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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77 matches:

  1.    wt: 6:   Volume 1A Regles et modeles/
  2.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  3.    wt: 5:   8 Unit Circle Trigonometry/
  4.    wt: 5:   6 Trigonometry first steps/
  5.    wt: 5:   5 What is Similarity/
  6.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  7.    wt: 5:   D Decimal Long Division Methods/
  8.    wt: 5:   C Decimal Multiplication Methods/
  9.    wt: 5:   B Decimal Comparing and Subtracting Methods/
  10.    wt: 5:   A Decimal Counting and Adding Methods/
  11.    wt: 4:   14 Degrees to Radians and Radians to Degrees/
  12.    wt: 4:   13 Vectors/
  13.    wt: 4:   12 Function Translating and Rescaling/
  14.    wt: 4:   11 Parallel Straight Lines and Transversals/
  15.    wt: 4:   10 Intersecting Straight Lines and Transversals/
  16.    wt: 4:   9 Lines and Slopes Take 2 with tangent function/
  17.    wt: 4:   7 Complex Numbers/
  18.    wt: 4:   4 Lines and Slopes Take 1/
  19.    wt: 4:   3 Cartesian and Polar Coordinates/
  20.    wt: 4:   1 Maps Plans Measurement/
  21.    wt: 3:   Geometry maps plans trigonometry vectors/
  22.    wt: 3:   8 Arithmetic with Signed Numbers/
  23.    wt: 3:   7 Arithmetic and Fractions with Units/
  24.    wt: 3:   5 Integers/
  25.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  26.    wt: 3:   2 Arithmetic with Decimals/
  27.    wt: 3:   Time Date Matters/
  28.    wt: 3:   12 Webvideo Lessons on Area and Volume Calculation/
  29.    wt: 3:   Mathematics 506 Lessons/
  30.    wt: 2:   3 Quadratics Geometrically/
  31.    wt: 2:   A Origins of Counting and Figuring Methods/
  32.    wt: 2:   5 Real Numbers/
  33.    wt: 2:   Step 4 Gaussian Elimination/
  34.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  35.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  36.    wt: 2:   Step 1 Stick diagram and fractions/
  37.    wt: 2:   1 Working With Sets/
  38.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  39.    wt: 2:   11 Squares and Square Roots/
  40.    wt: 2:   9 Combinatorics Trees Tables and Products/
  41.    wt: 2:   6 Fractions and Ratios/
  42.    wt: 2:   3 Prime Factorization Skills/
  43.    wt: 2:   1 Decimal Place Value/
  44.    wt: 2:   5 Lessons on Integration/
  45.    wt: 2:   4 Lessons on Using Derivatives/
  46.    wt: 2:   38 Lessons on Calculating Derivatives/
  47.    wt: 2:   13 Lessons on Limits and Continuity/
  48.    wt: 1:   LAMP Lean Applied Mathematics Program/
  49.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  50.    wt: 1:   Mathematics Education Essays/
  51.    wt: 1:   Archives/
  52.    wt: 1:   francais/
  53.    wt: 1:   Direct Current Electric Circuits/
  54.    wt: 1:   Parent Center/
  55.    wt: 1:   Mathematics Skills Year by Year/
  56.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  57.    wt: 1:   4 Functions/
  58.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  59.    wt: 1:   1 Five Polynomial Operations/
  60.    wt: 1:   B Real Numbers Extrinsic Development/
  61.    wt: 1:   9 Proportionality Backwards and Forwards/
  62.    wt: 1:   8 Unifying Theme For Algebra/
  63.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  64.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  65.    wt: 1:   4 Computation Rules and Function Notation/
  66.    wt: 1:   3 Solving Linear Equations/
  67.    wt: 1:   2 Formula Forward Use Evaluation/
  68.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  69.    wt: 1:   Arithmetic and Number Theory Skills/
  70.    wt: 1:   Skills with take home value/
  71.    wt: 1:   70 Calculus Starter Lessons/
  72.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  73.    wt: 1:   Volume 1A Pattern Based Reason/
  74.    wt: 1:   Work and Study Tips/
  75.    wt: 1:   Quebec Material/
  76.    wt: 1:   Secondary Mathematics A Practical Approach/
  77.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

193 matches:

  1.    wt: 4:   chapitre 05 00 Deception
  2.    wt: 3:   chapitre 12 00 les iles et division
  3.    wt: 3:   chapitre 04 07 RepetablesEtReproductibles
  4.    wt: 3:   chapitre 04 00 Les regles d implication
  5.    wt: 2:   8 analytic geometry etc
  6.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  7.    wt: 2:   chapitre 06 00 Chaines de la raison
  8.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  9.    wt: 2:   chapitre 04 09 Regles accidentelles
  10.    wt: 2:   chapitre 04 08 Limitations et benefices
  11.    wt: 2:   chapitre 04 05 Implication versus suggestion
  12.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  13.    wt: 2:   chapitre 02 00 La Communication des idees
  14.    wt: 2:   chapitre 01 00 Introduction
  15.    wt: 2:   problemes algebre et arithmetique
  16.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  17.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  18.    wt: 2:   Appetizer A Complex Number Applet
  19.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  20.    wt: 2:   3 Counting with Sets etc
  21.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  22.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  23.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  24.    wt: 1:   Appendix 2 primary school Arithmetic 01
  25.    wt: 1:   Skills Chapter 2 Geometry
  26.    wt: 1:   Skills Chapter 1 Arithmetic
  27.    wt: 1:   9 combinatorics probability sets
  28.    wt: 1:   6 polynomials etc
  29.    wt: 1:   5 logarithms and exponentials etc
  30.    wt: 1:   3 Euclidean Geometry Leanly
  31.    wt: 1:   2 arithmetic with signed numbers
  32.    wt: 1:   1 arithmetic with unsigned numbers
  33.    wt: 1:   three goals to set for students
  34.    wt: 1:   Applied Maths Program14092009 POMME variant
  35.    wt: 1:   Postscript 2007 01 10
  36.    wt: 1:   how letters appear
  37.    wt: 1:   geometric implications for algebra
  38.    wt: 1:   05 13 OldSiteEntrancePage
  39.    wt: 1:   How to be a better instructor
  40.    wt: 1:   chapitre 07 01 principle D induction mathematique
  41.    wt: 1:   chapitre 04 06 engagements
  42.    wt: 1:   chapitre 04 04 Parlons de la logique
  43.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  44.    wt: 1:   chapitre 04 02 Deuxieme enigme
  45.    wt: 1:   chapitre 04 01 Premiere enigme
  46.    wt: 1:   E Energy Power05
  47.    wt: 1:   17 Math Booklets for children and young teenagers
  48.    wt: 1:   Ages 12 to 14 Geometry
  49.    wt: 1:   Ages 12 to 14 Arithmetic
  50.    wt: 1:   Ages 10 to 12 Geometry
  51.    wt: 1:   Ages 10 to 12 Arithmetic
  52.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  53.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  54.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  55.    wt: 1:   19 Horizontal line rule and method
  56.    wt: 1:   18 Vertical Line Rule and Method
  57.    wt: 1:   11 Function Domain Range Source and Targets
  58.    wt: 1:   9 Set theory term relation possible origins
  59.    wt: 1:   8 Set view of relations and functions
  60.    wt: 1:   6 Set Existence Formation and Notation
  61.    wt: 1:   5 Function notation for geometric transformations
  62.    wt: 1:   1 Geometric Introduction of Function Notation
  63.    wt: 1:   5 quadratics completing the square
  64.    wt: 1:   2 Column Multiplication Method
  65.    wt: 1:   11 Component Method
  66.    wt: 1:   10 Parallelogram Addition Method
  67.    wt: 1:   Vector and Complex Number Applet
  68.    wt: 1:   30 unit circle calculation of six trigonometric functions
  69.    wt: 1:   Unit Circle Development of Trigonometry
  70.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  71.    wt: 1:   8 Unit Circle Development of Trigonometry
  72.    wt: 1:   7 Trignometric Ratios Unit Circle
  73.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  74.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  75.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  76.    wt: 1:   3 Trigonometric Ratios sine and cosine
  77.    wt: 1:   Why Trigonometry the whyslopes view
  78.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  79.    wt: 1:   6 Geometric Diagrams in Class
  80.    wt: 1:   8 Distance Between Points on a Line
  81.    wt: 1:   7 Complex Numbers Appetizer
  82.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  83.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  84.    wt: 1:   PS B Parallelogram Construction Methods
  85.    wt: 1:   PS A Kite Construction Methods
  86.    wt: 1:   16 Angles Subtended By Chords and Diameters
  87.    wt: 1:   3 Isometry of Triangles Congruence
  88.    wt: 1:   2 Correspondence between Triangles
  89.    wt: 1:   Short Course on Euclidean Geometry
  90.    wt: 1:   A Modular and Remainder Arithmetic
  91.    wt: 1:   A Signed Number Arithmetic Review
  92.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  93.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  94.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  95.    wt: 1:   E Long Division Methods more
  96.    wt: 1:   D Long Division Methods
  97.    wt: 1:   C Three Decimal Subtraction Methods
  98.    wt: 1:   A Decimal Addition Columm Methods
  99.    wt: 1:   8 Column Multiplication Methods in General
