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Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
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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
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What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

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

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154 matches:

  1.    wt: 4:   5 Area Under Curve Exercise
  2.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  3.    wt: 2:   Skills Chapter 5 Calculus
  4.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  5.    wt: 2:   5 Areas of Rectangles Revisited
  6.    wt: 2:   5 Triangle Area Formula Backwards
  7.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  8.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  9.    wt: 2:   5 Common Divisors 60 45 via Prime
  10.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  11.    wt: 2:   5 Remainder Arithmetic Modulo 5
  12.    wt: 2:   1 Why 3 times 5 gives 15
  13.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  14.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  15.    wt: 2:   Area Between Curves Lesson Take 2
  16.    wt: 2:   Area Between Curves Lesson Take 1
  17.    wt: 2:   4 Definite Integrals Evaluation Exercises
  18.    wt: 2:   2 Indefinite Integrals Exercises
  19.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  20.    wt: 2:   Chapter 3 Algebra Starter Lessons
  21.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  22.    wt: 1:   5 logarithms and exponentials etc
  23.    wt: 1:   05 13 OldSiteEntrancePage
  24.    wt: 1:   04 25 when to stop or suspend mathemat
  25.    wt: 1:   chapitre 05 00 Deception
  26.    wt: 1:   chapitre 04 05 Implication versus suggestion
  27.    wt: 1:   E Energy Power05
  28.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  29.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  30.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  31.    wt: 1:   15 Counting For Parents
  32.    wt: 1:   5 Patience Please for Yourself and Your Charges
  33.    wt: 1:   Ages 4 plus to 5 plus
  34.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  35.    wt: 1:   15 Sign analysis of functions
  36.    wt: 1:   5 Function notation for geometric transformations
  37.    wt: 1:   5 quadratics completing the square
  38.    wt: 1:   5 Natural Logarithm Calculator Exercises
  39.    wt: 1:   1 Calculator Starter Exercises
  40.    wt: 1:   7 Links Lessons Elsewhere
  41.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  42.    wt: 1:   15 cosecant function Definition Graph and Inverse
  43.    wt: 1:   5 Swapping Coordinates is a reflection
  44.    wt: 1:   5 Degrees to Radian Measure
  45.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  46.    wt: 1:   15 Dot and Cross Product
  47.    wt: 1:   5 Head To Tail Arrow Addition
  48.    wt: 1:   5 Tangent Function Graph
  49.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  50.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  51.    wt: 1:   25 tangent double angle formula Slope connection
  52.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  53.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  54.    wt: 1:   15 sine cosine Complementary Angle Relations
  55.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  56.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  57.    wt: 1:   15 Pythagorean Theorem Converse
  58.    wt: 1:   5 An Easy Proof of the Distributive Law
  59.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  60.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  61.    wt: 1:   12 Links Lessons elsewhere
  62.    wt: 1:   5 Algebraic View of Slopes
  63.    wt: 1:   5 Cartesian Addition and Translation
  64.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  65.    wt: 1:   5 Side Angle Side
  66.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  67.    wt: 1:   3 Lengths and Areas on Maps and Plans
  68.    wt: 1:   2 Measuring Area Directly
  69.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  70.    wt: 1:   15 Head to Tails in place Addition Associative
  71.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  72.    wt: 1:   5 Distributive Law for Whole Numbers
  73.    wt: 1:   5 Proportionality in Equivalent Fractions
  74.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  75.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  76.    wt: 1:   5 Equality in Algebra
  77.    wt: 1:   5 Greater More Less Than Signs in General
  78.    wt: 1:   15 Real Number Division
  79.    wt: 1:   5 Rational Numbers More
  80.    wt: 1:   5 Independent versus Dependent Variables
  81.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  82.    wt: 1:   5 Algebraic Solutions Introduction
  83.    wt: 1:   5 Three Examples
  84.    wt: 1:   5 Box Volume Formula Example
  85.    wt: 1:   4 Circle Area Formula Example
  86.    wt: 1:   3 Triangle Area Formula Example
  87.    wt: 1:   2 Another Rectangle Area Formula Example
  88.    wt: 1:   5 Product Builder Notation
  89.    wt: 1:   5 Talking about Numbers and Quantities
  90.    wt: 1:   5 Square Roots with primes more still
  91.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  92.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  93.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  94.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  95.    wt: 1:   5 lengths and signs of numbers
  96.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  97.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  98.    wt: 1:   5 Equivalent Fractions
  99.    wt: 1:   5 Zero Movement and Additive Inverses
  100.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  101.    wt: 1:   26 Divisibility by 2 3 5 Example
  102.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  103.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  104.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  105.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  106.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  107.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  108.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  109.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  110.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  111.    wt: 1:   15 video Factors of 20 using Prime Factorization
  112.    wt: 1:   5 Prime Factorization and a Square Rule
  113.    wt: 1:   5 Long Division Include Zeroes or not
  114.    wt: 1:   C Counting Areas with Powers of Ten
  115.    wt: 1:   5 Decimal Fraction Multiplication
  116.    wt: 1:   5 A Tip for Efficent Subtraction
  117.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  118.    wt: 1:   5. How to add decimals C. Examples
  119.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  120.    wt: 1:   015 School and work day counting tables
  121.    wt: 1:   5 Conversion Arithmetic
  122.    wt: 1:   Example 1. Area Between x and x squared
