt: 1:   3 quadratics factoring by inspection
  569.    wt: 1:   2 quadratics graphing in general
  570.    wt: 1:   1 quadratics graphing exercises
  571.    wt: 1:   Quadratics in 10 steps
  572.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  573.    wt: 1:   4 Polynomials Long division linear divisor
  574.    wt: 1:   2 Column Multiplication Method
  575.    wt: 1:   A Modular and Remainder Arithmetic
  576.    wt: 1:   A Signed Number Arithmetic Review
  577.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  578.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  579.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  580.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  581.    wt: 1:   4 Location of Point in Decimal Addition
  582.    wt: 1:   B Decimal Comparison and Subtraction
  583.    wt: 1:   5 Distributive Law for Whole Numbers
  584.    wt: 1:   3 Multiplicative Counting Skills Principles
  585.    wt: 1:   2 Combing Counts Addition Skills and Principles
  586.    wt: 1:   1 The Counting Origins of Numbers
  587.    wt: 1:   4 Fraction Operations Axiomatic Development
  588.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  589.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  590.    wt: 1:   6 Compound Interest Forward and Backwards
  591.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  592.    wt: 1:   6 Equations and Systems Equivalent or Implied
  593.    wt: 1:   4 Subtraction and Division Axioms
  594.    wt: 1:   5 Greater More Less Than Signs in General
  595.    wt: 1:   3 More and Less Than with Unlike Signs
  596.    wt: 1:   2 More and Less Than for Counts and Measures
  597.    wt: 1:   1 Real Numbers Comparison
  598.    wt: 1:   6 Unsigned Real Numbers
  599.    wt: 1:   4 Rational Numbers
  600.    wt: 1:   5 Independent versus Dependent Variables
  601.    wt: 1:   2 Computation Rules Evaluation
  602.    wt: 1:   1 Formulas Dependence and Function Notation
  603.    wt: 1:   Simple Exercises
  604.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  605.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  606.    wt: 1:   3 GE III Equation Addition and Multiplication
  607.    wt: 1:   2 GE II Comparison
  608.    wt: 1:   1 GE Substitution four examples
  609.    wt: 1:   Using Letters for Physical Quantities
  610.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  611.    wt: 1:   4 Circle Area Formula Example
  612.    wt: 1:   5 Product Builder Notation
  613.    wt: 1:   2 Venn Diagrams
  614.    wt: 1:   6 Three Notions of What is a Variable
  615.    wt: 1:   4 A Brief Story of numbers and algebra
  616.    wt: 1:   3 Adding Words To Arithmetic
  617.    wt: 1:   3 Comparison of Negative Numbers
  618.    wt: 1:   2 More and Less Than with Unlike Signs
  619.    wt: 1:   1 More and Less Than for Counts and Measures
  620.    wt: 1:   5 Square Roots with primes more still
  621.    wt: 1:   4 Square Roots with primes more
  622.    wt: 1:   3 Properties of Square Roots with example
  623.    wt: 1:   2 Square Roots with Prime
  624.    wt: 1:   1 Squares and Square Roots Introduction
  625.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  626.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  627.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  628.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  629.    wt: 1:   13 GCD from given Prime Factorization
  630.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  631.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  632.    wt: 1:   8 GCD from Euclidean Algorithm
  633.    wt: 1:   7 GCD and LCM from prime factorization
  634.    wt: 1:   4 LCM of 8 and 10 via Prime
  635.    wt: 1:   1 Least Common Multiples LCM Introduction
  636.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  637.    wt: 1:   4 Counting with Trees Product Rule Take I
  638.    wt: 1:   3 Counting with Tables and Trees II
  639.    wt: 1:   2 Counting with Tables and Trees I
  640.    wt: 1:   D Remainders Modulo 11 Pair Rule
  641.    wt: 1:   B Integer Long Division Multiple Choices
  642.    wt: 1:   A Associative Law Theorectical Note
  643.    wt: 1:   13 Subtraction with Additive Inverse
  644.    wt: 1:   12 Adding Integers More Examples
  645.    wt: 1:   11 Adding Integers Formulas and Examples
  646.    wt: 1:   10 Integer Multiplication Formulas
  647.    wt: 1:   9 Multiplying Integers
  648.    wt: 1:   8 Multiplication by Signed Numbers Integers
  649.    wt: 1:   7 Multiplication by Signs
  650.    wt: 1:   5 Zero Movement and Additive Inverses
  651.    wt: 1:   3 Adding Movements with same direction
  652.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  653.    wt: 1:   1 Integers as Coordinates
  654.    wt: 1:   20 Uniqueness of Prime Factorization
  655.    wt: 1:   19 video Prime Factorization Unique
  656.    wt: 1:   18 video Count Factors given Prime Factorization
  657.    wt: 1:   17 Identify and Count Factors using Primes
  658.    wt: 1:   16 video Factors of 980 using prime
  659.    wt: 1:   15 video Factors of 20 using Prime Factorization
  660.    wt: 1:   14 video Factors of 24 Take II
  661.    wt: 1:   13 video Factors of 24 using prime
  662.    wt: 1:   12 LCD GCD and LCM using Primes
  663.    wt: 1:   11 Efficient Square Rule Use
  664.    wt: 1:   10 video Prime Factorization upto 23 squared
  665.    wt: 1:   9 video Prime Factorization upto 19 squared
  666.    wt: 1:   8 video Prime Factorization upto 19
  667.    wt: 1:   7 Calculator Usage Notes and Cautions
  668.    wt: 1:   5 Prime Factorization and a Square Rule
  669.    wt: 1:   3 video Primes and Composites from 9 times table
  670.    wt: 1:   2 Prime and Composites less than 16
  671.    wt: 1:   1 video how Products are bigger than factor
  672.    wt: 1:   11 Place Value SI Standard International way
  673.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  674.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  675.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  676.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  677.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  678.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  679.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  680.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  681.    wt: 1:   Quick history of numbers and algebra
