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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39 matches:

  1.    wt: 8:   8 Unit Circle Trigonometry/
  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:   6 Trigonometry first steps/
  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:   3 Quadratics Geometrically/
  19.    wt: 2:   1 Five Polynomial Operations/
  20.    wt: 2:   10 Examples of Algebraic Reasoning/
  21.    wt: 2:   8 Arithmetic with Signed Numbers/
  22.    wt: 2:   13 Lessons on Limits and Continuity/
  23.    wt: 1:   Mathematics Education Essays/
  24.    wt: 1:   Volume 1A Regles et modeles/
  25.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  26.    wt: 1:   4 Functions/
  27.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  28.    wt: 1:   More Algebra/
  29.    wt: 1:   8 Unifying Theme For Algebra/
  30.    wt: 1:   Step 1 Stick diagram and fractions/
  31.    wt: 1:   11 Squares and Square Roots/
  32.    wt: 1:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   1 Decimal Place Value/
  34.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  35.    wt: 1:   5 Lessons on Integration/
  36.    wt: 1:   4 Lessons on Using Derivatives/
  37.    wt: 1:   38 Lessons on Calculating Derivatives/
  38.    wt: 1:   70 Calculus Starter Lessons/
  39.    wt: 1:   Advanced Calculus Volume 3 Appendices/

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90 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   Quadratics in 10 steps
  3.    wt: 2:   4 Angles on Maps Plans drawn to scale
  4.    wt: 2:   3 Lengths and Areas on Maps and Plans
  5.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  6.    wt: 1:   10 statistics
  7.    wt: 1:   About site lesson plans
  8.    wt: 1:   Postscript 2007 01 10
  9.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  10.    wt: 1:   chapitre 04 08 Limitations et benefices
  11.    wt: 1:   3 Energy Power Heat08
  12.    wt: 1:   10 Ends values for work study instruction
  13.    wt: 1:   Ages 10 to 12 Geometry
  14.    wt: 1:   Ages 10 to 12 Arithmetic
  15.    wt: 1:   Ages 9 to 10
  16.    wt: 1:   10 Interval Notation
  17.    wt: 1:   A Quadratics Summary
  18.    wt: 1:   10 quadratic exercises
  19.    wt: 1:   9 quadratics physical and further context
  20.    wt: 1:   8 quadratics backward use of various formulas
  21.    wt: 1:   6 quadratics numerical approach
  22.    wt: 1:   5 quadratics completing the square
  23.    wt: 1:   4 quadratics difference of two squares
  24.    wt: 1:   3 quadratics factoring by inspection
  25.    wt: 1:   2 quadratics graphing in general
  26.    wt: 1:   1 quadratics graphing exercises
  27.    wt: 1:   10 Exponential Growth and Decay Models
  28.    wt: 1:   10 arctan left inverse of tangent Definition
  29.    wt: 1:   13 Velocity Vectors in Physics
  30.    wt: 1:   10 Parallelogram Addition Method
  31.    wt: 1:   8 Parallel Vectors
  32.    wt: 1:   6 Vectors with Coordinates
  33.    wt: 1:   3 Navigation with Arrows or Vectors
  34.    wt: 1:   10 Straight Lines through Origin Equations More
  35.    wt: 1:   10 Graphs of sines and cosines many periods
  36.    wt: 1:   Unit Circle Development of Trigonometry
  37.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  38.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  39.    wt: 1:   8 Unit Circle Development of Trigonometry
  40.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  41.    wt: 1:   Why Trigonometry the whyslopes view
  42.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  43.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  44.    wt: 1:   10 Midpoint of [a b] and [b a]
  45.    wt: 1:   10 Pythagorean plane distance formula
  46.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  47.    wt: 1:   10 Dropping a perpendicular to line
  48.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  49.    wt: 1:   6 Figuring with Maps Not to Scale
  50.    wt: 1:   19 Signed Multiples of Vectors
  51.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  52.    wt: 1:   13 Arrows and Vectors in a Plane
  53.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  54.    wt: 1:   10 Real Number Lengths and Signs
  55.    wt: 1:   8 Coordinates for Maps and Planes
  56.    wt: 1:   4 Four Examples Fractional Coefficients
  57.    wt: 1:   10 One Example
  58.    wt: 1:   10 Volume of Pyramid
  59.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  60.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  61.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  62.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  63.    wt: 1:   4 LCM of 8 and 10 via Prime
  64.    wt: 1:   10 dividing signed numbers
  65.    wt: 1:   3 signed coordinates for maps and planes
  66.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  67.    wt: 1:   10 Integer Multiplication Formulas
  68.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  69.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  70.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  71.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  72.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  73.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  74.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  75.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  76.    wt: 1:   1 Remainder Arithmetic Modulo 10
