Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, 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.

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46 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   10 Examples of Algebraic Reasoning/
  20.    wt: 2:   9 Proportionality Backwards and Forwards/
  21.    wt: 2:   Step 1 Stick diagram and fractions/
  22.    wt: 1:   Mathematics Skills Year by Year/
  23.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  24.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  25.    wt: 1:   12 Function Translating and Rescaling/
  26.    wt: 1:   11 Parallel Straight Lines and Transversals/
  27.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  28.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  29.    wt: 1:   7 Complex Numbers/
  30.    wt: 1:   6 Trigonometry first steps/
  31.    wt: 1:   4 Lines and Slopes Take 1/
  32.    wt: 1:   3 Cartesian and Polar Coordinates/
  33.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  34.    wt: 1:   B Real Numbers Extrinsic Development/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   5 Real Numbers/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  39.    wt: 1:   Time Date Matters/
  40.    wt: 1:   Skills with take home value/
  41.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   13 Lessons on Limits and Continuity/
  43.    wt: 1:   Volume 2 Three Skills For Algebra/
  44.    wt: 1:   Volume 1 Elements of Reason/
  45.    wt: 1:   Work and Study Tips/
  46.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

488 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 3:   27 Logarithmic use of products of sines and cosines
  3.    wt: 3:   10 Graphs of sines and cosines many periods
  4.    wt: 3:   8 Division and Mulplication of Compound Fractions
  5.    wt: 3:   4 A Brief Story of numbers and algebra
  6.    wt: 3:   5 lengths and signs of numbers
  7.    wt: 3:   B Fractions and Two Term Ratios
  8.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  9.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  10.    wt: 3:   9 Improper Fractions and Mixed Numbers
  11.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  12.    wt: 3:   Quick history of numbers and algebra
  13.    wt: 3:   17 Derivatives of quotients of sine and cosine
  14.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  15.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  16.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  17.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  18.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  19.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  20.    wt: 2:   Ramblings Extrinsic numbers theory
  21.    wt: 2:   Theory of Knowledge
  22.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  23.    wt: 2:   2 Reading and Writing Skills
  24.    wt: 2:   8 Set view of relations and functions
  25.    wt: 2:   4 Resultant of a Sum of Movements
  26.    wt: 2:   Vector and Complex Number Applet
  27.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  28.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  29.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  30.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  31.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  32.    wt: 2:   26 Formulas for products of sines and cosines
  33.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  34.    wt: 2:   14 cosine even and sine and tangent are odd
  35.    wt: 2:   13 Graph of tangent function many periods
  36.    wt: 2:   9 Graphs of sine and cosine over one period
  37.    wt: 2:   7 period of sine and cosine
  38.    wt: 2:   20 N th Roots of Complex Numbers
  39.    wt: 2:   6 Field Properties of Complex Number
  40.    wt: 2:   5 An Easy Proof of the Distributive Law
  41.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  42.    wt: 2:   3 Trigonometric Ratios sine and cosine
  43.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  44.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  45.    wt: 2:   8 Similarity of Triangles and Polygons
  46.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  47.    wt: 2:   10 Midpoint of [a b] and [b a]
  48.    wt: 2:   1 Numerical view of lines and their equations
  49.    wt: 2:   3 Lengths and Areas on Maps and Plans
  50.    wt: 2:   22 Multiplication of Signed Numbers
  51.    wt: 2:   21 Addition of Multiples of a Single Vector
  52.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  53.    wt: 2:   11 Signed Number Addition and Addition Properties
  54.    wt: 2:   2 Combing Counts Addition Skills and Principles
  55.    wt: 2:   1 The Counting Origins of Numbers
  56.    wt: 2:   5 Proportionality in Equivalent Fractions
  57.    wt: 2:   4 Rates Ratios and Proporitionality
  58.    wt: 2:   3 Proportionality Examples
  59.    wt: 2:   4 Comparison of Negative Numbers
  60.    wt: 2:   2 More and Less Than for Counts and Measures
  61.    wt: 2:   10 Real Number Lengths and Signs
  62.    wt: 2:   1 Whole and Natural Numbers
  63.    wt: 2:   8 Sets of Numbers
  64.    wt: 2:   5 Talking about Numbers and Quantities
  65.    wt: 2:   3 Comparison of Negative Numbers
  66.    wt: 2:   1 More and Less Than for Counts and Measures
  67.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  68.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  69.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  70.    wt: 2:   4 LCM of 8 and 10 via Prime
  71.    wt: 2:   11 What are real lengths and numbers
  72.    wt: 2:   2 signed and unsigned numbers as coordinates
  73.    wt: 2:   6 Simplification of Fractions with Units
  74.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  75.    wt: 2:   3 Multiplying Units and Numbers
  76.    wt: 2:   21 Reciprocals for Fractions and Wholes
  77.    wt: 2:   11 Adding Integers Formulas and Examples
  78.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  79.    wt: 2:   8 What skills and work habits to require
  80.    wt: 2:   6. Counting and adding units and mixed units
  81.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  82.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  83.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  84.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  85.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  86.    wt: 2:   Exact Arithmetic Wholes and Fractions
  87.    wt: 2:   011 Division of Time Intervals By Numbers
  88.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  89.    wt: 2:   4 Mixing and Changing Units of Time
  90.    wt: 2:   3 Units and Lengths of Time
  91.    wt: 2:   1 Intro of Kids To Time Date Skills
  92.    wt: 2:   38 Formulas and derivatives for powers and roots
  93.    wt: 2:   5 Jumps and absence of unlimited error control
  94.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  95.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  96.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  97.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  98.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  99.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  100.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  101.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  102.    wt: 2:   I. Logic and language skills
  103.    wt: 2:   How to Build Skills and Confidence
  104.    wt: 1:   Appendix 1 primary and preschool mathematic
  105.    wt: 1:   G LAMP Introduction Problem Solving Skills
  106.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  107.    wt: 1:   Skills Chapter 5 Calculus
  108.    wt: 1:   Skills Chapter 4 Logic
  109.    wt: 1:   Skills Chapter 3 Algebra
  110.    wt: 1:   Skills Chapter 2 Geometry
  111.    wt: 1:   Skills Chapter 1 Arithmetic
  112.    wt: 1:   Skills Chapter 0 Introduction
  113.    wt: 1:   7 logic review and decimals an odd combination
  114.    wt: 1:   5 logarithms and exponentials etc
  115.    wt: 1:   2 arithmetic with signed numbers
  116.    wt: 1:   1 arithmetic with unsigned numbers
  117.    wt: 1:   key notes and themes
  118.    wt: 1:   Mathematics Education Professors
  119.    wt: 1:   what should be learnt and When
  120.    wt: 1:   standards for course material
  121.    wt: 1:   Education in mathematics science and technology
  122.    wt: 1:   Different Kinds of Reasoning in maths
  123.    wt: 1:   three kinds of reason in mathematics
  124.    wt: 1:   Motivation and Context Problem
  125.    wt: 1:   fairness and inductive principles for instruction
  126.    wt: 1:   E Kirchoffs Second Law
  127.    wt: 1:   D Kirchoff First Law
  128.    wt: 1:   Home Tutoring and Home Schooling
  129.    wt: 1:   24 Standards For Skill Develoment Take II
  130.    wt: 1:   24 Standards For Skill Develoment
  131.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  132.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  133.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  134.    wt: 1:   17 Math Booklets for children and young teenagers
