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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45 matches:

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

Web Page Search

421 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   11 Signed Number Addition and Addition Properties
  3.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 4:   1 Addition and Subtraction with Units
  5.    wt: 4:   6. Counting and adding units and mixed units
  6.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  7.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  8.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  9.    wt: 3:   13 Addition and Addition Tables
  10.    wt: 3:   2 Combing Counts Addition Skills and Principles
  11.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  12.    wt: 3:   6 Simplification of Fractions with Units
  13.    wt: 3:   4 Fractions with Units
  14.    wt: 3:   3 Multiplying Units and Numbers
  15.    wt: 3:   B Fractions and Two Term Ratios
  16.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  17.    wt: 3:   9 Improper Fractions and Mixed Numbers
  18.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  19.    wt: 2:   Ramblings Extrinsic numbers theory
  20.    wt: 2:   2 arithmetic with signed numbers
  21.    wt: 2:   1 arithmetic with unsigned numbers
  22.    wt: 2:   2 Reading and Writing Skills
  23.    wt: 2:   Ages 12 to 14 Skills with take home value
  24.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  25.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  26.    wt: 2:   Vector and Complex Number Applet
  27.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  28.    wt: 2:   14 cosine even and sine and tangent are odd
  29.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  30.    wt: 2:   3 Trigonometric Ratios sine and cosine
  31.    wt: 2:   5 Cartesian Addition and Translation
  32.    wt: 2:   PS D Addition with Cartesian Coordinates
  33.    wt: 2:   3 Lengths and Areas on Maps and Plans
  34.    wt: 2:   8 Division and Mulplication of Compound Fractions
  35.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  36.    wt: 2:   1 Fractions with Finite Decimal Expansions
  37.    wt: 2:   4 Rates Ratios and Proporitionality
  38.    wt: 2:   2 Addition and Multiplication Axioms
  39.    wt: 2:   3 More and Less Than with Unlike Signs
  40.    wt: 2:   2 More and Less Than for Counts and Measures
  41.    wt: 2:   11 Real Number Addition
  42.    wt: 2:   10 Real Number Lengths and Signs
  43.    wt: 2:   1 Whole and Natural Numbers
  44.    wt: 2:   3 GE III Equation Addition and Multiplication
  45.    wt: 2:   5 Talking about Numbers and Quantities
  46.    wt: 2:   4 A Brief Story of numbers and algebra
  47.    wt: 2:   2 More and Less Than with Unlike Signs
  48.    wt: 2:   1 More and Less Than for Counts and Measures
  49.    wt: 2:   3 Counting with Tables and Trees II
  50.    wt: 2:   2 Counting with Tables and Trees I
  51.    wt: 2:   11 What are real lengths and numbers
  52.    wt: 2:   5 lengths and signs of numbers
  53.    wt: 2:   2 signed and unsigned numbers as coordinates
  54.    wt: 2:   2 Equality and Units
  55.    wt: 2:   21 Reciprocals for Fractions and Wholes
  56.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  57.    wt: 2:   14 Adding and Subtracting with Like Denominators
  58.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  59.    wt: 2:   Division with Counts and Length
  60.    wt: 2:   8 Subtraction with Units of Measure
  61.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  62.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  63.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  64.    wt: 2:   8 What skills and work habits to require
  65.    wt: 2:   4. How to add with decimals B with conversions
  66.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  67.    wt: 2:   Quick history of numbers and algebra
  68.    wt: 2:   Exact Arithmetic Wholes and Fractions
  69.    wt: 2:   4 Mixing and Changing Units of Time
  70.    wt: 2:   3 Units and Lengths of Time
  71.    wt: 2:   38 Formulas and derivatives for powers and roots
  72.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  73.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  74.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  75.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  76.    wt: 2:   Chapter 12. Units and Slopes
  77.    wt: 2:   Chapter 10 Slopes and Units
  78.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  79.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  80.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  81.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  82.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  83.    wt: 2:   L Skills with take home value
  84.    wt: 2:   I. Logic and language skills
