Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
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Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
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Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

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  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   13 Vectors/
  3.    wt: 3:   3 Cartesian and Polar Coordinates/
  4.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  6.    wt: 2:   3 Quadratics Geometrically/
  7.    wt: 2:   6 Trigonometry first steps/
  8.    wt: 2:   1 Maps Plans Measurement/
  9.    wt: 2:   3 Prime Factorization Skills/
  10.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  11.    wt: 2:   4 Lessons on Using Derivatives/
  12.    wt: 2:   38 Lessons on Calculating Derivatives/
  13.    wt: 2:   13 Lessons on Limits and Continuity/
  14.    wt: 1:   LAMP Lean Applied Mathematics Program/
  15.    wt: 1:   Volume 1A Regles et modeles/
  16.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  17.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  18.    wt: 1:   12 Function Translating and Rescaling/
  19.    wt: 1:   11 Parallel Straight Lines and Transversals/
  20.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  21.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  22.    wt: 1:   8 Unit Circle Trigonometry/
  23.    wt: 1:   7 Complex Numbers/
  24.    wt: 1:   5 What is Similarity/
  25.    wt: 1:   4 Lines and Slopes Take 1/
  26.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  27.    wt: 1:   Geometry maps plans trigonometry vectors/
  28.    wt: 1:   Step 4 Gaussian Elimination/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   Step 1 Stick diagram and fractions/
  31.    wt: 1:   3 Solving Linear Equations/
  32.    wt: 1:   C Decimal Multiplication Methods/
  33.    wt: 1:   5 Lessons on Integration/
  34.    wt: 1:   70 Calculus Starter Lessons/
  35.    wt: 1:   Volume 2 Three Skills For Algebra/
  36.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  37.    wt: 1:   Volume 1A Pattern Based Reason/
  38.    wt: 1:   Volume 1 Elements of Reason/
  39.    wt: 1:   Work and Study Tips/
  40.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

215 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  3.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 2:   32 seven rows of pascals triangle
  6.    wt: 2:   11 Triangle Inequality
  7.    wt: 2:   3 Isometry of Triangles Congruence
  8.    wt: 2:   3 Lengths and Areas on Maps and Plans
  9.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  10.    wt: 2:   3 Triangle Area Formula Example
  11.    wt: 2:   3 signed coordinates for maps and planes
  12.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  13.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  14.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  15.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  16.    wt: 2:   A Related Material in Volume 3
  17.    wt: 2:   A Related lessons in Volume 3
  18.    wt: 2:   33 Chain Rule Real Player video examples
  19.    wt: 2:   .H2 Lipshitz Conditions Integration Calculus Reform
  20.    wt: 2:   Fall 1983 Calculus Appetizer
  21.    wt: 1:   Skills Chapter 5 Calculus
  22.    wt: 1:   Skills Chapter 3 Algebra
  23.    wt: 1:   3 Euclidean Geometry Leanly
  24.    wt: 1:   Maps Plans Drawings
  25.    wt: 1:   teaching tips
  26.    wt: 1:   05 13 OldSiteEntrancePage
  27.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  28.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  29.    wt: 1:   3 Energy Power Heat08
  30.    wt: 1:   C Energy Power03
  31.    wt: 1:   E Wire Resistance Calculation03
  32.    wt: 1:   3 Like resistors in parallel
  33.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  34.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  35.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  36.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  37.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  38.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  39.    wt: 1:   16 Secondary Mathematics Tips
  40.    wt: 1:   13 Addition and Addition Tables
  41.    wt: 1:   3 Preparing for Science Studies
  42.    wt: 1:   Ages 3 plus to 4 plus
  43.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  44.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  45.    wt: 1:   sign monoticity analysis example 3
  46.    wt: 1:   23 Inverse Functions
  47.    wt: 1:   13 From one to one to many to one
  48.    wt: 1:   3 Formula or function graphing exercise
  49.    wt: 1:   3 quadratics factoring by inspection
  50.    wt: 1:   Quadratics in 10 steps
  51.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  52.    wt: 1:   3 Polynomials Multiplication Addition
  53.    wt: 1:   13 cosecant function Definition Graph and Inverse
  54.    wt: 1:   3 Left Inverse of cosine arccos definition
  55.    wt: 1:   7 Radian Measures in special Triangles
  56.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  57.    wt: 1:   13 Velocity Vectors in Physics
  58.    wt: 1:   3 Navigation with Arrows or Vectors
  59.    wt: 1:   3 graphing y=f(x c) plus K
  60.    wt: 1:   Triangle Angles Sum To 180 Degrees
  61.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  62.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  63.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  64.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  65.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  66.    wt: 1:   31 basic secant cosecant cotangent trig identities
  67.    wt: 1:   30 unit circle calculation of six trigonometric functions
  68.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  69.    wt: 1:   16 Right Triangle Complementary Angle Relations
  70.    wt: 1:   13 Graph of tangent function many periods
  71.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  72.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  73.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  74.    wt: 1:   13 Trig Formulas for dot and cross Products
  75.    wt: 1:   3 Addition Properties
  76.    wt: 1:   8 Triangles Cascade Problem Solving
  77.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  78.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  79.    wt: 1:   3 Trigonometric Ratios sine and cosine
  80.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  81.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  82.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  83.    wt: 1:   12 Triangles Similarity More Problems