  135.    wt: 1:   14 Multiplication and Times Tables
  136.    wt: 1:   13 Addition and Addition Tables
  137.    wt: 1:   12 Goals and Objectives For Mathematics
  138.    wt: 1:   11 Help and Defend Your Child or Teens Education
  139.    wt: 1:   8 The Effect of Negative Remarks
  140.    wt: 1:   5 Patience Please for Yourself and Your Charges
  141.    wt: 1:   4 Learning Takes Time and Effort
  142.    wt: 1:   1 Speaking Skills
  143.    wt: 1:   Ages 12 to 14 Skills with take home value
  144.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  145.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  146.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  147.    wt: 1:   26 Function definitions done and coming
  148.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  149.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  150.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  151.    wt: 1:   19 Horizontal line rule and method
  152.    wt: 1:   18 Vertical Line Rule and Method
  153.    wt: 1:   17 Function maxima minima and their location
  154.    wt: 1:   15 Sign analysis of functions
  155.    wt: 1:   13 From one to one to many to one
  156.    wt: 1:   11 Function Domain Range Source and Targets
  157.    wt: 1:   9 Set theory term relation possible origins
  158.    wt: 1:   6 Set Existence Formation and Notation
  159.    wt: 1:   4 Function notation in and beyond mathematics
  160.    wt: 1:   2 Algebraic use of function notation
  161.    wt: 1:   1 Geometric Introduction of Function Notation
  162.    wt: 1:   9 quadratics physical and further context
  163.    wt: 1:   8 quadratics backward use of various formulas
  164.    wt: 1:   4 quadratics difference of two squares
  165.    wt: 1:   11 Growth and Decay in Biology
  166.    wt: 1:   10 Exponential Growth and Decay Models
  167.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  168.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  169.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  170.    wt: 1:   16 cotangent function Definition Graph and Inverse
  171.    wt: 1:   15 cosecant function Definition Graph and Inverse
  172.    wt: 1:   14 secant function Definition Graph and Inverse
  173.    wt: 1:   13 cosecant function Definition Graph and Inverse
  174.    wt: 1:   11 arctan left inverse of tangent Graph
  175.    wt: 1:   10 arctan left inverse of tangent Definition
  176.    wt: 1:   8 arcsin left inverse of sine Graph
  177.    wt: 1:   7 arcsin left inverse of sine Definition
  178.    wt: 1:   6 Graph of arccos function
  179.    wt: 1:   3 Left Inverse of cosine arccos definition
  180.    wt: 1:   9 Summary Degrees to Radians and back
  181.    wt: 1:   8 Radian Measures of Common Angles
  182.    wt: 1:   2 Radian Measure Numerical Value of one degree
  183.    wt: 1:   1 Degrees and Radians Introduction
  184.    wt: 1:   A Global Time and Navigation
  185.    wt: 1:   15 Dot and Cross Product
  186.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  187.    wt: 1:   Parallel Lines and Parallel Transversals
  188.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  189.    wt: 1:   Parallel Lines and Interior Angles
  190.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  191.    wt: 1:   Straight Lines Intersection of
  192.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  193.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  194.    wt: 1:   32 seven rows of pascals triangle
  195.    wt: 1:   30 unit circle calculation of six trigonometric functions
  196.    wt: 1:   29 secant cosecant and cotangent for acute angles
  197.    wt: 1:   28 Expressing products of sines cosines as sums
  198.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  199.    wt: 1:   21 sine and cosine Half Angle Formulas
  200.    wt: 1:   20 sine and cosine Double Angle Formulas
  201.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  202.    wt: 1:   18 sum of sinusoidal waves as a single wave
  203.    wt: 1:   17F Law of cosines
  204.    wt: 1:   17E Trig Formulas for dot and cross Products
  205.    wt: 1:   17D cis formulas for sine cosines and tangent
  206.    wt: 1:   17C sine and cosine double triple angle formulas
  207.    wt: 1:   17A The complex number valued trig function cis
  208.    wt: 1:   12 Graph of tangent function for one period
  209.    wt: 1:   8 period of tangent function
  210.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  211.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  212.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  213.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  214.    wt: 1:   Unit Circle Development of Trigonometry
  215.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  216.    wt: 1:   21 Logarithms Powers and Exponentials
  217.    wt: 1:   19 N th Roots of Unity
  218.    wt: 1:   18 Sixth Roots of Unity
  219.    wt: 1:   17 Cube Roots of unity
  220.    wt: 1:   16 References and Originality Question
  221.    wt: 1:   14 Law of cosines
  222.    wt: 1:   13 Trig Formulas for dot and cross Products
  223.    wt: 1:   12 cis formulas for sine cosines and tangent
  224.    wt: 1:   11 sine and cosine double triple angle formulas
  225.    wt: 1:   9 The complex number valued trig function cis
  226.    wt: 1:   8 Unit Circle Development of Trigonometry
  227.    wt: 1:   2 Complex Numbers made easier we hope
  228.    wt: 1:   Appetizer A Complex Number Applet
  229.    wt: 1:   7 Trignometric Ratios Unit Circle
  230.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  231.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  232.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  233.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  234.    wt: 1:   9 Similarity of Triangles Usual Criteria
  235.    wt: 1:   1 Early Concept of Like or Similar Shapes
  236.    wt: 1:   7 Exercises to test skill and concept mastery
  237.    wt: 1:   6 Intersection of lines by solving linear systems
  238.    wt: 1:   5 Algebraic View of Slopes
  239.    wt: 1:   What is and is not here
  240.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  241.    wt: 1:   7 Complex Numbers Appetizer
  242.    wt: 1:   6 Polar Multiplication and Rotation
  243.    wt: 1:   5 Cartesian Addition and Translation
  244.    wt: 1:   4 Polar Coordinates to and from
  245.    wt: 1:   PS H Distributive Law For Complex Numbers
  246.    wt: 1:   17 Right Bisectors of Triangle Sides
  247.    wt: 1:   16 Angles Subtended By Chords and Diameters
  248.    wt: 1:   9 Construction of a right bisector
  249.    wt: 1:   6 Ruler and compass Angle Bisection
  250.    wt: 1:   3 Isometry of Triangles Congruence
  251.    wt: 1:   1 Initial Concepts and Terms
  252.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  253.    wt: 1:   musings do not puiblish real numbers
  254.    wt: 1:   A Modular and Remainder Arithmetic
  255.    wt: 1:   A Signed Number Arithmetic Review
  256.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  257.    wt: 1:   19 Signed Multiples of Vectors
  258.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  259.    wt: 1:   13 Arrows and Vectors in a Plane
  260.    wt: 1:   12 Real Numbers Line Signed Coordinates
  261.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  262.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  263.    wt: 1:   4 Location of Point in Decimal Addition
  264.    wt: 1:   3 Location of Point in Decimal Multiplication
  265.    wt: 1:   1 Fractions with Finite Decimal Expansions
  266.    wt: 1:   B Decimal Comparison and Subtraction
  267.    wt: 1:   7 Decimals Multiplication Methods Examples
  268.    wt: 1:   5 Distributive Law for Whole Numbers
  269.    wt: 1:   3 Multiplicative Counting Skills Principles
  270.    wt: 1:   5 Areas of Rectangles Revisited
  271.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  272.    wt: 1:   1 What is Proportionality
  273.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  274.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  275.    wt: 1:   6 Compound Interest Forward and Backwards
  276.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  277.    wt: 1:   6 Equations and Systems Equivalent or Implied
  278.    wt: 1:   4 Subtraction and Division Axioms
  279.    wt: 1:   2 Addition and Multiplication Axioms
  280.    wt: 1:   3 More and Less Than with Unlike Signs
  281.    wt: 1:   1 Real Numbers Comparison
  282.    wt: 1:   16 Real Numbers Comparison
  283.    wt: 1:   15 Real Number Division
  284.    wt: 1:   14 Real Number Multiplication
  285.    wt: 1:   13 Real Number Subtraction
  286.    wt: 1:   12 Real Number Additive Inverses or Negatives
  287.    wt: 1:   11 Real Number Addition
  288.    wt: 1:   8 Coordinates for Maps and Planes
  289.    wt: 1:   7 Real Numbers as Line Cordinates
  290.    wt: 1:   6 Unsigned Real Numbers
  291.    wt: 1:   5 Rational Numbers More
