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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56 matches:

  1.    wt: 5:   Volume 1A Regles et modeles/
  2.    wt: 4:   7 Complex Numbers/
  3.    wt: 4:   4 Lines and Slopes Take 1/
  4.    wt: 4:   7 Arithmetic and Fractions with Units/
  5.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  6.    wt: 4:   D Decimal Long Division Methods/
  7.    wt: 3:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 3:   8 Unit Circle Trigonometry/
  9.    wt: 3:   6 Trigonometry first steps/
  10.    wt: 3:   2 Euclidean Geometry Constructions Theory extras/
  11.    wt: 3:   C Decimal Multiplication Methods/
  12.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  13.    wt: 3:   A Decimal Counting and Adding Methods/
  14.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  15.    wt: 2:   13 Vectors/
  16.    wt: 2:   12 Function Translating and Rescaling/
  17.    wt: 2:   11 Parallel Straight Lines and Transversals/
  18.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  19.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  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:   2 Arithmetic with Decimals/
  26.    wt: 2:   5 Lessons on Integration/
  27.    wt: 2:   4 Lessons on Using Derivatives/
  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:   7 Axioms Logic and Equivalent Equations/
  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:   6 Fractions and Ratios/
  41.    wt: 1:   5 Integers/
  42.    wt: 1:   3 Prime Factorization Skills/
  43.    wt: 1:   1 Decimal Place Value/
  44.    wt: 1:   Arithmetic and Number Theory Skills/
  45.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   13 Lessons on Limits and Continuity/
  48.    wt: 1:   70 Calculus Starter Lessons/
  49.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  50.    wt: 1:   Volume 2 Three Skills For Algebra/
  51.    wt: 1:   Volume 1A Pattern Based Reason/
  52.    wt: 1:   Resources and Reciprocal Links/
  53.    wt: 1:   Mathematics 506 Lessons/
  54.    wt: 1:   Quebec Material/
  55.    wt: 1:   Secondary Mathematics A Practical Approach/
  56.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

192 matches:

  1.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  3.    wt: 3:   chapitre 04 09 Regles accidentelles
  4.    wt: 3:   chapitre 04 08 Limitations et benefices
  5.    wt: 3:   chapitre 04 04 Parlons de la logique
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 2:   8 analytic geometry etc
  8.    wt: 2:   chapitre 12 00 les iles et division
  9.    wt: 2:   chapitre 07 01 principle D induction mathematique
  10.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  11.    wt: 2:   chapitre 04 06 engagements
  12.    wt: 2:   chapitre 04 05 Implication versus suggestion
  13.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  14.    wt: 2:   chapitre 04 02 Deuxieme enigme
  15.    wt: 2:   chapitre 04 01 Premiere enigme
  16.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  17.    wt: 2:   problemes algebre et arithmetique
  18.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  20.    wt: 2:   Appetizer A Complex Number Applet
  21.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  22.    wt: 2:   3 Counting with Sets etc
  23.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  24.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  25.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  26.    wt: 1:   Appendix 2 primary school Arithmetic 01
  27.    wt: 1:   Skills Chapter 2 Geometry
  28.    wt: 1:   Skills Chapter 1 Arithmetic
  29.    wt: 1:   9 combinatorics probability sets
  30.    wt: 1:   6 polynomials etc
  31.    wt: 1:   5 logarithms and exponentials etc
  32.    wt: 1:   3 Euclidean Geometry Leanly
  33.    wt: 1:   2 arithmetic with signed numbers
  34.    wt: 1:   1 arithmetic with unsigned numbers
  35.    wt: 1:   three goals to set for students
  36.    wt: 1:   Postscript 2007 01 10
  37.    wt: 1:   how letters appear
  38.    wt: 1:   geometric implications for algebra
  39.    wt: 1:   04 29 New Mathematics Curriculum
  40.    wt: 1:   04 25 when to stop or suspend mathemat
  41.    wt: 1:   How to be a better instructor
  42.    wt: 1:   chapitre 06 00 Chaines de la raison
  43.    wt: 1:   chapitre 05 00 Deception
  44.    wt: 1:   chapitre 02 00 La Communication des idees
  45.    wt: 1:   chapitre 01 00 Introduction
  46.    wt: 1:   2 Energy Power Heat07
  47.    wt: 1:   D Energy Power04
  48.    wt: 1:   F Wire Resistance Calculation04
  49.    wt: 1:   17 Math Booklets for children and young teenagers
  50.    wt: 1:   Ages 12 to 14 Geometry
  51.    wt: 1:   Ages 12 to 14 Arithmetic
  52.    wt: 1:   Ages 10 to 12 Geometry
  53.    wt: 1:   Ages 10 to 12 Arithmetic
  54.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  55.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  56.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  57.    wt: 1:   19 Horizontal line rule and method
  58.    wt: 1:   18 Vertical Line Rule and Method
  59.    wt: 1:   11 Function Domain Range Source and Targets
  60.    wt: 1:   9 Set theory term relation possible origins
  61.    wt: 1:   8 Set view of relations and functions
  62.    wt: 1:   6 Set Existence Formation and Notation
  63.    wt: 1:   5 Function notation for geometric transformations
  64.    wt: 1:   1 Geometric Introduction of Function Notation
  65.    wt: 1:   5 quadratics completing the square
  66.    wt: 1:   2 Column Multiplication Method
  67.    wt: 1:   11 Component Method
  68.    wt: 1:   10 Parallelogram Addition Method
  69.    wt: 1:   Vector and Complex Number Applet
  70.    wt: 1:   30 unit circle calculation of six trigonometric functions
  71.    wt: 1:   Unit Circle Development of Trigonometry
  72.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  73.    wt: 1:   8 Unit Circle Development of Trigonometry
  74.    wt: 1:   7 Trignometric Ratios Unit Circle
  75.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  76.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  77.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  78.    wt: 1:   3 Trigonometric Ratios sine and cosine
  79.    wt: 1:   Why Trigonometry the whyslopes view
  80.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  81.    wt: 1:   6 Geometric Diagrams in Class
  82.    wt: 1:   8 Distance Between Points on a Line
  83.    wt: 1:   7 Complex Numbers Appetizer
  84.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  85.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  86.    wt: 1:   PS B Parallelogram Construction Methods
  87.    wt: 1:   PS A Kite Construction Methods
  88.    wt: 1:   16 Angles Subtended By Chords and Diameters
