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:   D Decimal Long Division Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   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

489 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:   Chapter 5 Islands and Divisions of Knowledge
  4.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  5.    wt: 3:   27 Logarithmic use of products of sines and cosines
  6.    wt: 3:   4 A Brief Story of numbers and algebra
  7.    wt: 3:   5 lengths and signs of numbers
  8.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  9.    wt: 3:   B Fractions and Two Term Ratios
  10.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  11.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  12.    wt: 3:   9 Improper Fractions and Mixed Numbers
  13.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  14.    wt: 3:   Quick history of numbers and algebra
  15.    wt: 3:   011 Division of Time Intervals By Numbers
  16.    wt: 3:   17 Derivatives of quotients of sine and cosine
  17.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  18.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  19.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  20.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  21.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  22.    wt: 2:   Ramblings Extrinsic numbers theory
  23.    wt: 2:   Theory of Knowledge
  24.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  25.    wt: 2:   2 Reading and Writing Skills
  26.    wt: 2:   8 Set view of relations and functions
  27.    wt: 2:   4 Resultant of a Sum of Movements
  28.    wt: 2:   Vector and Complex Number Applet
  29.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  30.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  31.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  32.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  33.    wt: 2:   26 Formulas for products of sines and cosines
  34.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  35.    wt: 2:   14 cosine even and sine and tangent are odd
  36.    wt: 2:   10 Graphs of sines and cosines many periods
  37.    wt: 2:   9 Graphs of sine and cosine over one period
  38.    wt: 2:   7 period of sine and cosine
  39.    wt: 2:   20 N th Roots of Complex Numbers
  40.    wt: 2:   6 Field Properties of Complex Number
  41.    wt: 2:   5 An Easy Proof of the Distributive Law
  42.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  43.    wt: 2:   3 Trigonometric Ratios sine and cosine
  44.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  45.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  46.    wt: 2:   8 Similarity of Triangles and Polygons
  47.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  48.    wt: 2:   10 Midpoint of [a b] and [b a]
  49.    wt: 2:   1 Numerical view of lines and their equations
  50.    wt: 2:   3 Lengths and Areas on Maps and Plans
  51.    wt: 2:   22 Multiplication of Signed Numbers
  52.    wt: 2:   21 Addition of Multiples of a Single Vector
  53.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  54.    wt: 2:   11 Signed Number Addition and Addition Properties
  55.    wt: 2:   2 Combing Counts Addition Skills and Principles
  56.    wt: 2:   1 The Counting Origins of Numbers
  57.    wt: 2:   4 Rates Ratios and Proporitionality
  58.    wt: 2:   4 Subtraction and Division Axioms
  59.    wt: 2:   4 Comparison of Negative Numbers
  60.    wt: 2:   2 More and Less Than for Counts and Measures
  61.    wt: 2:   15 Real Number Division
  62.    wt: 2:   10 Real Number Lengths and Signs
  63.    wt: 2:   1 Whole and Natural Numbers
  64.    wt: 2:   8 Sets of Numbers
  65.    wt: 2:   5 Talking about Numbers and Quantities
  66.    wt: 2:   3 Comparison of Negative Numbers
  67.    wt: 2:   1 More and Less Than for Counts and Measures
  68.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  69.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  70.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  71.    wt: 2:   4 LCM of 8 and 10 via Prime
  72.    wt: 2:   11 What are real lengths and numbers
  73.    wt: 2:   2 signed and unsigned numbers as coordinates
  74.    wt: 2:   6 Simplification of Fractions with Units
  75.    wt: 2:   3 Multiplying Units and Numbers
  76.    wt: 2:   21 Reciprocals for Fractions and Wholes
  77.    wt: 2:   6 Multiplication of Mixed Numbers
  78.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  79.    wt: 2:   Division with Counts and Length
  80.    wt: 2:   Long Division forwards and backwards Example 3
  81.    wt: 2:   Long Division forwards and backwards Example 2
  82.    wt: 2:   Long Division forwards and backwards Example 1
  83.    wt: 2:   10 Division by Five Long and Short Ways
  84.    wt: 2:   8 What skills and work habits to require
  85.    wt: 2:   6. Counting and adding units and mixed units
  86.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  87.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  88.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  89.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  90.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  91.    wt: 2:   Exact Arithmetic Wholes and Fractions
  92.    wt: 2:   012 Division of Time Intervals by Time Intervals
  93.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  94.    wt: 2:   4 Mixing and Changing Units of Time
  95.    wt: 2:   3 Units and Lengths of Time
  96.    wt: 2:   1 Intro of Kids To Time Date Skills
  97.    wt: 2:   38 Formulas and derivatives for powers and roots
  98.    wt: 2:   5 Jumps and absence of unlimited error control
  99.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  100.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  101.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  102.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  103.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  104.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  105.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  106.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  107.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  108.    wt: 2:   I. Logic and language skills
  109.    wt: 2:   How to Build Skills and Confidence
  110.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  111.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  112.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  113.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  114.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  115.    wt: 1:   Appendix 1 primary and preschool mathematic
  116.    wt: 1:   G LAMP Introduction Problem Solving Skills
  117.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  118.    wt: 1:   Skills Chapter 5 Calculus
  119.    wt: 1:   Skills Chapter 4 Logic
  120.    wt: 1:   Skills Chapter 3 Algebra
  121.    wt: 1:   Skills Chapter 2 Geometry
  122.    wt: 1:   Skills Chapter 1 Arithmetic
  123.    wt: 1:   Skills Chapter 0 Introduction
  124.    wt: 1:   7 logic review and decimals an odd combination
  125.    wt: 1:   5 logarithms and exponentials etc
  126.    wt: 1:   2 arithmetic with signed numbers
  127.    wt: 1:   1 arithmetic with unsigned numbers
  128.    wt: 1:   key notes and themes
  129.    wt: 1:   Mathematics Education Professors
  130.    wt: 1:   what should be learnt and When
  131.    wt: 1:   standards for course material
  132.    wt: 1:   Education in mathematics science and technology
  133.    wt: 1:   Different Kinds of Reasoning in maths
  134.    wt: 1:   three kinds of reason in mathematics
  135.    wt: 1:   Motivation and Context Problem
  136.    wt: 1:   fairness and inductive principles for instruction
  137.    wt: 1:   chapitre 12 00 les iles et division
  138.    wt: 1:   E Kirchoffs Second Law
  139.    wt: 1:   D Kirchoff First Law
  140.    wt: 1:   Home Tutoring and Home Schooling
  141.    wt: 1:   24 Standards For Skill Develoment Take II
  142.    wt: 1:   24 Standards For Skill Develoment
  143.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  144.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  145.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  146.    wt: 1:   17 Math Booklets for children and young teenagers
  147.    wt: 1:   14 Multiplication and Times Tables
  148.    wt: 1:   13 Addition and Addition Tables
  149.    wt: 1:   12 Goals and Objectives For Mathematics
  150.    wt: 1:   11 Help and Defend Your Child or Teens Education
  151.    wt: 1:   8 The Effect of Negative Remarks
  152.    wt: 1:   5 Patience Please for Yourself and Your Charges