  123.    wt: 1:   A Related lessons in Volume 3
  124.    wt: 1:   25 Chain Rule Animated Examples Continued
  125.    wt: 1:   15 sine and cosine derivatives 3rd step
  126.    wt: 1:   5 Product Rule
  127.    wt: 1:   5 Jumps and absence of unlimited error control
  128.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  129.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  130.    wt: 1:   G.5 Motions With Bounded Velocities
  131.    wt: 1:   F.5b Extreme Value Theorem
  132.    wt: 1:   F.5a Equicontinuity Theorems
  133.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  134.    wt: 1:   Chapter 18. Slopes Areas Integration
  135.    wt: 1:   Chapter 17. Area Approximation
  136.    wt: 1:   Chapter 15. Slope Approximation
  137.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  138.    wt: 1:   Chapter 9 About First Courses in Calculus
  139.    wt: 1:   Chapter 5. Slope Sign Tests
  140.    wt: 1:   Fall 1983 Calculus Appetizer
  141.    wt: 1:   Chapter 25. Mathematical Induction Examples
  142.    wt: 1:   Chapter 15. Solving Linear Equations
  143.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  144.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  145.    wt: 1:   Chapter 5 Four References
  146.    wt: 1:   Chapter 15 Objective Processes
  147.    wt: 1:   Chapter 5 Deception
  148.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  149.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  150.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  151.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  152.    wt: 1:   More Algebra and Slope based Calculus Preview
  153.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  154.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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881 matches:

  1.    wt: 9:   Example 1. Area Between x and x squared
  2.    wt: 9:   Area Between Crossing Curves Lesson Take 2
  3.    wt: 9:   Area Between Crossing Curves Lesson Take 1
  4.    wt: 9:   Area Between Curves Lesson Take 2
  5.    wt: 9:   Area Between Curves Lesson Take 1
  6.    wt: 8:   Example 1 volume of a pyramid
  7.    wt: 8:   4 Definite Integrals Evaluation Exercises
  8.    wt: 8:   2 Indefinite Integrals Exercises
  9.    wt: 7:   Example 2 volume of a cone
  10.    wt: 7:   Volume of Solid by Cross Sections Lesson
  11.    wt: 7:   Example 4 with x function of y
  12.    wt: 7:   Example 3
  13.    wt: 7:   Example 2
  14.    wt: 7:   Example 1
  15.    wt: 7:   Summary
  16.    wt: 7:   3 Two Chain Rule Method Exercises
  17.    wt: 7:   15 sine and cosine derivatives 3rd step
  18.    wt: 7:   5 Jumps and absence of unlimited error control
  19.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  20.    wt: 6:   5 Areas of Rectangles Revisited
  21.    wt: 6:   5 Proportionality in Equivalent Fractions
  22.    wt: 6:   5 Triangle Area Formula Backwards
  23.    wt: 6:   15 Real Number Division
  24.    wt: 6:   5 Rational Numbers More
  25.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  26.    wt: 6:   5 Algebraic Solutions Introduction
  27.    wt: 6:   5 Three Examples
  28.    wt: 6:   A Related Material in Volume 3
  29.    wt: 6:   1 Chain Rule in Reverse Integration Method
  30.    wt: 6:   A Related lessons in Volume 3
  31.    wt: 6:   4 Second derivative test exercise example
  32.    wt: 6:   26 Chain Rule Recognising outer inner functions
  33.    wt: 6:   25 Chain Rule Animated Examples Continued
  34.    wt: 6:   24 Chain Rule Animated Examples
  35.    wt: 6:   20 Chain Rule for Pulley Systems
  36.    wt: 6:   17 Derivatives of quotients of sine and cosine
  37.    wt: 6:   16 Derivatives of reciprocals of sine and cosine
  38.    wt: 6:   7 Animated Differentiation Examples
  39.    wt: 6:   5 Product Rule
  40.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  41.    wt: 6:   3 Decimal insights for limits continuity convergence
  42.    wt: 5:   15 cosecant function Definition Graph and Inverse
  43.    wt: 5:   5 Swapping Coordinates is a reflection
  44.    wt: 5:   7 Translations Rotations Reflections Dilatations
  45.    wt: 5:   5 Distributive Law for Whole Numbers
  46.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  47.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  48.    wt: 5:   5 Equality in Algebra
  49.    wt: 5:   5 Greater More Less Than Signs in General
  50.    wt: 5:   16 Real Numbers Comparison
  51.    wt: 5:   14 Real Number Multiplication
  52.    wt: 5:   13 Real Number Subtraction
  53.    wt: 5:   12 Real Number Additive Inverses or Negatives
  54.    wt: 5:   11 Real Number Addition
  55.    wt: 5:   10 Real Number Lengths and Signs
  56.    wt: 5:   9 Coordinates for Regions in Space
  57.    wt: 5:   8 Coordinates for Maps and Planes
  58.    wt: 5:   7 Real Numbers as Line Cordinates
  59.    wt: 5:   6 Unsigned Real Numbers
  60.    wt: 5:   4 Rational Numbers
  61.    wt: 5:   3 Fractions
  62.    wt: 5:   2 Integers
  63.    wt: 5:   1 Whole and Natural Numbers
  64.    wt: 5:   5 Independent versus Dependent Variables
  65.    wt: 5:   More Exercises
  66.    wt: 5:   5 Box Volume Formula Example
  67.    wt: 5:   4 Circle Area Formula Example
  68.    wt: 5:   3 Triangle Area Formula Example
  69.    wt: 5:   2 Another Rectangle Area Formula Example
  70.    wt: 5:   5 Product Builder Notation
  71.    wt: 5:   5 Zero Movement and Additive Inverses
  72.    wt: 5:   3 Second derivative test
  73.    wt: 5:   2 Second derivative test prequel
  74.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  75.    wt: 5:   A Chain Rule Real Player video examples
  76.    wt: 5:   38 Formulas and derivatives for powers and roots
  77.    wt: 5:   36 Cube root derivative animated
  78.    wt: 5:   34 Derivative of exponential function
  79.    wt: 5:   33 Chain Rule Real Player video examples
  80.    wt: 5:   31 Derivatives of inverse functions
  81.    wt: 5:   30Chain Rule A Proof
  82.    wt: 5:   29 Chain Rule Optional Reading
  83.    wt: 5:   28 Chain Rule Preparation for a Proof
  84.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  85.    wt: 5:   23 Chain Rule in general
  86.    wt: 5:   22 Chain Rule for polynomials
  87.    wt: 5:   21 Chain Rule for powers
  88.    wt: 5:   19 Chain Rule for linear functions
  89.    wt: 5:   18 Chain Rule Introduction
  90.    wt: 5:   14 sine and cosine derivatives 2nd step
  91.    wt: 5:   13 sine and cosine derivatives 1st step
  92.    wt: 5:   12 Quotient rule examples
  93.    wt: 5:   11 Quotient rule
  94.    wt: 5:   10 Power rule for negative integers
  95.    wt: 5:   9 Reciprocal rule
  96.    wt: 5:   8 Differentiation of polynomials
  97.    wt: 5:   6 Power rule from product rule
  98.    wt: 5:   4 Sum Rule
  99.    wt: 5:   3 Motivation for Limit Definition Take 2
  100.    wt: 5:   2 Motivation for Limit Definition Take 1
  101.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  102.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  103.    wt: 5:   11 Limits at infinity Three Examples
