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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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

Web Page Search

192 matches:

  1.    wt: 5:   chapitre 04 09 Regles accidentelles
  2.    wt: 4:   chapitre 04 07 RepetablesEtReproductibles
  3.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  4.    wt: 3:   chapitre 04 08 Limitations et benefices
  5.    wt: 3:   chapitre 04 04 Parlons de la logique
  6.    wt: 3:   chapitre 04 00 Les regles d implication
  7.    wt: 2:   8 analytic geometry etc
  8.    wt: 2:   Applied Maths Program14092009 POMME variant
  9.    wt: 2:   chapitre 12 00 les iles et division
  10.    wt: 2:   chapitre 04 06 engagements
  11.    wt: 2:   chapitre 04 05 Implication versus suggestion
  12.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  13.    wt: 2:   chapitre 04 02 Deuxieme enigme
  14.    wt: 2:   chapitre 04 01 Premiere enigme
  15.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  16.    wt: 2:   problemes algebre et arithmetique
  17.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  18.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  19.    wt: 2:   Appetizer A Complex Number Applet
  20.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  21.    wt: 2:   3 Counting with Sets etc
  22.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  23.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  24.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  25.    wt: 1:   Appendix 2 primary school Arithmetic 01
  26.    wt: 1:   Skills Chapter 2 Geometry
  27.    wt: 1:   Skills Chapter 1 Arithmetic
  28.    wt: 1:   9 combinatorics probability sets
  29.    wt: 1:   6 polynomials etc
  30.    wt: 1:   5 logarithms and exponentials etc
  31.    wt: 1:   3 Euclidean Geometry Leanly
  32.    wt: 1:   2 arithmetic with signed numbers
  33.    wt: 1:   1 arithmetic with unsigned numbers
  34.    wt: 1:   three goals to set for students
  35.    wt: 1:   how letters appear
  36.    wt: 1:   geometric implications for algebra
  37.    wt: 1:   04 29 New Mathematics Curriculum
  38.    wt: 1:   04 25 when to stop or suspend mathemat
  39.    wt: 1:   How to be a better instructor
  40.    wt: 1:   chapitre 07 01 principle D induction mathematique
  41.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  42.    wt: 1:   chapitre 06 00 Chaines de la raison
  43.    wt: 1:   chapitre 05 00 Deception
  44.    wt: 1:   chapitre 02 00 La Communication des idees
  45.    wt: 1:   chapitre 01 00 Introduction
  46.    wt: 1:   4 Energy Power Heat09
  47.    wt: 1:   D Energy Power04
  48.    wt: 1:   F Wire Resistance Calculation04
  49.    wt: 1:   17 Math Booklets for children and young teenagers
  50.    wt: 1:   Ages 12 to 14 Geometry
  51.    wt: 1:   Ages 12 to 14 Arithmetic
  52.    wt: 1:   Ages 10 to 12 Geometry
  53.    wt: 1:   Ages 10 to 12 Arithmetic
  54.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  55.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  56.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  57.    wt: 1:   19 Horizontal line rule and method
  58.    wt: 1:   18 Vertical Line Rule and Method
  59.    wt: 1:   11 Function Domain Range Source and Targets
  60.    wt: 1:   9 Set theory term relation possible origins
  61.    wt: 1:   8 Set view of relations and functions
  62.    wt: 1:   6 Set Existence Formation and Notation
  63.    wt: 1:   5 Function notation for geometric transformations
  64.    wt: 1:   1 Geometric Introduction of Function Notation
  65.    wt: 1:   5 quadratics completing the square
  66.    wt: 1:   2 Column Multiplication Method
  67.    wt: 1:   11 Component Method
  68.    wt: 1:   10 Parallelogram Addition Method
  69.    wt: 1:   Vector and Complex Number Applet
  70.    wt: 1:   30 unit circle calculation of six trigonometric functions
  71.    wt: 1:   Unit Circle Development of Trigonometry
  72.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  73.    wt: 1:   8 Unit Circle Development of Trigonometry
  74.    wt: 1:   7 Trignometric Ratios Unit Circle
  75.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  76.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  77.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  78.    wt: 1:   3 Trigonometric Ratios sine and cosine
  79.    wt: 1:   Why Trigonometry the whyslopes view
  80.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  81.    wt: 1:   6 Geometric Diagrams in Class
  82.    wt: 1:   8 Distance Between Points on a Line
  83.    wt: 1:   7 Complex Numbers Appetizer
  84.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  85.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  86.    wt: 1:   PS B Parallelogram Construction Methods
  87.    wt: 1:   PS A Kite Construction Methods
  88.    wt: 1:   16 Angles Subtended By Chords and Diameters
  89.    wt: 1:   3 Isometry of Triangles Congruence
  90.    wt: 1:   2 Correspondence between Triangles
  91.    wt: 1:   Short Course on Euclidean Geometry
  92.    wt: 1:   A Modular and Remainder Arithmetic
  93.    wt: 1:   A Signed Number Arithmetic Review
  94.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  95.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  96.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  97.    wt: 1:   E Long Division Methods more
  98.    wt: 1:   D Long Division Methods
  99.    wt: 1:   C Three Decimal Subtraction Methods
  100.    wt: 1:   A Decimal Addition Columm Methods
  101.    wt: 1:   8 Column Multiplication Methods in General
  102.    wt: 1:   7 Decimals Multiplication Methods Examples
  103.    wt: 1:   6 Column Methods for Decimal Multiplication
  104.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  105.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 1:   4 Changing Letters
  107.    wt: 1:   3 Geometric Formulas and Function Notation
  108.    wt: 1:   Using Letters for Physical Quantities
  109.    wt: 1:   9 Sets in Probability and Statistics
  110.    wt: 1:   8 Sets of Numbers
  111.    wt: 1:   7 Cautious or Safe Set Construction
  112.    wt: 1:   6 Power Set Notation
  113.    wt: 1:   4 Subset Builder Notation
  114.    wt: 1:   1 Finite Sets
  115.    wt: 1:   3 Adding Words To Arithmetic
  116.    wt: 1:   arithmetic videos Real Player Format
  117.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  118.    wt: 1:   2 Least Common Multiple LCM intro via list method
  119.    wt: 1:   1 Counting and Counting Methods I
  120.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  121.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  122.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  123.    wt: 1:   23 Remainder Arithmetic Modulo 2
  124.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  125.    wt: 1:   21 Remainder Arithmetic Modulo 3
