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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47 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: 7:   4 Remainder Arithmetic and Divisibility/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   9 Combinatorics Trees Tables and Products/
  8.    wt: 6:   8 Arithmetic with Signed Numbers/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   D Decimal Long Division Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  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:   6 More Less Greater Than Inequalities and Comparison/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 1:   Volume 1A Regles et modeles/
  21.    wt: 1:   francais/
  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:   5 What is Similarity/
  32.    wt: 1:   4 Lines and Slopes Take 1/
  33.    wt: 1:   3 Cartesian and Polar Coordinates/
  34.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  35.    wt: 1:   B Real Numbers Extrinsic Development/
  36.    wt: 1:   A Origins of Counting and Figuring Methods/
  37.    wt: 1:   9 Proportionality Backwards and Forwards/
  38.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  39.    wt: 1:   5 Real Numbers/
  40.    wt: 1:   4 Computation Rules and Function Notation/
  41.    wt: 1:   Time Date Matters/
  42.    wt: 1:   Skills with take home value/
  43.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  44.    wt: 1:   13 Lessons on Limits and Continuity/
  45.    wt: 1:   Volume 2 Three Skills For Algebra/
  46.    wt: 1:   Work and Study Tips/
  47.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

469 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  3.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  4.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 3:   What is and is not here
  6.    wt: 3:   8 Division and Mulplication of Compound Fractions
  7.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  8.    wt: 3:   B Fractions and Two Term Ratios
  9.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  10.    wt: 3:   9 Improper Fractions and Mixed Numbers
  11.    wt: 3:   Quick history of numbers and algebra
  12.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  13.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  14.    wt: 2:   Ramblings Extrinsic numbers theory
  15.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  16.    wt: 2:   2 Reading and Writing Skills
  17.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  18.    wt: 2:   6 Set Existence Formation and Notation
  19.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  20.    wt: 2:   4 Polynomials Long division linear divisor
  21.    wt: 2:   Vector and Complex Number Applet
  22.    wt: 2:   7 Tangent Function is odd on this domain
  23.    wt: 2:   17D cis formulas for sine cosines and tangent
  24.    wt: 2:   17A The complex number valued trig function cis
  25.    wt: 2:   14 cosine even and sine and tangent are odd
  26.    wt: 2:   12 cis formulas for sine cosines and tangent
  27.    wt: 2:   9 The complex number valued trig function cis
  28.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  29.    wt: 2:   3 Trigonometric Ratios sine and cosine
  30.    wt: 2:   7 Exercises to test skill and concept mastery
  31.    wt: 2:   PS H Distributive Law For Complex Numbers
  32.    wt: 2:   6 Ruler and compass Angle Bisection
  33.    wt: 2:   3 Lengths and Areas on Maps and Plans
  34.    wt: 2:   musings do not puiblish real numbers
  35.    wt: 2:   11 Signed Number Addition and Addition Properties
  36.    wt: 2:   B Decimal Comparison and Subtraction
  37.    wt: 2:   5 Distributive Law for Whole Numbers
  38.    wt: 2:   2 Combing Counts Addition Skills and Principles
  39.    wt: 2:   4 Rates Ratios and Proporitionality
  40.    wt: 2:   4 Subtraction and Division Axioms
  41.    wt: 2:   4 Comparison of Negative Numbers
  42.    wt: 2:   2 More and Less Than for Counts and Measures
  43.    wt: 2:   1 Real Numbers Comparison
  44.    wt: 2:   16 Real Numbers Comparison
  45.    wt: 2:   15 Real Number Division
  46.    wt: 2:   10 Real Number Lengths and Signs
  47.    wt: 2:   1 Whole and Natural Numbers
  48.    wt: 2:   9 Sets in Probability and Statistics
  49.    wt: 2:   5 Talking about Numbers and Quantities
  50.    wt: 2:   4 A Brief Story of numbers and algebra
  51.    wt: 2:   3 Comparison of Negative Numbers
  52.    wt: 2:   1 More and Less Than for Counts and Measures
  53.    wt: 2:   11 What are real lengths and numbers
  54.    wt: 2:   5 lengths and signs of numbers
  55.    wt: 2:   2 signed and unsigned numbers as coordinates
  56.    wt: 2:   3 Multiplying Units and Numbers
  57.    wt: 2:   21 Reciprocals for Fractions and Wholes
  58.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  59.    wt: 2:   Division with Counts and Length
  60.    wt: 2:   Long Division forwards and backwards Example 3
  61.    wt: 2:   Long Division forwards and backwards Example 2
  62.    wt: 2:   Long Division forwards and backwards Example 1
  63.    wt: 2:   10 Division by Five Long and Short Ways
  64.    wt: 2:   7 Long Divison Mistake Catching
  65.    wt: 2:   3 Division Single Digit Divisor Example
  66.    wt: 2:   2 Division with Single Digit Divisors
  67.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  68.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  69.    wt: 2:   8 What skills and work habits to require
  70.    wt: 2:   6. Counting and adding units and mixed units
  71.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  72.    wt: 2:   Exact Arithmetic Wholes and Fractions
  73.    wt: 2:   011 Division of Time Intervals By Numbers
  74.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  75.    wt: 2:   38 Formulas and derivatives for powers and roots
  76.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  77.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  78.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  79.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  80.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  81.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  82.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  83.    wt: 2:   I. Logic and language skills
  84.    wt: 2:   How to Build Skills and Confidence
  85.    wt: 1:   Appendix 1 primary and preschool mathematic
  86.    wt: 1:   G LAMP Introduction Problem Solving Skills
  87.    wt: 1:   F LAMP Introduction Prerequisites
  88.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  89.    wt: 1:   Skills Chapter 5 Calculus
  90.    wt: 1:   Skills Chapter 4 Logic
  91.    wt: 1:   Skills Chapter 3 Algebra
  92.    wt: 1:   Skills Chapter 2 Geometry
  93.    wt: 1:   Skills Chapter 1 Arithmetic
  94.    wt: 1:   Skills Chapter 0 Introduction
  95.    wt: 1:   10 statistics
  96.    wt: 1:   7 logic review and decimals an odd combination
  97.    wt: 1:   5 logarithms and exponentials etc
  98.    wt: 1:   2 arithmetic with signed numbers
  99.    wt: 1:   1 arithmetic with unsigned numbers
  100.    wt: 1:   What is POMME
  101.    wt: 1:   permissions for teachers
  102.    wt: 1:   key notes and themes
  103.    wt: 1:   what should be learnt and When
  104.    wt: 1:   Education Reform Inconsistencies
  105.    wt: 1:   standards for course material
  106.    wt: 1:   Theory of Knowledge
  107.    wt: 1:   Education in mathematics science and technology
  108.    wt: 1:   Motivation and Context Problem
  109.    wt: 1:   fairness and inductive principles for instruction
  110.    wt: 1:   chapitre 12 00 les iles et division
  111.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  112.    wt: 1:   chapitre 06 00 Chaines de la raison
  113.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  114.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  115.    wt: 1:   Trois Notions qui menent a algebre
  116.    wt: 1:   2 Conductance Resistance Duality02
  117.    wt: 1:   1 Conductance Resistance Duality01
  118.    wt: 1:   F Wire Resistance Calculation04
  119.    wt: 1:   E Wire Resistance Calculation03
  120.    wt: 1:   D Wire Resistance Calculation02
  121.    wt: 1:   C Wire Resistance Calculation01
  122.    wt: 1:   B Wire Resistance Qualitative02
  123.    wt: 1:   A Wire Resistance Qualitative01
  124.    wt: 1:   3 Like resistors in parallel
  125.    wt: 1:   2 Unlike resistors in parallel01
  126.    wt: 1:   1 Like resistors in series
  127.    wt: 1:   F Unlike Resistors in Series
  128.    wt: 1:   Home Tutoring and Home Schooling
  129.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  130.    wt: 1:   24 Standards For Skill Develoment Take II
  131.    wt: 1:   24 Standards For Skill Develoment
