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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58 matches:

  1.    wt: 8:   2 Natural Logarithms Exponentials Powers Roots/
  2.    wt: 4:   6 Fractions and Ratios/
  3.    wt: 4:   4 Remainder Arithmetic and Divisibility/
  4.    wt: 3:   4 Functions/
  5.    wt: 3:   4 Lines and Slopes Take 1/
  6.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  7.    wt: 3:   4 Computation Rules and Function Notation/
  8.    wt: 3:   11 Squares and Square Roots/
  9.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  10.    wt: 2:   3 Quadratics Geometrically/
  11.    wt: 2:   1 Five Polynomial Operations/
  12.    wt: 2:   More Algebra/
  13.    wt: 2:   6 Trigonometry first steps/
  14.    wt: 2:   A Origins of Counting and Figuring Methods/
  15.    wt: 2:   10 Examples of Algebraic Reasoning/
  16.    wt: 2:   9 Proportionality Backwards and Forwards/
  17.    wt: 2:   8 Unifying Theme For Algebra/
  18.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  19.    wt: 2:   Step 4 Gaussian Elimination/
  20.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  21.    wt: 2:   Step 1 Stick diagram and fractions/
  22.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  23.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 2:   9 Combinatorics Trees Tables and Products/
  25.    wt: 2:   7 Arithmetic and Fractions with Units/
  26.    wt: 2:   D Decimal Long Division Methods/
  27.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  28.    wt: 2:   A Decimal Counting and Adding Methods/
  29.    wt: 2:   Volume 2 Three Skills For Algebra/
  30.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  31.    wt: 1:   12 Function Translating and Rescaling/
  32.    wt: 1:   11 Parallel Straight Lines and Transversals/
  33.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  34.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  35.    wt: 1:   3 Cartesian and Polar Coordinates/
  36.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  37.    wt: 1:   B Real Numbers Extrinsic Development/
  38.    wt: 1:   5 Real Numbers/
  39.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  40.    wt: 1:   3 Solving Linear Equations/
  41.    wt: 1:   2 Formula Forward Use Evaluation/
  42.    wt: 1:   1 Working With Sets/
  43.    wt: 1:   Algebra Starter Lessons/
  44.    wt: 1:   8 Arithmetic with Signed Numbers/
  45.    wt: 1:   5 Integers/
  46.    wt: 1:   3 Prime Factorization Skills/
  47.    wt: 1:   C Decimal Multiplication Methods/
  48.    wt: 1:   2 Arithmetic with Decimals/
  49.    wt: 1:   1 Decimal Place Value/
  50.    wt: 1:   Arithmetic and Number Theory Skills/
  51.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  52.    wt: 1:   5 Lessons on Integration/
  53.    wt: 1:   4 Lessons on Using Derivatives/
  54.    wt: 1:   13 Lessons on Limits and Continuity/
  55.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  56.    wt: 1:   Work and Study Tips/
  57.    wt: 1:   Resources and Reciprocal Links/
  58.    wt: 1:   Mathematics 506 Lessons/

Web Page Search

320 matches:

