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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40 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  6.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 5:   12 Function Translating and Rescaling/
  8.    wt: 5:   11 Parallel Straight Lines and Transversals/
  9.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  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: 1:   4 Functions/
  18.    wt: 1:   B Real Numbers Extrinsic Development/
  19.    wt: 1:   A Origins of Counting and Figuring Methods/
  20.    wt: 1:   10 Examples of Algebraic Reasoning/
  21.    wt: 1:   9 Proportionality Backwards and Forwards/
  22.    wt: 1:   8 Unifying Theme For Algebra/
  23.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  24.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  25.    wt: 1:   5 Real Numbers/
  26.    wt: 1:   4 Computation Rules and Function Notation/
  27.    wt: 1:   Step 4 Gaussian Elimination/
  28.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  29.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  30.    wt: 1:   Step 1 Stick diagram and fractions/
  31.    wt: 1:   3 Solving Linear Equations/
  32.    wt: 1:   2 Formula Forward Use Evaluation/
  33.    wt: 1:   1 Working With Sets/
  34.    wt: 1:   Algebra Starter Lessons/
  35.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  36.    wt: 1:   5 Lessons on Integration/
  37.    wt: 1:   4 Lessons on Using Derivatives/
  38.    wt: 1:   38 Lessons on Calculating Derivatives/
  39.    wt: 1:   13 Lessons on Limits and Continuity/
  40.    wt: 1:   70 Calculus Starter Lessons/

Web Page Search

45 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   4 Angles on Maps Plans drawn to scale
  3.    wt: 2:   3 Lengths and Areas on Maps and Plans
  4.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  5.    wt: 1:   About site lesson plans
  6.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  7.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  8.    wt: 1:   23 Inverse Functions
  9.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  10.    wt: 1:   15 Sign analysis of functions
  11.    wt: 1:   8 Set view of relations and functions
  12.    wt: 1:   7 Functions with finite domains
  13.    wt: 1:   1 Calculator Starter Exercises
  14.    wt: 1:   13 Velocity Vectors in Physics
  15.    wt: 1:   8 Parallel Vectors
  16.    wt: 1:   6 Vectors with Coordinates
  17.    wt: 1:   3 Navigation with Arrows or Vectors
  18.    wt: 1:   30 unit circle calculation of six trigonometric functions
  19.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  20.    wt: 1:   Unit Circle Development of Trigonometry
  21.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  22.    wt: 1:   8 Unit Circle Development of Trigonometry
  23.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  24.    wt: 1:   Why Trigonometry the whyslopes view
  25.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  26.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  27.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  28.    wt: 1:   6 Figuring with Maps Not to Scale
  29.    wt: 1:   19 Signed Multiples of Vectors
  30.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  31.    wt: 1:   13 Arrows and Vectors in a Plane
  32.    wt: 1:   8 Coordinates for Maps and Planes
  33.    wt: 1:   3 signed coordinates for maps and planes
  34.    wt: 1:   31 Derivatives of inverse functions
  35.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  36.    wt: 1:   26 Chain Rule Recognising outer inner functions
  37.    wt: 1:   19 Chain Rule for linear functions
  38.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  39.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  40.    wt: 1:   F.1 What Functions are Continuous
  41.    wt: 1:   Chapter 23 Links To Trigonometry
  42.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  43.    wt: 1:   Chapter 19. Functions and Sets
  44.    wt: 1:   Chapter 3 Algebra Starter Lessons
  45.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

976 matches:

  1.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  2.    wt: 9:   6 Figuring with Maps Not to Scale
  3.    wt: 8:   13 Velocity Vectors in Physics
  4.    wt: 8:   6 Vectors with Coordinates
  5.    wt: 8:   3 Navigation with Arrows or Vectors
  6.    wt: 8:   30 unit circle calculation of six trigonometric functions
  7.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  8.    wt: 8:   Unit Circle Development of Trigonometry
  9.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  10.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  11.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  12.    wt: 8:   A Measurement with Ruler Proper Use
  13.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  14.    wt: 8:   2 Measuring Area Directly
  15.    wt: 8:   1 Length Measurement
  16.    wt: 7:   A Global Time and Navigation
  17.    wt: 7:   15 Dot and Cross Product
  18.    wt: 7:   12 From Applied To Pure Mathematics
  19.    wt: 7:   11 Component Method
  20.    wt: 7:   10 Parallelogram Addition Method
  21.    wt: 7:   9 Head to Tail Coordinate View
  22.    wt: 7:   8 Parallel Vectors
  23.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  24.    wt: 7:   5 Head To Tail Arrow Addition
  25.    wt: 7:   4 Resultant of a Sum of Movements
  26.    wt: 7:   2 Signed Coordinates
  27.    wt: 7:   1 Unsigned Coordinates
  28.    wt: 7:   Vector and Complex Number Applet
  29.    wt: 7:   17 tangent function angle sum formulas
  30.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  31.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  32.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  33.    wt: 7:   32 seven rows of pascals triangle
  34.    wt: 7:   31 basic secant cosecant cotangent trig identities
  35.    wt: 7:   29 secant cosecant and cotangent for acute angles
  36.    wt: 7:   28 Expressing products of sines cosines as sums
  37.    wt: 7:   27 Logarithmic use of products of sines and cosines
  38.    wt: 7:   26 Formulas for products of sines and cosines
  39.    wt: 7:   25 tangent double angle formula Slope connection
  40.    wt: 7:   24 tangent Angle Difference Formula
  41.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  42.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  43.    wt: 7:   21 sine and cosine Half Angle Formulas
  44.    wt: 7:   20 sine and cosine Double Angle Formulas
  45.    wt: 7:   18 sum of sinusoidal waves as a single wave
  46.    wt: 7:   16 Right Triangle Complementary Angle Relations
  47.    wt: 7:   15 sine cosine Complementary Angle Relations
  48.    wt: 7:   14 cosine even and sine and tangent are odd
  49.    wt: 7:   13 Graph of tangent function many periods
  50.    wt: 7:   12 Graph of tangent function for one period
  51.    wt: 7:   11 tangent function undefined when terminal side vertical