  132.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  133.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  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:   5 Patience Please for Yourself and Your Charges
  140.    wt: 1:   4 Learning Takes Time and Effort
  141.    wt: 1:   1 Speaking Skills
  142.    wt: 1:   Ages 12 to 14 Skills with take home value
  143.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  144.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  145.    wt: 1:   sign monoticity analysis example 4
  146.    wt: 1:   sign monoticity analysis example 3
  147.    wt: 1:   sign monoticity analysis example 2
  148.    wt: 1:   sign monoticity analysis example 1
  149.    wt: 1:   26 Function definitions done and coming
  150.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  151.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  152.    wt: 1:   19 Horizontal line rule and method
  153.    wt: 1:   18 Vertical Line Rule and Method
  154.    wt: 1:   17 Function maxima minima and their location
  155.    wt: 1:   15 Sign analysis of functions
  156.    wt: 1:   12 Function Domain Recognition Exercises
  157.    wt: 1:   11 Function Domain Range Source and Targets
  158.    wt: 1:   9 Set theory term relation possible origins
  159.    wt: 1:   8 Set view of relations and functions
  160.    wt: 1:   4 Function notation in and beyond mathematics
  161.    wt: 1:   3 Formula or function graphing exercise
  162.    wt: 1:   10 quadratic exercises
  163.    wt: 1:   9 quadratics physical and further context
  164.    wt: 1:   1 quadratics graphing exercises
  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:   5 Natural Logarithm Calculator Exercises
  169.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  170.    wt: 1:   1 Calculator Starter Exercises
  171.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  172.    wt: 1:   1 Polynomials Distributive Law
  173.    wt: 1:   16 cotangent function Definition Graph and Inverse
  174.    wt: 1:   15 cosecant function Definition Graph and Inverse
  175.    wt: 1:   14 secant function Definition Graph and Inverse
  176.    wt: 1:   13 cosecant function Definition Graph and Inverse
  177.    wt: 1:   5 Swapping Coordinates is a reflection
  178.    wt: 1:   9 Summary Degrees to Radians and back
  179.    wt: 1:   1 Degrees and Radians Introduction
  180.    wt: 1:   A Global Time and Navigation
  181.    wt: 1:   15 Dot and Cross Product
  182.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  183.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  184.    wt: 1:   Parallel Lines and Parallel Transversals
  185.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  186.    wt: 1:   Parallel Lines and Interior Angles
  187.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  188.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  189.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  190.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  191.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  192.    wt: 1:   29 secant cosecant and cotangent for acute angles
  193.    wt: 1:   27 Logarithmic use of products of sines and cosines
  194.    wt: 1:   26 Formulas for products of sines and cosines
  195.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  196.    wt: 1:   21 sine and cosine Half Angle Formulas
  197.    wt: 1:   20 sine and cosine Double Angle Formulas
  198.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  199.    wt: 1:   17E Trig Formulas for dot and cross Products
  200.    wt: 1:   17C sine and cosine double triple angle formulas
  201.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  202.    wt: 1:   10 Graphs of sines and cosines many periods
  203.    wt: 1:   9 Graphs of sine and cosine over one period
  204.    wt: 1:   7 period of sine and cosine
  205.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  206.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  207.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  208.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  209.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  210.    wt: 1:   21 Logarithms Powers and Exponentials
  211.    wt: 1:   20 N th Roots of Complex Numbers
  212.    wt: 1:   16 References and Originality Question
  213.    wt: 1:   13 Trig Formulas for dot and cross Products
  214.    wt: 1:   11 sine and cosine double triple angle formulas
  215.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  216.    wt: 1:   6 Field Properties of Complex Number
  217.    wt: 1:   5 An Easy Proof of the Distributive Law
  218.    wt: 1:   2 Complex Numbers made easier we hope
  219.    wt: 1:   Appetizer A Complex Number Applet
  220.    wt: 1:   7 Trignometric Ratios Unit Circle
  221.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  222.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  223.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  224.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  225.    wt: 1:   11 Triangle Similarity Missing Side Problem
  226.    wt: 1:   8 Similarity of Triangles and Polygons
  227.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  228.    wt: 1:   Four Simple Exercises
  229.    wt: 1:   10 Midpoint of [a b] and [b a]
  230.    wt: 1:   1 Numerical view of lines and their equations
  231.    wt: 1:   13 Pythagorean spatial distance formulas
  232.    wt: 1:   10 Pythagorean plane distance formula
  233.    wt: 1:   8 Distance Between Points on a Line
  234.    wt: 1:   7 Complex Numbers Appetizer
  235.    wt: 1:   6 Polar Multiplication and Rotation
  236.    wt: 1:   5 Cartesian Addition and Translation
  237.    wt: 1:   4 Polar Coordinates to and from
  238.    wt: 1:   PS G Rotation Distributes over Addition
  239.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  240.    wt: 1:   17 Right Bisectors of Triangle Sides
  241.    wt: 1:   16 Angles Subtended By Chords and Diameters
  242.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  243.    wt: 1:   9 Construction of a right bisector
  244.    wt: 1:   8 Isoceles Triangles
  245.    wt: 1:   3 Isometry of Triangles Congruence
  246.    wt: 1:   1 Initial Concepts and Terms
  247.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  248.    wt: 1:   A Modular and Remainder Arithmetic
  249.    wt: 1:   A Signed Number Arithmetic Review
  250.    wt: 1:   26 More Less Greater Than Comparison
  251.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  252.    wt: 1:   23 Distributive Law Two Derivations
  253.    wt: 1:   22 Multiplication of Signed Numbers
  254.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  255.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  256.    wt: 1:   13 Arrows and Vectors in a Plane
  257.    wt: 1:   12 Real Numbers Line Signed Coordinates
  258.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  259.    wt: 1:   9 Division with Digits after Decimal Point
  260.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  261.    wt: 1:   1 Fractions with Finite Decimal Expansions
  262.    wt: 1:   E Long Division Methods more
  263.    wt: 1:   D Long Division Methods
  264.    wt: 1:   3 Multiplicative Counting Skills Principles
  265.    wt: 1:   1 The Counting Origins of Numbers
  266.    wt: 1:   5 Areas of Rectangles Revisited
  267.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  268.    wt: 1:   5 Proportionality in Equivalent Fractions
  269.    wt: 1:   1 What is Proportionality
  270.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  271.    wt: 1:   6 Compound Interest Forward and Backwards
  272.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  273.    wt: 1:   6 Equations and Systems Equivalent or Implied
  274.    wt: 1:   2 Addition and Multiplication Axioms
  275.    wt: 1:   3 More and Less Than with Unlike Signs
  276.    wt: 1:   14 Real Number Multiplication
  277.    wt: 1:   13 Real Number Subtraction
  278.    wt: 1:   12 Real Number Additive Inverses or Negatives
  279.    wt: 1:   11 Real Number Addition
  280.    wt: 1:   8 Coordinates for Maps and Planes
  281.    wt: 1:   7 Real Numbers as Line Cordinates
  282.    wt: 1:   6 Unsigned Real Numbers
  283.    wt: 1:   5 Rational Numbers More
  284.    wt: 1:   4 Rational Numbers
  285.    wt: 1:   3 Fractions
  286.    wt: 1:   3 Geometric Formulas and Function Notation
  287.    wt: 1:   1 Formulas Dependence and Function Notation
  288.    wt: 1:   More Exercises
  289.    wt: 1:   Simple Exercises
  290.    wt: 1:   3 GE III Equation Addition and Multiplication
  291.    wt: 1:   2 GE II Comparison
  292.    wt: 1:   4 Solving a triangular system exercise
  293.    wt: 1:   2 Essentially one exercises three with solution
  294.    wt: 1:   1 Written work formats for developing and showing skill
  295.    wt: 1:   8 Sets of Numbers
