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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78 matches:

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

Web Page Search

229 matches:

  1.    wt: 4:   chapitre 01 00 Introduction
  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:   Appendix 2 primary school Arithmetic 01
  6.    wt: 2:   8 analytic geometry etc
  7.    wt: 2:   Postscript 2007 01 10
  8.    wt: 2:   chapitre 07 01 principle D induction mathematique
  9.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  10.    wt: 2:   chapitre 06 00 Chaines de la raison
  11.    wt: 2:   chapitre 05 00 Deception
  12.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  13.    wt: 2:   chapitre 04 09 Regles accidentelles
  14.    wt: 2:   chapitre 04 08 Limitations et benefices
  15.    wt: 2:   chapitre 04 01 Premiere enigme
  16.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  17.    wt: 2:   chapitre 02 00 La Communication des idees
  18.    wt: 2:   problemes algebre et arithmetique
  19.    wt: 2:   1 Geometric Introduction of Function Notation
  20.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  21.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  22.    wt: 2:   Appetizer A Complex Number Applet
  23.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  24.    wt: 2:   3 Counting with Sets etc
  25.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  26.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  27.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  28.    wt: 1:   J LAMP Introduction Extrinsic Origins
  29.    wt: 1:   I LAMP Introduction Study Habits
  30.    wt: 1:   H LAMP Introduction Instructional Concepts
  31.    wt: 1:   G LAMP Introduction Problem Solving Skills
  32.    wt: 1:   F LAMP Introduction Prerequisites
  33.    wt: 1:   E LAMP Introduction Modern Mathematics
  34.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  35.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  36.    wt: 1:   A Introduction Objectives
  37.    wt: 1:   Ramblings Introduction Algebra Essay
  38.    wt: 1:   Skills Chapter 2 Geometry
  39.    wt: 1:   Skills Chapter 1 Arithmetic
  40.    wt: 1:   Skills Chapter 0 Introduction
  41.    wt: 1:   9 combinatorics probability sets
  42.    wt: 1:   6 polynomials etc
  43.    wt: 1:   5 logarithms and exponentials etc
  44.    wt: 1:   3 Euclidean Geometry Leanly
  45.    wt: 1:   2 arithmetic with signed numbers
  46.    wt: 1:   1 arithmetic with unsigned numbers
  47.    wt: 1:   three goals to set for students
  48.    wt: 1:   Applied Maths Program14092009 POMME variant
  49.    wt: 1:   how letters appear
  50.    wt: 1:   geometric implications for algebra
  51.    wt: 1:   How to be a better instructor
  52.    wt: 1:   chapitre 04 06 engagements
  53.    wt: 1:   chapitre 04 05 Implication versus suggestion
  54.    wt: 1:   chapitre 04 04 Parlons de la logique
  55.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  56.    wt: 1:   chapitre 04 02 Deuxieme enigme
  57.    wt: 1:   A Energy Power01
  58.    wt: 1:   1 Conductance Resistance Duality01
  59.    wt: 1:   C Wire Resistance Calculation01
  60.    wt: 1:   A Wire Resistance Qualitative01
  61.    wt: 1:   2 Unlike resistors in parallel01
  62.    wt: 1:   G Series Circuit01
  63.    wt: 1:   B Electromotive force conventional current01
  64.    wt: 1:   17 Math Booklets for children and young teenagers
  65.    wt: 1:   Ages 12 to 14 Geometry
  66.    wt: 1:   Ages 12 to 14 Arithmetic
  67.    wt: 1:   Ages 10 to 12 Geometry
  68.    wt: 1:   Ages 10 to 12 Arithmetic
  69.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  70.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  71.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  72.    wt: 1:   19 Horizontal line rule and method
  73.    wt: 1:   18 Vertical Line Rule and Method
  74.    wt: 1:   11 Function Domain Range Source and Targets
  75.    wt: 1:   9 Set theory term relation possible origins
  76.    wt: 1:   8 Set view of relations and functions
  77.    wt: 1:   6 Set Existence Formation and Notation
  78.    wt: 1:   5 Function notation for geometric transformations
  79.    wt: 1:   Introduction Reading Guide
  80.    wt: 1:   5 quadratics completing the square
  81.    wt: 1:   2 Column Multiplication Method
  82.    wt: 1:   1 Degrees and Radians Introduction
  83.    wt: 1:   11 Component Method
  84.    wt: 1:   10 Parallelogram Addition Method
  85.    wt: 1:   Vector and Complex Number Applet
  86.    wt: 1:   30 unit circle calculation of six trigonometric functions
  87.    wt: 1:   Unit Circle Development of Trigonometry
  88.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  89.    wt: 1:   8 Unit Circle Development of Trigonometry
  90.    wt: 1:   7 Trignometric Ratios Unit Circle
  91.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  92.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  93.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  94.    wt: 1:   3 Trigonometric Ratios sine and cosine
  95.    wt: 1:   Why Trigonometry the whyslopes view
  96.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  97.    wt: 1:   6 Geometric Diagrams in Class
  98.    wt: 1:   8 Distance Between Points on a Line
  99.    wt: 1:   7 Complex Numbers Appetizer
  100.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  101.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  102.    wt: 1:   PS B Parallelogram Construction Methods
  103.    wt: 1:   PS A Kite Construction Methods
  104.    wt: 1:   16 Angles Subtended By Chords and Diameters
  105.    wt: 1:   3 Isometry of Triangles Congruence
  106.    wt: 1:   2 Correspondence between Triangles
  107.    wt: 1:   Short Course on Euclidean Geometry
  108.    wt: 1:   A Modular and Remainder Arithmetic
  109.    wt: 1:   A Signed Number Arithmetic Review
  110.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  111.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  112.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  113.    wt: 1:   E Long Division Methods more
  114.    wt: 1:   D Long Division Methods
  115.    wt: 1:   C Three Decimal Subtraction Methods
  116.    wt: 1:   A Decimal Addition Columm Methods
  117.    wt: 1:   8 Column Multiplication Methods in General
  118.    wt: 1:   7 Decimals Multiplication Methods Examples
  119.    wt: 1:   6 Column Methods for Decimal Multiplication
  120.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  121.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  122.    wt: 1:   4 Changing Letters
  123.    wt: 1:   3 Geometric Formulas and Function Notation
  124.    wt: 1:   5 Algebraic Solutions Introduction
  125.    wt: 1:   Using Letters for Physical Quantities
  126.    wt: 1:   7 Compound Interest Formula Introduction
  127.    wt: 1:   9 Sets in Probability and Statistics
  128.    wt: 1:   8 Sets of Numbers
  129.    wt: 1:   7 Cautious or Safe Set Construction
  130.    wt: 1:   6 Power Set Notation
  131.    wt: 1:   4 Subset Builder Notation
  132.    wt: 1:   1 Finite Sets
  133.    wt: 1:   3 Adding Words To Arithmetic
  134.    wt: 1:   arithmetic videos Real Player Format
  135.    wt: 1:   1 Squares and Square Roots Introduction
  136.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  137.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  138.    wt: 1:   2 Least Common Multiple LCM intro via list method
  139.    wt: 1:   1 Least Common Multiples LCM Introduction
  140.    wt: 1:   12 GCD 2700 288 via Prime
  141.    wt: 1:   1 Counting and Counting Methods I
  142.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  143.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  144.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  145.    wt: 1:   23 Remainder Arithmetic Modulo 2
  146.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  147.    wt: 1:   21 Remainder Arithmetic Modulo 3
  148.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  149.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  150.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  151.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  152.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  153.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  154.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  155.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  156.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  157.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  158.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  159.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  160.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  161.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  162.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  163.    wt: 1:   5 Remainder Arithmetic Modulo 5
  164.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  165.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  166.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  167.    wt: 1:   1 Remainder Arithmetic Modulo 10
  168.    wt: 1:   4 video Prime Factorization Introduction