  84.    wt: 1:   11 Triangle Similarity Missing Side Problem
  85.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  86.    wt: 1:   9 Similarity of Triangles Usual Criteria
  87.    wt: 1:   8 Similarity of Triangles and Polygons
  88.    wt: 1:   3 Similarity by Design with coordinates
  89.    wt: 1:   3 Slope product for perpendicular lines
  90.    wt: 1:   13 Pythagorean spatial distance formulas
  91.    wt: 1:   3 Rectangular Coordinates Review
  92.    wt: 1:   PS H Distributive Law For Complex Numbers
  93.    wt: 1:   PS G Rotation Distributes over Addition
  94.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  95.    wt: 1:   PS E Multiplication with Polar Coordinates
  96.    wt: 1:   PS D Addition with Cartesian Coordinates
  97.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  98.    wt: 1:   PS B Parallelogram Construction Methods
  99.    wt: 1:   PS A Kite Construction Methods
  100.    wt: 1:   19 Right Triangle Similarity
  101.    wt: 1:   18 Triangle Similarity Take 1
  102.    wt: 1:   17 Right Bisectors of Triangle Sides
  103.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  104.    wt: 1:   13 Angle Side Angle Failure
  105.    wt: 1:   11 Triangle Construction Fails
  106.    wt: 1:   8 Isoceles Triangles
  107.    wt: 1:   2 Correspondence between Triangles
  108.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  109.    wt: 1:   6 Figuring with Maps Not to Scale
  110.    wt: 1:   4 Angles on Maps Plans drawn to scale
  111.    wt: 1:   23 Distributive Law Two Derivations
  112.    wt: 1:   13 Arrows and Vectors in a Plane
  113.    wt: 1:   3 Location of Point in Decimal Multiplication
  114.    wt: 1:   4 Commutative Law Groups Counting Form
  115.    wt: 1:   3 Multiplicative Counting Skills Principles
  116.    wt: 1:   3 Inequalities Algebraically
  117.    wt: 1:   3 Proportionality Examples
  118.    wt: 1:   5 Triangle Area Formula Backwards
  119.    wt: 1:   3 Linear Equation Literal Solution More
  120.    wt: 1:   3 Product Axioms Two Forms
  121.    wt: 1:   3 More and Less Than with Unlike Signs
  122.    wt: 1:   13 Real Number Subtraction
  123.    wt: 1:   8 Coordinates for Maps and Planes
  124.    wt: 1:   3 Fractions
  125.    wt: 1:   3 Geometric Formulas and Function Notation
  126.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  127.    wt: 1:   3 GE III Equation Addition and Multiplication
  128.    wt: 1:   3 Solving triangular system example
  129.    wt: 1:   3 Four Examples
  130.    wt: 1:   3 Two Examples
  131.    wt: 1:   13 Naming Identifying Formulas with Words
  132.    wt: 1:   11 Volume of Sphere
  133.    wt: 1:   10 Volume of Pyramid
  134.    wt: 1:   9 Volume of Cone
  135.    wt: 1:   5 Box Volume Formula Example
  136.    wt: 1:   3 Counting with Sets etc
  137.    wt: 1:   3 Adding Words To Arithmetic
  138.    wt: 1:   3 Comparison of Negative Numbers
  139.    wt: 1:   3 Properties of Square Roots with example
  140.    wt: 1:   13 GCD from given Prime Factorization
  141.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  142.    wt: 1:   3 Counting with Tables and Trees II
  143.    wt: 1:   3 Multiplying Units and Numbers
  144.    wt: 1:   13 Fraction Comparison Algebraic View
  145.    wt: 1:   3 Unit fraction of a fraction
  146.    wt: 1:   13 Subtraction with Additive Inverse
  147.    wt: 1:   3 Adding Movements with same direction
  148.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  149.    wt: 1:   26 Divisibility by 2 3 5 Example
  150.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  151.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  152.    wt: 1:   23 Remainder Arithmetic Modulo 2
  153.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  154.    wt: 1:   21 Remainder Arithmetic Modulo 3
  155.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  156.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  157.    wt: 1:   13 video Factors of 24 using prime
  158.    wt: 1:   10 video Prime Factorization upto 23 squared
  159.    wt: 1:   3 video Primes and Composites from 9 times table
  160.    wt: 1:   Long Division forwards and backwards Example 3
  161.    wt: 1:   3 Division Single Digit Divisor Example
  162.    wt: 1:   3 More One Digit Multipliers
  163.    wt: 1:   1 Why 3 times 5 gives 15
  164.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  165.    wt: 1:   3. How to add with decimals A sans conversions
  166.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  167.    wt: 1:   013 Travel Time Tables
  168.    wt: 1:   3 Units and Lengths of Time
  169.    wt: 1:   Example 2 volume of a cone
  170.    wt: 1:   Example 1 volume of a pyramid
  171.    wt: 1:   Volume of Solid by Cross Sections Lesson
  172.    wt: 1:   Example 3
  173.    wt: 1:   3 Two Chain Rule Method Exercises
  174.    wt: 1:   3 Second derivative test
  175.    wt: 1:   38 Formulas and derivatives for powers and roots
  176.    wt: 1:   36 Cube root derivative animated
  177.    wt: 1:   34 Derivative of exponential function
  178.    wt: 1:   31 Derivatives of inverse functions
  179.    wt: 1:   30Chain Rule A Proof
  180.    wt: 1:   23 Chain Rule in general
  181.    wt: 1:   15 sine and cosine derivatives 3rd step
  182.    wt: 1:   13 sine and cosine derivatives 1st step
  183.    wt: 1:   3 Motivation for Limit Definition Take 2
  184.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  185.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  186.    wt: 1:   5 Jumps and absence of unlimited error control
  187.    wt: 1:   3 Decimal insights for limits continuity convergence
  188.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  189.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  190.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  191.    wt: 1:   G.3 Constant Difference Theorem Proof
  192.    wt: 1:   F.3 Intermediate Value Theorem
  193.    wt: 1:   C Triangle Inequalities
  194.    wt: 1:   B3 Bolzano Weierstrass Theorem
  195.    wt: 1:   Chapter 23 Links To Trigonometry
  196.    wt: 1:   Chapter 13. Acceleration
  197.    wt: 1:   Chapter 9 About First Courses in Calculus
  198.    wt: 1:   Chapter 3. Slope Sign Analysis
  199.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  200.    wt: 1:   Chapter 31 Direct and Indirect Reason
  201.    wt: 1:   Chapter 30 Truth Tables
  202.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  203.    wt: 1:   Chapter 23. Notation For Sums
