Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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. Reform: look before you leap - plan all in detail first.

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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36 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/
  36.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/

Web Page Search

119 matches:

  1.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  2.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   Vector and Complex Number Applet
  5.    wt: 2:   17A The complex number valued trig function cis
  6.    wt: 2:   20 N th Roots of Complex Numbers
  7.    wt: 2:   9 The complex number valued trig function cis
  8.    wt: 2:   6 Field Properties of Complex Number
  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:   Chapter 22 Complex Numbers
  16.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  17.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  18.    wt: 1:   J LAMP Introduction Extrinsic Origins
  19.    wt: 1:   I LAMP Introduction Study Habits
  20.    wt: 1:   H LAMP Introduction Instructional Concepts
  21.    wt: 1:   G LAMP Introduction Problem Solving Skills
  22.    wt: 1:   F LAMP Introduction Prerequisites
  23.    wt: 1:   E LAMP Introduction Modern Mathematics
  24.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  25.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  26.    wt: 1:   A Introduction Objectives
  27.    wt: 1:   Ramblings Extrinsic numbers theory
  28.    wt: 1:   Ramblings Introduction Algebra Essay
  29.    wt: 1:   Skills Chapter 0 Introduction
  30.    wt: 1:   2 arithmetic with signed numbers
  31.    wt: 1:   1 arithmetic with unsigned numbers
  32.    wt: 1:   About site lesson plans
  33.    wt: 1:   chapitre 01 00 Introduction
  34.    wt: 1:   1 Geometric Introduction of Function Notation
  35.    wt: 1:   Introduction Reading Guide
  36.    wt: 1:   1 Degrees and Radians Introduction
  37.    wt: 1:   13 Velocity Vectors in Physics
  38.    wt: 1:   8 Parallel Vectors
  39.    wt: 1:   6 Vectors with Coordinates
  40.    wt: 1:   3 Navigation with Arrows or Vectors
  41.    wt: 1:   Unit Circle Development of Trigonometry
  42.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  43.    wt: 1:   8 Unit Circle Development of Trigonometry
  44.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  45.    wt: 1:   Why Trigonometry the whyslopes view
  46.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  47.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  48.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  49.    wt: 1:   6 Figuring with Maps Not to Scale
  50.    wt: 1:   musings do not puiblish real numbers
  51.    wt: 1:   A Signed Number Arithmetic Review
  52.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  53.    wt: 1:   22 Multiplication of Signed Numbers
  54.    wt: 1:   19 Signed Multiples of Vectors
  55.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  56.    wt: 1:   13 Arrows and Vectors in a Plane
  57.    wt: 1:   12 Real Numbers Line Signed Coordinates
  58.    wt: 1:   11 Signed Number Addition and Addition Properties
  59.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  60.    wt: 1:   5 Distributive Law for Whole Numbers
  61.    wt: 1:   1 The Counting Origins of Numbers
  62.    wt: 1:   4 Comparison of Negative Numbers
  63.    wt: 1:   1 Real Numbers Comparison
  64.    wt: 1:   16 Real Numbers Comparison
  65.    wt: 1:   15 Real Number Division
  66.    wt: 1:   14 Real Number Multiplication
  67.    wt: 1:   13 Real Number Subtraction
  68.    wt: 1:   12 Real Number Additive Inverses or Negatives
  69.    wt: 1:   11 Real Number Addition
  70.    wt: 1:   10 Real Number Lengths and Signs
  71.    wt: 1:   8 Coordinates for Maps and Planes
  72.    wt: 1:   7 Real Numbers as Line Cordinates
  73.    wt: 1:   6 Unsigned Real Numbers
  74.    wt: 1:   5 Rational Numbers More
  75.    wt: 1:   4 Rational Numbers
  76.    wt: 1:   1 Whole and Natural Numbers
  77.    wt: 1:   5 Algebraic Solutions Introduction
  78.    wt: 1:   7 Compound Interest Formula Introduction
  79.    wt: 1:   8 Sets of Numbers
  80.    wt: 1:   5 Talking about Numbers and Quantities
  81.    wt: 1:   4 A Brief Story of numbers and algebra
  82.    wt: 1:   3 Comparison of Negative Numbers