  77.    wt: 1:   10 video Prime Factorization upto 23 squared
  78.    wt: 1:   10 Division by Five Long and Short Ways
  79.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  80.    wt: 1:   010 Repeated Addition of Time Intervals
  81.    wt: 1:   10 Power rule for negative integers
  82.    wt: 1:   10 Three one sided limits with infinite values
  83.    wt: 1:   Chapter 23 Links To Trigonometry
  84.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  85.    wt: 1:   Chapter 10 Slopes and Units
  86.    wt: 1:   Chapter 10 Describing and Changing Calculations
  87.    wt: 1:   Chapter 10 Transition
  88.    wt: 1:   Chapter 10 Responsibility
  89.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  90.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

710 matches:

  1.    wt: 9:   8 Parallel Vectors
  2.    wt: 9:   13 Graph of tangent function many periods
  3.    wt: 9:   12 Graph of tangent function for one period
  4.    wt: 9:   11 tangent function undefined when terminal side vertical
  5.    wt: 9:   9 Graphs of sine and cosine over one period
  6.    wt: 9:   8 period of tangent function
  7.    wt: 9:   7 period of sine and cosine
  8.    wt: 9:   6 sines and cosines for reference angle 30 degrees
  9.    wt: 9:   5 sines and cosines for reference angle 60 degrees
  10.    wt: 9:   4 sines and cosines for reference angle 45 degrees
  11.    wt: 9:   3 sines and cosines for reference angle 90 degrees
  12.    wt: 9:   Unit Circle Development of Trigonometry
  13.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  14.    wt: 9:   6 Figuring with Maps Not to Scale
  15.    wt: 8:   10 Parallelogram Addition Method
  16.    wt: 8:   17 tangent function angle sum formulas
  17.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  18.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  19.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  20.    wt: 8:   32 seven rows of pascals triangle
  21.    wt: 8:   31 basic secant cosecant cotangent trig identities
  22.    wt: 8:   30 unit circle calculation of six trigonometric functions
  23.    wt: 8:   29 secant cosecant and cotangent for acute angles
  24.    wt: 8:   28 Expressing products of sines cosines as sums
  25.    wt: 8:   27 Logarithmic use of products of sines and cosines
  26.    wt: 8:   26 Formulas for products of sines and cosines
  27.    wt: 8:   25 tangent double angle formula Slope connection
  28.    wt: 8:   24 tangent Angle Difference Formula
  29.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  30.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  31.    wt: 8:   21 sine and cosine Half Angle Formulas
  32.    wt: 8:   20 sine and cosine Double Angle Formulas
  33.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  34.    wt: 8:   18 sum of sinusoidal waves as a single wave
  35.    wt: 8:   17G Pythagorean Theorem Converse
  36.    wt: 8:   17F Law of cosines
  37.    wt: 8:   17E Trig Formulas for dot and cross Products
  38.    wt: 8:   17D cis formulas for sine cosines and tangent
  39.    wt: 8:   17C sine and cosine double triple angle formulas
  40.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  41.    wt: 8:   17A The complex number valued trig function cis
  42.    wt: 8:   16 Right Triangle Complementary Angle Relations
  43.    wt: 8:   15 sine cosine Complementary Angle Relations
  44.    wt: 8:   14 cosine even and sine and tangent are odd
  45.    wt: 8:   2 Quadrant I reference Angles
  46.    wt: 8:   1 Unit Points Reflections Rotations
  47.    wt: 8:   8 Unit Circle Development of Trigonometry
  48.    wt: 8:   A Measurement with Ruler Proper Use
  49.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  50.    wt: 8:   2 Measuring Area Directly
  51.    wt: 8:   1 Length Measurement
  52.    wt: 7:   13 Velocity Vectors in Physics
  53.    wt: 7:   11 Component Method
  54.    wt: 7:   6 Vectors with Coordinates
  55.    wt: 7:   3 Navigation with Arrows or Vectors
  56.    wt: 7:   1 Unsigned Coordinates
  57.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  58.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  59.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  60.    wt: 7:   Straight Lines ASA Intersection Study More
  61.    wt: 7:   Straight Lines ASA Intersection Study
  62.    wt: 7:   Straight Lines Instersection Solving Equations
  63.    wt: 7:   Straight Lines Intersection of
  64.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  65.    wt: 7:   8 Triangles Cascade Problem Solving
  66.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  67.    wt: 7:   1 Angle Measurement with Degrees
  68.    wt: 7:   Why Trigonometry the whyslopes view
  69.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  70.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  71.    wt: 7:   10 Midpoint of [a b] and [b a]
  72.    wt: 7:   8 Mid Point Formula
  73.    wt: 7:   10 Pythagorean plane distance formula
  74.    wt: 7:   8 Distance Between Points on a Line
