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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

35 matches:

  1.    wt: 7:   7 Complex Numbers/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   8 Unit Circle Trigonometry/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  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: 2:   12 Comparison of Unsigned and Signed Numbers/
  18.    wt: 2:   8 Arithmetic with Signed Numbers/
  19.    wt: 1:   B Real Numbers Extrinsic Development/
  20.    wt: 1:   5 Real Numbers/
  21.    wt: 1:   11 Squares and Square Roots/
  22.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 1:   9 Combinatorics Trees Tables and Products/
  24.    wt: 1:   7 Arithmetic and Fractions with Units/
  25.    wt: 1:   6 Fractions and Ratios/
  26.    wt: 1:   5 Integers/
  27.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  28.    wt: 1:   3 Prime Factorization Skills/
  29.    wt: 1:   D Decimal Long Division Methods/
  30.    wt: 1:   C Decimal Multiplication Methods/
  31.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 1:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   2 Arithmetic with Decimals/
  34.    wt: 1:   1 Decimal Place Value/
  35.    wt: 1:   Arithmetic and Number Theory Skills/

Web Page Search

101 matches:

  1.    wt: 3:   6 Field Properties of Complex Number
  2.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  3.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  4.    wt: 2:   Maps Plans Drawings
  5.    wt: 2:   Vector and Complex Number Applet
  6.    wt: 2:   17A The complex number valued trig function cis
  7.    wt: 2:   20 N th Roots of Complex Numbers
  8.    wt: 2:   9 The complex number valued trig function cis
  9.    wt: 2:   2 Complex Numbers made easier we hope
  10.    wt: 2:   Appetizer A Complex Number Applet
  11.    wt: 2:   7 Complex Numbers Appetizer
  12.    wt: 2:   PS H Distributive Law For Complex Numbers
  13.    wt: 2:   4 Angles on Maps Plans drawn to scale
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  16.    wt: 2:   11 Signed Number Addition and Addition Properties
  17.    wt: 2:   Chapter 22 Complex Numbers
  18.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  19.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  20.    wt: 1:   Ramblings Extrinsic numbers theory
  21.    wt: 1:   2 arithmetic with signed numbers
  22.    wt: 1:   1 arithmetic with unsigned numbers
  23.    wt: 1:   About site lesson plans
  24.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  25.    wt: 1:   2 cosine function more properties
  26.    wt: 1:   1 cosine function properties
  27.    wt: 1:   13 Velocity Vectors in Physics
  28.    wt: 1:   8 Parallel Vectors
  29.    wt: 1:   6 Vectors with Coordinates
  30.    wt: 1:   3 Navigation with Arrows or Vectors
  31.    wt: 1:   B Straight Line Slope Scaling Properties More
  32.    wt: 1:   A Straight Line Slope Scaling Properties
  33.    wt: 1:   4 Tangent Function Properties
  34.    wt: 1:   Unit Circle Development of Trigonometry
  35.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  36.    wt: 1:   8 Unit Circle Development of Trigonometry
  37.    wt: 1:   4 Multiplication Properties
  38.    wt: 1:   3 Addition Properties
  39.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  40.    wt: 1:   Why Trigonometry the whyslopes view
  41.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  42.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  43.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  44.    wt: 1:   6 Figuring with Maps Not to Scale
  45.    wt: 1:   musings do not puiblish real numbers
  46.    wt: 1:   A Signed Number Arithmetic Review
  47.    wt: 1:   22 Multiplication of Signed Numbers
  48.    wt: 1:   19 Signed Multiples of Vectors
  49.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  50.    wt: 1:   13 Arrows and Vectors in a Plane
  51.    wt: 1:   12 Real Numbers Line Signed Coordinates
  52.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  53.    wt: 1:   5 Distributive Law for Whole Numbers
  54.    wt: 1:   1 The Counting Origins of Numbers
  55.    wt: 1:   4 Comparison of Negative Numbers
  56.    wt: 1:   1 Real Numbers Comparison
  57.    wt: 1:   16 Real Numbers Comparison
  58.    wt: 1:   15 Real Number Division
  59.    wt: 1:   14 Real Number Multiplication