  83.    wt: 1:   1 Squares and Square Roots Introduction
  84.    wt: 1:   2 Least Common Multiple LCM intro via list method
  85.    wt: 1:   1 Least Common Multiples LCM Introduction
  86.    wt: 1:   11 What are real lengths and numbers
  87.    wt: 1:   10 dividing signed numbers
  88.    wt: 1:   9 subtracting signed numbers
  89.    wt: 1:   8 multiplying signed numbers
  90.    wt: 1:   6 adding signed numbers
  91.    wt: 1:   5 lengths and signs of numbers
  92.    wt: 1:   3 signed coordinates for maps and planes
  93.    wt: 1:   2 signed and unsigned numbers as coordinates
  94.    wt: 1:   3 Multiplying Units and Numbers
  95.    wt: 1:   22 Complex Compound Fractions
  96.    wt: 1:   9 Improper Fractions and Mixed Numbers
  97.    wt: 1:   6 Multiplication of Mixed Numbers
  98.    wt: 1:   8 Multiplication by Signed Numbers Integers
  99.    wt: 1:   6 Multiplication by Natural Numbers
  100.    wt: 1:   4 video Prime Factorization Introduction
  101.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  102.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  103.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  104.    wt: 1:   Quick history of numbers and algebra
  105.    wt: 1:   016 Numbering Occidental Calendar Days
  106.    wt: 1:   011 Division of Time Intervals By Numbers
  107.    wt: 1:   1 Intro of Kids To Time Date Skills
  108.    wt: 1:   18 Chain Rule Introduction
  109.    wt: 1:   1 Numerical introduction
  110.    wt: 1:   A1. Introduction
  111.    wt: 1:   Chapter 23 Links To Trigonometry
  112.    wt: 1:   Chapter 1.Introduction
  113.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  114.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  115.    wt: 1:   Chapter 1 Introduction
  116.    wt: 1:   Chapter 1 Introduction
  117.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  118.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  119.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

564 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:   2 Complex Numbers made easier we hope
  5.    wt: 9:   Appetizer A Complex Number Applet
  6.    wt: 9:   4 Angles on Maps Plans drawn to scale
  7.    wt: 9:   3 Lengths and Areas on Maps and Plans
  8.    wt: 8:   Vector and Complex Number Applet
  9.    wt: 8:   17A The complex number valued trig function cis
  10.    wt: 8:   8 Unit Circle Development of Trigonometry
  11.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  12.    wt: 8:   6 Figuring with Maps Not to Scale
  13.    wt: 7:   13 Velocity Vectors in Physics
  14.    wt: 7:   8 Parallel Vectors
  15.    wt: 7:   6 Vectors with Coordinates
  16.    wt: 7:   3 Navigation with Arrows or Vectors
  17.    wt: 7:   Unit Circle Development of Trigonometry
  18.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  19.    wt: 7:   21 Logarithms Powers and Exponentials
  20.    wt: 7:   19 N th Roots of Unity
  21.    wt: 7:   18 Sixth Roots of Unity
  22.    wt: 7:   17 Cube Roots of unity
  23.    wt: 7:   16 References and Originality Question
  24.    wt: 7:   15 Pythagorean Theorem Converse
  25.    wt: 7:   14 Law of cosines
  26.    wt: 7:   13 Trig Formulas for dot and cross Products
  27.    wt: 7:   12 cis formulas for sine cosines and tangent
  28.    wt: 7:   11 sine and cosine double triple angle formulas
  29.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  30.    wt: 7:   7 Second Way to Calculate Products
  31.    wt: 7:   5 An Easy Proof of the Distributive Law
  32.    wt: 7:   4 Multiplication Properties
  33.    wt: 7:   3 Addition Properties
  34.    wt: 7:   1 Rectangular Polar Coordinates Review
  35.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  36.    wt: 7:   Why Trigonometry the whyslopes view
  37.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  38.    wt: 7:   7 Complex Numbers Appetizer
  39.    wt: 7:   PS H Distributive Law For Complex Numbers
  40.    wt: 7:   A Measurement with Ruler Proper Use
  41.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  42.    wt: 7:   2 Measuring Area Directly
  43.    wt: 7:   1 Length Measurement
  44.    wt: 6:   1 Degrees and Radians Introduction
  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:   17F Law of cosines
  78.    wt: 6:   17E Trig Formulas for dot and cross Products
  79.    wt: 6:   17D cis formulas for sine cosines and tangent