  75.    wt: 7:   10 Dropping a perpendicular to line
  76.    wt: 7:   8 Isoceles Triangles
  77.    wt: 6:   10 arctan left inverse of tangent Definition
  78.    wt: 6:   A Global Time and Navigation
  79.    wt: 6:   15 Dot and Cross Product
  80.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  81.    wt: 6:   12 From Applied To Pure Mathematics
  82.    wt: 6:   9 Head to Tail Coordinate View
  83.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  84.    wt: 6:   5 Head To Tail Arrow Addition
  85.    wt: 6:   4 Resultant of a Sum of Movements
  86.    wt: 6:   2 Signed Coordinates
  87.    wt: 6:   Vector and Complex Number Applet
  88.    wt: 6:   Parallel Lines and Parallel Transversals
  89.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  90.    wt: 6:   Triangle Angles Sum To 180 Degrees
  91.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  92.    wt: 6:   Parallel Lines and Interior Angles
  93.    wt: 6:   10 Straight Lines through Origin Equations More
  94.    wt: 6:   21 Logarithms Powers and Exponentials
  95.    wt: 6:   11 sine and cosine double triple angle formulas
  96.    wt: 6:   1 Rectangular Polar Coordinates Review
  97.    wt: 6:   7 Trignometric Ratios Unit Circle
  98.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  99.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  100.    wt: 6:   3 Trigonometric Ratios sine and cosine
  101.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  102.    wt: 6:   11 Triangle Similarity Missing Side Problem
  103.    wt: 6:   8 Similarity of Triangles and Polygons
  104.    wt: 6:   2 Similarity By Design
  105.    wt: 6:   1 Early Concept of Like or Similar Shapes
  106.    wt: 6:   11 A Partial Summary
  107.    wt: 6:   1 Numerical view of lines and their equations
  108.    wt: 6:   11 Triangle Inequality
  109.    wt: 6:   1 Cartesian Coordinates sans signs
  110.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  111.    wt: 6:   PS A Kite Construction Methods
  112.    wt: 6:   21 Parallelograms
  113.    wt: 6:   11 Triangle Construction Fails
  114.    wt: 6:   1 Initial Concepts and Terms
  115.    wt: 5:   8 quadratics backward use of various formulas
  116.    wt: 5:   16 cotangent function Definition Graph and Inverse
  117.    wt: 5:   15 cosecant function Definition Graph and Inverse
  118.    wt: 5:   14 secant function Definition Graph and Inverse
  119.    wt: 5:   13 cosecant function Definition Graph and Inverse
  120.    wt: 5:   12 motivation for term arctan
  121.    wt: 5:   11 arctan left inverse of tangent Graph
  122.    wt: 5:   9 motivation for name arcsin
  123.    wt: 5:   8 arcsin left inverse of sine Graph
  124.    wt: 5:   7 arcsin left inverse of sine Definition
  125.    wt: 5:   6 Graph of arccos function
  126.    wt: 5:   5 Swapping Coordinates is a reflection
  127.    wt: 5:   4 possible motivation for term arccos
  128.    wt: 5:   3 Left Inverse of cosine arccos definition
  129.    wt: 5:   2 cosine function more properties
  130.    wt: 5:   1 cosine function properties
  131.    wt: 5:   9 Summary Degrees to Radians and back
  132.    wt: 5:   8 Radian Measures of Common Angles
  133.    wt: 5:   7 Radian Measures in special Triangles
  134.    wt: 5:   6 Radian Measure to Degrees
  135.    wt: 5:   5 Degrees to Radian Measure
  136.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  137.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  138.    wt: 5:   2 Radian Measure Numerical Value of one degree
  139.    wt: 5:   1 Degrees and Radians Introduction
  140.    wt: 5:   4 graphing y=Asin(x c)
  141.    wt: 5:   3 graphing y=f(x c) plus K
  142.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  143.    wt: 5:   1 graphing y=f(x a)
  144.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  145.    wt: 5:   C Straight Lines Slope from Coordinates
  146.    wt: 5:   B Straight Line Slope Scaling Properties More
  147.    wt: 5:   A Straight Line Slope Scaling Properties
  148.    wt: 5:   14 Straight Lines Equations General Case
  149.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  150.    wt: 5:   12 Straight Lines Graphing mx plus b
  151.    wt: 5:   11 Straight Lines Graphing y=mx
  152.    wt: 5:   9 Straight Lines through Origin Equations
  153.    wt: 5:   8 Straight Lines Equation for vertical
  154.    wt: 5:   7 Tangent Function is odd on this domain
  155.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  156.    wt: 5:   5 Tangent Function Graph
  157.    wt: 5:   4 Tangent Function Properties
  158.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  159.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  160.    wt: 5:   1 Straight Lines Slope Concept
  161.    wt: 5:   20 N th Roots of Complex Numbers
  162.    wt: 5:   19 N th Roots of Unity
  163.    wt: 5:   18 Sixth Roots of Unity
  164.    wt: 5:   17 Cube Roots of unity
  165.    wt: 5:   16 References and Originality Question
  166.    wt: 5:   15 Pythagorean Theorem Converse
  167.    wt: 5:   14 Law of cosines
  168.    wt: 5:   13 Trig Formulas for dot and cross Products
  169.    wt: 5:   12 cis formulas for sine cosines and tangent
  170.    wt: 5:   9 The complex number valued trig function cis
