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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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

100 matches:

  1.    wt: 4:   PS H Distributive Law For Complex Numbers
  2.    wt: 3:   5 Distributive Law for Whole Numbers
  3.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  4.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  5.    wt: 2:   Maps Plans Drawings
  6.    wt: 2:   1 Polynomials Distributive Law
  7.    wt: 2:   Vector and Complex Number Applet
  8.    wt: 2:   17A The complex number valued trig function cis
  9.    wt: 2:   20 N th Roots of Complex Numbers
  10.    wt: 2:   9 The complex number valued trig function cis
  11.    wt: 2:   6 Field Properties of Complex Number
  12.    wt: 2:   5 An Easy Proof of the Distributive Law
  13.    wt: 2:   2 Complex Numbers made easier we hope
  14.    wt: 2:   Appetizer A Complex Number Applet
  15.    wt: 2:   7 Complex Numbers Appetizer
  16.    wt: 2:   4 Angles on Maps Plans drawn to scale
  17.    wt: 2:   3 Lengths and Areas on Maps and Plans
  18.    wt: 2:   23 Distributive Law Two Derivations
  19.    wt: 2:   Chapter 22 Complex Numbers
  20.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  21.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  22.    wt: 1:   Ramblings Extrinsic numbers theory
  23.    wt: 1:   2 arithmetic with signed numbers
  24.    wt: 1:   1 arithmetic with unsigned numbers
  25.    wt: 1:   About site lesson plans
  26.    wt: 1:   E Kirchoffs Second Law
  27.    wt: 1:   D Kirchoff First Law
  28.    wt: 1:   13 Velocity Vectors in Physics
  29.    wt: 1:   8 Parallel Vectors
  30.    wt: 1:   6 Vectors with Coordinates
  31.    wt: 1:   3 Navigation with Arrows or Vectors
  32.    wt: 1:   17F Law of cosines
  33.    wt: 1:   Unit Circle Development of Trigonometry
  34.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  35.    wt: 1:   14 Law of cosines
  36.    wt: 1:   8 Unit Circle Development of Trigonometry
  37.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  38.    wt: 1:   Why Trigonometry the whyslopes view
  39.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  40.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  41.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  42.    wt: 1:   6 Figuring with Maps Not to Scale
  43.    wt: 1:   musings do not puiblish real numbers
  44.    wt: 1:   A Signed Number Arithmetic Review
  45.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  46.    wt: 1:   22 Multiplication of Signed Numbers
  47.    wt: 1:   19 Signed Multiples of Vectors
  48.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  49.    wt: 1:   13 Arrows and Vectors in a Plane
  50.    wt: 1:   12 Real Numbers Line Signed Coordinates
  51.    wt: 1:   11 Signed Number Addition and Addition Properties
  52.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  53.    wt: 1:   4 Commutative Law Groups Counting Form
  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:   11 What are real lengths and numbers
  75.    wt: 1:   10 dividing signed numbers
  76.    wt: 1:   9 subtracting signed numbers
  77.    wt: 1:   8 multiplying signed numbers
  78.    wt: 1:   6 adding signed numbers
  79.    wt: 1:   5 lengths and signs of numbers
  80.    wt: 1:   3 signed coordinates for maps and planes
  81.    wt: 1:   2 signed and unsigned numbers as coordinates
  82.    wt: 1:   3 Multiplying Units and Numbers
  83.    wt: 1:   22 Complex Compound Fractions
  84.    wt: 1:   9 Improper Fractions and Mixed Numbers
  85.    wt: 1:   6 Multiplication of Mixed Numbers
  86.    wt: 1:   A Associative Law Theorectical Note
  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:   Chapter 23 Links To Trigonometry
  96.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  97.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  98.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  99.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  100.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

521 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:   6 Field Properties of Complex Number
  4.    wt: 9:   5 An Easy Proof of the Distributive Law
  5.    wt: 9:   2 Complex Numbers made easier we hope
  6.    wt: 9:   Appetizer A Complex Number Applet
  7.    wt: 9:   PS H Distributive Law For Complex Numbers
  8.    wt: 9:   4 Angles on Maps Plans drawn to scale
  9.    wt: 9:   3 Lengths and Areas on Maps and Plans