  80.    wt: 6:   17C sine and cosine double triple angle formulas
  81.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  82.    wt: 6:   16 Right Triangle Complementary Angle Relations
  83.    wt: 6:   15 sine cosine Complementary Angle Relations
  84.    wt: 6:   14 cosine even and sine and tangent are odd
  85.    wt: 6:   13 Graph of tangent function many periods
  86.    wt: 6:   12 Graph of tangent function for one period
  87.    wt: 6:   11 tangent function undefined when terminal side vertical
  88.    wt: 6:   10 Graphs of sines and cosines many periods
  89.    wt: 6:   9 Graphs of sine and cosine over one period
  90.    wt: 6:   8 period of tangent function
  91.    wt: 6:   7 period of sine and cosine
  92.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  93.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  94.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  95.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  96.    wt: 6:   2 Quadrant I reference Angles
  97.    wt: 6:   1 Unit Points Reflections Rotations
  98.    wt: 6:   8 Triangles Cascade Problem Solving
  99.    wt: 6:   7 Trignometric Ratios Unit Circle
  100.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  101.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  102.    wt: 6:   3 Trigonometric Ratios sine and cosine
  103.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  104.    wt: 6:   1 Angle Measurement with Degrees
  105.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  106.    wt: 5:   16 cotangent function Definition Graph and Inverse
  107.    wt: 5:   15 cosecant function Definition Graph and Inverse
  108.    wt: 5:   14 secant function Definition Graph and Inverse
  109.    wt: 5:   13 cosecant function Definition Graph and Inverse
  110.    wt: 5:   12 motivation for term arctan
  111.    wt: 5:   11 arctan left inverse of tangent Graph
  112.    wt: 5:   10 arctan left inverse of tangent Definition
  113.    wt: 5:   9 motivation for name arcsin
  114.    wt: 5:   8 arcsin left inverse of sine Graph
  115.    wt: 5:   7 arcsin left inverse of sine Definition
  116.    wt: 5:   6 Graph of arccos function
  117.    wt: 5:   5 Swapping Coordinates is a reflection
  118.    wt: 5:   4 possible motivation for term arccos
  119.    wt: 5:   3 Left Inverse of cosine arccos definition
  120.    wt: 5:   2 cosine function more properties
  121.    wt: 5:   1 cosine function properties
  122.    wt: 5:   9 Summary Degrees to Radians and back
  123.    wt: 5:   8 Radian Measures of Common Angles
  124.    wt: 5:   7 Radian Measures in special Triangles
  125.    wt: 5:   6 Radian Measure to Degrees
  126.    wt: 5:   5 Degrees to Radian Measure
  127.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  128.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  129.    wt: 5:   2 Radian Measure Numerical Value of one degree
  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: 4:   Chapter 20 Vectors and Complex Numbers
  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 22 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:   24 Signed Numbers Arithmmetic Properties
  248.    wt: 2:   22 Multiplication of Signed Numbers
  249.    wt: 2:   19 Signed Multiples of Vectors
  250.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  251.    wt: 2:   13 Arrows and Vectors in a Plane
  252.    wt: 2:   12 Real Numbers Line Signed Coordinates
  253.    wt: 2:   11 Signed Number Addition and Addition Properties
  254.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  255.    wt: 2:   16 Real Numbers Comparison
  256.    wt: 2:   15 Real Number Division
  257.    wt: 2:   14 Real Number Multiplication
  258.    wt: 2:   13 Real Number Subtraction
  259.    wt: 2:   12 Real Number Additive Inverses or Negatives
  260.    wt: 2:   11 Real Number Addition
  261.    wt: 2:   10 Real Number Lengths and Signs
  262.    wt: 2:   8 Coordinates for Maps and Planes
  263.    wt: 2:   7 Real Numbers as Line Cordinates
  264.    wt: 2:   6 Unsigned Real Numbers
  265.    wt: 2:   5 Rational Numbers More
  266.    wt: 2:   4 Rational Numbers
  267.    wt: 2:   1 Whole and Natural Numbers
  268.    wt: 2:   4 Greater More Less Than Signs in General
  269.    wt: 2:   2 More and Less Than with Unlike Signs
  270.    wt: 2:   1 More and Less Than for Counts and Measures