  104.    wt: 5:   10 Three one sided limits with infinite values
  105.    wt: 5:   9 Limits Continuity and Composition
  106.    wt: 5:   8 Four Animated Examples
  107.    wt: 5:   7 Evaluation by immediate or delayed substitution
  108.    wt: 5:   6 Continuity at a point
  109.    wt: 5:   4 Numerical properties
  110.    wt: 5:   2 Algebraic codification
  111.    wt: 5:   1 Numerical introduction
  112.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  113.    wt: 4:   15 Sign analysis of functions
  114.    wt: 4:   5 Function notation for geometric transformations
  115.    wt: 4:   5 Natural Logarithm Calculator Exercises
  116.    wt: 4:   16 cotangent function Definition Graph and Inverse
  117.    wt: 4:   14 secant function Definition Graph and Inverse
  118.    wt: 4:   13 cosecant function Definition Graph and Inverse
  119.    wt: 4:   12 motivation for term arctan
  120.    wt: 4:   11 arctan left inverse of tangent Graph
  121.    wt: 4:   10 arctan left inverse of tangent Definition
  122.    wt: 4:   9 motivation for name arcsin
  123.    wt: 4:   8 arcsin left inverse of sine Graph
  124.    wt: 4:   7 arcsin left inverse of sine Definition
  125.    wt: 4:   6 Graph of arccos function
  126.    wt: 4:   4 possible motivation for term arccos
  127.    wt: 4:   3 Left Inverse of cosine arccos definition
  128.    wt: 4:   2 cosine function more properties
  129.    wt: 4:   1 cosine function properties
  130.    wt: 4:   15 Dot and Cross Product
  131.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  132.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  133.    wt: 4:   15 Pythagorean Theorem Converse
  134.    wt: 4:   5 An Easy Proof of the Distributive Law
  135.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  136.    wt: 4:   12 Triangles Similarity More Problems
  137.    wt: 4:   11 Triangle Similarity Missing Side Problem
  138.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  139.    wt: 4:   9 Similarity of Triangles Usual Criteria
  140.    wt: 4:   8 Similarity of Triangles and Polygons
  141.    wt: 4:   6 Geometric Diagrams in Class
  142.    wt: 4:   4 Similarity Definition with Coordinate
  143.    wt: 4:   3 Similarity by Design with coordinates
  144.    wt: 4:   2 Similarity By Design
  145.    wt: 4:   1 Early Concept of Like or Similar Shapes
  146.    wt: 4:   5 Algebraic View of Slopes
  147.    wt: 4:   5 Cartesian Addition and Translation
  148.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  149.    wt: 4:   5 Side Angle Side
  150.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  151.    wt: 4:   15 Head to Tails in place Addition Associative
  152.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  153.    wt: 4:   4 Fraction Operations Axiomatic Development
  154.    wt: 4:   3 Inequalities Algebraically
  155.    wt: 4:   2 Fraction Operations Physical Development
  156.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  157.    wt: 4:   4 Rates Ratios and Proporitionality
  158.    wt: 4:   3 Proportionality Examples
  159.    wt: 4:   2 Algebraic View
  160.    wt: 4:   1 What is Proportionality
  161.    wt: 4:   8 Pythagorean Relation Forwards Backwards
  162.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  163.    wt: 4:   6 Compound Interest Forward and Backwards
  164.    wt: 4:   3 Linear Equation Literal Solution More
  165.    wt: 4:   2 Linear Equation Literal Solution
  166.    wt: 4:   1 Changing Calculations
  167.    wt: 4:   6 Equations and Systems Equivalent or Implied
  168.    wt: 4:   4 Subtraction and Division Axioms
  169.    wt: 4:   3 Product Axioms Two Forms
  170.    wt: 4:   2 Addition and Multiplication Axioms
  171.    wt: 4:   1 Equivalent Computation Rules
  172.    wt: 4:   4 Comparison of Negative Numbers
  173.    wt: 4:   3 More and Less Than with Unlike Signs
  174.    wt: 4:   2 More and Less Than for Counts and Measures
  175.    wt: 4:   1 Real Numbers Comparison
  176.    wt: 4:   4 Changing Letters
  177.    wt: 4:   3 Geometric Formulas and Function Notation
  178.    wt: 4:   2 Computation Rules Evaluation
  179.    wt: 4:   1 Formulas Dependence and Function Notation
  180.    wt: 4:   Simple Exercises
  181.    wt: 4:   4 GE III Animated Examples
  182.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  183.    wt: 4:   3 GE III Equation Addition and Multiplication
  184.    wt: 4:   2 GE II Comparison
  185.    wt: 4:   1 GE Substitution four examples
  186.    wt: 4:   4 Solving a triangular system exercise
  187.    wt: 4:   3 Solving triangular system example
  188.    wt: 4:   2 Essentially one exercises three with solution
  189.    wt: 4:   1 Essentially One Unknown
  190.    wt: 4:   6 Algebraic Solution Example
  191.    wt: 4:   4 Four Examples Fractional Coefficients
  192.    wt: 4:   3 Four Examples
  193.    wt: 4:   2 Three Examples
  194.    wt: 4:   1 Proper Equal Sign Usage
  195.    wt: 4:   Skill Development Notes
  196.    wt: 4:   10 One Example
  197.    wt: 4:   9 Three Examples
  198.    wt: 4:   8 One Example
  199.    wt: 4:   7 Two Examples
  200.    wt: 4:   6 Three Examples
  201.    wt: 4:   4 Two Examples
  202.    wt: 4:   3 Two Examples
  203.    wt: 4:   2 Three Examples
  204.    wt: 4:   Using Letters for Physical Quantities
  205.    wt: 4:   Formula Usage Show Work Format
  206.    wt: 4:   13 Naming Identifying Formulas with Words
  207.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  208.    wt: 4:   11 Volume of Sphere
  209.    wt: 4:   10 Volume of Pyramid
  210.    wt: 4:   9 Volume of Cone
  211.    wt: 4:   8 Compound Interest Formula Evaluation
  212.    wt: 4:   7 Compound Interest Formula Introduction
  213.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  214.    wt: 4:   1 Written work formats for developing and showing skill
  215.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  216.    wt: 4:   9 Sets in Probability and Statistics
  217.    wt: 4:   8 Sets of Numbers
  218.    wt: 4:   7 Cautious or Safe Set Construction
  219.    wt: 4:   6 Power Set Notation
  220.    wt: 4:   4 Subset Builder Notation
  221.    wt: 4:   3 Counting with Sets etc
  222.    wt: 4:   2 Venn Diagrams
  223.    wt: 4:   1 Finite Sets
  224.    wt: 4:   5 Talking about Numbers and Quantities
  225.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  226.    wt: 4:   5 Common Divisors 60 45 via Prime
  227.    wt: 4:   D Remainders Modulo 11 Pair Rule
  228.    wt: 4:   C Divisibility by 11 Integer Recognition Method
  229.    wt: 3:   Skills Chapter 5 Calculus
  230.    wt: 3:   sign monoticity analysis example 4
  231.    wt: 3:   sign monoticity analysis example 3
  232.    wt: 3:   sign monoticity analysis example 2
  233.    wt: 3:   sign monoticity analysis example 1
  234.    wt: 3:   A Quadratics Summary
  235.    wt: 3:   5 quadratics completing the square
  236.    wt: 3:   1 Calculator Starter Exercises
  237.    wt: 3:   7 Links Lessons Elsewhere
  238.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  239.    wt: 3:   5 Degrees to Radian Measure
