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

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

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

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

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

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

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

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  1.    wt: 8:   6 Trigonometry first steps/
  2.    wt: 8:   1 Maps Plans Measurement/
  3.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   8 Unit Circle Trigonometry/
  7.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 5:   12 Function Translating and Rescaling/
  10.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  18.    wt: 2:   10 Examples of Algebraic Reasoning/
  19.    wt: 2:   6 Fractions and Ratios/
  20.    wt: 2:   13 Lessons on Limits and Continuity/
  21.    wt: 1:   Mathematics Education Essays/
  22.    wt: 1:   Volume 1A Regles et modeles/
  23.    wt: 1:   3 Quadratics Geometrically/
  24.    wt: 1:   1 Five Polynomial Operations/
  25.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  26.    wt: 1:   Step 1 Stick diagram and fractions/
  27.    wt: 1:   11 Squares and Square Roots/
  28.    wt: 1:   A Decimal Counting and Adding Methods/
  29.    wt: 1:   1 Decimal Place Value/
  30.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  31.    wt: 1:   5 Lessons on Integration/
  32.    wt: 1:   4 Lessons on Using Derivatives/
  33.    wt: 1:   38 Lessons on Calculating Derivatives/
  34.    wt: 1:   70 Calculus Starter Lessons/
  35.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  36.    wt: 1:   Mathematics 506 Lessons/
  37.    wt: 1:   Secondary Mathematics A Practical Approach/

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95 matches:

  1.    wt: 3:   6 quadratics numerical approach
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   Quadratics in 10 steps
  4.    wt: 2:   4 Angles on Maps Plans drawn to scale
  5.    wt: 2:   3 Lengths and Areas on Maps and Plans
  6.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  7.    wt: 1:   10 statistics
  8.    wt: 1:   About site lesson plans
  9.    wt: 1:   Postscript 2007 01 10
  10.    wt: 1:   chapitre 06 00 Chaines de la raison
  11.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  12.    wt: 1:   chapitre 04 06 engagements
  13.    wt: 1:   1 Energy Power Heat06
  14.    wt: 1:   10 Ends values for work study instruction
  15.    wt: 1:   Ages 10 to 12 Geometry
  16.    wt: 1:   Ages 10 to 12 Arithmetic
  17.    wt: 1:   Ages 9 to 10
  18.    wt: 1:   10 Interval Notation
  19.    wt: 1:   A Quadratics Summary
  20.    wt: 1:   10 quadratic exercises
  21.    wt: 1:   9 quadratics physical and further context
  22.    wt: 1:   8 quadratics backward use of various formulas
  23.    wt: 1:   5 quadratics completing the square
  24.    wt: 1:   4 quadratics difference of two squares
  25.    wt: 1:   3 quadratics factoring by inspection
  26.    wt: 1:   2 quadratics graphing in general
  27.    wt: 1:   1 quadratics graphing exercises
  28.    wt: 1:   10 Exponential Growth and Decay Models
  29.    wt: 1:   10 arctan left inverse of tangent Definition
  30.    wt: 1:   2 Radian Measure Numerical Value of one degree
  31.    wt: 1:   13 Velocity Vectors in Physics
  32.    wt: 1:   10 Parallelogram Addition Method
  33.    wt: 1:   8 Parallel Vectors
  34.    wt: 1:   6 Vectors with Coordinates
  35.    wt: 1:   3 Navigation with Arrows or Vectors
  36.    wt: 1:   10 Straight Lines through Origin Equations More
  37.    wt: 1:   10 Graphs of sines and cosines many periods
  38.    wt: 1:   Unit Circle Development of Trigonometry
  39.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  40.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  41.    wt: 1:   8 Unit Circle Development of Trigonometry
  42.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  43.    wt: 1:   Why Trigonometry the whyslopes view
  44.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  45.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  46.    wt: 1:   10 Midpoint of [a b] and [b a]
  47.    wt: 1:   1 Numerical view of lines and their equations
  48.    wt: 1:   10 Pythagorean plane distance formula
  49.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  50.    wt: 1:   10 Dropping a perpendicular to line
  51.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  52.    wt: 1:   6 Figuring with Maps Not to Scale
  53.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  54.    wt: 1:   19 Signed Multiples of Vectors
  55.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  56.    wt: 1:   13 Arrows and Vectors in a Plane
  57.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  58.    wt: 1:   10 Real Number Lengths and Signs
  59.    wt: 1:   8 Coordinates for Maps and Planes
  60.    wt: 1:   10 One Example
  61.    wt: 1:   10 Volume of Pyramid
  62.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  63.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  64.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  65.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  66.    wt: 1:   4 LCM of 8 and 10 via Prime
  67.    wt: 1:   10 dividing signed numbers
  68.    wt: 1:   3 signed coordinates for maps and planes
  69.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  70.    wt: 1:   10 Integer Multiplication Formulas
