Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons. See Site Map

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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46 matches:

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

Web Page Search

475 matches:

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

Extended Search

776 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

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

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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

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

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

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