  240.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  241.    wt: 3:   6 Vectors with Coordinates
  242.    wt: 3:   5 Head To Tail Arrow Addition
  243.    wt: 3:   Parallel Lines and Parallel Transversals
  244.    wt: 3:   Triangle Angles Sum To 180 Degrees
  245.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  246.    wt: 3:   Parallel Lines and Interior Angles
  247.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  248.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  249.    wt: 3:   C Straight Lines Slope from Coordinates
  250.    wt: 3:   B Straight Line Slope Scaling Properties More
  251.    wt: 3:   A Straight Line Slope Scaling Properties
  252.    wt: 3:   14 Straight Lines Equations General Case
  253.    wt: 3:   5 Tangent Function Graph
  254.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  255.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  256.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  257.    wt: 3:   26 Formulas for products of sines and cosines
  258.    wt: 3:   25 tangent double angle formula Slope connection
  259.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  260.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  261.    wt: 3:   17G Pythagorean Theorem Converse
  262.    wt: 3:   17F Law of cosines
  263.    wt: 3:   17E Trig Formulas for dot and cross Products
  264.    wt: 3:   17D cis formulas for sine cosines and tangent
  265.    wt: 3:   17C sine and cosine double triple angle formulas
  266.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  267.    wt: 3:   17A The complex number valued trig function cis
  268.    wt: 3:   15 sine cosine Complementary Angle Relations
  269.    wt: 3:   8 period of tangent function
  270.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  271.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  272.    wt: 3:   Unit Circle Development of Trigonometry
  273.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  274.    wt: 3:   12 Links Lessons elsewhere
  275.    wt: 3:   PS E Multiplication with Polar Coordinates
  276.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  277.    wt: 3:   3 Lengths and Areas on Maps and Plans
  278.    wt: 3:   2 Measuring Area Directly
  279.    wt: 3:   musings do not puiblish real numbers
  280.    wt: 3:   A Modular and Remainder Arithmetic
  281.    wt: 3:   A Signed Number Arithmetic Review
  282.    wt: 3:   26 More Less Greater Than Comparison
  283.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  284.    wt: 3:   23 Distributive Law Two Derivations
  285.    wt: 3:   22 Multiplication of Signed Numbers
  286.    wt: 3:   21 Addition of Multiples of a Single Vector
  287.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  288.    wt: 3:   19 Signed Multiples of Vectors
  289.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  290.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  291.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  292.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  293.    wt: 3:   13 Arrows and Vectors in a Plane
  294.    wt: 3:   12 Real Numbers Line Signed Coordinates
  295.    wt: 3:   11 Signed Number Addition and Addition Properties
  296.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  297.    wt: 3:   9 Division with Digits after Decimal Point
  298.    wt: 3:   8 Division and Mulplication of Compound Fractions
  299.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  300.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  301.    wt: 3:   4 Location of Point in Decimal Addition
  302.    wt: 3:   3 Location of Point in Decimal Multiplication
  303.    wt: 3:   2 Counting Digits in Decimal Multiplication
  304.    wt: 3:   1 Fractions with Finite Decimal Expansions
  305.    wt: 3:   E Long Division Methods more
  306.    wt: 3:   D Long Division Methods
  307.    wt: 3:   C Three Decimal Subtraction Methods
  308.    wt: 3:   B Decimal Comparison and Subtraction
  309.    wt: 3:   A Decimal Addition Columm Methods
  310.    wt: 3:   8 Column Multiplication Methods in General
  311.    wt: 3:   7 Decimals Multiplication Methods Examples
  312.    wt: 3:   6 Column Methods for Decimal Multiplication
  313.    wt: 3:   4 Commutative Law Groups Counting Form
  314.    wt: 3:   3 Multiplicative Counting Skills Principles
  315.    wt: 3:   2 Combing Counts Addition Skills and Principles
  316.    wt: 3:   1 The Counting Origins of Numbers
  317.    wt: 3:   6 Three Notions of What is a Variable
  318.    wt: 3:   4 A Brief Story of numbers and algebra
  319.    wt: 3:   3 Adding Words To Arithmetic
  320.    wt: 3:   2 What is a Variable
  321.    wt: 3:   1 Three Skills For Algebra
  322.    wt: 3:   About Folder Contents
  323.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  324.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  325.    wt: 3:   5 lengths and signs of numbers
  326.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  327.    wt: 3:   5 Equivalent Fractions
  328.    wt: 3:   B Integer Long Division Multiple Choices
  329.    wt: 3:   A Associative Law Theorectical Note
  330.    wt: 3:   13 Subtraction with Additive Inverse
  331.    wt: 3:   12 Adding Integers More Examples
  332.    wt: 3:   11 Adding Integers Formulas and Examples
  333.    wt: 3:   10 Integer Multiplication Formulas
  334.    wt: 3:   9 Multiplying Integers
  335.    wt: 3:   8 Multiplication by Signed Numbers Integers
  336.    wt: 3:   7 Multiplication by Signs
  337.    wt: 3:   6 Multiplication by Natural Numbers
  338.    wt: 3:   4 Adding Movements wiht opposite directions
  339.    wt: 3:   3 Adding Movements with same direction
  340.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  341.    wt: 3:   1 Integers as Coordinates
  342.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  343.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  344.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  345.    wt: 3:   5 Remainder Arithmetic Modulo 5
  346.    wt: 3:   15 video Factors of 20 using Prime Factorization
  347.    wt: 3:   5 Prime Factorization and a Square Rule
  348.    wt: 3:   5 Long Division Include Zeroes or not
  349.    wt: 3:   5 Decimal Fraction Multiplication
  350.    wt: 3:   1 Why 3 times 5 gives 15
  351.    wt: 3:   5 A Tip for Efficent Subtraction
  352.    wt: 3:   5. How to add decimals C. Examples
  353.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  354.    wt: 3:   Chapter 15. Slope Approximation
  355.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  356.    wt: 3:   Chapter 5. Slope Sign Tests
  357.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  358.    wt: 2:   5 logarithms and exponentials etc
  359.    wt: 2:   site origins
  360.    wt: 2:   What to Tell Students
  361.    wt: 2:   E Energy Power05
  362.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  363.    wt: 2:   15 Counting For Parents
  364.    wt: 2:   5 Patience Please for Yourself and Your Charges
  365.    wt: 2:   26 Function definitions done and coming