  52.    wt: 7:   10 Graphs of sines and cosines many periods
  53.    wt: 7:   9 Graphs of sine and cosine over one period
  54.    wt: 7:   8 period of tangent function
  55.    wt: 7:   7 period of sine and cosine
  56.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  57.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  58.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  59.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  60.    wt: 7:   2 Quadrant I reference Angles
  61.    wt: 7:   1 Unit Points Reflections Rotations
  62.    wt: 7:   8 Unit Circle Development of Trigonometry
  63.    wt: 7:   8 Triangles Cascade Problem Solving
  64.    wt: 7:   7 Trignometric Ratios Unit Circle
  65.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  66.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  67.    wt: 7:   3 Trigonometric Ratios sine and cosine
  68.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  69.    wt: 7:   1 Angle Measurement with Degrees
  70.    wt: 7:   Why Trigonometry the whyslopes view
  71.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  72.    wt: 6:   16 cotangent function Definition Graph and Inverse
  73.    wt: 6:   15 cosecant function Definition Graph and Inverse
  74.    wt: 6:   14 secant function Definition Graph and Inverse
  75.    wt: 6:   13 cosecant function Definition Graph and Inverse
  76.    wt: 6:   12 motivation for term arctan
  77.    wt: 6:   11 arctan left inverse of tangent Graph
  78.    wt: 6:   10 arctan left inverse of tangent Definition
  79.    wt: 6:   9 motivation for name arcsin
  80.    wt: 6:   8 arcsin left inverse of sine Graph
  81.    wt: 6:   7 arcsin left inverse of sine Definition
  82.    wt: 6:   6 Graph of arccos function
  83.    wt: 6:   5 Swapping Coordinates is a reflection
  84.    wt: 6:   4 possible motivation for term arccos
  85.    wt: 6:   3 Left Inverse of cosine arccos definition
  86.    wt: 6:   2 cosine function more properties
  87.    wt: 6:   1 cosine function properties
  88.    wt: 6:   9 Summary Degrees to Radians and back
  89.    wt: 6:   8 Radian Measures of Common Angles
  90.    wt: 6:   7 Radian Measures in special Triangles
  91.    wt: 6:   6 Radian Measure to Degrees
  92.    wt: 6:   5 Degrees to Radian Measure
  93.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  94.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  95.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  96.    wt: 6:   4 graphing y=Asin(x c)
  97.    wt: 6:   3 graphing y=f(x c) plus K
  98.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  99.    wt: 6:   1 graphing y=f(x a)
  100.    wt: 6:   Parallel Lines and Parallel Transversals
  101.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  102.    wt: 6:   Triangle Angles Sum To 180 Degrees
  103.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  104.    wt: 6:   Parallel Lines and Interior Angles
  105.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  106.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  107.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  108.    wt: 6:   Straight Lines ASA Intersection Study More
  109.    wt: 6:   Straight Lines ASA Intersection Study
  110.    wt: 6:   Straight Lines Instersection Solving Equations
  111.    wt: 6:   Straight Lines Intersection of
  112.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  113.    wt: 6:   C Straight Lines Slope from Coordinates
  114.    wt: 6:   B Straight Line Slope Scaling Properties More
  115.    wt: 6:   A Straight Line Slope Scaling Properties
  116.    wt: 6:   14 Straight Lines Equations General Case
  117.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  118.    wt: 6:   12 Straight Lines Graphing mx plus b
  119.    wt: 6:   11 Straight Lines Graphing y=mx
  120.    wt: 6:   10 Straight Lines through Origin Equations More
  121.    wt: 6:   9 Straight Lines through Origin Equations
  122.    wt: 6:   8 Straight Lines Equation for vertical
  123.    wt: 6:   7 Tangent Function is odd on this domain
  124.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  125.    wt: 6:   5 Tangent Function Graph
  126.    wt: 6:   4 Tangent Function Properties
  127.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  128.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  129.    wt: 6:   1 Straight Lines Slope Concept
  130.    wt: 6:   17G Pythagorean Theorem Converse
  131.    wt: 6:   17F Law of cosines
  132.    wt: 6:   17E Trig Formulas for dot and cross Products
  133.    wt: 6:   17D cis formulas for sine cosines and tangent
  134.    wt: 6:   17C sine and cosine double triple angle formulas
  135.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  136.    wt: 6:   17A The complex number valued trig function cis
  137.    wt: 6:   19 N th Roots of Unity
  138.    wt: 6:   18 Sixth Roots of Unity
  139.    wt: 6:   17 Cube Roots of unity
  140.    wt: 6:   16 References and Originality Question
  141.    wt: 6:   6 Field Properties of Complex Number
  142.    wt: 6:   4 Multiplication Properties
  143.    wt: 6:   3 Addition Properties
  144.    wt: 6:   1 Rectangular Polar Coordinates Review
  145.    wt: 6:   Appetizer A Complex Number Applet
  146.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  147.    wt: 6:   12 Triangles Similarity More Problems
  148.    wt: 6:   11 Triangle Similarity Missing Side Problem
  149.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  150.    wt: 6:   9 Similarity of Triangles Usual Criteria
  151.    wt: 6:   8 Similarity of Triangles and Polygons
  152.    wt: 6:   7 Translations Rotations Reflections Dilatations
  153.    wt: 6:   6 Geometric Diagrams in Class
  154.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  155.    wt: 6:   4 Similarity Definition with Coordinate
  156.    wt: 6:   3 Similarity by Design with coordinates
  157.    wt: 6:   2 Similarity By Design
  158.    wt: 6:   1 Early Concept of Like or Similar Shapes
  159.    wt: 6:   Four Simple Exercises
  160.    wt: 6:   12 Links Lessons elsewhere
  161.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  162.    wt: 6:   8 Mid Point Formula
  163.    wt: 6:   7 Exercises to test skill and concept mastery
  164.    wt: 6:   6 Intersection of lines by solving linear systems
  165.    wt: 6:   5 Algebraic View of Slopes
  166.    wt: 6:   2 point slope equation for a line
  167.    wt: 6:   1 Numerical view of lines and their equations
  168.    wt: 6:   What is and is not here
  169.    wt: 6:   13 Pythagorean spatial distance formulas
  170.    wt: 6:   12 Spatial Coordinates
  171.    wt: 6:   11 Triangle Inequality
  172.    wt: 6:   10 Pythagorean plane distance formula
  173.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  174.    wt: 6:   7 Complex Numbers Appetizer
  175.    wt: 6:   6 Polar Multiplication and Rotation
  176.    wt: 6:   5 Cartesian Addition and Translation
  177.    wt: 6:   4 Polar Coordinates to and from