  204.    wt: 1:   Chapter 13. Second Reading Guide
  205.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  206.    wt: 1:   Chapter 3 Chains of Reason
  207.    wt: 1:   Chapter 3 Algebra Difficulties
  208.    wt: 1:   Chapter 23 Truth Tables
  209.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  210.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  211.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  212.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  213.    wt: 1:   More Algebra and Slope based Calculus Preview
  214.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  215.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

718 matches:

  1.    wt: 8:   .H2 Lipshitz Conditions Integration Calculus Reform
  2.    wt: 8:   B3 Bolzano Weierstrass Theorem
  3.    wt: 7:   .H1 First Fundamental Theorem of Calculus
  4.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  5.    wt: 7:   G.4 Lipschitz Continuity implies EquiContinuity
  6.    wt: 7:   G.3 Constant Difference Theorem Proof
  7.    wt: 7:   F.5a Equicontinuity Theorems
  8.    wt: 7:   F.3 Intermediate Value Theorem
  9.    wt: 7:   C Triangle Inequalities
  10.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  11.    wt: 6:   G.5 Motions With Bounded Velocities
  12.    wt: 6:   G.2 Differentiable Functions Mean Value Theorem
  13.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  14.    wt: 6:   F.5b Extreme Value Theorem
  15.    wt: 6:   F.4 Finite Covering Theorem
  16.    wt: 6:   F.2 Closed Range Theorem
  17.    wt: 6:   F.1 What Functions are Continuous
  18.    wt: 6:   E2 Algebraic Properties of Limits
  19.    wt: 6:   E1 Error Control Inequalities
  20.    wt: 6:   D2 Limits of Monotone Sequences
  21.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  22.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  23.    wt: 6:   PostScript For and Against Decimal Perspectives
  24.    wt: 6:   A1. Introduction
  25.    wt: 6:   index
  26.    wt: 5:   13 Velocity Vectors in Physics
  27.    wt: 5:   3 Navigation with Arrows or Vectors
  28.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  29.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  30.    wt: 5:   13 Pythagorean spatial distance formulas
  31.    wt: 5:   11 Triangle Inequality
  32.    wt: 5:   3 Rectangular Coordinates Review
  33.    wt: 5:   3 Solving triangular system example
  34.    wt: 5:   Chapter 23 Links To Trigonometry
  35.    wt: 5:   Chapter 13. Acceleration
  36.    wt: 5:   Chapter 3. Slope Sign Analysis
  37.    wt: 5:   Fall 1983 Calculus Appetizer
  38.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  39.    wt: 4:   32 seven rows of pascals triangle
  40.    wt: 4:   3 Isometry of Triangles Congruence
  41.    wt: 4:   3 Lengths and Areas on Maps and Plans
  42.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  43.    wt: 4:   13 video Factors of 24 using prime
  44.    wt: 4:   3 video Primes and Composites from 9 times table
  45.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  46.    wt: 4:   Example 3
  47.    wt: 4:   A Related lessons in Volume 3
  48.    wt: 4:   33 Chain Rule Real Player video examples
  49.    wt: 4:   31 Derivatives of inverse functions
  50.    wt: 4:   Chapter 9 About First Courses in Calculus
  51.    wt: 3:   Skills Chapter 3 Algebra
  52.    wt: 3:   3 quadratics factoring by inspection
  53.    wt: 3:   Quadratics in 10 steps
  54.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  55.    wt: 3:   A Global Time and Navigation
  56.    wt: 3:   15 Dot and Cross Product
  57.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  58.    wt: 3:   12 From Applied To Pure Mathematics
  59.    wt: 3:   11 Component Method
  60.    wt: 3:   10 Parallelogram Addition Method
  61.    wt: 3:   9 Head to Tail Coordinate View
  62.    wt: 3:   8 Parallel Vectors
  63.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  64.    wt: 3:   6 Vectors with Coordinates
  65.    wt: 3:   5 Head To Tail Arrow Addition
  66.    wt: 3:   4 Resultant of a Sum of Movements
  67.    wt: 3:   2 Signed Coordinates
  68.    wt: 3:   1 Unsigned Coordinates
  69.    wt: 3:   Vector and Complex Number Applet
  70.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  71.    wt: 3:   12 Straight Lines Graphing mx plus b
  72.    wt: 3:   31 basic secant cosecant cotangent trig identities
  73.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  74.    wt: 3:   13 Trig Formulas for dot and cross Products
  75.    wt: 3:   3 Addition Properties
  76.    wt: 3:   8 Triangles Cascade Problem Solving
  77.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  78.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  79.    wt: 3:   3 Trigonometric Ratios sine and cosine
  80.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  81.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  82.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  83.    wt: 3:   3 Similarity by Design with coordinates
  84.    wt: 3:   3 Slope product for perpendicular lines
  85.    wt: 3:   12 Spatial Coordinates
  86.    wt: 3:   10 Pythagorean plane distance formula
  87.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  88.    wt: 3:   8 Distance Between Points on a Line
  89.    wt: 3:   7 Complex Numbers Appetizer
  90.    wt: 3:   6 Polar Multiplication and Rotation
  91.    wt: 3:   5 Cartesian Addition and Translation
  92.    wt: 3:   4 Polar Coordinates to and from
  93.    wt: 3:   2 Cartesian Coordinates with signs
  94.    wt: 3:   1 Cartesian Coordinates sans signs
  95.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  96.    wt: 3:   13 Angle Side Angle Failure
  97.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  98.    wt: 3:   6 Figuring with Maps Not to Scale
  99.    wt: 3:   4 Angles on Maps Plans drawn to scale
  100.    wt: 3:   3 GE III Equation Addition and Multiplication
  101.    wt: 3:   4 Solving a triangular system exercise
  102.    wt: 3:   2 Essentially one exercises three with solution
  103.    wt: 3:   1 Essentially One Unknown
  104.    wt: 3:   3 Four Examples
  105.    wt: 3:   3 Two Examples
  106.    wt: 3:   10 video Prime Factorization upto 23 squared
  107.    wt: 3:   3 More One Digit Multipliers
  108.    wt: 3:   Example 2 volume of a cone
  109.    wt: 3:   Example 1 volume of a pyramid
  110.    wt: 3:   Volume of Solid by Cross Sections Lesson
  111.    wt: 3:   Example 4 with x function of y
  112.    wt: 3:   Example 2
  113.    wt: 3:   Example 1