  169.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  170.    wt: 1:   D Decimal Multiplication Methods Derived
  171.    wt: 1:   A Elementary Basis for Multiplication Methods
  172.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  173.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  174.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  175.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  176.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  177.    wt: 1:   Exact Arithmetic Wholes and Fractions
  178.    wt: 1:   016 Numbering Occidental Calendar Days
  179.    wt: 1:   015 School and work day counting tables
  180.    wt: 1:   014 Counting Days with Calendars
  181.    wt: 1:   013 Travel Time Tables
  182.    wt: 1:   012 Division of Time Intervals by Time Intervals
  183.    wt: 1:   011 Division of Time Intervals By Numbers
  184.    wt: 1:   010 Repeated Addition of Time Intervals
  185.    wt: 1:   5 Conversion Arithmetic
  186.    wt: 1:   Example 1. Area Between x and x squared
  187.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  188.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  189.    wt: 1:   Area Between Curves Lesson Take 2
  190.    wt: 1:   Area Between Curves Lesson Take 1
  191.    wt: 1:   3 Two Chain Rule Method Exercises
  192.    wt: 1:   1 Chain Rule in Reverse Integration Method
  193.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  194.    wt: 1:   18 Chain Rule Introduction
  195.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  196.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  197.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  198.    wt: 1:   1 Numerical introduction
  199.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  200.    wt: 1:   A1. Introduction
  201.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  202.    wt: 1:   Chapter 23 Links To Trigonometry
  203.    wt: 1:   Chapter 8. Slope Interpretation
  204.    wt: 1:   Chapter 1.Introduction
  205.    wt: 1:   Fall 1983 Calculus Appetizer
  206.    wt: 1:   Postscript More on Better Performance
  207.    wt: 1:   Postscript For Better Performance
  208.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  209.    wt: 1:   Chapter 19. Functions and Sets
  210.    wt: 1:   Solutions For Arithmetic Exercises
  211.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  212.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  213.    wt: 1:   Chapter 7 Two Treatments of Geometry
  214.    wt: 1:   Chapter 1 Introduction
  215.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  216.    wt: 1:   Chapter 1 Introduction
  217.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  218.    wt: 1:   M Words to extend arithmetic
  219.    wt: 1:   Chapter 6 More Algebra and Geometry
  220.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  221.    wt: 1:   Chapter 2 Why Sets
  222.    wt: 1:   Chapter 1 Arithmetic
  223.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  224.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  225.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  226.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  227.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  228.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  229.    wt: 1:   Road Safety Questions

Extended Search

1143 matches:

  1.    wt: 9:   10 Division by Five Long and Short Ways
  2.    wt: 9:   6 Why Decimal Long Division Methods Works Take I
  3.    wt: 9:   1 Divsion Physical Examples
  4.    wt: 9:   D Decimal Multiplication Methods Derived
  5.    wt: 9:   A Elementary Basis for Multiplication Methods
  6.    wt: 9:   1 Why 3 times 5 gives 15
  7.    wt: 9:   Appendix 2 Three Decimal Subtraction Methods
  8.    wt: 9:   Appendix 1 Decimals Comparison Method Take II
  9.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  10.    wt: 9:   1 Comparison and Subtraction Easy Direct Cases
  11.    wt: 9:   8 What skills and work habits to require
  12.    wt: 9:   7 Adding decimal fractions using decimal point
  13.    wt: 9:   6. Counting and adding units and mixed units
  14.    wt: 9:   5. How to add decimals C. Examples
  15.    wt: 9:   4. How to add with decimals B with conversions
  16.    wt: 9:   3. How to add with decimals A sans conversions
  17.    wt: 9:   2 Decimal Counting Practices
  18.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  20.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  21.    wt: 8:   Appetizer A Complex Number Applet
  22.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  23.    wt: 8:   Short Course on Euclidean Geometry
  24.    wt: 8:   12 Why Long Division Works Take III
  25.    wt: 8:   11 Another Single Digit Divisor Example
  26.    wt: 8:   9 Why Long Division Works Take II
  27.    wt: 8:   8 Correcting the Mistake
  28.    wt: 8:   7 Long Divison Mistake Catching
  29.    wt: 8:   5 Long Division Include Zeroes or not
  30.    wt: 8:   4 Division with 2 Digit Divsors
  31.    wt: 8:   3 Division Single Digit Divisor Example
  32.    wt: 8:   2 Division with Single Digit Divisors
  33.    wt: 8:   C Counting Areas with Powers of Ten
  34.    wt: 8:   B Powers of Ten
  35.    wt: 8:   6 Multiplication Commutes Order Not Important
  36.    wt: 8:   4 Two and Three Digit Multipliers
  37.    wt: 8:   3 More One Digit Multipliers
  38.    wt: 8:   2 One Digit Multipliers
  39.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  40.    wt: 8:   Video Decimal Multiplication Geometric View Example 2
  41.    wt: 8:   9 22 Minute Subtraction Review Video
  42.    wt: 8:   8 Subtraction with Units of Measure
  43.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  44.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  45.    wt: 8:   5 A Tip for Efficent Subtraction
  46.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  47.    wt: 8:   2 Subtraction Easy Case Examples
  48.    wt: 7:   9 motivation for name arcsin
  49.    wt: 7:   8 arcsin left inverse of sine Graph
  50.    wt: 7:   7 arcsin left inverse of sine Definition
  51.    wt: 7:   6 Graph of arccos function
  52.    wt: 7:   5 Swapping Coordinates is a reflection
  53.    wt: 7:   4 possible motivation for term arccos
  54.    wt: 7:   3 Left Inverse of cosine arccos definition
  55.    wt: 7:   2 cosine function more properties
  56.    wt: 7:   1 cosine function properties
  57.    wt: 7:   10 Parallelogram Addition Method
  58.    wt: 7:   Vector and Complex Number Applet
  59.    wt: 7:   30 unit circle calculation of six trigonometric functions
  60.    wt: 7:   13 Graph of tangent function many periods
  61.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  62.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  63.    wt: 7:   Unit Circle Development of Trigonometry
  64.    wt: 7:   7 Trignometric Ratios Unit Circle
  65.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  66.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  67.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  68.    wt: 7:   3 Trigonometric Ratios sine and cosine
  69.    wt: 7:   1 Angle Measurement with Degrees
  70.    wt: 7:   Why Trigonometry the whyslopes view
  71.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  72.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  73.    wt: 7:   PS B Parallelogram Construction Methods
  74.    wt: 7:   PS A Kite Construction Methods
  75.    wt: 7:   16 Angles Subtended By Chords and Diameters
  76.    wt: 7:   10 Dropping a perpendicular to line
  77.    wt: 7:   3 Isometry of Triangles Congruence
  78.    wt: 7:   2 Correspondence between Triangles
  79.    wt: 7:   1 Initial Concepts and Terms
  80.    wt: 7:   A Measurement with Ruler Proper Use
  81.    wt: 7:   8 More Use of Maps Not Drawn to Scale
  82.    wt: 7:   6 Figuring with Maps Not to Scale
  83.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  84.    wt: 7:   4 Angles on Maps Plans drawn to scale
  85.    wt: 7:   3 Lengths and Areas on Maps and Plans
  86.    wt: 7:   2 Measuring Area Directly
  87.    wt: 7:   1 Length Measurement
  88.    wt: 7:   10 Set View of Wordy Extensions To Arithmetic
  89.    wt: 7:   9 Sets in Probability and Statistics
  90.    wt: 7:   7 Cautious or Safe Set Construction
  91.    wt: 7:   3 Counting with Sets etc
  92.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  93.    wt: 7:   5 Decimal Fraction Multiplication
  94.    wt: 7:   Video Power Notation in Decimal Expansion
  95.    wt: 7:   Subtraction with J Conversions Example
  96.    wt: 7:   Subtraction Another Video Lesson
  97.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  98.    wt: 7:   11 Place Value SI Standard International way
  99.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  100.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  101.    wt: 7:   016 Numbering Occidental Calendar Days
  102.    wt: 7:   015 School and work day counting tables
  103.    wt: 7:   014 Counting Days with Calendars
  104.    wt: 7:   013 Travel Time Tables
  105.    wt: 7:   012 Division of Time Intervals by Time Intervals
  106.    wt: 7:   011 Division of Time Intervals By Numbers
  107.    wt: 7:   010 Repeated Addition of Time Intervals