  292.    wt: 1:   4 Rational Numbers
  293.    wt: 1:   3 Fractions
  294.    wt: 1:   3 Geometric Formulas and Function Notation
  295.    wt: 1:   1 Formulas Dependence and Function Notation
  296.    wt: 1:   4 GE III Animated Examples
  297.    wt: 1:   3 GE III Equation Addition and Multiplication
  298.    wt: 1:   1 GE Substitution four examples
  299.    wt: 1:   4 Four Examples Fractional Coefficients
  300.    wt: 1:   3 Four Examples
  301.    wt: 1:   2 Three Examples
  302.    wt: 1:   9 Three Examples
  303.    wt: 1:   7 Two Examples
  304.    wt: 1:   6 Three Examples
  305.    wt: 1:   5 Three Examples
  306.    wt: 1:   4 Two Examples
  307.    wt: 1:   3 Two Examples
  308.    wt: 1:   2 Three Examples
  309.    wt: 1:   11 Volume of Sphere
  310.    wt: 1:   10 Volume of Pyramid
  311.    wt: 1:   9 Volume of Cone
  312.    wt: 1:   1 Written work formats for developing and showing skill
  313.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  314.    wt: 1:   9 Sets in Probability and Statistics
  315.    wt: 1:   6 Three Notions of What is a Variable
  316.    wt: 1:   1 Three Skills For Algebra
  317.    wt: 1:   2 More and Less Than with Unlike Signs
  318.    wt: 1:   3 Properties of Square Roots with example
  319.    wt: 1:   1 Squares and Square Roots Introduction
  320.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  321.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  322.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  323.    wt: 1:   7 GCD and LCM from prime factorization
  324.    wt: 1:   3 Counting with Tables and Trees II
  325.    wt: 1:   2 Counting with Tables and Trees I
  326.    wt: 1:   1 Counting and Counting Methods I
  327.    wt: 1:   10 dividing signed numbers
  328.    wt: 1:   9 subtracting signed numbers
  329.    wt: 1:   8 multiplying signed numbers
  330.    wt: 1:   7 negative and additive inverse
  331.    wt: 1:   6 adding signed numbers
  332.    wt: 1:   3 signed coordinates for maps and planes
  333.    wt: 1:   4 Fractions with Units
  334.    wt: 1:   2 Equality and Units
  335.    wt: 1:   1 Addition and Subtraction with Units
  336.    wt: 1:   D Three Term Ratios
  337.    wt: 1:   22 Complex Compound Fractions
  338.    wt: 1:   20 Dividing Fractions the Why
  339.    wt: 1:   19 Dividing Fractions How TO
  340.    wt: 1:   17 Efficient Ways to Add and Subtract
  341.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  342.    wt: 1:   14 Adding and Subtracting with Like Denominators
  343.    wt: 1:   5 Equivalent Fractions
  344.    wt: 1:   3 Unit fraction of a fraction
  345.    wt: 1:   12 Adding Integers More Examples
  346.    wt: 1:   8 Multiplication by Signed Numbers Integers
  347.    wt: 1:   6 Multiplication by Natural Numbers
  348.    wt: 1:   5 Zero Movement and Additive Inverses
  349.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  350.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  351.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  352.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  353.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  354.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  355.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  356.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  357.    wt: 1:   20 Uniqueness of Prime Factorization
  358.    wt: 1:   17 Identify and Count Factors using Primes
  359.    wt: 1:   16 video Factors of 980 using prime
  360.    wt: 1:   15 video Factors of 20 using Prime Factorization
  361.    wt: 1:   14 video Factors of 24 Take II
  362.    wt: 1:   13 video Factors of 24 using prime
  363.    wt: 1:   12 LCD GCD and LCM using Primes
  364.    wt: 1:   7 Calculator Usage Notes and Cautions
  365.    wt: 1:   5 Prime Factorization and a Square Rule
  366.    wt: 1:   3 video Primes and Composites from 9 times table
  367.    wt: 1:   2 Prime and Composites less than 16
  368.    wt: 1:   Division with Counts and Length
  369.    wt: 1:   Long Division forwards and backwards Example 3
  370.    wt: 1:   Long Division forwards and backwards Example 2
  371.    wt: 1:   Long Division forwards and backwards Example 1
  372.    wt: 1:   10 Division by Five Long and Short Ways
  373.    wt: 1:   1 Divsion Physical Examples
  374.    wt: 1:   C Counting Areas with Powers of Ten
  375.    wt: 1:   B Powers of Ten
  376.    wt: 1:   4 Two and Three Digit Multipliers
  377.    wt: 1:   8 Subtraction with Units of Measure
  378.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  379.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  380.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  381.    wt: 1:   2 Subtraction Easy Case Examples
  382.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  383.    wt: 1:   7 Adding decimal fractions using decimal point
  384.    wt: 1:   5. How to add decimals C. Examples
  385.    wt: 1:   11 Place Value SI Standard International way
  386.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  387.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  388.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  389.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  390.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  391.    wt: 1:   016 Numbering Occidental Calendar Days
  392.    wt: 1:   015 School and work day counting tables
  393.    wt: 1:   012 Division of Time Intervals by Time Intervals
  394.    wt: 1:   010 Repeated Addition of Time Intervals
  395.    wt: 1:   8 Addition of Time Intervals via subtotaling
  396.    wt: 1:   7 Addition of Time Intervals
  397.    wt: 1:   2 Time and Date Matters in School
  398.    wt: 1:   Example 2 volume of a cone
  399.    wt: 1:   Example 1 volume of a pyramid
  400.    wt: 1:   Volume of Solid by Cross Sections Lesson
  401.    wt: 1:   Example 1. Area Between x and x squared
  402.    wt: 1:   Example 4 with x function of y
  403.    wt: 1:   A Chain Rule Real Player video examples
  404.    wt: 1:   34 Derivative of exponential function
  405.    wt: 1:   33 Chain Rule Real Player video examples
  406.    wt: 1:   31 Derivatives of inverse functions
  407.    wt: 1:   30Chain Rule A Proof
  408.    wt: 1:   28 Chain Rule Preparation for a Proof
  409.    wt: 1:   25 Chain Rule Animated Examples Continued
  410.    wt: 1:   24 Chain Rule Animated Examples
  411.    wt: 1:   15 sine and cosine derivatives 3rd step
  412.    wt: 1:   14 sine and cosine derivatives 2nd step
  413.    wt: 1:   13 sine and cosine derivatives 1st step
  414.    wt: 1:   12 Quotient rule examples
  415.    wt: 1:   8 Differentiation of polynomials
  416.    wt: 1:   7 Animated Differentiation Examples
  417.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  418.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  419.    wt: 1:   11 Limits at infinity Three Examples
  420.    wt: 1:   9 Limits Continuity and Composition
  421.    wt: 1:   8 Four Animated Examples
  422.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  423.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  424.    wt: 1:   G.3 Constant Difference Theorem Proof
  425.    wt: 1:   E2 Algebraic Properties of Limits
  426.    wt: 1:   D2 Limits of Monotone Sequences
  427.    wt: 1:   PostScript For and Against Decimal Perspectives
  428.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  429.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  430.    wt: 1:   Chapter 22 Complex Numbers
  431.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  432.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  433.    wt: 1:   Chapter 12. Units and Slopes
  434.    wt: 1:   Chapter 10 Slopes and Units
  435.    wt: 1:   Chapter 7 Slopes and Velocity
  436.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  437.    wt: 1:   Chapter 2. Slopes and Ski Trails
  438.    wt: 1:   Appendix E. How To Study Mathematics and Why
  439.    wt: 1:   Appendix D. What to do in School and Why
  440.    wt: 1:   Chapter 31 Direct and Indirect Reason
  441.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  442.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  443.    wt: 1:   Chapter 25. Mathematical Induction Examples
  444.    wt: 1:   Chapter 25. Mathematical Induction Examples
  445.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  446.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  447.    wt: 1:   Chapter 20. Degrees and Radians
  448.    wt: 1:   Chapter 19. Functions and Sets
  449.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  450.    wt: 1:   Chapter 12. Shorthand Usage Guide
  451.    wt: 1:   Chapter 11. Why Shorthand
  452.    wt: 1:   Chapter 10 Describing and Changing Calculations
  453.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  454.    wt: 1:   Chapter 8 Three Skills For Algebra
  455.    wt: 1:   Chapter 6 Change of Language
  456.    wt: 1:   Chapter 4 Longer Chains of Reason
  457.    wt: 1:   Chapter 3 Chains of Reason