  100.    wt: 1:   7 Decimals Multiplication Methods Examples
  101.    wt: 1:   6 Column Methods for Decimal Multiplication
  102.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  103.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  104.    wt: 1:   4 Changing Letters
  105.    wt: 1:   3 Geometric Formulas and Function Notation
  106.    wt: 1:   Using Letters for Physical Quantities
  107.    wt: 1:   9 Sets in Probability and Statistics
  108.    wt: 1:   8 Sets of Numbers
  109.    wt: 1:   7 Cautious or Safe Set Construction
  110.    wt: 1:   6 Power Set Notation
  111.    wt: 1:   4 Subset Builder Notation
  112.    wt: 1:   1 Finite Sets
  113.    wt: 1:   3 Adding Words To Arithmetic
  114.    wt: 1:   arithmetic videos Real Player Format
  115.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  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:   12 GCD 2700 288 via Prime
  119.    wt: 1:   1 Counting and Counting Methods I
  120.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  121.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  122.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  123.    wt: 1:   23 Remainder Arithmetic Modulo 2
  124.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  125.    wt: 1:   21 Remainder Arithmetic Modulo 3
  126.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  127.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  128.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  129.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  130.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  131.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  132.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  133.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  134.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  135.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  136.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  137.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  138.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  139.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  140.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  141.    wt: 1:   5 Remainder Arithmetic Modulo 5
  142.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  143.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  144.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  145.    wt: 1:   1 Remainder Arithmetic Modulo 10
  146.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  147.    wt: 1:   D Decimal Multiplication Methods Derived
  148.    wt: 1:   A Elementary Basis for Multiplication Methods
  149.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  150.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  151.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  152.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  153.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  154.    wt: 1:   Exact Arithmetic Wholes and Fractions
  155.    wt: 1:   5 Conversion Arithmetic
  156.    wt: 1:   Example 1. Area Between x and x squared
  157.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  158.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  159.    wt: 1:   Area Between Curves Lesson Take 2
  160.    wt: 1:   Area Between Curves Lesson Take 1
  161.    wt: 1:   3 Two Chain Rule Method Exercises
  162.    wt: 1:   1 Chain Rule in Reverse Integration Method
  163.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  164.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  165.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  166.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  167.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  168.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  169.    wt: 1:   Chapter 23 Links To Trigonometry
  170.    wt: 1:   Chapter 8. Slope Interpretation
  171.    wt: 1:   Fall 1983 Calculus Appetizer
  172.    wt: 1:   Postscript More on Better Performance
  173.    wt: 1:   Postscript For Better Performance
  174.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  175.    wt: 1:   Chapter 19. Functions and Sets
  176.    wt: 1:   Solutions For Arithmetic Exercises
  177.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  178.    wt: 1:   Chapter 7 Two Treatments of Geometry
  179.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  180.    wt: 1:   Chapter 5 Deception
  181.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  182.    wt: 1:   M Words to extend arithmetic
  183.    wt: 1:   Chapter 6 More Algebra and Geometry
  184.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  185.    wt: 1:   Chapter 2 Why Sets
  186.    wt: 1:   Chapter 1 Arithmetic
  187.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  188.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  189.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  190.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  191.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  192.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  193.    wt: 1:   Road Safety Questions

Extended Search

1123 matches:

  1.    wt: 9:   chapitre 07 01 principle D induction mathematique
  2.    wt: 9:   chapitre 04 06 engagements
  3.    wt: 9:   chapitre 04 04 Parlons de la logique
  4.    wt: 9:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  5.    wt: 9:   chapitre 04 02 Deuxieme enigme
  6.    wt: 9:   chapitre 04 01 Premiere enigme
  7.    wt: 8:   Unit Circle Development of Trigonometry
  8.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  9.    wt: 8:   Appetizer A Complex Number Applet
  10.    wt: 8:   Why Trigonometry the whyslopes view
  11.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  12.    wt: 8:   Short Course on Euclidean Geometry
  13.    wt: 7:   Vector and Complex Number Applet
  14.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  15.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  16.    wt: 7:   7 Trignometric Ratios Unit Circle
  17.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  18.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  19.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  20.    wt: 7:   3 Trigonometric Ratios sine and cosine
  21.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  22.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  23.    wt: 7:   PS B Parallelogram Construction Methods
  24.    wt: 7:   PS A Kite Construction Methods
  25.    wt: 7:   16 Angles Subtended By Chords and Diameters
  26.    wt: 7:   5 Side Angle Side
  27.    wt: 7:   3 Isometry of Triangles Congruence
  28.    wt: 7:   2 Correspondence between Triangles
  29.    wt: 7:   6 Why Decimal Long Division Methods Works Take I
  30.    wt: 7:   5 Long Division Include Zeroes or not
  31.    wt: 7:   D Decimal Multiplication Methods Derived
  32.    wt: 7:   A Elementary Basis for Multiplication Methods
  33.    wt: 7:   5 Decimal Fraction Multiplication
  34.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  35.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  36.    wt: 7:   5 A Tip for Efficent Subtraction
  37.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  38.    wt: 7:   5. How to add decimals C. Examples
  39.    wt: 6:   16 cotangent function Definition Graph and Inverse
  40.    wt: 6:   15 cosecant function Definition Graph and Inverse
  41.    wt: 6:   14 secant function Definition Graph and Inverse
  42.    wt: 6:   13 cosecant function Definition Graph and Inverse
  43.    wt: 6:   12 motivation for term arctan
  44.    wt: 6:   11 arctan left inverse of tangent Graph
  45.    wt: 6:   10 arctan left inverse of tangent Definition
  46.    wt: 6:   9 motivation for name arcsin
  47.    wt: 6:   8 arcsin left inverse of sine Graph
  48.    wt: 6:   7 arcsin left inverse of sine Definition
  49.    wt: 6:   6 Graph of arccos function
  50.    wt: 6:   5 Swapping Coordinates is a reflection
  51.    wt: 6:   4 possible motivation for term arccos
  52.    wt: 6:   3 Left Inverse of cosine arccos definition
  53.    wt: 6:   2 cosine function more properties
  54.    wt: 6:   1 cosine function properties
  55.    wt: 6:   1 Degrees and Radians Introduction
  56.    wt: 6:   11 Component Method
  57.    wt: 6:   10 Parallelogram Addition Method
  58.    wt: 6:   6 Vectors with Coordinates
  59.    wt: 6:   30 unit circle calculation of six trigonometric functions
  60.    wt: 6:   8 period of tangent function
  61.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  62.    wt: 6:   2 Quadrant I reference Angles
  63.    wt: 6:   1 Unit Points Reflections Rotations
  64.    wt: 6:   8 Unit Circle Development of Trigonometry
  65.    wt: 6:   5 An Easy Proof of the Distributive Law
  66.    wt: 6:   8 Triangles Cascade Problem Solving
  67.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  68.    wt: 6:   1 Angle Measurement with Degrees
  69.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  70.    wt: 6:   12 Triangles Similarity More Problems
  71.    wt: 6:   11 Triangle Similarity Missing Side Problem
  72.    wt: 6:   9 Similarity of Triangles Usual Criteria
  73.    wt: 6:   6 Geometric Diagrams in Class
  74.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  75.    wt: 6:   5 Algebraic View of Slopes
  76.    wt: 6:   What is and is not here