  171.    wt: 5:   7 Second Way to Calculate Products
  172.    wt: 5:   6 Field Properties of Complex Number
  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:   7 Translations Rotations Reflections Dilatations
  182.    wt: 5:   6 Geometric Diagrams in Class
  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:   7 Exercises to test skill and concept mastery
  190.    wt: 5:   6 Intersection of lines by solving linear systems
  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:   7 Complex Numbers Appetizer
  200.    wt: 5:   6 Polar Multiplication and Rotation
  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:   7 Angle Side Angle
  222.    wt: 5:   6 Ruler and compass Angle Bisection
  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:   4 LCM of 8 and 10 via Prime
  233.    wt: 4:   10 quadratic exercises
  234.    wt: 4:   9 quadratics physical and further context
  235.    wt: 4:   6 quadratics numerical approach
  236.    wt: 4:   5 quadratics completing the square
  237.    wt: 4:   4 quadratics difference of two squares
  238.    wt: 4:   3 quadratics factoring by inspection
  239.    wt: 4:   2 quadratics graphing in general
  240.    wt: 4:   1 quadratics graphing exercises
  241.    wt: 4:   Quadratics in 10 steps
  242.    wt: 4:   8 Notes for instructors or tutors
  243.    wt: 4:   13 GCD from given Prime Factorization
  244.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  245.    wt: 4:   8 GCD from Euclidean Algorithm
  246.    wt: 4:   7 GCD and LCM from prime factorization
  247.    wt: 4:   6 GCD from Prime
  248.    wt: 4:   1 Least Common Multiples LCM Introduction
  249.    wt: 4:   12 GCD 2700 288 via Prime
  250.    wt: 4:   10 dividing signed numbers
  251.    wt: 4:   8 multiplying signed numbers
  252.    wt: 4:   10 Three one sided limits with infinite values
  253.    wt: 4:   8 Four Animated Examples
  254.    wt: 3:   Maps Plans Drawings
  255.    wt: 3:   cultivating intelligence
  256.    wt: 3:   10 Interval Notation
  257.    wt: 3:   8 Set view of relations and functions
  258.    wt: 3:   A Quadratics Summary
  259.    wt: 3:   7 quadratic formulla derivation
  260.    wt: 3:   10 Exponential Growth and Decay Models
  261.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  262.    wt: 3:   7 Links Lessons Elsewhere
  263.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  264.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  265.    wt: 3:   4 Polynomials Long division linear divisor
  266.    wt: 3:   3 Polynomials Multiplication Addition
  267.    wt: 3:   2 Column Multiplication Method
  268.    wt: 3:   1 Polynomials Distributive Law
  269.    wt: 3:   10 One Example
  270.    wt: 3:   8 One Example
  271.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  272.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  273.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  274.    wt: 3:   5 Common Divisors 60 45 via Prime
  275.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  276.    wt: 3:   2 Least Common Multiple LCM intro via list method
  277.    wt: 3:   11 What are real lengths and numbers
  278.    wt: 3:   3 signed coordinates for maps and planes
  279.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  280.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  281.    wt: 3:   29 Chain Rule Optional Reading
  282.    wt: 3:   9 Limits Continuity and Composition
  283.    wt: 3:   1 Numerical introduction
  284.    wt: 2:   10 statistics
  285.    wt: 2:   which way to go
  286.    wt: 2:   activities for students
  287.    wt: 2:   About site lesson plans
  288.    wt: 2:   key notes and themes
  289.    wt: 2:   Mathematics Education Professors
  290.    wt: 2:   grouping students according to ability
  291.    wt: 2:   what should be learnt and When
  292.    wt: 2:   Postscript 2007 01 10
  293.    wt: 2:   Secondary Three Mathematics
  294.    wt: 2:   Secondary Two Mathematics
  295.    wt: 2:   talk the algebra talk
  296.    wt: 2:   05 13 OldSiteEntrancePage
  297.    wt: 2:   04 29 New Mathematics Curriculum
  298.    wt: 2:   04 25 when to stop or suspend mathemat
  299.    wt: 2:   02 21 words for teachers
  300.    wt: 2:   02 20 mathematics education references
  301.    wt: 2:   three aims for mathematics students
  302.    wt: 2:   standards for course material
  303.    wt: 2:   Operational Viewpoint to Value
  304.    wt: 2:   formal or informal peer review
  305.    wt: 2:   Theory of Knowledge
  306.    wt: 2:   mathematics instruction in general
  307.    wt: 2:   Education in mathematics science and technology
  308.    wt: 2:   Different Kinds of Reasoning in maths
  309.    wt: 2:   three kinds of reason in mathematics
  310.    wt: 2:   Four ways to improve education reform
  311.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  312.    wt: 2:   chapitre 04 08 Limitations et benefices
  313.    wt: 2:   10 Ends values for work study instruction
  314.    wt: 2:   8 The Effect of Negative Remarks
  315.    wt: 2:   Ages 10 to 12 Geometry
  316.    wt: 2:   Ages 10 to 12 Arithmetic
  317.    wt: 2:   sign monoticity analysis example 1