  271.    wt: 2:   1 Squares and Square Roots Introduction
  272.    wt: 2:   2 Least Common Multiple LCM intro via list method
  273.    wt: 2:   1 Least Common Multiples LCM Introduction
  274.    wt: 2:   7 negative and additive inverse
  275.    wt: 2:   4 signed coordinates for regions in space
  276.    wt: 2:   3 Multiplying Units and Numbers
  277.    wt: 2:   22 Complex Compound Fractions
  278.    wt: 2:   9 Improper Fractions and Mixed Numbers
  279.    wt: 2:   6 Multiplication of Mixed Numbers
  280.    wt: 2:   8 Multiplication by Signed Numbers Integers
  281.    wt: 2:   6 Multiplication by Natural Numbers
  282.    wt: 2:   4 video Prime Factorization Introduction
  283.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  284.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  285.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  286.    wt: 2:   Quick history of numbers and algebra
  287.    wt: 2:   Chapter 23 Links To Trigonometry
  288.    wt: 2:   Chapter 1.Introduction
  289.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  290.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  291.    wt: 1:   J LAMP Introduction Extrinsic Origins
  292.    wt: 1:   I LAMP Introduction Study Habits
  293.    wt: 1:   H LAMP Introduction Instructional Concepts
  294.    wt: 1:   G LAMP Introduction Problem Solving Skills
  295.    wt: 1:   F LAMP Introduction Prerequisites
  296.    wt: 1:   E LAMP Introduction Modern Mathematics
  297.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  298.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  299.    wt: 1:   A Introduction Objectives
  300.    wt: 1:   Ramblings Extrinsic numbers theory
  301.    wt: 1:   Ramblings Introduction Algebra Essay
  302.    wt: 1:   Skills Chapter 0 Introduction
  303.    wt: 1:   2 arithmetic with signed numbers
  304.    wt: 1:   1 arithmetic with unsigned numbers
  305.    wt: 1:   About site lesson plans
  306.    wt: 1:   chapitre 01 00 Introduction
  307.    wt: 1:   1 Geometric Introduction of Function Notation
  308.    wt: 1:   Introduction Reading Guide
  309.    wt: 1:   A Modular and Remainder Arithmetic
  310.    wt: 1:   26 More Less Greater Than Comparison
  311.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  312.    wt: 1:   23 Distributive Law Two Derivations
  313.    wt: 1:   21 Addition of Multiples of a Single Vector
  314.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  315.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  316.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  317.    wt: 1:   15 Head to Tails in place Addition Associative
  318.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  319.    wt: 1:   9 Division with Digits after Decimal Point
  320.    wt: 1:   8 Division and Mulplication of Compound Fractions
  321.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  322.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  323.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  324.    wt: 1:   4 Location of Point in Decimal Addition
  325.    wt: 1:   3 Location of Point in Decimal Multiplication
  326.    wt: 1:   2 Counting Digits in Decimal Multiplication
  327.    wt: 1:   1 Fractions with Finite Decimal Expansions
  328.    wt: 1:   5 Distributive Law for Whole Numbers
  329.    wt: 1:   1 The Counting Origins of Numbers
  330.    wt: 1:   4 Comparison of Negative Numbers
  331.    wt: 1:   1 Real Numbers Comparison
  332.    wt: 1:   9 Coordinates for Regions in Space
  333.    wt: 1:   3 Fractions
  334.    wt: 1:   2 Integers
  335.    wt: 1:   5 Algebraic Solutions Introduction
  336.    wt: 1:   7 Compound Interest Formula Introduction
  337.    wt: 1:   8 Sets of Numbers
  338.    wt: 1:   5 Talking about Numbers and Quantities
  339.    wt: 1:   4 A Brief Story of numbers and algebra
  340.    wt: 1:   arithmetic videos Real Player Format
  341.    wt: 1:   5 Square Roots with primes more still
  342.    wt: 1:   4 Square Roots with primes more
  343.    wt: 1:   3 Properties of Square Roots with example
  344.    wt: 1:   2 Square Roots with Prime
  345.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  346.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  347.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  348.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  349.    wt: 1:   13 GCD from given Prime Factorization