  296.    wt: 1:   6 Three Notions of What is a Variable
  297.    wt: 1:   2 What is a Variable
  298.    wt: 1:   1 Three Skills For Algebra
  299.    wt: 1:   2 More and Less Than with Unlike Signs
  300.    wt: 1:   1 Squares and Square Roots Introduction
  301.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  302.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  303.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  304.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  305.    wt: 1:   7 GCD and LCM from prime factorization
  306.    wt: 1:   5 Common Divisors 60 45 via Prime
  307.    wt: 1:   4 LCM of 8 and 10 via Prime
  308.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  309.    wt: 1:   2 Least Common Multiple LCM intro via list method
  310.    wt: 1:   3 Counting with Tables and Trees II
  311.    wt: 1:   2 Counting with Tables and Trees I
  312.    wt: 1:   1 Counting and Counting Methods I
  313.    wt: 1:   10 dividing signed numbers
  314.    wt: 1:   9 subtracting signed numbers
  315.    wt: 1:   8 multiplying signed numbers
  316.    wt: 1:   7 negative and additive inverse
  317.    wt: 1:   6 adding signed numbers
  318.    wt: 1:   3 signed coordinates for maps and planes
  319.    wt: 1:   6 Simplification of Fractions with Units
  320.    wt: 1:   4 Fractions with Units
  321.    wt: 1:   2 Equality and Units
  322.    wt: 1:   1 Addition and Subtraction with Units
  323.    wt: 1:   D Three Term Ratios
  324.    wt: 1:   22 Complex Compound Fractions
  325.    wt: 1:   20 Dividing Fractions the Why
  326.    wt: 1:   19 Dividing Fractions How TO
  327.    wt: 1:   17 Efficient Ways to Add and Subtract
  328.    wt: 1:   16 Addition Subtraction Comparision Compared
  329.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  330.    wt: 1:   14 Adding and Subtracting with Like Denominators
  331.    wt: 1:   13 Fraction Comparison Algebraic View
  332.    wt: 1:   12 Fraction Comparison
  333.    wt: 1:   5 Equivalent Fractions
  334.    wt: 1:   1 What is a fraction Take II
  335.    wt: 1:   1 What is a fraction
  336.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  337.    wt: 1:   B Integer Long Division Multiple Choices
  338.    wt: 1:   11 Adding Integers Formulas and Examples
  339.    wt: 1:   8 Multiplication by Signed Numbers Integers
  340.    wt: 1:   6 Multiplication by Natural Numbers
  341.    wt: 1:   5 Zero Movement and Additive Inverses
  342.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  343.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  344.    wt: 1:   26 Divisibility by 2 3 5 Example
  345.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  346.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  347.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  348.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  349.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  350.    wt: 1:   17 Identify and Count Factors using Primes
  351.    wt: 1:   12 LCD GCD and LCM using Primes
  352.    wt: 1:   7 Calculator Usage Notes and Cautions
  353.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  354.    wt: 1:   5 Prime Factorization and a Square Rule
  355.    wt: 1:   3 video Primes and Composites from 9 times table
  356.    wt: 1:   2 Prime and Composites less than 16
  357.    wt: 1:   Long Division Backwards more
  358.    wt: 1:   Long Division Backward
  359.    wt: 1:   12 Why Long Division Works Take III
  360.    wt: 1:   11 Another Single Digit Divisor Example
  361.    wt: 1:   9 Why Long Division Works Take II
  362.    wt: 1:   8 Correcting the Mistake
  363.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  364.    wt: 1:   5 Long Division Include Zeroes or not
  365.    wt: 1:   4 Division with 2 Digit Divsors
  366.    wt: 1:   A Elementary Basis for Multiplication Methods
  367.    wt: 1:   4 Two and Three Digit Multipliers
  368.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  369.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  370.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  371.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  372.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  373.    wt: 1:   7 Adding decimal fractions using decimal point
  374.    wt: 1:   11 Place Value SI Standard International way
  375.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  376.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  377.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  378.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  379.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  380.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  381.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  382.    wt: 1:   The 12 Times Table Visually
  383.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  384.    wt: 1:   016 Numbering Occidental Calendar Days
  385.    wt: 1:   015 School and work day counting tables
  386.    wt: 1:   012 Division of Time Intervals by Time Intervals
  387.    wt: 1:   6 How long is a million seconds
  388.    wt: 1:   4 Mixing and Changing Units of Time
  389.    wt: 1:   3 Units and Lengths of Time
  390.    wt: 1:   2 Time and Date Matters in School
  391.    wt: 1:   1 Intro of Kids To Time Date Skills
  392.    wt: 1:   Example 1. Area Between x and x squared
  393.    wt: 1:   5 Area Under Curve Exercise
  394.    wt: 1:   4 Definite Integrals Evaluation Exercises
  395.    wt: 1:   3 Two Chain Rule Method Exercises
  396.    wt: 1:   2 Indefinite Integrals Exercises
  397.    wt: 1:   4 Second derivative test exercise example
  398.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  399.    wt: 1:   26 Chain Rule Recognising outer inner functions
  400.    wt: 1:   17 Derivatives of quotients of sine and cosine
  401.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  402.    wt: 1:   15 sine and cosine derivatives 3rd step
  403.    wt: 1:   14 sine and cosine derivatives 2nd step
  404.    wt: 1:   13 sine and cosine derivatives 1st step
  405.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  406.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  407.    wt: 1:   9 Limits Continuity and Composition
  408.    wt: 1:   5 Jumps and absence of unlimited error control
  409.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  410.    wt: 1:   PostScript For and Against Decimal Perspectives
  411.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  412.    wt: 1:   Chapter 22 Complex Numbers
  413.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  414.    wt: 1:   Chapter 12. Units and Slopes
  415.    wt: 1:   Chapter 10 Slopes and Units
  416.    wt: 1:   Chapter 7 Slopes and Velocity
  417.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  418.    wt: 1:   Chapter 4. More Slope Sign Analysis
  419.    wt: 1:   Chapter 3. Slope Sign Analysis
  420.    wt: 1:   Chapter 2. Slopes and Ski Trails
  421.    wt: 1:   Appendix E. How To Study Mathematics and Why
  422.    wt: 1:   Appendix D. What to do in School and Why
  423.    wt: 1:   Chapter 31 Direct and Indirect Reason
  424.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  425.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  426.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  427.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  428.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  429.    wt: 1:   Chapter 20. Degrees and Radians
  430.    wt: 1:   Chapter 19. Functions and Sets
  431.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  432.    wt: 1:   Chapter 12. Shorthand Usage Guide
  433.    wt: 1:   Chapter 11. Why Shorthand
  434.    wt: 1:   Chapter 10 Describing and Changing Calculations
  435.    wt: 1:   Postscript What is a Variable
  436.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  437.    wt: 1:   Chapter 8 Three Skills For Algebra
  438.    wt: 1:   Solutions For Arithmetic Exercises
  439.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  440.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  441.    wt: 1:   Chapter 2 For and Against Mathematics
  442.    wt: 1:   Postscript C Consistency as a Tool for Reason
  443.    wt: 1:   Postscript B More on Story Telling and Reason
  444.    wt: 1:   Chapter 24 Direct and Indirect Reason
  445.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  446.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  447.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  448.    wt: 1:   Chapter 18 Sense and Knowledge
  449.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  450.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  451.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  452.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  453.    wt: 1:   R Why Learn Mathematics Skills