  318.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  319.    wt: 2:   11 Function Domain Range Source and Targets
  320.    wt: 2:   1 Geometric Introduction of Function Notation
  321.    wt: 2:   11 Growth and Decay in Biology
  322.    wt: 2:   1 Calculator Starter Exercises
  323.    wt: 2:   5 Areas of Rectangles Revisited
  324.    wt: 2:   4 Fraction Operations Axiomatic Development
  325.    wt: 2:   3 Inequalities Algebraically
  326.    wt: 2:   2 Fraction Operations Physical Development
  327.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  328.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  329.    wt: 2:   8 Coordinates for Maps and Planes
  330.    wt: 2:   Skill Development Notes
  331.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  332.    wt: 2:   9 subtracting signed numbers
  333.    wt: 2:   7 negative and additive inverse
  334.    wt: 2:   6 adding signed numbers
  335.    wt: 2:   5 lengths and signs of numbers
  336.    wt: 2:   4 signed coordinates for regions in space
  337.    wt: 2:   2 signed and unsigned numbers as coordinates
  338.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  339.    wt: 2:   10 Integer Multiplication Formulas
  340.    wt: 2:   8 Multiplication by Signed Numbers Integers
  341.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  342.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  343.    wt: 2:   10 video Prime Factorization upto 23 squared
  344.    wt: 2:   8 video Prime Factorization upto 19
  345.    wt: 2:   10 Division by Five Long and Short Ways
  346.    wt: 2:   8 Correcting the Mistake
  347.    wt: 2:   8 Subtraction with Units of Measure
  348.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  349.    wt: 2:   8 What skills and work habits to require
  350.    wt: 2:   1. Explaining Addition Table
  351.    wt: 2:   11 Place Value SI Standard International way
  352.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  353.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  354.    wt: 2:   010 Repeated Addition of Time Intervals
  355.    wt: 2:   Example 2 volume of a cone
  356.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  357.    wt: 2:   Example 2
  358.    wt: 2:   Area Between Curves Lesson Take 1
  359.    wt: 2:   A Related Material in Volume 3
  360.    wt: 2:   38 Formulas and derivatives for powers and roots
  361.    wt: 2:   34 Derivative of exponential function
  362.    wt: 2:   33 Chain Rule Real Player video examples
  363.    wt: 2:   31 Derivatives of inverse functions
  364.    wt: 2:   30Chain Rule A Proof
  365.    wt: 2:   28 Chain Rule Preparation for a Proof
  366.    wt: 2:   19 Chain Rule for linear functions
  367.    wt: 2:   10 Power rule for negative integers
  368.    wt: 2:   8 Differentiation of polynomials
  369.    wt: 2:   3 Motivation for Limit Definition Take 2
  370.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  371.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  372.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  373.    wt: 2:   11 Limits at infinity Three Examples
  374.    wt: 2:   7 Evaluation by immediate or delayed substitution
  375.    wt: 2:   6 Continuity at a point
  376.    wt: 2:   5 Jumps and absence of unlimited error control
  377.    wt: 2:   4 Numerical properties
  378.    wt: 2:   3 Decimal insights for limits continuity convergence
  379.    wt: 2:   2 Algebraic codification
  380.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  381.    wt: 2:   F.3 Intermediate Value Theorem
  382.    wt: 2:   F.2 Closed Range Theorem
  383.    wt: 2:   E2 Algebraic Properties of Limits
  384.    wt: 2:   PostScript For and Against Decimal Perspectives
  385.    wt: 2:   A1. Introduction
  386.    wt: 2:   Chapter 10 Slopes and Units
  387.    wt: 2:   Chapter 10 Describing and Changing Calculations
  388.    wt: 2:   Chapter 10 Transition
  389.    wt: 2:   Chapter 10 Responsibility
  390.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  391.    wt: 1:   Skills Chapter 1 Arithmetic
  392.    wt: 1:   Skills Chapter 0 Introduction
  393.    wt: 1:   8 analytic geometry etc
  394.    wt: 1:   why bother
  395.    wt: 1:   website reviews
  396.    wt: 1:   three goals to set for students
  397.    wt: 1:   Teach the teachers plus goals
  398.    wt: 1:   permissions for teachers
  399.    wt: 1:   Math Ed if it must be short make it lean effective
  400.    wt: 1:   Applied Maths Program14092009 POMME variant
  401.    wt: 1:   links Education Resources online
  402.    wt: 1:   site origins
  403.    wt: 1:   site eurekas
  404.    wt: 1:   teacher certification
  405.    wt: 1:   modern education
  406.    wt: 1:   learning takes time
  407.    wt: 1:   mathematics in context
  408.    wt: 1:   Education Reform Inconsistencies
  409.    wt: 1:   five decades make a difference
  410.    wt: 1:   how letters appear
  411.    wt: 1:   Secondary One Mathematics
  412.    wt: 1:   three difficulties
  413.    wt: 1:   teaching tips
  414.    wt: 1:   What to Tell Students
  415.    wt: 1:   mathematics curriculum shifts
  416.    wt: 1:   geometric implications for algebra
  417.    wt: 1:   teaching tutoring algebraic reason
  418.    wt: 1:   Lessening Algebra Difficulties