  126.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  127.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  128.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  129.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  130.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  131.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  132.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  133.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  134.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  135.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  136.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  137.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  138.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  139.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  140.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  141.    wt: 1:   5 Remainder Arithmetic Modulo 5
  142.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  143.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  144.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  145.    wt: 1:   1 Remainder Arithmetic Modulo 10
  146.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  147.    wt: 1:   D Decimal Multiplication Methods Derived
  148.    wt: 1:   A Elementary Basis for Multiplication Methods
  149.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  150.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  151.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  152.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  153.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  154.    wt: 1:   Exact Arithmetic Wholes and Fractions
  155.    wt: 1:   5 Conversion Arithmetic
  156.    wt: 1:   Example 1. Area Between x and x squared
  157.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  158.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  159.    wt: 1:   Area Between Curves Lesson Take 2
  160.    wt: 1:   Area Between Curves Lesson Take 1
  161.    wt: 1:   3 Two Chain Rule Method Exercises
  162.    wt: 1:   1 Chain Rule in Reverse Integration Method
  163.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  164.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  165.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  166.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  167.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  168.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  169.    wt: 1:   Chapter 23 Links To Trigonometry
  170.    wt: 1:   Chapter 8. Slope Interpretation
  171.    wt: 1:   Fall 1983 Calculus Appetizer
  172.    wt: 1:   Postscript More on Better Performance
  173.    wt: 1:   Postscript For Better Performance
  174.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  175.    wt: 1:   Chapter 19. Functions and Sets
  176.    wt: 1:   Solutions For Arithmetic Exercises
  177.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  178.    wt: 1:   Chapter 7 Two Treatments of Geometry
  179.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  180.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  181.    wt: 1:   M Words to extend arithmetic
  182.    wt: 1:   Chapter 6 More Algebra and Geometry
  183.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  184.    wt: 1:   Chapter 2 Why Sets
  185.    wt: 1:   Chapter 1 Arithmetic
  186.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  187.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  188.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  189.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  190.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  191.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  192.    wt: 1:   Road Safety Questions

Extended Search

807 matches:

  1.    wt: 9:   chapitre 04 07 RepetablesEtReproductibles
  2.    wt: 8:   chapitre 04 10 Etapes pour une meilleur raison
  3.    wt: 8:   chapitre 04 08 Limitations et benefices
  4.    wt: 8:   chapitre 04 04 Parlons de la logique
  5.    wt: 8:   chapitre 04 00 Les regles d implication
  6.    wt: 7:   chapitre 12 00 les iles et division
  7.    wt: 7:   chapitre 04 06 engagements
  8.    wt: 7:   chapitre 04 05 Implication versus suggestion
  9.    wt: 7:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  10.    wt: 7:   chapitre 04 02 Deuxieme enigme
  11.    wt: 7:   chapitre 04 01 Premiere enigme
  12.    wt: 7:   chapitre 03 A Propos Des Prochains Chapitre
  13.    wt: 6:   chapitre 07 01 principle D induction mathematique
  14.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  15.    wt: 6:   chapitre 06 00 Chaines de la raison
  16.    wt: 6:   chapitre 05 00 Deception
  17.    wt: 6:   chapitre 02 00 La Communication des idees
  18.    wt: 6:   chapitre 01 00 Introduction
  19.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  20.    wt: 6:   4 Equations for lines three forms
  21.    wt: 6:   23 Remainder Arithmetic Modulo 2
  22.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  23.    wt: 6:   21 Remainder Arithmetic Modulo 3
  24.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  25.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  26.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  27.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  28.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  29.    wt: 6:   9 Why Long Division Works Take II
  30.    wt: 6:   4 Division with 2 Digit Divsors
  31.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  32.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  33.    wt: 5:   9 Straight Lines through Origin Equations
  34.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  35.    wt: 5:   9 Construction of a right bisector
  36.    wt: 5:   4 Side Side Side
  37.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  38.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  39.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  40.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  41.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  42.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  43.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  44.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  45.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  46.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  47.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  48.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  49.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  50.    wt: 5:   5 Remainder Arithmetic Modulo 5
  51.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  52.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  53.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  54.    wt: 5:   1 Remainder Arithmetic Modulo 10