  60.    wt: 1:   13 Real Number Subtraction
  61.    wt: 1:   12 Real Number Additive Inverses or Negatives
  62.    wt: 1:   11 Real Number Addition
  63.    wt: 1:   10 Real Number Lengths and Signs
  64.    wt: 1:   8 Coordinates for Maps and Planes
  65.    wt: 1:   7 Real Numbers as Line Cordinates
  66.    wt: 1:   6 Unsigned Real Numbers
  67.    wt: 1:   5 Rational Numbers More
  68.    wt: 1:   4 Rational Numbers
  69.    wt: 1:   1 Whole and Natural Numbers
  70.    wt: 1:   8 Sets of Numbers
  71.    wt: 1:   5 Talking about Numbers and Quantities
  72.    wt: 1:   4 A Brief Story of numbers and algebra
  73.    wt: 1:   3 Comparison of Negative Numbers
  74.    wt: 1:   3 Properties of Square Roots with example
  75.    wt: 1:   11 What are real lengths and numbers
  76.    wt: 1:   10 dividing signed numbers
  77.    wt: 1:   9 subtracting signed numbers
  78.    wt: 1:   8 multiplying signed numbers
  79.    wt: 1:   6 adding signed numbers
  80.    wt: 1:   5 lengths and signs of numbers
  81.    wt: 1:   3 signed coordinates for maps and planes
  82.    wt: 1:   2 signed and unsigned numbers as coordinates
  83.    wt: 1:   3 Multiplying Units and Numbers
  84.    wt: 1:   22 Complex Compound Fractions
  85.    wt: 1:   9 Improper Fractions and Mixed Numbers
  86.    wt: 1:   6 Multiplication of Mixed Numbers
  87.    wt: 1:   8 Multiplication by Signed Numbers Integers
  88.    wt: 1:   6 Multiplication by Natural Numbers
  89.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  90.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  91.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  92.    wt: 1:   Quick history of numbers and algebra
  93.    wt: 1:   016 Numbering Occidental Calendar Days
  94.    wt: 1:   011 Division of Time Intervals By Numbers
  95.    wt: 1:   4 Numerical properties
  96.    wt: 1:   E2 Algebraic Properties of Limits
  97.    wt: 1:   Chapter 23 Links To Trigonometry
  98.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  99.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  100.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  101.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

519 matches:

  1.    wt: 9:   20 N th Roots of Complex Numbers
  2.    wt: 9:   9 The complex number valued trig function cis
  3.    wt: 9:   2 Complex Numbers made easier we hope
  4.    wt: 9:   Appetizer A Complex Number Applet
  5.    wt: 9:   4 Angles on Maps Plans drawn to scale
  6.    wt: 9:   3 Lengths and Areas on Maps and Plans
  7.    wt: 8:   Vector and Complex Number Applet
  8.    wt: 8:   17A The complex number valued trig function cis
  9.    wt: 8:   8 Unit Circle Development of Trigonometry
  10.    wt: 8:   4 Multiplication Properties
  11.    wt: 8:   3 Addition Properties
  12.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  13.    wt: 8:   6 Figuring with Maps Not to Scale
  14.    wt: 7:   13 Velocity Vectors in Physics
  15.    wt: 7:   8 Parallel Vectors
  16.    wt: 7:   6 Vectors with Coordinates
  17.    wt: 7:   3 Navigation with Arrows or Vectors
  18.    wt: 7:   Unit Circle Development of Trigonometry
  19.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  20.    wt: 7:   21 Logarithms Powers and Exponentials
  21.    wt: 7:   19 N th Roots of Unity
  22.    wt: 7:   18 Sixth Roots of Unity
  23.    wt: 7:   17 Cube Roots of unity
  24.    wt: 7:   16 References and Originality Question
  25.    wt: 7:   15 Pythagorean Theorem Converse
  26.    wt: 7:   14 Law of cosines
  27.    wt: 7:   13 Trig Formulas for dot and cross Products
  28.    wt: 7:   12 cis formulas for sine cosines and tangent
  29.    wt: 7:   11 sine and cosine double triple angle formulas
  30.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  31.    wt: 7:   7 Second Way to Calculate Products
  32.    wt: 7:   5 An Easy Proof of the Distributive Law
  33.    wt: 7:   1 Rectangular Polar Coordinates Review
  34.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  35.    wt: 7:   Why Trigonometry the whyslopes view
  36.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  37.    wt: 7:   7 Complex Numbers Appetizer
  38.    wt: 7:   PS H Distributive Law For Complex Numbers
  39.    wt: 7:   A Measurement with Ruler Proper Use
  40.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  41.    wt: 7:   2 Measuring Area Directly
  42.    wt: 7:   1 Length Measurement