  178.    wt: 6:   3 Rectangular Coordinates Review
  179.    wt: 6:   2 Cartesian Coordinates with signs
  180.    wt: 6:   1 Cartesian Coordinates sans signs
  181.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  182.    wt: 6:   PS H Distributive Law For Complex Numbers
  183.    wt: 6:   PS G Rotation Distributes over Addition
  184.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  185.    wt: 6:   PS E Multiplication with Polar Coordinates
  186.    wt: 6:   PS D Addition with Cartesian Coordinates
  187.    wt: 6:   PS B Parallelogram Construction Methods
  188.    wt: 6:   PS A Kite Construction Methods
  189.    wt: 6:   21 Parallelograms
  190.    wt: 6:   19 Right Triangle Similarity
  191.    wt: 6:   18 Triangle Similarity Take 1
  192.    wt: 6:   17 Right Bisectors of Triangle Sides
  193.    wt: 6:   16 Angles Subtended By Chords and Diameters
  194.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  195.    wt: 6:   14 Parallel Lines Postulate
  196.    wt: 6:   13 Angle Side Angle Failure
  197.    wt: 6:   12 Side Angle Side Failure
  198.    wt: 6:   11 Triangle Construction Fails
  199.    wt: 6:   10 Dropping a perpendicular to line
  200.    wt: 6:   9 Construction of a right bisector
  201.    wt: 6:   8 Isoceles Triangles
  202.    wt: 6:   7 Angle Side Angle
  203.    wt: 6:   6 Ruler and compass Angle Bisection
  204.    wt: 6:   5 Side Angle Side
  205.    wt: 6:   4 Side Side Side
  206.    wt: 6:   3 Isometry of Triangles Congruence
  207.    wt: 6:   2 Correspondence between Triangles
  208.    wt: 6:   1 Initial Concepts and Terms
  209.    wt: 6:   Short Course on Euclidean Geometry
  210.    wt: 6:   About Folder Contents
  211.    wt: 5:   2 Radian Measure Numerical Value of one degree
  212.    wt: 5:   1 Degrees and Radians Introduction
  213.    wt: 5:   21 Logarithms Powers and Exponentials
  214.    wt: 5:   20 N th Roots of Complex Numbers
  215.    wt: 5:   15 Pythagorean Theorem Converse
  216.    wt: 5:   14 Law of cosines
  217.    wt: 5:   13 Trig Formulas for dot and cross Products
  218.    wt: 5:   12 cis formulas for sine cosines and tangent
  219.    wt: 5:   11 sine and cosine double triple angle formulas
  220.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  221.    wt: 5:   9 The complex number valued trig function cis
  222.    wt: 5:   7 Second Way to Calculate Products
  223.    wt: 5:   5 An Easy Proof of the Distributive Law
  224.    wt: 5:   2 Complex Numbers made easier we hope
  225.    wt: 5:   11 A Partial Summary
  226.    wt: 5:   10 Midpoint of [a b] and [b a]
  227.    wt: 5:   4 Equations for lines three forms
  228.    wt: 5:   3 Slope product for perpendicular lines
  229.    wt: 5:   8 Distance Between Points on a Line
  230.    wt: 3:   Maps Plans Drawings
  231.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  232.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  233.    wt: 3:   23 Inverse Functions
  234.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  235.    wt: 3:   15 Sign analysis of functions
  236.    wt: 3:   8 Set view of relations and functions
  237.    wt: 3:   7 Functions with finite domains
  238.    wt: 3:   19 Signed Multiples of Vectors
  239.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  240.    wt: 3:   13 Arrows and Vectors in a Plane
  241.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  242.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  243.    wt: 2:   About site lesson plans
  244.    wt: 2:   26 Function definitions done and coming
  245.    wt: 2:   22 Square Root function graphically
  246.    wt: 2:   20 Interchanging coordinates a reflection
  247.    wt: 2:   19 Horizontal line rule and method
  248.    wt: 2:   18 Vertical Line Rule and Method
  249.    wt: 2:   17 Function maxima minima and their location
  250.    wt: 2:   16 Increasing or decreasing on intervals
  251.    wt: 2:   14 Surjections Injections Bijections
  252.    wt: 2:   13 From one to one to many to one
  253.    wt: 2:   12 Function Domain Recognition Exercises
  254.    wt: 2:   11 Function Domain Range Source and Targets
  255.    wt: 2:   10 Interval Notation
  256.    wt: 2:   9 Set theory term relation possible origins
  257.    wt: 2:   6 Set Existence Formation and Notation
  258.    wt: 2:   5 Function notation for geometric transformations
  259.    wt: 2:   4 Function notation in and beyond mathematics
  260.    wt: 2:   3 Formula or function graphing exercise
  261.    wt: 2:   2 Algebraic use of function notation
  262.    wt: 2:   1 Geometric Introduction of Function Notation
  263.    wt: 2:   Introduction Reading Guide
  264.    wt: 2:   1 Calculator Starter Exercises
  265.    wt: 2:   musings do not puiblish real numbers
  266.    wt: 2:   A Modular and Remainder Arithmetic
  267.    wt: 2:   A Signed Number Arithmetic Review
  268.    wt: 2:   26 More Less Greater Than Comparison
  269.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  270.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  271.    wt: 2:   23 Distributive Law Two Derivations
  272.    wt: 2:   22 Multiplication of Signed Numbers
  273.    wt: 2:   21 Addition of Multiples of a Single Vector
  274.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  275.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  276.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  277.    wt: 2:   15 Head to Tails in place Addition Associative
  278.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  279.    wt: 2:   12 Real Numbers Line Signed Coordinates
  280.    wt: 2:   11 Signed Number Addition and Addition Properties
  281.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  282.    wt: 2:   9 Division with Digits after Decimal Point
  283.    wt: 2:   8 Division and Mulplication of Compound Fractions
  284.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  285.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  286.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  287.    wt: 2:   4 Location of Point in Decimal Addition
  288.    wt: 2:   3 Location of Point in Decimal Multiplication
  289.    wt: 2:   2 Counting Digits in Decimal Multiplication
  290.    wt: 2:   1 Fractions with Finite Decimal Expansions
  291.    wt: 2:   E Long Division Methods more
  292.    wt: 2:   D Long Division Methods
  293.    wt: 2:   C Three Decimal Subtraction Methods
  294.    wt: 2:   B Decimal Comparison and Subtraction
  295.    wt: 2:   A Decimal Addition Columm Methods
  296.    wt: 2:   8 Column Multiplication Methods in General
  297.    wt: 2:   7 Decimals Multiplication Methods Examples
  298.    wt: 2:   6 Column Methods for Decimal Multiplication
  299.    wt: 2:   5 Distributive Law for Whole Numbers
  300.    wt: 2:   4 Commutative Law Groups Counting Form
  301.    wt: 2:   3 Multiplicative Counting Skills Principles
  302.    wt: 2:   2 Combing Counts Addition Skills and Principles
  303.    wt: 2:   1 The Counting Origins of Numbers