  153.    wt: 1:   4 Learning Takes Time and Effort
  154.    wt: 1:   1 Speaking Skills
  155.    wt: 1:   Ages 12 to 14 Skills with take home value
  156.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  157.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  158.    wt: 1:   26 Function definitions done and coming
  159.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  160.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  161.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  162.    wt: 1:   19 Horizontal line rule and method
  163.    wt: 1:   18 Vertical Line Rule and Method
  164.    wt: 1:   17 Function maxima minima and their location
  165.    wt: 1:   15 Sign analysis of functions
  166.    wt: 1:   11 Function Domain Range Source and Targets
  167.    wt: 1:   9 Set theory term relation possible origins
  168.    wt: 1:   6 Set Existence Formation and Notation
  169.    wt: 1:   4 Function notation in and beyond mathematics
  170.    wt: 1:   2 Algebraic use of function notation
  171.    wt: 1:   1 Geometric Introduction of Function Notation
  172.    wt: 1:   9 quadratics physical and further context
  173.    wt: 1:   8 quadratics backward use of various formulas
  174.    wt: 1:   4 quadratics difference of two squares
  175.    wt: 1:   11 Growth and Decay in Biology
  176.    wt: 1:   10 Exponential Growth and Decay Models
  177.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  178.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  179.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  180.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  181.    wt: 1:   4 Polynomials Long division linear divisor
  182.    wt: 1:   16 cotangent function Definition Graph and Inverse
  183.    wt: 1:   15 cosecant function Definition Graph and Inverse
  184.    wt: 1:   14 secant function Definition Graph and Inverse
  185.    wt: 1:   13 cosecant function Definition Graph and Inverse
  186.    wt: 1:   11 arctan left inverse of tangent Graph
  187.    wt: 1:   10 arctan left inverse of tangent Definition
  188.    wt: 1:   8 arcsin left inverse of sine Graph
  189.    wt: 1:   7 arcsin left inverse of sine Definition
  190.    wt: 1:   6 Graph of arccos function
  191.    wt: 1:   3 Left Inverse of cosine arccos definition
  192.    wt: 1:   9 Summary Degrees to Radians and back
  193.    wt: 1:   8 Radian Measures of Common Angles
  194.    wt: 1:   2 Radian Measure Numerical Value of one degree
  195.    wt: 1:   1 Degrees and Radians Introduction
  196.    wt: 1:   A Global Time and Navigation
  197.    wt: 1:   15 Dot and Cross Product
  198.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  199.    wt: 1:   Parallel Lines and Parallel Transversals
  200.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  201.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  202.    wt: 1:   Parallel Lines and Interior Angles
  203.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  204.    wt: 1:   Straight Lines Intersection of
  205.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  206.    wt: 1:   32 seven rows of pascals triangle
  207.    wt: 1:   30 unit circle calculation of six trigonometric functions
  208.    wt: 1:   29 secant cosecant and cotangent for acute angles
  209.    wt: 1:   28 Expressing products of sines cosines as sums
  210.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  211.    wt: 1:   21 sine and cosine Half Angle Formulas
  212.    wt: 1:   20 sine and cosine Double Angle Formulas
  213.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  214.    wt: 1:   18 sum of sinusoidal waves as a single wave
  215.    wt: 1:   17F Law of cosines
  216.    wt: 1:   17E Trig Formulas for dot and cross Products
  217.    wt: 1:   17D cis formulas for sine cosines and tangent
  218.    wt: 1:   17C sine and cosine double triple angle formulas
  219.    wt: 1:   17A The complex number valued trig function cis
  220.    wt: 1:   13 Graph of tangent function many periods
  221.    wt: 1:   12 Graph of tangent function for one period
  222.    wt: 1:   8 period of tangent function
  223.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  224.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  225.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  226.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  227.    wt: 1:   Unit Circle Development of Trigonometry
  228.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  229.    wt: 1:   21 Logarithms Powers and Exponentials
  230.    wt: 1:   19 N th Roots of Unity
  231.    wt: 1:   18 Sixth Roots of Unity
  232.    wt: 1:   17 Cube Roots of unity
  233.    wt: 1:   16 References and Originality Question
  234.    wt: 1:   14 Law of cosines
  235.    wt: 1:   13 Trig Formulas for dot and cross Products
  236.    wt: 1:   12 cis formulas for sine cosines and tangent
  237.    wt: 1:   11 sine and cosine double triple angle formulas
  238.    wt: 1:   9 The complex number valued trig function cis
  239.    wt: 1:   8 Unit Circle Development of Trigonometry
  240.    wt: 1:   2 Complex Numbers made easier we hope
  241.    wt: 1:   Appetizer A Complex Number Applet
  242.    wt: 1:   7 Trignometric Ratios Unit Circle
  243.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  244.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  245.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  246.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  247.    wt: 1:   9 Similarity of Triangles Usual Criteria
  248.    wt: 1:   1 Early Concept of Like or Similar Shapes
  249.    wt: 1:   7 Exercises to test skill and concept mastery
  250.    wt: 1:   6 Intersection of lines by solving linear systems
  251.    wt: 1:   5 Algebraic View of Slopes
  252.    wt: 1:   What is and is not here
  253.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  254.    wt: 1:   7 Complex Numbers Appetizer
  255.    wt: 1:   6 Polar Multiplication and Rotation
  256.    wt: 1:   5 Cartesian Addition and Translation
  257.    wt: 1:   4 Polar Coordinates to and from
  258.    wt: 1:   PS H Distributive Law For Complex Numbers
  259.    wt: 1:   17 Right Bisectors of Triangle Sides
  260.    wt: 1:   16 Angles Subtended By Chords and Diameters
  261.    wt: 1:   9 Construction of a right bisector
  262.    wt: 1:   6 Ruler and compass Angle Bisection
  263.    wt: 1:   3 Isometry of Triangles Congruence
  264.    wt: 1:   1 Initial Concepts and Terms
  265.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  266.    wt: 1:   musings do not puiblish real numbers
  267.    wt: 1:   A Modular and Remainder Arithmetic
  268.    wt: 1:   A Signed Number Arithmetic Review
  269.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  270.    wt: 1:   19 Signed Multiples of Vectors
  271.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  272.    wt: 1:   13 Arrows and Vectors in a Plane
  273.    wt: 1:   12 Real Numbers Line Signed Coordinates
  274.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  275.    wt: 1:   9 Division with Digits after Decimal Point
  276.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  277.    wt: 1:   4 Location of Point in Decimal Addition
  278.    wt: 1:   3 Location of Point in Decimal Multiplication
  279.    wt: 1:   1 Fractions with Finite Decimal Expansions
  280.    wt: 1:   E Long Division Methods more
  281.    wt: 1:   D Long Division Methods
  282.    wt: 1:   B Decimal Comparison and Subtraction
  283.    wt: 1:   5 Distributive Law for Whole Numbers
  284.    wt: 1:   3 Multiplicative Counting Skills Principles
  285.    wt: 1:   5 Areas of Rectangles Revisited
  286.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  287.    wt: 1:   5 Proportionality in Equivalent Fractions
  288.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  289.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  290.    wt: 1:   6 Compound Interest Forward and Backwards
  291.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  292.    wt: 1:   6 Equations and Systems Equivalent or Implied
  293.    wt: 1:   2 Addition and Multiplication Axioms
  294.    wt: 1:   3 More and Less Than with Unlike Signs
  295.    wt: 1:   1 Real Numbers Comparison
  296.    wt: 1:   16 Real Numbers Comparison
  297.    wt: 1:   14 Real Number Multiplication
  298.    wt: 1:   13 Real Number Subtraction
  299.    wt: 1:   12 Real Number Additive Inverses or Negatives
  300.    wt: 1:   11 Real Number Addition
  301.    wt: 1:   8 Coordinates for Maps and Planes
  302.    wt: 1:   7 Real Numbers as Line Cordinates
  303.    wt: 1:   6 Unsigned Real Numbers
  304.    wt: 1:   5 Rational Numbers More