  114.    wt: 3:   A Related Material in Volume 3
  115.    wt: 3:   3 Second derivative test
  116.    wt: 3:   2 Second derivative test prequel
  117.    wt: 3:   38 Formulas and derivatives for powers and roots
  118.    wt: 3:   36 Cube root derivative animated
  119.    wt: 3:   34 Derivative of exponential function
  120.    wt: 3:   30Chain Rule A Proof
  121.    wt: 3:   23 Chain Rule in general
  122.    wt: 3:   22 Chain Rule for polynomials
  123.    wt: 3:   15 sine and cosine derivatives 3rd step
  124.    wt: 3:   13 sine and cosine derivatives 1st step
  125.    wt: 3:   12 Quotient rule examples
  126.    wt: 3:   5 Product Rule
  127.    wt: 3:   3 Motivation for Limit Definition Take 2
  128.    wt: 3:   1 Fall 1983 Why Slopes Appetizer
  129.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  130.    wt: 3:   5 Jumps and absence of unlimited error control
  131.    wt: 3:   4 Numerical properties
  132.    wt: 3:   3 Decimal insights for limits continuity convergence
  133.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  134.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  135.    wt: 3:   Chapter 22 Complex Numbers
  136.    wt: 3:   Chapter 21 Arrow Addition
  137.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  138.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  139.    wt: 3:   Chapter 18. Slopes Areas Integration
  140.    wt: 3:   Chapter 17. Area Approximation
  141.    wt: 3:   Chapter 16. Velocity Approximation
  142.    wt: 3:   Chapter 15. Slope Approximation
  143.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  144.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  145.    wt: 3:   Chapter 12. Units and Slopes
  146.    wt: 3:   Chapter 11. Graphing Slope versus Position
  147.    wt: 3:   Chapter 10 Slopes and Units
  148.    wt: 3:   Chapter 8. Slope Interpretation
  149.    wt: 3:   Chapter 7 Slopes and Velocity
  150.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  151.    wt: 3:   Chapter 5. Slope Sign Tests
  152.    wt: 3:   Chapter 4. More Slope Sign Analysis
  153.    wt: 3:   Chapter 2. Slopes and Ski Trails
  154.    wt: 3:   Chapter 1.Introduction
  155.    wt: 3:   Foreword
  156.    wt: 3:   Chapter 31 Direct and Indirect Reason
  157.    wt: 3:   Chapter 30 Truth Tables
  158.    wt: 3:   Chapter 23. Notation For Sums
  159.    wt: 3:   Chapter 13. Second Reading Guide
  160.    wt: 3:   Chapter 3 Chains of Reason
  161.    wt: 3:   Chapter 3 Algebra Difficulties
  162.    wt: 3:   Chapter 23 Truth Tables
  163.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  164.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  165.    wt: 3:   More Algebra and Slope based Calculus Preview
  166.    wt: 3:   Systematic Algebra Skill Development Missing Links
  167.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  168.    wt: 2:   Skills Chapter 5 Calculus
  169.    wt: 2:   Ramblings Extrinsic numbers theory
  170.    wt: 2:   Ramblings Introduction Algebra Essay
  171.    wt: 2:   3 Euclidean Geometry Leanly
  172.    wt: 2:   Education Reform Inconsistencies
  173.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  174.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  175.    wt: 2:   C Energy Power03
  176.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  177.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  178.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  179.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  180.    wt: 2:   13 Addition and Addition Tables
  181.    wt: 2:   3 Preparing for Science Studies
  182.    wt: 2:   Ages 3 plus to 4 plus
  183.    wt: 2:   sign monoticity analysis example 3
  184.    wt: 2:   23 Inverse Functions
  185.    wt: 2:   13 From one to one to many to one
  186.    wt: 2:   3 Formula or function graphing exercise
  187.    wt: 2:   A Quadratics Summary
  188.    wt: 2:   10 quadratic exercises
  189.    wt: 2:   9 quadratics physical and further context
  190.    wt: 2:   8 quadratics backward use of various formulas
  191.    wt: 2:   7 quadratic formulla derivation
  192.    wt: 2:   6 quadratics numerical approach
  193.    wt: 2:   5 quadratics completing the square
  194.    wt: 2:   4 quadratics difference of two squares
  195.    wt: 2:   2 quadratics graphing in general
  196.    wt: 2:   1 quadratics graphing exercises
  197.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  198.    wt: 2:   13 cosecant function Definition Graph and Inverse
  199.    wt: 2:   3 Left Inverse of cosine arccos definition
  200.    wt: 2:   7 Radian Measures in special Triangles
  201.    wt: 2:   3 graphing y=f(x c) plus K
  202.    wt: 2:   Triangle Angles Sum To 180 Degrees
  203.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  204.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  205.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  206.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  207.    wt: 2:   Straight Lines Intersection of
  208.    wt: 2:   14 Straight Lines Equations General Case
  209.    wt: 2:   11 Straight Lines Graphing y=mx
  210.    wt: 2:   10 Straight Lines through Origin Equations More
  211.    wt: 2:   9 Straight Lines through Origin Equations
  212.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  213.    wt: 2:   30 unit circle calculation of six trigonometric functions
  214.    wt: 2:   24 tangent Angle Difference Formula
  215.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  216.    wt: 2:   16 Right Triangle Complementary Angle Relations
  217.    wt: 2:   15 sine cosine Complementary Angle Relations
  218.    wt: 2:   13 Graph of tangent function many periods
  219.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  220.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  221.    wt: 2:   7 Trignometric Ratios Unit Circle
  222.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  223.    wt: 2:   1 Angle Measurement with Degrees
  224.    wt: 2:   Why Trigonometry the whyslopes view
  225.    wt: 2:   12 Triangles Similarity More Problems
  226.    wt: 2:   11 Triangle Similarity Missing Side Problem
  227.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  228.    wt: 2:   9 Similarity of Triangles Usual Criteria
  229.    wt: 2:   8 Similarity of Triangles and Polygons
  230.    wt: 2:   6 Geometric Diagrams in Class
  231.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  232.    wt: 2:   PS H Distributive Law For Complex Numbers
  233.    wt: 2:   PS G Rotation Distributes over Addition