  366.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  367.    wt: 2:   23 Inverse Functions
  368.    wt: 2:   22 Square Root function graphically
  369.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  370.    wt: 2:   20 Interchanging coordinates a reflection
  371.    wt: 2:   19 Horizontal line rule and method
  372.    wt: 2:   18 Vertical Line Rule and Method
  373.    wt: 2:   17 Function maxima minima and their location
  374.    wt: 2:   16 Increasing or decreasing on intervals
  375.    wt: 2:   14 Surjections Injections Bijections
  376.    wt: 2:   13 From one to one to many to one
  377.    wt: 2:   12 Function Domain Recognition Exercises
  378.    wt: 2:   11 Function Domain Range Source and Targets
  379.    wt: 2:   10 Interval Notation
  380.    wt: 2:   9 Set theory term relation possible origins
  381.    wt: 2:   8 Set view of relations and functions
  382.    wt: 2:   7 Functions with finite domains
  383.    wt: 2:   6 Set Existence Formation and Notation
  384.    wt: 2:   4 Function notation in and beyond mathematics
  385.    wt: 2:   3 Formula or function graphing exercise
  386.    wt: 2:   2 Algebraic use of function notation
  387.    wt: 2:   1 Geometric Introduction of Function Notation
  388.    wt: 2:   Introduction Reading Guide
  389.    wt: 2:   10 quadratic exercises
  390.    wt: 2:   9 quadratics physical and further context
  391.    wt: 2:   8 quadratics backward use of various formulas
  392.    wt: 2:   7 quadratic formulla derivation
  393.    wt: 2:   6 quadratics numerical approach
  394.    wt: 2:   4 quadratics difference of two squares
  395.    wt: 2:   3 quadratics factoring by inspection
  396.    wt: 2:   2 quadratics graphing in general
  397.    wt: 2:   1 quadratics graphing exercises
  398.    wt: 2:   Quadratics in 10 steps
  399.    wt: 2:   11 Growth and Decay in Biology
  400.    wt: 2:   10 Exponential Growth and Decay Models
  401.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  402.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  403.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  404.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  405.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  406.    wt: 2:   2 Square Root Simplification a prequel
  407.    wt: 2:   8 Notes for instructors or tutors
  408.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  409.    wt: 2:   4 Polynomials Long division linear divisor
  410.    wt: 2:   3 Polynomials Multiplication Addition
  411.    wt: 2:   2 Column Multiplication Method
  412.    wt: 2:   1 Polynomials Distributive Law
  413.    wt: 2:   9 Summary Degrees to Radians and back
  414.    wt: 2:   8 Radian Measures of Common Angles
  415.    wt: 2:   7 Radian Measures in special Triangles
  416.    wt: 2:   6 Radian Measure to Degrees
  417.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  418.    wt: 2:   2 Radian Measure Numerical Value of one degree
  419.    wt: 2:   1 Degrees and Radians Introduction
  420.    wt: 2:   A Global Time and Navigation
  421.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  422.    wt: 2:   13 Velocity Vectors in Physics
  423.    wt: 2:   12 From Applied To Pure Mathematics
  424.    wt: 2:   11 Component Method
  425.    wt: 2:   10 Parallelogram Addition Method
  426.    wt: 2:   9 Head to Tail Coordinate View
  427.    wt: 2:   8 Parallel Vectors
  428.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  429.    wt: 2:   4 Resultant of a Sum of Movements
  430.    wt: 2:   3 Navigation with Arrows or Vectors
  431.    wt: 2:   2 Signed Coordinates
  432.    wt: 2:   1 Unsigned Coordinates
  433.    wt: 2:   Vector and Complex Number Applet
  434.    wt: 2:   4 graphing y=Asin(x c)
  435.    wt: 2:   3 graphing y=f(x c) plus K
  436.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  437.    wt: 2:   1 graphing y=f(x a)
  438.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  439.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  440.    wt: 2:   Straight Lines ASA Intersection Study More
  441.    wt: 2:   Straight Lines ASA Intersection Study
  442.    wt: 2:   Straight Lines Instersection Solving Equations
  443.    wt: 2:   Straight Lines Intersection of
  444.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  445.    wt: 2:   12 Straight Lines Graphing mx plus b
  446.    wt: 2:   11 Straight Lines Graphing y=mx
  447.    wt: 2:   10 Straight Lines through Origin Equations More
  448.    wt: 2:   9 Straight Lines through Origin Equations
  449.    wt: 2:   8 Straight Lines Equation for vertical
  450.    wt: 2:   7 Tangent Function is odd on this domain
  451.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  452.    wt: 2:   4 Tangent Function Properties
  453.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  454.    wt: 2:   1 Straight Lines Slope Concept
  455.    wt: 2:   17 tangent function angle sum formulas
  456.    wt: 2:   32 seven rows of pascals triangle
  457.    wt: 2:   31 basic secant cosecant cotangent trig identities
  458.    wt: 2:   30 unit circle calculation of six trigonometric functions
  459.    wt: 2:   29 secant cosecant and cotangent for acute angles
  460.    wt: 2:   28 Expressing products of sines cosines as sums
  461.    wt: 2:   27 Logarithmic use of products of sines and cosines
  462.    wt: 2:   24 tangent Angle Difference Formula
  463.    wt: 2:   21 sine and cosine Half Angle Formulas
  464.    wt: 2:   20 sine and cosine Double Angle Formulas
  465.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  466.    wt: 2:   18 sum of sinusoidal waves as a single wave
  467.    wt: 2:   16 Right Triangle Complementary Angle Relations
  468.    wt: 2:   14 cosine even and sine and tangent are odd
  469.    wt: 2:   13 Graph of tangent function many periods
  470.    wt: 2:   12 Graph of tangent function for one period
  471.    wt: 2:   11 tangent function undefined when terminal side vertical
  472.    wt: 2:   10 Graphs of sines and cosines many periods
  473.    wt: 2:   9 Graphs of sine and cosine over one period
  474.    wt: 2:   7 period of sine and cosine
  475.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  476.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  477.    wt: 2:   2 Quadrant I reference Angles
  478.    wt: 2:   1 Unit Points Reflections Rotations
  479.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  480.    wt: 2:   21 Logarithms Powers and Exponentials
  481.    wt: 2:   20 N th Roots of Complex Numbers
  482.    wt: 2:   19 N th Roots of Unity
  483.    wt: 2:   18 Sixth Roots of Unity
  484.    wt: 2:   17 Cube Roots of unity
  485.    wt: 2:   16 References and Originality Question
  486.    wt: 2:   14 Law of cosines
  487.    wt: 2:   13 Trig Formulas for dot and cross Products
  488.    wt: 2:   12 cis formulas for sine cosines and tangent
  489.    wt: 2:   11 sine and cosine double triple angle formulas
  490.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  491.    wt: 2:   9 The complex number valued trig function cis
