Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 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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44 matches:

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

Web Page Search

447 matches:

  1.    wt: 5:   7 Arithmetic with Infinite Decimal Expansions
  2.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  3.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  4.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  5.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  6.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 3:   2 arithmetic with signed numbers
  9.    wt: 3:   1 arithmetic with unsigned numbers
  10.    wt: 3:   1 Fractions with Finite Decimal Expansions
  11.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  12.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  13.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  14.    wt: 3:   4. How to add with decimals B with conversions
  15.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  16.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  17.    wt: 2:   Ramblings Extrinsic numbers theory
  18.    wt: 2:   Skills Chapter 1 Arithmetic
  19.    wt: 2:   7 logic review and decimals an odd combination
  20.    wt: 2:   2 Reading and Writing Skills
  21.    wt: 2:   Ages 12 to 14 Skills with take home value
  22.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  23.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  24.    wt: 2:   Vector and Complex Number Applet
  25.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  26.    wt: 2:   14 cosine even and sine and tangent are odd
  27.    wt: 2:   3 Lengths and Areas on Maps and Plans
  28.    wt: 2:   A Modular and Remainder Arithmetic
  29.    wt: 2:   A Signed Number Arithmetic Review
  30.    wt: 2:   11 Signed Number Addition and Addition Properties
  31.    wt: 2:   9 Division with Digits after Decimal Point
  32.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  33.    wt: 2:   B Decimal Comparison and Subtraction
  34.    wt: 2:   2 Combing Counts Addition Skills and Principles
  35.    wt: 2:   3 More and Less Than with Unlike Signs
  36.    wt: 2:   2 More and Less Than for Counts and Measures
  37.    wt: 2:   10 Real Number Lengths and Signs
  38.    wt: 2:   1 Whole and Natural Numbers
  39.    wt: 2:   5 Talking about Numbers and Quantities
  40.    wt: 2:   4 A Brief Story of numbers and algebra
  41.    wt: 2:   2 More and Less Than with Unlike Signs
  42.    wt: 2:   1 More and Less Than for Counts and Measures
  43.    wt: 2:   3 Counting with Tables and Trees II
  44.    wt: 2:   2 Counting with Tables and Trees I
  45.    wt: 2:   11 What are real lengths and numbers
  46.    wt: 2:   5 lengths and signs of numbers
  47.    wt: 2:   2 signed and unsigned numbers as coordinates
  48.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  49.    wt: 2:   3 Multiplying Units and Numbers
  50.    wt: 2:   1 Addition and Subtraction with Units
  51.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  52.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  53.    wt: 2:   14 Adding and Subtracting with Like Denominators
  54.    wt: 2:   9 Improper Fractions and Mixed Numbers
  55.    wt: 2:   Division with Counts and Length
  56.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  57.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  58.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  59.    wt: 2:   8 What skills and work habits to require
  60.    wt: 2:   7 Adding decimal fractions using decimal point
  61.    wt: 2:   6. Counting and adding units and mixed units
  62.    wt: 2:   3. How to add with decimals A sans conversions
  63.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  64.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  65.    wt: 2:   Quick history of numbers and algebra
  66.    wt: 2:   Exact Arithmetic Wholes and Fractions
  67.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  68.    wt: 2:   38 Formulas and derivatives for powers and roots
  69.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  70.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  71.    wt: 2:   10 Three one sided limits with infinite values
  72.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  73.    wt: 2:   PostScript For and Against Decimal Perspectives
  74.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  75.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  76.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  77.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  78.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  79.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  80.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  81.    wt: 2:   L Skills with take home value
  82.    wt: 2:   I. Logic and language skills
  83.    wt: 2:   How to Build Skills and Confidence