  454.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  455.    wt: 1:   O On Learning Mathematics and Science
  456.    wt: 1:   L Skills with take home value
  457.    wt: 1:   N Improving Marks on Tests and Finals
  458.    wt: 1:   J. More on written work and showing skill
  459.    wt: 1:   H Jigsaw puzzles and problem solving
  460.    wt: 1:   G. Written work formats for developing and showing skill
  461.    wt: 1:   E. When and how to correct errors
  462.    wt: 1:   Helping the Blind in Logic and Mathematics
  463.    wt: 1:   More Algebra and Slope based Calculus Preview
  464.    wt: 1:   Systematic Algebra Skill Development Missing Links
  465.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  466.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  467.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  468.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  469.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

790 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   3 Multiplying Units and Numbers
  3.    wt: 9:   21 Working With Signs
  4.    wt: 9:   18 Efficient Ways to Multiply
  5.    wt: 9:   11 Simplification an Algebraic View
  6.    wt: 9:   8 Numerals Fractionals Quantals Take II
  7.    wt: 9:   7 Numerals Fractionals Quantals
  8.    wt: 9:   6 Multiplication Algebraically Take II
  9.    wt: 9:   4 Fraction Multiplication
  10.    wt: 9:   3 Unit fraction of a fraction
  11.    wt: 9:   2 Unit Fraction Multiplication
  12.    wt: 8:   4 Greater More Less Than Signs in General
  13.    wt: 8:   11 What are real lengths and numbers
  14.    wt: 8:   5 lengths and signs of numbers
  15.    wt: 8:   2 signed and unsigned numbers as coordinates
  16.    wt: 8:   6 Simplification of Fractions with Units
  17.    wt: 8:   4 Fractions with Units
  18.    wt: 8:   2 Equality and Units
  19.    wt: 8:   1 Addition and Subtraction with Units
  20.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  21.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  22.    wt: 8:   26 Divisibility by 2 3 5 Example
  23.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  24.    wt: 8:   24 Divisibility Tests for 2 3 5 9 10
  25.    wt: 8:   11 Remainder Arithmetic Long Division by 5 Quickly more
  26.    wt: 8:   10 Remainder Arithmetic Long Division by 5 Quickly
  27.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  28.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  29.    wt: 8:   Division with Counts and Length
  30.    wt: 8:   Long Division forwards and backwards Example 3
  31.    wt: 8:   Long Division forwards and backwards Example 2
  32.    wt: 8:   Long Division forwards and backwards Example 1
  33.    wt: 8:   10 Division by Five Long and Short Ways
  34.    wt: 8:   7 Long Divison Mistake Catching
  35.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  36.    wt: 8:   3 Division Single Digit Divisor Example
  37.    wt: 8:   2 Division with Single Digit Divisors
  38.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  39.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  40.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  41.    wt: 8:   8 What skills and work habits to require
  42.    wt: 8:   6. Counting and adding units and mixed units
  43.    wt: 8:   Quick history of numbers and algebra
  44.    wt: 7:   1 Squares and Square Roots Introduction
  45.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  46.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  47.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  48.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  49.    wt: 7:   7 GCD and LCM from prime factorization
  50.    wt: 7:   5 Common Divisors 60 45 via Prime
  51.    wt: 7:   4 LCM of 8 and 10 via Prime
  52.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  53.    wt: 7:   2 Least Common Multiple LCM intro via list method
  54.    wt: 7:   3 Counting with Tables and Trees II
  55.    wt: 7:   2 Counting with Tables and Trees I
  56.    wt: 7:   1 Counting and Counting Methods I
  57.    wt: 7:   10 dividing signed numbers
  58.    wt: 7:   9 subtracting signed numbers
  59.    wt: 7:   8 multiplying signed numbers
  60.    wt: 7:   7 negative and additive inverse
  61.    wt: 7:   6 adding signed numbers
  62.    wt: 7:   3 signed coordinates for maps and planes
  63.    wt: 7:   7 Converting or Changing Units
  64.    wt: 7:   6 Multiplication by Natural Numbers
  65.    wt: 7:   23 Remainder Arithmetic Modulo 2
  66.    wt: 7:   22 Remainder Arithmetic Modulo 3 more
  67.    wt: 7:   21 Remainder Arithmetic Modulo 3
  68.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  69.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  70.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  71.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  72.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  73.    wt: 7:   15 Remainder Arithmetic Modulo 9 Example
  74.    wt: 7:   14 Remainder Arithmetic Modulo 9 Example
  75.    wt: 7:   13 Remainder Arithmetic Modulo 5 Example
  76.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  77.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  78.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  79.    wt: 7:   6 Remainder Arithmetic Modulo 5 Propertie
  80.    wt: 7:   5 Remainder Arithmetic Modulo 5
  81.    wt: 7:   4 Remainder Arithmetic Modulo 10 in general
  82.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  83.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  84.    wt: 7:   1 Remainder Arithmetic Modulo 10
  85.    wt: 7:   17 Identify and Count Factors using Primes
  86.    wt: 7:   12 LCD GCD and LCM using Primes
  87.    wt: 7:   7 Calculator Usage Notes and Cautions
  88.    wt: 7:   5 Prime Factorization and a Square Rule
  89.    wt: 7:   3 video Primes and Composites from 9 times table
  90.    wt: 7:   2 Prime and Composites less than 16
  91.    wt: 7:   Long Division Backwards more
  92.    wt: 7:   Long Division Backward
  93.    wt: 7:   12 Why Long Division Works Take III
  94.    wt: 7:   11 Another Single Digit Divisor Example
  95.    wt: 7:   9 Why Long Division Works Take II
  96.    wt: 7:   8 Correcting the Mistake
  97.    wt: 7:   5 Long Division Include Zeroes or not
  98.    wt: 7:   4 Division with 2 Digit Divsors
  99.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  100.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  101.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  102.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  103.    wt: 7:   7 Adding decimal fractions using decimal point
  104.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  105.    wt: 7:   Exact Arithmetic Wholes and Fractions
  106.    wt: 6:   5 Square Roots with primes more still
  107.    wt: 6:   4 Square Roots with primes more
  108.    wt: 6:   3 Properties of Square Roots with example
  109.    wt: 6:   2 Square Roots with Prime
  110.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  111.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  112.    wt: 6:   13 GCD from given Prime Factorization
  113.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  114.    wt: 6:   8 GCD from Euclidean Algorithm
  115.    wt: 6:   6 GCD from Prime
  116.    wt: 6:   1 Least Common Multiples LCM Introduction
  117.    wt: 6:   12 GCD 2700 288 via Prime
  118.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  119.    wt: 6:   4 Counting with Trees Product Rule Take I
  120.    wt: 6:   4 signed coordinates for regions in space
  121.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  122.    wt: 6:   B Integer Long Division Multiple Choices
  123.    wt: 6:   11 Adding Integers Formulas and Examples
  124.    wt: 6:   8 Multiplication by Signed Numbers Integers
  125.    wt: 6:   5 Zero Movement and Additive Inverses
  126.    wt: 6:   20 Uniqueness of Prime Factorization
  127.    wt: 6:   19 video Prime Factorization Unique
  128.    wt: 6:   18 video Count Factors given Prime Factorization
  129.    wt: 6:   16 video Factors of 980 using prime
  130.    wt: 6:   15 video Factors of 20 using Prime Factorization
  131.    wt: 6:   14 video Factors of 24 Take II
  132.    wt: 6:   13 video Factors of 24 using prime
  133.    wt: 6:   11 Efficient Square Rule Use
  134.    wt: 6:   10 video Prime Factorization upto 23 squared
  135.    wt: 6:   9 video Prime Factorization upto 19 squared
  136.    wt: 6:   8 video Prime Factorization upto 19
  137.    wt: 6:   4 video Prime Factorization Introduction
  138.    wt: 6:   1 video how Products are bigger than factor
  139.    wt: 6:   1 Divsion Physical Examples
  140.    wt: 6:   A Elementary Basis for Multiplication Methods
  141.    wt: 6:   6 Multiplication Commutes Order Not Important