  304.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  305.    wt: 2:   5 Proportionality in Equivalent Fractions
  306.    wt: 2:   4 Rates Ratios and Proporitionality
  307.    wt: 2:   3 Proportionality Examples
  308.    wt: 2:   2 Algebraic View
  309.    wt: 2:   1 What is Proportionality
  310.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  311.    wt: 2:   6 Compound Interest Forward and Backwards
  312.    wt: 2:   3 Linear Equation Literal Solution More
  313.    wt: 2:   2 Linear Equation Literal Solution
  314.    wt: 2:   5 Greater More Less Than Signs in General
  315.    wt: 2:   4 Comparison of Negative Numbers
  316.    wt: 2:   3 More and Less Than with Unlike Signs
  317.    wt: 2:   2 More and Less Than for Counts and Measures
  318.    wt: 2:   12 Real Number Additive Inverses or Negatives
  319.    wt: 2:   10 Real Number Lengths and Signs
  320.    wt: 2:   9 Coordinates for Regions in Space
  321.    wt: 2:   8 Coordinates for Maps and Planes
  322.    wt: 2:   5 Independent versus Dependent Variables
  323.    wt: 2:   More Exercises
  324.    wt: 2:   Simple Exercises
  325.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  326.    wt: 2:   4 GE III Animated Examples
  327.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  328.    wt: 2:   3 GE III Equation Addition and Multiplication
  329.    wt: 2:   2 GE II Comparison
  330.    wt: 2:   1 GE Substitution four examples
  331.    wt: 2:   4 Solving a triangular system exercise
  332.    wt: 2:   3 Solving triangular system example
  333.    wt: 2:   2 Essentially one exercises three with solution
  334.    wt: 2:   1 Essentially One Unknown
  335.    wt: 2:   6 Algebraic Solution Example
  336.    wt: 2:   5 Algebraic Solutions Introduction
  337.    wt: 2:   4 Four Examples Fractional Coefficients
  338.    wt: 2:   3 Four Examples
  339.    wt: 2:   2 Three Examples
  340.    wt: 2:   Skill Development Notes
  341.    wt: 2:   10 One Example
  342.    wt: 2:   9 Three Examples
  343.    wt: 2:   8 One Example
  344.    wt: 2:   7 Two Examples
  345.    wt: 2:   6 Three Examples
  346.    wt: 2:   5 Three Examples
  347.    wt: 2:   4 Two Examples
  348.    wt: 2:   3 Two Examples
  349.    wt: 2:   2 Three Examples
  350.    wt: 2:   Using Letters for Physical Quantities
  351.    wt: 2:   13 Naming Identifying Formulas with Words
  352.    wt: 2:   11 Volume of Sphere
  353.    wt: 2:   10 Volume of Pyramid
  354.    wt: 2:   9 Volume of Cone
  355.    wt: 2:   8 Compound Interest Formula Evaluation
  356.    wt: 2:   7 Compound Interest Formula Introduction
  357.    wt: 2:   9 Sets in Probability and Statistics
  358.    wt: 2:   7 Cautious or Safe Set Construction
  359.    wt: 2:   2 Venn Diagrams
  360.    wt: 2:   6 Three Notions of What is a Variable
  361.    wt: 2:   4 A Brief Story of numbers and algebra
  362.    wt: 2:   3 Adding Words To Arithmetic
  363.    wt: 2:   2 What is a Variable
  364.    wt: 2:   About Folder Contents
  365.    wt: 2:   A Related Material in Volume 3
  366.    wt: 2:   5 Area Under Curve Exercise
  367.    wt: 2:   A Related lessons in Volume 3
  368.    wt: 2:   3 Second derivative test
  369.    wt: 2:   2 Second derivative test prequel
  370.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  371.    wt: 2:   A Chain Rule Real Player video examples
  372.    wt: 2:   36 Cube root derivative animated
  373.    wt: 2:   33 Chain Rule Real Player video examples
  374.    wt: 2:   31 Derivatives of inverse functions
  375.    wt: 2:   30Chain Rule A Proof
  376.    wt: 2:   29 Chain Rule Optional Reading
  377.    wt: 2:   26 Chain Rule Recognising outer inner functions
  378.    wt: 2:   25 Chain Rule Animated Examples Continued
  379.    wt: 2:   24 Chain Rule Animated Examples
  380.    wt: 2:   20 Chain Rule for Pulley Systems
  381.    wt: 2:   19 Chain Rule for linear functions
  382.    wt: 2:   18 Chain Rule Introduction
  383.    wt: 2:   17 Derivatives of quotients of sine and cosine
  384.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  385.    wt: 2:   12 Quotient rule examples
  386.    wt: 2:   11 Quotient rule
  387.    wt: 2:   10 Power rule for negative integers
  388.    wt: 2:   9 Reciprocal rule
  389.    wt: 2:   7 Animated Differentiation Examples
  390.    wt: 2:   6 Power rule from product rule
  391.    wt: 2:   5 Product Rule
  392.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  393.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  394.    wt: 2:   11 Limits at infinity Three Examples
  395.    wt: 2:   10 Three one sided limits with infinite values
  396.    wt: 2:   9 Limits Continuity and Composition
  397.    wt: 2:   8 Four Animated Examples
  398.    wt: 2:   7 Evaluation by immediate or delayed substitution
  399.    wt: 2:   3 Decimal insights for limits continuity convergence
  400.    wt: 2:   2 Algebraic codification
  401.    wt: 2:   1 Numerical introduction
  402.    wt: 2:   Chapter 23 Links To Trigonometry
  403.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  404.    wt: 2:   Chapter 19. Functions and Sets
  405.    wt: 2:   Chapter 3 Algebra Starter Lessons
  406.    wt: 1:   Appendix 2 primary school Arithmetic 01
  407.    wt: 1:   Appendix 1 primary and preschool mathematic
  408.    wt: 1:   K LAMP Musings Science Education
  409.    wt: 1:   J LAMP Introduction Extrinsic Origins
  410.    wt: 1:   I LAMP Introduction Study Habits
  411.    wt: 1:   H LAMP Introduction Instructional Concepts
  412.    wt: 1:   G LAMP Introduction Problem Solving Skills
  413.    wt: 1:   F LAMP Introduction Prerequisites
  414.    wt: 1:   E LAMP Introduction Modern Mathematics
  415.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  416.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  417.    wt: 1:   A Introduction Objectives
  418.    wt: 1:   Skills Chapter 5 Calculus
  419.    wt: 1:   Skills Chapter 4 Logic
  420.    wt: 1:   Ramblings Extrinsic numbers theory
  421.    wt: 1:   Ramblings Introduction Algebra Essay
  422.    wt: 1:   Skills Chapter 3 Algebra
  423.    wt: 1:   Skills Chapter 2 Geometry
  424.    wt: 1:   Skills Chapter 1 Arithmetic
  425.    wt: 1:   Skills Chapter 0 Introduction
  426.    wt: 1:   11 pure mathematics
  427.    wt: 1:   10 statistics
  428.    wt: 1:   9 combinatorics probability sets
  429.    wt: 1:   8 analytic geometry etc
  430.    wt: 1:   7 logic review and decimals an odd combination
  431.    wt: 1:   6 polynomials etc
  432.    wt: 1:   5 logarithms and exponentials etc
  433.    wt: 1:   4 algebra
  434.    wt: 1:   3 Euclidean Geometry Leanly
  435.    wt: 1:   2 arithmetic with signed numbers
  436.    wt: 1:   1 arithmetic with unsigned numbers
  437.    wt: 1:   What is POMME
  438.    wt: 1:   why bother
  439.    wt: 1:   which way to go
  440.    wt: 1:   website reviews
  441.    wt: 1:   three goals to set for students
  442.    wt: 1:   Teach the teachers plus goals