  84.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  85.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  86.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  87.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  88.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  89.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  90.    wt: 1:   Appendix 2 primary school Arithmetic 01
  91.    wt: 1:   Appendix 1 primary and preschool mathematic
  92.    wt: 1:   G LAMP Introduction Problem Solving Skills
  93.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  94.    wt: 1:   Skills Chapter 5 Calculus
  95.    wt: 1:   Skills Chapter 4 Logic
  96.    wt: 1:   Skills Chapter 3 Algebra
  97.    wt: 1:   Skills Chapter 2 Geometry
  98.    wt: 1:   Skills Chapter 0 Introduction
  99.    wt: 1:   5 logarithms and exponentials etc
  100.    wt: 1:   key notes and themes
  101.    wt: 1:   what should be learnt and When
  102.    wt: 1:   the trouble with algebra
  103.    wt: 1:   standards for course material
  104.    wt: 1:   Theory of Knowledge
  105.    wt: 1:   Education in mathematics science and technology
  106.    wt: 1:   Motivation and Context Problem
  107.    wt: 1:   fairness and inductive principles for instruction
  108.    wt: 1:   Home Tutoring and Home Schooling
  109.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  110.    wt: 1:   24 Standards For Skill Develoment Take II
  111.    wt: 1:   24 Standards For Skill Develoment
  112.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  113.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  114.    wt: 1:   17 Math Booklets for children and young teenagers
  115.    wt: 1:   14 Multiplication and Times Tables
  116.    wt: 1:   13 Addition and Addition Tables
  117.    wt: 1:   12 Goals and Objectives For Mathematics
  118.    wt: 1:   11 Help and Defend Your Child or Teens Education
  119.    wt: 1:   5 Patience Please for Yourself and Your Charges
  120.    wt: 1:   4 Learning Takes Time and Effort
  121.    wt: 1:   1 Speaking Skills
  122.    wt: 1:   Ages 12 to 14 Arithmetic
  123.    wt: 1:   Ages 10 to 12 Arithmetic
  124.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  125.    wt: 1:   26 Function definitions done and coming
  126.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  127.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  128.    wt: 1:   19 Horizontal line rule and method
  129.    wt: 1:   18 Vertical Line Rule and Method
  130.    wt: 1:   17 Function maxima minima and their location
  131.    wt: 1:   11 Function Domain Range Source and Targets
  132.    wt: 1:   9 Set theory term relation possible origins
  133.    wt: 1:   8 Set view of relations and functions
  134.    wt: 1:   7 Functions with finite domains
  135.    wt: 1:   6 Set Existence Formation and Notation
  136.    wt: 1:   4 Function notation in and beyond mathematics
  137.    wt: 1:   9 quadratics physical and further context
  138.    wt: 1:   11 Growth and Decay in Biology
  139.    wt: 1:   10 Exponential Growth and Decay Models
  140.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  141.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  142.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  143.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  144.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  145.    wt: 1:   16 cotangent function Definition Graph and Inverse
  146.    wt: 1:   15 cosecant function Definition Graph and Inverse
  147.    wt: 1:   14 secant function Definition Graph and Inverse
  148.    wt: 1:   13 cosecant function Definition Graph and Inverse
  149.    wt: 1:   9 Summary Degrees to Radians and back
  150.    wt: 1:   1 Degrees and Radians Introduction
  151.    wt: 1:   A Global Time and Navigation
  152.    wt: 1:   15 Dot and Cross Product
  153.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  154.    wt: 1:   6 Vectors with Coordinates
  155.    wt: 1:   3 Navigation with Arrows or Vectors
  156.    wt: 1:   Parallel Lines and Parallel Transversals
  157.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  158.    wt: 1:   Parallel Lines and Interior Angles
  159.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  160.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  161.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  162.    wt: 1:   29 secant cosecant and cotangent for acute angles
  163.    wt: 1:   27 Logarithmic use of products of sines and cosines
  164.    wt: 1:   26 Formulas for products of sines and cosines
  165.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  166.    wt: 1:   21 sine and cosine Half Angle Formulas
  167.    wt: 1:   20 sine and cosine Double Angle Formulas
  168.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  169.    wt: 1:   17E Trig Formulas for dot and cross Products
  170.    wt: 1:   17D cis formulas for sine cosines and tangent
  171.    wt: 1:   17C sine and cosine double triple angle formulas
  172.    wt: 1:   17A The complex number valued trig function cis
  173.    wt: 1:   10 Graphs of sines and cosines many periods
  174.    wt: 1:   9 Graphs of sine and cosine over one period
  175.    wt: 1:   7 period of sine and cosine
