Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

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

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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44 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 8:   7 Arithmetic and Fractions with Units/
  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:   1 Working With Sets/
  21.    wt: 2:   Time Date Matters/
  22.    wt: 2:   Skills with take home value/
  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:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

391 matches:

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

Extended Search

721 matches:

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

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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.

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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
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1 Maps + Plans Use
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