  55.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  56.    wt: 5:   4 Two and Three Digit Multipliers
  57.    wt: 5:   9 22 Minute Subtraction Review Video
  58.    wt: 4:   9 Set theory term relation possible origins
  59.    wt: 4:   9 Head to Tail Coordinate View
  60.    wt: 4:   4 Resultant of a Sum of Movements
  61.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  62.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  63.    wt: 4:   C Straight Lines Slope from Coordinates
  64.    wt: 4:   B Straight Line Slope Scaling Properties More
  65.    wt: 4:   A Straight Line Slope Scaling Properties
  66.    wt: 4:   14 Straight Lines Equations General Case
  67.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  68.    wt: 4:   12 Straight Lines Graphing mx plus b
  69.    wt: 4:   11 Straight Lines Graphing y=mx
  70.    wt: 4:   10 Straight Lines through Origin Equations More
  71.    wt: 4:   8 Straight Lines Equation for vertical
  72.    wt: 4:   7 Tangent Function is odd on this domain
  73.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  74.    wt: 4:   5 Tangent Function Graph
  75.    wt: 4:   4 Tangent Function Properties
  76.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  77.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  78.    wt: 4:   1 Straight Lines Slope Concept
  79.    wt: 4:   30 unit circle calculation of six trigonometric functions
  80.    wt: 4:   12 Graph of tangent function for one period
  81.    wt: 4:   7 period of sine and cosine
  82.    wt: 4:   2 Quadrant I reference Angles
  83.    wt: 4:   1 Unit Points Reflections Rotations
  84.    wt: 4:   Unit Circle Development of Trigonometry
  85.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  86.    wt: 4:   9 The complex number valued trig function cis
  87.    wt: 4:   4 Multiplication Properties
  88.    wt: 4:   Appetizer A Complex Number Applet
  89.    wt: 4:   7 Trignometric Ratios Unit Circle
  90.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  91.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  92.    wt: 4:   3 Trigonometric Ratios sine and cosine
  93.    wt: 4:   Why Trigonometry the whyslopes view
  94.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  95.    wt: 4:   9 Similarity of Triangles Usual Criteria
  96.    wt: 4:   Four Simple Exercises
  97.    wt: 4:   12 Links Lessons elsewhere
  98.    wt: 4:   11 A Partial Summary
  99.    wt: 4:   10 Midpoint of [a b] and [b a]
  100.    wt: 4:   8 Mid Point Formula
  101.    wt: 4:   7 Exercises to test skill and concept mastery
  102.    wt: 4:   6 Intersection of lines by solving linear systems
  103.    wt: 4:   5 Algebraic View of Slopes
  104.    wt: 4:   3 Slope product for perpendicular lines
  105.    wt: 4:   2 point slope equation for a line
  106.    wt: 4:   1 Numerical view of lines and their equations
  107.    wt: 4:   What is and is not here
  108.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  109.    wt: 4:   4 Polar Coordinates to and from
  110.    wt: 4:   Euclidean Geometry Elsewhere LINKS
  111.    wt: 4:   PS C Similarity Use Recognize it in Trigonometry
  112.    wt: 4:   PS B Parallelogram Construction Methods
  113.    wt: 4:   PS A Kite Construction Methods
  114.    wt: 4:   16 Angles Subtended By Chords and Diameters
  115.    wt: 4:   3 Isometry of Triangles Congruence
  116.    wt: 4:   2 Correspondence between Triangles
  117.    wt: 4:   Short Course on Euclidean Geometry
  118.    wt: 4:   1 Counting and Counting Methods I
  119.    wt: 4:   9 subtracting signed numbers
  120.    wt: 4:   4 signed coordinates for regions in space
  121.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  122.    wt: 4:   26 Divisibility by 2 3 5 Example
  123.    wt: 4:   Long Division Backwards more
  124.    wt: 4:   Long Division Backward
  125.    wt: 4:   Division with Counts and Length
  126.    wt: 4:   Long Division forwards and backwards Example 3
  127.    wt: 4:   Long Division forwards and backwards Example 2
  128.    wt: 4:   Long Division forwards and backwards Example 1
  129.    wt: 4:   12 Why Long Division Works Take III
  130.    wt: 4:   11 Another Single Digit Divisor Example
  131.    wt: 4:   10 Division by Five Long and Short Ways
  132.    wt: 4:   8 Correcting the Mistake
  133.    wt: 4:   7 Long Divison Mistake Catching
  134.    wt: 4:   5 Long Division Include Zeroes or not
  135.    wt: 4:   3 Division Single Digit Divisor Example
  136.    wt: 4:   2 Division with Single Digit Divisors
  137.    wt: 4:   1 Divsion Physical Examples
  138.    wt: 4:   D Decimal Multiplication Methods Derived
  139.    wt: 4:   C Counting Areas with Powers of Ten
  140.    wt: 4:   A Elementary Basis for Multiplication Methods
  141.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  142.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  143.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  144.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  145.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  146.    wt: 4:   4. How to add with decimals B with conversions
  147.    wt: 4:   Chapter 4 Logic for Reading Writing and Geometry etc
  148.    wt: 3:   problemes algebre et arithmetique
  149.    wt: 3:   4 Function notation in and beyond mathematics
  150.    wt: 3:   16 cotangent function Definition Graph and Inverse
  151.    wt: 3:   15 cosecant function Definition Graph and Inverse
  152.    wt: 3:   14 secant function Definition Graph and Inverse
  153.    wt: 3:   13 cosecant function Definition Graph and Inverse
  154.    wt: 3:   12 motivation for term arctan
  155.    wt: 3:   11 arctan left inverse of tangent Graph
  156.    wt: 3:   10 arctan left inverse of tangent Definition
  157.    wt: 3:   9 motivation for name arcsin
  158.    wt: 3:   8 arcsin left inverse of sine Graph
  159.    wt: 3:   7 arcsin left inverse of sine Definition
  160.    wt: 3:   6 Graph of arccos function
  161.    wt: 3:   5 Swapping Coordinates is a reflection
  162.    wt: 3:   4 possible motivation for term arccos
  163.    wt: 3:   3 Left Inverse of cosine arccos definition
  164.    wt: 3:   2 cosine function more properties
  165.    wt: 3:   1 cosine function properties
  166.    wt: 3:   9 Summary Degrees to Radians and back
  167.    wt: 3:   8 Radian Measures of Common Angles
  168.    wt: 3:   7 Radian Measures in special Triangles
  169.    wt: 3:   6 Radian Measure to Degrees
  170.    wt: 3:   5 Degrees to Radian Measure
  171.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  172.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  173.    wt: 3:   2 Radian Measure Numerical Value of one degree
  174.    wt: 3:   11 Component Method
  175.    wt: 3:   10 Parallelogram Addition Method