  458.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  459.    wt: 1:   Chapter 7 Two Treatments of Geometry
  460.    wt: 1:   Chapter 2 For and Against Mathematics
  461.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  462.    wt: 1:   Postscript B More on Story Telling and Reason
  463.    wt: 1:   Chapter 24 Direct and Indirect Reason
  464.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  465.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  466.    wt: 1:   Chapter 18 Sense and Knowledge
  467.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  468.    wt: 1:   Chapter 8 Change of Language
  469.    wt: 1:   Chapter 7 Longer Chains of Reason
  470.    wt: 1:   Chapter 6 Chains of Reason
  471.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  472.    wt: 1:   R Why Learn Mathematics Skills
  473.    wt: 1:   O On Learning Mathematics and Science
  474.    wt: 1:   L Skills with take home value
  475.    wt: 1:   N Improving Marks on Tests and Finals
  476.    wt: 1:   J. More on written work and showing skill
  477.    wt: 1:   H Jigsaw puzzles and problem solving
  478.    wt: 1:   G. Written work formats for developing and showing skill
  479.    wt: 1:   E. When and how to correct errors
  480.    wt: 1:   C. Domino effect of being careful
  481.    wt: 1:   B. Domino effect of errors
  482.    wt: 1:   Helping the Blind in Logic and Mathematics
  483.    wt: 1:   More Algebra and Slope based Calculus Preview
  484.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  485.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  486.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  487.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  488.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

773 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   5 lengths and signs of numbers
  3.    wt: 9:   6 Simplification of Fractions with Units
  4.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  5.    wt: 9:   3 Multiplying Units and Numbers
  6.    wt: 9:   21 Working With Signs
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   16 Addition Subtraction Comparision Compared
  9.    wt: 9:   13 Fraction Comparison Algebraic View
  10.    wt: 9:   12 Fraction Comparison
  11.    wt: 9:   11 Simplification an Algebraic View
  12.    wt: 9:   8 Numerals Fractionals Quantals Take II
  13.    wt: 9:   7 Numerals Fractionals Quantals
  14.    wt: 9:   6 Multiplication Algebraically Take II
  15.    wt: 9:   4 Fraction Multiplication
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  20.    wt: 8:   4 Greater More Less Than Signs in General
  21.    wt: 8:   3 Properties of Square Roots with example
  22.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  23.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  24.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  25.    wt: 8:   4 LCM of 8 and 10 via Prime
  26.    wt: 8:   11 What are real lengths and numbers
  27.    wt: 8:   2 signed and unsigned numbers as coordinates
  28.    wt: 8:   4 Fractions with Units
  29.    wt: 8:   2 Equality and Units
  30.    wt: 8:   1 Addition and Subtraction with Units
  31.    wt: 8:   8 What skills and work habits to require
  32.    wt: 8:   6. Counting and adding units and mixed units
  33.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  34.    wt: 8:   Quick history of numbers and algebra
  35.    wt: 7:   1 Squares and Square Roots Introduction
  36.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  37.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  38.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  39.    wt: 7:   7 GCD and LCM from prime factorization
  40.    wt: 7:   3 Counting with Tables and Trees II
  41.    wt: 7:   2 Counting with Tables and Trees I
  42.    wt: 7:   1 Counting and Counting Methods I
  43.    wt: 7:   10 dividing signed numbers
  44.    wt: 7:   9 subtracting signed numbers
  45.    wt: 7:   8 multiplying signed numbers
  46.    wt: 7:   7 negative and additive inverse
  47.    wt: 7:   6 adding signed numbers
  48.    wt: 7:   3 signed coordinates for maps and planes
  49.    wt: 7:   7 Converting or Changing Units
  50.    wt: 7:   11 Adding Integers Formulas and Examples
  51.    wt: 7:   6 Multiplication by Natural Numbers
  52.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  53.    wt: 7:   27 Divisibility by 2 3 6 5 9 10 Example
  54.    wt: 7:   26 Divisibility by 2 3 5 Example
  55.    wt: 7:   25 Divisibility Tests for 2 3 5 9 10 Example
  56.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  57.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  58.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  59.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  60.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  61.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  62.    wt: 7:   20 Uniqueness of Prime Factorization
  63.    wt: 7:   17 Identify and Count Factors using Primes
  64.    wt: 7:   16 video Factors of 980 using prime
  65.    wt: 7:   15 video Factors of 20 using Prime Factorization
  66.    wt: 7:   14 video Factors of 24 Take II
  67.    wt: 7:   13 video Factors of 24 using prime
  68.    wt: 7:   12 LCD GCD and LCM using Primes
  69.    wt: 7:   7 Calculator Usage Notes and Cautions
  70.    wt: 7:   5 Prime Factorization and a Square Rule
  71.    wt: 7:   3 video Primes and Composites from 9 times table
  72.    wt: 7:   2 Prime and Composites less than 16
  73.    wt: 7:   Subtraction with J Conversions Example
  74.    wt: 7:   8 Subtraction with Units of Measure
  75.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  76.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  77.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  78.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  79.    wt: 7:   2 Subtraction Easy Case Examples
  80.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  81.    wt: 7:   7 Adding decimal fractions using decimal point
  82.    wt: 7:   5. How to add decimals C. Examples
  83.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  84.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  85.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  86.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  87.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  88.    wt: 7:   Exact Arithmetic Wholes and Fractions
  89.    wt: 6:   5 Square Roots with primes more still
  90.    wt: 6:   4 Square Roots with primes more
  91.    wt: 6:   2 Square Roots with Prime
  92.    wt: 6:   13 GCD from given Prime Factorization
  93.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  94.    wt: 6:   8 GCD from Euclidean Algorithm
  95.    wt: 6:   6 GCD from Prime
  96.    wt: 6:   5 Common Divisors 60 45 via Prime
  97.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  98.    wt: 6:   2 Least Common Multiple LCM intro via list method
  99.    wt: 6:   1 Least Common Multiples LCM Introduction
  100.    wt: 6:   12 GCD 2700 288 via Prime
  101.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  102.    wt: 6:   4 Counting with Trees Product Rule Take I
  103.    wt: 6:   4 signed coordinates for regions in space
  104.    wt: 6:   12 Adding Integers More Examples
  105.    wt: 6:   8 Multiplication by Signed Numbers Integers
  106.    wt: 6:   5 Zero Movement and Additive Inverses
  107.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  108.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  109.    wt: 6:   23 Remainder Arithmetic Modulo 2
  110.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  111.    wt: 6:   21 Remainder Arithmetic Modulo 3
  112.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  113.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  114.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  115.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  116.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  117.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  118.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  119.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  120.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  121.    wt: 6:   5 Remainder Arithmetic Modulo 5
  122.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  123.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  124.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  125.    wt: 6:   1 Remainder Arithmetic Modulo 10
  126.    wt: 6:   19 video Prime Factorization Unique
  127.    wt: 6:   18 video Count Factors given Prime Factorization
  128.    wt: 6:   11 Efficient Square Rule Use
  129.    wt: 6:   10 video Prime Factorization upto 23 squared
  130.    wt: 6:   9 video Prime Factorization upto 19 squared
  131.    wt: 6:   8 video Prime Factorization upto 19
  132.    wt: 6:   4 video Prime Factorization Introduction
  133.    wt: 6:   1 video how Products are bigger than factor
  134.    wt: 6:   Division with Counts and Length
