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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45 matches:

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

Web Page Search

458 matches:

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

Extended Search

757 matches:

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

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Parents: Help your child or teen learn:

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

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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