  350.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  351.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  352.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  353.    wt: 1:   8 GCD from Euclidean Algorithm
  354.    wt: 1:   7 GCD and LCM from prime factorization
  355.    wt: 1:   6 GCD from Prime
  356.    wt: 1:   5 Common Divisors 60 45 via Prime
  357.    wt: 1:   4 LCM of 8 and 10 via Prime
  358.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  359.    wt: 1:   12 GCD 2700 288 via Prime
  360.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  361.    wt: 1:   4 Counting with Trees Product Rule Take I
  362.    wt: 1:   3 Counting with Tables and Trees II
  363.    wt: 1:   2 Counting with Tables and Trees I
  364.    wt: 1:   1 Counting and Counting Methods I
  365.    wt: 1:   7 Converting or Changing Units
  366.    wt: 1:   6 Simplification of Fractions with Units
  367.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  368.    wt: 1:   4 Fractions with Units
  369.    wt: 1:   2 Equality and Units
  370.    wt: 1:   1 Addition and Subtraction with Units
  371.    wt: 1:   D Three Term Ratios
  372.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  373.    wt: 1:   B Fractions and Two Term Ratios
  374.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  375.    wt: 1:   21 Working With Signs
  376.    wt: 1:   21 Reciprocals for Fractions and Wholes
  377.    wt: 1:   20 Dividing Fractions the Why
  378.    wt: 1:   19 Dividing Fractions How TO
  379.    wt: 1:   18 Efficient Ways to Multiply
  380.    wt: 1:   17 Efficient Ways to Add and Subtract
  381.    wt: 1:   16 Addition Subtraction Comparision Compared
  382.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  383.    wt: 1:   14 Adding and Subtracting with Like Denominators
  384.    wt: 1:   13 Fraction Comparison Algebraic View
  385.    wt: 1:   12 Fraction Comparison
  386.    wt: 1:   11 Simplification an Algebraic View
  387.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  388.    wt: 1:   8 Numerals Fractionals Quantals Take II
  389.    wt: 1:   7 Numerals Fractionals Quantals
  390.    wt: 1:   6 Multiplication Algebraically Take II
  391.    wt: 1:   5 Equivalent Fractions
  392.    wt: 1:   4 Fraction Multiplication
  393.    wt: 1:   3 Unit fraction of a fraction
  394.    wt: 1:   2 Unit Fraction Multiplication
  395.    wt: 1:   1 What is a fraction Take II
  396.    wt: 1:   1 What is a fraction
  397.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  398.    wt: 1:   D Remainders Modulo 11 Pair Rule
  399.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  400.    wt: 1:   B Integer Long Division Multiple Choices
  401.    wt: 1:   A Associative Law Theorectical Note
  402.    wt: 1:   13 Subtraction with Additive Inverse
  403.    wt: 1:   12 Adding Integers More Examples
  404.    wt: 1:   11 Adding Integers Formulas and Examples
  405.    wt: 1:   10 Integer Multiplication Formulas
  406.    wt: 1:   9 Multiplying Integers
  407.    wt: 1:   7 Multiplication by Signs
  408.    wt: 1:   5 Zero Movement and Additive Inverses
  409.    wt: 1:   4 Adding Movements wiht opposite directions
  410.    wt: 1:   3 Adding Movements with same direction
  411.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  412.    wt: 1:   1 Integers as Coordinates
  413.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  414.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  415.    wt: 1:   26 Divisibility by 2 3 5 Example
  416.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  417.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  418.    wt: 1:   23 Remainder Arithmetic Modulo 2
  419.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  420.    wt: 1:   21 Remainder Arithmetic Modulo 3
  421.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  422.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  423.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  424.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  425.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  426.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  427.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  428.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  429.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  430.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  431.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  432.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  433.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  434.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  435.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  436.    wt: 1:   5 Remainder Arithmetic Modulo 5