  77.    wt: 6:   8 Distance Between Points on a Line
  78.    wt: 6:   7 Complex Numbers Appetizer
  79.    wt: 6:   5 Cartesian Addition and Translation
  80.    wt: 6:   PS H Distributive Law For Complex Numbers
  81.    wt: 6:   PS G Rotation Distributes over Addition
  82.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  83.    wt: 6:   PS E Multiplication with Polar Coordinates
  84.    wt: 6:   PS D Addition with Cartesian Coordinates
  85.    wt: 6:   21 Parallelograms
  86.    wt: 6:   19 Right Triangle Similarity
  87.    wt: 6:   18 Triangle Similarity Take 1
  88.    wt: 6:   17 Right Bisectors of Triangle Sides
  89.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  90.    wt: 6:   14 Parallel Lines Postulate
  91.    wt: 6:   13 Angle Side Angle Failure
  92.    wt: 6:   12 Side Angle Side Failure
  93.    wt: 6:   11 Triangle Construction Fails
  94.    wt: 6:   10 Dropping a perpendicular to line
  95.    wt: 6:   9 Construction of a right bisector
  96.    wt: 6:   8 Isoceles Triangles
  97.    wt: 6:   7 Angle Side Angle
  98.    wt: 6:   6 Ruler and compass Angle Bisection
  99.    wt: 6:   4 Side Side Side
  100.    wt: 6:   1 Initial Concepts and Terms
  101.    wt: 6:   A Measurement with Ruler Proper Use
  102.    wt: 6:   8 More Use of Maps Not Drawn to Scale
  103.    wt: 6:   6 Figuring with Maps Not to Scale
  104.    wt: 6:   5 Drawing to Scale Avoids Angle Distortions
  105.    wt: 6:   4 Angles on Maps Plans drawn to scale
  106.    wt: 6:   3 Lengths and Areas on Maps and Plans
  107.    wt: 6:   2 Measuring Area Directly
  108.    wt: 6:   1 Length Measurement
  109.    wt: 6:   3 Counting with Sets etc
  110.    wt: 6:   12 Why Long Division Works Take III
  111.    wt: 6:   11 Another Single Digit Divisor Example
  112.    wt: 6:   10 Division by Five Long and Short Ways
  113.    wt: 6:   9 Why Long Division Works Take II
  114.    wt: 6:   8 Correcting the Mistake
  115.    wt: 6:   7 Long Divison Mistake Catching
  116.    wt: 6:   4 Division with 2 Digit Divsors
  117.    wt: 6:   3 Division Single Digit Divisor Example
  118.    wt: 6:   2 Division with Single Digit Divisors
  119.    wt: 6:   1 Divsion Physical Examples
  120.    wt: 6:   C Counting Areas with Powers of Ten
  121.    wt: 6:   B Powers of Ten
  122.    wt: 6:   6 Multiplication Commutes Order Not Important
  123.    wt: 6:   4 Two and Three Digit Multipliers
  124.    wt: 6:   3 More One Digit Multipliers
  125.    wt: 6:   2 One Digit Multipliers
  126.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  127.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  128.    wt: 6:   1 Why 3 times 5 gives 15
  129.    wt: 6:   9 22 Minute Subtraction Review Video
  130.    wt: 6:   8 Subtraction with Units of Measure
  131.    wt: 6:   7 Subtraction for Decimal Fractions with Exercises
  132.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  133.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  134.    wt: 6:   2 Subtraction Easy Case Examples
  135.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  136.    wt: 6:   8 What skills and work habits to require
  137.    wt: 6:   7 Adding decimal fractions using decimal point
  138.    wt: 6:   6. Counting and adding units and mixed units
  139.    wt: 6:   4. How to add with decimals B with conversions
  140.    wt: 6:   3. How to add with decimals A sans conversions
  141.    wt: 6:   2 Decimal Counting Practices
  142.    wt: 6:   1. Explaining Addition Table
  143.    wt: 6:   5 Conversion Arithmetic
  144.    wt: 5:   9 Summary Degrees to Radians and back
  145.    wt: 5:   8 Radian Measures of Common Angles
  146.    wt: 5:   7 Radian Measures in special Triangles
  147.    wt: 5:   6 Radian Measure to Degrees
  148.    wt: 5:   5 Degrees to Radian Measure
  149.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  150.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  151.    wt: 5:   2 Radian Measure Numerical Value of one degree
  152.    wt: 5:   A Global Time and Navigation
  153.    wt: 5:   15 Dot and Cross Product
  154.    wt: 5:   14 Why Scalar Multiplication Distributes Physical Argument
  155.    wt: 5:   13 Velocity Vectors in Physics
  156.    wt: 5:   12 From Applied To Pure Mathematics
  157.    wt: 5:   9 Head to Tail Coordinate View
  158.    wt: 5:   8 Parallel Vectors
  159.    wt: 5:   7 Coordinate Addition and Scalar Multiplication
  160.    wt: 5:   5 Head To Tail Arrow Addition
  161.    wt: 5:   4 Resultant of a Sum of Movements
  162.    wt: 5:   3 Navigation with Arrows or Vectors
  163.    wt: 5:   2 Signed Coordinates
  164.    wt: 5:   1 Unsigned Coordinates
  165.    wt: 5:   4 graphing y=Asin(x c)
  166.    wt: 5:   3 graphing y=f(x c) plus K
  167.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  168.    wt: 5:   1 graphing y=f(x a)
  169.    wt: 5:   Parallel Lines and Parallel Transversals
  170.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  171.    wt: 5:   Triangle Angles Sum To 180 Degrees
  172.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  173.    wt: 5:   Parallel Lines and Interior Angles
  174.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  175.    wt: 5:   Straight Lines ASA Intersection Study More
  176.    wt: 5:   Straight Lines ASA Intersection Study
  177.    wt: 5:   Straight Lines Instersection Solving Equations
  178.    wt: 5:   Straight Lines Intersection of
  179.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  180.    wt: 5:   C Straight Lines Slope from Coordinates
  181.    wt: 5:   B Straight Line Slope Scaling Properties More
  182.    wt: 5:   A Straight Line Slope Scaling Properties
  183.    wt: 5:   14 Straight Lines Equations General Case
  184.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  185.    wt: 5:   12 Straight Lines Graphing mx plus b
  186.    wt: 5:   11 Straight Lines Graphing y=mx
  187.    wt: 5:   10 Straight Lines through Origin Equations More
  188.    wt: 5:   9 Straight Lines through Origin Equations
  189.    wt: 5:   8 Straight Lines Equation for vertical
  190.    wt: 5:   7 Tangent Function is odd on this domain
  191.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  192.    wt: 5:   5 Tangent Function Graph
  193.    wt: 5:   4 Tangent Function Properties
  194.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  195.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  196.    wt: 5:   1 Straight Lines Slope Concept
  197.    wt: 5:   17 tangent function angle sum formulas
  198.    wt: 5:   35 sines and cosines of 2A 3A 4A 5A
  199.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  200.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  201.    wt: 5:   32 seven rows of pascals triangle
  202.    wt: 5:   31 basic secant cosecant cotangent trig identities
  203.    wt: 5:   29 secant cosecant and cotangent for acute angles
  204.    wt: 5:   28 Expressing products of sines cosines as sums
  205.    wt: 5:   27 Logarithmic use of products of sines and cosines
  206.    wt: 5:   26 Formulas for products of sines and cosines
  207.    wt: 5:   25 tangent double angle formula Slope connection
  208.    wt: 5:   24 tangent Angle Difference Formula
  209.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  210.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  211.    wt: 5:   21 sine and cosine Half Angle Formulas
  212.    wt: 5:   20 sine and cosine Double Angle Formulas
  213.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  214.    wt: 5:   18 sum of sinusoidal waves as a single wave
  215.    wt: 5:   17G Pythagorean Theorem Converse
  216.    wt: 5:   17F Law of cosines
  217.    wt: 5:   17E Trig Formulas for dot and cross Products
  218.    wt: 5:   17D cis formulas for sine cosines and tangent
  219.    wt: 5:   17C sine and cosine double triple angle formulas
  220.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  221.    wt: 5:   17A The complex number valued trig function cis
  222.    wt: 5:   16 Right Triangle Complementary Angle Relations
  223.    wt: 5:   15 sine cosine Complementary Angle Relations
  224.    wt: 5:   14 cosine even and sine and tangent are odd
  225.    wt: 5:   13 Graph of tangent function many periods
  226.    wt: 5:   12 Graph of tangent function for one period
  227.    wt: 5:   11 tangent function undefined when terminal side vertical
  228.    wt: 5:   10 Graphs of sines and cosines many periods
  229.    wt: 5:   9 Graphs of sine and cosine over one period
  230.    wt: 5:   7 period of sine and cosine
  231.    wt: 5:   6 sines and cosines for reference angle 30 degrees
  232.    wt: 5:   5 sines and cosines for reference angle 60 degrees
  233.    wt: 5:   4 sines and cosines for reference angle 45 degrees
  234.    wt: 5:   21 Logarithms Powers and Exponentials
  235.    wt: 5:   20 N th Roots of Complex Numbers
  236.    wt: 5:   19 N th Roots of Unity
  237.    wt: 5:   18 Sixth Roots of Unity
  238.    wt: 5:   17 Cube Roots of unity
  239.    wt: 5:   16 References and Originality Question
  240.    wt: 5:   15 Pythagorean Theorem Converse
  241.    wt: 5:   14 Law of cosines
  242.    wt: 5:   13 Trig Formulas for dot and cross Products
  243.    wt: 5:   12 cis formulas for sine cosines and tangent
  244.    wt: 5:   11 sine and cosine double triple angle formulas