  89.    wt: 1:   3 Isometry of Triangles Congruence
  90.    wt: 1:   2 Correspondence between Triangles
  91.    wt: 1:   Short Course on Euclidean Geometry
  92.    wt: 1:   A Modular and Remainder Arithmetic
  93.    wt: 1:   A Signed Number Arithmetic Review
  94.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  95.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  96.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  97.    wt: 1:   E Long Division Methods more
  98.    wt: 1:   D Long Division Methods
  99.    wt: 1:   C Three Decimal Subtraction Methods
  100.    wt: 1:   A Decimal Addition Columm Methods
  101.    wt: 1:   8 Column Multiplication Methods in General
  102.    wt: 1:   7 Decimals Multiplication Methods Examples
  103.    wt: 1:   6 Column Methods for Decimal Multiplication
  104.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  105.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 1:   4 Changing Letters
  107.    wt: 1:   3 Geometric Formulas and Function Notation
  108.    wt: 1:   Using Letters for Physical Quantities
  109.    wt: 1:   9 Sets in Probability and Statistics
  110.    wt: 1:   8 Sets of Numbers
  111.    wt: 1:   7 Cautious or Safe Set Construction
  112.    wt: 1:   6 Power Set Notation
  113.    wt: 1:   4 Subset Builder Notation
  114.    wt: 1:   1 Finite Sets
  115.    wt: 1:   3 Adding Words To Arithmetic
  116.    wt: 1:   arithmetic videos Real Player Format
  117.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  118.    wt: 1:   2 Least Common Multiple LCM intro via list method
  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:   P Exact Arithmetic With Whole Numbers and Fractions
  181.    wt: 1:   M Words to extend arithmetic
  182.    wt: 1:   Chapter 6 More Algebra and Geometry
  183.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  184.    wt: 1:   Chapter 2 Why Sets
  185.    wt: 1:   Chapter 1 Arithmetic
  186.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  187.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  188.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  189.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  190.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  191.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  192.    wt: 1:   Road Safety Questions

Extended Search

830 matches:

  1.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  3.    wt: 8:   chapitre 04 09 Regles accidentelles
  4.    wt: 8:   chapitre 04 08 Limitations et benefices
  5.    wt: 8:   chapitre 04 04 Parlons de la logique
  6.    wt: 8:   chapitre 04 00 Les regles d implication
  7.    wt: 7:   chapitre 12 00 les iles et division
  8.    wt: 7:   chapitre 07 01 principle D induction mathematique
  9.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  10.    wt: 7:   chapitre 04 06 engagements
  11.    wt: 7:   chapitre 04 05 Implication versus suggestion
  12.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  13.    wt: 7:   chapitre 04 02 Deuxieme enigme
  14.    wt: 7:   chapitre 04 01 Premiere enigme
  15.    wt: 7:   chapitre 03 A Propos Des Prochains Chapitre
  16.    wt: 6:   chapitre 06 00 Chaines de la raison
  17.    wt: 6:   chapitre 05 00 Deception
  18.    wt: 6:   chapitre 02 00 La Communication des idees
  19.    wt: 6:   chapitre 01 00 Introduction
  20.    wt: 6:   7 Second Way to Calculate Products
  21.    wt: 6:   4 Multiplication Properties
  22.    wt: 6:   Appetizer A Complex Number Applet
  23.    wt: 6:   7 Exercises to test skill and concept mastery
  24.    wt: 6:   4 Equations for lines three forms
  25.    wt: 6:   23 Remainder Arithmetic Modulo 2
  26.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  27.    wt: 6:   21 Remainder Arithmetic Modulo 3
  28.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  29.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  30.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  31.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  32.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  33.    wt: 6:   7 Long Divison Mistake Catching
  34.    wt: 6:   4 Division with 2 Digit Divsors
  35.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  36.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  37.    wt: 5:   8 Unit Circle Development of Trigonometry
  38.    wt: 5:   7 Trignometric Ratios Unit Circle
  39.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  40.    wt: 5:   7 Complex Numbers Appetizer
  41.    wt: 5:   7 Angle Side Angle
  42.    wt: 5:   4 Side Side Side
  43.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  44.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  45.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  46.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  47.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  48.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  49.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  50.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  51.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  52.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  53.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  54.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  55.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  56.    wt: 5:   5 Remainder Arithmetic Modulo 5
  57.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  58.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  59.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  60.    wt: 5:   1 Remainder Arithmetic Modulo 10
  61.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  62.    wt: 5:   A Elementary Basis for Multiplication Methods
  63.    wt: 5:   4 Two and Three Digit Multipliers
  64.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  65.    wt: 4:   7 Coordinate Addition and Scalar Multiplication
  66.    wt: 4:   4 Resultant of a Sum of Movements
  67.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  68.    wt: 4:   30 unit circle calculation of six trigonometric functions
  69.    wt: 4:   10 Graphs of sines and cosines many periods
  70.    wt: 4:   7 period of sine and cosine
  71.    wt: 4:   Unit Circle Development of Trigonometry
  72.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  73.    wt: 4:   21 Logarithms Powers and Exponentials
  74.    wt: 4:   20 N th Roots of Complex Numbers
  75.    wt: 4:   19 N th Roots of Unity
  76.    wt: 4:   18 Sixth Roots of Unity
  77.    wt: 4:   17 Cube Roots of unity
  78.    wt: 4:   16 References and Originality Question
  79.    wt: 4:   15 Pythagorean Theorem Converse
  80.    wt: 4:   14 Law of cosines
  81.    wt: 4:   13 Trig Formulas for dot and cross Products