  437.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  438.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  439.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  440.    wt: 1:   1 Remainder Arithmetic Modulo 10
  441.    wt: 1:   20 Uniqueness of Prime Factorization
  442.    wt: 1:   19 video Prime Factorization Unique
  443.    wt: 1:   18 video Count Factors given Prime Factorization
  444.    wt: 1:   17 Identify and Count Factors using Primes
  445.    wt: 1:   16 video Factors of 980 using prime
  446.    wt: 1:   15 video Factors of 20 using Prime Factorization
  447.    wt: 1:   14 video Factors of 24 Take II
  448.    wt: 1:   13 video Factors of 24 using prime
  449.    wt: 1:   12 LCD GCD and LCM using Primes
  450.    wt: 1:   11 Efficient Square Rule Use
  451.    wt: 1:   10 video Prime Factorization upto 23 squared
  452.    wt: 1:   9 video Prime Factorization upto 19 squared
  453.    wt: 1:   8 video Prime Factorization upto 19
  454.    wt: 1:   7 Calculator Usage Notes and Cautions
  455.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  456.    wt: 1:   5 Prime Factorization and a Square Rule
  457.    wt: 1:   3 video Primes and Composites from 9 times table
  458.    wt: 1:   2 Prime and Composites less than 16
  459.    wt: 1:   1 video how Products are bigger than factor
  460.    wt: 1:   Long Division Backwards more
  461.    wt: 1:   Long Division Backward
  462.    wt: 1:   Division with Counts and Length
  463.    wt: 1:   Long Division forwards and backwards Example 3
  464.    wt: 1:   Long Division forwards and backwards Example 2
  465.    wt: 1:   Long Division forwards and backwards Example 1
  466.    wt: 1:   12 Why Long Division Works Take III
  467.    wt: 1:   11 Another Single Digit Divisor Example
  468.    wt: 1:   10 Division by Five Long and Short Ways
  469.    wt: 1:   9 Why Long Division Works Take II
  470.    wt: 1:   8 Correcting the Mistake
  471.    wt: 1:   7 Long Divison Mistake Catching
  472.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  473.    wt: 1:   5 Long Division Include Zeroes or not
  474.    wt: 1:   4 Division with 2 Digit Divsors
  475.    wt: 1:   3 Division Single Digit Divisor Example
  476.    wt: 1:   2 Division with Single Digit Divisors
  477.    wt: 1:   1 Divsion Physical Examples
  478.    wt: 1:   D Decimal Multiplication Methods Derived
  479.    wt: 1:   C Counting Areas with Powers of Ten
  480.    wt: 1:   B Powers of Ten
  481.    wt: 1:   A Elementary Basis for Multiplication Methods
  482.    wt: 1:   6 Multiplication Commutes Order Not Important
  483.    wt: 1:   5 Decimal Fraction Multiplication
  484.    wt: 1:   4 Two and Three Digit Multipliers
  485.    wt: 1:   3 More One Digit Multipliers
  486.    wt: 1:   2 One Digit Multipliers
  487.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  488.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  489.    wt: 1:   Video Power Notation in Decimal Expansion
  490.    wt: 1:   1 Why 3 times 5 gives 15
  491.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  492.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  493.    wt: 1:   Subtraction with J Conversions Example
  494.    wt: 1:   Subtraction Another Video Lesson
  495.    wt: 1:   9 22 Minute Subtraction Review Video
  496.    wt: 1:   8 Subtraction with Units of Measure
  497.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  498.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  499.    wt: 1:   5 A Tip for Efficent Subtraction
  500.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  501.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  502.    wt: 1:   2 Subtraction Easy Case Examples
  503.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  504.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  505.    wt: 1:   8 What skills and work habits to require
  506.    wt: 1:   7 Adding decimal fractions using decimal point
  507.    wt: 1:   6. Counting and adding units and mixed units
  508.    wt: 1:   5. How to add decimals C. Examples