  305.    wt: 1:   4 Rational Numbers
  306.    wt: 1:   3 Fractions
  307.    wt: 1:   3 Geometric Formulas and Function Notation
  308.    wt: 1:   1 Formulas Dependence and Function Notation
  309.    wt: 1:   3 GE III Equation Addition and Multiplication
  310.    wt: 1:   11 Volume of Sphere
  311.    wt: 1:   10 Volume of Pyramid
  312.    wt: 1:   9 Volume of Cone
  313.    wt: 1:   1 Written work formats for developing and showing skill
  314.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  315.    wt: 1:   9 Sets in Probability and Statistics
  316.    wt: 1:   6 Three Notions of What is a Variable
  317.    wt: 1:   1 Three Skills For Algebra
  318.    wt: 1:   2 More and Less Than with Unlike Signs
  319.    wt: 1:   3 Properties of Square Roots with example
  320.    wt: 1:   1 Squares and Square Roots Introduction
  321.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  322.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  323.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  324.    wt: 1:   7 GCD and LCM from prime factorization
  325.    wt: 1:   3 Counting with Tables and Trees II
  326.    wt: 1:   2 Counting with Tables and Trees I
  327.    wt: 1:   1 Counting and Counting Methods I
  328.    wt: 1:   10 dividing signed numbers
  329.    wt: 1:   9 subtracting signed numbers
  330.    wt: 1:   8 multiplying signed numbers
  331.    wt: 1:   7 negative and additive inverse
  332.    wt: 1:   6 adding signed numbers
  333.    wt: 1:   3 signed coordinates for maps and planes
  334.    wt: 1:   4 Fractions with Units
  335.    wt: 1:   2 Equality and Units
  336.    wt: 1:   1 Addition and Subtraction with Units
  337.    wt: 1:   D Three Term Ratios
  338.    wt: 1:   22 Complex Compound Fractions
  339.    wt: 1:   20 Dividing Fractions the Why
  340.    wt: 1:   19 Dividing Fractions How TO
  341.    wt: 1:   17 Efficient Ways to Add and Subtract
  342.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  343.    wt: 1:   14 Adding and Subtracting with Like Denominators
  344.    wt: 1:   5 Equivalent Fractions
  345.    wt: 1:   3 Unit fraction of a fraction
  346.    wt: 1:   B Integer Long Division Multiple Choices
  347.    wt: 1:   11 Adding Integers Formulas and Examples
  348.    wt: 1:   8 Multiplication by Signed Numbers Integers
  349.    wt: 1:   6 Multiplication by Natural Numbers
  350.    wt: 1:   5 Zero Movement and Additive Inverses
  351.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  352.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  353.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  354.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  355.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  356.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  357.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  358.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  359.    wt: 1:   20 Uniqueness of Prime Factorization
  360.    wt: 1:   17 Identify and Count Factors using Primes
  361.    wt: 1:   16 video Factors of 980 using prime
  362.    wt: 1:   15 video Factors of 20 using Prime Factorization
  363.    wt: 1:   14 video Factors of 24 Take II
  364.    wt: 1:   13 video Factors of 24 using prime
  365.    wt: 1:   12 LCD GCD and LCM using Primes
  366.    wt: 1:   7 Calculator Usage Notes and Cautions
  367.    wt: 1:   5 Prime Factorization and a Square Rule
  368.    wt: 1:   3 video Primes and Composites from 9 times table
  369.    wt: 1:   2 Prime and Composites less than 16
  370.    wt: 1:   Long Division Backwards more
  371.    wt: 1:   Long Division Backward
  372.    wt: 1:   12 Why Long Division Works Take III
  373.    wt: 1:   9 Why Long Division Works Take II
  374.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  375.    wt: 1:   5 Long Division Include Zeroes or not
  376.    wt: 1:   4 Division with 2 Digit Divsors
  377.    wt: 1:   3 Division Single Digit Divisor Example
  378.    wt: 1:   2 Division with Single Digit Divisors
  379.    wt: 1:   C Counting Areas with Powers of Ten
  380.    wt: 1:   B Powers of Ten
  381.    wt: 1:   4 Two and Three Digit Multipliers
  382.    wt: 1:   8 Subtraction with Units of Measure
  383.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  384.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  385.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  386.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  387.    wt: 1:   7 Adding decimal fractions using decimal point
  388.    wt: 1:   11 Place Value SI Standard International way
  389.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  390.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  391.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  392.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  393.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  394.    wt: 1:   016 Numbering Occidental Calendar Days
  395.    wt: 1:   015 School and work day counting tables
  396.    wt: 1:   010 Repeated Addition of Time Intervals
  397.    wt: 1:   8 Addition of Time Intervals via subtotaling
  398.    wt: 1:   7 Addition of Time Intervals
  399.    wt: 1:   2 Time and Date Matters in School
  400.    wt: 1:   Example 2 volume of a cone
  401.    wt: 1:   Example 1 volume of a pyramid
  402.    wt: 1:   Volume of Solid by Cross Sections Lesson
  403.    wt: 1:   Example 1. Area Between x and x squared
  404.    wt: 1:   Example 4 with x function of y
  405.    wt: 1:   34 Derivative of exponential function
  406.    wt: 1:   31 Derivatives of inverse functions
  407.    wt: 1:   30Chain Rule A Proof
  408.    wt: 1:   28 Chain Rule Preparation for a Proof
  409.    wt: 1:   15 sine and cosine derivatives 3rd step
  410.    wt: 1:   14 sine and cosine derivatives 2nd step
  411.    wt: 1:   13 sine and cosine derivatives 1st step
  412.    wt: 1:   8 Differentiation of polynomials
  413.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  414.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  415.    wt: 1:   9 Limits Continuity and Composition
  416.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  417.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  418.    wt: 1:   G.3 Constant Difference Theorem Proof
  419.    wt: 1:   E2 Algebraic Properties of Limits
  420.    wt: 1:   D2 Limits of Monotone Sequences
  421.    wt: 1:   PostScript For and Against Decimal Perspectives
  422.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  423.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  424.    wt: 1:   Chapter 22 Complex Numbers
  425.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  426.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  427.    wt: 1:   Chapter 12. Units and Slopes
  428.    wt: 1:   Chapter 10 Slopes and Units
  429.    wt: 1:   Chapter 7 Slopes and Velocity
  430.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  431.    wt: 1:   Chapter 2. Slopes and Ski Trails
  432.    wt: 1:   Appendix E. How To Study Mathematics and Why
  433.    wt: 1:   Appendix D. What to do in School and Why
  434.    wt: 1:   Chapter 31 Direct and Indirect Reason
  435.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  436.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  437.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  438.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  439.    wt: 1:   Chapter 20. Degrees and Radians
  440.    wt: 1:   Chapter 19. Functions and Sets
  441.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  442.    wt: 1:   Chapter 12. Shorthand Usage Guide
  443.    wt: 1:   Chapter 11. Why Shorthand
  444.    wt: 1:   Chapter 10 Describing and Changing Calculations
  445.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  446.    wt: 1:   Chapter 8 Three Skills For Algebra
  447.    wt: 1:   Chapter 6 Change of Language
  448.    wt: 1:   Chapter 4 Longer Chains of Reason
  449.    wt: 1:   Chapter 3 Chains of Reason
  450.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  451.    wt: 1:   Chapter 7 Two Treatments of Geometry
  452.    wt: 1:   Chapter 2 For and Against Mathematics
  453.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  454.    wt: 1:   Postscript B More on Story Telling and Reason
  455.    wt: 1:   Chapter 24 Direct and Indirect Reason
  456.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  457.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  458.    wt: 1:   Chapter 18 Sense and Knowledge
  459.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  460.    wt: 1:   Chapter 8 Change of Language
  461.    wt: 1:   Chapter 7 Longer Chains of Reason
  462.    wt: 1:   Chapter 6 Chains of Reason