  176.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  177.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  178.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  179.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  180.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  181.    wt: 1:   21 Logarithms Powers and Exponentials
  182.    wt: 1:   20 N th Roots of Complex Numbers
  183.    wt: 1:   16 References and Originality Question
  184.    wt: 1:   13 Trig Formulas for dot and cross Products
  185.    wt: 1:   12 cis formulas for sine cosines and tangent
  186.    wt: 1:   11 sine and cosine double triple angle formulas
  187.    wt: 1:   9 The complex number valued trig function cis
  188.    wt: 1:   6 Field Properties of Complex Number
  189.    wt: 1:   2 Complex Numbers made easier we hope
  190.    wt: 1:   Appetizer A Complex Number Applet
  191.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  192.    wt: 1:   3 Trigonometric Ratios sine and cosine
  193.    wt: 1:   1 Angle Measurement with Degrees
  194.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  195.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  196.    wt: 1:   8 Similarity of Triangles and Polygons
  197.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  198.    wt: 1:   4 Similarity Definition with Coordinate
  199.    wt: 1:   3 Similarity by Design with coordinates
  200.    wt: 1:   10 Midpoint of [a b] and [b a]
  201.    wt: 1:   7 Exercises to test skill and concept mastery
  202.    wt: 1:   1 Numerical view of lines and their equations
  203.    wt: 1:   What is and is not here
  204.    wt: 1:   7 Complex Numbers Appetizer
  205.    wt: 1:   6 Polar Multiplication and Rotation
  206.    wt: 1:   5 Cartesian Addition and Translation
  207.    wt: 1:   4 Polar Coordinates to and from
  208.    wt: 1:   2 Cartesian Coordinates with signs
  209.    wt: 1:   PS H Distributive Law For Complex Numbers
  210.    wt: 1:   PS E Multiplication with Polar Coordinates
  211.    wt: 1:   PS D Addition with Cartesian Coordinates
  212.    wt: 1:   16 Angles Subtended By Chords and Diameters
  213.    wt: 1:   6 Ruler and compass Angle Bisection
  214.    wt: 1:   1 Initial Concepts and Terms
  215.    wt: 1:   A Measurement with Ruler Proper Use
  216.    wt: 1:   6 Figuring with Maps Not to Scale
  217.    wt: 1:   musings do not puiblish real numbers
  218.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  219.    wt: 1:   22 Multiplication of Signed Numbers
  220.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  221.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  222.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  223.    wt: 1:   13 Arrows and Vectors in a Plane
  224.    wt: 1:   12 Real Numbers Line Signed Coordinates
  225.    wt: 1:   8 Division and Mulplication of Compound Fractions
  226.    wt: 1:   4 Location of Point in Decimal Addition
  227.    wt: 1:   3 Location of Point in Decimal Multiplication
  228.    wt: 1:   2 Counting Digits in Decimal Multiplication
  229.    wt: 1:   C Three Decimal Subtraction Methods
  230.    wt: 1:   A Decimal Addition Columm Methods
  231.    wt: 1:   7 Decimals Multiplication Methods Examples
  232.    wt: 1:   6 Column Methods for Decimal Multiplication
  233.    wt: 1:   5 Distributive Law for Whole Numbers
  234.    wt: 1:   3 Multiplicative Counting Skills Principles
  235.    wt: 1:   1 The Counting Origins of Numbers
  236.    wt: 1:   4 Rates Ratios and Proporitionality
  237.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  238.    wt: 1:   6 Compound Interest Forward and Backwards
  239.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  240.    wt: 1:   6 Equations and Systems Equivalent or Implied
  241.    wt: 1:   4 Subtraction and Division Axioms
  242.    wt: 1:   2 Addition and Multiplication Axioms
  243.    wt: 1:   4 Comparison of Negative Numbers
  244.    wt: 1:   1 Real Numbers Comparison
  245.    wt: 1:   16 Real Numbers Comparison
  246.    wt: 1:   15 Real Number Division
  247.    wt: 1:   14 Real Number Multiplication
  248.    wt: 1:   13 Real Number Subtraction
  249.    wt: 1:   12 Real Number Additive Inverses or Negatives
  250.    wt: 1:   11 Real Number Addition
  251.    wt: 1:   8 Coordinates for Maps and Planes
  252.    wt: 1:   7 Real Numbers as Line Cordinates
  253.    wt: 1:   6 Unsigned Real Numbers
  254.    wt: 1:   5 Rational Numbers More
  255.    wt: 1:   4 Rational Numbers
  256.    wt: 1:   3 Geometric Formulas and Function Notation
  257.    wt: 1:   1 Formulas Dependence and Function Notation
  258.    wt: 1:   3 GE III Equation Addition and Multiplication
  259.    wt: 1:   2 Essentially one exercises three with solution
  260.    wt: 1:   13 Naming Identifying Formulas with Words
  261.    wt: 1:   1 Written work formats for developing and showing skill
  262.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  263.    wt: 1:   9 Sets in Probability and Statistics
  264.    wt: 1:   8 Sets of Numbers
  265.    wt: 1:   3 Counting with Sets etc
  266.    wt: 1:   3 Adding Words To Arithmetic
  267.    wt: 1:   1 Three Skills For Algebra
  268.    wt: 1:   arithmetic videos Real Player Format
  269.    wt: 1:   3 Comparison of Negative Numbers