  71.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  72.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  73.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  74.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  75.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  76.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  77.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  78.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  79.    wt: 1:   1 Remainder Arithmetic Modulo 10
  80.    wt: 1:   10 video Prime Factorization upto 23 squared
  81.    wt: 1:   10 Division by Five Long and Short Ways
  82.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  83.    wt: 1:   010 Repeated Addition of Time Intervals
  84.    wt: 1:   10 Power rule for negative integers
  85.    wt: 1:   10 Three one sided limits with infinite values
  86.    wt: 1:   4 Numerical properties
  87.    wt: 1:   1 Numerical introduction
  88.    wt: 1:   Chapter 23 Links To Trigonometry
  89.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  90.    wt: 1:   Chapter 10 Slopes and Units
  91.    wt: 1:   Chapter 10 Describing and Changing Calculations
  92.    wt: 1:   Chapter 10 Transition
  93.    wt: 1:   Chapter 10 Responsibility
  94.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  95.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

686 matches:

  1.    wt: 9:   1 Angle Measurement with Degrees
  2.    wt: 9:   Why Trigonometry the whyslopes view
  3.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  4.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  5.    wt: 8:   10 Parallelogram Addition Method
  6.    wt: 8:   6 Vectors with Coordinates
  7.    wt: 8:   10 Graphs of sines and cosines many periods
  8.    wt: 8:   8 Triangles Cascade Problem Solving
  9.    wt: 8:   7 Trignometric Ratios Unit Circle
  10.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  11.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  12.    wt: 8:   3 Trigonometric Ratios sine and cosine
  13.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  14.    wt: 8:   A Measurement with Ruler Proper Use
  15.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  16.    wt: 8:   2 Measuring Area Directly
  17.    wt: 8:   1 Length Measurement
  18.    wt: 7:   13 Velocity Vectors in Physics
  19.    wt: 7:   11 Component Method
  20.    wt: 7:   8 Parallel Vectors
  21.    wt: 7:   3 Navigation with Arrows or Vectors
  22.    wt: 7:   1 Unsigned Coordinates
  23.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  24.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  25.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  26.    wt: 7:   Straight Lines ASA Intersection Study More
  27.    wt: 7:   Straight Lines ASA Intersection Study
  28.    wt: 7:   Straight Lines Instersection Solving Equations
  29.    wt: 7:   Straight Lines Intersection of
  30.    wt: 7:   13 Graph of tangent function many periods
  31.    wt: 7:   12 Graph of tangent function for one period
  32.    wt: 7:   11 tangent function undefined when terminal side vertical
  33.    wt: 7:   9 Graphs of sine and cosine over one period
  34.    wt: 7:   8 period of tangent function
  35.    wt: 7:   7 period of sine and cosine
  36.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  37.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  38.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  39.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  40.    wt: 7:   Unit Circle Development of Trigonometry
  41.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  42.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  43.    wt: 7:   6 Field Properties of Complex Number
  44.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  45.    wt: 7:   10 Midpoint of [a b] and [b a]
  46.    wt: 7:   6 Intersection of lines by solving linear systems
  47.    wt: 7:   1 Numerical view of lines and their equations
  48.    wt: 7:   10 Pythagorean plane distance formula
  49.    wt: 7:   6 Polar Multiplication and Rotation
  50.    wt: 7:   10 Dropping a perpendicular to line
  51.    wt: 7:   6 Ruler and compass Angle Bisection
  52.    wt: 6:   6 quadratics numerical approach
  53.    wt: 6:   10 arctan left inverse of tangent Definition
  54.    wt: 6:   2 Radian Measure Numerical Value of one degree
  55.    wt: 6:   A Global Time and Navigation
  56.    wt: 6:   15 Dot and Cross Product
  57.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  58.    wt: 6:   12 From Applied To Pure Mathematics
  59.    wt: 6:   9 Head to Tail Coordinate View
  60.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  61.    wt: 6:   5 Head To Tail Arrow Addition
  62.    wt: 6:   4 Resultant of a Sum of Movements
  63.    wt: 6:   2 Signed Coordinates
  64.    wt: 6:   Vector and Complex Number Applet
  65.    wt: 6:   Parallel Lines and Parallel Transversals
  66.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  67.    wt: 6:   Triangle Angles Sum To 180 Degrees
  68.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  69.    wt: 6:   Parallel Lines and Interior Angles
  70.    wt: 6:   10 Straight Lines through Origin Equations More
  71.    wt: 6:   17 tangent function angle sum formulas
  72.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  73.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  74.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  75.    wt: 6:   32 seven rows of pascals triangle