  463.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  464.    wt: 1:   R Why Learn Mathematics Skills
  465.    wt: 1:   O On Learning Mathematics and Science
  466.    wt: 1:   L Skills with take home value
  467.    wt: 1:   N Improving Marks on Tests and Finals
  468.    wt: 1:   J. More on written work and showing skill
  469.    wt: 1:   H Jigsaw puzzles and problem solving
  470.    wt: 1:   G. Written work formats for developing and showing skill
  471.    wt: 1:   E. When and how to correct errors
  472.    wt: 1:   C. Domino effect of being careful
  473.    wt: 1:   B. Domino effect of errors
  474.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  475.    wt: 1:   Chapter 8 Skipped Topics and Why
  476.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  477.    wt: 1:   Chapter 6 More Algebra and Geometry
  478.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  479.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  480.    wt: 1:   7 Games and Activities for Instruction
  481.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  482.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  483.    wt: 1:   Helping the Blind in Logic and Mathematics
  484.    wt: 1:   More Algebra and Slope based Calculus Preview
  485.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  486.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  487.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  488.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  489.    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:   6 Simplification of 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:   11 Simplification an Algebraic View
  11.    wt: 9:   8 Numerals Fractionals Quantals Take II
  12.    wt: 9:   7 Numerals Fractionals Quantals
  13.    wt: 9:   6 Multiplication Algebraically Take II
  14.    wt: 9:   4 Fraction Multiplication
  15.    wt: 9:   2 Unit Fraction Multiplication
  16.    wt: 9:   1 What is a fraction Take II
  17.    wt: 9:   1 What is a fraction
  18.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  19.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  20.    wt: 8:   4 Greater More Less Than Signs in General
  21.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  22.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  23.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  24.    wt: 8:   4 LCM of 8 and 10 via Prime
  25.    wt: 8:   11 What are real lengths and numbers
  26.    wt: 8:   2 signed and unsigned numbers as coordinates
  27.    wt: 8:   4 Fractions with Units
  28.    wt: 8:   2 Equality and Units
  29.    wt: 8:   1 Addition and Subtraction with Units
  30.    wt: 8:   Division with Counts and Length
  31.    wt: 8:   Long Division forwards and backwards Example 3
  32.    wt: 8:   Long Division forwards and backwards Example 2
  33.    wt: 8:   Long Division forwards and backwards Example 1
  34.    wt: 8:   10 Division by Five Long and Short Ways
  35.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  36.    wt: 8:   8 What skills and work habits to require
  37.    wt: 8:   6. Counting and adding units and mixed units
  38.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  39.    wt: 8:   Quick history of numbers and algebra
  40.    wt: 7:   3 Properties of Square Roots with example
  41.    wt: 7:   1 Squares and Square Roots Introduction
  42.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  43.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  44.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  45.    wt: 7:   7 GCD and LCM from prime factorization
  46.    wt: 7:   3 Counting with Tables and Trees II
  47.    wt: 7:   2 Counting with Tables and Trees I
  48.    wt: 7:   1 Counting and Counting Methods I
  49.    wt: 7:   10 dividing signed numbers
  50.    wt: 7:   9 subtracting signed numbers
  51.    wt: 7:   8 multiplying signed numbers
  52.    wt: 7:   7 negative and additive inverse
  53.    wt: 7:   6 adding signed numbers
  54.    wt: 7:   3 signed coordinates for maps and planes
  55.    wt: 7:   7 Converting or Changing Units
  56.    wt: 7:   6 Multiplication by Natural Numbers
  57.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  58.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  59.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  60.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  61.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  62.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  63.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  64.    wt: 7:   20 Uniqueness of Prime Factorization
  65.    wt: 7:   17 Identify and Count Factors using Primes
  66.    wt: 7:   16 video Factors of 980 using prime
  67.    wt: 7:   15 video Factors of 20 using Prime Factorization
  68.    wt: 7:   14 video Factors of 24 Take II
  69.    wt: 7:   13 video Factors of 24 using prime
  70.    wt: 7:   12 LCD GCD and LCM using Primes
  71.    wt: 7:   7 Calculator Usage Notes and Cautions
  72.    wt: 7:   5 Prime Factorization and a Square Rule
  73.    wt: 7:   3 video Primes and Composites from 9 times table
  74.    wt: 7:   2 Prime and Composites less than 16
  75.    wt: 7:   Long Division Backwards more
  76.    wt: 7:   Long Division Backward
  77.    wt: 7:   12 Why Long Division Works Take III
  78.    wt: 7:   9 Why Long Division Works Take II
  79.    wt: 7:   5 Long Division Include Zeroes or not
  80.    wt: 7:   4 Division with 2 Digit Divsors
  81.    wt: 7:   3 Division Single Digit Divisor Example
  82.    wt: 7:   2 Division with Single Digit Divisors
  83.    wt: 7:   8 Subtraction with Units of Measure
  84.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  85.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  86.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  87.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  88.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  89.    wt: 7:   7 Adding decimal fractions using decimal point
  90.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  91.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  92.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  93.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  94.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  95.    wt: 7:   Exact Arithmetic Wholes and Fractions
  96.    wt: 6:   5 Square Roots with primes more still
  97.    wt: 6:   4 Square Roots with primes more
  98.    wt: 6:   2 Square Roots with Prime
  99.    wt: 6:   13 GCD from given Prime Factorization
  100.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  101.    wt: 6:   8 GCD from Euclidean Algorithm
  102.    wt: 6:   6 GCD from Prime
  103.    wt: 6:   5 Common Divisors 60 45 via Prime
  104.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  105.    wt: 6:   2 Least Common Multiple LCM intro via list method
  106.    wt: 6:   1 Least Common Multiples LCM Introduction
  107.    wt: 6:   12 GCD 2700 288 via Prime
  108.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  109.    wt: 6:   4 Counting with Trees Product Rule Take I
  110.    wt: 6:   4 signed coordinates for regions in space
  111.    wt: 6:   B Integer Long Division Multiple Choices
  112.    wt: 6:   11 Adding Integers Formulas and Examples
  113.    wt: 6:   8 Multiplication by Signed Numbers Integers
  114.    wt: 6:   5 Zero Movement and Additive Inverses
  115.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  116.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  117.    wt: 6:   26 Divisibility by 2 3 5 Example
  118.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  119.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  120.    wt: 6:   23 Remainder Arithmetic Modulo 2
  121.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  122.    wt: 6:   21 Remainder Arithmetic Modulo 3
  123.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  124.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  125.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  126.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  127.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  128.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  129.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  130.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  131.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  132.    wt: 6:   5 Remainder Arithmetic Modulo 5
  133.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  134.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  135.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  136.    wt: 6:   1 Remainder Arithmetic Modulo 10