  10.    wt: 8:   Vector and Complex Number Applet
  11.    wt: 8:   17A The complex number valued trig function cis
  12.    wt: 8:   14 Law of cosines
  13.    wt: 8:   8 Unit Circle Development of Trigonometry
  14.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  15.    wt: 8:   6 Figuring with Maps Not to Scale
  16.    wt: 7:   13 Velocity Vectors in Physics
  17.    wt: 7:   8 Parallel Vectors
  18.    wt: 7:   6 Vectors with Coordinates
  19.    wt: 7:   3 Navigation with Arrows or Vectors
  20.    wt: 7:   17F Law of cosines
  21.    wt: 7:   Unit Circle Development of Trigonometry
  22.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  23.    wt: 7:   21 Logarithms Powers and Exponentials
  24.    wt: 7:   19 N th Roots of Unity
  25.    wt: 7:   18 Sixth Roots of Unity
  26.    wt: 7:   17 Cube Roots of unity
  27.    wt: 7:   16 References and Originality Question
  28.    wt: 7:   15 Pythagorean Theorem Converse
  29.    wt: 7:   13 Trig Formulas for dot and cross Products
  30.    wt: 7:   12 cis formulas for sine cosines and tangent
  31.    wt: 7:   11 sine and cosine double triple angle formulas
  32.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  33.    wt: 7:   7 Second Way to Calculate Products
  34.    wt: 7:   4 Multiplication Properties
  35.    wt: 7:   3 Addition Properties
  36.    wt: 7:   1 Rectangular Polar Coordinates Review
  37.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  38.    wt: 7:   Why Trigonometry the whyslopes view
  39.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  40.    wt: 7:   7 Complex Numbers Appetizer
  41.    wt: 7:   A Measurement with Ruler Proper Use
  42.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  43.    wt: 7:   2 Measuring Area Directly
  44.    wt: 7:   1 Length Measurement
  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:   17 tangent function angle sum formulas
  58.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  59.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  60.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  61.    wt: 6:   32 seven rows of pascals triangle
  62.    wt: 6:   31 basic secant cosecant cotangent trig identities
  63.    wt: 6:   30 unit circle calculation of six trigonometric functions
  64.    wt: 6:   29 secant cosecant and cotangent for acute angles
  65.    wt: 6:   28 Expressing products of sines cosines as sums
  66.    wt: 6:   27 Logarithmic use of products of sines and cosines
  67.    wt: 6:   26 Formulas for products of sines and cosines
  68.    wt: 6:   25 tangent double angle formula Slope connection
  69.    wt: 6:   24 tangent Angle Difference Formula
  70.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  71.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  72.    wt: 6:   21 sine and cosine Half Angle Formulas
  73.    wt: 6:   20 sine and cosine Double Angle Formulas
  74.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  75.    wt: 6:   18 sum of sinusoidal waves as a single wave
  76.    wt: 6:   17G Pythagorean Theorem Converse
  77.    wt: 6:   17E Trig Formulas for dot and cross Products
  78.    wt: 6:   17D cis formulas for sine cosines and tangent
  79.    wt: 6:   17C sine and cosine double triple angle formulas
  80.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  81.    wt: 6:   16 Right Triangle Complementary Angle Relations
  82.    wt: 6:   15 sine cosine Complementary Angle Relations
  83.    wt: 6:   14 cosine even and sine and tangent are odd
  84.    wt: 6:   13 Graph of tangent function many periods
  85.    wt: 6:   12 Graph of tangent function for one period
  86.    wt: 6:   11 tangent function undefined when terminal side vertical
  87.    wt: 6:   10 Graphs of sines and cosines many periods
  88.    wt: 6:   9 Graphs of sine and cosine over one period
  89.    wt: 6:   8 period of tangent function
  90.    wt: 6:   7 period of sine and cosine
  91.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  92.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  93.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  94.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  95.    wt: 6:   2 Quadrant I reference Angles
  96.    wt: 6:   1 Unit Points Reflections Rotations
  97.    wt: 6:   8 Triangles Cascade Problem Solving
  98.    wt: 6:   7 Trignometric Ratios Unit Circle
  99.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  100.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  101.    wt: 6:   3 Trigonometric Ratios sine and cosine