  76.    wt: 6:   31 basic secant cosecant cotangent trig identities
  77.    wt: 6:   30 unit circle calculation of six trigonometric functions
  78.    wt: 6:   29 secant cosecant and cotangent for acute angles
  79.    wt: 6:   28 Expressing products of sines cosines as sums
  80.    wt: 6:   27 Logarithmic use of products of sines and cosines
  81.    wt: 6:   26 Formulas for products of sines and cosines
  82.    wt: 6:   25 tangent double angle formula Slope connection
  83.    wt: 6:   24 tangent Angle Difference Formula
  84.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  85.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  86.    wt: 6:   21 sine and cosine Half Angle Formulas
  87.    wt: 6:   20 sine and cosine Double Angle Formulas
  88.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  89.    wt: 6:   18 sum of sinusoidal waves as a single wave
  90.    wt: 6:   17G Pythagorean Theorem Converse
  91.    wt: 6:   17F Law of cosines
  92.    wt: 6:   17E Trig Formulas for dot and cross Products
  93.    wt: 6:   17D cis formulas for sine cosines and tangent
  94.    wt: 6:   17C sine and cosine double triple angle formulas
  95.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  96.    wt: 6:   17A The complex number valued trig function cis
  97.    wt: 6:   16 Right Triangle Complementary Angle Relations
  98.    wt: 6:   15 sine cosine Complementary Angle Relations
  99.    wt: 6:   14 cosine even and sine and tangent are odd
  100.    wt: 6:   2 Quadrant I reference Angles
  101.    wt: 6:   1 Unit Points Reflections Rotations
  102.    wt: 6:   21 Logarithms Powers and Exponentials
  103.    wt: 6:   11 sine and cosine double triple angle formulas
  104.    wt: 6:   8 Unit Circle Development of Trigonometry
  105.    wt: 6:   1 Rectangular Polar Coordinates Review
  106.    wt: 6:   11 Triangle Similarity Missing Side Problem
  107.    wt: 6:   6 Geometric Diagrams in Class
  108.    wt: 6:   2 Similarity By Design
  109.    wt: 6:   1 Early Concept of Like or Similar Shapes
  110.    wt: 6:   11 A Partial Summary
  111.    wt: 6:   11 Triangle Inequality
  112.    wt: 6:   1 Cartesian Coordinates sans signs
  113.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  114.    wt: 6:   PS A Kite Construction Methods
  115.    wt: 6:   21 Parallelograms
  116.    wt: 6:   11 Triangle Construction Fails
  117.    wt: 6:   1 Initial Concepts and Terms
  118.    wt: 5:   16 cotangent function Definition Graph and Inverse
  119.    wt: 5:   15 cosecant function Definition Graph and Inverse
  120.    wt: 5:   14 secant function Definition Graph and Inverse
  121.    wt: 5:   13 cosecant function Definition Graph and Inverse
  122.    wt: 5:   12 motivation for term arctan
  123.    wt: 5:   11 arctan left inverse of tangent Graph
  124.    wt: 5:   9 motivation for name arcsin
  125.    wt: 5:   8 arcsin left inverse of sine Graph
  126.    wt: 5:   7 arcsin left inverse of sine Definition
  127.    wt: 5:   6 Graph of arccos function
  128.    wt: 5:   5 Swapping Coordinates is a reflection
  129.    wt: 5:   4 possible motivation for term arccos
  130.    wt: 5:   3 Left Inverse of cosine arccos definition
  131.    wt: 5:   2 cosine function more properties
  132.    wt: 5:   1 cosine function properties
  133.    wt: 5:   9 Summary Degrees to Radians and back
  134.    wt: 5:   8 Radian Measures of Common Angles
  135.    wt: 5:   7 Radian Measures in special Triangles
  136.    wt: 5:   6 Radian Measure to Degrees
  137.    wt: 5:   5 Degrees to Radian Measure
  138.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  139.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  140.    wt: 5:   1 Degrees and Radians Introduction
  141.    wt: 5:   4 graphing y=Asin(x c)
  142.    wt: 5:   3 graphing y=f(x c) plus K
  143.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  144.    wt: 5:   1 graphing y=f(x a)
  145.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  146.    wt: 5:   C Straight Lines Slope from Coordinates
  147.    wt: 5:   B Straight Line Slope Scaling Properties More
  148.    wt: 5:   A Straight Line Slope Scaling Properties
  149.    wt: 5:   14 Straight Lines Equations General Case
  150.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  151.    wt: 5:   12 Straight Lines Graphing mx plus b
  152.    wt: 5:   11 Straight Lines Graphing y=mx
  153.    wt: 5:   9 Straight Lines through Origin Equations
  154.    wt: 5:   8 Straight Lines Equation for vertical
  155.    wt: 5:   7 Tangent Function is odd on this domain
  156.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  157.    wt: 5:   5 Tangent Function Graph
  158.    wt: 5:   4 Tangent Function Properties
  159.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  160.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  161.    wt: 5:   1 Straight Lines Slope Concept
  162.    wt: 5:   20 N th Roots of Complex Numbers
  163.    wt: 5:   19 N th Roots of Unity
  164.    wt: 5:   18 Sixth Roots of Unity
  165.    wt: 5:   17 Cube Roots of unity
  166.    wt: 5:   16 References and Originality Question
  167.    wt: 5:   15 Pythagorean Theorem Converse
  168.    wt: 5:   14 Law of cosines
  169.    wt: 5:   13 Trig Formulas for dot and cross Products
  170.    wt: 5:   12 cis formulas for sine cosines and tangent