  43.    wt: 6:   2 cosine function more properties
  44.    wt: 6:   1 cosine function properties
  45.    wt: 6:   A Global Time and Navigation
  46.    wt: 6:   15 Dot and Cross Product
  47.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  48.    wt: 6:   12 From Applied To Pure Mathematics
  49.    wt: 6:   11 Component Method
  50.    wt: 6:   10 Parallelogram Addition Method
  51.    wt: 6:   9 Head to Tail Coordinate View
  52.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  53.    wt: 6:   5 Head To Tail Arrow Addition
  54.    wt: 6:   4 Resultant of a Sum of Movements
  55.    wt: 6:   2 Signed Coordinates
  56.    wt: 6:   1 Unsigned Coordinates
  57.    wt: 6:   B Straight Line Slope Scaling Properties More
  58.    wt: 6:   A Straight Line Slope Scaling Properties
  59.    wt: 6:   4 Tangent Function Properties
  60.    wt: 6:   17 tangent function angle sum formulas
  61.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  62.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  63.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  64.    wt: 6:   32 seven rows of pascals triangle
  65.    wt: 6:   31 basic secant cosecant cotangent trig identities
  66.    wt: 6:   30 unit circle calculation of six trigonometric functions
  67.    wt: 6:   29 secant cosecant and cotangent for acute angles
  68.    wt: 6:   28 Expressing products of sines cosines as sums
  69.    wt: 6:   27 Logarithmic use of products of sines and cosines
  70.    wt: 6:   26 Formulas for products of sines and cosines
  71.    wt: 6:   25 tangent double angle formula Slope connection
  72.    wt: 6:   24 tangent Angle Difference Formula
  73.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  74.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  75.    wt: 6:   21 sine and cosine Half Angle Formulas
  76.    wt: 6:   20 sine and cosine Double Angle Formulas
  77.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  78.    wt: 6:   18 sum of sinusoidal waves as a single wave
  79.    wt: 6:   17G Pythagorean Theorem Converse
  80.    wt: 6:   17F Law of cosines
  81.    wt: 6:   17E Trig Formulas for dot and cross Products
  82.    wt: 6:   17D cis formulas for sine cosines and tangent
  83.    wt: 6:   17C sine and cosine double triple angle formulas
  84.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  85.    wt: 6:   16 Right Triangle Complementary Angle Relations
  86.    wt: 6:   15 sine cosine Complementary Angle Relations
  87.    wt: 6:   14 cosine even and sine and tangent are odd
  88.    wt: 6:   13 Graph of tangent function many periods
  89.    wt: 6:   12 Graph of tangent function for one period
  90.    wt: 6:   11 tangent function undefined when terminal side vertical
  91.    wt: 6:   10 Graphs of sines and cosines many periods
  92.    wt: 6:   9 Graphs of sine and cosine over one period
  93.    wt: 6:   8 period of tangent function
  94.    wt: 6:   7 period of sine and cosine
  95.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  96.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  97.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  98.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  99.    wt: 6:   2 Quadrant I reference Angles
  100.    wt: 6:   1 Unit Points Reflections Rotations
  101.    wt: 6:   8 Triangles Cascade Problem Solving
  102.    wt: 6:   7 Trignometric Ratios Unit Circle
  103.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  104.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  105.    wt: 6:   3 Trigonometric Ratios sine and cosine
  106.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  107.    wt: 6:   1 Angle Measurement with Degrees
  108.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  109.    wt: 5:   16 cotangent function Definition Graph and Inverse
  110.    wt: 5:   15 cosecant function Definition Graph and Inverse
  111.    wt: 5:   14 secant function Definition Graph and Inverse
  112.    wt: 5:   13 cosecant function Definition Graph and Inverse
  113.    wt: 5:   12 motivation for term arctan
  114.    wt: 5:   11 arctan left inverse of tangent Graph
  115.    wt: 5:   10 arctan left inverse of tangent Definition
  116.    wt: 5:   9 motivation for name arcsin
  117.    wt: 5:   8 arcsin left inverse of sine Graph
  118.    wt: 5:   7 arcsin left inverse of sine Definition
  119.    wt: 5:   6 Graph of arccos function