  108.    wt: 7:   5 Conversion Arithmetic
  109.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  110.    wt: 7:   1 Numerical introduction
  111.    wt: 6:   problemes algebre et arithmetique
  112.    wt: 6:   1 Geometric Introduction of Function Notation
  113.    wt: 6:   16 cotangent function Definition Graph and Inverse
  114.    wt: 6:   15 cosecant function Definition Graph and Inverse
  115.    wt: 6:   14 secant function Definition Graph and Inverse
  116.    wt: 6:   13 cosecant function Definition Graph and Inverse
  117.    wt: 6:   12 motivation for term arctan
  118.    wt: 6:   11 arctan left inverse of tangent Graph
  119.    wt: 6:   10 arctan left inverse of tangent Definition
  120.    wt: 6:   1 Degrees and Radians Introduction
  121.    wt: 6:   11 Component Method
  122.    wt: 6:   1 Unsigned Coordinates
  123.    wt: 6:   1 graphing y=f(x a)
  124.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  125.    wt: 6:   Straight Lines ASA Intersection Study More
  126.    wt: 6:   Straight Lines ASA Intersection Study
  127.    wt: 6:   Straight Lines Instersection Solving Equations
  128.    wt: 6:   Straight Lines Intersection of
  129.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  130.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  131.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  132.    wt: 6:   32 seven rows of pascals triangle
  133.    wt: 6:   31 basic secant cosecant cotangent trig identities
  134.    wt: 6:   29 secant cosecant and cotangent for acute angles
  135.    wt: 6:   28 Expressing products of sines cosines as sums
  136.    wt: 6:   27 Logarithmic use of products of sines and cosines
  137.    wt: 6:   26 Formulas for products of sines and cosines
  138.    wt: 6:   25 tangent double angle formula Slope connection
  139.    wt: 6:   24 tangent Angle Difference Formula
  140.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  141.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  142.    wt: 6:   21 sine and cosine Half Angle Formulas
  143.    wt: 6:   20 sine and cosine Double Angle Formulas
  144.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  145.    wt: 6:   18 sum of sinusoidal waves as a single wave
  146.    wt: 6:   16 Right Triangle Complementary Angle Relations
  147.    wt: 6:   15 sine cosine Complementary Angle Relations
  148.    wt: 6:   14 cosine even and sine and tangent are odd
  149.    wt: 6:   12 Graph of tangent function for one period
  150.    wt: 6:   11 tangent function undefined when terminal side vertical
  151.    wt: 6:   10 Graphs of sines and cosines many periods
  152.    wt: 6:   9 Graphs of sine and cosine over one period
  153.    wt: 6:   8 period of tangent function
  154.    wt: 6:   7 period of sine and cosine
  155.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  156.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  157.    wt: 6:   2 Quadrant I reference Angles
  158.    wt: 6:   1 Unit Points Reflections Rotations
  159.    wt: 6:   8 Unit Circle Development of Trigonometry
  160.    wt: 6:   1 Rectangular Polar Coordinates Review
  161.    wt: 6:   8 Triangles Cascade Problem Solving
  162.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  163.    wt: 6:   1 Numerical view of lines and their equations
  164.    wt: 6:   What is and is not here
  165.    wt: 6:   10 Pythagorean plane distance formula
  166.    wt: 6:   7 Complex Numbers Appetizer
  167.    wt: 6:   1 Cartesian Coordinates sans signs
  168.    wt: 6:   PS H Distributive Law For Complex Numbers
  169.    wt: 6:   PS G Rotation Distributes over Addition
  170.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  171.    wt: 6:   PS E Multiplication with Polar Coordinates
  172.    wt: 6:   PS D Addition with Cartesian Coordinates
  173.    wt: 6:   21 Parallelograms
  174.    wt: 6:   19 Right Triangle Similarity
  175.    wt: 6:   18 Triangle Similarity Take 1
  176.    wt: 6:   17 Right Bisectors of Triangle Sides
  177.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  178.    wt: 6:   14 Parallel Lines Postulate
  179.    wt: 6:   13 Angle Side Angle Failure
  180.    wt: 6:   12 Side Angle Side Failure
  181.    wt: 6:   11 Triangle Construction Fails
  182.    wt: 6:   9 Construction of a right bisector
  183.    wt: 6:   8 Isoceles Triangles
  184.    wt: 6:   7 Angle Side Angle
  185.    wt: 6:   6 Ruler and compass Angle Bisection
  186.    wt: 6:   5 Side Angle Side
  187.    wt: 6:   4 Side Side Side
  188.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  189.    wt: 6:   10 One Example
  190.    wt: 6:   8 Sets of Numbers
  191.    wt: 6:   6 Power Set Notation
  192.    wt: 6:   4 Subset Builder Notation
  193.    wt: 6:   2 Venn Diagrams
  194.    wt: 6:   1 Finite Sets
  195.    wt: 6:   1 More and Less Than for Counts and Measures
  196.    wt: 6:   11 What are real lengths and numbers
  197.    wt: 6:   10 dividing signed numbers
  198.    wt: 6:   7 negative and additive inverse
  199.    wt: 6:   6 adding signed numbers
  200.    wt: 6:   5 lengths and signs of numbers
  201.    wt: 6:   4 signed coordinates for regions in space
  202.    wt: 6:   7 Converting or Changing Units
  203.    wt: 6:   6 Simplification of Fractions with Units
  204.    wt: 6:   4 Fractions with Units
  205.    wt: 6:   3 Multiplying Units and Numbers
  206.    wt: 6:   2 Equality and Units
  207.    wt: 6:   1 Addition and Subtraction with Units
  208.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  209.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  210.    wt: 6:   1 Integers as Coordinates
  211.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  212.    wt: 6:   23 Remainder Arithmetic Modulo 2
  213.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  214.    wt: 6:   21 Remainder Arithmetic Modulo 3
  215.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  216.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  217.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  218.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  219.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  220.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  221.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  222.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  223.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  224.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  225.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  226.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  227.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  228.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  229.    wt: 6:   5 Remainder Arithmetic Modulo 5
  230.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  231.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  232.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  233.    wt: 6:   1 Remainder Arithmetic Modulo 10
  234.    wt: 6:   Long Division Backwards more
  235.    wt: 6:   Long Division Backward
  236.    wt: 6:   Division with Counts and Length
  237.    wt: 6:   Long Division forwards and backwards Example 3
  238.    wt: 6:   Long Division forwards and backwards Example 2
  239.    wt: 6:   Long Division forwards and backwards Example 1
  240.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  241.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  242.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  243.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  244.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  245.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  246.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  247.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  248.    wt: 6:   9 Comparison and Subtraction of Time Intervals
  249.    wt: 6:   8 Addition of Time Intervals via subtotaling
  250.    wt: 6:   7 Addition of Time Intervals
  251.    wt: 6:   4 Mixing and Changing Units of Time
  252.    wt: 6:   3 Units and Lengths of Time
  253.    wt: 6:   2 Time and Date Matters in School
  254.    wt: 6:   1 Intro of Kids To Time Date Skills
  255.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  256.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  257.    wt: 6:   11 Limits at infinity Three Examples
  258.    wt: 6:   10 Three one sided limits with infinite values
  259.    wt: 6:   9 Limits Continuity and Composition
  260.    wt: 5:   Appendix 2 primary school Arithmetic 01
  261.    wt: 5:   Skills Chapter 0 Introduction
  262.    wt: 5:   8 analytic geometry etc
  263.    wt: 5:   1 arithmetic with unsigned numbers
  264.    wt: 5:   1 Conductance Resistance Duality01
  265.    wt: 5:   19 Horizontal line rule and method
  266.    wt: 5:   18 Vertical Line Rule and Method
  267.    wt: 5:   11 Function Domain Range Source and Targets
  268.    wt: 5:   Introduction Reading Guide
  269.    wt: 5:   Quadratics in 10 steps
  270.    wt: 5:   9 Summary Degrees to Radians and back
  271.    wt: 5:   8 Radian Measures of Common Angles
  272.    wt: 5:   7 Radian Measures in special Triangles
  273.    wt: 5:   6 Radian Measure to Degrees
  274.    wt: 5:   5 Degrees to Radian Measure