  419.    wt: 1:   the trouble with algebra
  420.    wt: 1:   three goals for Mathematics Education
  421.    wt: 1:   How to be a better instructor
  422.    wt: 1:   Motivation and Context Problem
  423.    wt: 1:   need for a mixed mathematics curriculum
  424.    wt: 1:   Leaner mathematics curriculum
  425.    wt: 1:   Prequel In For A Penny In For A Pound
  426.    wt: 1:   education an empirical art
  427.    wt: 1:   fairness and inductive principles for instruction
  428.    wt: 1:   words for mathematics instructor
  429.    wt: 1:   chapitre 12 00 les iles et division
  430.    wt: 1:   chapitre 07 01 principle D induction mathematique
  431.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  432.    wt: 1:   chapitre 06 00 Chaines de la raison
  433.    wt: 1:   chapitre 05 00 Deception
  434.    wt: 1:   chapitre 04 09 Regles accidentelles
  435.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  436.    wt: 1:   chapitre 04 06 engagements
  437.    wt: 1:   chapitre 04 05 Implication versus suggestion
  438.    wt: 1:   chapitre 04 04 Parlons de la logique
  439.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  440.    wt: 1:   chapitre 04 02 Deuxieme enigme
  441.    wt: 1:   chapitre 04 01 Premiere enigme
  442.    wt: 1:   chapitre 04 00 Les regles d implication
  443.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  444.    wt: 1:   chapitre 02 00 La Communication des idees
  445.    wt: 1:   chapitre 01 00 Introduction
  446.    wt: 1:   problemes responses
  447.    wt: 1:   problemes algebre et arithmetique
  448.    wt: 1:   Trois Notions qui menent a algebre
  449.    wt: 1:   3 Energy Power Heat08
  450.    wt: 1:   A Energy Power01
  451.    wt: 1:   2 Unlike resistors in parallel01
  452.    wt: 1:   1 Like resistors in series
  453.    wt: 1:   G Series Circuit01
  454.    wt: 1:   A Circuit Elements
  455.    wt: 1:   Home Tutoring and Home Schooling
  456.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  457.    wt: 1:   11 Help and Defend Your Child or Teens Education
  458.    wt: 1:   1 Speaking Skills
  459.    wt: 1:   Ages 9 to 10
  460.    wt: 1:   Ages 8 to 9
  461.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  462.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  463.    wt: 1:   sign monoticity analysis example 4
  464.    wt: 1:   sign monoticity analysis example 3
  465.    wt: 1:   sign monoticity analysis example 2
  466.    wt: 1:   26 Function definitions done and coming
  467.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  468.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  469.    wt: 1:   23 Inverse Functions
  470.    wt: 1:   22 Square Root function graphically
  471.    wt: 1:   20 Interchanging coordinates a reflection
  472.    wt: 1:   19 Horizontal line rule and method
  473.    wt: 1:   18 Vertical Line Rule and Method
  474.    wt: 1:   17 Function maxima minima and their location
  475.    wt: 1:   16 Increasing or decreasing on intervals
  476.    wt: 1:   15 Sign analysis of functions
  477.    wt: 1:   14 Surjections Injections Bijections
  478.    wt: 1:   13 From one to one to many to one
  479.    wt: 1:   12 Function Domain Recognition Exercises
  480.    wt: 1:   9 Set theory term relation possible origins
  481.    wt: 1:   7 Functions with finite domains
  482.    wt: 1:   6 Set Existence Formation and Notation
  483.    wt: 1:   5 Function notation for geometric transformations
  484.    wt: 1:   4 Function notation in and beyond mathematics
  485.    wt: 1:   3 Formula or function graphing exercise
  486.    wt: 1:   2 Algebraic use of function notation
  487.    wt: 1:   Introduction Reading Guide
  488.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  489.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  490.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  491.    wt: 1:   5 Natural Logarithm Calculator Exercises
  492.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  493.    wt: 1:   2 Square Root Simplification a prequel
  494.    wt: 1:   Rewriting algebraic substitution as function substitutions
  495.    wt: 1:   19 Signed Multiples of Vectors
  496.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  497.    wt: 1:   13 Arrows and Vectors in a Plane
  498.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  499.    wt: 1:   9 Division with Digits after Decimal Point
  500.    wt: 1:   8 Division and Mulplication of Compound Fractions
  501.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  502.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  503.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  504.    wt: 1:   4 Location of Point in Decimal Addition
  505.    wt: 1:   3 Location of Point in Decimal Multiplication
  506.    wt: 1:   2 Counting Digits in Decimal Multiplication
  507.    wt: 1:   1 Fractions with Finite Decimal Expansions
  508.    wt: 1:   8 Column Multiplication Methods in General
  509.    wt: 1:   1 The Counting Origins of Numbers
  510.    wt: 1:   1 What is Proportionality
  511.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  512.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  513.    wt: 1:   6 Compound Interest Forward and Backwards