  120.    wt: 5:   5 Swapping Coordinates is a reflection
  121.    wt: 5:   4 possible motivation for term arccos
  122.    wt: 5:   3 Left Inverse of cosine arccos definition
  123.    wt: 5:   9 Summary Degrees to Radians and back
  124.    wt: 5:   8 Radian Measures of Common Angles
  125.    wt: 5:   7 Radian Measures in special Triangles
  126.    wt: 5:   6 Radian Measure to Degrees
  127.    wt: 5:   5 Degrees to Radian Measure
  128.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  129.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  130.    wt: 5:   2 Radian Measure Numerical Value of one degree
  131.    wt: 5:   1 Degrees and Radians Introduction
  132.    wt: 5:   4 graphing y=Asin(x c)
  133.    wt: 5:   3 graphing y=f(x c) plus K
  134.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  135.    wt: 5:   1 graphing y=f(x a)
  136.    wt: 5:   Parallel Lines and Parallel Transversals
  137.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  138.    wt: 5:   Triangle Angles Sum To 180 Degrees
  139.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  140.    wt: 5:   Parallel Lines and Interior Angles
  141.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  142.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  143.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  144.    wt: 5:   Straight Lines ASA Intersection Study More
  145.    wt: 5:   Straight Lines ASA Intersection Study
  146.    wt: 5:   Straight Lines Instersection Solving Equations
  147.    wt: 5:   Straight Lines Intersection of
  148.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  149.    wt: 5:   C Straight Lines Slope from Coordinates
  150.    wt: 5:   14 Straight Lines Equations General Case
  151.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  152.    wt: 5:   12 Straight Lines Graphing mx plus b
  153.    wt: 5:   11 Straight Lines Graphing y=mx
  154.    wt: 5:   10 Straight Lines through Origin Equations More
  155.    wt: 5:   9 Straight Lines through Origin Equations
  156.    wt: 5:   8 Straight Lines Equation for vertical
  157.    wt: 5:   7 Tangent Function is odd on this domain
  158.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  159.    wt: 5:   5 Tangent Function Graph
  160.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  161.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  162.    wt: 5:   1 Straight Lines Slope Concept
  163.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  164.    wt: 5:   12 Triangles Similarity More Problems
  165.    wt: 5:   11 Triangle Similarity Missing Side Problem
  166.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  167.    wt: 5:   9 Similarity of Triangles Usual Criteria
  168.    wt: 5:   8 Similarity of Triangles and Polygons
  169.    wt: 5:   7 Translations Rotations Reflections Dilatations
  170.    wt: 5:   6 Geometric Diagrams in Class
  171.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  172.    wt: 5:   4 Similarity Definition with Coordinate
  173.    wt: 5:   3 Similarity by Design with coordinates
  174.    wt: 5:   2 Similarity By Design
  175.    wt: 5:   1 Early Concept of Like or Similar Shapes
  176.    wt: 5:   Four Simple Exercises
  177.    wt: 5:   12 Links Lessons elsewhere
  178.    wt: 5:   11 A Partial Summary
  179.    wt: 5:   10 Midpoint of [a b] and [b a]
  180.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  181.    wt: 5:   8 Mid Point Formula
  182.    wt: 5:   7 Exercises to test skill and concept mastery
  183.    wt: 5:   6 Intersection of lines by solving linear systems
  184.    wt: 5:   5 Algebraic View of Slopes
  185.    wt: 5:   4 Equations for lines three forms
  186.    wt: 5:   3 Slope product for perpendicular lines
  187.    wt: 5:   2 point slope equation for a line
  188.    wt: 5:   1 Numerical view of lines and their equations
  189.    wt: 5:   What is and is not here
  190.    wt: 5:   13 Pythagorean spatial distance formulas
  191.    wt: 5:   12 Spatial Coordinates
  192.    wt: 5:   11 Triangle Inequality
  193.    wt: 5:   10 Pythagorean plane distance formula
  194.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  195.    wt: 5:   8 Distance Between Points on a Line
  196.    wt: 5:   6 Polar Multiplication and Rotation
  197.    wt: 5:   5 Cartesian Addition and Translation
  198.    wt: 5:   4 Polar Coordinates to and from