  176.    wt: 3:   5 Head To Tail Arrow Addition
  177.    wt: 3:   Vector and Complex Number Applet
  178.    wt: 3:   4 graphing y=Asin(x c)
  179.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  180.    wt: 3:   Straight Lines ASA Intersection Study More
  181.    wt: 3:   Straight Lines ASA Intersection Study
  182.    wt: 3:   Straight Lines Instersection Solving Equations
  183.    wt: 3:   17 tangent function angle sum formulas
  184.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  185.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  186.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  187.    wt: 3:   32 seven rows of pascals triangle
  188.    wt: 3:   31 basic secant cosecant cotangent trig identities
  189.    wt: 3:   29 secant cosecant and cotangent for acute angles
  190.    wt: 3:   28 Expressing products of sines cosines as sums
  191.    wt: 3:   27 Logarithmic use of products of sines and cosines
  192.    wt: 3:   26 Formulas for products of sines and cosines
  193.    wt: 3:   25 tangent double angle formula Slope connection
  194.    wt: 3:   24 tangent Angle Difference Formula
  195.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  196.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  197.    wt: 3:   21 sine and cosine Half Angle Formulas
  198.    wt: 3:   20 sine and cosine Double Angle Formulas
  199.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  200.    wt: 3:   18 sum of sinusoidal waves as a single wave
  201.    wt: 3:   17G Pythagorean Theorem Converse
  202.    wt: 3:   17F Law of cosines
  203.    wt: 3:   17E Trig Formulas for dot and cross Products
  204.    wt: 3:   17D cis formulas for sine cosines and tangent
  205.    wt: 3:   17C sine and cosine double triple angle formulas
  206.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  207.    wt: 3:   17A The complex number valued trig function cis
  208.    wt: 3:   16 Right Triangle Complementary Angle Relations
  209.    wt: 3:   15 sine cosine Complementary Angle Relations
  210.    wt: 3:   14 cosine even and sine and tangent are odd
  211.    wt: 3:   13 Graph of tangent function many periods
  212.    wt: 3:   11 tangent function undefined when terminal side vertical
  213.    wt: 3:   10 Graphs of sines and cosines many periods
  214.    wt: 3:   9 Graphs of sine and cosine over one period
  215.    wt: 3:   8 period of tangent function
  216.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  217.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  218.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  219.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  220.    wt: 3:   8 Unit Circle Development of Trigonometry
  221.    wt: 3:   8 Triangles Cascade Problem Solving
  222.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  223.    wt: 3:   1 Angle Measurement with Degrees
  224.    wt: 3:   6 Geometric Diagrams in Class
  225.    wt: 3:   4 Similarity Definition with Coordinate
  226.    wt: 3:   1 Early Concept of Like or Similar Shapes
  227.    wt: 3:   8 Distance Between Points on a Line
  228.    wt: 3:   7 Complex Numbers Appetizer
  229.    wt: 3:   PS H Distributive Law For Complex Numbers
  230.    wt: 3:   PS G Rotation Distributes over Addition
  231.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  232.    wt: 3:   PS E Multiplication with Polar Coordinates
  233.    wt: 3:   PS D Addition with Cartesian Coordinates
  234.    wt: 3:   21 Parallelograms
  235.    wt: 3:   19 Right Triangle Similarity
  236.    wt: 3:   18 Triangle Similarity Take 1
  237.    wt: 3:   17 Right Bisectors of Triangle Sides
  238.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  239.    wt: 3:   14 Parallel Lines Postulate
  240.    wt: 3:   13 Angle Side Angle Failure
  241.    wt: 3:   12 Side Angle Side Failure
  242.    wt: 3:   11 Triangle Construction Fails
  243.    wt: 3:   10 Dropping a perpendicular to line
  244.    wt: 3:   8 Isoceles Triangles
  245.    wt: 3:   7 Angle Side Angle
  246.    wt: 3:   6 Ruler and compass Angle Bisection
  247.    wt: 3:   5 Side Angle Side
  248.    wt: 3:   1 Initial Concepts and Terms
  249.    wt: 3:   4 Angles on Maps Plans drawn to scale
  250.    wt: 3:   E Long Division Methods more
  251.    wt: 3:   D Long Division Methods
  252.    wt: 3:   C Three Decimal Subtraction Methods
  253.    wt: 3:   A Decimal Addition Columm Methods
  254.    wt: 3:   4 Commutative Law Groups Counting Form
  255.    wt: 3:   4 Rates Ratios and Proporitionality
  256.    wt: 3:   4 Changing Letters
  257.    wt: 3:   4 GE III Animated Examples
  258.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  259.    wt: 3:   9 Sets in Probability and Statistics
  260.    wt: 3:   4 Subset Builder Notation
  261.    wt: 3:   3 Counting with Sets etc
  262.    wt: 3:   4 Greater More Less Than Signs in General
  263.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  264.    wt: 3:   4 Counting with Trees Product Rule Take I
  265.    wt: 3:   3 Counting with Tables and Trees II
  266.    wt: 3:   2 Counting with Tables and Trees I
  267.    wt: 3:   9 Multiplying Integers
  268.    wt: 3:   4 Adding Movements wiht opposite directions
  269.    wt: 3:   9 video Prime Factorization upto 19 squared
  270.    wt: 3:   4 video Prime Factorization Introduction
  271.    wt: 3:   B Powers of Ten
  272.    wt: 3:   6 Multiplication Commutes Order Not Important
  273.    wt: 3:   5 Decimal Fraction Multiplication
  274.    wt: 3:   3 More One Digit Multipliers
  275.    wt: 3:   2 One Digit Multipliers
  276.    wt: 3:   Video Power Notation in Decimal Expansion
  277.    wt: 3:   1 Why 3 times 5 gives 15
  278.    wt: 3:   Subtraction with J Conversions Example
  279.    wt: 3:   Subtraction Another Video Lesson
  280.    wt: 3:   8 Subtraction with Units of Measure
  281.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  282.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  283.    wt: 3:   5 A Tip for Efficent Subtraction
  284.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  285.    wt: 3:   2 Subtraction Easy Case Examples
  286.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  287.    wt: 3:   8 What skills and work habits to require
  288.    wt: 3:   7 Adding decimal fractions using decimal point
  289.    wt: 3:   6. Counting and adding units and mixed units
  290.    wt: 3:   5. How to add decimals C. Examples
  291.    wt: 3:   3. How to add with decimals A sans conversions
  292.    wt: 3:   2 Decimal Counting Practices
  293.    wt: 3:   1. Explaining Addition Table
  294.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  295.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  296.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  297.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  298.    wt: 2:   9 combinatorics probability sets