  135.    wt: 6:   Long Division forwards and backwards Example 3
  136.    wt: 6:   Long Division forwards and backwards Example 2
  137.    wt: 6:   Long Division forwards and backwards Example 1
  138.    wt: 6:   10 Division by Five Long and Short Ways
  139.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  140.    wt: 6:   1 Divsion Physical Examples
  141.    wt: 6:   C Counting Areas with Powers of Ten
  142.    wt: 6:   B Powers of Ten
  143.    wt: 6:   6 Multiplication Commutes Order Not Important
  144.    wt: 6:   4 Two and Three Digit Multipliers
  145.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  146.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  147.    wt: 6:   Subtraction Another Video Lesson
  148.    wt: 6:   9 22 Minute Subtraction Review Video
  149.    wt: 6:   5 A Tip for Efficent Subtraction
  150.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  151.    wt: 6:   4. How to add with decimals B with conversions
  152.    wt: 6:   3. How to add with decimals A sans conversions
  153.    wt: 6:   2 Decimal Counting Practices
  154.    wt: 6:   1. Explaining Addition Table
  155.    wt: 6:   11 Place Value SI Standard International way
  156.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  157.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  158.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  159.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  160.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  161.    wt: 5:   arithmetic videos Real Player Format
  162.    wt: 5:   D Remainders Modulo 11 Pair Rule
  163.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  164.    wt: 5:   B Integer Long Division Multiple Choices
  165.    wt: 5:   A Associative Law Theorectical Note
  166.    wt: 5:   13 Subtraction with Additive Inverse
  167.    wt: 5:   10 Integer Multiplication Formulas
  168.    wt: 5:   9 Multiplying Integers
  169.    wt: 5:   7 Multiplication by Signs
  170.    wt: 5:   4 Adding Movements wiht opposite directions
  171.    wt: 5:   3 Adding Movements with same direction
  172.    wt: 5:   1 Integers as Coordinates
  173.    wt: 5:   Long Division Backwards more
  174.    wt: 5:   Long Division Backward
  175.    wt: 5:   12 Why Long Division Works Take III
  176.    wt: 5:   11 Another Single Digit Divisor Example
  177.    wt: 5:   9 Why Long Division Works Take II
  178.    wt: 5:   8 Correcting the Mistake
  179.    wt: 5:   7 Long Divison Mistake Catching
  180.    wt: 5:   5 Long Division Include Zeroes or not
  181.    wt: 5:   4 Division with 2 Digit Divsors
  182.    wt: 5:   3 Division Single Digit Divisor Example
  183.    wt: 5:   2 Division with Single Digit Divisors
  184.    wt: 5:   D Decimal Multiplication Methods Derived
  185.    wt: 5:   A Elementary Basis for Multiplication Methods
  186.    wt: 5:   5 Decimal Fraction Multiplication
  187.    wt: 5:   3 More One Digit Multipliers
  188.    wt: 5:   2 One Digit Multipliers
  189.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Power Notation in Decimal Expansion
  192.    wt: 5:   1 Why 3 times 5 gives 15
  193.    wt: 5:   Formula Evaluation how to show work
  194.    wt: 5:   Expression Evaluation how to show work
  195.    wt: 5:   The 20 Times Table
  196.    wt: 5:   The 12 Times Table Visually
  197.    wt: 5:   About folder contents
  198.    wt: 4:   6 Field Properties of Complex Number
  199.    wt: 4:   8 Division and Mulplication of Compound Fractions
  200.    wt: 4:   2 Combing Counts Addition Skills and Principles
  201.    wt: 4:   1 The Counting Origins of Numbers
  202.    wt: 4:   5 Proportionality in Equivalent Fractions
  203.    wt: 4:   4 Rates Ratios and Proporitionality
  204.    wt: 4:   3 Proportionality Examples
  205.    wt: 4:   6 Three Examples
  206.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  207.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  208.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  209.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  210.    wt: 3:   27 Logarithmic use of products of sines and cosines
  211.    wt: 3:   10 Graphs of sines and cosines many periods
  212.    wt: 3:   20 N th Roots of Complex Numbers
  213.    wt: 3:   5 An Easy Proof of the Distributive Law
  214.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  215.    wt: 3:   3 Trigonometric Ratios sine and cosine
  216.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  217.    wt: 3:   10 Midpoint of [a b] and [b a]
  218.    wt: 3:   6 Intersection of lines by solving linear systems
  219.    wt: 3:   1 Numerical view of lines and their equations
  220.    wt: 3:   6 Polar Multiplication and Rotation
  221.    wt: 3:   6 Ruler and compass Angle Bisection
  222.    wt: 3:   22 Multiplication of Signed Numbers
  223.    wt: 3:   21 Addition of Multiples of a Single Vector
  224.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  225.    wt: 3:   11 Signed Number Addition and Addition Properties
  226.    wt: 3:   B Decimal Comparison and Subtraction
  227.    wt: 3:   7 Decimals Multiplication Methods Examples
  228.    wt: 3:   6 Column Methods for Decimal Multiplication
  229.    wt: 3:   5 Distributive Law for Whole Numbers
  230.    wt: 3:   3 Multiplicative Counting Skills Principles
  231.    wt: 3:   5 Areas of Rectangles Revisited
  232.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  233.    wt: 3:   1 What is Proportionality
  234.    wt: 3:   4 Comparison of Negative Numbers
  235.    wt: 3:   2 More and Less Than for Counts and Measures
  236.    wt: 3:   10 Real Number Lengths and Signs
  237.    wt: 3:   1 Whole and Natural Numbers
  238.    wt: 3:   9 Three Examples
  239.    wt: 3:   7 Two Examples
  240.    wt: 3:   5 Three Examples
  241.    wt: 3:   4 Two Examples
  242.    wt: 3:   3 Two Examples
  243.    wt: 3:   2 Three Examples
  244.    wt: 3:   4 A Brief Story of numbers and algebra
  245.    wt: 3:   011 Division of Time Intervals By Numbers
  246.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  247.    wt: 3:   4 Mixing and Changing Units of Time
  248.    wt: 3:   3 Units and Lengths of Time
  249.    wt: 3:   1 Intro of Kids To Time Date Skills
  250.    wt: 3:   17 Derivatives of quotients of sine and cosine
  251.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  252.    wt: 3:   5 Jumps and absence of unlimited error control
  253.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  254.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  255.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  256.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  257.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  258.    wt: 3:   I. Logic and language skills
  259.    wt: 3:   How to Build Skills and Confidence
  260.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  261.    wt: 2:   Ramblings Extrinsic numbers theory
  262.    wt: 2:   Theory of Knowledge
  263.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  264.    wt: 2:   2 Reading and Writing Skills
  265.    wt: 2:   Ages 12 to 14 Skills with take home value
  266.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  267.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  268.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  269.    wt: 2:   8 Set view of relations and functions
  270.    wt: 2:   9 Summary Degrees to Radians and back
  271.    wt: 2:   8 Radian Measures of Common Angles
  272.    wt: 2:   2 Radian Measure Numerical Value of one degree
  273.    wt: 2:   1 Degrees and Radians Introduction
  274.    wt: 2:   4 Resultant of a Sum of Movements
  275.    wt: 2:   Vector and Complex Number Applet
  276.    wt: 2:   Parallel Lines and Parallel Transversals
  277.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  278.    wt: 2:   Parallel Lines and Interior Angles
  279.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  280.    wt: 2:   Straight Lines Intersection of
  281.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  282.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  283.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  284.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  285.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  286.    wt: 2:   26 Formulas for products of sines and cosines
  287.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  288.    wt: 2:   14 cosine even and sine and tangent are odd
  289.    wt: 2:   13 Graph of tangent function many periods
  290.    wt: 2:   9 Graphs of sine and cosine over one period
  291.    wt: 2:   7 period of sine and cosine
  292.    wt: 2:   21 Logarithms Powers and Exponentials
  293.    wt: 2:   19 N th Roots of Unity
  294.    wt: 2:   18 Sixth Roots of Unity
  295.    wt: 2:   17 Cube Roots of unity
  296.    wt: 2:   16 References and Originality Question
  297.    wt: 2:   14 Law of cosines
  298.    wt: 2:   13 Trig Formulas for dot and cross Products
  299.    wt: 2:   12 cis formulas for sine cosines and tangent