  137.    wt: 6:   19 video Prime Factorization Unique
  138.    wt: 6:   18 video Count Factors given Prime Factorization
  139.    wt: 6:   11 Efficient Square Rule Use
  140.    wt: 6:   10 video Prime Factorization upto 23 squared
  141.    wt: 6:   9 video Prime Factorization upto 19 squared
  142.    wt: 6:   8 video Prime Factorization upto 19
  143.    wt: 6:   4 video Prime Factorization Introduction
  144.    wt: 6:   1 video how Products are bigger than factor
  145.    wt: 6:   11 Another Single Digit Divisor Example
  146.    wt: 6:   8 Correcting the Mistake
  147.    wt: 6:   7 Long Divison Mistake Catching
  148.    wt: 6:   1 Divsion Physical Examples
  149.    wt: 6:   C Counting Areas with Powers of Ten
  150.    wt: 6:   B Powers of Ten
  151.    wt: 6:   6 Multiplication Commutes Order Not Important
  152.    wt: 6:   4 Two and Three Digit Multipliers
  153.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  154.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  155.    wt: 6:   Subtraction with J Conversions Example
  156.    wt: 6:   Subtraction Another Video Lesson
  157.    wt: 6:   9 22 Minute Subtraction Review Video
  158.    wt: 6:   5 A Tip for Efficent Subtraction
  159.    wt: 6:   2 Subtraction Easy Case Examples
  160.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  161.    wt: 6:   5. How to add decimals C. Examples
  162.    wt: 6:   4. How to add with decimals B with conversions
  163.    wt: 6:   3. How to add with decimals A sans conversions
  164.    wt: 6:   2 Decimal Counting Practices
  165.    wt: 6:   1. Explaining Addition Table
  166.    wt: 6:   11 Place Value SI Standard International way
  167.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  168.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  169.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  170.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  171.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  172.    wt: 5:   8 Division and Mulplication of Compound Fractions
  173.    wt: 5:   arithmetic videos Real Player Format
  174.    wt: 5:   D Remainders Modulo 11 Pair Rule
  175.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  176.    wt: 5:   A Associative Law Theorectical Note
  177.    wt: 5:   13 Subtraction with Additive Inverse
  178.    wt: 5:   12 Adding Integers More Examples
  179.    wt: 5:   10 Integer Multiplication Formulas
  180.    wt: 5:   9 Multiplying Integers
  181.    wt: 5:   7 Multiplication by Signs
  182.    wt: 5:   4 Adding Movements wiht opposite directions
  183.    wt: 5:   3 Adding Movements with same direction
  184.    wt: 5:   1 Integers as Coordinates
  185.    wt: 5:   D Decimal Multiplication Methods Derived
  186.    wt: 5:   A Elementary Basis for Multiplication Methods
  187.    wt: 5:   5 Decimal Fraction Multiplication
  188.    wt: 5:   3 More One Digit Multipliers
  189.    wt: 5:   2 One Digit Multipliers
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Power Notation in Decimal Expansion
  193.    wt: 5:   1 Why 3 times 5 gives 15
  194.    wt: 5:   Formula Evaluation how to show work
  195.    wt: 5:   Expression Evaluation how to show work
  196.    wt: 5:   The 20 Times Table
  197.    wt: 5:   The 12 Times Table Visually
  198.    wt: 5:   About folder contents
  199.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  200.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  201.    wt: 4:   6 Field Properties of Complex Number
  202.    wt: 4:   2 Combing Counts Addition Skills and Principles
  203.    wt: 4:   1 The Counting Origins of Numbers
  204.    wt: 4:   011 Division of Time Intervals By Numbers
  205.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  206.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  207.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  208.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  209.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  210.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  211.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  212.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  213.    wt: 3:   27 Logarithmic use of products of sines and cosines
  214.    wt: 3:   20 N th Roots of Complex Numbers
  215.    wt: 3:   5 An Easy Proof of the Distributive Law
  216.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  217.    wt: 3:   3 Trigonometric Ratios sine and cosine
  218.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  219.    wt: 3:   10 Midpoint of [a b] and [b a]
  220.    wt: 3:   6 Intersection of lines by solving linear systems
  221.    wt: 3:   1 Numerical view of lines and their equations
  222.    wt: 3:   6 Polar Multiplication and Rotation
  223.    wt: 3:   6 Ruler and compass Angle Bisection
  224.    wt: 3:   22 Multiplication of Signed Numbers
  225.    wt: 3:   21 Addition of Multiples of a Single Vector
  226.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  227.    wt: 3:   11 Signed Number Addition and Addition Properties
  228.    wt: 3:   E Long Division Methods more
  229.    wt: 3:   D Long Division Methods
  230.    wt: 3:   B Decimal Comparison and Subtraction
  231.    wt: 3:   6 Column Methods for Decimal Multiplication
  232.    wt: 3:   5 Distributive Law for Whole Numbers
  233.    wt: 3:   3 Multiplicative Counting Skills Principles
  234.    wt: 3:   4 Rates Ratios and Proporitionality
  235.    wt: 3:   4 Subtraction and Division Axioms
  236.    wt: 3:   4 Comparison of Negative Numbers
  237.    wt: 3:   2 More and Less Than for Counts and Measures
  238.    wt: 3:   15 Real Number Division
  239.    wt: 3:   10 Real Number Lengths and Signs
  240.    wt: 3:   1 Whole and Natural Numbers
  241.    wt: 3:   6 Three Examples
  242.    wt: 3:   4 A Brief Story of numbers and algebra
  243.    wt: 3:   012 Division of Time Intervals by Time Intervals
  244.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  245.    wt: 3:   4 Mixing and Changing Units of Time
  246.    wt: 3:   3 Units and Lengths of Time
  247.    wt: 3:   1 Intro of Kids To Time Date Skills
  248.    wt: 3:   17 Derivatives of quotients of sine and cosine
  249.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  250.    wt: 3:   5 Jumps and absence of unlimited error control
  251.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  252.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  253.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  254.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  255.    wt: 3:   I. Logic and language skills
  256.    wt: 3:   How to Build Skills and Confidence
  257.    wt: 3:   7 Games and Activities for Instruction
  258.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  259.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  260.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  261.    wt: 2:   Ramblings Extrinsic numbers theory
  262.    wt: 2:   Theory of Knowledge
  263.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  264.    wt: 2:   2 Reading and Writing Skills
  265.    wt: 2:   Ages 12 to 14 Skills with take home value
  266.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  267.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  268.    wt: 2:   8 Set view of relations and functions
  269.    wt: 2:   9 Summary Degrees to Radians and back
  270.    wt: 2:   8 Radian Measures of Common Angles
  271.    wt: 2:   2 Radian Measure Numerical Value of one degree
  272.    wt: 2:   1 Degrees and Radians Introduction
  273.    wt: 2:   4 Resultant of a Sum of Movements
  274.    wt: 2:   Vector and Complex Number Applet
  275.    wt: 2:   Parallel Lines and Parallel Transversals
  276.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  277.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  278.    wt: 2:   Parallel Lines and Interior Angles
  279.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  280.    wt: 2:   Straight Lines Intersection of
  281.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  282.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  283.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  284.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  285.    wt: 2:   26 Formulas for products of sines and cosines
  286.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  287.    wt: 2:   14 cosine even and sine and tangent are odd
  288.    wt: 2:   10 Graphs of sines and cosines many periods
  289.    wt: 2:   9 Graphs of sine and cosine over one period
  290.    wt: 2:   7 period of sine and cosine
  291.    wt: 2:   21 Logarithms Powers and Exponentials
  292.    wt: 2:   19 N th Roots of Unity