  299.    wt: 2:   8 analytic geometry etc
  300.    wt: 2:   Applied Maths Program14092009 POMME variant
  301.    wt: 2:   geometric implications for algebra
  302.    wt: 2:   How to be a better instructor
  303.    wt: 2:   4 Energy Power Heat09
  304.    wt: 2:   9 Streaming by Student Cooperation
  305.    wt: 2:   4 Learning Takes Time and Effort
  306.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  307.    wt: 2:   19 Horizontal line rule and method
  308.    wt: 2:   18 Vertical Line Rule and Method
  309.    wt: 2:   11 Function Domain Range Source and Targets
  310.    wt: 2:   8 Set view of relations and functions
  311.    wt: 2:   6 Set Existence Formation and Notation
  312.    wt: 2:   5 Function notation for geometric transformations
  313.    wt: 2:   1 Geometric Introduction of Function Notation
  314.    wt: 2:   9 quadratics physical and further context
  315.    wt: 2:   5 quadratics completing the square
  316.    wt: 2:   4 quadratics difference of two squares
  317.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  318.    wt: 2:   1 Degrees and Radians Introduction
  319.    wt: 2:   A Global Time and Navigation
  320.    wt: 2:   15 Dot and Cross Product
  321.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  322.    wt: 2:   13 Velocity Vectors in Physics
  323.    wt: 2:   12 From Applied To Pure Mathematics
  324.    wt: 2:   8 Parallel Vectors
  325.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  326.    wt: 2:   6 Vectors with Coordinates
  327.    wt: 2:   3 Navigation with Arrows or Vectors
  328.    wt: 2:   2 Signed Coordinates
  329.    wt: 2:   1 Unsigned Coordinates
  330.    wt: 2:   3 graphing y=f(x c) plus K
  331.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  332.    wt: 2:   1 graphing y=f(x a)
  333.    wt: 2:   Parallel Lines and Parallel Transversals
  334.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  335.    wt: 2:   Triangle Angles Sum To 180 Degrees
  336.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  337.    wt: 2:   Parallel Lines and Interior Angles
  338.    wt: 2:   Straight Lines Intersection of
  339.    wt: 2:   21 Logarithms Powers and Exponentials
  340.    wt: 2:   20 N th Roots of Complex Numbers
  341.    wt: 2:   19 N th Roots of Unity
  342.    wt: 2:   18 Sixth Roots of Unity
  343.    wt: 2:   17 Cube Roots of unity
  344.    wt: 2:   16 References and Originality Question
  345.    wt: 2:   15 Pythagorean Theorem Converse
  346.    wt: 2:   14 Law of cosines
  347.    wt: 2:   13 Trig Formulas for dot and cross Products
  348.    wt: 2:   12 cis formulas for sine cosines and tangent
  349.    wt: 2:   11 sine and cosine double triple angle formulas
  350.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  351.    wt: 2:   7 Second Way to Calculate Products
  352.    wt: 2:   6 Field Properties of Complex Number
  353.    wt: 2:   5 An Easy Proof of the Distributive Law
  354.    wt: 2:   3 Addition Properties
  355.    wt: 2:   2 Complex Numbers made easier we hope
  356.    wt: 2:   1 Rectangular Polar Coordinates Review
  357.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  358.    wt: 2:   12 Triangles Similarity More Problems
  359.    wt: 2:   11 Triangle Similarity Missing Side Problem
  360.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  361.    wt: 2:   8 Similarity of Triangles and Polygons
  362.    wt: 2:   7 Translations Rotations Reflections Dilatations
  363.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  364.    wt: 2:   3 Similarity by Design with coordinates
  365.    wt: 2:   2 Similarity By Design
  366.    wt: 2:   13 Pythagorean spatial distance formulas
  367.    wt: 2:   12 Spatial Coordinates
  368.    wt: 2:   11 Triangle Inequality
  369.    wt: 2:   10 Pythagorean plane distance formula
  370.    wt: 2:   6 Polar Multiplication and Rotation
  371.    wt: 2:   5 Cartesian Addition and Translation
  372.    wt: 2:   3 Rectangular Coordinates Review
  373.    wt: 2:   2 Cartesian Coordinates with signs
  374.    wt: 2:   1 Cartesian Coordinates sans signs
  375.    wt: 2:   A Measurement with Ruler Proper Use
  376.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  377.    wt: 2:   6 Figuring with Maps Not to Scale
  378.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  379.    wt: 2:   3 Lengths and Areas on Maps and Plans
  380.    wt: 2:   2 Measuring Area Directly
  381.    wt: 2:   1 Length Measurement
  382.    wt: 2:   About Folder Contents
  383.    wt: 2:   A Signed Number Arithmetic Review
  384.    wt: 2:   B Decimal Comparison and Subtraction
  385.    wt: 2:   8 Column Multiplication Methods in General
  386.    wt: 2:   7 Decimals Multiplication Methods Examples
  387.    wt: 2:   6 Column Methods for Decimal Multiplication
  388.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  389.    wt: 2:   3 Geometric Formulas and Function Notation
  390.    wt: 2:   4 Solving a triangular system exercise
  391.    wt: 2:   4 Four Examples Fractional Coefficients
  392.    wt: 2:   9 Three Examples
  393.    wt: 2:   4 Two Examples
  394.    wt: 2:   8 Sets of Numbers
  395.    wt: 2:   7 Cautious or Safe Set Construction
  396.    wt: 2:   6 Power Set Notation
  397.    wt: 2:   1 Finite Sets
  398.    wt: 2:   arithmetic videos Real Player Format
  399.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  400.    wt: 2:   4 LCM of 8 and 10 via Prime
  401.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  402.    wt: 2:   2 Least Common Multiple LCM intro via list method
  403.    wt: 2:   11 What are real lengths and numbers
  404.    wt: 2:   10 dividing signed numbers
  405.    wt: 2:   8 multiplying signed numbers
  406.    wt: 2:   7 negative and additive inverse
  407.    wt: 2:   6 adding signed numbers
  408.    wt: 2:   5 lengths and signs of numbers
  409.    wt: 2:   3 signed coordinates for maps and planes
  410.    wt: 2:   2 signed and unsigned numbers as coordinates
  411.    wt: 2:   7 Converting or Changing Units
  412.    wt: 2:   6 Simplification of Fractions with Units
  413.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  414.    wt: 2:   4 Fractions with Units
  415.    wt: 2:   3 Multiplying Units and Numbers
  416.    wt: 2:   2 Equality and Units
  417.    wt: 2:   1 Addition and Subtraction with Units
  418.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  419.    wt: 2:   16 Addition Subtraction Comparision Compared
  420.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  421.    wt: 2:   4 Fraction Multiplication
  422.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  423.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  424.    wt: 2:   Exact Arithmetic Wholes and Fractions
  425.    wt: 2:   The 12 Times Table Visually