  82.    wt: 4:   12 cis formulas for sine cosines and tangent
  83.    wt: 4:   11 sine and cosine double triple angle formulas
  84.    wt: 4:   10 sine cosine Angle Sum Formulas via cis
  85.    wt: 4:   9 The complex number valued trig function cis
  86.    wt: 4:   6 Field Properties of Complex Number
  87.    wt: 4:   5 An Easy Proof of the Distributive Law
  88.    wt: 4:   3 Addition Properties
  89.    wt: 4:   2 Complex Numbers made easier we hope
  90.    wt: 4:   1 Rectangular Polar Coordinates Review
  91.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  92.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  93.    wt: 4:   3 Trigonometric Ratios sine and cosine
  94.    wt: 4:   Why Trigonometry the whyslopes view
  95.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  96.    wt: 4:   Four Simple Exercises
  97.    wt: 4:   12 Links Lessons elsewhere
  98.    wt: 4:   11 A Partial Summary
  99.    wt: 4:   10 Midpoint of [a b] and [b a]
  100.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  101.    wt: 4:   8 Mid Point Formula
  102.    wt: 4:   6 Intersection of lines by solving linear systems
  103.    wt: 4:   5 Algebraic View of Slopes
  104.    wt: 4:   3 Slope product for perpendicular lines
  105.    wt: 4:   2 point slope equation for a line
  106.    wt: 4:   1 Numerical view of lines and their equations
  107.    wt: 4:   What is and is not here
  108.    wt: 4:   4 Polar Coordinates to and from
  109.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  110.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  111.    wt: 4:   PS B Parallelogram Construction Methods
  112.    wt: 4:   PS A Kite Construction Methods
  113.    wt: 4:   16 Angles Subtended By Chords and Diameters
  114.    wt: 4:   3 Isometry of Triangles Congruence
  115.    wt: 4:   2 Correspondence between Triangles
  116.    wt: 4:   Short Course on Euclidean Geometry
  117.    wt: 4:   7 Decimals Multiplication Methods Examples
  118.    wt: 4:   7 negative and additive inverse
  119.    wt: 4:   4 signed coordinates for regions in space
  120.    wt: 4:   7 Converting or Changing Units
  121.    wt: 4:   6 Simplification of Fractions with Units
  122.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  123.    wt: 4:   4 Fractions with Units
  124.    wt: 4:   3 Multiplying Units and Numbers
  125.    wt: 4:   2 Equality and Units
  126.    wt: 4:   1 Addition and Subtraction with Units
  127.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  128.    wt: 4:   26 Divisibility by 2 3 5 Example
  129.    wt: 4:   Long Division Backwards more
  130.    wt: 4:   Long Division Backward
  131.    wt: 4:   Division with Counts and Length
  132.    wt: 4:   Long Division forwards and backwards Example 3
  133.    wt: 4:   Long Division forwards and backwards Example 2
  134.    wt: 4:   Long Division forwards and backwards Example 1
  135.    wt: 4:   12 Why Long Division Works Take III
  136.    wt: 4:   11 Another Single Digit Divisor Example
  137.    wt: 4:   10 Division by Five Long and Short Ways
  138.    wt: 4:   9 Why Long Division Works Take II
  139.    wt: 4:   8 Correcting the Mistake
  140.    wt: 4:   5 Long Division Include Zeroes or not
  141.    wt: 4:   3 Division Single Digit Divisor Example
  142.    wt: 4:   2 Division with Single Digit Divisors
  143.    wt: 4:   1 Divsion Physical Examples
  144.    wt: 4:   D Decimal Multiplication Methods Derived
  145.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  146.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  147.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  148.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  149.    wt: 4:   7 Adding decimal fractions using decimal point
  150.    wt: 4:   4. How to add with decimals B with conversions
  151.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  152.    wt: 3:   problemes algebre et arithmetique
  153.    wt: 3:   7 Functions with finite domains
  154.    wt: 3:   4 Function notation in and beyond mathematics
  155.    wt: 3:   16 cotangent function Definition Graph and Inverse
  156.    wt: 3:   15 cosecant function Definition Graph and Inverse
  157.    wt: 3:   14 secant function Definition Graph and Inverse
  158.    wt: 3:   13 cosecant function Definition Graph and Inverse
  159.    wt: 3:   12 motivation for term arctan
  160.    wt: 3:   11 arctan left inverse of tangent Graph
  161.    wt: 3:   10 arctan left inverse of tangent Definition
  162.    wt: 3:   9 motivation for name arcsin
  163.    wt: 3:   8 arcsin left inverse of sine Graph
  164.    wt: 3:   7 arcsin left inverse of sine Definition
  165.    wt: 3:   6 Graph of arccos function
  166.    wt: 3:   5 Swapping Coordinates is a reflection
  167.    wt: 3:   4 possible motivation for term arccos
  168.    wt: 3:   3 Left Inverse of cosine arccos definition
  169.    wt: 3:   2 cosine function more properties
  170.    wt: 3:   1 cosine function properties
  171.    wt: 3:   11 Component Method
  172.    wt: 3:   10 Parallelogram Addition Method
  173.    wt: 3:   5 Head To Tail Arrow Addition
  174.    wt: 3:   Vector and Complex Number Applet
  175.    wt: 3:   4 graphing y=Asin(x c)
  176.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  177.    wt: 3:   Straight Lines ASA Intersection Study More
  178.    wt: 3:   Straight Lines ASA Intersection Study
  179.    wt: 3:   Straight Lines Instersection Solving Equations
  180.    wt: 3:   17 tangent function angle sum formulas
  181.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  182.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  183.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  184.    wt: 3:   32 seven rows of pascals triangle
  185.    wt: 3:   31 basic secant cosecant cotangent trig identities
  186.    wt: 3:   29 secant cosecant and cotangent for acute angles
  187.    wt: 3:   28 Expressing products of sines cosines as sums
  188.    wt: 3:   27 Logarithmic use of products of sines and cosines
  189.    wt: 3:   26 Formulas for products of sines and cosines
  190.    wt: 3:   25 tangent double angle formula Slope connection
  191.    wt: 3:   24 tangent Angle Difference Formula
  192.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  193.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  194.    wt: 3:   21 sine and cosine Half Angle Formulas
  195.    wt: 3:   20 sine and cosine Double Angle Formulas
  196.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  197.    wt: 3:   18 sum of sinusoidal waves as a single wave
  198.    wt: 3:   17G Pythagorean Theorem Converse
  199.    wt: 3:   17F Law of cosines
  200.    wt: 3:   17E Trig Formulas for dot and cross Products