  171.    wt: 5:   9 The complex number valued trig function cis
  172.    wt: 5:   7 Second Way to Calculate Products
  173.    wt: 5:   5 An Easy Proof of the Distributive Law
  174.    wt: 5:   4 Multiplication Properties
  175.    wt: 5:   3 Addition Properties
  176.    wt: 5:   2 Complex Numbers made easier we hope
  177.    wt: 5:   Appetizer A Complex Number Applet
  178.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  179.    wt: 5:   12 Triangles Similarity More Problems
  180.    wt: 5:   9 Similarity of Triangles Usual Criteria
  181.    wt: 5:   8 Similarity of Triangles and Polygons
  182.    wt: 5:   7 Translations Rotations Reflections Dilatations
  183.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  184.    wt: 5:   4 Similarity Definition with Coordinate
  185.    wt: 5:   3 Similarity by Design with coordinates
  186.    wt: 5:   Four Simple Exercises
  187.    wt: 5:   12 Links Lessons elsewhere
  188.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  189.    wt: 5:   8 Mid Point Formula
  190.    wt: 5:   7 Exercises to test skill and concept mastery
  191.    wt: 5:   5 Algebraic View of Slopes
  192.    wt: 5:   4 Equations for lines three forms
  193.    wt: 5:   3 Slope product for perpendicular lines
  194.    wt: 5:   2 point slope equation for a line
  195.    wt: 5:   What is and is not here
  196.    wt: 5:   13 Pythagorean spatial distance formulas
  197.    wt: 5:   12 Spatial Coordinates
  198.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  199.    wt: 5:   8 Distance Between Points on a Line
  200.    wt: 5:   7 Complex Numbers Appetizer
  201.    wt: 5:   5 Cartesian Addition and Translation
  202.    wt: 5:   4 Polar Coordinates to and from
  203.    wt: 5:   3 Rectangular Coordinates Review
  204.    wt: 5:   2 Cartesian Coordinates with signs
  205.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  206.    wt: 5:   PS H Distributive Law For Complex Numbers
  207.    wt: 5:   PS G Rotation Distributes over Addition
  208.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  209.    wt: 5:   PS E Multiplication with Polar Coordinates
  210.    wt: 5:   PS D Addition with Cartesian Coordinates
  211.    wt: 5:   PS B Parallelogram Construction Methods
  212.    wt: 5:   19 Right Triangle Similarity
  213.    wt: 5:   18 Triangle Similarity Take 1
  214.    wt: 5:   17 Right Bisectors of Triangle Sides
  215.    wt: 5:   16 Angles Subtended By Chords and Diameters
  216.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  217.    wt: 5:   14 Parallel Lines Postulate
  218.    wt: 5:   13 Angle Side Angle Failure
  219.    wt: 5:   12 Side Angle Side Failure
  220.    wt: 5:   9 Construction of a right bisector
  221.    wt: 5:   8 Isoceles Triangles
  222.    wt: 5:   7 Angle Side Angle
  223.    wt: 5:   5 Side Angle Side
  224.    wt: 5:   4 Side Side Side
  225.    wt: 5:   3 Isometry of Triangles Congruence
  226.    wt: 5:   2 Correspondence between Triangles
  227.    wt: 5:   Short Course on Euclidean Geometry
  228.    wt: 5:   About Folder Contents
  229.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  230.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  231.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  232.    wt: 5:   6 GCD from Prime
  233.    wt: 5:   4 LCM of 8 and 10 via Prime
  234.    wt: 4:   13 GCD from given Prime Factorization
  235.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  236.    wt: 4:   8 GCD from Euclidean Algorithm
  237.    wt: 4:   7 GCD and LCM from prime factorization
  238.    wt: 4:   5 Common Divisors 60 45 via Prime
  239.    wt: 4:   2 Least Common Multiple LCM intro via list method
  240.    wt: 4:   1 Least Common Multiples LCM Introduction
  241.    wt: 4:   12 GCD 2700 288 via Prime
  242.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  243.    wt: 4:   10 Three one sided limits with infinite values
  244.    wt: 4:   6 Continuity at a point
  245.    wt: 4:   1 Numerical introduction
  246.    wt: 3:   Maps Plans Drawings
  247.    wt: 3:   cultivating intelligence
  248.    wt: 3:   10 quadratic exercises
  249.    wt: 3:   9 quadratics physical and further context
  250.    wt: 3:   8 quadratics backward use of various formulas
  251.    wt: 3:   5 quadratics completing the square
  252.    wt: 3:   4 quadratics difference of two squares
  253.    wt: 3:   3 quadratics factoring by inspection
  254.    wt: 3:   2 quadratics graphing in general
  255.    wt: 3:   1 quadratics graphing exercises
  256.    wt: 3:   Quadratics in 10 steps
  257.    wt: 3:   10 One Example
  258.    wt: 3:   6 Three Examples
  259.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  260.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  261.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  262.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  263.    wt: 3:   17 Efficient Ways to Add and Subtract
  264.    wt: 3:   16 Addition Subtraction Comparision Compared
  265.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  266.    wt: 3:   14 Adding and Subtracting with Like Denominators
  267.    wt: 3:   13 Fraction Comparison Algebraic View
  268.    wt: 3:   12 Fraction Comparison
  269.    wt: 3:   11 Simplification an Algebraic View
  270.    wt: 3:   9 Improper Fractions and Mixed Numbers
  271.    wt: 3:   8 Numerals Fractionals Quantals Take II
  272.    wt: 3:   7 Numerals Fractionals Quantals