  102.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  103.    wt: 6:   1 Angle Measurement with Degrees
  104.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  105.    wt: 5:   16 cotangent function Definition Graph and Inverse
  106.    wt: 5:   15 cosecant function Definition Graph and Inverse
  107.    wt: 5:   14 secant function Definition Graph and Inverse
  108.    wt: 5:   13 cosecant function Definition Graph and Inverse
  109.    wt: 5:   12 motivation for term arctan
  110.    wt: 5:   11 arctan left inverse of tangent Graph
  111.    wt: 5:   10 arctan left inverse of tangent Definition
  112.    wt: 5:   9 motivation for name arcsin
  113.    wt: 5:   8 arcsin left inverse of sine Graph
  114.    wt: 5:   7 arcsin left inverse of sine Definition
  115.    wt: 5:   6 Graph of arccos function
  116.    wt: 5:   5 Swapping Coordinates is a reflection
  117.    wt: 5:   4 possible motivation for term arccos
  118.    wt: 5:   3 Left Inverse of cosine arccos definition
  119.    wt: 5:   2 cosine function more properties
  120.    wt: 5:   1 cosine function properties
  121.    wt: 5:   9 Summary Degrees to Radians and back
  122.    wt: 5:   8 Radian Measures of Common Angles
  123.    wt: 5:   7 Radian Measures in special Triangles
  124.    wt: 5:   6 Radian Measure to Degrees
  125.    wt: 5:   5 Degrees to Radian Measure
  126.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  127.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  128.    wt: 5:   2 Radian Measure Numerical Value of one degree
  129.    wt: 5:   1 Degrees and Radians Introduction
  130.    wt: 5:   4 graphing y=Asin(x c)
  131.    wt: 5:   3 graphing y=f(x c) plus K
  132.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  133.    wt: 5:   1 graphing y=f(x a)
  134.    wt: 5:   Parallel Lines and Parallel Transversals
  135.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  136.    wt: 5:   Triangle Angles Sum To 180 Degrees
  137.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  138.    wt: 5:   Parallel Lines and Interior Angles
  139.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  140.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  141.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  142.    wt: 5:   Straight Lines ASA Intersection Study More
  143.    wt: 5:   Straight Lines ASA Intersection Study
  144.    wt: 5:   Straight Lines Instersection Solving Equations
  145.    wt: 5:   Straight Lines Intersection of
  146.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  147.    wt: 5:   C Straight Lines Slope from Coordinates
  148.    wt: 5:   B Straight Line Slope Scaling Properties More
  149.    wt: 5:   A Straight Line Slope Scaling Properties
  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:   4 Tangent Function Properties
  161.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  162.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  163.    wt: 5:   1 Straight Lines Slope Concept
  164.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  165.    wt: 5:   12 Triangles Similarity More Problems
  166.    wt: 5:   11 Triangle Similarity Missing Side Problem
  167.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  168.    wt: 5:   9 Similarity of Triangles Usual Criteria
  169.    wt: 5:   8 Similarity of Triangles and Polygons
  170.    wt: 5:   7 Translations Rotations Reflections Dilatations
  171.    wt: 5:   6 Geometric Diagrams in Class
  172.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  173.    wt: 5:   4 Similarity Definition with Coordinate
  174.    wt: 5:   3 Similarity by Design with coordinates
  175.    wt: 5:   2 Similarity By Design
  176.    wt: 5:   1 Early Concept of Like or Similar Shapes
  177.    wt: 5:   Four Simple Exercises
  178.    wt: 5:   12 Links Lessons elsewhere
  179.    wt: 5:   11 A Partial Summary
  180.    wt: 5:   10 Midpoint of [a b] and [b a]
  181.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  182.    wt: 5:   8 Mid Point Formula
  183.    wt: 5:   7 Exercises to test skill and concept mastery
  184.    wt: 5:   6 Intersection of lines by solving linear systems
  185.    wt: 5:   5 Algebraic View of Slopes
  186.    wt: 5:   4 Equations for lines three forms
  187.    wt: 5:   3 Slope product for perpendicular lines
  188.    wt: 5:   2 point slope equation for a line
  189.    wt: 5:   1 Numerical view of lines and their equations
  190.    wt: 5:   What is and is not here