  142.    wt: 6:   4 Two and Three Digit Multipliers
  143.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  144.    wt: 6:   Subtraction with J Conversions Example
  145.    wt: 6:   Subtraction Another Video Lesson
  146.    wt: 6:   9 22 Minute Subtraction Review Video
  147.    wt: 6:   8 Subtraction with Units of Measure
  148.    wt: 6:   5 A Tip for Efficent Subtraction
  149.    wt: 6:   2 Subtraction Easy Case Examples
  150.    wt: 6:   5. How to add decimals C. Examples
  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:   9 Place Value Review Decimal form of Avogrados number included
  157.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  158.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  159.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  160.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  161.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  162.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  163.    wt: 6:   The 12 Times Table Visually
  164.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  165.    wt: 5:   arithmetic videos Real Player Format
  166.    wt: 5:   D Remainders Modulo 11 Pair Rule
  167.    wt: 5:   A Associative Law Theorectical Note
  168.    wt: 5:   13 Subtraction with Additive Inverse
  169.    wt: 5:   12 Adding Integers More Examples
  170.    wt: 5:   10 Integer Multiplication Formulas
  171.    wt: 5:   9 Multiplying Integers
  172.    wt: 5:   7 Multiplication by Signs
  173.    wt: 5:   4 Adding Movements wiht opposite directions
  174.    wt: 5:   3 Adding Movements with same direction
  175.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  176.    wt: 5:   1 Integers as Coordinates
  177.    wt: 5:   D Decimal Multiplication Methods Derived
  178.    wt: 5:   C Counting Areas with Powers of Ten
  179.    wt: 5:   B Powers of Ten
  180.    wt: 5:   5 Decimal Fraction Multiplication
  181.    wt: 5:   3 More One Digit Multipliers
  182.    wt: 5:   2 One Digit Multipliers
  183.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  184.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  185.    wt: 5:   Video Power Notation in Decimal Expansion
  186.    wt: 5:   1 Why 3 times 5 gives 15
  187.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  188.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  189.    wt: 5:   Formula Evaluation how to show work
  190.    wt: 5:   Expression Evaluation how to show work
  191.    wt: 5:   The 20 Times Table
  192.    wt: 5:   About folder contents
  193.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  194.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  195.    wt: 4:   What is and is not here
  196.    wt: 4:   6 Ruler and compass Angle Bisection
  197.    wt: 4:   8 Division and Mulplication of Compound Fractions
  198.    wt: 4:   4 Comparison of Negative Numbers
  199.    wt: 4:   2 More and Less Than for Counts and Measures
  200.    wt: 4:   1 Real Numbers Comparison
  201.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  202.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  203.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  204.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  205.    wt: 3:   7 Tangent Function is odd on this domain
  206.    wt: 3:   12 cis formulas for sine cosines and tangent
  207.    wt: 3:   9 The complex number valued trig function cis
  208.    wt: 3:   6 Field Properties of Complex Number
  209.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  210.    wt: 3:   3 Trigonometric Ratios sine and cosine
  211.    wt: 3:   7 Exercises to test skill and concept mastery
  212.    wt: 3:   6 Polar Multiplication and Rotation
  213.    wt: 3:   PS H Distributive Law For Complex Numbers
  214.    wt: 3:   musings do not puiblish real numbers
  215.    wt: 3:   11 Signed Number Addition and Addition Properties
  216.    wt: 3:   B Decimal Comparison and Subtraction
  217.    wt: 3:   5 Distributive Law for Whole Numbers
  218.    wt: 3:   2 Combing Counts Addition Skills and Principles
  219.    wt: 3:   4 Rates Ratios and Proporitionality
  220.    wt: 3:   4 Subtraction and Division Axioms
  221.    wt: 3:   3 More and Less Than with Unlike Signs
  222.    wt: 3:   16 Real Numbers Comparison
  223.    wt: 3:   15 Real Number Division
  224.    wt: 3:   10 Real Number Lengths and Signs
  225.    wt: 3:   1 Whole and Natural Numbers
  226.    wt: 3:   6 Three Examples
  227.    wt: 3:   011 Division of Time Intervals By Numbers
  228.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  229.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  230.    wt: 3:   I. Logic and language skills
  231.    wt: 3:   How to Build Skills and Confidence
  232.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  233.    wt: 2:   Ramblings Extrinsic numbers theory
  234.    wt: 2:   chapitre 12 00 les iles et division
  235.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  236.    wt: 2:   chapitre 06 00 Chaines de la raison
  237.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  238.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  239.    wt: 2:   Trois Notions qui menent a algebre
  240.    wt: 2:   2 Reading and Writing Skills
  241.    wt: 2:   Ages 12 to 14 Skills with take home value
  242.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  243.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  244.    wt: 2:   sign monoticity analysis example 4
  245.    wt: 2:   sign monoticity analysis example 3
  246.    wt: 2:   sign monoticity analysis example 2
  247.    wt: 2:   sign monoticity analysis example 1
  248.    wt: 2:   6 Set Existence Formation and Notation
  249.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  250.    wt: 2:   4 Polynomials Long division linear divisor
  251.    wt: 2:   9 Summary Degrees to Radians and back
  252.    wt: 2:   1 Degrees and Radians Introduction
  253.    wt: 2:   Vector and Complex Number Applet
  254.    wt: 2:   Parallel Lines and Parallel Transversals
  255.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  256.    wt: 2:   Parallel Lines and Interior Angles
  257.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  258.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  259.    wt: 2:   17D cis formulas for sine cosines and tangent
  260.    wt: 2:   17A The complex number valued trig function cis
  261.    wt: 2:   14 cosine even and sine and tangent are odd
  262.    wt: 2:   21 Logarithms Powers and Exponentials
  263.    wt: 2:   20 N th Roots of Complex Numbers
  264.    wt: 2:   16 References and Originality Question
  265.    wt: 2:   13 Trig Formulas for dot and cross Products
  266.    wt: 2:   11 sine and cosine double triple angle formulas
  267.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  268.    wt: 2:   5 An Easy Proof of the Distributive Law
  269.    wt: 2:   2 Complex Numbers made easier we hope
  270.    wt: 2:   Appetizer A Complex Number Applet
  271.    wt: 2:   7 Trignometric Ratios Unit Circle
  272.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  273.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  274.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  275.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  276.    wt: 2:   11 Triangle Similarity Missing Side Problem
  277.    wt: 2:   8 Similarity of Triangles and Polygons
  278.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  279.    wt: 2:   Four Simple Exercises
  280.    wt: 2:   10 Midpoint of [a b] and [b a]
  281.    wt: 2:   6 Intersection of lines by solving linear systems
  282.    wt: 2:   1 Numerical view of lines and their equations
  283.    wt: 2:   13 Pythagorean spatial distance formulas
  284.    wt: 2:   10 Pythagorean plane distance formula
  285.    wt: 2:   8 Distance Between Points on a Line
  286.    wt: 2:   7 Complex Numbers Appetizer
  287.    wt: 2:   5 Cartesian Addition and Translation
  288.    wt: 2:   4 Polar Coordinates to and from
  289.    wt: 2:   PS G Rotation Distributes over Addition
  290.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  291.    wt: 2:   17 Right Bisectors of Triangle Sides
  292.    wt: 2:   16 Angles Subtended By Chords and Diameters
  293.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  294.    wt: 2:   9 Construction of a right bisector
  295.    wt: 2:   8 Isoceles Triangles
  296.    wt: 2:   3 Isometry of Triangles Congruence
  297.    wt: 2:   1 Initial Concepts and Terms
  298.    wt: 2:   3 Lengths and Areas on Maps and Plans
  299.    wt: 2:   A Modular and Remainder Arithmetic
  300.    wt: 2:   A Signed Number Arithmetic Review
  301.    wt: 2:   26 More Less Greater Than Comparison
  302.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  303.    wt: 2:   23 Distributive Law Two Derivations