  509.    wt: 1:   4. How to add with decimals B with conversions
  510.    wt: 1:   3. How to add with decimals A sans conversions
  511.    wt: 1:   2 Decimal Counting Practices
  512.    wt: 1:   1. Explaining Addition Table
  513.    wt: 1:   11 Place Value SI Standard International way
  514.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  515.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  516.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  517.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  518.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  519.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  520.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  521.    wt: 1:   Exact Arithmetic Wholes and Fractions
  522.    wt: 1:   Formula Evaluation how to show work
  523.    wt: 1:   Expression Evaluation how to show work
  524.    wt: 1:   The 20 Times Table
  525.    wt: 1:   The 12 Times Table Visually
  526.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  527.    wt: 1:   About folder contents
  528.    wt: 1:   016 Numbering Occidental Calendar Days
  529.    wt: 1:   011 Division of Time Intervals By Numbers
  530.    wt: 1:   1 Intro of Kids To Time Date Skills
  531.    wt: 1:   18 Chain Rule Introduction
  532.    wt: 1:   1 Numerical introduction
  533.    wt: 1:   A1. Introduction
  534.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  535.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  536.    wt: 1:   Chapter 21 Arrow Addition
  537.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  538.    wt: 1:   Chapter 18. Slopes Areas Integration
  539.    wt: 1:   Chapter 17. Area Approximation
  540.    wt: 1:   Chapter 16. Velocity Approximation
  541.    wt: 1:   Chapter 15. Slope Approximation
  542.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  543.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  544.    wt: 1:   Chapter 13. Acceleration
  545.    wt: 1:   Chapter 12. Units and Slopes
  546.    wt: 1:   Chapter 11. Graphing Slope versus Position
  547.    wt: 1:   Chapter 10 Slopes and Units
  548.    wt: 1:   Chapter 9 About First Courses in Calculus
  549.    wt: 1:   Chapter 8. Slope Interpretation
  550.    wt: 1:   Chapter 7 Slopes and Velocity
  551.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  552.    wt: 1:   Chapter 5. Slope Sign Tests
  553.    wt: 1:   Chapter 4. More Slope Sign Analysis
  554.    wt: 1:   Chapter 3. Slope Sign Analysis
  555.    wt: 1:   Chapter 2. Slopes and Ski Trails
  556.    wt: 1:   Fall 1983 Calculus Appetizer
  557.    wt: 1:   Foreword
  558.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  559.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  560.    wt: 1:   Chapter 1 Introduction
  561.    wt: 1:   Chapter 1 Introduction
  562.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  563.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  564.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

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For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

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Volume 1, Elements of Reason - Intro to all site books.
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Written work formats for Arithmetic and Algebra - a skill method and standard!
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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

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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
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10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
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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.

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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:

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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.

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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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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
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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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