  273.    wt: 3:   6 Multiplication of Mixed Numbers
  274.    wt: 3:   6 Multiplication Algebraically Take II
  275.    wt: 3:   5 Equivalent Fractions
  276.    wt: 3:   4 Fraction Multiplication
  277.    wt: 3:   3 Unit fraction of a fraction
  278.    wt: 3:   2 Unit Fraction Multiplication
  279.    wt: 3:   1 What is a fraction Take II
  280.    wt: 3:   1 What is a fraction
  281.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  282.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  283.    wt: 3:   Example 2 volume of a cone
  284.    wt: 3:   9 Limits Continuity and Composition
  285.    wt: 3:   4 Numerical properties
  286.    wt: 3:   Chapter 10 Slopes and Units
  287.    wt: 2:   10 statistics
  288.    wt: 2:   which way to go
  289.    wt: 2:   activities for students
  290.    wt: 2:   About site lesson plans
  291.    wt: 2:   key notes and themes
  292.    wt: 2:   Mathematics Education Professors
  293.    wt: 2:   grouping students according to ability
  294.    wt: 2:   what should be learnt and When
  295.    wt: 2:   Postscript 2007 01 10
  296.    wt: 2:   Secondary Three Mathematics
  297.    wt: 2:   Secondary Two Mathematics
  298.    wt: 2:   teaching tips
  299.    wt: 2:   05 13 OldSiteEntrancePage
  300.    wt: 2:   04 29 New Mathematics Curriculum
  301.    wt: 2:   04 25 when to stop or suspend mathemat
  302.    wt: 2:   02 21 words for teachers
  303.    wt: 2:   02 20 mathematics education references
  304.    wt: 2:   three aims for mathematics students
  305.    wt: 2:   standards for course material
  306.    wt: 2:   Operational Viewpoint to Value
  307.    wt: 2:   formal or informal peer review
  308.    wt: 2:   Theory of Knowledge
  309.    wt: 2:   mathematics instruction in general
  310.    wt: 2:   Education in mathematics science and technology
  311.    wt: 2:   Different Kinds of Reasoning in maths
  312.    wt: 2:   three kinds of reason in mathematics
  313.    wt: 2:   Four ways to improve education reform
  314.    wt: 2:   Motivation and Context Problem
  315.    wt: 2:   chapitre 06 00 Chaines de la raison
  316.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  317.    wt: 2:   chapitre 04 06 engagements
  318.    wt: 2:   10 Ends values for work study instruction
  319.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  320.    wt: 2:   Ages 10 to 12 Geometry
  321.    wt: 2:   Ages 10 to 12 Arithmetic
  322.    wt: 2:   10 Interval Notation
  323.    wt: 2:   6 Set Existence Formation and Notation
  324.    wt: 2:   A Quadratics Summary
  325.    wt: 2:   7 quadratic formulla derivation
  326.    wt: 2:   10 Exponential Growth and Decay Models
  327.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  328.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  329.    wt: 2:   6 Column Methods for Decimal Multiplication
  330.    wt: 2:   5 Areas of Rectangles Revisited
  331.    wt: 2:   4 Fraction Operations Axiomatic Development
  332.    wt: 2:   3 Inequalities Algebraically
  333.    wt: 2:   2 Fraction Operations Physical Development
  334.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  335.    wt: 2:   8 Coordinates for Maps and Planes
  336.    wt: 2:   6 Algebraic Solution Example
  337.    wt: 2:   Skill Development Notes
  338.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  339.    wt: 2:   6 Three Notions of What is a Variable
  340.    wt: 2:   10 dividing signed numbers
  341.    wt: 2:   6 adding signed numbers
  342.    wt: 2:   D Three Term Ratios
  343.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  344.    wt: 2:   B Fractions and Two Term Ratios
  345.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  346.    wt: 2:   22 Complex Compound Fractions
  347.    wt: 2:   21 Working With Signs
  348.    wt: 2:   21 Reciprocals for Fractions and Wholes
  349.    wt: 2:   20 Dividing Fractions the Why
  350.    wt: 2:   19 Dividing Fractions How TO
  351.    wt: 2:   18 Efficient Ways to Multiply
  352.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  353.    wt: 2:   10 Integer Multiplication Formulas
  354.    wt: 2:   6 Multiplication by Natural Numbers
  355.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  356.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  357.    wt: 2:   10 video Prime Factorization upto 23 squared
  358.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  359.    wt: 2:   10 Division by Five Long and Short Ways
  360.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  361.    wt: 2:   6 Multiplication Commutes Order Not Important
  362.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  363.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  364.    wt: 2:   6. Counting and adding units and mixed units
  365.    wt: 2:   1. Explaining Addition Table
  366.    wt: 2:   11 Place Value SI Standard International way
  367.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  368.    wt: 2:   010 Repeated Addition of Time Intervals
  369.    wt: 2:   Example 1 volume of a pyramid
  370.    wt: 2:   Volume of Solid by Cross Sections Lesson
  371.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  372.    wt: 2:   Example 2
  373.    wt: 2:   Area Between Curves Lesson Take 1
  374.    wt: 2:   4 Definite Integrals Evaluation Exercises
  375.    wt: 2:   38 Formulas and derivatives for powers and roots
  376.    wt: 2:   29 Chain Rule Optional Reading
  377.    wt: 2:   19 Chain Rule for linear functions