  514.    wt: 1:   5 Triangle Area Formula Backwards
  515.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  516.    wt: 1:   3 Linear Equation Literal Solution More
  517.    wt: 1:   2 Linear Equation Literal Solution
  518.    wt: 1:   1 Changing Calculations
  519.    wt: 1:   10 Real Number Lengths and Signs
  520.    wt: 1:   9 Coordinates for Regions in Space
  521.    wt: 1:   7 Real Numbers as Line Cordinates
  522.    wt: 1:   6 Unsigned Real Numbers
  523.    wt: 1:   5 Independent versus Dependent Variables
  524.    wt: 1:   4 Changing Letters
  525.    wt: 1:   3 Geometric Formulas and Function Notation
  526.    wt: 1:   2 Computation Rules Evaluation
  527.    wt: 1:   1 Formulas Dependence and Function Notation
  528.    wt: 1:   1 GE Substitution four examples
  529.    wt: 1:   1 Essentially One Unknown
  530.    wt: 1:   4 Four Examples Fractional Coefficients
  531.    wt: 1:   1 Proper Equal Sign Usage
  532.    wt: 1:   9 Three Examples
  533.    wt: 1:   7 Two Examples
  534.    wt: 1:   6 Three Examples
  535.    wt: 1:   5 Three Examples
  536.    wt: 1:   4 Two Examples
  537.    wt: 1:   3 Two Examples
  538.    wt: 1:   2 Three Examples
  539.    wt: 1:   10 Volume of Pyramid
  540.    wt: 1:   8 Compound Interest Formula Evaluation
  541.    wt: 1:   8 Sets of Numbers
  542.    wt: 1:   6 Three Notions of What is a Variable
  543.    wt: 1:   5 Talking about Numbers and Quantities
  544.    wt: 1:   4 A Brief Story of numbers and algebra
  545.    wt: 1:   3 Adding Words To Arithmetic
  546.    wt: 1:   2 What is a Variable
  547.    wt: 1:   1 Three Skills For Algebra
  548.    wt: 1:   1 More and Less Than for Counts and Measures
  549.    wt: 1:   5 Square Roots with primes more still
  550.    wt: 1:   4 Square Roots with primes more
  551.    wt: 1:   3 Properties of Square Roots with example
  552.    wt: 1:   2 Square Roots with Prime
  553.    wt: 1:   1 Squares and Square Roots Introduction
  554.    wt: 1:   17 Efficient Ways to Add and Subtract
  555.    wt: 1:   16 Addition Subtraction Comparision Compared
  556.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  557.    wt: 1:   14 Adding and Subtracting with Like Denominators
  558.    wt: 1:   13 Fraction Comparison Algebraic View
  559.    wt: 1:   12 Fraction Comparison
  560.    wt: 1:   11 Simplification an Algebraic View
  561.    wt: 1:   9 Improper Fractions and Mixed Numbers
  562.    wt: 1:   8 Numerals Fractionals Quantals Take II
  563.    wt: 1:   7 Numerals Fractionals Quantals
  564.    wt: 1:   6 Multiplication of Mixed Numbers
  565.    wt: 1:   6 Multiplication Algebraically Take II
  566.    wt: 1:   5 Equivalent Fractions
  567.    wt: 1:   4 Fraction Multiplication
  568.    wt: 1:   3 Unit fraction of a fraction
  569.    wt: 1:   2 Unit Fraction Multiplication
  570.    wt: 1:   1 What is a fraction Take II
  571.    wt: 1:   1 What is a fraction
  572.    wt: 1:   11 Adding Integers Formulas and Examples
  573.    wt: 1:   1 Integers as Coordinates
  574.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  575.    wt: 1:   26 Divisibility by 2 3 5 Example
  576.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  577.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  578.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  579.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  580.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  581.    wt: 1:   1 Remainder Arithmetic Modulo 10
  582.    wt: 1:   11 Efficient Square Rule Use
  583.    wt: 1:   1 video how Products are bigger than factor
  584.    wt: 1:   11 Another Single Digit Divisor Example
  585.    wt: 1:   1 Divsion Physical Examples
  586.    wt: 1:   D Decimal Multiplication Methods Derived
  587.    wt: 1:   B Powers of Ten
  588.    wt: 1:   1 Why 3 times 5 gives 15
  589.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  590.    wt: 1:   7 Adding decimal fractions using decimal point
  591.    wt: 1:   6. Counting and adding units and mixed units
  592.    wt: 1:   5. How to add decimals C. Examples
  593.    wt: 1:   4. How to add with decimals B with conversions
  594.    wt: 1:   3. How to add with decimals A sans conversions
  595.    wt: 1:   2 Decimal Counting Practices
  596.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  597.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  598.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  599.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  600.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  601.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  602.    wt: 1:   016 Numbering Occidental Calendar Days
  603.    wt: 1:   015 School and work day counting tables
  604.    wt: 1:   014 Counting Days with Calendars
  605.    wt: 1:   013 Travel Time Tables
  606.    wt: 1:   012 Division of Time Intervals by Time Intervals
  607.    wt: 1:   011 Division of Time Intervals By Numbers
  608.    wt: 1:   8 Addition of Time Intervals via subtotaling
  609.    wt: 1:   Example 1 volume of a pyramid
  610.    wt: 1:   Volume of Solid by Cross Sections Lesson
  611.    wt: 1:   Example 1. Area Between x and x squared