  304.    wt: 2:   22 Multiplication of Signed Numbers
  305.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  306.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  307.    wt: 2:   13 Arrows and Vectors in a Plane
  308.    wt: 2:   12 Real Numbers Line Signed Coordinates
  309.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  310.    wt: 2:   9 Division with Digits after Decimal Point
  311.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  312.    wt: 2:   1 Fractions with Finite Decimal Expansions
  313.    wt: 2:   E Long Division Methods more
  314.    wt: 2:   D Long Division Methods
  315.    wt: 2:   6 Column Methods for Decimal Multiplication
  316.    wt: 2:   3 Multiplicative Counting Skills Principles
  317.    wt: 2:   1 The Counting Origins of Numbers
  318.    wt: 2:   5 Proportionality in Equivalent Fractions
  319.    wt: 2:   1 What is Proportionality
  320.    wt: 2:   6 Equations and Systems Equivalent or Implied
  321.    wt: 2:   2 Addition and Multiplication Axioms
  322.    wt: 2:   5 Greater More Less Than Signs in General
  323.    wt: 2:   14 Real Number Multiplication
  324.    wt: 2:   13 Real Number Subtraction
  325.    wt: 2:   12 Real Number Additive Inverses or Negatives
  326.    wt: 2:   11 Real Number Addition
  327.    wt: 2:   8 Coordinates for Maps and Planes
  328.    wt: 2:   7 Real Numbers as Line Cordinates
  329.    wt: 2:   6 Unsigned Real Numbers
  330.    wt: 2:   5 Rational Numbers More
  331.    wt: 2:   4 Rational Numbers
  332.    wt: 2:   3 Fractions
  333.    wt: 2:   3 Geometric Formulas and Function Notation
  334.    wt: 2:   1 Formulas Dependence and Function Notation
  335.    wt: 2:   Skill Development Notes
  336.    wt: 2:   10 One Example
  337.    wt: 2:   9 Three Examples
  338.    wt: 2:   8 One Example
  339.    wt: 2:   7 Two Examples
  340.    wt: 2:   5 Three Examples
  341.    wt: 2:   4 Two Examples
  342.    wt: 2:   3 Two Examples
  343.    wt: 2:   2 Three Examples
  344.    wt: 2:   9 Sets in Probability and Statistics
  345.    wt: 2:   5 Talking about Numbers and Quantities
  346.    wt: 2:   4 A Brief Story of numbers and algebra
  347.    wt: 2:   016 Numbering Occidental Calendar Days
  348.    wt: 2:   015 School and work day counting tables
  349.    wt: 2:   012 Division of Time Intervals by Time Intervals
  350.    wt: 2:   6 How long is a million seconds
  351.    wt: 2:   4 Mixing and Changing Units of Time
  352.    wt: 2:   3 Units and Lengths of Time
  353.    wt: 2:   2 Time and Date Matters in School
  354.    wt: 2:   1 Intro of Kids To Time Date Skills
  355.    wt: 2:   Example 1. Area Between x and x squared
  356.    wt: 2:   38 Formulas and derivatives for powers and roots
  357.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  358.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  359.    wt: 2:   9 Limits Continuity and Composition
  360.    wt: 2:   5 Jumps and absence of unlimited error control
  361.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  362.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  363.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  364.    wt: 2:   Appendix E. How To Study Mathematics and Why
  365.    wt: 2:   Appendix D. What to do in School and Why
  366.    wt: 2:   Chapter 31 Direct and Indirect Reason
  367.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  368.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  369.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  370.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  371.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  372.    wt: 2:   Chapter 20. Degrees and Radians
  373.    wt: 2:   Chapter 19. Functions and Sets
  374.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  375.    wt: 2:   Chapter 12. Shorthand Usage Guide
  376.    wt: 2:   Chapter 11. Why Shorthand
  377.    wt: 2:   Chapter 10 Describing and Changing Calculations
  378.    wt: 2:   Postscript What is a Variable
  379.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  380.    wt: 2:   Chapter 8 Three Skills For Algebra
  381.    wt: 2:   Solutions For Arithmetic Exercises
  382.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  383.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  384.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  385.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  386.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  387.    wt: 2:   R Why Learn Mathematics Skills
  388.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  389.    wt: 2:   O On Learning Mathematics and Science
  390.    wt: 2:   L Skills with take home value
  391.    wt: 2:   N Improving Marks on Tests and Finals
  392.    wt: 2:   J. More on written work and showing skill
  393.    wt: 2:   H Jigsaw puzzles and problem solving
  394.    wt: 2:   G. Written work formats for developing and showing skill
  395.    wt: 2:   E. When and how to correct errors
  396.    wt: 1:   Appendix 1 primary and preschool mathematic
  397.    wt: 1:   G LAMP Introduction Problem Solving Skills
  398.    wt: 1:   F LAMP Introduction Prerequisites
  399.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  400.    wt: 1:   Skills Chapter 5 Calculus
  401.    wt: 1:   Skills Chapter 4 Logic
  402.    wt: 1:   Skills Chapter 3 Algebra
  403.    wt: 1:   Skills Chapter 2 Geometry
  404.    wt: 1:   Skills Chapter 1 Arithmetic
  405.    wt: 1:   Skills Chapter 0 Introduction
  406.    wt: 1:   10 statistics
  407.    wt: 1:   7 logic review and decimals an odd combination
  408.    wt: 1:   5 logarithms and exponentials etc
  409.    wt: 1:   2 arithmetic with signed numbers
  410.    wt: 1:   1 arithmetic with unsigned numbers
  411.    wt: 1:   What is POMME
  412.    wt: 1:   permissions for teachers
  413.    wt: 1:   key notes and themes
  414.    wt: 1:   what should be learnt and When
  415.    wt: 1:   Education Reform Inconsistencies
  416.    wt: 1:   standards for course material
  417.    wt: 1:   Theory of Knowledge
  418.    wt: 1:   Education in mathematics science and technology
  419.    wt: 1:   Motivation and Context Problem
  420.    wt: 1:   fairness and inductive principles for instruction
  421.    wt: 1:   chapitre 07 01 principle D induction mathematique
  422.    wt: 1:   chapitre 05 00 Deception
  423.    wt: 1:   chapitre 04 09 Regles accidentelles
  424.    wt: 1:   chapitre 04 08 Limitations et benefices
  425.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  426.    wt: 1:   chapitre 04 06 engagements
  427.    wt: 1:   chapitre 04 05 Implication versus suggestion
  428.    wt: 1:   chapitre 04 04 Parlons de la logique
  429.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  430.    wt: 1:   chapitre 04 02 Deuxieme enigme
  431.    wt: 1:   chapitre 04 01 Premiere enigme
  432.    wt: 1:   chapitre 04 00 Les regles d implication
  433.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  434.    wt: 1:   chapitre 02 00 La Communication des idees
  435.    wt: 1:   chapitre 01 00 Introduction
  436.    wt: 1:   liens
  437.    wt: 1:   problemes responses
  438.    wt: 1:   problemes algebre et arithmetique
  439.    wt: 1:   deux definitions pour variable
  440.    wt: 1:   logique deux enigme
  441.    wt: 1:   2 Conductance Resistance Duality02
  442.    wt: 1:   1 Conductance Resistance Duality01
  443.    wt: 1:   F Wire Resistance Calculation04
  444.    wt: 1:   E Wire Resistance Calculation03
  445.    wt: 1:   D Wire Resistance Calculation02
  446.    wt: 1:   C Wire Resistance Calculation01
  447.    wt: 1:   B Wire Resistance Qualitative02
  448.    wt: 1:   A Wire Resistance Qualitative01
  449.    wt: 1:   3 Like resistors in parallel
  450.    wt: 1:   2 Unlike resistors in parallel01
  451.    wt: 1:   1 Like resistors in series
  452.    wt: 1:   F Unlike Resistors in Series
  453.    wt: 1:   Home Tutoring and Home Schooling
  454.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  455.    wt: 1:   24 Standards For Skill Develoment Take II
  456.    wt: 1:   24 Standards For Skill Develoment
  457.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  458.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  459.    wt: 1:   17 Math Booklets for children and young teenagers
  460.    wt: 1:   14 Multiplication and Times Tables
  461.    wt: 1:   13 Addition and Addition Tables
  462.    wt: 1:   12 Goals and Objectives For Mathematics
  463.    wt: 1:   11 Help and Defend Your Child or Teens Education
  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:   26 Function definitions done and coming
  478.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  479.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  480.    wt: 1:   19 Horizontal line rule and method