  199.    wt: 5:   3 Rectangular Coordinates Review
  200.    wt: 5:   2 Cartesian Coordinates with signs
  201.    wt: 5:   1 Cartesian Coordinates sans signs
  202.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  203.    wt: 5:   PS G Rotation Distributes over Addition
  204.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  205.    wt: 5:   PS E Multiplication with Polar Coordinates
  206.    wt: 5:   PS D Addition with Cartesian Coordinates
  207.    wt: 5:   PS B Parallelogram Construction Methods
  208.    wt: 5:   PS A Kite Construction Methods
  209.    wt: 5:   21 Parallelograms
  210.    wt: 5:   19 Right Triangle Similarity
  211.    wt: 5:   18 Triangle Similarity Take 1
  212.    wt: 5:   17 Right Bisectors of Triangle Sides
  213.    wt: 5:   16 Angles Subtended By Chords and Diameters
  214.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  215.    wt: 5:   14 Parallel Lines Postulate
  216.    wt: 5:   13 Angle Side Angle Failure
  217.    wt: 5:   12 Side Angle Side Failure
  218.    wt: 5:   11 Triangle Construction Fails
  219.    wt: 5:   10 Dropping a perpendicular to line
  220.    wt: 5:   9 Construction of a right bisector
  221.    wt: 5:   8 Isoceles Triangles
  222.    wt: 5:   7 Angle Side Angle
  223.    wt: 5:   6 Ruler and compass Angle Bisection
  224.    wt: 5:   5 Side Angle Side
  225.    wt: 5:   4 Side Side Side
  226.    wt: 5:   3 Isometry of Triangles Congruence
  227.    wt: 5:   2 Correspondence between Triangles
  228.    wt: 5:   1 Initial Concepts and Terms
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  232.    wt: 3:   11 Signed Number Addition and Addition Properties
  233.    wt: 3:   3 Comparison of Negative Numbers
  234.    wt: 3:   11 What are real lengths and numbers
  235.    wt: 3:   10 dividing signed numbers
  236.    wt: 3:   9 subtracting signed numbers
  237.    wt: 3:   8 multiplying signed numbers
  238.    wt: 3:   6 adding signed numbers
  239.    wt: 3:   5 lengths and signs of numbers
  240.    wt: 3:   3 signed coordinates for maps and planes
  241.    wt: 3:   2 signed and unsigned numbers as coordinates
  242.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  243.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  244.    wt: 2:   Maps Plans Drawings
  245.    wt: 2:   musings do not puiblish real numbers
  246.    wt: 2:   A Signed Number Arithmetic Review
  247.    wt: 2:   22 Multiplication of Signed Numbers
  248.    wt: 2:   19 Signed Multiples of Vectors
  249.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  250.    wt: 2:   13 Arrows and Vectors in a Plane
  251.    wt: 2:   12 Real Numbers Line Signed Coordinates
  252.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  253.    wt: 2:   16 Real Numbers Comparison
  254.    wt: 2:   15 Real Number Division
  255.    wt: 2:   14 Real Number Multiplication
  256.    wt: 2:   13 Real Number Subtraction
  257.    wt: 2:   12 Real Number Additive Inverses or Negatives
  258.    wt: 2:   11 Real Number Addition
  259.    wt: 2:   10 Real Number Lengths and Signs
  260.    wt: 2:   8 Coordinates for Maps and Planes
  261.    wt: 2:   7 Real Numbers as Line Cordinates
  262.    wt: 2:   6 Unsigned Real Numbers
  263.    wt: 2:   5 Rational Numbers More
  264.    wt: 2:   4 Rational Numbers
  265.    wt: 2:   1 Whole and Natural Numbers
  266.    wt: 2:   4 Greater More Less Than Signs in General
  267.    wt: 2:   2 More and Less Than with Unlike Signs
  268.    wt: 2:   1 More and Less Than for Counts and Measures
  269.    wt: 2:   3 Properties of Square Roots with example
  270.    wt: 2:   7 negative and additive inverse
  271.    wt: 2:   4 signed coordinates for regions in space
  272.    wt: 2:   3 Multiplying Units and Numbers
  273.    wt: 2:   22 Complex Compound Fractions
  274.    wt: 2:   9 Improper Fractions and Mixed Numbers
  275.    wt: 2:   6 Multiplication of Mixed Numbers
  276.    wt: 2:   8 Multiplication by Signed Numbers Integers
  277.    wt: 2:   6 Multiplication by Natural Numbers
  278.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  279.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  280.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  281.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  282.    wt: 2:   Quick history of numbers and algebra
  283.    wt: 2:   Chapter 22 Complex Numbers