  270.    wt: 1:   5 Square Roots with primes more still
  271.    wt: 1:   4 Square Roots with primes more
  272.    wt: 1:   3 Properties of Square Roots with example
  273.    wt: 1:   2 Square Roots with Prime
  274.    wt: 1:   1 Squares and Square Roots Introduction
  275.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  276.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  277.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  278.    wt: 1:   7 GCD and LCM from prime factorization
  279.    wt: 1:   4 LCM of 8 and 10 via Prime
  280.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  281.    wt: 1:   4 Counting with Trees Product Rule Take I
  282.    wt: 1:   1 Counting and Counting Methods I
  283.    wt: 1:   10 dividing signed numbers
  284.    wt: 1:   9 subtracting signed numbers
  285.    wt: 1:   8 multiplying signed numbers
  286.    wt: 1:   7 negative and additive inverse
  287.    wt: 1:   6 adding signed numbers
  288.    wt: 1:   3 signed coordinates for maps and planes
  289.    wt: 1:   6 Simplification of Fractions with Units
  290.    wt: 1:   4 Fractions with Units
  291.    wt: 1:   2 Equality and Units
  292.    wt: 1:   B Fractions and Two Term Ratios
  293.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  294.    wt: 1:   21 Working With Signs
  295.    wt: 1:   21 Reciprocals for Fractions and Wholes
  296.    wt: 1:   17 Efficient Ways to Add and Subtract
  297.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  298.    wt: 1:   6 Multiplication of Mixed Numbers
  299.    wt: 1:   13 Subtraction with Additive Inverse
  300.    wt: 1:   11 Adding Integers Formulas and Examples
  301.    wt: 1:   8 Multiplication by Signed Numbers Integers
  302.    wt: 1:   6 Multiplication by Natural Numbers
  303.    wt: 1:   5 Zero Movement and Additive Inverses
  304.    wt: 1:   3 Adding Movements with same direction
  305.    wt: 1:   23 Remainder Arithmetic Modulo 2
  306.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  307.    wt: 1:   21 Remainder Arithmetic Modulo 3
  308.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  309.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  310.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  311.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  312.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  313.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  314.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  315.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  316.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  317.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  318.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  319.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  320.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  321.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  322.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  323.    wt: 1:   5 Remainder Arithmetic Modulo 5
  324.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  325.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  326.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  327.    wt: 1:   1 Remainder Arithmetic Modulo 10
  328.    wt: 1:   17 Identify and Count Factors using Primes
  329.    wt: 1:   12 LCD GCD and LCM using Primes
  330.    wt: 1:   7 Calculator Usage Notes and Cautions
  331.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  332.    wt: 1:   5 Prime Factorization and a Square Rule
  333.    wt: 1:   3 video Primes and Composites from 9 times table
  334.    wt: 1:   2 Prime and Composites less than 16
  335.    wt: 1:   Long Division forwards and backwards Example 3
  336.    wt: 1:   Long Division forwards and backwards Example 2
  337.    wt: 1:   Long Division forwards and backwards Example 1
  338.    wt: 1:   10 Division by Five Long and Short Ways
  339.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  340.    wt: 1:   4 Division with 2 Digit Divsors
  341.    wt: 1:   2 Division with Single Digit Divisors
  342.    wt: 1:   D Decimal Multiplication Methods Derived
  343.    wt: 1:   C Counting Areas with Powers of Ten
  344.    wt: 1:   5 Decimal Fraction Multiplication
  345.    wt: 1:   4 Two and Three Digit Multipliers
  346.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  347.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  348.    wt: 1:   Video Power Notation in Decimal Expansion
  349.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  350.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  351.    wt: 1:   Subtraction with J Conversions Example
  352.    wt: 1:   8 Subtraction with Units of Measure
  353.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  354.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  355.    wt: 1:   5. How to add decimals C. Examples
  356.    wt: 1:   2 Decimal Counting Practices
  357.    wt: 1:   11 Place Value SI Standard International way