  234.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  235.    wt: 2:   PS E Multiplication with Polar Coordinates
  236.    wt: 2:   PS D Addition with Cartesian Coordinates
  237.    wt: 2:   PS B Parallelogram Construction Methods
  238.    wt: 2:   PS A Kite Construction Methods
  239.    wt: 2:   19 Right Triangle Similarity
  240.    wt: 2:   18 Triangle Similarity Take 1
  241.    wt: 2:   17 Right Bisectors of Triangle Sides
  242.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  243.    wt: 2:   11 Triangle Construction Fails
  244.    wt: 2:   8 Isoceles Triangles
  245.    wt: 2:   2 Correspondence between Triangles
  246.    wt: 2:   A Measurement with Ruler Proper Use
  247.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  248.    wt: 2:   2 Measuring Area Directly
  249.    wt: 2:   1 Length Measurement
  250.    wt: 2:   23 Distributive Law Two Derivations
  251.    wt: 2:   3 Multiplicative Counting Skills Principles
  252.    wt: 2:   3 Proportionality Examples
  253.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  254.    wt: 2:   3 Triangle Area Formula Example
  255.    wt: 2:   3 Comparison of Negative Numbers
  256.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  257.    wt: 2:   3 signed coordinates for maps and planes
  258.    wt: 2:   3 Unit fraction of a fraction
  259.    wt: 2:   3 Adding Movements with same direction
  260.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  261.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  262.    wt: 2:   20 Uniqueness of Prime Factorization
  263.    wt: 2:   19 video Prime Factorization Unique
  264.    wt: 2:   18 video Count Factors given Prime Factorization
  265.    wt: 2:   17 Identify and Count Factors using Primes
  266.    wt: 2:   16 video Factors of 980 using prime
  267.    wt: 2:   15 video Factors of 20 using Prime Factorization
  268.    wt: 2:   14 video Factors of 24 Take II
  269.    wt: 2:   12 LCD GCD and LCM using Primes
  270.    wt: 2:   11 Efficient Square Rule Use
  271.    wt: 2:   9 video Prime Factorization upto 19 squared
  272.    wt: 2:   8 video Prime Factorization upto 19
  273.    wt: 2:   7 Calculator Usage Notes and Cautions
  274.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  275.    wt: 2:   5 Prime Factorization and a Square Rule
  276.    wt: 2:   4 video Prime Factorization Introduction
  277.    wt: 2:   2 Prime and Composites less than 16
  278.    wt: 2:   1 video how Products are bigger than factor
  279.    wt: 2:   3 Division Single Digit Divisor Example
  280.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  281.    wt: 2:   1 Why 3 times 5 gives 15
  282.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  283.    wt: 2:   3. How to add with decimals A sans conversions
  284.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  285.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  286.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  287.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  288.    wt: 2:   Example 1. Area Between x and x squared
  289.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  290.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  291.    wt: 2:   Area Between Curves Lesson Take 2
  292.    wt: 2:   Area Between Curves Lesson Take 1
  293.    wt: 2:   Summary
  294.    wt: 2:   3 Two Chain Rule Method Exercises
  295.    wt: 2:   4 Second derivative test exercise example
  296.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  297.    wt: 2:   A Chain Rule Real Player video examples
  298.    wt: 2:   29 Chain Rule Optional Reading
  299.    wt: 2:   28 Chain Rule Preparation for a Proof
  300.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  301.    wt: 2:   26 Chain Rule Recognising outer inner functions
  302.    wt: 2:   25 Chain Rule Animated Examples Continued
  303.    wt: 2:   24 Chain Rule Animated Examples
  304.    wt: 2:   21 Chain Rule for powers
  305.    wt: 2:   20 Chain Rule for Pulley Systems
  306.    wt: 2:   19 Chain Rule for linear functions
  307.    wt: 2:   18 Chain Rule Introduction
  308.    wt: 2:   17 Derivatives of quotients of sine and cosine
  309.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  310.    wt: 2:   14 sine and cosine derivatives 2nd step
  311.    wt: 2:   11 Quotient rule
  312.    wt: 2:   10 Power rule for negative integers
  313.    wt: 2:   9 Reciprocal rule
  314.    wt: 2:   8 Differentiation of polynomials
  315.    wt: 2:   7 Animated Differentiation Examples
  316.    wt: 2:   6 Power rule from product rule
  317.    wt: 2:   4 Sum Rule
  318.    wt: 2:   2 Motivation for Limit Definition Take 1
  319.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  320.    wt: 2:   11 Limits at infinity Three Examples
  321.    wt: 2:   10 Three one sided limits with infinite values
  322.    wt: 2:   9 Limits Continuity and Composition
  323.    wt: 2:   8 Four Animated Examples
  324.    wt: 2:   7 Evaluation by immediate or delayed substitution
  325.    wt: 2:   6 Continuity at a point
  326.    wt: 2:   2 Algebraic codification
  327.    wt: 2:   1 Numerical introduction
  328.    wt: 2:   Appendix C. How to Read
  329.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  330.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  331.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  332.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  333.    wt: 2:   Postscript A Three Remarks
  334.    wt: 2:   M Words to extend arithmetic
  335.    wt: 2:   C. Domino effect of being careful
  336.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  337.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  338.    wt: 2:   Implementation Notes
  339.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  340.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  341.    wt: 1:   Appendix 2 primary school Arithmetic 01
  342.    wt: 1:   Appendix 1 primary and preschool mathematic
  343.    wt: 1:   K LAMP Musings Science Education
  344.    wt: 1:   J LAMP Introduction Extrinsic Origins
  345.    wt: 1:   I LAMP Introduction Study Habits
  346.    wt: 1:   H LAMP Introduction Instructional Concepts
  347.    wt: 1:   G LAMP Introduction Problem Solving Skills
  348.    wt: 1:   F LAMP Introduction Prerequisites
  349.    wt: 1:   E LAMP Introduction Modern Mathematics
  350.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  351.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  352.    wt: 1:   A Introduction Objectives
  353.    wt: 1:   Skills Chapter 4 Logic