  275.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  276.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  277.    wt: 5:   A Global Time and Navigation
  278.    wt: 5:   15 Dot and Cross Product
  279.    wt: 5:   13 Velocity Vectors in Physics
  280.    wt: 5:   12 From Applied To Pure Mathematics
  281.    wt: 5:   9 Head to Tail Coordinate View
  282.    wt: 5:   7 Coordinate Addition and Scalar Multiplication
  283.    wt: 5:   6 Vectors with Coordinates
  284.    wt: 5:   5 Head To Tail Arrow Addition
  285.    wt: 5:   4 Resultant of a Sum of Movements
  286.    wt: 5:   3 Navigation with Arrows or Vectors
  287.    wt: 5:   2 Signed Coordinates
  288.    wt: 5:   4 graphing y=Asin(x c)
  289.    wt: 5:   3 graphing y=f(x c) plus K
  290.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  291.    wt: 5:   Parallel Lines and Parallel Transversals
  292.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  293.    wt: 5:   Triangle Angles Sum To 180 Degrees
  294.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  295.    wt: 5:   Parallel Lines and Interior Angles
  296.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  297.    wt: 5:   C Straight Lines Slope from Coordinates
  298.    wt: 5:   B Straight Line Slope Scaling Properties More
  299.    wt: 5:   A Straight Line Slope Scaling Properties
  300.    wt: 5:   14 Straight Lines Equations General Case
  301.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  302.    wt: 5:   12 Straight Lines Graphing mx plus b
  303.    wt: 5:   11 Straight Lines Graphing y=mx
  304.    wt: 5:   10 Straight Lines through Origin Equations More
  305.    wt: 5:   9 Straight Lines through Origin Equations
  306.    wt: 5:   8 Straight Lines Equation for vertical
  307.    wt: 5:   7 Tangent Function is odd on this domain
  308.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  309.    wt: 5:   5 Tangent Function Graph
  310.    wt: 5:   4 Tangent Function Properties
  311.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  312.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  313.    wt: 5:   1 Straight Lines Slope Concept
  314.    wt: 5:   17 tangent function angle sum formulas
  315.    wt: 5:   17G Pythagorean Theorem Converse
  316.    wt: 5:   17F Law of cosines
  317.    wt: 5:   17E Trig Formulas for dot and cross Products
  318.    wt: 5:   17D cis formulas for sine cosines and tangent
  319.    wt: 5:   17C sine and cosine double triple angle formulas
  320.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  321.    wt: 5:   17A The complex number valued trig function cis
  322.    wt: 5:   19 N th Roots of Unity
  323.    wt: 5:   18 Sixth Roots of Unity
  324.    wt: 5:   17 Cube Roots of unity
  325.    wt: 5:   16 References and Originality Question
  326.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  327.    wt: 5:   6 Field Properties of Complex Number
  328.    wt: 5:   4 Multiplication Properties
  329.    wt: 5:   3 Addition Properties
  330.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  331.    wt: 5:   12 Triangles Similarity More Problems
  332.    wt: 5:   11 Triangle Similarity Missing Side Problem
  333.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  334.    wt: 5:   9 Similarity of Triangles Usual Criteria
  335.    wt: 5:   6 Geometric Diagrams in Class
  336.    wt: 5:   1 Early Concept of Like or Similar Shapes
  337.    wt: 5:   Four Simple Exercises
  338.    wt: 5:   12 Links Lessons elsewhere
  339.    wt: 5:   10 Midpoint of [a b] and [b a]
  340.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  341.    wt: 5:   8 Mid Point Formula
  342.    wt: 5:   7 Exercises to test skill and concept mastery
  343.    wt: 5:   6 Intersection of lines by solving linear systems
  344.    wt: 5:   5 Algebraic View of Slopes
  345.    wt: 5:   2 point slope equation for a line
  346.    wt: 5:   13 Pythagorean spatial distance formulas
  347.    wt: 5:   12 Spatial Coordinates
  348.    wt: 5:   11 Triangle Inequality
  349.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  350.    wt: 5:   8 Distance Between Points on a Line
  351.    wt: 5:   6 Polar Multiplication and Rotation
  352.    wt: 5:   5 Cartesian Addition and Translation
  353.    wt: 5:   4 Polar Coordinates to and from
  354.    wt: 5:   3 Rectangular Coordinates Review
  355.    wt: 5:   2 Cartesian Coordinates with signs
  356.    wt: 5:   About Folder Contents
  357.    wt: 5:   18 Geometrically Why Vector Addition Commutes
  358.    wt: 5:   E Long Division Methods more
  359.    wt: 5:   D Long Division Methods
  360.    wt: 5:   C Three Decimal Subtraction Methods
  361.    wt: 5:   A Decimal Addition Columm Methods
  362.    wt: 5:   8 Column Multiplication Methods in General
  363.    wt: 5:   7 Decimals Multiplication Methods Examples
  364.    wt: 5:   6 Column Methods for Decimal Multiplication
  365.    wt: 5:   1 The Counting Origins of Numbers
  366.    wt: 5:   1 GE Substitution four examples
  367.    wt: 5:   1 Essentially One Unknown
  368.    wt: 5:   5 Algebraic Solutions Introduction
  369.    wt: 5:   Skill Development Notes
  370.    wt: 5:   9 Three Examples
  371.    wt: 5:   8 One Example
  372.    wt: 5:   7 Two Examples
  373.    wt: 5:   6 Three Examples
  374.    wt: 5:   5 Three Examples
  375.    wt: 5:   4 Two Examples
  376.    wt: 5:   3 Two Examples
  377.    wt: 5:   2 Three Examples
  378.    wt: 5:   Using Letters for Physical Quantities
  379.    wt: 5:   7 Compound Interest Formula Introduction
  380.    wt: 5:   5 Product Builder Notation
  381.    wt: 5:   4 Greater More Less Than Signs in General
  382.    wt: 5:   3 Comparison of Negative Numbers
  383.    wt: 5:   2 More and Less Than with Unlike Signs
  384.    wt: 5:   1 Squares and Square Roots Introduction
  385.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  386.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  387.    wt: 5:   7 GCD and LCM from prime factorization
  388.    wt: 5:   6 GCD from Prime
  389.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  390.    wt: 5:   2 Least Common Multiple LCM intro via list method
  391.    wt: 5:   1 Least Common Multiples LCM Introduction
  392.    wt: 5:   12 GCD 2700 288 via Prime
  393.    wt: 5:   1 Counting and Counting Methods I
  394.    wt: 5:   9 subtracting signed numbers
  395.    wt: 5:   8 multiplying signed numbers
  396.    wt: 5:   3 signed coordinates for maps and planes
  397.    wt: 5:   2 signed and unsigned numbers as coordinates
  398.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  399.    wt: 5:   D Three Term Ratios
  400.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  401.    wt: 5:   B Fractions and Two Term Ratios
  402.    wt: 5:   17 Efficient Ways to Add and Subtract
  403.    wt: 5:   1 What is a fraction Take II
  404.    wt: 5:   1 What is a fraction
  405.    wt: 5:   B Integer Long Division Multiple Choices
  406.    wt: 5:   A Associative Law Theorectical Note
  407.    wt: 5:   12 Adding Integers More Examples
  408.    wt: 5:   11 Adding Integers Formulas and Examples
  409.    wt: 5:   10 Integer Multiplication Formulas
  410.    wt: 5:   9 Multiplying Integers
  411.    wt: 5:   8 Multiplication by Signed Numbers Integers
  412.    wt: 5:   7 Multiplication by Signs
  413.    wt: 5:   6 Multiplication by Natural Numbers
  414.    wt: 5:   5 Zero Movement and Additive Inverses
  415.    wt: 5:   4 Adding Movements wiht opposite directions
  416.    wt: 5:   3 Adding Movements with same direction
  417.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  418.    wt: 5:   20 Uniqueness of Prime Factorization
  419.    wt: 5:   17 Identify and Count Factors using Primes
  420.    wt: 5:   12 LCD GCD and LCM using Primes
  421.    wt: 5:   11 Efficient Square Rule Use
  422.    wt: 5:   10 video Prime Factorization upto 23 squared
  423.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  424.    wt: 5:   4 video Prime Factorization Introduction
  425.    wt: 5:   2 Prime and Composites less than 16
  426.    wt: 5:   1 video how Products are bigger than factor
  427.    wt: 5:   Exact Arithmetic Wholes and Fractions
  428.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  429.    wt: 5:   About folder contents
  430.    wt: 5:   6 How long is a million seconds
  431.    wt: 5:   Area Between Curves Lesson Take 2
  432.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  433.    wt: 5:   18 Chain Rule Introduction
  434.    wt: 5:   8 Four Animated Examples
  435.    wt: 5:   7 Evaluation by immediate or delayed substitution
  436.    wt: 5:   3 Decimal insights for limits continuity convergence
  437.    wt: 5:   2 Algebraic codification
  438.    wt: 5:   Chapter 1.Introduction
  439.    wt: 5:   Chapter 4 Logic for Reading Writing and Geometry etc
  440.    wt: 4:   J LAMP Introduction Extrinsic Origins
  441.    wt: 4:   I LAMP Introduction Study Habits
  442.    wt: 4:   H LAMP Introduction Instructional Concepts
  443.    wt: 4:   G LAMP Introduction Problem Solving Skills
  444.    wt: 4:   F LAMP Introduction Prerequisites
  445.    wt: 4:   E LAMP Introduction Modern Mathematics