  443.    wt: 1:   permissions for teachers
  444.    wt: 1:   Math Ed if it must be short make it lean effective
  445.    wt: 1:   Applied Maths Program14092009 POMME variant
  446.    wt: 1:   activities for students
  447.    wt: 1:   links Education Resources online
  448.    wt: 1:   site origins
  449.    wt: 1:   site eurekas
  450.    wt: 1:   key notes and themes
  451.    wt: 1:   Mathematics Education Professors
  452.    wt: 1:   teacher certification
  453.    wt: 1:   modern education
  454.    wt: 1:   learning takes time
  455.    wt: 1:   grouping students according to ability
  456.    wt: 1:   what should be learnt and When
  457.    wt: 1:   mathematics in context
  458.    wt: 1:   Postscript 2007 01 10
  459.    wt: 1:   Education Reform Inconsistencies
  460.    wt: 1:   five decades make a difference
  461.    wt: 1:   how letters appear
  462.    wt: 1:   Secondary Three Mathematics
  463.    wt: 1:   Secondary Two Mathematics
  464.    wt: 1:   Secondary One Mathematics
  465.    wt: 1:   talk the algebra talk
  466.    wt: 1:   three difficulties
  467.    wt: 1:   teaching tips
  468.    wt: 1:   What to Tell Students
  469.    wt: 1:   mathematics curriculum shifts
  470.    wt: 1:   geometric implications for algebra
  471.    wt: 1:   teaching tutoring algebraic reason
  472.    wt: 1:   Lessening Algebra Difficulties
  473.    wt: 1:   the trouble with algebra
  474.    wt: 1:   three goals for Mathematics Education
  475.    wt: 1:   05 13 OldSiteEntrancePage
  476.    wt: 1:   04 29 New Mathematics Curriculum
  477.    wt: 1:   04 25 when to stop or suspend mathemat
  478.    wt: 1:   02 21 words for teachers
  479.    wt: 1:   02 20 mathematics education references
  480.    wt: 1:   three aims for mathematics students
  481.    wt: 1:   standards for course material
  482.    wt: 1:   Operational Viewpoint to Value
  483.    wt: 1:   formal or informal peer review
  484.    wt: 1:   Theory of Knowledge
  485.    wt: 1:   mathematics instruction in general
  486.    wt: 1:   Education in mathematics science and technology
  487.    wt: 1:   Different Kinds of Reasoning in maths
  488.    wt: 1:   three kinds of reason in mathematics
  489.    wt: 1:   cultivating intelligence
  490.    wt: 1:   Four ways to improve education reform
  491.    wt: 1:   How to be a better instructor
  492.    wt: 1:   Motivation and Context Problem
  493.    wt: 1:   need for a mixed mathematics curriculum
  494.    wt: 1:   Leaner mathematics curriculum
  495.    wt: 1:   Prequel In For A Penny In For A Pound
  496.    wt: 1:   education an empirical art
  497.    wt: 1:   fairness and inductive principles for instruction
  498.    wt: 1:   words for mathematics instructor
  499.    wt: 1:   chapitre 12 00 les iles et division
  500.    wt: 1:   chapitre 07 01 principle D induction mathematique
  501.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  502.    wt: 1:   chapitre 06 00 Chaines de la raison
  503.    wt: 1:   chapitre 05 00 Deception
  504.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  505.    wt: 1:   chapitre 04 09 Regles accidentelles
  506.    wt: 1:   chapitre 04 08 Limitations et benefices
  507.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  508.    wt: 1:   chapitre 04 06 engagements
  509.    wt: 1:   chapitre 04 05 Implication versus suggestion
  510.    wt: 1:   chapitre 04 04 Parlons de la logique
  511.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  512.    wt: 1:   chapitre 04 02 Deuxieme enigme
  513.    wt: 1:   chapitre 04 01 Premiere enigme
  514.    wt: 1:   chapitre 04 00 Les regles d implication
  515.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  516.    wt: 1:   chapitre 02 00 La Communication des idees
  517.    wt: 1:   chapitre 01 00 Introduction
  518.    wt: 1:   liens
  519.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  520.    wt: 1:   problemes responses
  521.    wt: 1:   problemes algebre et arithmetique
  522.    wt: 1:   Trois Notions qui menent a algebre
  523.    wt: 1:   deux definitions pour variable
  524.    wt: 1:   logique deux enigme
  525.    wt: 1:   4 Energy Power Heat09
  526.    wt: 1:   3 Energy Power Heat08
  527.    wt: 1:   2 Energy Power Heat07
  528.    wt: 1:   1 Energy Power Heat06
  529.    wt: 1:   E Energy Power05
  530.    wt: 1:   D Energy Power04
  531.    wt: 1:   C Energy Power03
  532.    wt: 1:   B Energy Power02
  533.    wt: 1:   A Energy Power01
  534.    wt: 1:   2 Conductance Resistance Duality02
  535.    wt: 1:   1 Conductance Resistance Duality01
  536.    wt: 1:   F Wire Resistance Calculation04
  537.    wt: 1:   E Wire Resistance Calculation03
  538.    wt: 1:   D Wire Resistance Calculation02
  539.    wt: 1:   C Wire Resistance Calculation01
  540.    wt: 1:   B Wire Resistance Qualitative02
  541.    wt: 1:   A Wire Resistance Qualitative01
  542.    wt: 1:   3 Like resistors in parallel
  543.    wt: 1:   2 Unlike resistors in parallel01
  544.    wt: 1:   1 Like resistors in series
  545.    wt: 1:   H Series Circuit02
  546.    wt: 1:   G Series Circuit01
  547.    wt: 1:   F Unlike Resistors in Series
  548.    wt: 1:   E Kirchoffs Second Law
  549.    wt: 1:   D Kirchoff First Law
  550.    wt: 1:   C Electromotive force conventional current02
  551.    wt: 1:   B Electromotive force conventional current01
  552.    wt: 1:   A Circuit Elements
  553.    wt: 1:   Home Tutoring and Home Schooling
  554.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  555.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  556.    wt: 1:   24 Standards For Skill Develoment Take II
  557.    wt: 1:   24 Standards For Skill Develoment
  558.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  559.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  560.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  561.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  562.    wt: 1:   22 Student Centered Highschool Mathematics
  563.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  564.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  565.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  566.    wt: 1:   18 Primary School Mathematics
  567.    wt: 1:   17 Math Booklets for children and young teenagers
  568.    wt: 1:   16 Secondary Mathematics Tips
  569.    wt: 1:   15 Counting For Parents
  570.    wt: 1:   14 Multiplication and Times Tables
  571.    wt: 1:   13 Addition and Addition Tables
  572.    wt: 1:   12 Goals and Objectives For Mathematics
  573.    wt: 1:   11 Help and Defend Your Child or Teens Education
  574.    wt: 1:   10 Ends values for work study instruction
  575.    wt: 1:   9 Streaming by Student Cooperation
  576.    wt: 1:   8 The Effect of Negative Remarks
  577.    wt: 1:   7 Student Motivation
  578.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  579.    wt: 1:   5 Patience Please for Yourself and Your Charges
  580.    wt: 1:   4 Learning Takes Time and Effort