  245.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  246.    wt: 5:   9 The complex number valued trig function cis
  247.    wt: 5:   7 Second Way to Calculate Products
  248.    wt: 5:   6 Field Properties of Complex Number
  249.    wt: 5:   4 Multiplication Properties
  250.    wt: 5:   3 Addition Properties
  251.    wt: 5:   2 Complex Numbers made easier we hope
  252.    wt: 5:   1 Rectangular Polar Coordinates Review
  253.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  254.    wt: 5:   8 Similarity of Triangles and Polygons
  255.    wt: 5:   7 Translations Rotations Reflections Dilatations
  256.    wt: 5:   4 Similarity Definition with Coordinate
  257.    wt: 5:   3 Similarity by Design with coordinates
  258.    wt: 5:   2 Similarity By Design
  259.    wt: 5:   1 Early Concept of Like or Similar Shapes
  260.    wt: 5:   Four Simple Exercises
  261.    wt: 5:   12 Links Lessons elsewhere
  262.    wt: 5:   11 A Partial Summary
  263.    wt: 5:   10 Midpoint of [a b] and [b a]
  264.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  265.    wt: 5:   8 Mid Point Formula
  266.    wt: 5:   7 Exercises to test skill and concept mastery
  267.    wt: 5:   6 Intersection of lines by solving linear systems
  268.    wt: 5:   4 Equations for lines three forms
  269.    wt: 5:   3 Slope product for perpendicular lines
  270.    wt: 5:   2 point slope equation for a line
  271.    wt: 5:   1 Numerical view of lines and their equations
  272.    wt: 5:   13 Pythagorean spatial distance formulas
  273.    wt: 5:   12 Spatial Coordinates
  274.    wt: 5:   11 Triangle Inequality
  275.    wt: 5:   10 Pythagorean plane distance formula
  276.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  277.    wt: 5:   6 Polar Multiplication and Rotation
  278.    wt: 5:   4 Polar Coordinates to and from
  279.    wt: 5:   3 Rectangular Coordinates Review
  280.    wt: 5:   2 Cartesian Coordinates with signs
  281.    wt: 5:   1 Cartesian Coordinates sans signs
  282.    wt: 5:   About Folder Contents
  283.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  284.    wt: 5:   9 Sets in Probability and Statistics
  285.    wt: 5:   8 Sets of Numbers
  286.    wt: 5:   7 Cautious or Safe Set Construction
  287.    wt: 5:   6 Power Set Notation
  288.    wt: 5:   4 Subset Builder Notation
  289.    wt: 5:   1 Finite Sets
  290.    wt: 5:   5 lengths and signs of numbers
  291.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  292.    wt: 5:   5 Zero Movement and Additive Inverses
  293.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  294.    wt: 5:   23 Remainder Arithmetic Modulo 2
  295.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  296.    wt: 5:   21 Remainder Arithmetic Modulo 3
  297.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  298.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  299.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  300.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  301.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  302.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  303.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  304.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  305.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  306.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  307.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  308.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  309.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  310.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  311.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  312.    wt: 5:   5 Remainder Arithmetic Modulo 5
  313.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  314.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  315.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  316.    wt: 5:   1 Remainder Arithmetic Modulo 10
  317.    wt: 5:   Long Division Backwards more
  318.    wt: 5:   Long Division Backward
  319.    wt: 5:   Division with Counts and Length
  320.    wt: 5:   Long Division forwards and backwards Example 3
  321.    wt: 5:   Long Division forwards and backwards Example 2
  322.    wt: 5:   Long Division forwards and backwards Example 1
  323.    wt: 5:   Video Power Notation in Decimal Expansion
  324.    wt: 5:   Subtraction with J Conversions Example
  325.    wt: 5:   Subtraction Another Video Lesson
  326.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  327.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  328.    wt: 5:   9 Comparison and Subtraction of Time Intervals
  329.    wt: 5:   8 Addition of Time Intervals via subtotaling
  330.    wt: 5:   7 Addition of Time Intervals
  331.    wt: 5:   6 How long is a million seconds
  332.    wt: 5:   4 Mixing and Changing Units of Time
  333.    wt: 5:   3 Units and Lengths of Time
  334.    wt: 5:   2 Time and Date Matters in School
  335.    wt: 5:   1 Intro of Kids To Time Date Skills
  336.    wt: 5:   Example 1. Area Between x and x squared
  337.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  338.    wt: 5:   Area Between Curves Lesson Take 2
  339.    wt: 5:   Summary
  340.    wt: 5:   3 Two Chain Rule Method Exercises
  341.    wt: 4:   8 analytic geometry etc
  342.    wt: 4:   5 logarithms and exponentials etc
  343.    wt: 4:   problemes algebre et arithmetique
  344.    wt: 4:   5 Function notation for geometric transformations
  345.    wt: 4:   5 quadratics completing the square
  346.    wt: 4:   Quadratics in 10 steps
  347.    wt: 4:   E Long Division Methods more
  348.    wt: 4:   D Long Division Methods
  349.    wt: 4:   C Three Decimal Subtraction Methods
  350.    wt: 4:   A Decimal Addition Columm Methods
  351.    wt: 4:   8 Column Multiplication Methods in General
  352.    wt: 4:   7 Decimals Multiplication Methods Examples
  353.    wt: 4:   6 Column Methods for Decimal Multiplication
  354.    wt: 4:   5 Distributive Law for Whole Numbers
  355.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  356.    wt: 4:   5 Rational Numbers More
  357.    wt: 4:   4 Rational Numbers
  358.    wt: 4:   3 Fractions
  359.    wt: 4:   2 Integers
  360.    wt: 4:   1 Whole and Natural Numbers
  361.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  362.    wt: 4:   5 Algebraic Solutions Introduction
  363.    wt: 4:   5 Three Examples
  364.    wt: 4:   5 Product Builder Notation
  365.    wt: 4:   2 Venn Diagrams
  366.    wt: 4:   1 Counting and Counting Methods I
  367.    wt: 4:   10 dividing signed numbers
  368.    wt: 4:   9 subtracting signed numbers
  369.    wt: 4:   8 multiplying signed numbers
  370.    wt: 4:   7 negative and additive inverse
  371.    wt: 4:   6 adding signed numbers
  372.    wt: 4:   4 signed coordinates for regions in space
  373.    wt: 4:   3 signed coordinates for maps and planes
  374.    wt: 4:   2 signed and unsigned numbers as coordinates
  375.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  376.    wt: 4:   D Remainders Modulo 11 Pair Rule
  377.    wt: 4:   B Integer Long Division Multiple Choices
  378.    wt: 4:   A Associative Law Theorectical Note
  379.    wt: 4:   13 Subtraction with Additive Inverse
  380.    wt: 4:   12 Adding Integers More Examples
  381.    wt: 4:   11 Adding Integers Formulas and Examples
  382.    wt: 4:   10 Integer Multiplication Formulas
  383.    wt: 4:   9 Multiplying Integers
  384.    wt: 4:   8 Multiplication by Signed Numbers Integers
  385.    wt: 4:   7 Multiplication by Signs
  386.    wt: 4:   6 Multiplication by Natural Numbers
  387.    wt: 4:   4 Adding Movements wiht opposite directions
  388.    wt: 4:   3 Adding Movements with same direction
  389.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  390.    wt: 4:   1 Integers as Coordinates
  391.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  392.    wt: 4:   5 Prime Factorization and a Square Rule
  393.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  394.    wt: 4:   016 Numbering Occidental Calendar Days
  395.    wt: 4:   015 School and work day counting tables
  396.    wt: 4:   014 Counting Days with Calendars
  397.    wt: 4:   013 Travel Time Tables
  398.    wt: 4:   012 Division of Time Intervals by Time Intervals
  399.    wt: 4:   011 Division of Time Intervals By Numbers
  400.    wt: 4:   010 Repeated Addition of Time Intervals
  401.    wt: 4:   Example 1 volume of a pyramid
  402.    wt: 4:   Volume of Solid by Cross Sections Lesson
  403.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  404.    wt: 4:   Example 1
  405.    wt: 4:   Area Between Curves Lesson Take 1
  406.    wt: 4:   1 Chain Rule in Reverse Integration Method
  407.    wt: 4:   4 Second derivative test exercise example
  408.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  409.    wt: 4:   15 sine and cosine derivatives 3rd step
  410.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  411.    wt: 4:   5 Jumps and absence of unlimited error control
  412.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  413.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  414.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  415.    wt: 3:   Appendix 2 primary school Arithmetic 01
  416.    wt: 3:   9 combinatorics probability sets