  446.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  447.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  448.    wt: 4:   A Introduction Objectives
  449.    wt: 4:   Ramblings Introduction Algebra Essay
  450.    wt: 4:   Skills Chapter 2 Geometry
  451.    wt: 4:   Skills Chapter 1 Arithmetic
  452.    wt: 4:   10 statistics
  453.    wt: 4:   9 combinatorics probability sets
  454.    wt: 4:   6 polynomials etc
  455.    wt: 4:   5 logarithms and exponentials etc
  456.    wt: 4:   3 Euclidean Geometry Leanly
  457.    wt: 4:   2 arithmetic with signed numbers
  458.    wt: 4:   What is POMME
  459.    wt: 4:   Postscript 2007 01 10
  460.    wt: 4:   Four ways to improve education reform
  461.    wt: 4:   How to be a better instructor
  462.    wt: 4:   C Wire Resistance Calculation01
  463.    wt: 4:   A Wire Resistance Qualitative01
  464.    wt: 4:   2 Unlike resistors in parallel01
  465.    wt: 4:   1 Like resistors in series
  466.    wt: 4:   G Series Circuit01
  467.    wt: 4:   B Electromotive force conventional current01
  468.    wt: 4:   17 Math Booklets for children and young teenagers
  469.    wt: 4:   10 Ends values for work study instruction
  470.    wt: 4:   1 Speaking Skills
  471.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  472.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  473.    wt: 4:   17 Function maxima minima and their location
  474.    wt: 4:   16 Increasing or decreasing on intervals
  475.    wt: 4:   15 Sign analysis of functions
  476.    wt: 4:   14 Surjections Injections Bijections
  477.    wt: 4:   13 From one to one to many to one
  478.    wt: 4:   12 Function Domain Recognition Exercises
  479.    wt: 4:   10 Interval Notation
  480.    wt: 4:   9 Set theory term relation possible origins
  481.    wt: 4:   8 Set view of relations and functions
  482.    wt: 4:   6 Set Existence Formation and Notation
  483.    wt: 4:   5 Function notation for geometric transformations
  484.    wt: 4:   1 quadratics graphing exercises
  485.    wt: 4:   11 Growth and Decay in Biology
  486.    wt: 4:   1 Calculator Starter Exercises
  487.    wt: 4:   2 Radian Measure Numerical Value of one degree
  488.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  489.    wt: 4:   8 Parallel Vectors
  490.    wt: 4:   21 Logarithms Powers and Exponentials
  491.    wt: 4:   20 N th Roots of Complex Numbers
  492.    wt: 4:   15 Pythagorean Theorem Converse
  493.    wt: 4:   14 Law of cosines
  494.    wt: 4:   13 Trig Formulas for dot and cross Products
  495.    wt: 4:   12 cis formulas for sine cosines and tangent
  496.    wt: 4:   11 sine and cosine double triple angle formulas
  497.    wt: 4:   9 The complex number valued trig function cis
  498.    wt: 4:   7 Second Way to Calculate Products
  499.    wt: 4:   5 An Easy Proof of the Distributive Law
  500.    wt: 4:   2 Complex Numbers made easier we hope
  501.    wt: 4:   8 Similarity of Triangles and Polygons
  502.    wt: 4:   7 Translations Rotations Reflections Dilatations
  503.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  504.    wt: 4:   4 Similarity Definition with Coordinate
  505.    wt: 4:   3 Similarity by Design with coordinates
  506.    wt: 4:   2 Similarity By Design
  507.    wt: 4:   11 A Partial Summary
  508.    wt: 4:   4 Equations for lines three forms
  509.    wt: 4:   3 Slope product for perpendicular lines
  510.    wt: 4:   A Modular and Remainder Arithmetic
  511.    wt: 4:   A Signed Number Arithmetic Review
  512.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  513.    wt: 4:   19 Signed Multiples of Vectors
  514.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  515.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  516.    wt: 4:   15 Head to Tails in place Addition Associative
  517.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  518.    wt: 4:   13 Arrows and Vectors in a Plane
  519.    wt: 4:   12 Real Numbers Line Signed Coordinates
  520.    wt: 4:   11 Signed Number Addition and Addition Properties
  521.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  522.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  523.    wt: 4:   1 Fractions with Finite Decimal Expansions
  524.    wt: 4:   B Decimal Comparison and Subtraction
  525.    wt: 4:   5 Distributive Law for Whole Numbers
  526.    wt: 4:   4 Commutative Law Groups Counting Form
  527.    wt: 4:   3 Multiplicative Counting Skills Principles
  528.    wt: 4:   2 Combing Counts Addition Skills and Principles
  529.    wt: 4:   5 Areas of Rectangles Revisited
  530.    wt: 4:   4 Fraction Operations Axiomatic Development
  531.    wt: 4:   3 Inequalities Algebraically
  532.    wt: 4:   2 Fraction Operations Physical Development
  533.    wt: 4:   1 What is Proportionality
  534.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  535.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  536.    wt: 4:   6 Compound Interest Forward and Backwards
  537.    wt: 4:   3 Linear Equation Literal Solution More
  538.    wt: 4:   2 Linear Equation Literal Solution
  539.    wt: 4:   5 Greater More Less Than Signs in General
  540.    wt: 4:   4 Comparison of Negative Numbers
  541.    wt: 4:   3 More and Less Than with Unlike Signs
  542.    wt: 4:   2 More and Less Than for Counts and Measures
  543.    wt: 4:   12 Real Number Additive Inverses or Negatives
  544.    wt: 4:   10 Real Number Lengths and Signs
  545.    wt: 4:   5 Independent versus Dependent Variables
  546.    wt: 4:   4 Changing Letters
  547.    wt: 4:   3 Geometric Formulas and Function Notation
  548.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  549.    wt: 4:   4 GE III Animated Examples
  550.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  551.    wt: 4:   3 GE III Equation Addition and Multiplication
  552.    wt: 4:   2 GE II Comparison
  553.    wt: 4:   4 Solving a triangular system exercise
  554.    wt: 4:   3 Solving triangular system example
  555.    wt: 4:   2 Essentially one exercises three with solution
  556.    wt: 4:   6 Algebraic Solution Example
  557.    wt: 4:   4 Four Examples Fractional Coefficients
  558.    wt: 4:   3 Four Examples
  559.    wt: 4:   2 Three Examples
  560.    wt: 4:   1 Proper Equal Sign Usage
  561.    wt: 4:   13 Naming Identifying Formulas with Words
  562.    wt: 4:   11 Volume of Sphere
  563.    wt: 4:   10 Volume of Pyramid
  564.    wt: 4:   9 Volume of Cone
  565.    wt: 4:   8 Compound Interest Formula Evaluation
  566.    wt: 4:   3 Adding Words To Arithmetic
  567.    wt: 4:   arithmetic videos Real Player Format
  568.    wt: 4:   5 Square Roots with primes more still
  569.    wt: 4:   4 Square Roots with primes more
  570.    wt: 4:   3 Properties of Square Roots with example
  571.    wt: 4:   2 Square Roots with Prime
  572.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  573.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  574.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  575.    wt: 4:   13 GCD from given Prime Factorization
  576.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  577.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  578.    wt: 4:   8 GCD from Euclidean Algorithm
  579.    wt: 4:   5 Common Divisors 60 45 via Prime
  580.    wt: 4:   4 LCM of 8 and 10 via Prime
  581.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  582.    wt: 4:   4 Counting with Trees Product Rule Take I
  583.    wt: 4:   3 Counting with Tables and Trees II
  584.    wt: 4:   2 Counting with Tables and Trees I
  585.    wt: 4:   21 Working With Signs
  586.    wt: 4:   21 Reciprocals for Fractions and Wholes
  587.    wt: 4:   20 Dividing Fractions the Why
  588.    wt: 4:   19 Dividing Fractions How TO
  589.    wt: 4:   18 Efficient Ways to Multiply
  590.    wt: 4:   16 Addition Subtraction Comparision Compared
  591.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  592.    wt: 4:   14 Adding and Subtracting with Like Denominators
  593.    wt: 4:   13 Fraction Comparison Algebraic View
  594.    wt: 4:   12 Fraction Comparison
  595.    wt: 4:   11 Simplification an Algebraic View
  596.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  597.    wt: 4:   9 Improper Fractions and Mixed Numbers
  598.    wt: 4:   8 Numerals Fractionals Quantals Take II
  599.    wt: 4:   7 Numerals Fractionals Quantals
  600.    wt: 4:   6 Multiplication Algebraically Take II
  601.    wt: 4:   5 Equivalent Fractions
  602.    wt: 4:   4 Fraction Multiplication
  603.    wt: 4:   3 Unit fraction of a fraction
  604.    wt: 4:   2 Unit Fraction Multiplication
  605.    wt: 4:   D Remainders Modulo 11 Pair Rule
  606.    wt: 4:   13 Subtraction with Additive Inverse
  607.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  608.    wt: 4:   26 Divisibility by 2 3 5 Example
  609.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  610.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  611.    wt: 4:   19 video Prime Factorization Unique
  612.    wt: 4:   18 video Count Factors given Prime Factorization
  613.    wt: 4:   16 video Factors of 980 using prime
  614.    wt: 4:   15 video Factors of 20 using Prime Factorization
  615.    wt: 4:   14 video Factors of 24 Take II
  616.    wt: 4:   13 video Factors of 24 using prime