  581.    wt: 1:   3 Preparing for Science Studies
  582.    wt: 1:   2 Reading and Writing Skills
  583.    wt: 1:   1 Speaking Skills
  584.    wt: 1:   Ages 8 to 9
  585.    wt: 1:   Ages 7 to 8
  586.    wt: 1:   Ages 6 to 7
  587.    wt: 1:   Ages 4 plus to 5 plus
  588.    wt: 1:   Ages 3 plus to 4 plus
  589.    wt: 1:   sign monoticity analysis example 4
  590.    wt: 1:   sign monoticity analysis example 3
  591.    wt: 1:   sign monoticity analysis example 2
  592.    wt: 1:   sign monoticity analysis example 1
  593.    wt: 1:   10 quadratic exercises
  594.    wt: 1:   9 quadratics physical and further context
  595.    wt: 1:   8 quadratics backward use of various formulas
  596.    wt: 1:   6 quadratics numerical approach
  597.    wt: 1:   4 quadratics difference of two squares
  598.    wt: 1:   1 quadratics graphing exercises
  599.    wt: 1:   Quadratics in 10 steps
  600.    wt: 1:   11 Growth and Decay in Biology
  601.    wt: 1:   5 Natural Logarithm Calculator Exercises
  602.    wt: 1:   8 Notes for instructors or tutors
  603.    wt: 1:   7 Links Lessons Elsewhere
  604.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  605.    wt: 1:   4 Polynomials Long division linear divisor
  606.    wt: 1:   3 Polynomials Multiplication Addition
  607.    wt: 1:   2 Column Multiplication Method
  608.    wt: 1:   1 Polynomials Distributive Law
  609.    wt: 1:   Rewriting algebraic substitution as function substitutions
  610.    wt: 1:   5 Areas of Rectangles Revisited
  611.    wt: 1:   4 Fraction Operations Axiomatic Development
  612.    wt: 1:   3 Inequalities Algebraically
  613.    wt: 1:   2 Fraction Operations Physical Development
  614.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  615.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  616.    wt: 1:   5 Triangle Area Formula Backwards
  617.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  618.    wt: 1:   1 Changing Calculations
  619.    wt: 1:   6 Equations and Systems Equivalent or Implied
  620.    wt: 1:   5 Equality in Algebra
  621.    wt: 1:   4 Subtraction and Division Axioms
  622.    wt: 1:   3 Product Axioms Two Forms
  623.    wt: 1:   2 Addition and Multiplication Axioms
  624.    wt: 1:   1 Equivalent Computation Rules
  625.    wt: 1:   1 Real Numbers Comparison
  626.    wt: 1:   16 Real Numbers Comparison
  627.    wt: 1:   15 Real Number Division
  628.    wt: 1:   14 Real Number Multiplication
  629.    wt: 1:   13 Real Number Subtraction
  630.    wt: 1:   11 Real Number Addition
  631.    wt: 1:   7 Real Numbers as Line Cordinates
  632.    wt: 1:   6 Unsigned Real Numbers
  633.    wt: 1:   5 Rational Numbers More
  634.    wt: 1:   4 Rational Numbers
  635.    wt: 1:   3 Fractions
  636.    wt: 1:   2 Integers
  637.    wt: 1:   1 Whole and Natural Numbers
  638.    wt: 1:   4 Changing Letters
  639.    wt: 1:   3 Geometric Formulas and Function Notation
  640.    wt: 1:   2 Computation Rules Evaluation
  641.    wt: 1:   1 Formulas Dependence and Function Notation
  642.    wt: 1:   1 Proper Equal Sign Usage
  643.    wt: 1:   Formula Usage Show Work Format
  644.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  645.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  646.    wt: 1:   5 Box Volume Formula Example
  647.    wt: 1:   4 Circle Area Formula Example
  648.    wt: 1:   3 Triangle Area Formula Example
  649.    wt: 1:   2 Another Rectangle Area Formula Example
  650.    wt: 1:   1 Written work formats for developing and showing skill
  651.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  652.    wt: 1:   8 Sets of Numbers
  653.    wt: 1:   6 Power Set Notation
  654.    wt: 1:   5 Product Builder Notation
  655.    wt: 1:   4 Subset Builder Notation
  656.    wt: 1:   3 Counting with Sets etc
  657.    wt: 1:   1 Finite Sets
  658.    wt: 1:   5 Talking about Numbers and Quantities
  659.    wt: 1:   1 Three Skills For Algebra
  660.    wt: 1:   arithmetic videos Real Player Format
  661.    wt: 1:   4 Greater More Less Than Signs in General
  662.    wt: 1:   3 Comparison of Negative Numbers
  663.    wt: 1:   2 More and Less Than with Unlike Signs
  664.    wt: 1:   1 More and Less Than for Counts and Measures
  665.    wt: 1:   7 negative and additive inverse
  666.    wt: 1:   6 adding signed numbers
  667.    wt: 1:   5 lengths and signs of numbers
  668.    wt: 1:   4 signed coordinates for regions in space
  669.    wt: 1:   3 signed coordinates for maps and planes
  670.    wt: 1:   7 Converting or Changing Units
  671.    wt: 1:   6 Simplification of Fractions with Units
  672.    wt: 1:   4 Fractions with Units
  673.    wt: 1:   3 Multiplying Units and Numbers
  674.    wt: 1:   2 Equality and Units
  675.    wt: 1:   1 Addition and Subtraction with Units
  676.    wt: 1:   D Three Term Ratios
  677.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  678.    wt: 1:   B Fractions and Two Term Ratios
  679.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  680.    wt: 1:   21 Working With Signs
  681.    wt: 1:   21 Reciprocals for Fractions and Wholes
  682.    wt: 1:   20 Dividing Fractions the Why
  683.    wt: 1:   19 Dividing Fractions How TO
  684.    wt: 1:   18 Efficient Ways to Multiply
  685.    wt: 1:   17 Efficient Ways to Add and Subtract
  686.    wt: 1:   16 Addition Subtraction Comparision Compared
  687.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  688.    wt: 1:   14 Adding and Subtracting with Like Denominators
  689.    wt: 1:   13 Fraction Comparison Algebraic View
  690.    wt: 1:   12 Fraction Comparison
  691.    wt: 1:   11 Simplification an Algebraic View
  692.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  693.    wt: 1:   9 Improper Fractions and Mixed Numbers
  694.    wt: 1:   8 Numerals Fractionals Quantals Take II
  695.    wt: 1:   7 Numerals Fractionals Quantals
  696.    wt: 1:   6 Multiplication Algebraically Take II
  697.    wt: 1:   5 Equivalent Fractions
  698.    wt: 1:   4 Fraction Multiplication
  699.    wt: 1:   3 Unit fraction of a fraction
  700.    wt: 1:   2 Unit Fraction Multiplication
  701.    wt: 1:   1 What is a fraction Take II
  702.    wt: 1:   1 What is a fraction
  703.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  704.    wt: 1:   B Integer Long Division Multiple Choices
  705.    wt: 1:   A Associative Law Theorectical Note
  706.    wt: 1:   12 Adding Integers More Examples
  707.    wt: 1:   11 Adding Integers Formulas and Examples
  708.    wt: 1:   9 Multiplying Integers
  709.    wt: 1:   8 Multiplication by Signed Numbers Integers
  710.    wt: 1:   7 Multiplication by Signs
  711.    wt: 1:   6 Multiplication by Natural Numbers
  712.    wt: 1:   5 Zero Movement and Additive Inverses
  713.    wt: 1:   4 Adding Movements wiht opposite directions
  714.    wt: 1:   3 Adding Movements with same direction
  715.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  716.    wt: 1:   1 Integers as Coordinates