  417.    wt: 3:   6 polynomials etc
  418.    wt: 3:   3 Euclidean Geometry Leanly
  419.    wt: 3:   2 arithmetic with signed numbers
  420.    wt: 3:   1 arithmetic with unsigned numbers
  421.    wt: 3:   What is POMME
  422.    wt: 3:   three goals to set for students
  423.    wt: 3:   Postscript 2007 01 10
  424.    wt: 3:   How to be a better instructor
  425.    wt: 3:   words for mathematics instructor
  426.    wt: 3:   17 Math Booklets for children and young teenagers
  427.    wt: 3:   5 Patience Please for Yourself and Your Charges
  428.    wt: 3:   Ages 12 to 14 Geometry
  429.    wt: 3:   Ages 12 to 14 Arithmetic
  430.    wt: 3:   Ages 10 to 12 Geometry
  431.    wt: 3:   Ages 10 to 12 Arithmetic
  432.    wt: 3:   Ages 6 to 7
  433.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  434.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  435.    wt: 3:   9 Set theory term relation possible origins
  436.    wt: 3:   8 Set view of relations and functions
  437.    wt: 3:   6 Set Existence Formation and Notation
  438.    wt: 3:   1 Geometric Introduction of Function Notation
  439.    wt: 3:   Introduction Reading Guide
  440.    wt: 3:   A Quadratics Summary
  441.    wt: 3:   5 Natural Logarithm Calculator Exercises
  442.    wt: 3:   A Modular and Remainder Arithmetic
  443.    wt: 3:   A Signed Number Arithmetic Review
  444.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  445.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  446.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  447.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  448.    wt: 3:   B Decimal Comparison and Subtraction
  449.    wt: 3:   4 Commutative Law Groups Counting Form
  450.    wt: 3:   3 Multiplicative Counting Skills Principles
  451.    wt: 3:   2 Combing Counts Addition Skills and Principles
  452.    wt: 3:   1 The Counting Origins of Numbers
  453.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  454.    wt: 3:   5 Proportionality in Equivalent Fractions
  455.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  456.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  457.    wt: 3:   6 Compound Interest Forward and Backwards
  458.    wt: 3:   5 Triangle Area Formula Backwards
  459.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  460.    wt: 3:   3 Linear Equation Literal Solution More
  461.    wt: 3:   2 Linear Equation Literal Solution
  462.    wt: 3:   1 Changing Calculations
  463.    wt: 3:   6 Equations and Systems Equivalent or Implied
  464.    wt: 3:   5 Equality in Algebra
  465.    wt: 3:   4 Subtraction and Division Axioms
  466.    wt: 3:   3 Product Axioms Two Forms
  467.    wt: 3:   2 Addition and Multiplication Axioms
  468.    wt: 3:   1 Equivalent Computation Rules
  469.    wt: 3:   5 Greater More Less Than Signs in General
  470.    wt: 3:   4 Comparison of Negative Numbers
  471.    wt: 3:   3 More and Less Than with Unlike Signs
  472.    wt: 3:   2 More and Less Than for Counts and Measures
  473.    wt: 3:   1 Real Numbers Comparison
  474.    wt: 3:   16 Real Numbers Comparison
  475.    wt: 3:   15 Real Number Division
  476.    wt: 3:   14 Real Number Multiplication
  477.    wt: 3:   13 Real Number Subtraction
  478.    wt: 3:   12 Real Number Additive Inverses or Negatives
  479.    wt: 3:   11 Real Number Addition
  480.    wt: 3:   10 Real Number Lengths and Signs
  481.    wt: 3:   9 Coordinates for Regions in Space
  482.    wt: 3:   8 Coordinates for Maps and Planes
  483.    wt: 3:   7 Real Numbers as Line Cordinates
  484.    wt: 3:   6 Unsigned Real Numbers
  485.    wt: 3:   4 Changing Letters
  486.    wt: 3:   3 Geometric Formulas and Function Notation
  487.    wt: 3:   More Exercises
  488.    wt: 3:   4 GE III Animated Examples
  489.    wt: 3:   3 Gaussian Elimination 3 unknowns first example
  490.    wt: 3:   3 GE III Equation Addition and Multiplication
  491.    wt: 3:   2 GE II Comparison
  492.    wt: 3:   1 GE Substitution four examples
  493.    wt: 3:   4 Solving a triangular system exercise
  494.    wt: 3:   3 Solving triangular system example
  495.    wt: 3:   2 Essentially one exercises three with solution
  496.    wt: 3:   1 Essentially One Unknown
  497.    wt: 3:   6 Algebraic Solution Example
  498.    wt: 3:   4 Four Examples Fractional Coefficients
  499.    wt: 3:   3 Four Examples
  500.    wt: 3:   2 Three Examples
  501.    wt: 3:   1 Proper Equal Sign Usage
  502.    wt: 3:   Skill Development Notes
  503.    wt: 3:   10 One Example
  504.    wt: 3:   9 Three Examples
  505.    wt: 3:   8 One Example
  506.    wt: 3:   7 Two Examples
  507.    wt: 3:   6 Three Examples
  508.    wt: 3:   4 Two Examples
  509.    wt: 3:   3 Two Examples
  510.    wt: 3:   2 Three Examples
  511.    wt: 3:   Using Letters for Physical Quantities
  512.    wt: 3:   Formula Usage Show Work Format
  513.    wt: 3:   9 Volume of Cone
  514.    wt: 3:   8 Compound Interest Formula Evaluation
  515.    wt: 3:   7 Compound Interest Formula Introduction
  516.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  517.    wt: 3:   5 Box Volume Formula Example
  518.    wt: 3:   4 Circle Area Formula Example
  519.    wt: 3:   3 Triangle Area Formula Example
  520.    wt: 3:   2 Another Rectangle Area Formula Example
  521.    wt: 3:   1 Written work formats for developing and showing skill
  522.    wt: 3:   4 Greater More Less Than Signs in General
  523.    wt: 3:   3 Comparison of Negative Numbers
  524.    wt: 3:   2 More and Less Than with Unlike Signs
  525.    wt: 3:   1 More and Less Than for Counts and Measures
  526.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  527.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  528.    wt: 3:   4 Counting with Trees Product Rule Take I
  529.    wt: 3:   3 Counting with Tables and Trees II
  530.    wt: 3:   2 Counting with Tables and Trees I
  531.    wt: 3:   11 What are real lengths and numbers
  532.    wt: 3:   7 Converting or Changing Units
  533.    wt: 3:   6 Simplification of Fractions with Units
  534.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  535.    wt: 3:   4 Fractions with Units
  536.    wt: 3:   3 Multiplying Units and Numbers
  537.    wt: 3:   2 Equality and Units
  538.    wt: 3:   1 Addition and Subtraction with Units
  539.    wt: 3:   D Three Term Ratios
  540.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  541.    wt: 3:   B Fractions and Two Term Ratios
  542.    wt: 3:   5 Equivalent Fractions
  543.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  544.    wt: 3:   26 Divisibility by 2 3 5 Example
  545.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  546.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  547.    wt: 3:   20 Uniqueness of Prime Factorization
  548.    wt: 3:   19 video Prime Factorization Unique
  549.    wt: 3:   18 video Count Factors given Prime Factorization
  550.    wt: 3:   17 Identify and Count Factors using Primes
  551.    wt: 3:   16 video Factors of 980 using prime
  552.    wt: 3:   15 video Factors of 20 using Prime Factorization
  553.    wt: 3:   14 video Factors of 24 Take II
  554.    wt: 3:   13 video Factors of 24 using prime
  555.    wt: 3:   12 LCD GCD and LCM using Primes
  556.    wt: 3:   11 Efficient Square Rule Use
  557.    wt: 3:   10 video Prime Factorization upto 23 squared
  558.    wt: 3:   9 video Prime Factorization upto 19 squared
  559.    wt: 3:   8 video Prime Factorization upto 19
  560.    wt: 3:   7 Calculator Usage Notes and Cautions
  561.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  562.    wt: 3:   4 video Prime Factorization Introduction
  563.    wt: 3:   3 video Primes and Composites from 9 times table
  564.    wt: 3:   2 Prime and Composites less than 16
  565.    wt: 3:   1 video how Products are bigger than factor
  566.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  567.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  568.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  569.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  570.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  571.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  572.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  573.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  574.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  575.    wt: 3:   Exact Arithmetic Wholes and Fractions
  576.    wt: 3:   About folder contents
  577.    wt: 3:   Example 2 volume of a cone
  578.    wt: 3:   Example 4 with x function of y
  579.    wt: 3:   Example 3
  580.    wt: 3:   Example 2
  581.    wt: 3:   A Related Material in Volume 3
  582.    wt: 3:   5 Area Under Curve Exercise
  583.    wt: 3:   4 Definite Integrals Evaluation Exercises
  584.    wt: 3:   2 Indefinite Integrals Exercises
  585.    wt: 3:   3 Second derivative test
  586.    wt: 3:   2 Second derivative test prequel
  587.    wt: 3:   36 Cube root derivative animated
  588.    wt: 3:   28 Chain Rule Preparation for a Proof
  589.    wt: 3:   18 Chain Rule Introduction
  590.    wt: 3:   17 Derivatives of quotients of sine and cosine
  591.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  592.    wt: 3:   12 Quotient rule examples
  593.    wt: 3:   5 Product Rule
  594.    wt: 3:   3 Motivation for Limit Definition Take 2