  201.    wt: 3:   17D cis formulas for sine cosines and tangent
  202.    wt: 3:   17C sine and cosine double triple angle formulas
  203.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  204.    wt: 3:   17A The complex number valued trig function cis
  205.    wt: 3:   16 Right Triangle Complementary Angle Relations
  206.    wt: 3:   15 sine cosine Complementary Angle Relations
  207.    wt: 3:   14 cosine even and sine and tangent are odd
  208.    wt: 3:   13 Graph of tangent function many periods
  209.    wt: 3:   12 Graph of tangent function for one period
  210.    wt: 3:   11 tangent function undefined when terminal side vertical
  211.    wt: 3:   9 Graphs of sine and cosine over one period
  212.    wt: 3:   8 period of tangent function
  213.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  214.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  215.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  216.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  217.    wt: 3:   2 Quadrant I reference Angles
  218.    wt: 3:   1 Unit Points Reflections Rotations
  219.    wt: 3:   8 Triangles Cascade Problem Solving
  220.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  221.    wt: 3:   1 Angle Measurement with Degrees
  222.    wt: 3:   7 Translations Rotations Reflections Dilatations
  223.    wt: 3:   6 Geometric Diagrams in Class
  224.    wt: 3:   4 Similarity Definition with Coordinate
  225.    wt: 3:   8 Distance Between Points on a Line
  226.    wt: 3:   PS H Distributive Law For Complex Numbers
  227.    wt: 3:   PS G Rotation Distributes over Addition
  228.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  229.    wt: 3:   PS E Multiplication with Polar Coordinates
  230.    wt: 3:   PS D Addition with Cartesian Coordinates
  231.    wt: 3:   21 Parallelograms
  232.    wt: 3:   19 Right Triangle Similarity
  233.    wt: 3:   18 Triangle Similarity Take 1
  234.    wt: 3:   17 Right Bisectors of Triangle Sides
  235.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  236.    wt: 3:   14 Parallel Lines Postulate
  237.    wt: 3:   13 Angle Side Angle Failure
  238.    wt: 3:   12 Side Angle Side Failure
  239.    wt: 3:   11 Triangle Construction Fails
  240.    wt: 3:   10 Dropping a perpendicular to line
  241.    wt: 3:   9 Construction of a right bisector
  242.    wt: 3:   8 Isoceles Triangles
  243.    wt: 3:   6 Ruler and compass Angle Bisection
  244.    wt: 3:   5 Side Angle Side
  245.    wt: 3:   1 Initial Concepts and Terms
  246.    wt: 3:   4 Angles on Maps Plans drawn to scale
  247.    wt: 3:   8 Column Multiplication Methods in General
  248.    wt: 3:   4 Commutative Law Groups Counting Form
  249.    wt: 3:   4 Changing Letters
  250.    wt: 3:   4 GE III Animated Examples
  251.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  252.    wt: 3:   7 Cautious or Safe Set Construction
  253.    wt: 3:   4 Subset Builder Notation
  254.    wt: 3:   3 Counting with Sets etc
  255.    wt: 3:   4 Greater More Less Than Signs in General
  256.    wt: 3:   1 Counting and Counting Methods I
  257.    wt: 3:   7 Multiplication by Signs
  258.    wt: 3:   4 Adding Movements wiht opposite directions
  259.    wt: 3:   7 Calculator Usage Notes and Cautions
  260.    wt: 3:   4 video Prime Factorization Introduction
  261.    wt: 3:   C Counting Areas with Powers of Ten
  262.    wt: 3:   B Powers of Ten
  263.    wt: 3:   6 Multiplication Commutes Order Not Important
  264.    wt: 3:   5 Decimal Fraction Multiplication
  265.    wt: 3:   3 More One Digit Multipliers
  266.    wt: 3:   2 One Digit Multipliers
  267.    wt: 3:   Video Power Notation in Decimal Expansion
  268.    wt: 3:   1 Why 3 times 5 gives 15
  269.    wt: 3:   Subtraction with J Conversions Example
  270.    wt: 3:   Subtraction Another Video Lesson
  271.    wt: 3:   9 22 Minute Subtraction Review Video
  272.    wt: 3:   8 Subtraction with Units of Measure
  273.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  274.    wt: 3:   5 A Tip for Efficent Subtraction
  275.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  276.    wt: 3:   2 Subtraction Easy Case Examples
  277.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  278.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  279.    wt: 3:   8 What skills and work habits to require
  280.    wt: 3:   6. Counting and adding units and mixed units
  281.    wt: 3:   5. How to add decimals C. Examples
  282.    wt: 3:   3. How to add with decimals A sans conversions
  283.    wt: 3:   2 Decimal Counting Practices
  284.    wt: 3:   1. Explaining Addition Table
  285.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  286.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  287.    wt: 3:   Exact Arithmetic Wholes and Fractions
  288.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  289.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  290.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  291.    wt: 3:   Area Between Curves Lesson Take 2
  292.    wt: 3:   A Related Material in Volume 3
  293.    wt: 3:   5 Area Under Curve Exercise
  294.    wt: 3:   4 Definite Integrals Evaluation Exercises
  295.    wt: 3:   3 Two Chain Rule Method Exercises
  296.    wt: 3:   2 Indefinite Integrals Exercises
  297.    wt: 3:   1 Chain Rule in Reverse Integration Method
  298.    wt: 3:   4 Second derivative test exercise example
  299.    wt: 3:   3 Second derivative test
  300.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  301.    wt: 3:   7 Evaluation by immediate or delayed substitution
  302.    wt: 3:   Solutions For Arithmetic Exercises
  303.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  304.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  305.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  306.    wt: 2:   8 analytic geometry etc
  307.    wt: 2:   geometric implications for algebra
  308.    wt: 2:   deux definitions pour variable
  309.    wt: 2:   7 Student Motivation
  310.    wt: 2:   4 Learning Takes Time and Effort
  311.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  312.    wt: 2:   19 Horizontal line rule and method
  313.    wt: 2:   18 Vertical Line Rule and Method
  314.    wt: 2:   11 Function Domain Range Source and Targets
  315.    wt: 2:   9 Set theory term relation possible origins
  316.    wt: 2:   8 Set view of relations and functions
  317.    wt: 2:   6 Set Existence Formation and Notation
  318.    wt: 2:   5 Function notation for geometric transformations
  319.    wt: 2:   1 Geometric Introduction of Function Notation
  320.    wt: 2:   7 quadratic formulla derivation
  321.    wt: 2:   5 quadratics completing the square
  322.    wt: 2:   4 quadratics difference of two squares