  85.    wt: 2:   How to Build Skills and Confidence
  86.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  87.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  88.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  89.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  90.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  91.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  92.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  93.    wt: 1:   Appendix 1 primary and preschool mathematic
  94.    wt: 1:   G LAMP Introduction Problem Solving Skills
  95.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  96.    wt: 1:   Skills Chapter 5 Calculus
  97.    wt: 1:   Skills Chapter 4 Logic
  98.    wt: 1:   Skills Chapter 3 Algebra
  99.    wt: 1:   Skills Chapter 2 Geometry
  100.    wt: 1:   Skills Chapter 1 Arithmetic
  101.    wt: 1:   Skills Chapter 0 Introduction
  102.    wt: 1:   7 logic review and decimals an odd combination
  103.    wt: 1:   5 logarithms and exponentials etc
  104.    wt: 1:   key notes and themes
  105.    wt: 1:   what should be learnt and When
  106.    wt: 1:   the trouble with algebra
  107.    wt: 1:   standards for course material
  108.    wt: 1:   Theory of Knowledge
  109.    wt: 1:   Education in mathematics science and technology
  110.    wt: 1:   Motivation and Context Problem
  111.    wt: 1:   fairness and inductive principles for instruction
  112.    wt: 1:   Home Tutoring and Home Schooling
  113.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  114.    wt: 1:   24 Standards For Skill Develoment Take II
  115.    wt: 1:   24 Standards For Skill Develoment
  116.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  117.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  118.    wt: 1:   17 Math Booklets for children and young teenagers
  119.    wt: 1:   14 Multiplication and Times Tables
  120.    wt: 1:   12 Goals and Objectives For Mathematics
  121.    wt: 1:   11 Help and Defend Your Child or Teens Education
  122.    wt: 1:   5 Patience Please for Yourself and Your Charges
  123.    wt: 1:   4 Learning Takes Time and Effort
  124.    wt: 1:   1 Speaking Skills
  125.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  126.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  127.    wt: 1:   26 Function definitions done and coming
  128.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  129.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  130.    wt: 1:   19 Horizontal line rule and method
  131.    wt: 1:   18 Vertical Line Rule and Method
  132.    wt: 1:   17 Function maxima minima and their location
  133.    wt: 1:   11 Function Domain Range Source and Targets
  134.    wt: 1:   9 Set theory term relation possible origins
  135.    wt: 1:   8 Set view of relations and functions
  136.    wt: 1:   7 Functions with finite domains
  137.    wt: 1:   6 Set Existence Formation and Notation
  138.    wt: 1:   4 Function notation in and beyond mathematics
  139.    wt: 1:   9 quadratics physical and further context
  140.    wt: 1:   11 Growth and Decay in Biology
  141.    wt: 1:   10 Exponential Growth and Decay Models
  142.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  143.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  144.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  145.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  146.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  147.    wt: 1:   3 Polynomials Multiplication Addition
  148.    wt: 1:   16 cotangent function Definition Graph and Inverse
  149.    wt: 1:   15 cosecant function Definition Graph and Inverse
  150.    wt: 1:   14 secant function Definition Graph and Inverse
  151.    wt: 1:   13 cosecant function Definition Graph and Inverse
  152.    wt: 1:   9 Summary Degrees to Radians and back
  153.    wt: 1:   1 Degrees and Radians Introduction
  154.    wt: 1:   A Global Time and Navigation
  155.    wt: 1:   15 Dot and Cross Product
  156.    wt: 1:   10 Parallelogram Addition Method
  157.    wt: 1:   6 Vectors with Coordinates
  158.    wt: 1:   5 Head To Tail Arrow Addition
  159.    wt: 1:   3 Navigation with Arrows or Vectors
  160.    wt: 1:   Parallel Lines and Parallel Transversals
  161.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  162.    wt: 1:   Parallel Lines and Interior Angles
  163.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  164.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  165.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  166.    wt: 1:   29 secant cosecant and cotangent for acute angles
  167.    wt: 1:   27 Logarithmic use of products of sines and cosines
  168.    wt: 1:   26 Formulas for products of sines and cosines
  169.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  170.    wt: 1:   21 sine and cosine Half Angle Formulas
  171.    wt: 1:   20 sine and cosine Double Angle Formulas