  284.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  285.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  286.    wt: 1:   Ramblings Extrinsic numbers theory
  287.    wt: 1:   2 arithmetic with signed numbers
  288.    wt: 1:   1 arithmetic with unsigned numbers
  289.    wt: 1:   About site lesson plans
  290.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  291.    wt: 1:   A Modular and Remainder Arithmetic
  292.    wt: 1:   26 More Less Greater Than Comparison
  293.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  294.    wt: 1:   23 Distributive Law Two Derivations
  295.    wt: 1:   21 Addition of Multiples of a Single Vector
  296.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  297.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  298.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  299.    wt: 1:   15 Head to Tails in place Addition Associative
  300.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  301.    wt: 1:   9 Division with Digits after Decimal Point
  302.    wt: 1:   8 Division and Mulplication of Compound Fractions
  303.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  304.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  305.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  306.    wt: 1:   4 Location of Point in Decimal Addition
  307.    wt: 1:   3 Location of Point in Decimal Multiplication
  308.    wt: 1:   2 Counting Digits in Decimal Multiplication
  309.    wt: 1:   1 Fractions with Finite Decimal Expansions
  310.    wt: 1:   5 Distributive Law for Whole Numbers
  311.    wt: 1:   1 The Counting Origins of Numbers
  312.    wt: 1:   4 Comparison of Negative Numbers
  313.    wt: 1:   1 Real Numbers Comparison
  314.    wt: 1:   9 Coordinates for Regions in Space
  315.    wt: 1:   3 Fractions
  316.    wt: 1:   2 Integers
  317.    wt: 1:   8 Sets of Numbers
  318.    wt: 1:   5 Talking about Numbers and Quantities
  319.    wt: 1:   4 A Brief Story of numbers and algebra
  320.    wt: 1:   arithmetic videos Real Player Format
  321.    wt: 1:   5 Square Roots with primes more still
  322.    wt: 1:   4 Square Roots with primes more
  323.    wt: 1:   2 Square Roots with Prime
  324.    wt: 1:   1 Squares and Square Roots Introduction
  325.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  326.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  327.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  328.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  329.    wt: 1:   13 GCD from given Prime Factorization
  330.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  331.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  332.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  333.    wt: 1:   8 GCD from Euclidean Algorithm
  334.    wt: 1:   7 GCD and LCM from prime factorization
  335.    wt: 1:   6 GCD from Prime
  336.    wt: 1:   5 Common Divisors 60 45 via Prime
  337.    wt: 1:   4 LCM of 8 and 10 via Prime
  338.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  339.    wt: 1:   2 Least Common Multiple LCM intro via list method
  340.    wt: 1:   1 Least Common Multiples LCM Introduction
  341.    wt: 1:   12 GCD 2700 288 via Prime
  342.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  343.    wt: 1:   4 Counting with Trees Product Rule Take I
  344.    wt: 1:   3 Counting with Tables and Trees II
  345.    wt: 1:   2 Counting with Tables and Trees I
  346.    wt: 1:   1 Counting and Counting Methods I
  347.    wt: 1:   7 Converting or Changing Units
  348.    wt: 1:   6 Simplification of Fractions with Units
  349.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  350.    wt: 1:   4 Fractions with Units
  351.    wt: 1:   2 Equality and Units
  352.    wt: 1:   1 Addition and Subtraction with Units
  353.    wt: 1:   D Three Term Ratios
  354.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  355.    wt: 1:   B Fractions and Two Term Ratios
  356.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  357.    wt: 1:   21 Working With Signs
  358.    wt: 1:   21 Reciprocals for Fractions and Wholes
  359.    wt: 1:   20 Dividing Fractions the Why
  360.    wt: 1:   19 Dividing Fractions How TO
  361.    wt: 1:   18 Efficient Ways to Multiply
  362.    wt: 1:   17 Efficient Ways to Add and Subtract
  363.    wt: 1:   16 Addition Subtraction Comparision Compared