  378.    wt: 2:   10 Power rule for negative integers
  379.    wt: 2:   6 Power rule from product rule
  380.    wt: 2:   3 Motivation for Limit Definition Take 2
  381.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  382.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  383.    wt: 2:   11 Limits at infinity Three Examples
  384.    wt: 2:   8 Four Animated Examples
  385.    wt: 2:   7 Evaluation by immediate or delayed substitution
  386.    wt: 2:   5 Jumps and absence of unlimited error control
  387.    wt: 2:   3 Decimal insights for limits continuity convergence
  388.    wt: 2:   2 Algebraic codification
  389.    wt: 2:   Chapter 23 Links To Trigonometry
  390.    wt: 2:   Chapter 21 Arrow Addition
  391.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  392.    wt: 2:   Chapter 11. Graphing Slope versus Position
  393.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  394.    wt: 2:   Chapter 1.Introduction
  395.    wt: 2:   Foreword
  396.    wt: 2:   Chapter 10 Describing and Changing Calculations
  397.    wt: 2:   Chapter 10 Transition
  398.    wt: 2:   Chapter 10 Responsibility
  399.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  400.    wt: 2:   Chapter 6 More Algebra and Geometry
  401.    wt: 2:   Chapter 1 Arithmetic
  402.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  403.    wt: 1:   Skills Chapter 1 Arithmetic
  404.    wt: 1:   Skills Chapter 0 Introduction
  405.    wt: 1:   6 polynomials etc
  406.    wt: 1:   why bother
  407.    wt: 1:   website reviews
  408.    wt: 1:   three goals to set for students
  409.    wt: 1:   Teach the teachers plus goals
  410.    wt: 1:   permissions for teachers
  411.    wt: 1:   Math Ed if it must be short make it lean effective
  412.    wt: 1:   Applied Maths Program14092009 POMME variant
  413.    wt: 1:   links Education Resources online
  414.    wt: 1:   site origins
  415.    wt: 1:   site eurekas
  416.    wt: 1:   teacher certification
  417.    wt: 1:   modern education
  418.    wt: 1:   learning takes time
  419.    wt: 1:   mathematics in context
  420.    wt: 1:   Education Reform Inconsistencies
  421.    wt: 1:   five decades make a difference
  422.    wt: 1:   how letters appear
  423.    wt: 1:   Secondary One Mathematics
  424.    wt: 1:   talk the algebra talk
  425.    wt: 1:   three difficulties
  426.    wt: 1:   What to Tell Students
  427.    wt: 1:   mathematics curriculum shifts
  428.    wt: 1:   geometric implications for algebra
  429.    wt: 1:   teaching tutoring algebraic reason
  430.    wt: 1:   Lessening Algebra Difficulties
  431.    wt: 1:   the trouble with algebra
  432.    wt: 1:   three goals for Mathematics Education
  433.    wt: 1:   How to be a better instructor
  434.    wt: 1:   need for a mixed mathematics curriculum
  435.    wt: 1:   Leaner mathematics curriculum
  436.    wt: 1:   Prequel In For A Penny In For A Pound
  437.    wt: 1:   education an empirical art
  438.    wt: 1:   fairness and inductive principles for instruction
  439.    wt: 1:   words for mathematics instructor
  440.    wt: 1:   chapitre 12 00 les iles et division
  441.    wt: 1:   chapitre 07 01 principle D induction mathematique
  442.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  443.    wt: 1:   chapitre 05 00 Deception
  444.    wt: 1:   chapitre 04 09 Regles accidentelles
  445.    wt: 1:   chapitre 04 08 Limitations et benefices
  446.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  447.    wt: 1:   chapitre 04 05 Implication versus suggestion
  448.    wt: 1:   chapitre 04 04 Parlons de la logique
  449.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  450.    wt: 1:   chapitre 04 02 Deuxieme enigme
  451.    wt: 1:   chapitre 04 01 Premiere enigme
  452.    wt: 1:   chapitre 04 00 Les regles d implication
  453.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  454.    wt: 1:   chapitre 02 00 La Communication des idees
  455.    wt: 1:   chapitre 01 00 Introduction
  456.    wt: 1:   problemes responses
  457.    wt: 1:   problemes algebre et arithmetique
  458.    wt: 1:   logique deux enigme
  459.    wt: 1:   1 Energy Power Heat06
  460.    wt: 1:   A Energy Power01
  461.    wt: 1:   2 Unlike resistors in parallel01
  462.    wt: 1:   1 Like resistors in series
  463.    wt: 1:   E Kirchoffs Second Law
  464.    wt: 1:   A Circuit Elements
  465.    wt: 1:   Home Tutoring and Home Schooling
  466.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  467.    wt: 1:   11 Help and Defend Your Child or Teens Education
  468.    wt: 1:   1 Speaking Skills
  469.    wt: 1:   Ages 9 to 10
  470.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  471.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  472.    wt: 1:   sign monoticity analysis example 1
  473.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  474.    wt: 1:   11 Function Domain Range Source and Targets
  475.    wt: 1:   1 Geometric Introduction of Function Notation
  476.    wt: 1:   11 Growth and Decay in Biology
  477.    wt: 1:   1 Calculator Starter Exercises
  478.    wt: 1:   8 Notes for instructors or tutors
  479.    wt: 1:   7 Links Lessons Elsewhere
  480.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  481.    wt: 1:   4 Polynomials Long division linear divisor
  482.    wt: 1:   3 Polynomials Multiplication Addition
  483.    wt: 1:   2 Column Multiplication Method