  617.    wt: 4:   9 video Prime Factorization upto 19 squared
  618.    wt: 4:   8 video Prime Factorization upto 19
  619.    wt: 4:   7 Calculator Usage Notes and Cautions
  620.    wt: 4:   5 Prime Factorization and a Square Rule
  621.    wt: 4:   3 video Primes and Composites from 9 times table
  622.    wt: 4:   Quick history of numbers and algebra
  623.    wt: 4:   The 20 Times Table
  624.    wt: 4:   The 12 Times Table Visually
  625.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  626.    wt: 4:   Area Between Curves Lesson Take 1
  627.    wt: 4:   Summary
  628.    wt: 4:   A Related Material in Volume 3
  629.    wt: 4:   5 Area Under Curve Exercise
  630.    wt: 4:   3 Two Chain Rule Method Exercises
  631.    wt: 4:   1 Chain Rule in Reverse Integration Method
  632.    wt: 4:   3 Second derivative test
  633.    wt: 4:   2 Second derivative test prequel
  634.    wt: 4:   36 Cube root derivative animated
  635.    wt: 4:   17 Derivatives of quotients of sine and cosine
  636.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  637.    wt: 4:   12 Quotient rule examples
  638.    wt: 4:   11 Quotient rule
  639.    wt: 4:   10 Power rule for negative integers
  640.    wt: 4:   3 Motivation for Limit Definition Take 2
  641.    wt: 4:   6 Continuity at a point
  642.    wt: 4:   5 Jumps and absence of unlimited error control
  643.    wt: 4:   4 Numerical properties
  644.    wt: 4:   A1. Introduction
  645.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  646.    wt: 4:   Fall 1983 Calculus Appetizer
  647.    wt: 4:   Chapter 1 Introduction
  648.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  649.    wt: 4:   M Words to extend arithmetic
  650.    wt: 4:   A. Skill has to be seen to believed
  651.    wt: 4:   How to Build Skills and Confidence
  652.    wt: 4:   Chapter 6 More Algebra and Geometry
  653.    wt: 4:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  654.    wt: 4:   Chapter 2 Why Sets
  655.    wt: 4:   Chapter 1 Arithmetic
  656.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  657.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  658.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  659.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  660.    wt: 3:   Appendix 1 primary and preschool mathematic
  661.    wt: 3:   K LAMP Musings Science Education
  662.    wt: 3:   Skills Chapter 5 Calculus
  663.    wt: 3:   Skills Chapter 4 Logic
  664.    wt: 3:   Ramblings Extrinsic numbers theory
  665.    wt: 3:   Skills Chapter 3 Algebra
  666.    wt: 3:   11 pure mathematics
  667.    wt: 3:   7 logic review and decimals an odd combination
  668.    wt: 3:   4 algebra
  669.    wt: 3:   which way to go
  670.    wt: 3:   website reviews
  671.    wt: 3:   three goals to set for students
  672.    wt: 3:   Applied Maths Program14092009 POMME variant
  673.    wt: 3:   activities for students
  674.    wt: 3:   links Education Resources online
  675.    wt: 3:   key notes and themes
  676.    wt: 3:   Mathematics Education Professors
  677.    wt: 3:   teacher certification
  678.    wt: 3:   what should be learnt and When
  679.    wt: 3:   five decades make a difference
  680.    wt: 3:   how letters appear
  681.    wt: 3:   Secondary Two Mathematics
  682.    wt: 3:   geometric implications for algebra
  683.    wt: 3:   05 13 OldSiteEntrancePage
  684.    wt: 3:   04 29 New Mathematics Curriculum
  685.    wt: 3:   04 25 when to stop or suspend mathemat
  686.    wt: 3:   02 21 words for teachers
  687.    wt: 3:   02 20 mathematics education references
  688.    wt: 3:   three aims for mathematics students
  689.    wt: 3:   cultivating intelligence
  690.    wt: 3:   Motivation and Context Problem
  691.    wt: 3:   need for a mixed mathematics curriculum
  692.    wt: 3:   Leaner mathematics curriculum
  693.    wt: 3:   Prequel In For A Penny In For A Pound
  694.    wt: 3:   education an empirical art
  695.    wt: 3:   fairness and inductive principles for instruction
  696.    wt: 3:   words for mathematics instructor
  697.    wt: 3:   liens
  698.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  699.    wt: 3:   problemes responses
  700.    wt: 3:   Trois Notions qui menent a algebre
  701.    wt: 3:   deux definitions pour variable
  702.    wt: 3:   logique deux enigme
  703.    wt: 3:   1 Energy Power Heat06
  704.    wt: 3:   A Energy Power01
  705.    wt: 3:   2 Conductance Resistance Duality02
  706.    wt: 3:   F Wire Resistance Calculation04
  707.    wt: 3:   E Wire Resistance Calculation03
  708.    wt: 3:   D Wire Resistance Calculation02
  709.    wt: 3:   B Wire Resistance Qualitative02
  710.    wt: 3:   3 Like resistors in parallel
  711.    wt: 3:   H Series Circuit02
  712.    wt: 3:   F Unlike Resistors in Series
  713.    wt: 3:   E Kirchoffs Second Law
  714.    wt: 3:   D Kirchoff First Law
  715.    wt: 3:   C Electromotive force conventional current02
  716.    wt: 3:   A Circuit Elements
  717.    wt: 3:   Home Tutoring and Home Schooling
  718.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  719.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  720.    wt: 3:   24 Standards For Skill Develoment Take II
  721.    wt: 3:   24 Standards For Skill Develoment
  722.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  723.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  724.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  725.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  726.    wt: 3:   22 Student Centered Highschool Mathematics
  727.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  728.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  729.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  730.    wt: 3:   18 Primary School Mathematics
  731.    wt: 3:   16 Secondary Mathematics Tips
  732.    wt: 3:   15 Counting For Parents
  733.    wt: 3:   14 Multiplication and Times Tables
  734.    wt: 3:   13 Addition and Addition Tables
  735.    wt: 3:   12 Goals and Objectives For Mathematics
  736.    wt: 3:   11 Help and Defend Your Child or Teens Education
  737.    wt: 3:   9 Streaming by Student Cooperation
  738.    wt: 3:   8 The Effect of Negative Remarks
  739.    wt: 3:   7 Student Motivation
  740.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  741.    wt: 3:   5 Patience Please for Yourself and Your Charges
  742.    wt: 3:   4 Learning Takes Time and Effort
  743.    wt: 3:   3 Preparing for Science Studies
  744.    wt: 3:   2 Reading and Writing Skills
  745.    wt: 3:   Ages 12 to 14 Geometry
  746.    wt: 3:   Ages 12 to 14 Arithmetic
  747.    wt: 3:   Ages 10 to 12 Geometry
  748.    wt: 3:   Ages 10 to 12 Arithmetic
  749.    wt: 3:   Ages 8 to 9
  750.    wt: 3:   Ages 7 to 8
  751.    wt: 3:   Ages 6 to 7
  752.    wt: 3:   Ages 4 plus to 5 plus
  753.    wt: 3:   Ages 3 plus to 4 plus
  754.    wt: 3:   sign monoticity analysis example 4
  755.    wt: 3:   sign monoticity analysis example 3
  756.    wt: 3:   sign monoticity analysis example 2
  757.    wt: 3:   sign monoticity analysis example 1
  758.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  759.    wt: 3:   20 Interchanging coordinates a reflection
  760.    wt: 3:   7 Functions with finite domains
  761.    wt: 3:   4 Function notation in and beyond mathematics
  762.    wt: 3:   3 Formula or function graphing exercise
  763.    wt: 3:   2 Algebraic use of function notation
  764.    wt: 3:   A Quadratics Summary
  765.    wt: 3:   10 quadratic exercises
  766.    wt: 3:   9 quadratics physical and further context
  767.    wt: 3:   8 quadratics backward use of various formulas
  768.    wt: 3:   6 quadratics numerical approach
  769.    wt: 3:   5 quadratics completing the square
  770.    wt: 3:   4 quadratics difference of two squares
  771.    wt: 3:   10 Exponential Growth and Decay Models
  772.    wt: 3:   5 Natural Logarithm Calculator Exercises
  773.    wt: 3:   2 Column Multiplication Method
  774.    wt: 3:   1 Polynomials Distributive Law
  775.    wt: 3:   Rewriting algebraic substitution as function substitutions
  776.    wt: 3:   26 More Less Greater Than Comparison
  777.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  778.    wt: 3:   23 Distributive Law Two Derivations
  779.    wt: 3:   22 Multiplication of Signed Numbers
  780.    wt: 3:   21 Addition of Multiples of a Single Vector
  781.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  782.    wt: 3:   9 Division with Digits after Decimal Point
  783.    wt: 3:   8 Division and Mulplication of Compound Fractions
  784.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  785.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  786.    wt: 3:   4 Location of Point in Decimal Addition
  787.    wt: 3:   3 Location of Point in Decimal Multiplication
  788.    wt: 3:   2 Counting Digits in Decimal Multiplication
  789.    wt: 3:   5 Proportionality in Equivalent Fractions
  790.    wt: 3:   4 Rates Ratios and Proporitionality
  791.    wt: 3:   3 Proportionality Examples
  792.    wt: 3:   2 Algebraic View
  793.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  794.    wt: 3:   5 Triangle Area Formula Backwards