  717.    wt: 1:   20 Uniqueness of Prime Factorization
  718.    wt: 1:   17 Identify and Count Factors using Primes
  719.    wt: 1:   12 LCD GCD and LCM using Primes
  720.    wt: 1:   11 Efficient Square Rule Use
  721.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  722.    wt: 1:   2 Prime and Composites less than 16
  723.    wt: 1:   12 Why Long Division Works Take III
  724.    wt: 1:   11 Another Single Digit Divisor Example
  725.    wt: 1:   10 Division by Five Long and Short Ways
  726.    wt: 1:   9 Why Long Division Works Take II
  727.    wt: 1:   8 Correcting the Mistake
  728.    wt: 1:   7 Long Divison Mistake Catching
  729.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  730.    wt: 1:   5 Long Division Include Zeroes or not
  731.    wt: 1:   4 Division with 2 Digit Divsors
  732.    wt: 1:   3 Division Single Digit Divisor Example
  733.    wt: 1:   2 Division with Single Digit Divisors
  734.    wt: 1:   1 Divsion Physical Examples
  735.    wt: 1:   D Decimal Multiplication Methods Derived
  736.    wt: 1:   C Counting Areas with Powers of Ten
  737.    wt: 1:   B Powers of Ten
  738.    wt: 1:   A Elementary Basis for Multiplication Methods
  739.    wt: 1:   6 Multiplication Commutes Order Not Important
  740.    wt: 1:   4 Two and Three Digit Multipliers
  741.    wt: 1:   3 More One Digit Multipliers
  742.    wt: 1:   2 One Digit Multipliers
  743.    wt: 1:   1 Why 3 times 5 gives 15
  744.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  745.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  746.    wt: 1:   9 22 Minute Subtraction Review Video
  747.    wt: 1:   8 Subtraction with Units of Measure
  748.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  749.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  750.    wt: 1:   5 A Tip for Efficent Subtraction
  751.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  752.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  753.    wt: 1:   2 Subtraction Easy Case Examples
  754.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  755.    wt: 1:   8 What skills and work habits to require
  756.    wt: 1:   7 Adding decimal fractions using decimal point
  757.    wt: 1:   6. Counting and adding units and mixed units
  758.    wt: 1:   5. How to add decimals C. Examples
  759.    wt: 1:   4. How to add with decimals B with conversions
  760.    wt: 1:   3. How to add with decimals A sans conversions
  761.    wt: 1:   2 Decimal Counting Practices
  762.    wt: 1:   1. Explaining Addition Table
  763.    wt: 1:   11 Place Value SI Standard International way
  764.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  765.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  766.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  767.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  768.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  769.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  770.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  771.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  772.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  773.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  774.    wt: 1:   Quick history of numbers and algebra
  775.    wt: 1:   Exact Arithmetic Wholes and Fractions
  776.    wt: 1:   The 20 Times Table
  777.    wt: 1:   The 12 Times Table Visually
  778.    wt: 1:   About folder contents
  779.    wt: 1:   016 Numbering Occidental Calendar Days
  780.    wt: 1:   015 School and work day counting tables
  781.    wt: 1:   014 Counting Days with Calendars
  782.    wt: 1:   013 Travel Time Tables
  783.    wt: 1:   012 Division of Time Intervals by Time Intervals
  784.    wt: 1:   011 Division of Time Intervals By Numbers
  785.    wt: 1:   010 Repeated Addition of Time Intervals
  786.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  787.    wt: 1:   8 Addition of Time Intervals via subtotaling
  788.    wt: 1:   7 Addition of Time Intervals
  789.    wt: 1:   5 Conversion Arithmetic
  790.    wt: 1:   4 Mixing and Changing Units of Time
  791.    wt: 1:   3 Units and Lengths of Time
  792.    wt: 1:   2 Time and Date Matters in School
  793.    wt: 1:   1 Intro of Kids To Time Date Skills
  794.    wt: 1:   Example 2 volume of a cone
  795.    wt: 1:   Example 1 volume of a pyramid
  796.    wt: 1:   Volume of Solid by Cross Sections Lesson
  797.    wt: 1:   Example 1. Area Between x and x squared
  798.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  799.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  800.    wt: 1:   Example 4 with x function of y
  801.    wt: 1:   Example 3
  802.    wt: 1:   Example 2
  803.    wt: 1:   Example 1
  804.    wt: 1:   Area Between Curves Lesson Take 2
  805.    wt: 1:   Area Between Curves Lesson Take 1
  806.    wt: 1:   Summary
  807.    wt: 1:   4 Definite Integrals Evaluation Exercises
  808.    wt: 1:   3 Two Chain Rule Method Exercises
  809.    wt: 1:   2 Indefinite Integrals Exercises
  810.    wt: 1:   1 Chain Rule in Reverse Integration Method
  811.    wt: 1:   4 Second derivative test exercise example
  812.    wt: 1:   38 Formulas and derivatives for powers and roots
  813.    wt: 1:   34 Derivative of exponential function
  814.    wt: 1:   28 Chain Rule Preparation for a Proof
  815.    wt: 1:   23 Chain Rule in general
  816.    wt: 1:   22 Chain Rule for polynomials
  817.    wt: 1:   21 Chain Rule for powers
  818.    wt: 1:   15 sine and cosine derivatives 3rd step
  819.    wt: 1:   14 sine and cosine derivatives 2nd step
  820.    wt: 1:   13 sine and cosine derivatives 1st step
  821.    wt: 1:   8 Differentiation of polynomials
  822.    wt: 1:   4 Sum Rule
  823.    wt: 1:   3 Motivation for Limit Definition Take 2
  824.    wt: 1:   2 Motivation for Limit Definition Take 1
  825.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  826.    wt: 1:   6 Continuity at a point
  827.    wt: 1:   5 Jumps and absence of unlimited error control
  828.    wt: 1:   4 Numerical properties
  829.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  830.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  831.    wt: 1:   F.1 What Functions are Continuous
  832.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  833.    wt: 1:   PostScript For and Against Decimal Perspectives
  834.    wt: 1:   A1. Introduction
  835.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  836.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  837.    wt: 1:   Chapter 13. Acceleration
  838.    wt: 1:   Chapter 12. Units and Slopes
  839.    wt: 1:   Chapter 11. Graphing Slope versus Position
  840.    wt: 1:   Chapter 10 Slopes and Units
  841.    wt: 1:   Chapter 9 About First Courses in Calculus
  842.    wt: 1:   Chapter 8. Slope Interpretation
  843.    wt: 1:   Chapter 7 Slopes and Velocity
  844.    wt: 1:   Chapter 5. Slope Sign Tests
  845.    wt: 1:   Chapter 3. Slope Sign Analysis