  323.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  324.    wt: 2:   9 Summary Degrees to Radians and back
  325.    wt: 2:   8 Radian Measures of Common Angles
  326.    wt: 2:   7 Radian Measures in special Triangles
  327.    wt: 2:   6 Radian Measure to Degrees
  328.    wt: 2:   5 Degrees to Radian Measure
  329.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  330.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  331.    wt: 2:   2 Radian Measure Numerical Value of one degree
  332.    wt: 2:   1 Degrees and Radians Introduction
  333.    wt: 2:   A Global Time and Navigation
  334.    wt: 2:   15 Dot and Cross Product
  335.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  336.    wt: 2:   13 Velocity Vectors in Physics
  337.    wt: 2:   12 From Applied To Pure Mathematics
  338.    wt: 2:   9 Head to Tail Coordinate View
  339.    wt: 2:   8 Parallel Vectors
  340.    wt: 2:   6 Vectors with Coordinates
  341.    wt: 2:   3 Navigation with Arrows or Vectors
  342.    wt: 2:   2 Signed Coordinates
  343.    wt: 2:   1 Unsigned Coordinates
  344.    wt: 2:   3 graphing y=f(x c) plus K
  345.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  346.    wt: 2:   1 graphing y=f(x a)
  347.    wt: 2:   Parallel Lines and Parallel Transversals
  348.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  349.    wt: 2:   Triangle Angles Sum To 180 Degrees
  350.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  351.    wt: 2:   Parallel Lines and Interior Angles
  352.    wt: 2:   Straight Lines Intersection of
  353.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  354.    wt: 2:   C Straight Lines Slope from Coordinates
  355.    wt: 2:   B Straight Line Slope Scaling Properties More
  356.    wt: 2:   A Straight Line Slope Scaling Properties
  357.    wt: 2:   14 Straight Lines Equations General Case
  358.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  359.    wt: 2:   12 Straight Lines Graphing mx plus b
  360.    wt: 2:   11 Straight Lines Graphing y=mx
  361.    wt: 2:   10 Straight Lines through Origin Equations More
  362.    wt: 2:   9 Straight Lines through Origin Equations
  363.    wt: 2:   8 Straight Lines Equation for vertical
  364.    wt: 2:   7 Tangent Function is odd on this domain
  365.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  366.    wt: 2:   5 Tangent Function Graph
  367.    wt: 2:   4 Tangent Function Properties
  368.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  369.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  370.    wt: 2:   1 Straight Lines Slope Concept
  371.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  372.    wt: 2:   12 Triangles Similarity More Problems
  373.    wt: 2:   11 Triangle Similarity Missing Side Problem
  374.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  375.    wt: 2:   9 Similarity of Triangles Usual Criteria
  376.    wt: 2:   8 Similarity of Triangles and Polygons
  377.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  378.    wt: 2:   3 Similarity by Design with coordinates
  379.    wt: 2:   2 Similarity By Design
  380.    wt: 2:   1 Early Concept of Like or Similar Shapes
  381.    wt: 2:   13 Pythagorean spatial distance formulas
  382.    wt: 2:   12 Spatial Coordinates
  383.    wt: 2:   11 Triangle Inequality
  384.    wt: 2:   10 Pythagorean plane distance formula
  385.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  386.    wt: 2:   6 Polar Multiplication and Rotation
  387.    wt: 2:   5 Cartesian Addition and Translation
  388.    wt: 2:   3 Rectangular Coordinates Review
  389.    wt: 2:   2 Cartesian Coordinates with signs
  390.    wt: 2:   1 Cartesian Coordinates sans signs
  391.    wt: 2:   A Measurement with Ruler Proper Use
  392.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  393.    wt: 2:   6 Figuring with Maps Not to Scale
  394.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  395.    wt: 2:   3 Lengths and Areas on Maps and Plans
  396.    wt: 2:   2 Measuring Area Directly
  397.    wt: 2:   1 Length Measurement
  398.    wt: 2:   About Folder Contents
  399.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  400.    wt: 2:   E Long Division Methods more
  401.    wt: 2:   D Long Division Methods
  402.    wt: 2:   C Three Decimal Subtraction Methods
  403.    wt: 2:   A Decimal Addition Columm Methods
  404.    wt: 2:   6 Column Methods for Decimal Multiplication
  405.    wt: 2:   4 Rates Ratios and Proporitionality
  406.    wt: 2:   4 Subtraction and Division Axioms
  407.    wt: 2:   3 Geometric Formulas and Function Notation
  408.    wt: 2:   4 Solving a triangular system exercise
  409.    wt: 2:   4 Four Examples Fractional Coefficients
  410.    wt: 2:   7 Two Examples
  411.    wt: 2:   4 Two Examples
  412.    wt: 2:   9 Sets in Probability and Statistics
  413.    wt: 2:   8 Sets of Numbers
  414.    wt: 2:   6 Power Set Notation
  415.    wt: 2:   1 Finite Sets
  416.    wt: 2:   arithmetic videos Real Player Format
  417.    wt: 2:   13 GCD from given Prime Factorization
  418.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  419.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  420.    wt: 2:   2 Least Common Multiple LCM intro via list method
  421.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  422.    wt: 2:   4 Counting with Trees Product Rule Take I
  423.    wt: 2:   3 Counting with Tables and Trees II
  424.    wt: 2:   2 Counting with Tables and Trees I
  425.    wt: 2:   11 What are real lengths and numbers
  426.    wt: 2:   10 dividing signed numbers
  427.    wt: 2:   9 subtracting signed numbers
  428.    wt: 2:   8 multiplying signed numbers
  429.    wt: 2:   6 adding signed numbers
  430.    wt: 2:   5 lengths and signs of numbers
  431.    wt: 2:   3 signed coordinates for maps and planes
  432.    wt: 2:   2 signed and unsigned numbers as coordinates
  433.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  434.    wt: 2:   13 Fraction Comparison Algebraic View
  435.    wt: 2:   12 Fraction Comparison
  436.    wt: 2:   11 Simplification an Algebraic View
  437.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  438.    wt: 2:   4 Fraction Multiplication
  439.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  440.    wt: 2:   Quick history of numbers and algebra
  441.    wt: 2:   Formula Evaluation how to show work
  442.    wt: 2:   Expression Evaluation how to show work
  443.    wt: 2:   Example 1. Area Between x and x squared
  444.    wt: 2:   Area Between Curves Lesson Take 1
  445.    wt: 2:   A Related lessons in Volume 3
  446.    wt: 2:   2 Second derivative test prequel
  447.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  448.    wt: 2:   26 Chain Rule Recognising outer inner functions