  293.    wt: 2:   18 Sixth Roots of Unity
  294.    wt: 2:   17 Cube Roots of unity
  295.    wt: 2:   16 References and Originality Question
  296.    wt: 2:   14 Law of cosines
  297.    wt: 2:   13 Trig Formulas for dot and cross Products
  298.    wt: 2:   12 cis formulas for sine cosines and tangent
  299.    wt: 2:   11 sine and cosine double triple angle formulas
  300.    wt: 2:   9 The complex number valued trig function cis
  301.    wt: 2:   8 Unit Circle Development of Trigonometry
  302.    wt: 2:   2 Complex Numbers made easier we hope
  303.    wt: 2:   Appetizer A Complex Number Applet
  304.    wt: 2:   7 Trignometric Ratios Unit Circle
  305.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  306.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  307.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  308.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  309.    wt: 2:   8 Similarity of Triangles and Polygons
  310.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  311.    wt: 2:   7 Exercises to test skill and concept mastery
  312.    wt: 2:   5 Algebraic View of Slopes
  313.    wt: 2:   What is and is not here
  314.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  315.    wt: 2:   7 Complex Numbers Appetizer
  316.    wt: 2:   5 Cartesian Addition and Translation
  317.    wt: 2:   4 Polar Coordinates to and from
  318.    wt: 2:   PS H Distributive Law For Complex Numbers
  319.    wt: 2:   17 Right Bisectors of Triangle Sides
  320.    wt: 2:   16 Angles Subtended By Chords and Diameters
  321.    wt: 2:   9 Construction of a right bisector
  322.    wt: 2:   3 Isometry of Triangles Congruence
  323.    wt: 2:   1 Initial Concepts and Terms
  324.    wt: 2:   3 Lengths and Areas on Maps and Plans
  325.    wt: 2:   musings do not puiblish real numbers
  326.    wt: 2:   A Modular and Remainder Arithmetic
  327.    wt: 2:   A Signed Number Arithmetic Review
  328.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  329.    wt: 2:   19 Signed Multiples of Vectors
  330.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  331.    wt: 2:   13 Arrows and Vectors in a Plane
  332.    wt: 2:   12 Real Numbers Line Signed Coordinates
  333.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  334.    wt: 2:   9 Division with Digits after Decimal Point
  335.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  336.    wt: 2:   4 Location of Point in Decimal Addition
  337.    wt: 2:   3 Location of Point in Decimal Multiplication
  338.    wt: 2:   1 Fractions with Finite Decimal Expansions
  339.    wt: 2:   C Three Decimal Subtraction Methods
  340.    wt: 2:   A Decimal Addition Columm Methods
  341.    wt: 2:   8 Column Multiplication Methods in General
  342.    wt: 2:   7 Decimals Multiplication Methods Examples
  343.    wt: 2:   4 Commutative Law Groups Counting Form
  344.    wt: 2:   5 Areas of Rectangles Revisited
  345.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  346.    wt: 2:   5 Proportionality in Equivalent Fractions
  347.    wt: 2:   6 Equations and Systems Equivalent or Implied
  348.    wt: 2:   2 Addition and Multiplication Axioms
  349.    wt: 2:   3 More and Less Than with Unlike Signs
  350.    wt: 2:   1 Real Numbers Comparison
  351.    wt: 2:   16 Real Numbers Comparison
  352.    wt: 2:   14 Real Number Multiplication
  353.    wt: 2:   13 Real Number Subtraction
  354.    wt: 2:   12 Real Number Additive Inverses or Negatives
  355.    wt: 2:   11 Real Number Addition
  356.    wt: 2:   8 Coordinates for Maps and Planes
  357.    wt: 2:   7 Real Numbers as Line Cordinates
  358.    wt: 2:   6 Unsigned Real Numbers
  359.    wt: 2:   5 Rational Numbers More
  360.    wt: 2:   4 Rational Numbers
  361.    wt: 2:   3 Fractions
  362.    wt: 2:   3 Geometric Formulas and Function Notation
  363.    wt: 2:   1 Formulas Dependence and Function Notation
  364.    wt: 2:   Skill Development Notes
  365.    wt: 2:   10 One Example
  366.    wt: 2:   9 Three Examples
  367.    wt: 2:   8 One Example
  368.    wt: 2:   7 Two Examples
  369.    wt: 2:   5 Three Examples
  370.    wt: 2:   4 Two Examples
  371.    wt: 2:   3 Two Examples
  372.    wt: 2:   2 Three Examples
  373.    wt: 2:   8 Sets of Numbers
  374.    wt: 2:   5 Talking about Numbers and Quantities
  375.    wt: 2:   016 Numbering Occidental Calendar Days
  376.    wt: 2:   015 School and work day counting tables
  377.    wt: 2:   010 Repeated Addition of Time Intervals
  378.    wt: 2:   8 Addition of Time Intervals via subtotaling
  379.    wt: 2:   7 Addition of Time Intervals
  380.    wt: 2:   2 Time and Date Matters in School
  381.    wt: 2:   Example 2 volume of a cone
  382.    wt: 2:   Example 1 volume of a pyramid
  383.    wt: 2:   Volume of Solid by Cross Sections Lesson
  384.    wt: 2:   Example 1. Area Between x and x squared
  385.    wt: 2:   Example 4 with x function of y
  386.    wt: 2:   38 Formulas and derivatives for powers and roots
  387.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  388.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  389.    wt: 2:   9 Limits Continuity and Composition
  390.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  391.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  392.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  393.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  394.    wt: 2:   Appendix E. How To Study Mathematics and Why
  395.    wt: 2:   Appendix D. What to do in School and Why
  396.    wt: 2:   Chapter 31 Direct and Indirect Reason
  397.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  398.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  399.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  400.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  401.    wt: 2:   Chapter 20. Degrees and Radians
  402.    wt: 2:   Chapter 19. Functions and Sets
  403.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  404.    wt: 2:   Chapter 12. Shorthand Usage Guide
  405.    wt: 2:   Chapter 11. Why Shorthand
  406.    wt: 2:   Chapter 10 Describing and Changing Calculations
  407.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  408.    wt: 2:   Chapter 8 Three Skills For Algebra
  409.    wt: 2:   Chapter 6 Change of Language
  410.    wt: 2:   Chapter 4 Longer Chains of Reason
  411.    wt: 2:   Chapter 3 Chains of Reason
  412.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  413.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  414.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  415.    wt: 2:   R Why Learn Mathematics Skills
  416.    wt: 2:   O On Learning Mathematics and Science
  417.    wt: 2:   L Skills with take home value
  418.    wt: 2:   N Improving Marks on Tests and Finals
  419.    wt: 2:   J. More on written work and showing skill
  420.    wt: 2:   H Jigsaw puzzles and problem solving
  421.    wt: 2:   G. Written work formats for developing and showing skill
  422.    wt: 2:   E. When and how to correct errors
  423.    wt: 2:   C. Domino effect of being careful
  424.    wt: 2:   B. Domino effect of errors
  425.    wt: 1:   Appendix 1 primary and preschool mathematic
  426.    wt: 1:   G LAMP Introduction Problem Solving Skills
  427.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  428.    wt: 1:   Skills Chapter 5 Calculus
  429.    wt: 1:   Skills Chapter 4 Logic
  430.    wt: 1:   Skills Chapter 3 Algebra
  431.    wt: 1:   Skills Chapter 2 Geometry
  432.    wt: 1:   Skills Chapter 1 Arithmetic
  433.    wt: 1:   Skills Chapter 0 Introduction
  434.    wt: 1:   7 logic review and decimals an odd combination
  435.    wt: 1:   5 logarithms and exponentials etc
  436.    wt: 1:   2 arithmetic with signed numbers
  437.    wt: 1:   1 arithmetic with unsigned numbers
  438.    wt: 1:   key notes and themes
  439.    wt: 1:   Mathematics Education Professors
  440.    wt: 1:   what should be learnt and When
  441.    wt: 1:   standards for course material
  442.    wt: 1:   Education in mathematics science and technology
  443.    wt: 1:   Different Kinds of Reasoning in maths
  444.    wt: 1:   three kinds of reason in mathematics
  445.    wt: 1:   Motivation and Context Problem
  446.    wt: 1:   fairness and inductive principles for instruction
  447.    wt: 1:   chapitre 12 00 les iles et division
  448.    wt: 1:   E Kirchoffs Second Law
  449.    wt: 1:   D Kirchoff First Law
  450.    wt: 1:   Home Tutoring and Home Schooling
  451.    wt: 1:   24 Standards For Skill Develoment Take II
  452.    wt: 1:   24 Standards For Skill Develoment