  364.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  365.    wt: 1:   14 Adding and Subtracting with Like Denominators
  366.    wt: 1:   13 Fraction Comparison Algebraic View
  367.    wt: 1:   12 Fraction Comparison
  368.    wt: 1:   11 Simplification an Algebraic View
  369.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  370.    wt: 1:   8 Numerals Fractionals Quantals Take II
  371.    wt: 1:   7 Numerals Fractionals Quantals
  372.    wt: 1:   6 Multiplication Algebraically Take II
  373.    wt: 1:   5 Equivalent Fractions
  374.    wt: 1:   4 Fraction Multiplication
  375.    wt: 1:   3 Unit fraction of a fraction
  376.    wt: 1:   2 Unit Fraction Multiplication
  377.    wt: 1:   1 What is a fraction Take II
  378.    wt: 1:   1 What is a fraction
  379.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  380.    wt: 1:   D Remainders Modulo 11 Pair Rule
  381.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  382.    wt: 1:   B Integer Long Division Multiple Choices
  383.    wt: 1:   A Associative Law Theorectical Note
  384.    wt: 1:   13 Subtraction with Additive Inverse
  385.    wt: 1:   12 Adding Integers More Examples
  386.    wt: 1:   11 Adding Integers Formulas and Examples
  387.    wt: 1:   10 Integer Multiplication Formulas
  388.    wt: 1:   9 Multiplying Integers
  389.    wt: 1:   7 Multiplication by Signs
  390.    wt: 1:   5 Zero Movement and Additive Inverses
  391.    wt: 1:   4 Adding Movements wiht opposite directions
  392.    wt: 1:   3 Adding Movements with same direction
  393.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  394.    wt: 1:   1 Integers as Coordinates
  395.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  396.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  397.    wt: 1:   26 Divisibility by 2 3 5 Example
  398.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  399.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  400.    wt: 1:   23 Remainder Arithmetic Modulo 2
  401.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  402.    wt: 1:   21 Remainder Arithmetic Modulo 3
  403.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  404.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  405.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  406.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  407.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  408.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  409.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  410.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  411.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  412.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  413.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  414.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  415.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  416.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  417.    wt: 1:   5 Remainder Arithmetic Modulo 5
  418.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  419.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  420.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  421.    wt: 1:   1 Remainder Arithmetic Modulo 10
  422.    wt: 1:   20 Uniqueness of Prime Factorization
  423.    wt: 1:   19 video Prime Factorization Unique
  424.    wt: 1:   18 video Count Factors given Prime Factorization
  425.    wt: 1:   17 Identify and Count Factors using Primes
  426.    wt: 1:   16 video Factors of 980 using prime
  427.    wt: 1:   15 video Factors of 20 using Prime Factorization
  428.    wt: 1:   14 video Factors of 24 Take II
  429.    wt: 1:   13 video Factors of 24 using prime
  430.    wt: 1:   12 LCD GCD and LCM using Primes
  431.    wt: 1:   11 Efficient Square Rule Use
  432.    wt: 1:   10 video Prime Factorization upto 23 squared
  433.    wt: 1:   9 video Prime Factorization upto 19 squared
  434.    wt: 1:   8 video Prime Factorization upto 19
  435.    wt: 1:   7 Calculator Usage Notes and Cautions
  436.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  437.    wt: 1:   5 Prime Factorization and a Square Rule
  438.    wt: 1:   4 video Prime Factorization Introduction
  439.    wt: 1:   3 video Primes and Composites from 9 times table
  440.    wt: 1:   2 Prime and Composites less than 16
  441.    wt: 1:   1 video how Products are bigger than factor
  442.    wt: 1:   Long Division Backwards more