  191.    wt: 5:   13 Pythagorean spatial distance formulas
  192.    wt: 5:   12 Spatial Coordinates
  193.    wt: 5:   11 Triangle Inequality
  194.    wt: 5:   10 Pythagorean plane distance formula
  195.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  196.    wt: 5:   8 Distance Between Points on a Line
  197.    wt: 5:   6 Polar Multiplication and Rotation
  198.    wt: 5:   5 Cartesian Addition and Translation
  199.    wt: 5:   4 Polar Coordinates to and from
  200.    wt: 5:   3 Rectangular Coordinates Review
  201.    wt: 5:   2 Cartesian Coordinates with signs
  202.    wt: 5:   1 Cartesian Coordinates sans signs
  203.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  204.    wt: 5:   PS G Rotation Distributes over Addition
  205.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  206.    wt: 5:   PS E Multiplication with Polar Coordinates
  207.    wt: 5:   PS D Addition with Cartesian Coordinates
  208.    wt: 5:   PS B Parallelogram Construction Methods
  209.    wt: 5:   PS A Kite Construction Methods
  210.    wt: 5:   21 Parallelograms
  211.    wt: 5:   19 Right Triangle Similarity
  212.    wt: 5:   18 Triangle Similarity Take 1
  213.    wt: 5:   17 Right Bisectors of Triangle Sides
  214.    wt: 5:   16 Angles Subtended By Chords and Diameters
  215.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  216.    wt: 5:   14 Parallel Lines Postulate
  217.    wt: 5:   13 Angle Side Angle Failure
  218.    wt: 5:   12 Side Angle Side Failure
  219.    wt: 5:   11 Triangle Construction Fails
  220.    wt: 5:   10 Dropping a perpendicular to line
  221.    wt: 5:   9 Construction of a right bisector
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   7 Angle Side Angle
  224.    wt: 5:   6 Ruler and compass Angle Bisection
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   1 Initial Concepts and Terms
  230.    wt: 5:   Short Course on Euclidean Geometry
  231.    wt: 5:   About Folder Contents
  232.    wt: 3:   23 Distributive Law Two Derivations
  233.    wt: 3:   5 Distributive Law for Whole Numbers
  234.    wt: 3:   3 Comparison of Negative Numbers
  235.    wt: 3:   11 What are real lengths and numbers
  236.    wt: 3:   10 dividing signed numbers
  237.    wt: 3:   9 subtracting signed numbers
  238.    wt: 3:   8 multiplying signed numbers
  239.    wt: 3:   6 adding signed numbers
  240.    wt: 3:   5 lengths and signs of numbers
  241.    wt: 3:   3 signed coordinates for maps and planes
  242.    wt: 3:   2 signed and unsigned numbers as coordinates
  243.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  244.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  245.    wt: 2:   Maps Plans Drawings
  246.    wt: 2:   1 Polynomials Distributive Law
  247.    wt: 2:   musings do not puiblish real numbers
  248.    wt: 2:   A Signed Number Arithmetic Review
  249.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  250.    wt: 2:   22 Multiplication of Signed Numbers
  251.    wt: 2:   19 Signed Multiples of Vectors
  252.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  253.    wt: 2:   13 Arrows and Vectors in a Plane
  254.    wt: 2:   12 Real Numbers Line Signed Coordinates
  255.    wt: 2:   11 Signed Number Addition and Addition Properties
  256.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  257.    wt: 2:   16 Real Numbers Comparison
  258.    wt: 2:   15 Real Number Division
  259.    wt: 2:   14 Real Number Multiplication
  260.    wt: 2:   13 Real Number Subtraction
  261.    wt: 2:   12 Real Number Additive Inverses or Negatives
  262.    wt: 2:   11 Real Number Addition
  263.    wt: 2:   10 Real Number Lengths and Signs
  264.    wt: 2:   8 Coordinates for Maps and Planes
  265.    wt: 2:   7 Real Numbers as Line Cordinates
  266.    wt: 2:   6 Unsigned Real Numbers
  267.    wt: 2:   5 Rational Numbers More
  268.    wt: 2:   4 Rational Numbers
  269.    wt: 2:   1 Whole and Natural Numbers
  270.    wt: 2:   4 Greater More Less Than Signs in General
  271.    wt: 2:   2 More and Less Than with Unlike Signs
  272.    wt: 2:   1 More and Less Than for Counts and Measures
  273.    wt: 2:   7 negative and additive inverse
  274.    wt: 2:   4 signed coordinates for regions in space
  275.    wt: 2:   3 Multiplying Units and Numbers
  276.    wt: 2:   22 Complex Compound Fractions
  277.    wt: 2:   9 Improper Fractions and Mixed Numbers
  278.    wt: 2:   6 Multiplication of Mixed Numbers
  279.    wt: 2:   A Associative Law Theorectical Note