  484.    wt: 1:   1 Polynomials Distributive Law
  485.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  486.    wt: 1:   19 Signed Multiples of Vectors
  487.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  488.    wt: 1:   13 Arrows and Vectors in a Plane
  489.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  490.    wt: 1:   9 Division with Digits after Decimal Point
  491.    wt: 1:   8 Division and Mulplication of Compound Fractions
  492.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  493.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  494.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  495.    wt: 1:   4 Location of Point in Decimal Addition
  496.    wt: 1:   3 Location of Point in Decimal Multiplication
  497.    wt: 1:   2 Counting Digits in Decimal Multiplication
  498.    wt: 1:   1 Fractions with Finite Decimal Expansions
  499.    wt: 1:   1 The Counting Origins of Numbers
  500.    wt: 1:   1 What is Proportionality
  501.    wt: 1:   6 Compound Interest Forward and Backwards
  502.    wt: 1:   6 Equations and Systems Equivalent or Implied
  503.    wt: 1:   5 Greater More Less Than Signs in General
  504.    wt: 1:   4 Comparison of Negative Numbers
  505.    wt: 1:   3 More and Less Than with Unlike Signs
  506.    wt: 1:   2 More and Less Than for Counts and Measures
  507.    wt: 1:   1 Real Numbers Comparison
  508.    wt: 1:   10 Real Number Lengths and Signs
  509.    wt: 1:   9 Coordinates for Regions in Space
  510.    wt: 1:   7 Real Numbers as Line Cordinates
  511.    wt: 1:   6 Unsigned Real Numbers
  512.    wt: 1:   5 Independent versus Dependent Variables
  513.    wt: 1:   4 Changing Letters
  514.    wt: 1:   3 Geometric Formulas and Function Notation
  515.    wt: 1:   2 Computation Rules Evaluation
  516.    wt: 1:   1 Formulas Dependence and Function Notation
  517.    wt: 1:   1 GE Substitution four examples
  518.    wt: 1:   1 Essentially One Unknown
  519.    wt: 1:   1 Proper Equal Sign Usage
  520.    wt: 1:   9 Three Examples
  521.    wt: 1:   8 One Example
  522.    wt: 1:   7 Two Examples
  523.    wt: 1:   5 Three Examples
  524.    wt: 1:   4 Two Examples
  525.    wt: 1:   3 Two Examples
  526.    wt: 1:   2 Three Examples
  527.    wt: 1:   10 Volume of Pyramid
  528.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  529.    wt: 1:   6 Power Set Notation
  530.    wt: 1:   5 Talking about Numbers and Quantities
  531.    wt: 1:   4 A Brief Story of numbers and algebra
  532.    wt: 1:   3 Adding Words To Arithmetic
  533.    wt: 1:   2 What is a Variable
  534.    wt: 1:   1 Three Skills For Algebra
  535.    wt: 1:   1 More and Less Than for Counts and Measures
  536.    wt: 1:   5 Square Roots with primes more still
  537.    wt: 1:   4 Square Roots with primes more
  538.    wt: 1:   3 Properties of Square Roots with example
  539.    wt: 1:   2 Square Roots with Prime
  540.    wt: 1:   1 Squares and Square Roots Introduction
  541.    wt: 1:   11 What are real lengths and numbers
  542.    wt: 1:   3 signed coordinates for maps and planes
  543.    wt: 1:   11 Adding Integers Formulas and Examples
  544.    wt: 1:   1 Integers as Coordinates
  545.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  546.    wt: 1:   26 Divisibility by 2 3 5 Example
  547.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  548.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  549.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  550.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  551.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  552.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  553.    wt: 1:   1 Remainder Arithmetic Modulo 10
  554.    wt: 1:   11 Efficient Square Rule Use
  555.    wt: 1:   1 video how Products are bigger than factor
  556.    wt: 1:   11 Another Single Digit Divisor Example
  557.    wt: 1:   1 Divsion Physical Examples
  558.    wt: 1:   D Decimal Multiplication Methods Derived
  559.    wt: 1:   1 Why 3 times 5 gives 15
  560.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  561.    wt: 1:   8 What skills and work habits to require
  562.    wt: 1:   7 Adding decimal fractions using decimal point
  563.    wt: 1:   5. How to add decimals C. Examples
  564.    wt: 1:   4. How to add with decimals B with conversions
  565.    wt: 1:   3. How to add with decimals A sans conversions
  566.    wt: 1:   2 Decimal Counting Practices
  567.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  568.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  569.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  570.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  571.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  572.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  573.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  574.    wt: 1:   016 Numbering Occidental Calendar Days
  575.    wt: 1:   015 School and work day counting tables
  576.    wt: 1:   014 Counting Days with Calendars
  577.    wt: 1:   013 Travel Time Tables
  578.    wt: 1:   012 Division of Time Intervals by Time Intervals
  579.    wt: 1:   011 Division of Time Intervals By Numbers
  580.    wt: 1:   6 How long is a million seconds
  581.    wt: 1:   Example 1. Area Between x and x squared
  582.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  583.    wt: 1:   Example 4 with x function of y
  584.    wt: 1:   Example 3