  443.    wt: 1:   Long Division Backward
  444.    wt: 1:   Division with Counts and Length
  445.    wt: 1:   Long Division forwards and backwards Example 3
  446.    wt: 1:   Long Division forwards and backwards Example 2
  447.    wt: 1:   Long Division forwards and backwards Example 1
  448.    wt: 1:   12 Why Long Division Works Take III
  449.    wt: 1:   11 Another Single Digit Divisor Example
  450.    wt: 1:   10 Division by Five Long and Short Ways
  451.    wt: 1:   9 Why Long Division Works Take II
  452.    wt: 1:   8 Correcting the Mistake
  453.    wt: 1:   7 Long Divison Mistake Catching
  454.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  455.    wt: 1:   5 Long Division Include Zeroes or not
  456.    wt: 1:   4 Division with 2 Digit Divsors
  457.    wt: 1:   3 Division Single Digit Divisor Example
  458.    wt: 1:   2 Division with Single Digit Divisors
  459.    wt: 1:   1 Divsion Physical Examples
  460.    wt: 1:   D Decimal Multiplication Methods Derived
  461.    wt: 1:   C Counting Areas with Powers of Ten
  462.    wt: 1:   B Powers of Ten
  463.    wt: 1:   A Elementary Basis for Multiplication Methods
  464.    wt: 1:   6 Multiplication Commutes Order Not Important
  465.    wt: 1:   5 Decimal Fraction Multiplication
  466.    wt: 1:   4 Two and Three Digit Multipliers
  467.    wt: 1:   3 More One Digit Multipliers
  468.    wt: 1:   2 One Digit Multipliers
  469.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  470.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  471.    wt: 1:   Video Power Notation in Decimal Expansion
  472.    wt: 1:   1 Why 3 times 5 gives 15
  473.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  474.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  475.    wt: 1:   Subtraction with J Conversions Example
  476.    wt: 1:   Subtraction Another Video Lesson
  477.    wt: 1:   9 22 Minute Subtraction Review Video
  478.    wt: 1:   8 Subtraction with Units of Measure
  479.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  480.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  481.    wt: 1:   5 A Tip for Efficent Subtraction
  482.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  483.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  484.    wt: 1:   2 Subtraction Easy Case Examples
  485.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  486.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  487.    wt: 1:   8 What skills and work habits to require
  488.    wt: 1:   7 Adding decimal fractions using decimal point
  489.    wt: 1:   6. Counting and adding units and mixed units
  490.    wt: 1:   5. How to add decimals C. Examples
  491.    wt: 1:   4. How to add with decimals B with conversions
  492.    wt: 1:   3. How to add with decimals A sans conversions
  493.    wt: 1:   2 Decimal Counting Practices
  494.    wt: 1:   1. Explaining Addition Table
  495.    wt: 1:   11 Place Value SI Standard International way
  496.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  497.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  498.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  499.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  500.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  501.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  502.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  503.    wt: 1:   Exact Arithmetic Wholes and Fractions
  504.    wt: 1:   Formula Evaluation how to show work
  505.    wt: 1:   Expression Evaluation how to show work
  506.    wt: 1:   The 20 Times Table
  507.    wt: 1:   The 12 Times Table Visually
  508.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  509.    wt: 1:   About folder contents
  510.    wt: 1:   016 Numbering Occidental Calendar Days
  511.    wt: 1:   011 Division of Time Intervals By Numbers
  512.    wt: 1:   4 Numerical properties
  513.    wt: 1:   E2 Algebraic Properties of Limits
  514.    wt: 1:   Chapter 23 Links To Trigonometry
  515.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  516.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  517.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  518.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  519.    wt: 10:   6 Field Properties of Complex Number
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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.