  481.    wt: 1:   18 Vertical Line Rule and Method
  482.    wt: 1:   17 Function maxima minima and their location
  483.    wt: 1:   15 Sign analysis of functions
  484.    wt: 1:   12 Function Domain Recognition Exercises
  485.    wt: 1:   11 Function Domain Range Source and Targets
  486.    wt: 1:   9 Set theory term relation possible origins
  487.    wt: 1:   8 Set view of relations and functions
  488.    wt: 1:   4 Function notation in and beyond mathematics
  489.    wt: 1:   3 Formula or function graphing exercise
  490.    wt: 1:   10 quadratic exercises
  491.    wt: 1:   9 quadratics physical and further context
  492.    wt: 1:   1 quadratics graphing exercises
  493.    wt: 1:   11 Growth and Decay in Biology
  494.    wt: 1:   10 Exponential Growth and Decay Models
  495.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  496.    wt: 1:   5 Natural Logarithm Calculator Exercises
  497.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  498.    wt: 1:   1 Calculator Starter Exercises
  499.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  500.    wt: 1:   1 Polynomials Distributive Law
  501.    wt: 1:   16 cotangent function Definition Graph and Inverse
  502.    wt: 1:   15 cosecant function Definition Graph and Inverse
  503.    wt: 1:   14 secant function Definition Graph and Inverse
  504.    wt: 1:   13 cosecant function Definition Graph and Inverse
  505.    wt: 1:   5 Swapping Coordinates is a reflection
  506.    wt: 1:   8 Radian Measures of Common Angles
  507.    wt: 1:   7 Radian Measures in special Triangles
  508.    wt: 1:   6 Radian Measure to Degrees
  509.    wt: 1:   5 Degrees to Radian Measure
  510.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  511.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  512.    wt: 1:   2 Radian Measure Numerical Value of one degree
  513.    wt: 1:   A Global Time and Navigation
  514.    wt: 1:   15 Dot and Cross Product
  515.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  516.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  517.    wt: 1:   4 graphing y=Asin(x c)
  518.    wt: 1:   3 graphing y=f(x c) plus K
  519.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  520.    wt: 1:   1 graphing y=f(x a)
  521.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  522.    wt: 1:   Triangle Angles Sum To 180 Degrees
  523.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  524.    wt: 1:   Straight Lines ASA Intersection Study More
  525.    wt: 1:   Straight Lines ASA Intersection Study
  526.    wt: 1:   Straight Lines Instersection Solving Equations
  527.    wt: 1:   Straight Lines Intersection of
  528.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  529.    wt: 1:   C Straight Lines Slope from Coordinates
  530.    wt: 1:   B Straight Line Slope Scaling Properties More
  531.    wt: 1:   A Straight Line Slope Scaling Properties
  532.    wt: 1:   14 Straight Lines Equations General Case
  533.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  534.    wt: 1:   12 Straight Lines Graphing mx plus b
  535.    wt: 1:   11 Straight Lines Graphing y=mx
  536.    wt: 1:   10 Straight Lines through Origin Equations More
  537.    wt: 1:   9 Straight Lines through Origin Equations
  538.    wt: 1:   8 Straight Lines Equation for vertical
  539.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  540.    wt: 1:   5 Tangent Function Graph
  541.    wt: 1:   4 Tangent Function Properties
  542.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  543.    wt: 1:   1 Straight Lines Slope Concept
  544.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  545.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  546.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  547.    wt: 1:   29 secant cosecant and cotangent for acute angles
  548.    wt: 1:   27 Logarithmic use of products of sines and cosines
  549.    wt: 1:   26 Formulas for products of sines and cosines
  550.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  551.    wt: 1:   21 sine and cosine Half Angle Formulas
  552.    wt: 1:   20 sine and cosine Double Angle Formulas
  553.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  554.    wt: 1:   17E Trig Formulas for dot and cross Products
  555.    wt: 1:   17C sine and cosine double triple angle formulas
  556.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  557.    wt: 1:   10 Graphs of sines and cosines many periods
  558.    wt: 1:   9 Graphs of sine and cosine over one period
  559.    wt: 1:   7 period of sine and cosine
  560.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  561.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  562.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  563.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  564.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  565.    wt: 1:   19 N th Roots of Unity
  566.    wt: 1:   18 Sixth Roots of Unity
  567.    wt: 1:   17 Cube Roots of unity
  568.    wt: 1:   15 Pythagorean Theorem Converse
  569.    wt: 1:   14 Law of cosines
  570.    wt: 1:   8 Unit Circle Development of Trigonometry
  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:   6 Trigonometry Sines of Supplementary Angles
  577.    wt: 1:   1 Angle Measurement with Degrees
  578.    wt: 1:   Why Trigonometry the whyslopes view
  579.    wt: 1:   12 Triangles Similarity More Problems
  580.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  581.    wt: 1:   9 Similarity of Triangles Usual Criteria
  582.    wt: 1:   7 Translations Rotations Reflections Dilatations
  583.    wt: 1:   6 Geometric Diagrams in Class
  584.    wt: 1:   4 Similarity Definition with Coordinate
  585.    wt: 1:   3 Similarity by Design with coordinates
  586.    wt: 1:   2 Similarity By Design
  587.    wt: 1:   1 Early Concept of Like or Similar Shapes
  588.    wt: 1:   12 Links Lessons elsewhere
  589.    wt: 1:   11 A Partial Summary
  590.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  591.    wt: 1:   8 Mid Point Formula
  592.    wt: 1:   5 Algebraic View of Slopes
  593.    wt: 1:   4 Equations for lines three forms
  594.    wt: 1:   3 Slope product for perpendicular lines
  595.    wt: 1:   2 point slope equation for a line
  596.    wt: 1:   12 Spatial Coordinates
  597.    wt: 1:   11 Triangle Inequality
  598.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  599.    wt: 1:   3 Rectangular Coordinates Review
  600.    wt: 1:   2 Cartesian Coordinates with signs
  601.    wt: 1:   1 Cartesian Coordinates sans signs
  602.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  603.    wt: 1:   PS E Multiplication with Polar Coordinates
  604.    wt: 1:   PS D Addition with Cartesian Coordinates
  605.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  606.    wt: 1:   PS B Parallelogram Construction Methods
  607.    wt: 1:   PS A Kite Construction Methods
  608.    wt: 1:   21 Parallelograms
  609.    wt: 1:   19 Right Triangle Similarity
  610.    wt: 1:   18 Triangle Similarity Take 1
  611.    wt: 1:   14 Parallel Lines Postulate
  612.    wt: 1:   13 Angle Side Angle Failure
  613.    wt: 1:   12 Side Angle Side Failure
  614.    wt: 1:   11 Triangle Construction Fails
  615.    wt: 1:   10 Dropping a perpendicular to line
  616.    wt: 1:   7 Angle Side Angle
  617.    wt: 1:   5 Side Angle Side
  618.    wt: 1:   4 Side Side Side
  619.    wt: 1:   2 Correspondence between Triangles
  620.    wt: 1:   Short Course on Euclidean Geometry
  621.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  622.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  623.    wt: 1:   21 Addition of Multiples of a Single Vector
  624.    wt: 1:   19 Signed Multiples of Vectors
  625.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  626.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  627.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  628.    wt: 1:   15 Head to Tails in place Addition Associative
  629.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  630.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  631.    wt: 1:   4 Location of Point in Decimal Addition
  632.    wt: 1:   3 Location of Point in Decimal Multiplication
  633.    wt: 1:   2 Counting Digits in Decimal Multiplication
  634.    wt: 1:   C Three Decimal Subtraction Methods
  635.    wt: 1:   A Decimal Addition Columm Methods
  636.    wt: 1:   8 Column Multiplication Methods in General
  637.    wt: 1:   7 Decimals Multiplication Methods Examples
  638.    wt: 1:   4 Commutative Law Groups Counting Form
  639.    wt: 1:   5 Areas of Rectangles Revisited
  640.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  641.    wt: 1:   3 Proportionality Examples
  642.    wt: 1:   2 Algebraic View