  595.    wt: 3:   2 Motivation for Limit Definition Take 1
  596.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  597.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  598.    wt: 3:   9 Limits Continuity and Composition
  599.    wt: 3:   8 Four Animated Examples
  600.    wt: 3:   7 Evaluation by immediate or delayed substitution
  601.    wt: 3:   6 Continuity at a point
  602.    wt: 3:   4 Numerical properties
  603.    wt: 3:   3 Decimal insights for limits continuity convergence
  604.    wt: 3:   2 Algebraic codification
  605.    wt: 3:   1 Numerical introduction
  606.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  607.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  608.    wt: 3:   Fall 1983 Calculus Appetizer
  609.    wt: 3:   Chapter 5 Deception
  610.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  611.    wt: 3:   M Words to extend arithmetic
  612.    wt: 3:   E. When and how to correct errors
  613.    wt: 3:   How to Build Skills and Confidence
  614.    wt: 3:   Chapter 6 More Algebra and Geometry
  615.    wt: 3:   Chapter 2 Why Sets
  616.    wt: 3:   Chapter 1 Arithmetic
  617.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  618.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  619.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  620.    wt: 2:   Appendix 1 primary and preschool mathematic
  621.    wt: 2:   K LAMP Musings Science Education
  622.    wt: 2:   J LAMP Introduction Extrinsic Origins
  623.    wt: 2:   I LAMP Introduction Study Habits
  624.    wt: 2:   H LAMP Introduction Instructional Concepts
  625.    wt: 2:   G LAMP Introduction Problem Solving Skills
  626.    wt: 2:   F LAMP Introduction Prerequisites
  627.    wt: 2:   E LAMP Introduction Modern Mathematics
  628.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  629.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  630.    wt: 2:   A Introduction Objectives
  631.    wt: 2:   Skills Chapter 2 Geometry
  632.    wt: 2:   Skills Chapter 1 Arithmetic
  633.    wt: 2:   Skills Chapter 0 Introduction
  634.    wt: 2:   11 pure mathematics
  635.    wt: 2:   10 statistics
  636.    wt: 2:   7 logic review and decimals an odd combination
  637.    wt: 2:   4 algebra
  638.    wt: 2:   website reviews
  639.    wt: 2:   Applied Maths Program14092009 POMME variant
  640.    wt: 2:   links Education Resources online
  641.    wt: 2:   site origins
  642.    wt: 2:   teacher certification
  643.    wt: 2:   what should be learnt and When
  644.    wt: 2:   how letters appear
  645.    wt: 2:   Secondary Two Mathematics
  646.    wt: 2:   What to Tell Students
  647.    wt: 2:   mathematics curriculum shifts
  648.    wt: 2:   geometric implications for algebra
  649.    wt: 2:   05 13 OldSiteEntrancePage
  650.    wt: 2:   formal or informal peer review
  651.    wt: 2:   Theory of Knowledge
  652.    wt: 2:   mathematics instruction in general
  653.    wt: 2:   Four ways to improve education reform
  654.    wt: 2:   Motivation and Context Problem
  655.    wt: 2:   need for a mixed mathematics curriculum
  656.    wt: 2:   Leaner mathematics curriculum
  657.    wt: 2:   Prequel In For A Penny In For A Pound
  658.    wt: 2:   education an empirical art
  659.    wt: 2:   fairness and inductive principles for instruction
  660.    wt: 2:   liens
  661.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  662.    wt: 2:   Trois Notions qui menent a algebre
  663.    wt: 2:   deux definitions pour variable
  664.    wt: 2:   logique deux enigme
  665.    wt: 2:   E Energy Power05
  666.    wt: 2:   2 Conductance Resistance Duality02
  667.    wt: 2:   2 Unlike resistors in parallel01
  668.    wt: 2:   1 Like resistors in series
  669.    wt: 2:   H Series Circuit02
  670.    wt: 2:   G Series Circuit01
  671.    wt: 2:   F Unlike Resistors in Series
  672.    wt: 2:   E Kirchoffs Second Law
  673.    wt: 2:   D Kirchoff First Law
  674.    wt: 2:   C Electromotive force conventional current02
  675.    wt: 2:   B Electromotive force conventional current01
  676.    wt: 2:   A Circuit Elements
  677.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  678.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  679.    wt: 2:   24 Standards For Skill Develoment Take II
  680.    wt: 2:   24 Standards For Skill Develoment
  681.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  682.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  683.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  684.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  685.    wt: 2:   22 Student Centered Highschool Mathematics
  686.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  687.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  688.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  689.    wt: 2:   18 Primary School Mathematics
  690.    wt: 2:   16 Secondary Mathematics Tips
  691.    wt: 2:   15 Counting For Parents
  692.    wt: 2:   14 Multiplication and Times Tables
  693.    wt: 2:   13 Addition and Addition Tables
  694.    wt: 2:   12 Goals and Objectives For Mathematics
  695.    wt: 2:   11 Help and Defend Your Child or Teens Education
  696.    wt: 2:   10 Ends values for work study instruction
  697.    wt: 2:   9 Streaming by Student Cooperation
  698.    wt: 2:   8 The Effect of Negative Remarks
  699.    wt: 2:   7 Student Motivation
  700.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  701.    wt: 2:   4 Learning Takes Time and Effort
  702.    wt: 2:   3 Preparing for Science Studies
  703.    wt: 2:   2 Reading and Writing Skills
  704.    wt: 2:   1 Speaking Skills
  705.    wt: 2:   Ages 12 to 14 Skills with take home value
  706.    wt: 2:   Ages 9 to 10
  707.    wt: 2:   Ages 8 to 9
  708.    wt: 2:   Ages 7 to 8
  709.    wt: 2:   Ages 4 plus to 5 plus
  710.    wt: 2:   Ages 3 plus to 4 plus
  711.    wt: 2:   sign monoticity analysis example 4
  712.    wt: 2:   sign monoticity analysis example 3
  713.    wt: 2:   sign monoticity analysis example 2
  714.    wt: 2:   sign monoticity analysis example 1
  715.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  716.    wt: 2:   20 Interchanging coordinates a reflection
  717.    wt: 2:   19 Horizontal line rule and method
  718.    wt: 2:   18 Vertical Line Rule and Method
  719.    wt: 2:   11 Function Domain Range Source and Targets
  720.    wt: 2:   10 Interval Notation
  721.    wt: 2:   7 Functions with finite domains
  722.    wt: 2:   4 Function notation in and beyond mathematics
  723.    wt: 2:   3 Formula or function graphing exercise
  724.    wt: 2:   2 Algebraic use of function notation
  725.    wt: 2:   10 quadratic exercises
  726.    wt: 2:   9 quadratics physical and further context
  727.    wt: 2:   8 quadratics backward use of various formulas
  728.    wt: 2:   7 quadratic formulla derivation
  729.    wt: 2:   6 quadratics numerical approach
  730.    wt: 2:   4 quadratics difference of two squares
  731.    wt: 2:   3 quadratics factoring by inspection
  732.    wt: 2:   2 quadratics graphing in general
  733.    wt: 2:   1 quadratics graphing exercises
  734.    wt: 2:   10 Exponential Growth and Decay Models
  735.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  736.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  737.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  738.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  739.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  740.    wt: 2:   2 Square Root Simplification a prequel
  741.    wt: 2:   1 Calculator Starter Exercises
  742.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  743.    wt: 2:   2 Column Multiplication Method
  744.    wt: 2:   Rewriting algebraic substitution as function substitutions
  745.    wt: 2:   26 More Less Greater Than Comparison
  746.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  747.    wt: 2:   23 Distributive Law Two Derivations
  748.    wt: 2:   22 Multiplication of Signed Numbers
  749.    wt: 2:   21 Addition of Multiples of a Single Vector
  750.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  751.    wt: 2:   19 Signed Multiples of Vectors
  752.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  753.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  754.    wt: 2:   15 Head to Tails in place Addition Associative
  755.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  756.    wt: 2:   13 Arrows and Vectors in a Plane
  757.    wt: 2:   12 Real Numbers Line Signed Coordinates
  758.    wt: 2:   11 Signed Number Addition and Addition Properties
  759.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  760.    wt: 2:   9 Division with Digits after Decimal Point
  761.    wt: 2:   8 Division and Mulplication of Compound Fractions
  762.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  763.    wt: 2:   4 Location of Point in Decimal Addition
  764.    wt: 2:   3 Location of Point in Decimal Multiplication
  765.    wt: 2:   2 Counting Digits in Decimal Multiplication
  766.    wt: 2:   1 Fractions with Finite Decimal Expansions
  767.    wt: 2:   5 Areas of Rectangles Revisited
  768.    wt: 2:   4 Fraction Operations Axiomatic Development
  769.    wt: 2:   3 Inequalities Algebraically
  770.    wt: 2:   2 Fraction Operations Physical Development