  426.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  427.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  428.    wt: 2:   Area Between Curves Lesson Take 2
  429.    wt: 2:   A Related Material in Volume 3
  430.    wt: 2:   4 Definite Integrals Evaluation Exercises
  431.    wt: 2:   3 Two Chain Rule Method Exercises
  432.    wt: 2:   2 Indefinite Integrals Exercises
  433.    wt: 2:   1 Chain Rule in Reverse Integration Method
  434.    wt: 2:   4 Second derivative test exercise example
  435.    wt: 2:   3 Second derivative test
  436.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  437.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  438.    wt: 2:   Chapter 23 Links To Trigonometry
  439.    wt: 2:   Chapter 9 About First Courses in Calculus
  440.    wt: 2:   Chapter 8. Slope Interpretation
  441.    wt: 2:   Chapter 4. More Slope Sign Analysis
  442.    wt: 2:   Fall 1983 Calculus Appetizer
  443.    wt: 2:   Postscript More on Better Performance
  444.    wt: 2:   Postscript For Better Performance
  445.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  446.    wt: 2:   Chapter 19. Functions and Sets
  447.    wt: 2:   Postscript What is a Variable
  448.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  449.    wt: 2:   Solutions For Arithmetic Exercises
  450.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  451.    wt: 2:   Chapter 4 Longer Chains of Reason
  452.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  453.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  454.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  455.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  456.    wt: 2:   M Words to extend arithmetic
  457.    wt: 2:   I. Logic and language skills
  458.    wt: 2:   D. Check work a must with a caution
  459.    wt: 2:   Chapter 6 More Algebra and Geometry
  460.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  461.    wt: 2:   Chapter 2 Why Sets
  462.    wt: 2:   Chapter 1 Arithmetic
  463.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  464.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  465.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  466.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  467.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  468.    wt: 1:   Appendix 2 primary school Arithmetic 01
  469.    wt: 1:   Skills Chapter 2 Geometry
  470.    wt: 1:   Skills Chapter 1 Arithmetic
  471.    wt: 1:   6 polynomials etc
  472.    wt: 1:   5 logarithms and exponentials etc
  473.    wt: 1:   4 algebra
  474.    wt: 1:   3 Euclidean Geometry Leanly
  475.    wt: 1:   2 arithmetic with signed numbers
  476.    wt: 1:   1 arithmetic with unsigned numbers
  477.    wt: 1:   three goals to set for students
  478.    wt: 1:   Teach the teachers plus goals
  479.    wt: 1:   site eurekas
  480.    wt: 1:   mathematics in context
  481.    wt: 1:   how letters appear
  482.    wt: 1:   Secondary One Mathematics
  483.    wt: 1:   04 29 New Mathematics Curriculum
  484.    wt: 1:   04 25 when to stop or suspend mathemat
  485.    wt: 1:   Education in mathematics science and technology
  486.    wt: 1:   Leaner mathematics curriculum
  487.    wt: 1:   liens
  488.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  489.    wt: 1:   problemes responses
  490.    wt: 1:   Trois Notions qui menent a algebre
  491.    wt: 1:   deux definitions pour variable
  492.    wt: 1:   logique deux enigme
  493.    wt: 1:   D Energy Power04
  494.    wt: 1:   F Wire Resistance Calculation04
  495.    wt: 1:   H Series Circuit02
  496.    wt: 1:   C Electromotive force conventional current02
  497.    wt: 1:   17 Math Booklets for children and young teenagers
  498.    wt: 1:   Ages 12 to 14 Geometry
  499.    wt: 1:   Ages 12 to 14 Arithmetic
  500.    wt: 1:   Ages 10 to 12 Geometry
  501.    wt: 1:   Ages 10 to 12 Arithmetic
  502.    wt: 1:   Ages 9 to 10
  503.    wt: 1:   Ages 4 plus to 5 plus
  504.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  505.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  506.    wt: 1:   26 Function definitions done and coming
  507.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  508.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  509.    wt: 1:   23 Inverse Functions
  510.    wt: 1:   22 Square Root function graphically
  511.    wt: 1:   20 Interchanging coordinates a reflection
  512.    wt: 1:   17 Function maxima minima and their location
  513.    wt: 1:   16 Increasing or decreasing on intervals
  514.    wt: 1:   15 Sign analysis of functions
  515.    wt: 1:   14 Surjections Injections Bijections
  516.    wt: 1:   13 From one to one to many to one
  517.    wt: 1:   12 Function Domain Recognition Exercises
  518.    wt: 1:   10 Interval Notation
  519.    wt: 1:   7 Functions with finite domains
  520.    wt: 1:   3 Formula or function graphing exercise
  521.    wt: 1:   2 Algebraic use of function notation
  522.    wt: 1:   Introduction Reading Guide
  523.    wt: 1:   A Quadratics Summary
  524.    wt: 1:   10 quadratic exercises
  525.    wt: 1:   8 quadratics backward use of various formulas
  526.    wt: 1:   7 quadratic formulla derivation
  527.    wt: 1:   6 quadratics numerical approach
  528.    wt: 1:   3 quadratics factoring by inspection
  529.    wt: 1:   2 quadratics graphing in general
  530.    wt: 1:   1 quadratics graphing exercises
  531.    wt: 1:   Quadratics in 10 steps
  532.    wt: 1:   4 Polynomials Long division linear divisor
  533.    wt: 1:   2 Column Multiplication Method
  534.    wt: 1:   A Modular and Remainder Arithmetic
  535.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  536.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  537.    wt: 1:   9 Division with Digits after Decimal Point
  538.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  539.    wt: 1:   4 Location of Point in Decimal Addition
  540.    wt: 1:   5 Distributive Law for Whole Numbers
  541.    wt: 1:   3 Multiplicative Counting Skills Principles
  542.    wt: 1:   2 Combing Counts Addition Skills and Principles
  543.    wt: 1:   1 The Counting Origins of Numbers
  544.    wt: 1:   4 Fraction Operations Axiomatic Development
  545.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  546.    wt: 1:   5 Proportionality in Equivalent Fractions
  547.    wt: 1:   3 Proportionality Examples
  548.    wt: 1:   2 Algebraic View
  549.    wt: 1:   1 What is Proportionality
  550.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  551.    wt: 1:   4 Subtraction and Division Axioms
  552.    wt: 1:   4 Comparison of Negative Numbers
  553.    wt: 1:   9 Coordinates for Regions in Space
  554.    wt: 1:   4 Rational Numbers
  555.    wt: 1:   5 Independent versus Dependent Variables