  172.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  173.    wt: 1:   17E Trig Formulas for dot and cross Products
  174.    wt: 1:   17D cis formulas for sine cosines and tangent
  175.    wt: 1:   17C sine and cosine double triple angle formulas
  176.    wt: 1:   17A The complex number valued trig function cis
  177.    wt: 1:   10 Graphs of sines and cosines many periods
  178.    wt: 1:   9 Graphs of sine and cosine over one period
  179.    wt: 1:   7 period of sine and cosine
  180.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  181.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  182.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  183.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  184.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  185.    wt: 1:   21 Logarithms Powers and Exponentials
  186.    wt: 1:   20 N th Roots of Complex Numbers
  187.    wt: 1:   16 References and Originality Question
  188.    wt: 1:   13 Trig Formulas for dot and cross Products
  189.    wt: 1:   12 cis formulas for sine cosines and tangent
  190.    wt: 1:   11 sine and cosine double triple angle formulas
  191.    wt: 1:   9 The complex number valued trig function cis
  192.    wt: 1:   6 Field Properties of Complex Number
  193.    wt: 1:   3 Addition Properties
  194.    wt: 1:   2 Complex Numbers made easier we hope
  195.    wt: 1:   Appetizer A Complex Number Applet
  196.    wt: 1:   7 Trignometric Ratios Unit Circle
  197.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  198.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  199.    wt: 1:   1 Angle Measurement with Degrees
  200.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  201.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  202.    wt: 1:   8 Similarity of Triangles and Polygons
  203.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  204.    wt: 1:   4 Similarity Definition with Coordinate
  205.    wt: 1:   3 Similarity by Design with coordinates
  206.    wt: 1:   10 Midpoint of [a b] and [b a]
  207.    wt: 1:   7 Exercises to test skill and concept mastery
  208.    wt: 1:   1 Numerical view of lines and their equations
  209.    wt: 1:   What is and is not here
  210.    wt: 1:   7 Complex Numbers Appetizer
  211.    wt: 1:   6 Polar Multiplication and Rotation
  212.    wt: 1:   4 Polar Coordinates to and from
  213.    wt: 1:   2 Cartesian Coordinates with signs
  214.    wt: 1:   PS H Distributive Law For Complex Numbers
  215.    wt: 1:   PS G Rotation Distributes over Addition
  216.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  217.    wt: 1:   PS E Multiplication with Polar Coordinates
  218.    wt: 1:   16 Angles Subtended By Chords and Diameters
  219.    wt: 1:   6 Ruler and compass Angle Bisection
  220.    wt: 1:   1 Initial Concepts and Terms
  221.    wt: 1:   A Measurement with Ruler Proper Use
  222.    wt: 1:   6 Figuring with Maps Not to Scale
  223.    wt: 1:   musings do not puiblish real numbers
  224.    wt: 1:   A Modular and Remainder Arithmetic
  225.    wt: 1:   A Signed Number Arithmetic Review
  226.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  227.    wt: 1:   22 Multiplication of Signed Numbers
  228.    wt: 1:   21 Addition of Multiples of a Single Vector
  229.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  230.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  231.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  232.    wt: 1:   15 Head to Tails in place Addition Associative
  233.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  234.    wt: 1:   13 Arrows and Vectors in a Plane
  235.    wt: 1:   12 Real Numbers Line Signed Coordinates
  236.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  237.    wt: 1:   9 Division with Digits after Decimal Point
  238.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  239.    wt: 1:   4 Location of Point in Decimal Addition
  240.    wt: 1:   B Decimal Comparison and Subtraction
  241.    wt: 1:   A Decimal Addition Columm Methods
  242.    wt: 1:   5 Distributive Law for Whole Numbers
  243.    wt: 1:   3 Multiplicative Counting Skills Principles
  244.    wt: 1:   1 The Counting Origins of Numbers
  245.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  246.    wt: 1:   5 Proportionality in Equivalent Fractions
  247.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  248.    wt: 1:   6 Compound Interest Forward and Backwards
  249.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  250.    wt: 1:   6 Equations and Systems Equivalent or Implied
  251.    wt: 1:   4 Subtraction and Division Axioms
  252.    wt: 1:   4 Comparison of Negative Numbers
  253.    wt: 1:   1 Real Numbers Comparison
  254.    wt: 1:   16 Real Numbers Comparison
  255.    wt: 1:   15 Real Number Division
  256.    wt: 1:   14 Real Number Multiplication