  612.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  613.    wt: 1:   Example 4 with x function of y
  614.    wt: 1:   Example 3
  615.    wt: 1:   Example 1
  616.    wt: 1:   Area Between Curves Lesson Take 2
  617.    wt: 1:   Summary
  618.    wt: 1:   5 Area Under Curve Exercise
  619.    wt: 1:   4 Definite Integrals Evaluation Exercises
  620.    wt: 1:   3 Two Chain Rule Method Exercises
  621.    wt: 1:   2 Indefinite Integrals Exercises
  622.    wt: 1:   1 Chain Rule in Reverse Integration Method
  623.    wt: 1:   A Related lessons in Volume 3
  624.    wt: 1:   4 Second derivative test exercise example
  625.    wt: 1:   3 Second derivative test
  626.    wt: 1:   2 Second derivative test prequel
  627.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  628.    wt: 1:   A Chain Rule Real Player video examples
  629.    wt: 1:   36 Cube root derivative animated
  630.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  631.    wt: 1:   26 Chain Rule Recognising outer inner functions
  632.    wt: 1:   25 Chain Rule Animated Examples Continued
  633.    wt: 1:   24 Chain Rule Animated Examples
  634.    wt: 1:   23 Chain Rule in general
  635.    wt: 1:   22 Chain Rule for polynomials
  636.    wt: 1:   21 Chain Rule for powers
  637.    wt: 1:   20 Chain Rule for Pulley Systems
  638.    wt: 1:   18 Chain Rule Introduction
  639.    wt: 1:   17 Derivatives of quotients of sine and cosine
  640.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  641.    wt: 1:   15 sine and cosine derivatives 3rd step
  642.    wt: 1:   14 sine and cosine derivatives 2nd step
  643.    wt: 1:   13 sine and cosine derivatives 1st step
  644.    wt: 1:   12 Quotient rule examples
  645.    wt: 1:   11 Quotient rule
  646.    wt: 1:   9 Reciprocal rule
  647.    wt: 1:   7 Animated Differentiation Examples
  648.    wt: 1:   6 Power rule from product rule
  649.    wt: 1:   5 Product Rule
  650.    wt: 1:   4 Sum Rule
  651.    wt: 1:   2 Motivation for Limit Definition Take 1
  652.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  653.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  654.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  655.    wt: 1:   G.5 Motions With Bounded Velocities
  656.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  657.    wt: 1:   G.3 Constant Difference Theorem Proof
  658.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  659.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  660.    wt: 1:   F.5b Extreme Value Theorem
  661.    wt: 1:   F.5a Equicontinuity Theorems
  662.    wt: 1:   F.4 Finite Covering Theorem
  663.    wt: 1:   F.1 What Functions are Continuous
  664.    wt: 1:   E1 Error Control Inequalities
  665.    wt: 1:   D2 Limits of Monotone Sequences
  666.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  667.    wt: 1:   C Triangle Inequalities
  668.    wt: 1:   B3 Bolzano Weierstrass Theorem
  669.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  670.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  671.    wt: 1:   Chapter 23 Links To Trigonometry
  672.    wt: 1:   Chapter 21 Arrow Addition
  673.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  674.    wt: 1:   Chapter 11. Graphing Slope versus Position
  675.    wt: 1:   Chapter 8. Slope Interpretation
  676.    wt: 1:   Chapter 1.Introduction
  677.    wt: 1:   Foreword
  678.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  679.    wt: 1:   Chapter 31 Direct and Indirect Reason
  680.    wt: 1:   Chapter 21. Third Reading Guide
  681.    wt: 1:   Chapter 11. Why Shorthand
  682.    wt: 1:   Chapter 8 Three Skills For Algebra
  683.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  684.    wt: 1:   Chapter 11 Elementary Instruction
  685.    wt: 1:   Chapter 8 Modern Instruction
  686.    wt: 1:   Chapter 1 Introduction
  687.    wt: 1:   Chapter 21 Occurrence Tables
  688.    wt: 1:   Chapter 11 Accidental Patterns
  689.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  690.    wt: 1:   Chapter 8 Change of Language
  691.    wt: 1:   Chapter 1 Introduction
  692.    wt: 1:   N Improving Marks on Tests and Finals
  693.    wt: 1:   J. More on written work and showing skill
  694.    wt: 1:   H more Routine to non routine problem solving
  695.    wt: 1:   H Jigsaw puzzles and problem solving
  696.    wt: 1:   A. Skill has to be seen to believed
  697.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  698.    wt: 1:   Chapter 8 Skipped Topics and Why
  699.    wt: 1:   Chapter 1 Arithmetic
  700.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  701.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  702.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  703.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  704.    wt: 1:   Road Safety Questions
  705.    wt: 1:   The Math Forum and Site Content
  706.    wt: 1:   Site Reviews
  707.    wt: 10:   10 Graphs of sines and cosines many periods
  708.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  709.    wt: 10:   4 Angles on Maps Plans drawn to scale
  710.    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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