  300.    wt: 2:   11 sine and cosine double triple angle formulas
  301.    wt: 2:   9 The complex number valued trig function cis
  302.    wt: 2:   8 Unit Circle Development of Trigonometry
  303.    wt: 2:   2 Complex Numbers made easier we hope
  304.    wt: 2:   Appetizer A Complex Number Applet
  305.    wt: 2:   7 Trignometric Ratios Unit Circle
  306.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  307.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  308.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  309.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  310.    wt: 2:   8 Similarity of Triangles and Polygons
  311.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  312.    wt: 2:   7 Exercises to test skill and concept mastery
  313.    wt: 2:   5 Algebraic View of Slopes
  314.    wt: 2:   What is and is not here
  315.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  316.    wt: 2:   7 Complex Numbers Appetizer
  317.    wt: 2:   5 Cartesian Addition and Translation
  318.    wt: 2:   4 Polar Coordinates to and from
  319.    wt: 2:   PS H Distributive Law For Complex Numbers
  320.    wt: 2:   17 Right Bisectors of Triangle Sides
  321.    wt: 2:   16 Angles Subtended By Chords and Diameters
  322.    wt: 2:   9 Construction of a right bisector
  323.    wt: 2:   3 Isometry of Triangles Congruence
  324.    wt: 2:   1 Initial Concepts and Terms
  325.    wt: 2:   3 Lengths and Areas on Maps and Plans
  326.    wt: 2:   musings do not puiblish real numbers
  327.    wt: 2:   A Modular and Remainder Arithmetic
  328.    wt: 2:   A Signed Number Arithmetic Review
  329.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  330.    wt: 2:   19 Signed Multiples of Vectors
  331.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  332.    wt: 2:   13 Arrows and Vectors in a Plane
  333.    wt: 2:   12 Real Numbers Line Signed Coordinates
  334.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  335.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  336.    wt: 2:   4 Location of Point in Decimal Addition
  337.    wt: 2:   3 Location of Point in Decimal Multiplication
  338.    wt: 2:   1 Fractions with Finite Decimal Expansions
  339.    wt: 2:   E Long Division Methods more
  340.    wt: 2:   D Long Division Methods
  341.    wt: 2:   C Three Decimal Subtraction Methods
  342.    wt: 2:   A Decimal Addition Columm Methods
  343.    wt: 2:   8 Column Multiplication Methods in General
  344.    wt: 2:   4 Commutative Law Groups Counting Form
  345.    wt: 2:   4 Fraction Operations Axiomatic Development
  346.    wt: 2:   3 Inequalities Algebraically
  347.    wt: 2:   2 Fraction Operations Physical Development
  348.    wt: 2:   2 Algebraic View
  349.    wt: 2:   6 Equations and Systems Equivalent or Implied
  350.    wt: 2:   4 Subtraction and Division Axioms
  351.    wt: 2:   2 Addition and Multiplication Axioms
  352.    wt: 2:   3 More and Less Than with Unlike Signs
  353.    wt: 2:   1 Real Numbers Comparison
  354.    wt: 2:   16 Real Numbers Comparison
  355.    wt: 2:   15 Real Number Division
  356.    wt: 2:   14 Real Number Multiplication
  357.    wt: 2:   13 Real Number Subtraction
  358.    wt: 2:   12 Real Number Additive Inverses or Negatives
  359.    wt: 2:   11 Real Number Addition
  360.    wt: 2:   8 Coordinates for Maps and Planes
  361.    wt: 2:   7 Real Numbers as Line Cordinates
  362.    wt: 2:   6 Unsigned Real Numbers
  363.    wt: 2:   5 Rational Numbers More
  364.    wt: 2:   4 Rational Numbers
  365.    wt: 2:   3 Fractions
  366.    wt: 2:   3 Geometric Formulas and Function Notation
  367.    wt: 2:   1 Formulas Dependence and Function Notation
  368.    wt: 2:   Skill Development Notes
  369.    wt: 2:   10 One Example
  370.    wt: 2:   8 One Example
  371.    wt: 2:   8 Sets of Numbers
  372.    wt: 2:   5 Talking about Numbers and Quantities
  373.    wt: 2:   016 Numbering Occidental Calendar Days
  374.    wt: 2:   015 School and work day counting tables
  375.    wt: 2:   012 Division of Time Intervals by Time Intervals
  376.    wt: 2:   010 Repeated Addition of Time Intervals
  377.    wt: 2:   8 Addition of Time Intervals via subtotaling
  378.    wt: 2:   7 Addition of Time Intervals
  379.    wt: 2:   2 Time and Date Matters in School
  380.    wt: 2:   Example 2 volume of a cone
  381.    wt: 2:   Example 1 volume of a pyramid
  382.    wt: 2:   Volume of Solid by Cross Sections Lesson
  383.    wt: 2:   Example 1. Area Between x and x squared
  384.    wt: 2:   Example 4 with x function of y
  385.    wt: 2:   38 Formulas and derivatives for powers and roots
  386.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  387.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  388.    wt: 2:   11 Limits at infinity Three Examples
  389.    wt: 2:   9 Limits Continuity and Composition
  390.    wt: 2:   8 Four Animated Examples
  391.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  392.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  393.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  394.    wt: 2:   Appendix E. How To Study Mathematics and Why
  395.    wt: 2:   Appendix D. What to do in School and Why
  396.    wt: 2:   Chapter 31 Direct and Indirect Reason
  397.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  398.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  399.    wt: 2:   Chapter 25. Mathematical Induction Examples
  400.    wt: 2:   Chapter 25. Mathematical Induction Examples
  401.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  402.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  403.    wt: 2:   Chapter 20. Degrees and Radians
  404.    wt: 2:   Chapter 19. Functions and Sets
  405.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  406.    wt: 2:   Chapter 12. Shorthand Usage Guide
  407.    wt: 2:   Chapter 11. Why Shorthand
  408.    wt: 2:   Chapter 10 Describing and Changing Calculations
  409.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  410.    wt: 2:   Chapter 8 Three Skills For Algebra
  411.    wt: 2:   Chapter 6 Change of Language
  412.    wt: 2:   Chapter 4 Longer Chains of Reason
  413.    wt: 2:   Chapter 3 Chains of Reason
  414.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  415.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  416.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  417.    wt: 2:   R Why Learn Mathematics Skills
  418.    wt: 2:   O On Learning Mathematics and Science
  419.    wt: 2:   L Skills with take home value
  420.    wt: 2:   N Improving Marks on Tests and Finals
  421.    wt: 2:   J. More on written work and showing skill
  422.    wt: 2:   H Jigsaw puzzles and problem solving
  423.    wt: 2:   G. Written work formats for developing and showing skill
  424.    wt: 2:   E. When and how to correct errors
  425.    wt: 2:   C. Domino effect of being careful
  426.    wt: 2:   B. Domino effect of errors
  427.    wt: 1:   Appendix 1 primary and preschool mathematic
  428.    wt: 1:   G LAMP Introduction Problem Solving Skills
  429.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  430.    wt: 1:   Skills Chapter 5 Calculus
  431.    wt: 1:   Skills Chapter 4 Logic
  432.    wt: 1:   Skills Chapter 3 Algebra
  433.    wt: 1:   Skills Chapter 2 Geometry
  434.    wt: 1:   Skills Chapter 1 Arithmetic
  435.    wt: 1:   Skills Chapter 0 Introduction
  436.    wt: 1:   7 logic review and decimals an odd combination
  437.    wt: 1:   5 logarithms and exponentials etc
  438.    wt: 1:   2 arithmetic with signed numbers
  439.    wt: 1:   1 arithmetic with unsigned numbers
  440.    wt: 1:   key notes and themes
  441.    wt: 1:   Mathematics Education Professors
  442.    wt: 1:   what should be learnt and When
  443.    wt: 1:   standards for course material
  444.    wt: 1:   Education in mathematics science and technology
  445.    wt: 1:   Different Kinds of Reasoning in maths
  446.    wt: 1:   three kinds of reason in mathematics
  447.    wt: 1:   Motivation and Context Problem
  448.    wt: 1:   fairness and inductive principles for instruction
  449.    wt: 1:   E Kirchoffs Second Law
  450.    wt: 1:   D Kirchoff First Law
  451.    wt: 1:   Home Tutoring and Home Schooling
  452.    wt: 1:   24 Standards For Skill Develoment Take II
  453.    wt: 1:   24 Standards For Skill Develoment
  454.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  455.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  456.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  457.    wt: 1:   17 Math Booklets for children and young teenagers
  458.    wt: 1:   14 Multiplication and Times Tables
  459.    wt: 1:   13 Addition and Addition Tables
  460.    wt: 1:   12 Goals and Objectives For Mathematics
  461.    wt: 1:   11 Help and Defend Your Child or Teens Education
  462.    wt: 1:   8 The Effect of Negative Remarks
  463.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  464.    wt: 1:   5 Patience Please for Yourself and Your Charges