  257.    wt: 1:   13 Real Number Subtraction
  258.    wt: 1:   12 Real Number Additive Inverses or Negatives
  259.    wt: 1:   8 Coordinates for Maps and Planes
  260.    wt: 1:   7 Real Numbers as Line Cordinates
  261.    wt: 1:   6 Unsigned Real Numbers
  262.    wt: 1:   5 Rational Numbers More
  263.    wt: 1:   4 Rational Numbers
  264.    wt: 1:   3 Fractions
  265.    wt: 1:   3 Geometric Formulas and Function Notation
  266.    wt: 1:   1 Formulas Dependence and Function Notation
  267.    wt: 1:   2 Essentially one exercises three with solution
  268.    wt: 1:   13 Naming Identifying Formulas with Words
  269.    wt: 1:   1 Written work formats for developing and showing skill
  270.    wt: 1:   9 Sets in Probability and Statistics
  271.    wt: 1:   8 Sets of Numbers
  272.    wt: 1:   3 Counting with Sets etc
  273.    wt: 1:   1 Three Skills For Algebra
  274.    wt: 1:   3 Comparison of Negative Numbers
  275.    wt: 1:   5 Square Roots with primes more still
  276.    wt: 1:   4 Square Roots with primes more
  277.    wt: 1:   3 Properties of Square Roots with example
  278.    wt: 1:   2 Square Roots with Prime
  279.    wt: 1:   1 Squares and Square Roots Introduction
  280.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  281.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  282.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  283.    wt: 1:   7 GCD and LCM from prime factorization
  284.    wt: 1:   4 LCM of 8 and 10 via Prime
  285.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  286.    wt: 1:   4 Counting with Trees Product Rule Take I
  287.    wt: 1:   1 Counting and Counting Methods I
  288.    wt: 1:   10 dividing signed numbers
  289.    wt: 1:   9 subtracting signed numbers
  290.    wt: 1:   8 multiplying signed numbers
  291.    wt: 1:   7 negative and additive inverse
  292.    wt: 1:   6 adding signed numbers
  293.    wt: 1:   3 signed coordinates for maps and planes
  294.    wt: 1:   7 Converting or Changing Units
  295.    wt: 1:   D Three Term Ratios
  296.    wt: 1:   22 Complex Compound Fractions
  297.    wt: 1:   21 Working With Signs
  298.    wt: 1:   20 Dividing Fractions the Why
  299.    wt: 1:   19 Dividing Fractions How TO
  300.    wt: 1:   17 Efficient Ways to Add and Subtract
  301.    wt: 1:   16 Addition Subtraction Comparision Compared
  302.    wt: 1:   6 Multiplication of Mixed Numbers
  303.    wt: 1:   5 Equivalent Fractions
  304.    wt: 1:   13 Subtraction with Additive Inverse
  305.    wt: 1:   11 Adding Integers Formulas and Examples
  306.    wt: 1:   8 Multiplication by Signed Numbers Integers
  307.    wt: 1:   6 Multiplication by Natural Numbers
  308.    wt: 1:   5 Zero Movement and Additive Inverses
  309.    wt: 1:   3 Adding Movements with same direction
  310.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  311.    wt: 1:   17 Identify and Count Factors using Primes
  312.    wt: 1:   12 LCD GCD and LCM using Primes
  313.    wt: 1:   7 Calculator Usage Notes and Cautions
  314.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  315.    wt: 1:   5 Prime Factorization and a Square Rule
  316.    wt: 1:   3 video Primes and Composites from 9 times table
  317.    wt: 1:   2 Prime and Composites less than 16
  318.    wt: 1:   Long Division forwards and backwards Example 3
  319.    wt: 1:   Long Division forwards and backwards Example 2
  320.    wt: 1:   Long Division forwards and backwards Example 1
  321.    wt: 1:   10 Division by Five Long and Short Ways
  322.    wt: 1:   4 Division with 2 Digit Divsors
  323.    wt: 1:   2 Division with Single Digit Divisors
  324.    wt: 1:   C Counting Areas with Powers of Ten
  325.    wt: 1:   4 Two and Three Digit Multipliers
  326.    wt: 1:   Subtraction with J Conversions Example
  327.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  328.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  329.    wt: 1:   7 Adding decimal fractions using decimal point
  330.    wt: 1:   3. How to add with decimals A sans conversions
  331.    wt: 1:   1. Explaining Addition Table
  332.    wt: 1:   11 Place Value SI Standard International way
  333.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  334.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  335.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  336.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  337.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  338.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  339.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  340.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  341.    wt: 1:   016 Numbering Occidental Calendar Days
  342.    wt: 1:   015 School and work day counting tables
  343.    wt: 1:   014 Counting Days with Calendars
  344.    wt: 1:   011 Division of Time Intervals By Numbers
  345.    wt: 1:   010 Repeated Addition of Time Intervals