  556.    wt: 1:   2 Computation Rules Evaluation
  557.    wt: 1:   1 Formulas Dependence and Function Notation
  558.    wt: 1:   Simple Exercises
  559.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  560.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  561.    wt: 1:   3 GE III Equation Addition and Multiplication
  562.    wt: 1:   2 GE II Comparison
  563.    wt: 1:   1 GE Substitution four examples
  564.    wt: 1:   Using Letters for Physical Quantities
  565.    wt: 1:   9 Volume of Cone
  566.    wt: 1:   4 Circle Area Formula Example
  567.    wt: 1:   5 Product Builder Notation
  568.    wt: 1:   2 Venn Diagrams
  569.    wt: 1:   4 A Brief Story of numbers and algebra
  570.    wt: 1:   3 Adding Words To Arithmetic
  571.    wt: 1:   3 Comparison of Negative Numbers
  572.    wt: 1:   2 More and Less Than with Unlike Signs
  573.    wt: 1:   1 More and Less Than for Counts and Measures
  574.    wt: 1:   5 Square Roots with primes more still
  575.    wt: 1:   4 Square Roots with primes more
  576.    wt: 1:   3 Properties of Square Roots with example
  577.    wt: 1:   2 Square Roots with Prime
  578.    wt: 1:   1 Squares and Square Roots Introduction
  579.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  580.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  581.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  582.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  583.    wt: 1:   13 GCD from given Prime Factorization
  584.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  585.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  586.    wt: 1:   8 GCD from Euclidean Algorithm
  587.    wt: 1:   7 GCD and LCM from prime factorization
  588.    wt: 1:   6 GCD from Prime
  589.    wt: 1:   5 Common Divisors 60 45 via Prime
  590.    wt: 1:   1 Least Common Multiples LCM Introduction
  591.    wt: 1:   12 GCD 2700 288 via Prime
  592.    wt: 1:   D Three Term Ratios
  593.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  594.    wt: 1:   B Fractions and Two Term Ratios
  595.    wt: 1:   22 Complex Compound Fractions
  596.    wt: 1:   21 Working With Signs
  597.    wt: 1:   21 Reciprocals for Fractions and Wholes
  598.    wt: 1:   20 Dividing Fractions the Why
  599.    wt: 1:   19 Dividing Fractions How TO
  600.    wt: 1:   18 Efficient Ways to Multiply
  601.    wt: 1:   17 Efficient Ways to Add and Subtract
  602.    wt: 1:   14 Adding and Subtracting with Like Denominators
  603.    wt: 1:   13 Fraction Comparison Algebraic View
  604.    wt: 1:   12 Fraction Comparison
  605.    wt: 1:   11 Simplification an Algebraic View
  606.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  607.    wt: 1:   9 Improper Fractions and Mixed Numbers
  608.    wt: 1:   8 Numerals Fractionals Quantals Take II
  609.    wt: 1:   7 Numerals Fractionals Quantals
  610.    wt: 1:   6 Multiplication of Mixed Numbers
  611.    wt: 1:   6 Multiplication Algebraically Take II
  612.    wt: 1:   5 Equivalent Fractions
  613.    wt: 1:   3 Unit fraction of a fraction
  614.    wt: 1:   2 Unit Fraction Multiplication
  615.    wt: 1:   1 What is a fraction Take II
  616.    wt: 1:   1 What is a fraction
  617.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  618.    wt: 1:   D Remainders Modulo 11 Pair Rule
  619.    wt: 1:   B Integer Long Division Multiple Choices
  620.    wt: 1:   A Associative Law Theorectical Note
  621.    wt: 1:   13 Subtraction with Additive Inverse
  622.    wt: 1:   12 Adding Integers More Examples
  623.    wt: 1:   11 Adding Integers Formulas and Examples
  624.    wt: 1:   10 Integer Multiplication Formulas
  625.    wt: 1:   8 Multiplication by Signed Numbers Integers
  626.    wt: 1:   7 Multiplication by Signs
  627.    wt: 1:   6 Multiplication by Natural Numbers
  628.    wt: 1:   5 Zero Movement and Additive Inverses
  629.    wt: 1:   3 Adding Movements with same direction
  630.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  631.    wt: 1:   1 Integers as Coordinates
  632.    wt: 1:   20 Uniqueness of Prime Factorization
  633.    wt: 1:   19 video Prime Factorization Unique
  634.    wt: 1:   18 video Count Factors given Prime Factorization
  635.    wt: 1:   17 Identify and Count Factors using Primes
  636.    wt: 1:   16 video Factors of 980 using prime
  637.    wt: 1:   15 video Factors of 20 using Prime Factorization
  638.    wt: 1:   14 video Factors of 24 Take II
  639.    wt: 1:   13 video Factors of 24 using prime
  640.    wt: 1:   12 LCD GCD and LCM using Primes
  641.    wt: 1:   11 Efficient Square Rule Use
  642.    wt: 1:   10 video Prime Factorization upto 23 squared
  643.    wt: 1:   8 video Prime Factorization upto 19
  644.    wt: 1:   7 Calculator Usage Notes and Cautions
  645.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  646.    wt: 1:   5 Prime Factorization and a Square Rule
  647.    wt: 1:   3 video Primes and Composites from 9 times table
  648.    wt: 1:   2 Prime and Composites less than 16
  649.    wt: 1:   1 video how Products are bigger than factor
  650.    wt: 1:   11 Place Value SI Standard International way
  651.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  652.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  653.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  654.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  655.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  656.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  657.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  658.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  659.    wt: 1:   Quick history of numbers and algebra
  660.    wt: 1:   Formula Evaluation how to show work
  661.    wt: 1:   Expression Evaluation how to show work
  662.    wt: 1:   The 20 Times Table
  663.    wt: 1:   About folder contents
  664.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  665.    wt: 1:   5 Conversion Arithmetic
  666.    wt: 1:   4 Mixing and Changing Units of Time
  667.    wt: 1:   Example 1. Area Between x and x squared
  668.    wt: 1:   Area Between Curves Lesson Take 1
  669.    wt: 1:   5 Area Under Curve Exercise
  670.    wt: 1:   A Related lessons in Volume 3
  671.    wt: 1:   2 Second derivative test prequel
  672.    wt: 1:   A Chain Rule Real Player video examples
  673.    wt: 1:   38 Formulas and derivatives for powers and roots
  674.    wt: 1:   36 Cube root derivative animated
  675.    wt: 1:   14 sine and cosine derivatives 2nd step
  676.    wt: 1:   13 sine and cosine derivatives 1st step
  677.    wt: 1:   9 Reciprocal rule
  678.    wt: 1:   4 Sum Rule
  679.    wt: 1:   2 Motivation for Limit Definition Take 1
  680.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  681.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  682.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  683.    wt: 1:   9 Limits Continuity and Composition