  465.    wt: 1:   4 Learning Takes Time and Effort
  466.    wt: 1:   1 Speaking Skills
  467.    wt: 1:   Ages 12 to 14 Geometry
  468.    wt: 1:   Ages 12 to 14 Arithmetic
  469.    wt: 1:   Ages 10 to 12 Geometry
  470.    wt: 1:   Ages 10 to 12 Arithmetic
  471.    wt: 1:   Ages 9 to 10
  472.    wt: 1:   Ages 8 to 9
  473.    wt: 1:   Ages 7 to 8
  474.    wt: 1:   Ages 6 to 7
  475.    wt: 1:   Ages 4 plus to 5 plus
  476.    wt: 1:   Ages 3 plus to 4 plus
  477.    wt: 1:   sign monoticity analysis example 4
  478.    wt: 1:   sign monoticity analysis example 3
  479.    wt: 1:   sign monoticity analysis example 2
  480.    wt: 1:   sign monoticity analysis example 1
  481.    wt: 1:   26 Function definitions done and coming
  482.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  483.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  484.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  485.    wt: 1:   19 Horizontal line rule and method
  486.    wt: 1:   18 Vertical Line Rule and Method
  487.    wt: 1:   17 Function maxima minima and their location
  488.    wt: 1:   15 Sign analysis of functions
  489.    wt: 1:   13 From one to one to many to one
  490.    wt: 1:   11 Function Domain Range Source and Targets
  491.    wt: 1:   9 Set theory term relation possible origins
  492.    wt: 1:   6 Set Existence Formation and Notation
  493.    wt: 1:   4 Function notation in and beyond mathematics
  494.    wt: 1:   2 Algebraic use of function notation
  495.    wt: 1:   1 Geometric Introduction of Function Notation
  496.    wt: 1:   9 quadratics physical and further context
  497.    wt: 1:   8 quadratics backward use of various formulas
  498.    wt: 1:   4 quadratics difference of two squares
  499.    wt: 1:   11 Growth and Decay in Biology
  500.    wt: 1:   10 Exponential Growth and Decay Models
  501.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  502.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  503.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  504.    wt: 1:   16 cotangent function Definition Graph and Inverse
  505.    wt: 1:   15 cosecant function Definition Graph and Inverse
  506.    wt: 1:   14 secant function Definition Graph and Inverse
  507.    wt: 1:   13 cosecant function Definition Graph and Inverse
  508.    wt: 1:   11 arctan left inverse of tangent Graph
  509.    wt: 1:   10 arctan left inverse of tangent Definition
  510.    wt: 1:   8 arcsin left inverse of sine Graph
  511.    wt: 1:   7 arcsin left inverse of sine Definition
  512.    wt: 1:   6 Graph of arccos function
  513.    wt: 1:   3 Left Inverse of cosine arccos definition
  514.    wt: 1:   7 Radian Measures in special Triangles
  515.    wt: 1:   6 Radian Measure to Degrees
  516.    wt: 1:   5 Degrees to Radian Measure
  517.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  518.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  519.    wt: 1:   A Global Time and Navigation
  520.    wt: 1:   15 Dot and Cross Product
  521.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  522.    wt: 1:   4 graphing y=Asin(x c)
  523.    wt: 1:   3 graphing y=f(x c) plus K
  524.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  525.    wt: 1:   1 graphing y=f(x a)
  526.    wt: 1:   Triangle Angles Sum To 180 Degrees
  527.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  528.    wt: 1:   Straight Lines ASA Intersection Study More
  529.    wt: 1:   Straight Lines ASA Intersection Study
  530.    wt: 1:   Straight Lines Instersection Solving Equations
  531.    wt: 1:   C Straight Lines Slope from Coordinates
  532.    wt: 1:   B Straight Line Slope Scaling Properties More
  533.    wt: 1:   A Straight Line Slope Scaling Properties
  534.    wt: 1:   14 Straight Lines Equations General Case
  535.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  536.    wt: 1:   12 Straight Lines Graphing mx plus b
  537.    wt: 1:   11 Straight Lines Graphing y=mx
  538.    wt: 1:   10 Straight Lines through Origin Equations More
  539.    wt: 1:   9 Straight Lines through Origin Equations
  540.    wt: 1:   8 Straight Lines Equation for vertical
  541.    wt: 1:   7 Tangent Function is odd on this domain
  542.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  543.    wt: 1:   5 Tangent Function Graph
  544.    wt: 1:   4 Tangent Function Properties
  545.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  546.    wt: 1:   1 Straight Lines Slope Concept
  547.    wt: 1:   32 seven rows of pascals triangle
  548.    wt: 1:   30 unit circle calculation of six trigonometric functions
  549.    wt: 1:   29 secant cosecant and cotangent for acute angles
  550.    wt: 1:   28 Expressing products of sines cosines as sums
  551.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  552.    wt: 1:   21 sine and cosine Half Angle Formulas
  553.    wt: 1:   20 sine and cosine Double Angle Formulas
  554.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  555.    wt: 1:   18 sum of sinusoidal waves as a single wave
  556.    wt: 1:   17F Law of cosines
  557.    wt: 1:   17E Trig Formulas for dot and cross Products
  558.    wt: 1:   17D cis formulas for sine cosines and tangent
  559.    wt: 1:   17C sine and cosine double triple angle formulas
  560.    wt: 1:   17A The complex number valued trig function cis
  561.    wt: 1:   12 Graph of tangent function for one period
  562.    wt: 1:   8 period of tangent function
  563.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  564.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  565.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  566.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  567.    wt: 1:   Unit Circle Development of Trigonometry
  568.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  569.    wt: 1:   15 Pythagorean Theorem Converse
  570.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  571.    wt: 1:   7 Second Way to Calculate Products
  572.    wt: 1:   4 Multiplication Properties
  573.    wt: 1:   3 Addition Properties
  574.    wt: 1:   1 Rectangular Polar Coordinates Review
  575.    wt: 1:   8 Triangles Cascade Problem Solving
  576.    wt: 1:   1 Angle Measurement with Degrees
  577.    wt: 1:   Why Trigonometry the whyslopes view
  578.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  579.    wt: 1:   9 Similarity of Triangles Usual Criteria
  580.    wt: 1:   1 Early Concept of Like or Similar Shapes
  581.    wt: 1:   Four Simple Exercises
  582.    wt: 1:   12 Links Lessons elsewhere
  583.    wt: 1:   11 A Partial Summary
  584.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  585.    wt: 1:   8 Mid Point Formula
  586.    wt: 1:   4 Equations for lines three forms
  587.    wt: 1:   3 Slope product for perpendicular lines
  588.    wt: 1:   2 point slope equation for a line
  589.    wt: 1:   13 Pythagorean spatial distance formulas
  590.    wt: 1:   12 Spatial Coordinates
  591.    wt: 1:   11 Triangle Inequality
  592.    wt: 1:   10 Pythagorean plane distance formula
  593.    wt: 1:   8 Distance Between Points on a Line
  594.    wt: 1:   3 Rectangular Coordinates Review
  595.    wt: 1:   2 Cartesian Coordinates with signs
  596.    wt: 1:   1 Cartesian Coordinates sans signs
  597.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  598.    wt: 1:   PS G Rotation Distributes over Addition
  599.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  600.    wt: 1:   PS E Multiplication with Polar Coordinates
  601.    wt: 1:   PS D Addition with Cartesian Coordinates
  602.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  603.    wt: 1:   PS B Parallelogram Construction Methods
  604.    wt: 1:   PS A Kite Construction Methods
  605.    wt: 1:   21 Parallelograms
  606.    wt: 1:   19 Right Triangle Similarity
  607.    wt: 1:   18 Triangle Similarity Take 1
  608.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  609.    wt: 1:   14 Parallel Lines Postulate
  610.    wt: 1:   13 Angle Side Angle Failure
  611.    wt: 1:   12 Side Angle Side Failure
  612.    wt: 1:   11 Triangle Construction Fails
  613.    wt: 1:   10 Dropping a perpendicular to line
  614.    wt: 1:   8 Isoceles Triangles
  615.    wt: 1:   7 Angle Side Angle
  616.    wt: 1:   5 Side Angle Side
  617.    wt: 1:   4 Side Side Side
  618.    wt: 1:   2 Correspondence between Triangles
  619.    wt: 1:   Short Course on Euclidean Geometry
  620.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  621.    wt: 1:   26 More Less Greater Than Comparison
  622.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  623.    wt: 1:   23 Distributive Law Two Derivations
  624.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  625.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  626.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  627.    wt: 1:   15 Head to Tails in place Addition Associative
  628.    wt: 1:   9 Division with Digits after Decimal Point