  354.    wt: 1:   Skills Chapter 2 Geometry
  355.    wt: 1:   Skills Chapter 1 Arithmetic
  356.    wt: 1:   Skills Chapter 0 Introduction
  357.    wt: 1:   permissions for teachers
  358.    wt: 1:   Math Ed if it must be short make it lean effective
  359.    wt: 1:   modern education
  360.    wt: 1:   learning takes time
  361.    wt: 1:   grouping students according to ability
  362.    wt: 1:   what should be learnt and When
  363.    wt: 1:   mathematics in context
  364.    wt: 1:   Postscript 2007 01 10
  365.    wt: 1:   five decades make a difference
  366.    wt: 1:   Maps Plans Drawings
  367.    wt: 1:   teaching tips
  368.    wt: 1:   teaching tutoring algebraic reason
  369.    wt: 1:   the trouble with algebra
  370.    wt: 1:   05 13 OldSiteEntrancePage
  371.    wt: 1:   Theory of Knowledge
  372.    wt: 1:   Different Kinds of Reasoning in maths
  373.    wt: 1:   chapitre 12 00 les iles et division
  374.    wt: 1:   chapitre 07 01 principle D induction mathematique
  375.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  376.    wt: 1:   chapitre 06 00 Chaines de la raison
  377.    wt: 1:   chapitre 05 00 Deception
  378.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  379.    wt: 1:   chapitre 04 09 Regles accidentelles
  380.    wt: 1:   chapitre 04 08 Limitations et benefices
  381.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  382.    wt: 1:   chapitre 04 06 engagements
  383.    wt: 1:   chapitre 04 05 Implication versus suggestion
  384.    wt: 1:   chapitre 04 04 Parlons de la logique
  385.    wt: 1:   chapitre 04 02 Deuxieme enigme
  386.    wt: 1:   chapitre 04 01 Premiere enigme
  387.    wt: 1:   chapitre 04 00 Les regles d implication
  388.    wt: 1:   chapitre 02 00 La Communication des idees
  389.    wt: 1:   chapitre 01 00 Introduction
  390.    wt: 1:   liens
  391.    wt: 1:   3 Energy Power Heat08
  392.    wt: 1:   E Wire Resistance Calculation03
  393.    wt: 1:   A Wire Resistance Qualitative01
  394.    wt: 1:   3 Like resistors in parallel
  395.    wt: 1:   B Electromotive force conventional current01
  396.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  397.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  398.    wt: 1:   16 Secondary Mathematics Tips
  399.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  400.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  401.    wt: 1:   3 Polynomials Multiplication Addition
  402.    wt: 1:   16 cotangent function Definition Graph and Inverse
  403.    wt: 1:   15 cosecant function Definition Graph and Inverse
  404.    wt: 1:   14 secant function Definition Graph and Inverse
  405.    wt: 1:   12 motivation for term arctan
  406.    wt: 1:   11 arctan left inverse of tangent Graph
  407.    wt: 1:   10 arctan left inverse of tangent Definition
  408.    wt: 1:   9 motivation for name arcsin
  409.    wt: 1:   8 arcsin left inverse of sine Graph
  410.    wt: 1:   7 arcsin left inverse of sine Definition
  411.    wt: 1:   6 Graph of arccos function
  412.    wt: 1:   5 Swapping Coordinates is a reflection
  413.    wt: 1:   4 possible motivation for term arccos
  414.    wt: 1:   2 cosine function more properties
  415.    wt: 1:   1 cosine function properties
  416.    wt: 1:   9 Summary Degrees to Radians and back
  417.    wt: 1:   8 Radian Measures of Common Angles
  418.    wt: 1:   6 Radian Measure to Degrees
  419.    wt: 1:   5 Degrees to Radian Measure
  420.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  421.    wt: 1:   2 Radian Measure Numerical Value of one degree
  422.    wt: 1:   1 Degrees and Radians Introduction
  423.    wt: 1:   4 graphing y=Asin(x c)
  424.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  425.    wt: 1:   1 graphing y=f(x a)
  426.    wt: 1:   Parallel Lines and Parallel Transversals
  427.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  428.    wt: 1:   Parallel Lines and Interior Angles
  429.    wt: 1:   Straight Lines ASA Intersection Study More
  430.    wt: 1:   Straight Lines ASA Intersection Study
  431.    wt: 1:   Straight Lines Instersection Solving Equations
  432.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  433.    wt: 1:   C Straight Lines Slope from Coordinates
  434.    wt: 1:   B Straight Line Slope Scaling Properties More
  435.    wt: 1:   A Straight Line Slope Scaling Properties
  436.    wt: 1:   8 Straight Lines Equation for vertical
  437.    wt: 1:   7 Tangent Function is odd on this domain
  438.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  439.    wt: 1:   5 Tangent Function Graph
  440.    wt: 1:   4 Tangent Function Properties
  441.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  442.    wt: 1:   1 Straight Lines Slope Concept
  443.    wt: 1:   17 tangent function angle sum formulas
  444.    wt: 1:   29 secant cosecant and cotangent for acute angles
  445.    wt: 1:   28 Expressing products of sines cosines as sums
  446.    wt: 1:   27 Logarithmic use of products of sines and cosines
  447.    wt: 1:   26 Formulas for products of sines and cosines
  448.    wt: 1:   25 tangent double angle formula Slope connection
  449.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  450.    wt: 1:   21 sine and cosine Half Angle Formulas
  451.    wt: 1:   20 sine and cosine Double Angle Formulas
  452.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  453.    wt: 1:   18 sum of sinusoidal waves as a single wave
  454.    wt: 1:   17G Pythagorean Theorem Converse
  455.    wt: 1:   17F Law of cosines
  456.    wt: 1:   17E Trig Formulas for dot and cross Products
  457.    wt: 1:   17D cis formulas for sine cosines and tangent
  458.    wt: 1:   17C sine and cosine double triple angle formulas
  459.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  460.    wt: 1:   17A The complex number valued trig function cis
  461.    wt: 1:   14 cosine even and sine and tangent are odd
  462.    wt: 1:   12 Graph of tangent function for one period
  463.    wt: 1:   11 tangent function undefined when terminal side vertical
  464.    wt: 1:   10 Graphs of sines and cosines many periods
  465.    wt: 1:   9 Graphs of sine and cosine over one period
  466.    wt: 1:   8 period of tangent function
  467.    wt: 1:   7 period of sine and cosine
  468.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  469.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  470.    wt: 1:   2 Quadrant I reference Angles
  471.    wt: 1:   1 Unit Points Reflections Rotations
  472.    wt: 1:   Unit Circle Development of Trigonometry