  358.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  359.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  360.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  361.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  362.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  363.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  364.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  365.    wt: 1:   016 Numbering Occidental Calendar Days
  366.    wt: 1:   015 School and work day counting tables
  367.    wt: 1:   014 Counting Days with Calendars
  368.    wt: 1:   011 Division of Time Intervals By Numbers
  369.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  370.    wt: 1:   5 Conversion Arithmetic
  371.    wt: 1:   4 Mixing and Changing Units of Time
  372.    wt: 1:   3 Units and Lengths of Time
  373.    wt: 1:   2 Time and Date Matters in School
  374.    wt: 1:   1 Intro of Kids To Time Date Skills
  375.    wt: 1:   Example 1. Area Between x and x squared
  376.    wt: 1:   Example 4 with x function of y
  377.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  378.    wt: 1:   17 Derivatives of quotients of sine and cosine
  379.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  380.    wt: 1:   15 sine and cosine derivatives 3rd step
  381.    wt: 1:   14 sine and cosine derivatives 2nd step
  382.    wt: 1:   13 sine and cosine derivatives 1st step
  383.    wt: 1:   9 Limits Continuity and Composition
  384.    wt: 1:   5 Jumps and absence of unlimited error control
  385.    wt: 1:   3 Decimal insights for limits continuity convergence
  386.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  387.    wt: 1:   G.5 Motions With Bounded Velocities
  388.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  389.    wt: 1:   Chapter 22 Complex Numbers
  390.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  391.    wt: 1:   Chapter 12. Units and Slopes
  392.    wt: 1:   Chapter 10 Slopes and Units
  393.    wt: 1:   Chapter 7 Slopes and Velocity
  394.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  395.    wt: 1:   Chapter 2. Slopes and Ski Trails
  396.    wt: 1:   Appendix E. How To Study Mathematics and Why
  397.    wt: 1:   Appendix D. What to do in School and Why
  398.    wt: 1:   Chapter 31 Direct and Indirect Reason
  399.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  400.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  401.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  402.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  403.    wt: 1:   Chapter 20. Degrees and Radians
  404.    wt: 1:   Chapter 19. Functions and Sets
  405.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  406.    wt: 1:   Chapter 12. Shorthand Usage Guide
  407.    wt: 1:   Chapter 11. Why Shorthand
  408.    wt: 1:   Chapter 10 Describing and Changing Calculations
  409.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  410.    wt: 1:   Chapter 8 Three Skills For Algebra
  411.    wt: 1:   Solutions For Arithmetic Exercises
  412.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  413.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  414.    wt: 1:   Chapter 2 For and Against Mathematics
  415.    wt: 1:   Postscript B More on Story Telling and Reason
  416.    wt: 1:   Chapter 24 Direct and Indirect Reason
  417.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  418.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  419.    wt: 1:   Chapter 18 Sense and Knowledge
  420.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  421.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  422.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  423.    wt: 1:   R Why Learn Mathematics Skills
  424.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  425.    wt: 1:   O On Learning Mathematics and Science
  426.    wt: 1:   M Words to extend arithmetic
  427.    wt: 1:   N Improving Marks on Tests and Finals
  428.    wt: 1:   J. More on written work and showing skill
  429.    wt: 1:   H Jigsaw puzzles and problem solving
  430.    wt: 1:   G. Written work formats for developing and showing skill
  431.    wt: 1:   E. When and how to correct errors
  432.    wt: 1:   D. Check work a must with a caution
  433.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  434.    wt: 1:   Chapter 8 Skipped Topics and Why
  435.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  436.    wt: 1:   Chapter 6 More Algebra and Geometry
  437.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  438.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  439.    wt: 1:   Chapter 1 Arithmetic
  440.    wt: 1:   7 Games and Activities for Instruction
  441.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  442.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  443.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  444.    wt: 1:   Helping the Blind in Logic and Mathematics
  445.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  446.    wt: 1:   More Algebra and Slope based Calculus Preview
  447.    wt: 1:   The Math Forum and Site Content

Extended Search

732 matches:

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

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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