  846.    wt: 1:   Chapter 1.Introduction
  847.    wt: 1:   Fall 1983 Calculus Appetizer
  848.    wt: 1:   Foreword
  849.    wt: 1:   Postscript More on Better Performance
  850.    wt: 1:   Postscript For Better Performance
  851.    wt: 1:   Appendix E. How To Study Mathematics and Why
  852.    wt: 1:   Appendix D. What to do in School and Why
  853.    wt: 1:   Appendix C. How to Read
  854.    wt: 1:   Appendix B. How To Learn
  855.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  856.    wt: 1:   Chapter 31 Direct and Indirect Reason
  857.    wt: 1:   Chapter 30 Truth Tables
  858.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  859.    wt: 1:   Chapter 28 Occurrence Tables
  860.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  861.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  862.    wt: 1:   Chapter 21. Third Reading Guide
  863.    wt: 1:   Chapter 18. Rules for Algebra
  864.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  865.    wt: 1:   Chapter 16. Painless Theorem Proving
  866.    wt: 1:   Chapter 15. Solving Linear Equations
  867.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  868.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  869.    wt: 1:   Chapter 13. Second Reading Guide
  870.    wt: 1:   Chapter 12. Shorthand Usage Guide
  871.    wt: 1:   Chapter 11. Why Shorthand
  872.    wt: 1:   Chapter 10 Describing and Changing Calculations
  873.    wt: 1:   Postscript What is a Variable
  874.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  875.    wt: 1:   Solutions For Arithmetic Exercises
  876.    wt: 1:   Chapter 6 Change of Language
  877.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  878.    wt: 1:   Chapter 4 Longer Chains of Reason
  879.    wt: 1:   Chapter 3 Chains of Reason
  880.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  881.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  882.    wt: 1:   Foreword
  883.    wt: 1:   Annotated Links to Material Elsehwere
  884.    wt: 1:   Postscript B Mathematics Education References
  885.    wt: 1:   Postscript A Three Remarks
  886.    wt: 1:   Chapter 12 Four Phases
  887.    wt: 1:   Chapter 11 Elementary Instruction
  888.    wt: 1:   Chapter 10 Transition
  889.    wt: 1:   Chapter 9 The Two Ends
  890.    wt: 1:   Chapter 8 Modern Instruction
  891.    wt: 1:   Chapter 7 Two Treatments of Geometry
  892.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  893.    wt: 1:   Chapter 5 Four References
  894.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  895.    wt: 1:   Chapter 3 Algebra Difficulties
  896.    wt: 1:   Chapter 2 For and Against Mathematics
  897.    wt: 1:   Chapter 1 Introduction
  898.    wt: 1:   Foreword
  899.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  900.    wt: 1:   Postscript C Consistency as a Tool for Reason
  901.    wt: 1:   Postscript B More on Story Telling and Reason
  902.    wt: 1:   Postscript A Story Telling
  903.    wt: 1:   Chapter 24 Direct and Indirect Reason
  904.    wt: 1:   Chapter 23 Truth Tables
  905.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  906.    wt: 1:   Chapter 21 Occurrence Tables
  907.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  908.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  909.    wt: 1:   Chapter 18 Sense and Knowledge
  910.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  911.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  912.    wt: 1:   Chapter 15 Objective Processes
  913.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  914.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  915.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  916.    wt: 1:   Chapter 11 Accidental Patterns
  917.    wt: 1:   Chapter 10 Responsibility
  918.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  919.    wt: 1:   Chapter 8 Change of Language
  920.    wt: 1:   Chapter 7 Longer Chains of Reason
  921.    wt: 1:   Chapter 6 Chains of Reason
  922.    wt: 1:   Chapter 5 Deception
  923.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  924.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  925.    wt: 1:   Chapter 2 Skill Development
  926.    wt: 1:   Chapter 1 Introduction
  927.    wt: 1:   Three Remarks
  928.    wt: 1:   Foreword
  929.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  930.    wt: 1:   S Adding words to algebra
  931.    wt: 1:   R Why Learn Mathematics Skills
  932.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  933.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  934.    wt: 1:   O On Learning Mathematics and Science
  935.    wt: 1:   N Mathematics Prepare for College Studies
  936.    wt: 1:   M Words to extend arithmetic
  937.    wt: 1:   L Skills with take home value
  938.    wt: 1:   J. More on written work and showing skill
  939.    wt: 1:   I. Logic and language skills
  940.    wt: 1:   H more Routine to non routine problem solving
  941.    wt: 1:   H Jigsaw puzzles and problem solving
  942.    wt: 1:   F. The student teacher tutor feedback loop
  943.    wt: 1:   E. When and how to correct errors
  944.    wt: 1:   D. Check work a must with a caution
  945.    wt: 1:   C. Domino effect of being careful
  946.    wt: 1:   B. Domino effect of errors
  947.    wt: 1:   A. Skill has to be seen to believed
  948.    wt: 1:   How to Build Skills and Confidence
  949.    wt: 1:   Chapter 8 Skipped Topics and Why
  950.    wt: 1:   Chapter 6 More Algebra and Geometry
  951.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  952.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  953.    wt: 1:   Chapter 2 Why Sets
  954.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  955.    wt: 1:   7 Games and Activities for Instruction
  956.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  957.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  958.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  959.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  960.    wt: 1:   Helping the Blind in Logic and Mathematics
  961.    wt: 1:   Mathematics Education References
  962.    wt: 1:   Mathematics Education References
  963.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  964.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  965.    wt: 1:   Implementation Notes
  966.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  967.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  968.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  969.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  970.    wt: 1:   Which Way To Go
  971.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  972.    wt: 1:   Road Safety Questions
  973.    wt: 1:   The Math Forum and Site Content
  974.    wt: 1:   Site Reviews
  975.    wt: 10:   4 Angles on Maps Plans drawn to scale
  976.    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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