  453.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  454.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  455.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  456.    wt: 1:   17 Math Booklets for children and young teenagers
  457.    wt: 1:   14 Multiplication and Times Tables
  458.    wt: 1:   13 Addition and Addition Tables
  459.    wt: 1:   12 Goals and Objectives For Mathematics
  460.    wt: 1:   11 Help and Defend Your Child or Teens Education
  461.    wt: 1:   8 The Effect of Negative Remarks
  462.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  463.    wt: 1:   5 Patience Please for Yourself and Your Charges
  464.    wt: 1:   4 Learning Takes Time and Effort
  465.    wt: 1:   1 Speaking Skills
  466.    wt: 1:   Ages 12 to 14 Geometry
  467.    wt: 1:   Ages 12 to 14 Arithmetic
  468.    wt: 1:   Ages 10 to 12 Geometry
  469.    wt: 1:   Ages 10 to 12 Arithmetic
  470.    wt: 1:   Ages 9 to 10
  471.    wt: 1:   Ages 8 to 9
  472.    wt: 1:   Ages 7 to 8
  473.    wt: 1:   Ages 6 to 7
  474.    wt: 1:   Ages 4 plus to 5 plus
  475.    wt: 1:   Ages 3 plus to 4 plus
  476.    wt: 1:   26 Function definitions done and coming
  477.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  478.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  479.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  480.    wt: 1:   19 Horizontal line rule and method
  481.    wt: 1:   18 Vertical Line Rule and Method
  482.    wt: 1:   17 Function maxima minima and their location
  483.    wt: 1:   15 Sign analysis of functions
  484.    wt: 1:   11 Function Domain Range Source and Targets
  485.    wt: 1:   9 Set theory term relation possible origins
  486.    wt: 1:   6 Set Existence Formation and Notation
  487.    wt: 1:   4 Function notation in and beyond mathematics
  488.    wt: 1:   2 Algebraic use of function notation
  489.    wt: 1:   1 Geometric Introduction of Function Notation
  490.    wt: 1:   9 quadratics physical and further context
  491.    wt: 1:   8 quadratics backward use of various formulas
  492.    wt: 1:   4 quadratics difference of two squares
  493.    wt: 1:   11 Growth and Decay in Biology
  494.    wt: 1:   10 Exponential Growth and Decay Models
  495.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  496.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  497.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  498.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  499.    wt: 1:   4 Polynomials Long division linear divisor
  500.    wt: 1:   16 cotangent function Definition Graph and Inverse
  501.    wt: 1:   15 cosecant function Definition Graph and Inverse
  502.    wt: 1:   14 secant function Definition Graph and Inverse
  503.    wt: 1:   13 cosecant function Definition Graph and Inverse
  504.    wt: 1:   11 arctan left inverse of tangent Graph
  505.    wt: 1:   10 arctan left inverse of tangent Definition
  506.    wt: 1:   8 arcsin left inverse of sine Graph
  507.    wt: 1:   7 arcsin left inverse of sine Definition
  508.    wt: 1:   6 Graph of arccos function
  509.    wt: 1:   3 Left Inverse of cosine arccos definition
  510.    wt: 1:   7 Radian Measures in special Triangles
  511.    wt: 1:   6 Radian Measure to Degrees
  512.    wt: 1:   5 Degrees to Radian Measure
  513.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  514.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  515.    wt: 1:   A Global Time and Navigation
  516.    wt: 1:   15 Dot and Cross Product
  517.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  518.    wt: 1:   4 graphing y=Asin(x c)
  519.    wt: 1:   3 graphing y=f(x c) plus K
  520.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  521.    wt: 1:   1 graphing y=f(x a)
  522.    wt: 1:   Triangle Angles Sum To 180 Degrees
  523.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  524.    wt: 1:   Straight Lines ASA Intersection Study More
  525.    wt: 1:   Straight Lines ASA Intersection Study
  526.    wt: 1:   Straight Lines Instersection Solving Equations
  527.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  528.    wt: 1:   C Straight Lines Slope from Coordinates
  529.    wt: 1:   B Straight Line Slope Scaling Properties More
  530.    wt: 1:   A Straight Line Slope Scaling Properties
  531.    wt: 1:   14 Straight Lines Equations General Case
  532.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  533.    wt: 1:   12 Straight Lines Graphing mx plus b
  534.    wt: 1:   11 Straight Lines Graphing y=mx
  535.    wt: 1:   10 Straight Lines through Origin Equations More
  536.    wt: 1:   9 Straight Lines through Origin Equations
  537.    wt: 1:   8 Straight Lines Equation for vertical
  538.    wt: 1:   7 Tangent Function is odd on this domain
  539.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  540.    wt: 1:   5 Tangent Function Graph
  541.    wt: 1:   4 Tangent Function Properties
  542.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  543.    wt: 1:   1 Straight Lines Slope Concept
  544.    wt: 1:   32 seven rows of pascals triangle
  545.    wt: 1:   30 unit circle calculation of six trigonometric functions
  546.    wt: 1:   29 secant cosecant and cotangent for acute angles
  547.    wt: 1:   28 Expressing products of sines cosines as sums
  548.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  549.    wt: 1:   21 sine and cosine Half Angle Formulas
  550.    wt: 1:   20 sine and cosine Double Angle Formulas
  551.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  552.    wt: 1:   18 sum of sinusoidal waves as a single wave
  553.    wt: 1:   17F Law of cosines
  554.    wt: 1:   17E Trig Formulas for dot and cross Products
  555.    wt: 1:   17D cis formulas for sine cosines and tangent
  556.    wt: 1:   17C sine and cosine double triple angle formulas
  557.    wt: 1:   17A The complex number valued trig function cis
  558.    wt: 1:   13 Graph of tangent function many periods
  559.    wt: 1:   12 Graph of tangent function for one period
  560.    wt: 1:   8 period of tangent function
  561.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  562.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  563.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  564.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  565.    wt: 1:   Unit Circle Development of Trigonometry
  566.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  567.    wt: 1:   15 Pythagorean Theorem Converse
  568.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  569.    wt: 1:   7 Second Way to Calculate Products
  570.    wt: 1:   4 Multiplication Properties
  571.    wt: 1:   3 Addition Properties
  572.    wt: 1:   1 Rectangular Polar Coordinates Review
  573.    wt: 1:   8 Triangles Cascade Problem Solving
  574.    wt: 1:   1 Angle Measurement with Degrees
  575.    wt: 1:   Why Trigonometry the whyslopes view
  576.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  577.    wt: 1:   9 Similarity of Triangles Usual Criteria
  578.    wt: 1:   1 Early Concept of Like or Similar Shapes
  579.    wt: 1:   Four Simple Exercises
  580.    wt: 1:   12 Links Lessons elsewhere
  581.    wt: 1:   11 A Partial Summary
  582.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  583.    wt: 1:   8 Mid Point Formula
  584.    wt: 1:   4 Equations for lines three forms
  585.    wt: 1:   3 Slope product for perpendicular lines
  586.    wt: 1:   2 point slope equation for a line
  587.    wt: 1:   13 Pythagorean spatial distance formulas
  588.    wt: 1:   12 Spatial Coordinates
  589.    wt: 1:   11 Triangle Inequality
  590.    wt: 1:   10 Pythagorean plane distance formula
  591.    wt: 1:   8 Distance Between Points on a Line
  592.    wt: 1:   3 Rectangular Coordinates Review
  593.    wt: 1:   2 Cartesian Coordinates with signs
  594.    wt: 1:   1 Cartesian Coordinates sans signs
  595.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  596.    wt: 1:   PS G Rotation Distributes over Addition
  597.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  598.    wt: 1:   PS E Multiplication with Polar Coordinates
  599.    wt: 1:   PS D Addition with Cartesian Coordinates
  600.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  601.    wt: 1:   PS B Parallelogram Construction Methods
  602.    wt: 1:   PS A Kite Construction Methods
  603.    wt: 1:   21 Parallelograms
  604.    wt: 1:   19 Right Triangle Similarity
  605.    wt: 1:   18 Triangle Similarity Take 1
  606.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  607.    wt: 1:   14 Parallel Lines Postulate
  608.    wt: 1:   13 Angle Side Angle Failure
  609.    wt: 1:   12 Side Angle Side Failure
  610.    wt: 1:   11 Triangle Construction Fails