  795.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  796.    wt: 3:   1 Changing Calculations
  797.    wt: 3:   6 Equations and Systems Equivalent or Implied
  798.    wt: 3:   5 Equality in Algebra
  799.    wt: 3:   4 Subtraction and Division Axioms
  800.    wt: 3:   3 Product Axioms Two Forms
  801.    wt: 3:   2 Addition and Multiplication Axioms
  802.    wt: 3:   1 Equivalent Computation Rules
  803.    wt: 3:   1 Real Numbers Comparison
  804.    wt: 3:   16 Real Numbers Comparison
  805.    wt: 3:   15 Real Number Division
  806.    wt: 3:   14 Real Number Multiplication
  807.    wt: 3:   13 Real Number Subtraction
  808.    wt: 3:   11 Real Number Addition
  809.    wt: 3:   9 Coordinates for Regions in Space
  810.    wt: 3:   5 Rational Numbers More
  811.    wt: 3:   4 Rational Numbers
  812.    wt: 3:   3 Fractions
  813.    wt: 3:   2 Integers
  814.    wt: 3:   1 Whole and Natural Numbers
  815.    wt: 3:   2 Computation Rules Evaluation
  816.    wt: 3:   1 Formulas Dependence and Function Notation
  817.    wt: 3:   More Exercises
  818.    wt: 3:   Formula Usage Show Work Format
  819.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  820.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  821.    wt: 3:   5 Box Volume Formula Example
  822.    wt: 3:   4 Circle Area Formula Example
  823.    wt: 3:   3 Triangle Area Formula Example
  824.    wt: 3:   2 Another Rectangle Area Formula Example
  825.    wt: 3:   1 Written work formats for developing and showing skill
  826.    wt: 3:   6 Three Notions of What is a Variable
  827.    wt: 3:   4 A Brief Story of numbers and algebra
  828.    wt: 3:   2 What is a Variable
  829.    wt: 3:   About Folder Contents
  830.    wt: 3:   22 Complex Compound Fractions
  831.    wt: 3:   6 Multiplication of Mixed Numbers
  832.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  833.    wt: 3:   Formula Evaluation how to show work
  834.    wt: 3:   Expression Evaluation how to show work
  835.    wt: 3:   Volume of Solid by Cross Sections Lesson
  836.    wt: 3:   Example 1. Area Between x and x squared
  837.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  838.    wt: 3:   Example 1
  839.    wt: 3:   4 Definite Integrals Evaluation Exercises
  840.    wt: 3:   2 Indefinite Integrals Exercises
  841.    wt: 3:   A Related lessons in Volume 3
  842.    wt: 3:   4 Second derivative test exercise example
  843.    wt: 3:   A Chain Rule Real Player video examples
  844.    wt: 3:   33 Chain Rule Real Player video examples
  845.    wt: 3:   30Chain Rule A Proof
  846.    wt: 3:   29 Chain Rule Optional Reading
  847.    wt: 3:   28 Chain Rule Preparation for a Proof
  848.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  849.    wt: 3:   25 Chain Rule Animated Examples Continued
  850.    wt: 3:   24 Chain Rule Animated Examples
  851.    wt: 3:   20 Chain Rule for Pulley Systems
  852.    wt: 3:   19 Chain Rule for linear functions
  853.    wt: 3:   15 sine and cosine derivatives 3rd step
  854.    wt: 3:   14 sine and cosine derivatives 2nd step
  855.    wt: 3:   13 sine and cosine derivatives 1st step
  856.    wt: 3:   9 Reciprocal rule
  857.    wt: 3:   7 Animated Differentiation Examples
  858.    wt: 3:   6 Power rule from product rule
  859.    wt: 3:   5 Product Rule
  860.    wt: 3:   2 Motivation for Limit Definition Take 1
  861.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  862.    wt: 3:   Chapter 23 Links To Trigonometry
  863.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  864.    wt: 3:   Chapter 10 Slopes and Units
  865.    wt: 3:   Chapter 8. Slope Interpretation
  866.    wt: 3:   Foreword
  867.    wt: 3:   Postscript More on Better Performance
  868.    wt: 3:   Postscript For Better Performance
  869.    wt: 3:   Chapter 19. Functions and Sets
  870.    wt: 3:   Solutions For Arithmetic Exercises
  871.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  872.    wt: 3:   Foreword
  873.    wt: 3:   Chapter 1 Introduction
  874.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  875.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  876.    wt: 3:   Chapter 10 Responsibility
  877.    wt: 3:   Three Remarks
  878.    wt: 3:   Foreword
  879.    wt: 3:   S Adding words to algebra
  880.    wt: 3:   R Why Learn Mathematics Skills
  881.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  882.    wt: 3:   O On Learning Mathematics and Science
  883.    wt: 3:   N Mathematics Prepare for College Studies
  884.    wt: 3:   L Skills with take home value
  885.    wt: 3:   J. More on written work and showing skill
  886.    wt: 3:   I. Logic and language skills
  887.    wt: 3:   H Jigsaw puzzles and problem solving
  888.    wt: 3:   F. The student teacher tutor feedback loop
  889.    wt: 3:   E. When and how to correct errors
  890.    wt: 3:   D. Check work a must with a caution
  891.    wt: 3:   C. Domino effect of being careful
  892.    wt: 3:   B. Domino effect of errors
  893.    wt: 3:   Chapter 8 Skipped Topics and Why
  894.    wt: 3:   Chapter 3 Algebra Starter Lessons
  895.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  896.    wt: 3:   7 Games and Activities for Instruction
  897.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  898.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  899.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  900.    wt: 3:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  901.    wt: 3:   Road Safety Questions
  902.    wt: 2:   why bother
  903.    wt: 2:   Teach the teachers plus goals
  904.    wt: 2:   permissions for teachers
  905.    wt: 2:   Math Ed if it must be short make it lean effective
  906.    wt: 2:   site origins
  907.    wt: 2:   site eurekas
  908.    wt: 2:   About site lesson plans
  909.    wt: 2:   modern education
  910.    wt: 2:   learning takes time
  911.    wt: 2:   grouping students according to ability
  912.    wt: 2:   mathematics in context
  913.    wt: 2:   Education Reform Inconsistencies
  914.    wt: 2:   Maps Plans Drawings
  915.    wt: 2:   Secondary Three Mathematics
  916.    wt: 2:   Secondary One Mathematics
  917.    wt: 2:   talk the algebra talk
  918.    wt: 2:   three difficulties
  919.    wt: 2:   teaching tips
  920.    wt: 2:   What to Tell Students
  921.    wt: 2:   mathematics curriculum shifts
  922.    wt: 2:   teaching tutoring algebraic reason
  923.    wt: 2:   Lessening Algebra Difficulties
  924.    wt: 2:   the trouble with algebra
  925.    wt: 2:   three goals for Mathematics Education
  926.    wt: 2:   standards for course material
  927.    wt: 2:   Operational Viewpoint to Value
  928.    wt: 2:   formal or informal peer review
  929.    wt: 2:   Theory of Knowledge
  930.    wt: 2:   mathematics instruction in general
  931.    wt: 2:   Education in mathematics science and technology
  932.    wt: 2:   Different Kinds of Reasoning in maths
  933.    wt: 2:   three kinds of reason in mathematics
  934.    wt: 2:   4 Energy Power Heat09
  935.    wt: 2:   3 Energy Power Heat08
  936.    wt: 2:   2 Energy Power Heat07
  937.    wt: 2:   E Energy Power05
  938.    wt: 2:   D Energy Power04
  939.    wt: 2:   C Energy Power03
  940.    wt: 2:   B Energy Power02
  941.    wt: 2:   Ages 12 to 14 Skills with take home value
  942.    wt: 2:   Ages 9 to 10
  943.    wt: 2:   26 Function definitions done and coming
  944.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  945.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  946.    wt: 2:   23 Inverse Functions
  947.    wt: 2:   22 Square Root function graphically
  948.    wt: 2:   7 quadratic formulla derivation
  949.    wt: 2:   3 quadratics factoring by inspection
  950.    wt: 2:   2 quadratics graphing in general
  951.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  952.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  953.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  954.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  955.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  956.    wt: 2:   2 Square Root Simplification a prequel
  957.    wt: 2:   8 Notes for instructors or tutors
  958.    wt: 2:   7 Links Lessons Elsewhere
  959.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  960.    wt: 2:   4 Polynomials Long division linear divisor
  961.    wt: 2:   3 Polynomials Multiplication Addition
  962.    wt: 2:   musings do not puiblish real numbers
  963.    wt: 2:   8 Coordinates for Maps and Planes
  964.    wt: 2:   7 Real Numbers as Line Cordinates
  965.    wt: 2:   6 Unsigned Real Numbers
  966.    wt: 2:   Simple Exercises
  967.    wt: 2:   5 Talking about Numbers and Quantities
  968.    wt: 2:   1 Three Skills For Algebra
  969.    wt: 2:   Example 2 volume of a cone
  970.    wt: 2:   Example 1 volume of a pyramid
  971.    wt: 2:   Example 4 with x function of y
  972.    wt: 2:   Example 3
  973.    wt: 2:   Example 2
  974.    wt: 2:   38 Formulas and derivatives for powers and roots
  975.    wt: 2:   34 Derivative of exponential function
  976.    wt: 2:   31 Derivatives of inverse functions
  977.    wt: 2:   26 Chain Rule Recognising outer inner functions