  280.    wt: 2:   8 Multiplication by Signed Numbers Integers
  281.    wt: 2:   6 Multiplication by Natural Numbers
  282.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  283.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  284.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  285.    wt: 2:   Quick history of numbers and algebra
  286.    wt: 2:   Chapter 22 Complex Numbers
  287.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  288.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  289.    wt: 1:   Ramblings Extrinsic numbers theory
  290.    wt: 1:   2 arithmetic with signed numbers
  291.    wt: 1:   1 arithmetic with unsigned numbers
  292.    wt: 1:   About site lesson plans
  293.    wt: 1:   E Kirchoffs Second Law
  294.    wt: 1:   D Kirchoff First Law
  295.    wt: 1:   A Modular and Remainder Arithmetic
  296.    wt: 1:   26 More Less Greater Than Comparison
  297.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  298.    wt: 1:   21 Addition of Multiples of a Single Vector
  299.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  300.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  301.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  302.    wt: 1:   15 Head to Tails in place Addition Associative
  303.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  304.    wt: 1:   9 Division with Digits after Decimal Point
  305.    wt: 1:   8 Division and Mulplication of Compound Fractions
  306.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  307.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  308.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  309.    wt: 1:   4 Location of Point in Decimal Addition
  310.    wt: 1:   3 Location of Point in Decimal Multiplication
  311.    wt: 1:   2 Counting Digits in Decimal Multiplication
  312.    wt: 1:   1 Fractions with Finite Decimal Expansions
  313.    wt: 1:   4 Commutative Law Groups Counting Form
  314.    wt: 1:   1 The Counting Origins of Numbers
  315.    wt: 1:   4 Comparison of Negative Numbers
  316.    wt: 1:   1 Real Numbers Comparison
  317.    wt: 1:   9 Coordinates for Regions in Space
  318.    wt: 1:   3 Fractions
  319.    wt: 1:   2 Integers
  320.    wt: 1:   8 Sets of Numbers
  321.    wt: 1:   5 Talking about Numbers and Quantities
  322.    wt: 1:   4 A Brief Story of numbers and algebra
  323.    wt: 1:   arithmetic videos Real Player Format
  324.    wt: 1:   5 Square Roots with primes more still
  325.    wt: 1:   4 Square Roots with primes more
  326.    wt: 1:   3 Properties of Square Roots with example
  327.    wt: 1:   2 Square Roots with Prime
  328.    wt: 1:   1 Squares and Square Roots Introduction
  329.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  330.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  331.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  332.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  333.    wt: 1:   13 GCD from given Prime Factorization
  334.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  335.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  336.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  337.    wt: 1:   8 GCD from Euclidean Algorithm
  338.    wt: 1:   7 GCD and LCM from prime factorization
  339.    wt: 1:   6 GCD from Prime
  340.    wt: 1:   5 Common Divisors 60 45 via Prime
  341.    wt: 1:   4 LCM of 8 and 10 via Prime
  342.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  343.    wt: 1:   2 Least Common Multiple LCM intro via list method
  344.    wt: 1:   1 Least Common Multiples LCM Introduction
  345.    wt: 1:   12 GCD 2700 288 via Prime
  346.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  347.    wt: 1:   4 Counting with Trees Product Rule Take I
  348.    wt: 1:   3 Counting with Tables and Trees II
  349.    wt: 1:   2 Counting with Tables and Trees I
  350.    wt: 1:   1 Counting and Counting Methods I
  351.    wt: 1:   7 Converting or Changing Units
  352.    wt: 1:   6 Simplification of Fractions with Units
  353.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  354.    wt: 1:   4 Fractions with Units
  355.    wt: 1:   2 Equality and Units
  356.    wt: 1:   1 Addition and Subtraction with Units
  357.    wt: 1:   D Three Term Ratios
  358.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  359.    wt: 1:   B Fractions and Two Term Ratios
  360.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  361.    wt: 1:   21 Working With Signs
  362.    wt: 1:   21 Reciprocals for Fractions and Wholes