  611.    wt: 1:   10 Dropping a perpendicular to line
  612.    wt: 1:   8 Isoceles Triangles
  613.    wt: 1:   7 Angle Side Angle
  614.    wt: 1:   5 Side Angle Side
  615.    wt: 1:   4 Side Side Side
  616.    wt: 1:   2 Correspondence between Triangles
  617.    wt: 1:   Short Course on Euclidean Geometry
  618.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  619.    wt: 1:   26 More Less Greater Than Comparison
  620.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  621.    wt: 1:   23 Distributive Law Two Derivations
  622.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  623.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  624.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  625.    wt: 1:   15 Head to Tails in place Addition Associative
  626.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  627.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  628.    wt: 1:   2 Counting Digits in Decimal Multiplication
  629.    wt: 1:   4 Fraction Operations Axiomatic Development
  630.    wt: 1:   3 Inequalities Algebraically
  631.    wt: 1:   2 Fraction Operations Physical Development
  632.    wt: 1:   3 Proportionality Examples
  633.    wt: 1:   2 Algebraic View
  634.    wt: 1:   1 What is Proportionality
  635.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  636.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  637.    wt: 1:   6 Compound Interest Forward and Backwards
  638.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  639.    wt: 1:   5 Equality in Algebra
  640.    wt: 1:   3 Product Axioms Two Forms
  641.    wt: 1:   1 Equivalent Computation Rules
  642.    wt: 1:   5 Greater More Less Than Signs in General
  643.    wt: 1:   9 Coordinates for Regions in Space
  644.    wt: 1:   2 Integers
  645.    wt: 1:   5 Independent versus Dependent Variables
  646.    wt: 1:   4 Changing Letters
  647.    wt: 1:   2 Computation Rules Evaluation
  648.    wt: 1:   3 GE III Equation Addition and Multiplication
  649.    wt: 1:   6 Algebraic Solution Example
  650.    wt: 1:   11 Volume of Sphere
  651.    wt: 1:   10 Volume of Pyramid
  652.    wt: 1:   9 Volume of Cone
  653.    wt: 1:   1 Written work formats for developing and showing skill
  654.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  655.    wt: 1:   9 Sets in Probability and Statistics
  656.    wt: 1:   6 Three Notions of What is a Variable
  657.    wt: 1:   1 Three Skills For Algebra
  658.    wt: 1:   014 Counting Days with Calendars
  659.    wt: 1:   013 Travel Time Tables
  660.    wt: 1:   6 How long is a million seconds
  661.    wt: 1:   5 Conversion Arithmetic
  662.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  663.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  664.    wt: 1:   Example 3
  665.    wt: 1:   Example 2
  666.    wt: 1:   Example 1
  667.    wt: 1:   Area Between Curves Lesson Take 2
  668.    wt: 1:   Area Between Curves Lesson Take 1
  669.    wt: 1:   Summary
  670.    wt: 1:   34 Derivative of exponential function
  671.    wt: 1:   31 Derivatives of inverse functions
  672.    wt: 1:   30Chain Rule A Proof
  673.    wt: 1:   28 Chain Rule Preparation for a Proof
  674.    wt: 1:   15 sine and cosine derivatives 3rd step
  675.    wt: 1:   14 sine and cosine derivatives 2nd step
  676.    wt: 1:   13 sine and cosine derivatives 1st step
  677.    wt: 1:   8 Differentiation of polynomials
  678.    wt: 1:   11 Limits at infinity Three Examples
  679.    wt: 1:   10 Three one sided limits with infinite values
  680.    wt: 1:   8 Four Animated Examples
  681.    wt: 1:   7 Evaluation by immediate or delayed substitution
  682.    wt: 1:   6 Continuity at a point
  683.    wt: 1:   4 Numerical properties
  684.    wt: 1:   3 Decimal insights for limits continuity convergence
  685.    wt: 1:   2 Algebraic codification
  686.    wt: 1:   1 Numerical introduction
  687.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  688.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  689.    wt: 1:   G.3 Constant Difference Theorem Proof
  690.    wt: 1:   E2 Algebraic Properties of Limits
  691.    wt: 1:   D2 Limits of Monotone Sequences
  692.    wt: 1:   PostScript For and Against Decimal Perspectives
  693.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  694.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  695.    wt: 1:   Chapter 22 Complex Numbers
  696.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  697.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  698.    wt: 1:   Chapter 12. Units and Slopes
  699.    wt: 1:   Chapter 10 Slopes and Units
  700.    wt: 1:   Chapter 7 Slopes and Velocity
  701.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  702.    wt: 1:   Chapter 2. Slopes and Ski Trails
  703.    wt: 1:   Postscript More on Better Performance
  704.    wt: 1:   Postscript For Better Performance
  705.    wt: 1:   Appendix C. How to Read
  706.    wt: 1:   Appendix B. How To Learn
  707.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  708.    wt: 1:   Chapter 30 Truth Tables
  709.    wt: 1:   Chapter 28 Occurrence Tables
  710.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  711.    wt: 1:   Chapter 25. Mathematical Induction Examples
  712.    wt: 1:   Chapter 23. Notation For Sums
  713.    wt: 1:   Chapter 21. Third Reading Guide
  714.    wt: 1:   Chapter 18. Rules for Algebra
  715.    wt: 1:   Chapter 16. Painless Theorem Proving
  716.    wt: 1:   Chapter 15. Solving Linear Equations
  717.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  718.    wt: 1:   Chapter 13. Second Reading Guide
  719.    wt: 1:   Postscript What is a Variable
  720.    wt: 1:   Solutions For Arithmetic Exercises
  721.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  722.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  723.    wt: 1:   Foreword
  724.    wt: 1:   Chapter 7 Two Treatments of Geometry
  725.    wt: 1:   Chapter 2 For and Against Mathematics
  726.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  727.    wt: 1:   Postscript B More on Story Telling and Reason
  728.    wt: 1:   Chapter 24 Direct and Indirect Reason
  729.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  730.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  731.    wt: 1:   Chapter 18 Sense and Knowledge
  732.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  733.    wt: 1:   Chapter 8 Change of Language
  734.    wt: 1:   Chapter 7 Longer Chains of Reason
  735.    wt: 1:   Chapter 6 Chains of Reason
  736.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  737.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  738.    wt: 1:   S Adding words to algebra
  739.    wt: 1:   N Mathematics Prepare for College Studies
  740.    wt: 1:   M Words to extend arithmetic
  741.    wt: 1:   H more Routine to non routine problem solving
  742.    wt: 1:   F. The student teacher tutor feedback loop
  743.    wt: 1:   D. Check work a must with a caution
  744.    wt: 1:   A. Skill has to be seen to believed
  745.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  746.    wt: 1:   Chapter 8 Skipped Topics and Why
  747.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  748.    wt: 1:   Chapter 6 More Algebra and Geometry
  749.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  750.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  751.    wt: 1:   Helping the Blind in Logic and Mathematics
  752.    wt: 1:   More Algebra and Slope based Calculus Preview
  753.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  754.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  755.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  756.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  757.    wt: 1:   The Math Forum and Site Content
  758.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  759.    wt: 12:   B Fractions and Two Term Ratios
  760.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  761.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  762.    wt: 12:   9 Improper Fractions and Mixed Numbers
  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:   5 Reciprocals and Division for Fractions with Units
  768.    wt: 10:   D Three Term Ratios
  769.    wt: 10:   22 Complex Compound Fractions
  770.    wt: 10:   20 Dividing Fractions the Why
  771.    wt: 10:   19 Dividing Fractions How TO
  772.    wt: 10:   17 Efficient Ways to Add and Subtract
  773.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  774.    wt: 10:   14 Adding and Subtracting with Like Denominators
  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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