  682.    wt: 1:   Formula Evaluation how to show work
  683.    wt: 1:   Expression Evaluation how to show work
  684.    wt: 1:   The 20 Times Table
  685.    wt: 1:   The 12 Times Table Visually
  686.    wt: 1:   About folder contents
  687.    wt: 1:   6 How long is a million seconds
  688.    wt: 1:   5 Conversion Arithmetic
  689.    wt: 1:   4 Mixing and Changing Units of Time
  690.    wt: 1:   Example 2 volume of a cone
  691.    wt: 1:   Example 1 volume of a pyramid
  692.    wt: 1:   Volume of Solid by Cross Sections Lesson
  693.    wt: 1:   Example 1. Area Between x and x squared
  694.    wt: 1:   Area Between Curves Lesson Take 1
  695.    wt: 1:   5 Area Under Curve Exercise
  696.    wt: 1:   A Related lessons in Volume 3
  697.    wt: 1:   2 Second derivative test prequel
  698.    wt: 1:   14 sine and cosine derivatives 2nd step
  699.    wt: 1:   13 sine and cosine derivatives 1st step
  700.    wt: 1:   6 Power rule from product rule
  701.    wt: 1:   4 Sum Rule
  702.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  703.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  704.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  705.    wt: 1:   4 Numerical properties
  706.    wt: 1:   D2 Limits of Monotone Sequences
  707.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  708.    wt: 1:   C Triangle Inequalities
  709.    wt: 1:   Appendix E. How To Study Mathematics and Why
  710.    wt: 1:   Appendix D. What to do in School and Why
  711.    wt: 1:   Appendix C. How to Read
  712.    wt: 1:   Appendix B. How To Learn
  713.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  714.    wt: 1:   Chapter 31 Direct and Indirect Reason
  715.    wt: 1:   Chapter 30 Truth Tables
  716.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  717.    wt: 1:   Chapter 28 Occurrence Tables
  718.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  719.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  720.    wt: 1:   Chapter 25. Mathematical Induction Examples
  721.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  722.    wt: 1:   Chapter 23. Notation For Sums
  723.    wt: 1:   Chapter 21. Third Reading Guide
  724.    wt: 1:   Chapter 20. Degrees and Radians
  725.    wt: 1:   Chapter 18. Rules for Algebra
  726.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  727.    wt: 1:   Chapter 16. Painless Theorem Proving
  728.    wt: 1:   Chapter 15. Solving Linear Equations
  729.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  730.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  731.    wt: 1:   Chapter 13. Second Reading Guide
  732.    wt: 1:   Chapter 12. Shorthand Usage Guide
  733.    wt: 1:   Chapter 11. Why Shorthand
  734.    wt: 1:   Chapter 10 Describing and Changing Calculations
  735.    wt: 1:   Postscript What is a Variable
  736.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  737.    wt: 1:   Chapter 8 Three Skills For Algebra
  738.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  739.    wt: 1:   Chapter 3 Chains of Reason
  740.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  741.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  742.    wt: 1:   Foreword
  743.    wt: 1:   Chapter 7 Two Treatments of Geometry
  744.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  745.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  746.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  747.    wt: 1:   Postscript C Consistency as a Tool for Reason
  748.    wt: 1:   Postscript B More on Story Telling and Reason
  749.    wt: 1:   Postscript A Story Telling
  750.    wt: 1:   Chapter 24 Direct and Indirect Reason
  751.    wt: 1:   Chapter 23 Truth Tables
  752.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  753.    wt: 1:   Chapter 21 Occurrence Tables
  754.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  755.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  756.    wt: 1:   Chapter 18 Sense and Knowledge
  757.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  758.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  759.    wt: 1:   Chapter 15 Objective Processes
  760.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  761.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  762.    wt: 1:   Chapter 11 Accidental Patterns
  763.    wt: 1:   Chapter 10 Responsibility
  764.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  765.    wt: 1:   Chapter 8 Change of Language
  766.    wt: 1:   Chapter 7 Longer Chains of Reason
  767.    wt: 1:   Chapter 5 Deception
  768.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  769.    wt: 1:   Chapter 2 Skill Development
  770.    wt: 1:   Chapter 1 Introduction
  771.    wt: 1:   Three Remarks
  772.    wt: 1:   Foreword
  773.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  774.    wt: 1:   M Words to extend arithmetic
  775.    wt: 1:   F. The student teacher tutor feedback loop
  776.    wt: 1:   D. Check work a must with a caution
  777.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  778.    wt: 1:   Chapter 8 Skipped Topics and Why
  779.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  780.    wt: 1:   Chapter 3 Algebra Starter Lessons
  781.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  782.    wt: 1:   7 Games and Activities for Instruction
  783.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  784.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  785.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  786.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  787.    wt: 1:   Implementation Notes
  788.    wt: 1:   Road Safety Questions
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

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

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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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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