  629.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  630.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  631.    wt: 1:   2 Counting Digits in Decimal Multiplication
  632.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  633.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  634.    wt: 1:   6 Compound Interest Forward and Backwards
  635.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  636.    wt: 1:   5 Equality in Algebra
  637.    wt: 1:   3 Product Axioms Two Forms
  638.    wt: 1:   1 Equivalent Computation Rules
  639.    wt: 1:   5 Greater More Less Than Signs in General
  640.    wt: 1:   9 Coordinates for Regions in Space
  641.    wt: 1:   2 Integers
  642.    wt: 1:   5 Independent versus Dependent Variables
  643.    wt: 1:   4 Changing Letters
  644.    wt: 1:   2 Computation Rules Evaluation
  645.    wt: 1:   4 GE III Animated Examples
  646.    wt: 1:   3 GE III Equation Addition and Multiplication
  647.    wt: 1:   1 GE Substitution four examples
  648.    wt: 1:   6 Algebraic Solution Example
  649.    wt: 1:   4 Four Examples Fractional Coefficients
  650.    wt: 1:   3 Four Examples
  651.    wt: 1:   2 Three Examples
  652.    wt: 1:   11 Volume of Sphere
  653.    wt: 1:   10 Volume of Pyramid
  654.    wt: 1:   9 Volume of Cone
  655.    wt: 1:   1 Written work formats for developing and showing skill
  656.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  657.    wt: 1:   9 Sets in Probability and Statistics
  658.    wt: 1:   6 Three Notions of What is a Variable
  659.    wt: 1:   1 Three Skills For Algebra
  660.    wt: 1:   014 Counting Days with Calendars
  661.    wt: 1:   013 Travel Time Tables
  662.    wt: 1:   6 How long is a million seconds
  663.    wt: 1:   5 Conversion Arithmetic
  664.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  665.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  666.    wt: 1:   Example 3
  667.    wt: 1:   Example 2
  668.    wt: 1:   Example 1
  669.    wt: 1:   Area Between Curves Lesson Take 2
  670.    wt: 1:   Area Between Curves Lesson Take 1
  671.    wt: 1:   Summary
  672.    wt: 1:   A Chain Rule Real Player video examples
  673.    wt: 1:   34 Derivative of exponential function
  674.    wt: 1:   33 Chain Rule Real Player video examples
  675.    wt: 1:   31 Derivatives of inverse functions
  676.    wt: 1:   30Chain Rule A Proof
  677.    wt: 1:   28 Chain Rule Preparation for a Proof
  678.    wt: 1:   25 Chain Rule Animated Examples Continued
  679.    wt: 1:   24 Chain Rule Animated Examples
  680.    wt: 1:   15 sine and cosine derivatives 3rd step
  681.    wt: 1:   14 sine and cosine derivatives 2nd step
  682.    wt: 1:   13 sine and cosine derivatives 1st step
  683.    wt: 1:   12 Quotient rule examples
  684.    wt: 1:   8 Differentiation of polynomials
  685.    wt: 1:   7 Animated Differentiation Examples
  686.    wt: 1:   10 Three one sided limits with infinite values
  687.    wt: 1:   7 Evaluation by immediate or delayed substitution
  688.    wt: 1:   6 Continuity at a point
  689.    wt: 1:   4 Numerical properties
  690.    wt: 1:   3 Decimal insights for limits continuity convergence
  691.    wt: 1:   2 Algebraic codification
  692.    wt: 1:   1 Numerical introduction
  693.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  694.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  695.    wt: 1:   G.3 Constant Difference Theorem Proof
  696.    wt: 1:   E2 Algebraic Properties of Limits
  697.    wt: 1:   D2 Limits of Monotone Sequences
  698.    wt: 1:   PostScript For and Against Decimal Perspectives
  699.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  700.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  701.    wt: 1:   Chapter 22 Complex Numbers
  702.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  703.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  704.    wt: 1:   Chapter 12. Units and Slopes
  705.    wt: 1:   Chapter 10 Slopes and Units
  706.    wt: 1:   Chapter 7 Slopes and Velocity
  707.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  708.    wt: 1:   Chapter 2. Slopes and Ski Trails
  709.    wt: 1:   Postscript More on Better Performance
  710.    wt: 1:   Postscript For Better Performance
  711.    wt: 1:   Appendix C. How to Read
  712.    wt: 1:   Appendix B. How To Learn
  713.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  714.    wt: 1:   Chapter 30 Truth Tables
  715.    wt: 1:   Chapter 28 Occurrence Tables
  716.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  717.    wt: 1:   Chapter 23. Notation For Sums
  718.    wt: 1:   Chapter 21. Third Reading Guide
  719.    wt: 1:   Chapter 18. Rules for Algebra
  720.    wt: 1:   Chapter 16. Painless Theorem Proving
  721.    wt: 1:   Chapter 15. Solving Linear Equations
  722.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  723.    wt: 1:   Chapter 13. Second Reading Guide
  724.    wt: 1:   Postscript What is a Variable
  725.    wt: 1:   Solutions For Arithmetic Exercises
  726.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  727.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  728.    wt: 1:   Foreword
  729.    wt: 1:   Chapter 7 Two Treatments of Geometry
  730.    wt: 1:   Chapter 2 For and Against Mathematics
  731.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  732.    wt: 1:   Postscript B More on Story Telling and Reason
  733.    wt: 1:   Chapter 24 Direct and Indirect Reason
  734.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  735.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  736.    wt: 1:   Chapter 18 Sense and Knowledge
  737.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  738.    wt: 1:   Chapter 8 Change of Language
  739.    wt: 1:   Chapter 7 Longer Chains of Reason
  740.    wt: 1:   Chapter 6 Chains of Reason
  741.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  742.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  743.    wt: 1:   S Adding words to algebra
  744.    wt: 1:   N Mathematics Prepare for College Studies
  745.    wt: 1:   M Words to extend arithmetic
  746.    wt: 1:   H more Routine to non routine problem solving
  747.    wt: 1:   F. The student teacher tutor feedback loop
  748.    wt: 1:   D. Check work a must with a caution
  749.    wt: 1:   A. Skill has to be seen to believed
  750.    wt: 1:   Helping the Blind in Logic and Mathematics
  751.    wt: 1:   More Algebra and Slope based Calculus Preview
  752.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  753.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  754.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  755.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  756.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  757.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  758.    wt: 12:   B Fractions and Two Term Ratios
  759.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  760.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  761.    wt: 12:   9 Improper Fractions and Mixed Numbers
  762.    wt: 11:   21 Reciprocals for Fractions and Wholes
  763.    wt: 10:   3 Comparison of Negative Numbers
  764.    wt: 10:   1 More and Less Than for Counts and Measures
  765.    wt: 10:   D Three Term Ratios
  766.    wt: 10:   22 Complex Compound Fractions
  767.    wt: 10:   20 Dividing Fractions the Why
  768.    wt: 10:   19 Dividing Fractions How TO
  769.    wt: 10:   17 Efficient Ways to Add and Subtract
  770.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  771.    wt: 10:   14 Adding and Subtracting with Like Denominators
  772.    wt: 10:   5 Equivalent Fractions
  773.    wt: 10:   3 Unit fraction of a fraction

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Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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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2 Formula Forward Use - Evaluation
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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
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

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2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
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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

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Five Polynomial Operations
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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

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Logic-Reason for all
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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
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3. Computation Rules
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5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
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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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