  449.    wt: 2:   25 Chain Rule Animated Examples Continued
  450.    wt: 2:   24 Chain Rule Animated Examples
  451.    wt: 2:   23 Chain Rule in general
  452.    wt: 2:   22 Chain Rule for polynomials
  453.    wt: 2:   21 Chain Rule for powers
  454.    wt: 2:   20 Chain Rule for Pulley Systems
  455.    wt: 2:   19 Chain Rule for linear functions
  456.    wt: 2:   18 Chain Rule Introduction
  457.    wt: 2:   14 sine and cosine derivatives 2nd step
  458.    wt: 2:   13 sine and cosine derivatives 1st step
  459.    wt: 2:   7 Animated Differentiation Examples
  460.    wt: 2:   4 Sum Rule
  461.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  462.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  463.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  464.    wt: 2:   4 Numerical properties
  465.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  466.    wt: 2:   Chapter 23 Links To Trigonometry
  467.    wt: 2:   Chapter 8. Slope Interpretation
  468.    wt: 2:   Chapter 7 Slopes and Velocity
  469.    wt: 2:   Chapter 4. More Slope Sign Analysis
  470.    wt: 2:   Fall 1983 Calculus Appetizer
  471.    wt: 2:   Postscript More on Better Performance
  472.    wt: 2:   Postscript For Better Performance
  473.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  474.    wt: 2:   Chapter 19. Functions and Sets
  475.    wt: 2:   Chapter 4 Longer Chains of Reason
  476.    wt: 2:   Chapter 7 Two Treatments of Geometry
  477.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  478.    wt: 2:   Chapter 7 Longer Chains of Reason
  479.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  480.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  481.    wt: 2:   Chapter 6 More Algebra and Geometry
  482.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  483.    wt: 2:   Chapter 2 Why Sets
  484.    wt: 2:   Chapter 1 Arithmetic
  485.    wt: 2:   7 Games and Activities for Instruction
  486.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  487.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  488.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  489.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  490.    wt: 1:   Appendix 2 primary school Arithmetic 01
  491.    wt: 1:   Skills Chapter 2 Geometry
  492.    wt: 1:   Skills Chapter 1 Arithmetic
  493.    wt: 1:   9 combinatorics probability sets
  494.    wt: 1:   7 logic review and decimals an odd combination
  495.    wt: 1:   6 polynomials etc
  496.    wt: 1:   5 logarithms and exponentials etc
  497.    wt: 1:   4 algebra
  498.    wt: 1:   3 Euclidean Geometry Leanly
  499.    wt: 1:   2 arithmetic with signed numbers
  500.    wt: 1:   1 arithmetic with unsigned numbers
  501.    wt: 1:   three goals to set for students
  502.    wt: 1:   Teach the teachers plus goals
  503.    wt: 1:   site eurekas
  504.    wt: 1:   Postscript 2007 01 10
  505.    wt: 1:   how letters appear
  506.    wt: 1:   three difficulties
  507.    wt: 1:   04 29 New Mathematics Curriculum
  508.    wt: 1:   04 25 when to stop or suspend mathemat
  509.    wt: 1:   standards for course material
  510.    wt: 1:   Education in mathematics science and technology
  511.    wt: 1:   How to be a better instructor
  512.    wt: 1:   Leaner mathematics curriculum
  513.    wt: 1:   liens
  514.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  515.    wt: 1:   problemes responses
  516.    wt: 1:   Trois Notions qui menent a algebre
  517.    wt: 1:   logique deux enigme
  518.    wt: 1:   4 Energy Power Heat09
  519.    wt: 1:   2 Energy Power Heat07
  520.    wt: 1:   D Energy Power04
  521.    wt: 1:   F Wire Resistance Calculation04
  522.    wt: 1:   F Unlike Resistors in Series
  523.    wt: 1:   C Electromotive force conventional current02
  524.    wt: 1:   17 Math Booklets for children and young teenagers
  525.    wt: 1:   Ages 12 to 14 Geometry
  526.    wt: 1:   Ages 12 to 14 Arithmetic
  527.    wt: 1:   Ages 10 to 12 Geometry
  528.    wt: 1:   Ages 10 to 12 Arithmetic
  529.    wt: 1:   Ages 7 to 8
  530.    wt: 1:   Ages 4 plus to 5 plus
  531.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  532.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  533.    wt: 1:   26 Function definitions done and coming
  534.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  535.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  536.    wt: 1:   23 Inverse Functions
  537.    wt: 1:   22 Square Root function graphically
  538.    wt: 1:   20 Interchanging coordinates a reflection
  539.    wt: 1:   17 Function maxima minima and their location
  540.    wt: 1:   16 Increasing or decreasing on intervals
  541.    wt: 1:   15 Sign analysis of functions
  542.    wt: 1:   14 Surjections Injections Bijections
  543.    wt: 1:   13 From one to one to many to one
  544.    wt: 1:   12 Function Domain Recognition Exercises
  545.    wt: 1:   10 Interval Notation
  546.    wt: 1:   3 Formula or function graphing exercise
  547.    wt: 1:   2 Algebraic use of function notation
  548.    wt: 1:   Introduction Reading Guide
  549.    wt: 1:   A Quadratics Summary
  550.    wt: 1:   10 quadratic exercises
  551.    wt: 1:   9 quadratics physical and further context
  552.    wt: 1:   8 quadratics backward use of various formulas
  553.    wt: 1:   6 quadratics numerical approach
  554.    wt: 1:   3 quadratics factoring by inspection
  555.    wt: 1:   2 quadratics graphing in general
  556.    wt: 1:   1 quadratics graphing exercises
  557.    wt: 1:   Quadratics in 10 steps
  558.    wt: 1:   7 Links Lessons Elsewhere
  559.    wt: 1:   4 Polynomials Long division linear divisor
  560.    wt: 1:   2 Column Multiplication Method
  561.    wt: 1:   A Modular and Remainder Arithmetic
  562.    wt: 1:   A Signed Number Arithmetic Review
  563.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  564.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  565.    wt: 1:   4 Location of Point in Decimal Addition
  566.    wt: 1:   B Decimal Comparison and Subtraction
  567.    wt: 1:   5 Distributive Law for Whole Numbers
  568.    wt: 1:   3 Multiplicative Counting Skills Principles
  569.    wt: 1:   2 Combing Counts Addition Skills and Principles
  570.    wt: 1:   1 The Counting Origins of Numbers
  571.    wt: 1:   4 Fraction Operations Axiomatic Development
  572.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  573.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  574.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  575.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  576.    wt: 1:   6 Equations and Systems Equivalent or Implied
  577.    wt: 1:   5 Equality in Algebra