  473.    wt: 1:   21 Logarithms Powers and Exponentials
  474.    wt: 1:   20 N th Roots of Complex Numbers
  475.    wt: 1:   19 N th Roots of Unity
  476.    wt: 1:   18 Sixth Roots of Unity
  477.    wt: 1:   17 Cube Roots of unity
  478.    wt: 1:   16 References and Originality Question
  479.    wt: 1:   15 Pythagorean Theorem Converse
  480.    wt: 1:   14 Law of cosines
  481.    wt: 1:   12 cis formulas for sine cosines and tangent
  482.    wt: 1:   11 sine and cosine double triple angle formulas
  483.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  484.    wt: 1:   9 The complex number valued trig function cis
  485.    wt: 1:   8 Unit Circle Development of Trigonometry
  486.    wt: 1:   7 Second Way to Calculate Products
  487.    wt: 1:   6 Field Properties of Complex Number
  488.    wt: 1:   5 An Easy Proof of the Distributive Law
  489.    wt: 1:   4 Multiplication Properties
  490.    wt: 1:   2 Complex Numbers made easier we hope
  491.    wt: 1:   1 Rectangular Polar Coordinates Review
  492.    wt: 1:   Appetizer A Complex Number Applet
  493.    wt: 1:   7 Translations Rotations Reflections Dilatations
  494.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  495.    wt: 1:   4 Similarity Definition with Coordinate
  496.    wt: 1:   2 Similarity By Design
  497.    wt: 1:   1 Early Concept of Like or Similar Shapes
  498.    wt: 1:   Four Simple Exercises
  499.    wt: 1:   12 Links Lessons elsewhere
  500.    wt: 1:   11 A Partial Summary
  501.    wt: 1:   10 Midpoint of [a b] and [b a]
  502.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  503.    wt: 1:   8 Mid Point Formula
  504.    wt: 1:   7 Exercises to test skill and concept mastery
  505.    wt: 1:   6 Intersection of lines by solving linear systems
  506.    wt: 1:   5 Algebraic View of Slopes
  507.    wt: 1:   4 Equations for lines three forms
  508.    wt: 1:   2 point slope equation for a line
  509.    wt: 1:   1 Numerical view of lines and their equations
  510.    wt: 1:   What is and is not here
  511.    wt: 1:   21 Parallelograms
  512.    wt: 1:   16 Angles Subtended By Chords and Diameters
  513.    wt: 1:   14 Parallel Lines Postulate
  514.    wt: 1:   12 Side Angle Side Failure
  515.    wt: 1:   10 Dropping a perpendicular to line
  516.    wt: 1:   9 Construction of a right bisector
  517.    wt: 1:   7 Angle Side Angle
  518.    wt: 1:   6 Ruler and compass Angle Bisection
  519.    wt: 1:   5 Side Angle Side
  520.    wt: 1:   4 Side Side Side
  521.    wt: 1:   1 Initial Concepts and Terms
  522.    wt: 1:   Short Course on Euclidean Geometry
  523.    wt: 1:   About Folder Contents
  524.    wt: 1:   26 More Less Greater Than Comparison
  525.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  526.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  527.    wt: 1:   22 Multiplication of Signed Numbers
  528.    wt: 1:   13 Arrows and Vectors in a Plane
  529.    wt: 1:   3 Location of Point in Decimal Multiplication
  530.    wt: 1:   4 Commutative Law Groups Counting Form
  531.    wt: 1:   3 Inequalities Algebraically
  532.    wt: 1:   5 Triangle Area Formula Backwards
  533.    wt: 1:   3 Linear Equation Literal Solution More
  534.    wt: 1:   3 Product Axioms Two Forms
  535.    wt: 1:   3 More and Less Than with Unlike Signs
  536.    wt: 1:   13 Real Number Subtraction
  537.    wt: 1:   8 Coordinates for Maps and Planes
  538.    wt: 1:   3 Fractions
  539.    wt: 1:   3 Geometric Formulas and Function Notation
  540.    wt: 1:   More Exercises
  541.    wt: 1:   Simple Exercises
  542.    wt: 1:   4 GE III Animated Examples
  543.    wt: 1:   2 GE II Comparison
  544.    wt: 1:   1 GE Substitution four examples
  545.    wt: 1:   6 Algebraic Solution Example
  546.    wt: 1:   5 Algebraic Solutions Introduction
  547.    wt: 1:   4 Four Examples Fractional Coefficients
  548.    wt: 1:   2 Three Examples
  549.    wt: 1:   1 Proper Equal Sign Usage
  550.    wt: 1:   Skill Development Notes
  551.    wt: 1:   10 One Example
  552.    wt: 1:   9 Three Examples
  553.    wt: 1:   8 One Example
  554.    wt: 1:   7 Two Examples
  555.    wt: 1:   6 Three Examples
  556.    wt: 1:   5 Three Examples
  557.    wt: 1:   4 Two Examples
  558.    wt: 1:   2 Three Examples
  559.    wt: 1:   Using Letters for Physical Quantities
  560.    wt: 1:   Formula Usage Show Work Format
  561.    wt: 1:   13 Naming Identifying Formulas with Words
  562.    wt: 1:   11 Volume of Sphere
  563.    wt: 1:   10 Volume of Pyramid
  564.    wt: 1:   9 Volume of Cone
  565.    wt: 1:   5 Box Volume Formula Example
  566.    wt: 1:   3 Counting with Sets etc
  567.    wt: 1:   3 Adding Words To Arithmetic
  568.    wt: 1:   3 Properties of Square Roots with example
  569.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  570.    wt: 1:   13 GCD from given Prime Factorization
  571.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  572.    wt: 1:   2 Least Common Multiple LCM intro via list method
  573.    wt: 1:   3 Counting with Tables and Trees II
  574.    wt: 1:   3 Multiplying Units and Numbers
  575.    wt: 1:   13 Fraction Comparison Algebraic View
  576.    wt: 1:   A Associative Law Theorectical Note
  577.    wt: 1:   13 Subtraction with Additive Inverse
  578.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  579.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  580.    wt: 1:   26 Divisibility by 2 3 5 Example
  581.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  582.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  583.    wt: 1:   23 Remainder Arithmetic Modulo 2
  584.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  585.    wt: 1:   21 Remainder Arithmetic Modulo 3
  586.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  587.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  588.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  589.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  590.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  591.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  592.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  593.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  594.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  595.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  596.    wt: 1:   Long Division Backward
  597.    wt: 1:   Long Division forwards and backwards Example 3
  598.    wt: 1:   D Decimal Multiplication Methods Derived
  599.    wt: 1:   C Counting Areas with Powers of Ten