  363.    wt: 1:   20 Dividing Fractions the Why
  364.    wt: 1:   19 Dividing Fractions How TO
  365.    wt: 1:   18 Efficient Ways to Multiply
  366.    wt: 1:   17 Efficient Ways to Add and Subtract
  367.    wt: 1:   16 Addition Subtraction Comparision Compared
  368.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  369.    wt: 1:   14 Adding and Subtracting with Like Denominators
  370.    wt: 1:   13 Fraction Comparison Algebraic View
  371.    wt: 1:   12 Fraction Comparison
  372.    wt: 1:   11 Simplification an Algebraic View
  373.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  374.    wt: 1:   8 Numerals Fractionals Quantals Take II
  375.    wt: 1:   7 Numerals Fractionals Quantals
  376.    wt: 1:   6 Multiplication Algebraically Take II
  377.    wt: 1:   5 Equivalent Fractions
  378.    wt: 1:   4 Fraction Multiplication
  379.    wt: 1:   3 Unit fraction of a fraction
  380.    wt: 1:   2 Unit Fraction Multiplication
  381.    wt: 1:   1 What is a fraction Take II
  382.    wt: 1:   1 What is a fraction
  383.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  384.    wt: 1:   D Remainders Modulo 11 Pair Rule
  385.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  386.    wt: 1:   B Integer Long Division Multiple Choices
  387.    wt: 1:   13 Subtraction with Additive Inverse
  388.    wt: 1:   12 Adding Integers More Examples
  389.    wt: 1:   11 Adding Integers Formulas and Examples
  390.    wt: 1:   10 Integer Multiplication Formulas
  391.    wt: 1:   9 Multiplying Integers
  392.    wt: 1:   7 Multiplication by Signs
  393.    wt: 1:   5 Zero Movement and Additive Inverses
  394.    wt: 1:   4 Adding Movements wiht opposite directions
  395.    wt: 1:   3 Adding Movements with same direction
  396.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  397.    wt: 1:   1 Integers as Coordinates
  398.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  399.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  400.    wt: 1:   26 Divisibility by 2 3 5 Example
  401.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  402.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  403.    wt: 1:   23 Remainder Arithmetic Modulo 2
  404.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  405.    wt: 1:   21 Remainder Arithmetic Modulo 3
  406.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  407.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  408.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  409.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  410.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  411.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  412.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  413.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  414.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  415.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  416.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  417.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  418.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  419.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  420.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  421.    wt: 1:   5 Remainder Arithmetic Modulo 5
  422.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  423.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  424.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  425.    wt: 1:   1 Remainder Arithmetic Modulo 10
  426.    wt: 1:   20 Uniqueness of Prime Factorization
  427.    wt: 1:   19 video Prime Factorization Unique
  428.    wt: 1:   18 video Count Factors given Prime Factorization
  429.    wt: 1:   17 Identify and Count Factors using Primes
  430.    wt: 1:   16 video Factors of 980 using prime
  431.    wt: 1:   15 video Factors of 20 using Prime Factorization
  432.    wt: 1:   14 video Factors of 24 Take II
  433.    wt: 1:   13 video Factors of 24 using prime
  434.    wt: 1:   12 LCD GCD and LCM using Primes
  435.    wt: 1:   11 Efficient Square Rule Use
  436.    wt: 1:   10 video Prime Factorization upto 23 squared
  437.    wt: 1:   9 video Prime Factorization upto 19 squared
  438.    wt: 1:   8 video Prime Factorization upto 19
  439.    wt: 1:   7 Calculator Usage Notes and Cautions
  440.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  441.    wt: 1:   5 Prime Factorization and a Square Rule
  442.    wt: 1:   4 video Prime Factorization Introduction
  443.    wt: 1:   3 video Primes and Composites from 9 times table