  771.    wt: 2:   4 Rates Ratios and Proporitionality
  772.    wt: 2:   3 Proportionality Examples
  773.    wt: 2:   2 Algebraic View
  774.    wt: 2:   1 What is Proportionality
  775.    wt: 2:   5 Independent versus Dependent Variables
  776.    wt: 2:   2 Computation Rules Evaluation
  777.    wt: 2:   1 Formulas Dependence and Function Notation
  778.    wt: 2:   13 Naming Identifying Formulas with Words
  779.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  780.    wt: 2:   11 Volume of Sphere
  781.    wt: 2:   10 Volume of Pyramid
  782.    wt: 2:   3 Adding Words To Arithmetic
  783.    wt: 2:   About Folder Contents
  784.    wt: 2:   arithmetic videos Real Player Format
  785.    wt: 2:   5 Square Roots with primes more still
  786.    wt: 2:   4 Square Roots with primes more
  787.    wt: 2:   3 Properties of Square Roots with example
  788.    wt: 2:   2 Square Roots with Prime
  789.    wt: 2:   1 Squares and Square Roots Introduction
  790.    wt: 2:   6 GCD from Prime
  791.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  792.    wt: 2:   2 Least Common Multiple LCM intro via list method
  793.    wt: 2:   12 GCD 2700 288 via Prime
  794.    wt: 2:   22 Complex Compound Fractions
  795.    wt: 2:   21 Working With Signs
  796.    wt: 2:   21 Reciprocals for Fractions and Wholes
  797.    wt: 2:   20 Dividing Fractions the Why
  798.    wt: 2:   19 Dividing Fractions How TO
  799.    wt: 2:   18 Efficient Ways to Multiply
  800.    wt: 2:   17 Efficient Ways to Add and Subtract
  801.    wt: 2:   16 Addition Subtraction Comparision Compared
  802.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  803.    wt: 2:   14 Adding and Subtracting with Like Denominators
  804.    wt: 2:   13 Fraction Comparison Algebraic View
  805.    wt: 2:   12 Fraction Comparison
  806.    wt: 2:   11 Simplification an Algebraic View
  807.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  808.    wt: 2:   9 Improper Fractions and Mixed Numbers
  809.    wt: 2:   8 Numerals Fractionals Quantals Take II
  810.    wt: 2:   7 Numerals Fractionals Quantals
  811.    wt: 2:   6 Multiplication of Mixed Numbers
  812.    wt: 2:   6 Multiplication Algebraically Take II
  813.    wt: 2:   4 Fraction Multiplication
  814.    wt: 2:   3 Unit fraction of a fraction
  815.    wt: 2:   2 Unit Fraction Multiplication
  816.    wt: 2:   1 What is a fraction Take II
  817.    wt: 2:   1 What is a fraction
  818.    wt: 2:   11 Place Value SI Standard International way
  819.    wt: 2:   Quick history of numbers and algebra
  820.    wt: 2:   Formula Evaluation how to show work
  821.    wt: 2:   Expression Evaluation how to show work
  822.    wt: 2:   The 20 Times Table
  823.    wt: 2:   The 12 Times Table Visually
  824.    wt: 2:   A Related lessons in Volume 3
  825.    wt: 2:   A Chain Rule Real Player video examples
  826.    wt: 2:   38 Formulas and derivatives for powers and roots
  827.    wt: 2:   34 Derivative of exponential function
  828.    wt: 2:   33 Chain Rule Real Player video examples
  829.    wt: 2:   31 Derivatives of inverse functions
  830.    wt: 2:   30Chain Rule A Proof
  831.    wt: 2:   29 Chain Rule Optional Reading
  832.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  833.    wt: 2:   26 Chain Rule Recognising outer inner functions
  834.    wt: 2:   25 Chain Rule Animated Examples Continued
  835.    wt: 2:   24 Chain Rule Animated Examples
  836.    wt: 2:   23 Chain Rule in general
  837.    wt: 2:   22 Chain Rule for polynomials
  838.    wt: 2:   21 Chain Rule for powers
  839.    wt: 2:   20 Chain Rule for Pulley Systems
  840.    wt: 2:   19 Chain Rule for linear functions
  841.    wt: 2:   14 sine and cosine derivatives 2nd step
  842.    wt: 2:   13 sine and cosine derivatives 1st step
  843.    wt: 2:   11 Quotient rule
  844.    wt: 2:   10 Power rule for negative integers
  845.    wt: 2:   9 Reciprocal rule
  846.    wt: 2:   8 Differentiation of polynomials
  847.    wt: 2:   7 Animated Differentiation Examples
  848.    wt: 2:   6 Power rule from product rule
  849.    wt: 2:   4 Sum Rule
  850.    wt: 2:   11 Limits at infinity Three Examples
  851.    wt: 2:   10 Three one sided limits with infinite values
  852.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  853.    wt: 2:   Chapter 23 Links To Trigonometry
  854.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  855.    wt: 2:   Chapter 10 Slopes and Units
  856.    wt: 2:   Chapter 8. Slope Interpretation
  857.    wt: 2:   Chapter 5. Slope Sign Tests
  858.    wt: 2:   Chapter 1.Introduction
  859.    wt: 2:   Foreword
  860.    wt: 2:   Postscript More on Better Performance
  861.    wt: 2:   Postscript For Better Performance
  862.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  863.    wt: 2:   Chapter 19. Functions and Sets
  864.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  865.    wt: 2:   Foreword
  866.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  867.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  868.    wt: 2:   Chapter 10 Responsibility
  869.    wt: 2:   Three Remarks
  870.    wt: 2:   Foreword
  871.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  872.    wt: 2:   S Adding words to algebra
  873.    wt: 2:   R Why Learn Mathematics Skills
  874.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  875.    wt: 2:   O On Learning Mathematics and Science
  876.    wt: 2:   N Mathematics Prepare for College Studies
  877.    wt: 2:   L Skills with take home value
  878.    wt: 2:   N Improving Marks on Tests and Finals
  879.    wt: 2:   J. More on written work and showing skill
  880.    wt: 2:   I. Logic and language skills
  881.    wt: 2:   H Jigsaw puzzles and problem solving
  882.    wt: 2:   G. Written work formats for developing and showing skill
  883.    wt: 2:   F. The student teacher tutor feedback loop
  884.    wt: 2:   D. Check work a must with a caution
  885.    wt: 2:   C. Domino effect of being careful
  886.    wt: 2:   B. Domino effect of errors
  887.    wt: 2:   A. Skill has to be seen to believed
  888.    wt: 2:   Chapter 8 Skipped Topics and Why
  889.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  890.    wt: 2:   Chapter 3 Algebra Starter Lessons
  891.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  892.    wt: 2:   7 Games and Activities for Instruction
  893.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  894.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  895.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  896.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  897.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  898.    wt: 2:   Road Safety Questions
  899.    wt: 1:   Skills Chapter 5 Calculus
  900.    wt: 1:   Skills Chapter 4 Logic
  901.    wt: 1:   Ramblings Extrinsic numbers theory
  902.    wt: 1:   Ramblings Introduction Algebra Essay
  903.    wt: 1:   Skills Chapter 3 Algebra
  904.    wt: 1:   why bother
  905.    wt: 1:   which way to go
  906.    wt: 1:   Teach the teachers plus goals
  907.    wt: 1:   permissions for teachers
  908.    wt: 1:   Math Ed if it must be short make it lean effective
  909.    wt: 1:   activities for students
  910.    wt: 1:   site eurekas
  911.    wt: 1:   About site lesson plans
  912.    wt: 1:   key notes and themes
  913.    wt: 1:   Mathematics Education Professors
  914.    wt: 1:   modern education
  915.    wt: 1:   learning takes time
  916.    wt: 1:   grouping students according to ability
  917.    wt: 1:   mathematics in context
  918.    wt: 1:   Education Reform Inconsistencies
  919.    wt: 1:   five decades make a difference
  920.    wt: 1:   Maps Plans Drawings
  921.    wt: 1:   Secondary Three Mathematics
  922.    wt: 1:   Secondary One Mathematics
  923.    wt: 1:   talk the algebra talk
  924.    wt: 1:   three difficulties
  925.    wt: 1:   teaching tips
  926.    wt: 1:   teaching tutoring algebraic reason
  927.    wt: 1:   Lessening Algebra Difficulties
  928.    wt: 1:   the trouble with algebra
  929.    wt: 1:   three goals for Mathematics Education
  930.    wt: 1:   04 29 New Mathematics Curriculum
  931.    wt: 1:   04 25 when to stop or suspend mathemat
  932.    wt: 1:   02 21 words for teachers
  933.    wt: 1:   02 20 mathematics education references
  934.    wt: 1:   three aims for mathematics students
  935.    wt: 1:   standards for course material
  936.    wt: 1:   Operational Viewpoint to Value
  937.    wt: 1:   Education in mathematics science and technology
  938.    wt: 1:   Different Kinds of Reasoning in maths
  939.    wt: 1:   three kinds of reason in mathematics
  940.    wt: 1:   cultivating intelligence
  941.    wt: 1:   problemes responses
  942.    wt: 1:   4 Energy Power Heat09
  943.    wt: 1:   3 Energy Power Heat08
  944.    wt: 1:   2 Energy Power Heat07
  945.    wt: 1:   1 Energy Power Heat06
  946.    wt: 1:   D Energy Power04
  947.    wt: 1:   C Energy Power03
  948.    wt: 1:   B Energy Power02
  949.    wt: 1:   A Energy Power01
  950.    wt: 1:   1 Conductance Resistance Duality01
  951.    wt: 1:   F Wire Resistance Calculation04
  952.    wt: 1:   E Wire Resistance Calculation03
  953.    wt: 1:   D Wire Resistance Calculation02
  954.    wt: 1:   C Wire Resistance Calculation01