  978.    wt: 2:   23 Chain Rule in general
  979.    wt: 2:   22 Chain Rule for polynomials
  980.    wt: 2:   21 Chain Rule for powers
  981.    wt: 2:   8 Differentiation of polynomials
  982.    wt: 2:   4 Sum Rule
  983.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  984.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  985.    wt: 2:   PostScript For and Against Decimal Perspectives
  986.    wt: 2:   Chapter 13. Acceleration
  987.    wt: 2:   Chapter 12. Units and Slopes
  988.    wt: 2:   Chapter 11. Graphing Slope versus Position
  989.    wt: 2:   Chapter 9 About First Courses in Calculus
  990.    wt: 2:   Chapter 7 Slopes and Velocity
  991.    wt: 2:   Chapter 5. Slope Sign Tests
  992.    wt: 2:   Chapter 3. Slope Sign Analysis
  993.    wt: 2:   Appendix E. How To Study Mathematics and Why
  994.    wt: 2:   Appendix D. What to do in School and Why
  995.    wt: 2:   Appendix C. How to Read
  996.    wt: 2:   Appendix B. How To Learn
  997.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  998.    wt: 2:   Chapter 31 Direct and Indirect Reason
  999.    wt: 2:   Chapter 30 Truth Tables
  1000.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  1001.    wt: 2:   Chapter 28 Occurrence Tables
  1002.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  1003.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  1004.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  1005.    wt: 2:   Chapter 21. Third Reading Guide
  1006.    wt: 2:   Chapter 18. Rules for Algebra
  1007.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  1008.    wt: 2:   Chapter 16. Painless Theorem Proving
  1009.    wt: 2:   Chapter 15. Solving Linear Equations
  1010.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  1011.    wt: 2:   Chapter 13. Second Reading Guide
  1012.    wt: 2:   Chapter 12. Shorthand Usage Guide
  1013.    wt: 2:   Chapter 11. Why Shorthand
  1014.    wt: 2:   Chapter 10 Describing and Changing Calculations
  1015.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  1016.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  1017.    wt: 2:   Chapter 6 Change of Language
  1018.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  1019.    wt: 2:   Chapter 4 Longer Chains of Reason
  1020.    wt: 2:   Chapter 3 Chains of Reason
  1021.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  1022.    wt: 2:   Chapter 10 Transition
  1023.    wt: 2:   Chapter 7 Two Treatments of Geometry
  1024.    wt: 2:   Foreword
  1025.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  1026.    wt: 2:   Postscript C Consistency as a Tool for Reason
  1027.    wt: 2:   Postscript B More on Story Telling and Reason
  1028.    wt: 2:   Postscript A Story Telling
  1029.    wt: 2:   Chapter 24 Direct and Indirect Reason
  1030.    wt: 2:   Chapter 23 Truth Tables
  1031.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  1032.    wt: 2:   Chapter 21 Occurrence Tables
  1033.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  1034.    wt: 2:   Chapter 18 Sense and Knowledge
  1035.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  1036.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  1037.    wt: 2:   Chapter 15 Objective Processes
  1038.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  1039.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  1040.    wt: 2:   Chapter 11 Accidental Patterns
  1041.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  1042.    wt: 2:   Chapter 8 Change of Language
  1043.    wt: 2:   Chapter 7 Longer Chains of Reason
  1044.    wt: 2:   Chapter 6 Chains of Reason
  1045.    wt: 2:   Chapter 5 Deception
  1046.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  1047.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  1048.    wt: 2:   Chapter 2 Skill Development
  1049.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  1050.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  1051.    wt: 2:   N Improving Marks on Tests and Finals
  1052.    wt: 2:   H more Routine to non routine problem solving
  1053.    wt: 2:   G. Written work formats for developing and showing skill
  1054.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  1055.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  1056.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1057.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1058.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1059.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1060.    wt: 2:   Which Way To Go
  1061.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  1062.    wt: 2:   The Math Forum and Site Content
  1063.    wt: 2:   Site Reviews
  1064.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  1065.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  1066.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  1067.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1068.    wt: 1:   G.5 Motions With Bounded Velocities
  1069.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  1070.    wt: 1:   G.3 Constant Difference Theorem Proof
  1071.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  1072.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1073.    wt: 1:   F.5b Extreme Value Theorem
  1074.    wt: 1:   F.5a Equicontinuity Theorems
  1075.    wt: 1:   F.4 Finite Covering Theorem
  1076.    wt: 1:   F.3 Intermediate Value Theorem
  1077.    wt: 1:   F.2 Closed Range Theorem
  1078.    wt: 1:   F.1 What Functions are Continuous
  1079.    wt: 1:   E2 Algebraic Properties of Limits
  1080.    wt: 1:   E1 Error Control Inequalities
  1081.    wt: 1:   D2 Limits of Monotone Sequences
  1082.    wt: 1:   C Triangle Inequalities
  1083.    wt: 1:   B3 Bolzano Weierstrass Theorem
  1084.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  1085.    wt: 1:   Chapter 22 Complex Numbers
  1086.    wt: 1:   Chapter 21 Arrow Addition
  1087.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  1088.    wt: 1:   Chapter 18. Slopes Areas Integration
  1089.    wt: 1:   Chapter 17. Area Approximation
  1090.    wt: 1:   Chapter 16. Velocity Approximation
  1091.    wt: 1:   Chapter 15. Slope Approximation
  1092.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  1093.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  1094.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  1095.    wt: 1:   Chapter 4. More Slope Sign Analysis
  1096.    wt: 1:   Chapter 2. Slopes and Ski Trails
  1097.    wt: 1:   Chapter 25. Mathematical Induction Examples
  1098.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  1099.    wt: 1:   Chapter 23. Notation For Sums
  1100.    wt: 1:   Chapter 20. Degrees and Radians
  1101.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  1102.    wt: 1:   Postscript What is a Variable
  1103.    wt: 1:   Chapter 8 Three Skills For Algebra
  1104.    wt: 1:   Annotated Links to Material Elsehwere
  1105.    wt: 1:   Postscript B Mathematics Education References
  1106.    wt: 1:   Postscript A Three Remarks
  1107.    wt: 1:   Chapter 12 Four Phases
  1108.    wt: 1:   Chapter 11 Elementary Instruction
  1109.    wt: 1:   Chapter 9 The Two Ends
  1110.    wt: 1:   Chapter 8 Modern Instruction
  1111.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1112.    wt: 1:   Chapter 5 Four References
  1113.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1114.    wt: 1:   Chapter 3 Algebra Difficulties
  1115.    wt: 1:   Chapter 2 For and Against Mathematics
  1116.    wt: 1:   Helping the Blind in Logic and Mathematics
  1117.    wt: 1:   Mathematics Education References
  1118.    wt: 1:   Mathematics Education References
  1119.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1120.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  1121.    wt: 1:   Implementation Notes
  1122.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1123.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1124.    wt: 13:   chapitre 01 00 Introduction
  1125.    wt: 12:   chapitre 12 00 les iles et division
  1126.    wt: 12:   chapitre 04 07 RepetablesEtReproductibles
  1127.    wt: 12:   chapitre 04 00 Les regles d implication
  1128.    wt: 11:   chapitre 07 01 principle D induction mathematique
  1129.    wt: 11:   chapitre 07 00 Des chaines plus longues de la raison
  1130.    wt: 11:   chapitre 06 00 Chaines de la raison
  1131.    wt: 11:   chapitre 05 00 Deception
  1132.    wt: 11:   chapitre 04 10 Etapes pour une meilleur raison
  1133.    wt: 11:   chapitre 04 09 Regles accidentelles
  1134.    wt: 11:   chapitre 04 08 Limitations et benefices
  1135.    wt: 11:   chapitre 04 01 Premiere enigme
  1136.    wt: 11:   chapitre 03 A Propos Des Prochains Chapitre
  1137.    wt: 11:   chapitre 02 00 La Communication des idees
  1138.    wt: 10:   chapitre 04 06 engagements
  1139.    wt: 10:   chapitre 04 05 Implication versus suggestion
  1140.    wt: 10:   chapitre 04 04 Parlons de la logique
  1141.    wt: 10:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  1142.    wt: 10:   chapitre 04 02 Deuxieme enigme
  1143.    wt: 10:   1. Explaining Addition Table
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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