  444.    wt: 1:   2 Prime and Composites less than 16
  445.    wt: 1:   1 video how Products are bigger than factor
  446.    wt: 1:   Long Division Backwards more
  447.    wt: 1:   Long Division Backward
  448.    wt: 1:   Division with Counts and Length
  449.    wt: 1:   Long Division forwards and backwards Example 3
  450.    wt: 1:   Long Division forwards and backwards Example 2
  451.    wt: 1:   Long Division forwards and backwards Example 1
  452.    wt: 1:   12 Why Long Division Works Take III
  453.    wt: 1:   11 Another Single Digit Divisor Example
  454.    wt: 1:   10 Division by Five Long and Short Ways
  455.    wt: 1:   9 Why Long Division Works Take II
  456.    wt: 1:   8 Correcting the Mistake
  457.    wt: 1:   7 Long Divison Mistake Catching
  458.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  459.    wt: 1:   5 Long Division Include Zeroes or not
  460.    wt: 1:   4 Division with 2 Digit Divsors
  461.    wt: 1:   3 Division Single Digit Divisor Example
  462.    wt: 1:   2 Division with Single Digit Divisors
  463.    wt: 1:   1 Divsion Physical Examples
  464.    wt: 1:   D Decimal Multiplication Methods Derived
  465.    wt: 1:   C Counting Areas with Powers of Ten
  466.    wt: 1:   B Powers of Ten
  467.    wt: 1:   A Elementary Basis for Multiplication Methods
  468.    wt: 1:   6 Multiplication Commutes Order Not Important
  469.    wt: 1:   5 Decimal Fraction Multiplication
  470.    wt: 1:   4 Two and Three Digit Multipliers
  471.    wt: 1:   3 More One Digit Multipliers
  472.    wt: 1:   2 One Digit Multipliers
  473.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  474.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  475.    wt: 1:   Video Power Notation in Decimal Expansion
  476.    wt: 1:   1 Why 3 times 5 gives 15
  477.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  478.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  479.    wt: 1:   Subtraction with J Conversions Example
  480.    wt: 1:   Subtraction Another Video Lesson
  481.    wt: 1:   9 22 Minute Subtraction Review Video
  482.    wt: 1:   8 Subtraction with Units of Measure
  483.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  484.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  485.    wt: 1:   5 A Tip for Efficent Subtraction
  486.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  487.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  488.    wt: 1:   2 Subtraction Easy Case Examples
  489.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  490.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  491.    wt: 1:   8 What skills and work habits to require
  492.    wt: 1:   7 Adding decimal fractions using decimal point
  493.    wt: 1:   6. Counting and adding units and mixed units
  494.    wt: 1:   5. How to add decimals C. Examples
  495.    wt: 1:   4. How to add with decimals B with conversions
  496.    wt: 1:   3. How to add with decimals A sans conversions
  497.    wt: 1:   2 Decimal Counting Practices
  498.    wt: 1:   1. Explaining Addition Table
  499.    wt: 1:   11 Place Value SI Standard International way
  500.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  501.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  502.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  503.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  504.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  505.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  506.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  507.    wt: 1:   Exact Arithmetic Wholes and Fractions
  508.    wt: 1:   Formula Evaluation how to show work
  509.    wt: 1:   Expression Evaluation how to show work
  510.    wt: 1:   The 20 Times Table
  511.    wt: 1:   The 12 Times Table Visually
  512.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  513.    wt: 1:   About folder contents
  514.    wt: 1:   016 Numbering Occidental Calendar Days
  515.    wt: 1:   011 Division of Time Intervals By Numbers
  516.    wt: 1:   Chapter 23 Links To Trigonometry
  517.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  518.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  519.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  520.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  521.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
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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