  643.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  644.    wt: 1:   6 Compound Interest Forward and Backwards
  645.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  646.    wt: 1:   5 Equality in Algebra
  647.    wt: 1:   3 Product Axioms Two Forms
  648.    wt: 1:   1 Equivalent Computation Rules
  649.    wt: 1:   9 Coordinates for Regions in Space
  650.    wt: 1:   2 Integers
  651.    wt: 1:   5 Independent versus Dependent Variables
  652.    wt: 1:   4 Changing Letters
  653.    wt: 1:   2 Computation Rules Evaluation
  654.    wt: 1:   More Exercises
  655.    wt: 1:   Simple Exercises
  656.    wt: 1:   3 GE III Equation Addition and Multiplication
  657.    wt: 1:   2 GE II Comparison
  658.    wt: 1:   4 Solving a triangular system exercise
  659.    wt: 1:   2 Essentially one exercises three with solution
  660.    wt: 1:   6 Algebraic Solution Example
  661.    wt: 1:   1 Written work formats for developing and showing skill
  662.    wt: 1:   8 Sets of Numbers
  663.    wt: 1:   6 Three Notions of What is a Variable
  664.    wt: 1:   2 What is a Variable
  665.    wt: 1:   1 Three Skills For Algebra
  666.    wt: 1:   014 Counting Days with Calendars
  667.    wt: 1:   013 Travel Time Tables
  668.    wt: 1:   010 Repeated Addition of Time Intervals
  669.    wt: 1:   8 Addition of Time Intervals via subtotaling
  670.    wt: 1:   7 Addition of Time Intervals
  671.    wt: 1:   5 Conversion Arithmetic
  672.    wt: 1:   Example 2 volume of a cone
  673.    wt: 1:   Example 1 volume of a pyramid
  674.    wt: 1:   Volume of Solid by Cross Sections Lesson
  675.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  676.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  677.    wt: 1:   Example 4 with x function of y
  678.    wt: 1:   Example 3
  679.    wt: 1:   Example 2
  680.    wt: 1:   Example 1
  681.    wt: 1:   Area Between Curves Lesson Take 2
  682.    wt: 1:   Area Between Curves Lesson Take 1
  683.    wt: 1:   Summary
  684.    wt: 1:   5 Area Under Curve Exercise
  685.    wt: 1:   4 Definite Integrals Evaluation Exercises
  686.    wt: 1:   3 Two Chain Rule Method Exercises
  687.    wt: 1:   2 Indefinite Integrals Exercises
  688.    wt: 1:   4 Second derivative test exercise example
  689.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  690.    wt: 1:   26 Chain Rule Recognising outer inner functions
  691.    wt: 1:   17 Derivatives of quotients of sine and cosine
  692.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  693.    wt: 1:   15 sine and cosine derivatives 3rd step
  694.    wt: 1:   14 sine and cosine derivatives 2nd step
  695.    wt: 1:   13 sine and cosine derivatives 1st step
  696.    wt: 1:   11 Limits at infinity Three Examples
  697.    wt: 1:   10 Three one sided limits with infinite values
  698.    wt: 1:   8 Four Animated Examples
  699.    wt: 1:   7 Evaluation by immediate or delayed substitution
  700.    wt: 1:   6 Continuity at a point
  701.    wt: 1:   4 Numerical properties
  702.    wt: 1:   3 Decimal insights for limits continuity convergence
  703.    wt: 1:   2 Algebraic codification
  704.    wt: 1:   1 Numerical introduction
  705.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  706.    wt: 1:   PostScript For and Against Decimal Perspectives
  707.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  708.    wt: 1:   Chapter 22 Complex Numbers
  709.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  710.    wt: 1:   Chapter 12. Units and Slopes
  711.    wt: 1:   Chapter 10 Slopes and Units
  712.    wt: 1:   Chapter 7 Slopes and Velocity
  713.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  714.    wt: 1:   Chapter 4. More Slope Sign Analysis
  715.    wt: 1:   Chapter 3. Slope Sign Analysis
  716.    wt: 1:   Chapter 2. Slopes and Ski Trails
  717.    wt: 1:   Postscript More on Better Performance
  718.    wt: 1:   Postscript For Better Performance
  719.    wt: 1:   Appendix C. How to Read
  720.    wt: 1:   Appendix B. How To Learn
  721.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  722.    wt: 1:   Chapter 30 Truth Tables
  723.    wt: 1:   Chapter 28 Occurrence Tables
  724.    wt: 1:   Chapter 25. Mathematical Induction Examples
  725.    wt: 1:   Chapter 25. Mathematical Induction Examples
  726.    wt: 1:   Chapter 23. Notation For Sums
  727.    wt: 1:   Chapter 21. Third Reading Guide
  728.    wt: 1:   Chapter 18. Rules for Algebra
  729.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  730.    wt: 1:   Chapter 16. Painless Theorem Proving
  731.    wt: 1:   Chapter 15. Solving Linear Equations
  732.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  733.    wt: 1:   Chapter 13. Second Reading Guide
  734.    wt: 1:   Chapter 6 Change of Language
  735.    wt: 1:   Chapter 4 Longer Chains of Reason
  736.    wt: 1:   Chapter 3 Chains of Reason
  737.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  738.    wt: 1:   Foreword
  739.    wt: 1:   Chapter 2 For and Against Mathematics
  740.    wt: 1:   Postscript C Consistency as a Tool for Reason
  741.    wt: 1:   Postscript B More on Story Telling and Reason
  742.    wt: 1:   Chapter 24 Direct and Indirect Reason
  743.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  744.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  745.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  746.    wt: 1:   Chapter 18 Sense and Knowledge
  747.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  748.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  749.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  750.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  751.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  752.    wt: 1:   S Adding words to algebra
  753.    wt: 1:   N Mathematics Prepare for College Studies
  754.    wt: 1:   M Words to extend arithmetic
  755.    wt: 1:   H more Routine to non routine problem solving
  756.    wt: 1:   F. The student teacher tutor feedback loop
  757.    wt: 1:   D. Check work a must with a caution
  758.    wt: 1:   C. Domino effect of being careful
  759.    wt: 1:   B. Domino effect of errors
  760.    wt: 1:   A. Skill has to be seen to believed
  761.    wt: 1:   Helping the Blind in Logic and Mathematics
  762.    wt: 1:   More Algebra and Slope based Calculus Preview
  763.    wt: 1:   Systematic Algebra Skill Development Missing Links
  764.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  765.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  766.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  767.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  768.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  769.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  770.    wt: 12:   B Fractions and Two Term Ratios
  771.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  772.    wt: 12:   9 Improper Fractions and Mixed Numbers
  773.    wt: 11:   21 Reciprocals for Fractions and Wholes
  774.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  775.    wt: 10:   3 Comparison of Negative Numbers
  776.    wt: 10:   1 More and Less Than for Counts and Measures
  777.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  778.    wt: 10:   D Three Term Ratios
  779.    wt: 10:   22 Complex Compound Fractions
  780.    wt: 10:   20 Dividing Fractions the Why
  781.    wt: 10:   19 Dividing Fractions How TO
  782.    wt: 10:   17 Efficient Ways to Add and Subtract
  783.    wt: 10:   16 Addition Subtraction Comparision Compared
  784.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  785.    wt: 10:   14 Adding and Subtracting with Like Denominators
  786.    wt: 10:   13 Fraction Comparison Algebraic View
  787.    wt: 10:   12 Fraction Comparison
  788.    wt: 10:   5 Equivalent Fractions
  789.    wt: 10:   1 What is a fraction Take II
  790.    wt: 10:   1 What is 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.

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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
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


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Geometry - maps plans trigonometry vectors

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2 Euclidean Geometry - Constructions + extras
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8 Unit-Circle Trigonometry
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11 Parallel Straight Lines and Transversals
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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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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
4. Axioms, Item 3 Viewpnt
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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