  600.    wt: 1:   B Powers of Ten
  601.    wt: 1:   A Elementary Basis for Multiplication Methods
  602.    wt: 1:   6 Multiplication Commutes Order Not Important
  603.    wt: 1:   5 Decimal Fraction Multiplication
  604.    wt: 1:   4 Two and Three Digit Multipliers
  605.    wt: 1:   2 One Digit Multipliers
  606.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  607.    wt: 1:   Video Power Notation in Decimal Expansion
  608.    wt: 1:   Subtraction Another Video Lesson
  609.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  610.    wt: 1:   Expression Evaluation how to show work
  611.    wt: 1:   013 Travel Time Tables
  612.    wt: 1:   3 Units and Lengths of Time
  613.    wt: 1:   5 Area Under Curve Exercise
  614.    wt: 1:   4 Definite Integrals Evaluation Exercises
  615.    wt: 1:   2 Indefinite Integrals Exercises
  616.    wt: 1:   1 Chain Rule in Reverse Integration Method
  617.    wt: 1:   Postscript More on Better Performance
  618.    wt: 1:   Postscript For Better Performance
  619.    wt: 1:   Appendix E. How To Study Mathematics and Why
  620.    wt: 1:   Appendix D. What to do in School and Why
  621.    wt: 1:   Appendix B. How To Learn
  622.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  623.    wt: 1:   Chapter 28 Occurrence Tables
  624.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  625.    wt: 1:   Chapter 25. Mathematical Induction Examples
  626.    wt: 1:   Chapter 25. Mathematical Induction Examples
  627.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  628.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  629.    wt: 1:   Chapter 21. Third Reading Guide
  630.    wt: 1:   Chapter 20. Degrees and Radians
  631.    wt: 1:   Chapter 19. Functions and Sets
  632.    wt: 1:   Chapter 18. Rules for Algebra
  633.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  634.    wt: 1:   Chapter 16. Painless Theorem Proving
  635.    wt: 1:   Chapter 15. Solving Linear Equations
  636.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  637.    wt: 1:   Chapter 12. Shorthand Usage Guide
  638.    wt: 1:   Chapter 11. Why Shorthand
  639.    wt: 1:   Chapter 10 Describing and Changing Calculations
  640.    wt: 1:   Postscript What is a Variable
  641.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  642.    wt: 1:   Chapter 8 Three Skills For Algebra
  643.    wt: 1:   Solutions For Arithmetic Exercises
  644.    wt: 1:   Chapter 6 Change of Language
  645.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  646.    wt: 1:   Chapter 4 Longer Chains of Reason
  647.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  648.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  649.    wt: 1:   Foreword
  650.    wt: 1:   Annotated Links to Material Elsehwere
  651.    wt: 1:   Postscript B Mathematics Education References
  652.    wt: 1:   Chapter 12 Four Phases
  653.    wt: 1:   Chapter 11 Elementary Instruction
  654.    wt: 1:   Chapter 10 Transition
  655.    wt: 1:   Chapter 9 The Two Ends
  656.    wt: 1:   Chapter 8 Modern Instruction
  657.    wt: 1:   Chapter 7 Two Treatments of Geometry
  658.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  659.    wt: 1:   Chapter 5 Four References
  660.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  661.    wt: 1:   Chapter 2 For and Against Mathematics
  662.    wt: 1:   Chapter 1 Introduction
  663.    wt: 1:   Foreword
  664.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  665.    wt: 1:   Postscript C Consistency as a Tool for Reason
  666.    wt: 1:   Postscript B More on Story Telling and Reason
  667.    wt: 1:   Postscript A Story Telling
  668.    wt: 1:   Chapter 24 Direct and Indirect Reason
  669.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  670.    wt: 1:   Chapter 21 Occurrence Tables
  671.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  672.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  673.    wt: 1:   Chapter 18 Sense and Knowledge
  674.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  675.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  676.    wt: 1:   Chapter 15 Objective Processes
  677.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  678.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  679.    wt: 1:   Chapter 11 Accidental Patterns
  680.    wt: 1:   Chapter 10 Responsibility
  681.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  682.    wt: 1:   Chapter 8 Change of Language
  683.    wt: 1:   Chapter 7 Longer Chains of Reason
  684.    wt: 1:   Chapter 6 Chains of Reason
  685.    wt: 1:   Chapter 5 Deception
  686.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  687.    wt: 1:   Chapter 2 Skill Development
  688.    wt: 1:   Chapter 1 Introduction
  689.    wt: 1:   Three Remarks
  690.    wt: 1:   Foreword
  691.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  692.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  693.    wt: 1:   S Adding words to algebra
  694.    wt: 1:   R Why Learn Mathematics Skills
  695.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  696.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  697.    wt: 1:   O On Learning Mathematics and Science
  698.    wt: 1:   N Mathematics Prepare for College Studies
  699.    wt: 1:   L Skills with take home value
  700.    wt: 1:   N Improving Marks on Tests and Finals
  701.    wt: 1:   J. More on written work and showing skill
  702.    wt: 1:   I. Logic and language skills
  703.    wt: 1:   H more Routine to non routine problem solving
  704.    wt: 1:   H Jigsaw puzzles and problem solving
  705.    wt: 1:   G. Written work formats for developing and showing skill
  706.    wt: 1:   F. The student teacher tutor feedback loop
  707.    wt: 1:   E. When and how to correct errors
  708.    wt: 1:   D. Check work a must with a caution
  709.    wt: 1:   B. Domino effect of errors
  710.    wt: 1:   A. Skill has to be seen to believed
  711.    wt: 1:   How to Build Skills and Confidence
  712.    wt: 1:   Helping the Blind in Logic and Mathematics
  713.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  714.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  715.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  716.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  717.    wt: 1:   Which Way To Go
  718.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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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.

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