  492.    wt: 2:   8 Unit Circle Development of Trigonometry
  493.    wt: 2:   7 Second Way to Calculate Products
  494.    wt: 2:   6 Field Properties of Complex Number
  495.    wt: 2:   4 Multiplication Properties
  496.    wt: 2:   3 Addition Properties
  497.    wt: 2:   2 Complex Numbers made easier we hope
  498.    wt: 2:   1 Rectangular Polar Coordinates Review
  499.    wt: 2:   Appetizer A Complex Number Applet
  500.    wt: 2:   8 Triangles Cascade Problem Solving
  501.    wt: 2:   7 Trignometric Ratios Unit Circle
  502.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  503.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  504.    wt: 2:   3 Trigonometric Ratios sine and cosine
  505.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  506.    wt: 2:   1 Angle Measurement with Degrees
  507.    wt: 2:   Why Trigonometry the whyslopes view
  508.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  509.    wt: 2:   Four Simple Exercises
  510.    wt: 2:   11 A Partial Summary
  511.    wt: 2:   10 Midpoint of [a b] and [b a]
  512.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  513.    wt: 2:   8 Mid Point Formula
  514.    wt: 2:   7 Exercises to test skill and concept mastery
  515.    wt: 2:   6 Intersection of lines by solving linear systems
  516.    wt: 2:   4 Equations for lines three forms
  517.    wt: 2:   3 Slope product for perpendicular lines
  518.    wt: 2:   2 point slope equation for a line
  519.    wt: 2:   1 Numerical view of lines and their equations
  520.    wt: 2:   What is and is not here
  521.    wt: 2:   13 Pythagorean spatial distance formulas
  522.    wt: 2:   12 Spatial Coordinates
  523.    wt: 2:   11 Triangle Inequality
  524.    wt: 2:   10 Pythagorean plane distance formula
  525.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  526.    wt: 2:   8 Distance Between Points on a Line
  527.    wt: 2:   7 Complex Numbers Appetizer
  528.    wt: 2:   6 Polar Multiplication and Rotation
  529.    wt: 2:   4 Polar Coordinates to and from
  530.    wt: 2:   3 Rectangular Coordinates Review
  531.    wt: 2:   2 Cartesian Coordinates with signs
  532.    wt: 2:   1 Cartesian Coordinates sans signs
  533.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  534.    wt: 2:   PS H Distributive Law For Complex Numbers
  535.    wt: 2:   PS G Rotation Distributes over Addition
  536.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  537.    wt: 2:   PS D Addition with Cartesian Coordinates
  538.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  539.    wt: 2:   PS B Parallelogram Construction Methods
  540.    wt: 2:   PS A Kite Construction Methods
  541.    wt: 2:   21 Parallelograms
  542.    wt: 2:   19 Right Triangle Similarity
  543.    wt: 2:   18 Triangle Similarity Take 1
  544.    wt: 2:   17 Right Bisectors of Triangle Sides
  545.    wt: 2:   16 Angles Subtended By Chords and Diameters
  546.    wt: 2:   14 Parallel Lines Postulate
  547.    wt: 2:   13 Angle Side Angle Failure
  548.    wt: 2:   12 Side Angle Side Failure
  549.    wt: 2:   11 Triangle Construction Fails
  550.    wt: 2:   10 Dropping a perpendicular to line
  551.    wt: 2:   9 Construction of a right bisector
  552.    wt: 2:   8 Isoceles Triangles
  553.    wt: 2:   7 Angle Side Angle
  554.    wt: 2:   6 Ruler and compass Angle Bisection
  555.    wt: 2:   4 Side Side Side
  556.    wt: 2:   3 Isometry of Triangles Congruence
  557.    wt: 2:   2 Correspondence between Triangles
  558.    wt: 2:   1 Initial Concepts and Terms
  559.    wt: 2:   Short Course on Euclidean Geometry
  560.    wt: 2:   A Measurement with Ruler Proper Use
  561.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  562.    wt: 2:   6 Figuring with Maps Not to Scale
  563.    wt: 2:   4 Angles on Maps Plans drawn to scale
  564.    wt: 2:   1 Length Measurement
  565.    wt: 2:   About Folder Contents
  566.    wt: 2:   5 Square Roots with primes more still
  567.    wt: 2:   2 Square Roots with Prime
  568.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  569.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  570.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  571.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  572.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  573.    wt: 2:   1 Counting and Counting Methods I
  574.    wt: 2:   7 Converting or Changing Units
  575.    wt: 2:   6 Simplification of Fractions with Units
  576.    wt: 2:   4 Fractions with Units
  577.    wt: 2:   3 Multiplying Units and Numbers
  578.    wt: 2:   2 Equality and Units
  579.    wt: 2:   1 Addition and Subtraction with Units
  580.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  581.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  582.    wt: 2:   26 Divisibility by 2 3 5 Example
  583.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  584.    wt: 2:   21 Remainder Arithmetic Modulo 3
  585.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  586.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  587.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  588.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  589.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  590.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  591.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  592.    wt: 2:   1 Remainder Arithmetic Modulo 10
  593.    wt: 2:   Division with Counts and Length
  594.    wt: 2:   C Counting Areas with Powers of Ten
  595.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  596.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  597.    wt: 2:   Exact Arithmetic Wholes and Fractions
  598.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  599.    wt: 2:   015 School and work day counting tables
  600.    wt: 2:   5 Conversion Arithmetic
  601.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  602.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  603.    wt: 2:   G.5 Motions With Bounded Velocities
  604.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  605.    wt: 2:   F.5b Extreme Value Theorem
  606.    wt: 2:   F.5a Equicontinuity Theorems
  607.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  608.    wt: 2:   PostScript For and Against Decimal Perspectives
  609.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  610.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  611.    wt: 2:   Chapter 18. Slopes Areas Integration
  612.    wt: 2:   Chapter 17. Area Approximation
  613.    wt: 2:   Chapter 9 About First Courses in Calculus
  614.    wt: 2:   Fall 1983 Calculus Appetizer
  615.    wt: 2:   Chapter 25. Mathematical Induction Examples
  616.    wt: 2:   Chapter 15. Solving Linear Equations
  617.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  618.    wt: 2:   Chapter 5 Four References
  619.    wt: 2:   Chapter 15 Objective Processes
  620.    wt: 2:   Chapter 5 Deception
  621.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  622.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  623.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  624.    wt: 2:   Chapter 3 Algebra Starter Lessons