  346.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  347.    wt: 1:   8 Addition of Time Intervals via subtotaling
  348.    wt: 1:   7 Addition of Time Intervals
  349.    wt: 1:   2 Time and Date Matters in School
  350.    wt: 1:   1 Intro of Kids To Time Date Skills
  351.    wt: 1:   Example 1. Area Between x and x squared
  352.    wt: 1:   Example 4 with x function of y
  353.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  354.    wt: 1:   17 Derivatives of quotients of sine and cosine
  355.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  356.    wt: 1:   15 sine and cosine derivatives 3rd step
  357.    wt: 1:   14 sine and cosine derivatives 2nd step
  358.    wt: 1:   13 sine and cosine derivatives 1st step
  359.    wt: 1:   10 Three one sided limits with infinite values
  360.    wt: 1:   9 Limits Continuity and Composition
  361.    wt: 1:   5 Jumps and absence of unlimited error control
  362.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  363.    wt: 1:   G.5 Motions With Bounded Velocities
  364.    wt: 1:   PostScript For and Against Decimal Perspectives
  365.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  366.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  367.    wt: 1:   Chapter 22 Complex Numbers
  368.    wt: 1:   Chapter 21 Arrow Addition
  369.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  370.    wt: 1:   Chapter 7 Slopes and Velocity
  371.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  372.    wt: 1:   Chapter 2. Slopes and Ski Trails
  373.    wt: 1:   Appendix E. How To Study Mathematics and Why
  374.    wt: 1:   Appendix D. What to do in School and Why
  375.    wt: 1:   Chapter 31 Direct and Indirect Reason
  376.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  377.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  378.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  379.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  380.    wt: 1:   Chapter 20. Degrees and Radians
  381.    wt: 1:   Chapter 19. Functions and Sets
  382.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  383.    wt: 1:   Chapter 12. Shorthand Usage Guide
  384.    wt: 1:   Chapter 11. Why Shorthand
  385.    wt: 1:   Chapter 10 Describing and Changing Calculations
  386.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  387.    wt: 1:   Chapter 8 Three Skills For Algebra
  388.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  389.    wt: 1:   Chapter 2 For and Against Mathematics
  390.    wt: 1:   Postscript B More on Story Telling and Reason
  391.    wt: 1:   Chapter 24 Direct and Indirect Reason
  392.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  393.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  394.    wt: 1:   Chapter 18 Sense and Knowledge
  395.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  396.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  397.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  398.    wt: 1:   R Why Learn Mathematics Skills
  399.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  400.    wt: 1:   O On Learning Mathematics and Science
  401.    wt: 1:   N Improving Marks on Tests and Finals
  402.    wt: 1:   J. More on written work and showing skill
  403.    wt: 1:   H Jigsaw puzzles and problem solving
  404.    wt: 1:   G. Written work formats for developing and showing skill
  405.    wt: 1:   E. When and how to correct errors
  406.    wt: 1:   D. Check work a must with a caution
  407.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  408.    wt: 1:   Chapter 8 Skipped Topics and Why
  409.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  410.    wt: 1:   Chapter 6 More Algebra and Geometry
  411.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  412.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  413.    wt: 1:   7 Games and Activities for Instruction
  414.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  415.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  416.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  417.    wt: 1:   Helping the Blind in Logic and Mathematics
  418.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  419.    wt: 1:   More Algebra and Slope based Calculus Preview
  420.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  421.    wt: 1:   The Math Forum and Site Content

Extended Search

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

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.

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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
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What is a Variable - best for ages 13+
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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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