  585.    wt: 1:   Example 1
  586.    wt: 1:   Area Between Curves Lesson Take 2
  587.    wt: 1:   Summary
  588.    wt: 1:   A Related Material in Volume 3
  589.    wt: 1:   5 Area Under Curve Exercise
  590.    wt: 1:   3 Two Chain Rule Method Exercises
  591.    wt: 1:   2 Indefinite Integrals Exercises
  592.    wt: 1:   1 Chain Rule in Reverse Integration Method
  593.    wt: 1:   A Related lessons in Volume 3
  594.    wt: 1:   4 Second derivative test exercise example
  595.    wt: 1:   3 Second derivative test
  596.    wt: 1:   2 Second derivative test prequel
  597.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  598.    wt: 1:   A Chain Rule Real Player video examples
  599.    wt: 1:   36 Cube root derivative animated
  600.    wt: 1:   34 Derivative of exponential function
  601.    wt: 1:   33 Chain Rule Real Player video examples
  602.    wt: 1:   31 Derivatives of inverse functions
  603.    wt: 1:   30Chain Rule A Proof
  604.    wt: 1:   28 Chain Rule Preparation for a Proof
  605.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  606.    wt: 1:   26 Chain Rule Recognising outer inner functions
  607.    wt: 1:   25 Chain Rule Animated Examples Continued
  608.    wt: 1:   24 Chain Rule Animated Examples
  609.    wt: 1:   23 Chain Rule in general
  610.    wt: 1:   22 Chain Rule for polynomials
  611.    wt: 1:   21 Chain Rule for powers
  612.    wt: 1:   20 Chain Rule for Pulley Systems
  613.    wt: 1:   18 Chain Rule Introduction
  614.    wt: 1:   17 Derivatives of quotients of sine and cosine
  615.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  616.    wt: 1:   15 sine and cosine derivatives 3rd step
  617.    wt: 1:   14 sine and cosine derivatives 2nd step
  618.    wt: 1:   13 sine and cosine derivatives 1st step
  619.    wt: 1:   12 Quotient rule examples
  620.    wt: 1:   11 Quotient rule
  621.    wt: 1:   9 Reciprocal rule
  622.    wt: 1:   8 Differentiation of polynomials
  623.    wt: 1:   7 Animated Differentiation Examples
  624.    wt: 1:   5 Product Rule
  625.    wt: 1:   4 Sum Rule
  626.    wt: 1:   2 Motivation for Limit Definition Take 1
  627.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  628.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  629.    wt: 1:   F.3 Intermediate Value Theorem
  630.    wt: 1:   F.2 Closed Range Theorem
  631.    wt: 1:   D2 Limits of Monotone Sequences
  632.    wt: 1:   PostScript For and Against Decimal Perspectives
  633.    wt: 1:   A1. Introduction
  634.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  635.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  636.    wt: 1:   Chapter 22 Complex Numbers
  637.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  638.    wt: 1:   Chapter 18. Slopes Areas Integration
  639.    wt: 1:   Chapter 17. Area Approximation
  640.    wt: 1:   Chapter 16. Velocity Approximation
  641.    wt: 1:   Chapter 15. Slope Approximation
  642.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  643.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  644.    wt: 1:   Chapter 13. Acceleration
  645.    wt: 1:   Chapter 12. Units and Slopes
  646.    wt: 1:   Chapter 9 About First Courses in Calculus
  647.    wt: 1:   Chapter 8. Slope Interpretation
  648.    wt: 1:   Chapter 7 Slopes and Velocity
  649.    wt: 1:   Chapter 5. Slope Sign Tests
  650.    wt: 1:   Chapter 4. More Slope Sign Analysis
  651.    wt: 1:   Chapter 3. Slope Sign Analysis
  652.    wt: 1:   Chapter 2. Slopes and Ski Trails
  653.    wt: 1:   Fall 1983 Calculus Appetizer
  654.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  655.    wt: 1:   Chapter 31 Direct and Indirect Reason
  656.    wt: 1:   Chapter 21. Third Reading Guide
  657.    wt: 1:   Chapter 11. Why Shorthand
  658.    wt: 1:   Chapter 6 Change of Language
  659.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  660.    wt: 1:   Chapter 11 Elementary Instruction
  661.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  662.    wt: 1:   Chapter 1 Introduction
  663.    wt: 1:   Chapter 21 Occurrence Tables
  664.    wt: 1:   Chapter 11 Accidental Patterns
  665.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  666.    wt: 1:   Chapter 6 Chains of Reason
  667.    wt: 1:   Chapter 1 Introduction
  668.    wt: 1:   N Improving Marks on Tests and Finals
  669.    wt: 1:   J. More on written work and showing skill
  670.    wt: 1:   F. The student teacher tutor feedback loop
  671.    wt: 1:   A. Skill has to be seen to believed
  672.    wt: 1:   Chapter 8 Skipped Topics and Why
  673.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  674.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  675.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  676.    wt: 1:   Chapter 3 Algebra Starter Lessons
  677.    wt: 1:   Chapter 2 Why Sets
  678.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  679.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  680.    wt: 1:   Implementation Notes
  681.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  682.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  683.    wt: 10:   6 Trigonometry Sines of Supplementary Angles
  684.    wt: 10:   6 Figuring with Maps Not to Scale
  685.    wt: 10:   4 Angles on Maps Plans drawn to scale
  686.    wt: 10:   3 Lengths and Areas on Maps and Plans
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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