Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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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40 matches:

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

Web Page Search

173 matches:

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

Extended Search

644 matches:

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

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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