  625.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  626.    wt: 2:   More Algebra and Slope based Calculus Preview
  627.    wt: 1:   K LAMP Musings Science Education
  628.    wt: 1:   J LAMP Introduction Extrinsic Origins
  629.    wt: 1:   I LAMP Introduction Study Habits
  630.    wt: 1:   H LAMP Introduction Instructional Concepts
  631.    wt: 1:   G LAMP Introduction Problem Solving Skills
  632.    wt: 1:   F LAMP Introduction Prerequisites
  633.    wt: 1:   E LAMP Introduction Modern Mathematics
  634.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  635.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  636.    wt: 1:   A Introduction Objectives
  637.    wt: 1:   Ramblings Introduction Algebra Essay
  638.    wt: 1:   three goals to set for students
  639.    wt: 1:   site eurekas
  640.    wt: 1:   About site lesson plans
  641.    wt: 1:   key notes and themes
  642.    wt: 1:   Postscript 2007 01 10
  643.    wt: 1:   five decades make a difference
  644.    wt: 1:   Maps Plans Drawings
  645.    wt: 1:   mathematics curriculum shifts
  646.    wt: 1:   Lessening Algebra Difficulties
  647.    wt: 1:   05 13 OldSiteEntrancePage
  648.    wt: 1:   04 25 when to stop or suspend mathemat
  649.    wt: 1:   formal or informal peer review
  650.    wt: 1:   Theory of Knowledge
  651.    wt: 1:   mathematics instruction in general
  652.    wt: 1:   need for a mixed mathematics curriculum
  653.    wt: 1:   words for mathematics instructor
  654.    wt: 1:   chapitre 05 00 Deception
  655.    wt: 1:   chapitre 04 05 Implication versus suggestion
  656.    wt: 1:   C Wire Resistance Calculation01
  657.    wt: 1:   2 Unlike resistors in parallel01
  658.    wt: 1:   D Kirchoff First Law
  659.    wt: 1:   Home Tutoring and Home Schooling
  660.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  661.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  662.    wt: 1:   Ages 6 to 7
  663.    wt: 1:   Ages 4 plus to 5 plus
  664.    wt: 1:   Rewriting algebraic substitution as function substitutions
  665.    wt: 1:   arithmetic videos Real Player Format
  666.    wt: 1:   4 Greater More Less Than Signs in General
  667.    wt: 1:   3 Comparison of Negative Numbers
  668.    wt: 1:   2 More and Less Than with Unlike Signs
  669.    wt: 1:   1 More and Less Than for Counts and Measures
  670.    wt: 1:   4 Square Roots with primes more
  671.    wt: 1:   3 Properties of Square Roots with example
  672.    wt: 1:   1 Squares and Square Roots Introduction
  673.    wt: 1:   13 GCD from given Prime Factorization
  674.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  675.    wt: 1:   8 GCD from Euclidean Algorithm
  676.    wt: 1:   7 GCD and LCM from prime factorization
  677.    wt: 1:   6 GCD from Prime
  678.    wt: 1:   4 LCM of 8 and 10 via Prime
  679.    wt: 1:   2 Least Common Multiple LCM intro via list method
  680.    wt: 1:   1 Least Common Multiples LCM Introduction
  681.    wt: 1:   12 GCD 2700 288 via Prime
  682.    wt: 1:   4 Counting with Trees Product Rule Take I
  683.    wt: 1:   3 Counting with Tables and Trees II
  684.    wt: 1:   2 Counting with Tables and Trees I
  685.    wt: 1:   11 What are real lengths and numbers
  686.    wt: 1:   10 dividing signed numbers
  687.    wt: 1:   9 subtracting signed numbers
  688.    wt: 1:   8 multiplying signed numbers
  689.    wt: 1:   7 negative and additive inverse
  690.    wt: 1:   6 adding signed numbers
  691.    wt: 1:   4 signed coordinates for regions in space
  692.    wt: 1:   3 signed coordinates for maps and planes
  693.    wt: 1:   2 signed and unsigned numbers as coordinates
  694.    wt: 1:   D Three Term Ratios
  695.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  696.    wt: 1:   B Fractions and Two Term Ratios
  697.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  698.    wt: 1:   22 Complex Compound Fractions
  699.    wt: 1:   21 Working With Signs
  700.    wt: 1:   21 Reciprocals for Fractions and Wholes
  701.    wt: 1:   20 Dividing Fractions the Why
  702.    wt: 1:   19 Dividing Fractions How TO
  703.    wt: 1:   18 Efficient Ways to Multiply
  704.    wt: 1:   17 Efficient Ways to Add and Subtract
  705.    wt: 1:   16 Addition Subtraction Comparision Compared
  706.    wt: 1:   14 Adding and Subtracting with Like Denominators
  707.    wt: 1:   13 Fraction Comparison Algebraic View
  708.    wt: 1:   12 Fraction Comparison
  709.    wt: 1:   11 Simplification an Algebraic View
  710.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  711.    wt: 1:   9 Improper Fractions and Mixed Numbers
  712.    wt: 1:   8 Numerals Fractionals Quantals Take II
  713.    wt: 1:   7 Numerals Fractionals Quantals
  714.    wt: 1:   6 Multiplication of Mixed Numbers
  715.    wt: 1:   6 Multiplication Algebraically Take II
  716.    wt: 1:   4 Fraction Multiplication
  717.    wt: 1:   3 Unit fraction of a fraction
  718.    wt: 1:   2 Unit Fraction Multiplication
  719.    wt: 1:   1 What is a fraction Take II
  720.    wt: 1:   1 What is a fraction
  721.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  722.    wt: 1:   23 Remainder Arithmetic Modulo 2
  723.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  724.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  725.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  726.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  727.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  728.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  729.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  730.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  731.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  732.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  733.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  734.    wt: 1:   20 Uniqueness of Prime Factorization
  735.    wt: 1:   19 video Prime Factorization Unique
  736.    wt: 1:   18 video Count Factors given Prime Factorization
  737.    wt: 1:   17 Identify and Count Factors using Primes
  738.    wt: 1:   16 video Factors of 980 using prime
  739.    wt: 1:   14 video Factors of 24 Take II
  740.    wt: 1:   13 video Factors of 24 using prime
  741.    wt: 1:   12 LCD GCD and LCM using Primes
  742.    wt: 1:   11 Efficient Square Rule Use
  743.    wt: 1:   10 video Prime Factorization upto 23 squared
  744.    wt: 1:   9 video Prime Factorization upto 19 squared
  745.    wt: 1:   8 video Prime Factorization upto 19
  746.    wt: 1:   7 Calculator Usage Notes and Cautions
  747.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  748.    wt: 1:   4 video Prime Factorization Introduction
  749.    wt: 1:   3 video Primes and Composites from 9 times table
  750.    wt: 1:   2 Prime and Composites less than 16
  751.    wt: 1:   1 video how Products are bigger than factor
  752.    wt: 1:   Long Division Backwards more
  753.    wt: 1:   Long Division Backward