  578.    wt: 1:   3 Product Axioms Two Forms
  579.    wt: 1:   2 Addition and Multiplication Axioms
  580.    wt: 1:   1 Equivalent Computation Rules
  581.    wt: 1:   4 Comparison of Negative Numbers
  582.    wt: 1:   7 Real Numbers as Line Cordinates
  583.    wt: 1:   4 Rational Numbers
  584.    wt: 1:   5 Independent versus Dependent Variables
  585.    wt: 1:   2 Computation Rules Evaluation
  586.    wt: 1:   1 Formulas Dependence and Function Notation
  587.    wt: 1:   Simple Exercises
  588.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  589.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  590.    wt: 1:   3 GE III Equation Addition and Multiplication
  591.    wt: 1:   2 GE II Comparison
  592.    wt: 1:   1 GE Substitution four examples
  593.    wt: 1:   Using Letters for Physical Quantities
  594.    wt: 1:   7 Compound Interest Formula Introduction
  595.    wt: 1:   4 Circle Area Formula Example
  596.    wt: 1:   5 Product Builder Notation
  597.    wt: 1:   2 Venn Diagrams
  598.    wt: 1:   4 A Brief Story of numbers and algebra
  599.    wt: 1:   3 Adding Words To Arithmetic
  600.    wt: 1:   3 Comparison of Negative Numbers
  601.    wt: 1:   2 More and Less Than with Unlike Signs
  602.    wt: 1:   1 More and Less Than for Counts and Measures
  603.    wt: 1:   5 Square Roots with primes more still
  604.    wt: 1:   4 Square Roots with primes more
  605.    wt: 1:   3 Properties of Square Roots with example
  606.    wt: 1:   2 Square Roots with Prime
  607.    wt: 1:   1 Squares and Square Roots Introduction
  608.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  609.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  610.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  611.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  612.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  613.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  614.    wt: 1:   8 GCD from Euclidean Algorithm
  615.    wt: 1:   7 GCD and LCM from prime factorization
  616.    wt: 1:   6 GCD from Prime
  617.    wt: 1:   5 Common Divisors 60 45 via Prime
  618.    wt: 1:   4 LCM of 8 and 10 via Prime
  619.    wt: 1:   1 Least Common Multiples LCM Introduction
  620.    wt: 1:   12 GCD 2700 288 via Prime
  621.    wt: 1:   D Three Term Ratios
  622.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  623.    wt: 1:   B Fractions and Two Term Ratios
  624.    wt: 1:   22 Complex Compound Fractions
  625.    wt: 1:   21 Working With Signs
  626.    wt: 1:   21 Reciprocals for Fractions and Wholes
  627.    wt: 1:   20 Dividing Fractions the Why
  628.    wt: 1:   19 Dividing Fractions How TO
  629.    wt: 1:   18 Efficient Ways to Multiply
  630.    wt: 1:   17 Efficient Ways to Add and Subtract
  631.    wt: 1:   16 Addition Subtraction Comparision Compared
  632.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  633.    wt: 1:   14 Adding and Subtracting with Like Denominators
  634.    wt: 1:   9 Improper Fractions and Mixed Numbers
  635.    wt: 1:   8 Numerals Fractionals Quantals Take II
  636.    wt: 1:   7 Numerals Fractionals Quantals
  637.    wt: 1:   6 Multiplication of Mixed Numbers
  638.    wt: 1:   6 Multiplication Algebraically Take II
  639.    wt: 1:   5 Equivalent Fractions
  640.    wt: 1:   3 Unit fraction of a fraction
  641.    wt: 1:   2 Unit Fraction Multiplication
  642.    wt: 1:   1 What is a fraction Take II
  643.    wt: 1:   1 What is a fraction
  644.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  645.    wt: 1:   D Remainders Modulo 11 Pair Rule
  646.    wt: 1:   B Integer Long Division Multiple Choices
  647.    wt: 1:   A Associative Law Theorectical Note
  648.    wt: 1:   13 Subtraction with Additive Inverse
  649.    wt: 1:   12 Adding Integers More Examples
  650.    wt: 1:   11 Adding Integers Formulas and Examples
  651.    wt: 1:   10 Integer Multiplication Formulas
  652.    wt: 1:   9 Multiplying Integers
  653.    wt: 1:   8 Multiplication by Signed Numbers Integers
  654.    wt: 1:   6 Multiplication by Natural Numbers
  655.    wt: 1:   5 Zero Movement and Additive Inverses
  656.    wt: 1:   3 Adding Movements with same direction
  657.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  658.    wt: 1:   1 Integers as Coordinates
  659.    wt: 1:   20 Uniqueness of Prime Factorization
  660.    wt: 1:   19 video Prime Factorization Unique
  661.    wt: 1:   18 video Count Factors given Prime Factorization
  662.    wt: 1:   17 Identify and Count Factors using Primes
  663.    wt: 1:   16 video Factors of 980 using prime
  664.    wt: 1:   15 video Factors of 20 using Prime Factorization
  665.    wt: 1:   14 video Factors of 24 Take II
  666.    wt: 1:   13 video Factors of 24 using prime
  667.    wt: 1:   12 LCD GCD and LCM using Primes
  668.    wt: 1:   11 Efficient Square Rule Use
  669.    wt: 1:   10 video Prime Factorization upto 23 squared
  670.    wt: 1:   9 video Prime Factorization upto 19 squared
  671.    wt: 1:   8 video Prime Factorization upto 19
  672.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  673.    wt: 1:   5 Prime Factorization and a Square Rule
  674.    wt: 1:   3 video Primes and Composites from 9 times table
  675.    wt: 1:   2 Prime and Composites less than 16
  676.    wt: 1:   1 video how Products are bigger than factor
  677.    wt: 1:   11 Place Value SI Standard International way
  678.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  679.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  680.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  681.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  682.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  683.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  684.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  685.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  686.    wt: 1:   The 20 Times Table
  687.    wt: 1:   The 12 Times Table Visually
  688.    wt: 1:   About folder contents
  689.    wt: 1:   7 Addition of Time Intervals
  690.    wt: 1:   5 Conversion Arithmetic
  691.    wt: 1:   4 Mixing and Changing Units of Time
  692.    wt: 1:   Example 2 volume of a cone
  693.    wt: 1:   Example 1 volume of a pyramid
  694.    wt: 1:   Volume of Solid by Cross Sections Lesson
  695.    wt: 1:   Example 4 with x function of y
  696.    wt: 1:   Example 3
  697.    wt: 1:   Example 2
  698.    wt: 1:   Example 1
  699.    wt: 1:   Summary
  700.    wt: 1:   A Chain Rule Real Player video examples
  701.    wt: 1:   38 Formulas and derivatives for powers and roots
  702.    wt: 1:   36 Cube root derivative animated
  703.    wt: 1:   34 Derivative of exponential function
  704.    wt: 1:   33 Chain Rule Real Player video examples