  955.    wt: 1:   B Wire Resistance Qualitative02
  956.    wt: 1:   A Wire Resistance Qualitative01
  957.    wt: 1:   3 Like resistors in parallel
  958.    wt: 1:   Home Tutoring and Home Schooling
  959.    wt: 1:   26 Function definitions done and coming
  960.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  961.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  962.    wt: 1:   23 Inverse Functions
  963.    wt: 1:   22 Square Root function graphically
  964.    wt: 1:   17 Function maxima minima and their location
  965.    wt: 1:   16 Increasing or decreasing on intervals
  966.    wt: 1:   15 Sign analysis of functions
  967.    wt: 1:   14 Surjections Injections Bijections
  968.    wt: 1:   13 From one to one to many to one
  969.    wt: 1:   12 Function Domain Recognition Exercises
  970.    wt: 1:   11 Growth and Decay in Biology
  971.    wt: 1:   8 Notes for instructors or tutors
  972.    wt: 1:   7 Links Lessons Elsewhere
  973.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  974.    wt: 1:   4 Polynomials Long division linear divisor
  975.    wt: 1:   3 Polynomials Multiplication Addition
  976.    wt: 1:   1 Polynomials Distributive Law
  977.    wt: 1:   musings do not puiblish real numbers
  978.    wt: 1:   Simple Exercises
  979.    wt: 1:   6 Three Notions of What is a Variable
  980.    wt: 1:   5 Talking about Numbers and Quantities
  981.    wt: 1:   4 A Brief Story of numbers and algebra
  982.    wt: 1:   2 What is a Variable
  983.    wt: 1:   1 Three Skills For Algebra
  984.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  985.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  986.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  987.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  988.    wt: 1:   13 GCD from given Prime Factorization
  989.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  990.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  991.    wt: 1:   8 GCD from Euclidean Algorithm
  992.    wt: 1:   7 GCD and LCM from prime factorization
  993.    wt: 1:   5 Common Divisors 60 45 via Prime
  994.    wt: 1:   4 LCM of 8 and 10 via Prime
  995.    wt: 1:   1 Least Common Multiples LCM Introduction
  996.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  997.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  998.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  999.    wt: 1:   G.5 Motions With Bounded Velocities
  1000.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1001.    wt: 1:   G.3 Constant Difference Theorem Proof
  1002.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1003.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1004.    wt: 1:   F.5b Extreme Value Theorem
  1005.    wt: 1:   F.5a Equicontinuity Theorems
  1006.    wt: 1:   F.4 Finite Covering Theorem
  1007.    wt: 1:   F.3 Intermediate Value Theorem
  1008.    wt: 1:   F.2 Closed Range Theorem
  1009.    wt: 1:   F.1 What Functions are Continuous
  1010.    wt: 1:   E2 Algebraic Properties of Limits
  1011.    wt: 1:   E1 Error Control Inequalities
  1012.    wt: 1:   D2 Limits of Monotone Sequences
  1013.    wt: 1:   C Triangle Inequalities
  1014.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1015.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1016.    wt: 1:   PostScript For and Against Decimal Perspectives
  1017.    wt: 1:   A1. Introduction
  1018.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  1019.    wt: 1:   Chapter 22 Complex Numbers
  1020.    wt: 1:   Chapter 21 Arrow Addition
  1021.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1022.    wt: 1:   Chapter 18. Slopes Areas Integration
  1023.    wt: 1:   Chapter 17. Area Approximation
  1024.    wt: 1:   Chapter 16. Velocity Approximation
  1025.    wt: 1:   Chapter 15. Slope Approximation
  1026.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1027.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  1028.    wt: 1:   Chapter 13. Acceleration
  1029.    wt: 1:   Chapter 12. Units and Slopes
  1030.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1031.    wt: 1:   Chapter 9 About First Courses in Calculus
  1032.    wt: 1:   Chapter 7 Slopes and Velocity
  1033.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1034.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1035.    wt: 1:   Chapter 3. Slope Sign Analysis
  1036.    wt: 1:   Chapter 2. Slopes and Ski Trails
  1037.    wt: 1:   Appendix E. How To Study Mathematics and Why
  1038.    wt: 1:   Appendix D. What to do in School and Why
  1039.    wt: 1:   Appendix C. How to Read
  1040.    wt: 1:   Appendix B. How To Learn
  1041.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  1042.    wt: 1:   Chapter 31 Direct and Indirect Reason
  1043.    wt: 1:   Chapter 30 Truth Tables
  1044.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  1045.    wt: 1:   Chapter 28 Occurrence Tables
  1046.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  1047.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  1048.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1049.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1050.    wt: 1:   Chapter 23. Notation For Sums
  1051.    wt: 1:   Chapter 21. Third Reading Guide
  1052.    wt: 1:   Chapter 20. Degrees and Radians
  1053.    wt: 1:   Chapter 18. Rules for Algebra
  1054.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1055.    wt: 1:   Chapter 16. Painless Theorem Proving
  1056.    wt: 1:   Chapter 15. Solving Linear Equations
  1057.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  1058.    wt: 1:   Chapter 13. Second Reading Guide
  1059.    wt: 1:   Chapter 12. Shorthand Usage Guide
  1060.    wt: 1:   Chapter 11. Why Shorthand
  1061.    wt: 1:   Chapter 10 Describing and Changing Calculations
  1062.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  1063.    wt: 1:   Chapter 8 Three Skills For Algebra
  1064.    wt: 1:   Solutions For Arithmetic Exercises
  1065.    wt: 1:   Chapter 6 Change of Language
  1066.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  1067.    wt: 1:   Chapter 4 Longer Chains of Reason
  1068.    wt: 1:   Chapter 3 Chains of Reason
  1069.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  1070.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  1071.    wt: 1:   Chapter 10 Transition
  1072.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1073.    wt: 1:   Chapter 5 Four References
  1074.    wt: 1:   Foreword
  1075.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1076.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1077.    wt: 1:   Postscript B More on Story Telling and Reason
  1078.    wt: 1:   Postscript A Story Telling
  1079.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1080.    wt: 1:   Chapter 23 Truth Tables
  1081.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1082.    wt: 1:   Chapter 21 Occurrence Tables
  1083.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1084.    wt: 1:   Chapter 18 Sense and Knowledge
  1085.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1086.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  1087.    wt: 1:   Chapter 15 Objective Processes
  1088.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  1089.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  1090.    wt: 1:   Chapter 11 Accidental Patterns
  1091.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1092.    wt: 1:   Chapter 8 Change of Language
  1093.    wt: 1:   Chapter 7 Longer Chains of Reason
  1094.    wt: 1:   Chapter 6 Chains of Reason
  1095.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  1096.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1097.    wt: 1:   Chapter 2 Skill Development
  1098.    wt: 1:   Chapter 1 Introduction
  1099.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1100.    wt: 1:   H more Routine to non routine problem solving
  1101.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  1102.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1103.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1104.    wt: 1:   More Algebra and Slope based Calculus Preview
  1105.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1106.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1107.    wt: 1:   Which Way To Go
  1108.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1109.    wt: 1:   The Math Forum and Site Content
  1110.    wt: 1:   Site Reviews
  1111.    wt: 12:   chapitre 05 00 Deception
  1112.    wt: 11:   chapitre 12 00 les iles et division
  1113.    wt: 11:   chapitre 04 07 RepetablesEtReproductibles
  1114.    wt: 11:   chapitre 04 00 Les regles d implication
  1115.    wt: 10:   chapitre 07 00 Des chaines plus longues de la raison
  1116.    wt: 10:   chapitre 06 00 Chaines de la raison
  1117.    wt: 10:   chapitre 04 10 Etapes pour une meilleur raison
  1118.    wt: 10:   chapitre 04 09 Regles accidentelles
  1119.    wt: 10:   chapitre 04 08 Limitations et benefices
  1120.    wt: 10:   chapitre 04 05 Implication versus suggestion
  1121.    wt: 10:   chapitre 03 A Propos Des Prochains Chapitre
  1122.    wt: 10:   chapitre 02 00 La Communication des idees
  1123.    wt: 10:   chapitre 01 00 Introduction
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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