  754.    wt: 1:   Long Division forwards and backwards Example 3
  755.    wt: 1:   Long Division forwards and backwards Example 2
  756.    wt: 1:   Long Division forwards and backwards Example 1
  757.    wt: 1:   12 Why Long Division Works Take III
  758.    wt: 1:   11 Another Single Digit Divisor Example
  759.    wt: 1:   10 Division by Five Long and Short Ways
  760.    wt: 1:   9 Why Long Division Works Take II
  761.    wt: 1:   8 Correcting the Mistake
  762.    wt: 1:   7 Long Divison Mistake Catching
  763.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  764.    wt: 1:   4 Division with 2 Digit Divsors
  765.    wt: 1:   3 Division Single Digit Divisor Example
  766.    wt: 1:   2 Division with Single Digit Divisors
  767.    wt: 1:   1 Divsion Physical Examples
  768.    wt: 1:   D Decimal Multiplication Methods Derived
  769.    wt: 1:   B Powers of Ten
  770.    wt: 1:   A Elementary Basis for Multiplication Methods
  771.    wt: 1:   6 Multiplication Commutes Order Not Important
  772.    wt: 1:   4 Two and Three Digit Multipliers
  773.    wt: 1:   3 More One Digit Multipliers
  774.    wt: 1:   2 One Digit Multipliers
  775.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  776.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  777.    wt: 1:   Video Power Notation in Decimal Expansion
  778.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  779.    wt: 1:   Subtraction with J Conversions Example
  780.    wt: 1:   Subtraction Another Video Lesson
  781.    wt: 1:   9 22 Minute Subtraction Review Video
  782.    wt: 1:   8 Subtraction with Units of Measure
  783.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  784.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  785.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  786.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  787.    wt: 1:   2 Subtraction Easy Case Examples
  788.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  789.    wt: 1:   8 What skills and work habits to require
  790.    wt: 1:   7 Adding decimal fractions using decimal point
  791.    wt: 1:   6. Counting and adding units and mixed units
  792.    wt: 1:   4. How to add with decimals B with conversions
  793.    wt: 1:   3. How to add with decimals A sans conversions
  794.    wt: 1:   2 Decimal Counting Practices
  795.    wt: 1:   1. Explaining Addition Table
  796.    wt: 1:   11 Place Value SI Standard International way
  797.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  798.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  799.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  800.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  801.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  802.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  803.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  804.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  805.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  806.    wt: 1:   Quick history of numbers and algebra
  807.    wt: 1:   Formula Evaluation how to show work
  808.    wt: 1:   Expression Evaluation how to show work
  809.    wt: 1:   The 20 Times Table
  810.    wt: 1:   The 12 Times Table Visually
  811.    wt: 1:   About folder contents
  812.    wt: 1:   016 Numbering Occidental Calendar Days
  813.    wt: 1:   014 Counting Days with Calendars
  814.    wt: 1:   013 Travel Time Tables
  815.    wt: 1:   012 Division of Time Intervals by Time Intervals
  816.    wt: 1:   011 Division of Time Intervals By Numbers
  817.    wt: 1:   010 Repeated Addition of Time Intervals
  818.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  819.    wt: 1:   8 Addition of Time Intervals via subtotaling
  820.    wt: 1:   7 Addition of Time Intervals
  821.    wt: 1:   6 How long is a million seconds
  822.    wt: 1:   4 Mixing and Changing Units of Time
  823.    wt: 1:   3 Units and Lengths of Time
  824.    wt: 1:   2 Time and Date Matters in School
  825.    wt: 1:   1 Intro of Kids To Time Date Skills
  826.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  827.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  828.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  829.    wt: 1:   G.3 Constant Difference Theorem Proof
  830.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  831.    wt: 1:   F.4 Finite Covering Theorem
  832.    wt: 1:   F.3 Intermediate Value Theorem
  833.    wt: 1:   F.2 Closed Range Theorem
  834.    wt: 1:   F.1 What Functions are Continuous
  835.    wt: 1:   E2 Algebraic Properties of Limits
  836.    wt: 1:   E1 Error Control Inequalities
  837.    wt: 1:   D2 Limits of Monotone Sequences
  838.    wt: 1:   C Triangle Inequalities
  839.    wt: 1:   B3 Bolzano Weierstrass Theorem
  840.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  841.    wt: 1:   A1. Introduction
  842.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  843.    wt: 1:   Chapter 23 Links To Trigonometry
  844.    wt: 1:   Chapter 22 Complex Numbers
  845.    wt: 1:   Chapter 21 Arrow Addition
  846.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  847.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  848.    wt: 1:   Chapter 16. Velocity Approximation
  849.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  850.    wt: 1:   Chapter 13. Acceleration
  851.    wt: 1:   Chapter 12. Units and Slopes
  852.    wt: 1:   Chapter 11. Graphing Slope versus Position
  853.    wt: 1:   Chapter 10 Slopes and Units
  854.    wt: 1:   Chapter 8. Slope Interpretation
  855.    wt: 1:   Chapter 7 Slopes and Velocity
  856.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  857.    wt: 1:   Chapter 4. More Slope Sign Analysis
  858.    wt: 1:   Chapter 3. Slope Sign Analysis
  859.    wt: 1:   Chapter 2. Slopes and Ski Trails
  860.    wt: 1:   Chapter 1.Introduction
  861.    wt: 1:   Foreword
  862.    wt: 1:   Postscript More on Better Performance
  863.    wt: 1:   Postscript For Better Performance
  864.    wt: 1:   Appendix E. How To Study Mathematics and Why
  865.    wt: 1:   Postscript What is a Variable
  866.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  867.    wt: 1:   Annotated Links to Material Elsehwere
  868.    wt: 1:   Postscript A Story Telling
  869.    wt: 1:   O On Learning Mathematics and Science
  870.    wt: 1:   H more Routine to non routine problem solving
  871.    wt: 1:   E. When and how to correct errors
  872.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  873.    wt: 1:   Helping the Blind in Logic and Mathematics
  874.    wt: 1:   Mathematics Education References
  875.    wt: 1:   Mathematics Education References
  876.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  877.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  878.    wt: 1:   Which Way To Go
  879.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  880.    wt: 1:   Road Safety Questions
  881.    wt: 10:   5 Area Under Curve Exercise

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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