  684.    wt: 1:   4 Numerical properties
  685.    wt: 1:   F.1 What Functions are Continuous
  686.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  687.    wt: 1:   C Triangle Inequalities
  688.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  689.    wt: 1:   Chapter 22 Complex Numbers
  690.    wt: 1:   Chapter 21 Arrow Addition
  691.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  692.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  693.    wt: 1:   Chapter 18. Slopes Areas Integration
  694.    wt: 1:   Chapter 17. Area Approximation
  695.    wt: 1:   Chapter 16. Velocity Approximation
  696.    wt: 1:   Chapter 15. Slope Approximation
  697.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  698.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  699.    wt: 1:   Chapter 13. Acceleration
  700.    wt: 1:   Chapter 12. Units and Slopes
  701.    wt: 1:   Chapter 11. Graphing Slope versus Position
  702.    wt: 1:   Chapter 10 Slopes and Units
  703.    wt: 1:   Chapter 7 Slopes and Velocity
  704.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  705.    wt: 1:   Chapter 5. Slope Sign Tests
  706.    wt: 1:   Chapter 3. Slope Sign Analysis
  707.    wt: 1:   Chapter 2. Slopes and Ski Trails
  708.    wt: 1:   Chapter 1.Introduction
  709.    wt: 1:   Foreword
  710.    wt: 1:   Appendix E. How To Study Mathematics and Why
  711.    wt: 1:   Appendix D. What to do in School and Why
  712.    wt: 1:   Appendix C. How to Read
  713.    wt: 1:   Appendix B. How To Learn
  714.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  715.    wt: 1:   Chapter 31 Direct and Indirect Reason
  716.    wt: 1:   Chapter 30 Truth Tables
  717.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  718.    wt: 1:   Chapter 28 Occurrence Tables
  719.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  720.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  721.    wt: 1:   Chapter 25. Mathematical Induction Examples
  722.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  723.    wt: 1:   Chapter 23. Notation For Sums
  724.    wt: 1:   Chapter 21. Third Reading Guide
  725.    wt: 1:   Chapter 20. Degrees and Radians
  726.    wt: 1:   Chapter 18. Rules for Algebra
  727.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  728.    wt: 1:   Chapter 16. Painless Theorem Proving
  729.    wt: 1:   Chapter 15. Solving Linear Equations
  730.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  731.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  732.    wt: 1:   Chapter 13. Second Reading Guide
  733.    wt: 1:   Chapter 12. Shorthand Usage Guide
  734.    wt: 1:   Chapter 11. Why Shorthand
  735.    wt: 1:   Chapter 10 Describing and Changing Calculations
  736.    wt: 1:   Chapter 8 Three Skills For Algebra
  737.    wt: 1:   Chapter 6 Change of Language
  738.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  739.    wt: 1:   Chapter 3 Chains of Reason
  740.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  741.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  742.    wt: 1:   Foreword
  743.    wt: 1:   Chapter 9 The Two Ends
  744.    wt: 1:   Chapter 7 Two Treatments of Geometry
  745.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  746.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  747.    wt: 1:   Postscript C Consistency as a Tool for Reason
  748.    wt: 1:   Postscript B More on Story Telling and Reason
  749.    wt: 1:   Postscript A Story Telling
  750.    wt: 1:   Chapter 24 Direct and Indirect Reason
  751.    wt: 1:   Chapter 23 Truth Tables
  752.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  753.    wt: 1:   Chapter 21 Occurrence Tables
  754.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  755.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  756.    wt: 1:   Chapter 18 Sense and Knowledge
  757.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  758.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  759.    wt: 1:   Chapter 15 Objective Processes
  760.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  761.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  762.    wt: 1:   Chapter 11 Accidental Patterns
  763.    wt: 1:   Chapter 10 Responsibility
  764.    wt: 1:   Chapter 8 Change of Language
  765.    wt: 1:   Chapter 7 Longer Chains of Reason
  766.    wt: 1:   Chapter 6 Chains of Reason
  767.    wt: 1:   Chapter 5 Deception
  768.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  769.    wt: 1:   Chapter 2 Skill Development
  770.    wt: 1:   Chapter 1 Introduction
  771.    wt: 1:   Three Remarks
  772.    wt: 1:   Foreword
  773.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  774.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  775.    wt: 1:   S Adding words to algebra
  776.    wt: 1:   R Why Learn Mathematics Skills
  777.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  778.    wt: 1:   O On Learning Mathematics and Science
  779.    wt: 1:   N Mathematics Prepare for College Studies
  780.    wt: 1:   L Skills with take home value
  781.    wt: 1:   N Improving Marks on Tests and Finals
  782.    wt: 1:   J. More on written work and showing skill
  783.    wt: 1:   H more Routine to non routine problem solving
  784.    wt: 1:   H Jigsaw puzzles and problem solving
  785.    wt: 1:   G. Written work formats for developing and showing skill
  786.    wt: 1:   F. The student teacher tutor feedback loop
  787.    wt: 1:   E. When and how to correct errors
  788.    wt: 1:   C. Domino effect of being careful
  789.    wt: 1:   B. Domino effect of errors
  790.    wt: 1:   A. Skill has to be seen to believed
  791.    wt: 1:   How to Build Skills and Confidence
  792.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  793.    wt: 1:   Chapter 8 Skipped Topics and Why
  794.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  795.    wt: 1:   Chapter 3 Algebra Starter Lessons
  796.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  797.    wt: 1:   7 Games and Activities for Instruction
  798.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  799.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  800.    wt: 1:   Helping the Blind in Logic and Mathematics
  801.    wt: 1:   Mathematics Education References
  802.    wt: 1:   Mathematics Education References
  803.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  804.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  805.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  806.    wt: 1:   Road Safety Questions
  807.    wt: 10:   chapitre 04 09 Regles accidentelles
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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