  705.    wt: 1:   31 Derivatives of inverse functions
  706.    wt: 1:   30Chain Rule A Proof
  707.    wt: 1:   29 Chain Rule Optional Reading
  708.    wt: 1:   28 Chain Rule Preparation for a Proof
  709.    wt: 1:   17 Derivatives of quotients of sine and cosine
  710.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  711.    wt: 1:   15 sine and cosine derivatives 3rd step
  712.    wt: 1:   12 Quotient rule examples
  713.    wt: 1:   11 Quotient rule
  714.    wt: 1:   10 Power rule for negative integers
  715.    wt: 1:   9 Reciprocal rule
  716.    wt: 1:   8 Differentiation of polynomials
  717.    wt: 1:   6 Power rule from product rule
  718.    wt: 1:   5 Product Rule
  719.    wt: 1:   3 Motivation for Limit Definition Take 2
  720.    wt: 1:   2 Motivation for Limit Definition Take 1
  721.    wt: 1:   11 Limits at infinity Three Examples
  722.    wt: 1:   10 Three one sided limits with infinite values
  723.    wt: 1:   9 Limits Continuity and Composition
  724.    wt: 1:   8 Four Animated Examples
  725.    wt: 1:   6 Continuity at a point
  726.    wt: 1:   5 Jumps and absence of unlimited error control
  727.    wt: 1:   3 Decimal insights for limits continuity convergence
  728.    wt: 1:   2 Algebraic codification
  729.    wt: 1:   1 Numerical introduction
  730.    wt: 1:   E1 Error Control Inequalities
  731.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  732.    wt: 1:   C Triangle Inequalities
  733.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  734.    wt: 1:   Chapter 22 Complex Numbers
  735.    wt: 1:   Chapter 21 Arrow Addition
  736.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  737.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  738.    wt: 1:   Chapter 18. Slopes Areas Integration
  739.    wt: 1:   Chapter 17. Area Approximation
  740.    wt: 1:   Chapter 16. Velocity Approximation
  741.    wt: 1:   Chapter 15. Slope Approximation
  742.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  743.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  744.    wt: 1:   Chapter 13. Acceleration
  745.    wt: 1:   Chapter 12. Units and Slopes
  746.    wt: 1:   Chapter 11. Graphing Slope versus Position
  747.    wt: 1:   Chapter 10 Slopes and Units
  748.    wt: 1:   Chapter 9 About First Courses in Calculus
  749.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  750.    wt: 1:   Chapter 5. Slope Sign Tests
  751.    wt: 1:   Chapter 3. Slope Sign Analysis
  752.    wt: 1:   Chapter 2. Slopes and Ski Trails
  753.    wt: 1:   Chapter 1.Introduction
  754.    wt: 1:   Foreword
  755.    wt: 1:   Appendix E. How To Study Mathematics and Why
  756.    wt: 1:   Appendix D. What to do in School and Why
  757.    wt: 1:   Appendix C. How to Read
  758.    wt: 1:   Appendix B. How To Learn
  759.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  760.    wt: 1:   Chapter 31 Direct and Indirect Reason
  761.    wt: 1:   Chapter 30 Truth Tables
  762.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  763.    wt: 1:   Chapter 28 Occurrence Tables
  764.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  765.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  766.    wt: 1:   Chapter 25. Mathematical Induction Examples
  767.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  768.    wt: 1:   Chapter 23. Notation For Sums
  769.    wt: 1:   Chapter 21. Third Reading Guide
  770.    wt: 1:   Chapter 20. Degrees and Radians
  771.    wt: 1:   Chapter 18. Rules for Algebra
  772.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  773.    wt: 1:   Chapter 16. Painless Theorem Proving
  774.    wt: 1:   Chapter 15. Solving Linear Equations
  775.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  776.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  777.    wt: 1:   Chapter 13. Second Reading Guide
  778.    wt: 1:   Chapter 12. Shorthand Usage Guide
  779.    wt: 1:   Chapter 11. Why Shorthand
  780.    wt: 1:   Chapter 10 Describing and Changing Calculations
  781.    wt: 1:   Postscript What is a Variable
  782.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  783.    wt: 1:   Chapter 8 Three Skills For Algebra
  784.    wt: 1:   Chapter 6 Change of Language
  785.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  786.    wt: 1:   Chapter 3 Chains of Reason
  787.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  788.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  789.    wt: 1:   Foreword
  790.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  791.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  792.    wt: 1:   Postscript C Consistency as a Tool for Reason
  793.    wt: 1:   Postscript B More on Story Telling and Reason
  794.    wt: 1:   Postscript A Story Telling
  795.    wt: 1:   Chapter 24 Direct and Indirect Reason
  796.    wt: 1:   Chapter 23 Truth Tables
  797.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  798.    wt: 1:   Chapter 21 Occurrence Tables
  799.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  800.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  801.    wt: 1:   Chapter 18 Sense and Knowledge
  802.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  803.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  804.    wt: 1:   Chapter 15 Objective Processes
  805.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  806.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  807.    wt: 1:   Chapter 11 Accidental Patterns
  808.    wt: 1:   Chapter 10 Responsibility
  809.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  810.    wt: 1:   Chapter 8 Change of Language
  811.    wt: 1:   Chapter 6 Chains of Reason
  812.    wt: 1:   Chapter 5 Deception
  813.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  814.    wt: 1:   Chapter 2 Skill Development
  815.    wt: 1:   Chapter 1 Introduction
  816.    wt: 1:   Three Remarks
  817.    wt: 1:   Foreword
  818.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  819.    wt: 1:   M Words to extend arithmetic
  820.    wt: 1:   G. Written work formats for developing and showing skill
  821.    wt: 1:   D. Check work a must with a caution
  822.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  823.    wt: 1:   Chapter 8 Skipped Topics and Why
  824.    wt: 1:   Chapter 3 Algebra Starter Lessons
  825.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  826.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  827.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  828.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  829.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  830.    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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