  1.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 4:   21 Logarithms Powers and Exponentials
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  5.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  6.    wt: 3:   5 logarithms and exponentials etc
  7.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 2:   chapitre 04 06 engagements
  9.    wt: 2:   chapitre 04 04 Parlons de la logique
  10.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  11.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  12.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  13.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  14.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  15.    wt: 2:   14 cosine even and sine and tangent are odd
  16.    wt: 2:   3 Lengths and Areas on Maps and Plans
  17.    wt: 2:   2 More and Less Than for Counts and Measures
  18.    wt: 2:   1 Whole and Natural Numbers
  19.    wt: 2:   4 A Brief Story of numbers and algebra
  20.    wt: 2:   1 More and Less Than for Counts and Measures
  21.    wt: 2:   1 Squares and Square Roots Introduction
  22.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  23.    wt: 2:   6. Counting and adding units and mixed units
  24.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  25.    wt: 2:   Quick history of numbers and algebra
  26.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  27.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  28.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  29.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  30.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  31.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  32.    wt: 2:   More Algebra and Slope based Calculus Preview
  33.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  34.    wt: 1:   Appendix 1 primary and preschool mathematic
  35.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  36.    wt: 1:   Ramblings Introduction Algebra Essay
  37.    wt: 1:   Skills Chapter 3 Algebra
  38.    wt: 1:   7 logic review and decimals an odd combination
  39.    wt: 1:   4 algebra
  40.    wt: 1:   key notes and themes
  41.    wt: 1:   what should be learnt and When
  42.    wt: 1:   talk the algebra talk
  43.    wt: 1:   geometric implications for algebra
  44.    wt: 1:   teaching tutoring algebraic reason
  45.    wt: 1:   Lessening Algebra Difficulties
  46.    wt: 1:   the trouble with algebra
  47.    wt: 1:   04 29 New Mathematics Curriculum
  48.    wt: 1:   04 25 when to stop or suspend mathemat
  49.    wt: 1:   standards for course material
  50.    wt: 1:   Education in mathematics science and technology
  51.    wt: 1:   Motivation and Context Problem
  52.    wt: 1:   fairness and inductive principles for instruction
  53.    wt: 1:   chapitre 06 00 Chaines de la raison
  54.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  55.    wt: 1:   chapitre 04 09 Regles accidentelles
  56.    wt: 1:   chapitre 04 08 Limitations et benefices
  57.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  58.    wt: 1:   chapitre 04 05 Implication versus suggestion
  59.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  60.    wt: 1:   chapitre 04 02 Deuxieme enigme
  61.    wt: 1:   chapitre 04 01 Premiere enigme
  62.    wt: 1:   chapitre 04 00 Les regles d implication
  63.    wt: 1:   1 Energy Power Heat06
  64.    wt: 1:   D Energy Power04
  65.    wt: 1:   F Wire Resistance Calculation04
  66.    wt: 1:   Home Tutoring and Home Schooling
  67.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  68.    wt: 1:   24 Standards For Skill Develoment Take II
  69.    wt: 1:   24 Standards For Skill Develoment
  70.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  71.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  72.    wt: 1:   17 Math Booklets for children and young teenagers
  73.    wt: 1:   14 Multiplication and Times Tables
  74.    wt: 1:   13 Addition and Addition Tables
  75.    wt: 1:   12 Goals and Objectives For Mathematics
  76.    wt: 1:   11 Help and Defend Your Child or Teens Education
  77.    wt: 1:   5 Patience Please for Yourself and Your Charges
  78.    wt: 1:   4 Learning Takes Time and Effort
  79.    wt: 1:   2 Reading and Writing Skills
  80.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  81.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  82.    wt: 1:   26 Function definitions done and coming
  83.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  84.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  85.    wt: 1:   19 Horizontal line rule and method
  86.    wt: 1:   18 Vertical Line Rule and Method
  87.    wt: 1:   17 Function maxima minima and their location
  88.    wt: 1:   11 Function Domain Range Source and Targets
  89.    wt: 1:   8 Set view of relations and functions
  90.    wt: 1:   6 Set Existence Formation and Notation
  91.    wt: 1:   4 Function notation in and beyond mathematics
  92.    wt: 1:   2 Algebraic use of function notation
  93.    wt: 1:   9 quadratics physical and further context
  94.    wt: 1:   11 Growth and Decay in Biology
  95.    wt: 1:   10 Exponential Growth and Decay Models
  96.    wt: 1:   5 Natural Logarithm Calculator Exercises
  97.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  98.    wt: 1:   Rewriting algebraic substitution as function substitutions
  99.    wt: 1:   16 cotangent function Definition Graph and Inverse
  100.    wt: 1:   15 cosecant function Definition Graph and Inverse
  101.    wt: 1:   14 secant function Definition Graph and Inverse
  102.    wt: 1:   13 cosecant function Definition Graph and Inverse
  103.    wt: 1:   9 Summary Degrees to Radians and back
  104.    wt: 1:   1 Degrees and Radians Introduction
  105.    wt: 1:   A Global Time and Navigation
  106.    wt: 1:   15 Dot and Cross Product
  107.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  108.    wt: 1:   Vector and Complex Number Applet
  109.    wt: 1:   Parallel Lines and Parallel Transversals
  110.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  111.    wt: 1:   Parallel Lines and Interior Angles
  112.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  113.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  115.    wt: 1:   29 secant cosecant and cotangent for acute angles
  116.    wt: 1:   27 Logarithmic use of products of sines and cosines
  117.    wt: 1:   26 Formulas for products of sines and cosines
  118.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  119.    wt: 1:   21 sine and cosine Half Angle Formulas
  120.    wt: 1:   20 sine and cosine Double Angle Formulas
  121.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  122.    wt: 1:   17E Trig Formulas for dot and cross Products
  123.    wt: 1:   17D cis formulas for sine cosines and tangent
  124.    wt: 1:   17C sine and cosine double triple angle formulas
  125.    wt: 1:   10 Graphs of sines and cosines many periods
  126.    wt: 1:   9 Graphs of sine and cosine over one period
  127.    wt: 1:   7 period of sine and cosine
  128.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  129.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  130.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  131.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  132.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  133.    wt: 1:   20 N th Roots of Complex Numbers
  134.    wt: 1:   19 N th Roots of Unity
  135.    wt: 1:   18 Sixth Roots of Unity
  136.    wt: 1:   17 Cube Roots of unity
  137.    wt: 1:   16 References and Originality Question
  138.    wt: 1:   13 Trig Formulas for dot and cross Products
  139.    wt: 1:   12 cis formulas for sine cosines and tangent
  140.    wt: 1:   11 sine and cosine double triple angle formulas
  141.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  142.    wt: 1:   3 Trigonometric Ratios sine and cosine
  143.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  144.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  145.    wt: 1:   8 Similarity of Triangles and Polygons
  146.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  147.    wt: 1:   10 Midpoint of [a b] and [b a]
  148.    wt: 1:   7 Exercises to test skill and concept mastery
  149.    wt: 1:   5 Algebraic View of Slopes
  150.    wt: 1:   1 Numerical view of lines and their equations
  151.    wt: 1:   What is and is not here
  152.    wt: 1:   6 Polar Multiplication and Rotation
  153.    wt: 1:   5 Cartesian Addition and Translation
  154.    wt: 1:   4 Polar Coordinates to and from
  155.    wt: 1:   16 Angles Subtended By Chords and Diameters
  156.    wt: 1:   6 Ruler and compass Angle Bisection
  157.    wt: 1:   1 Initial Concepts and Terms
  158.    wt: 1:   A Modular and Remainder Arithmetic
  159.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  160.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  161.    wt: 1:   13 Arrows and Vectors in a Plane
  162.    wt: 1:   11 Signed Number Addition and Addition Properties
  163.    wt: 1:   8 Division and Mulplication of Compound Fractions
  164.    wt: 1:   B Decimal Comparison and Subtraction
  165.    wt: 1:   2 Combing Counts Addition Skills and Principles
  166.    wt: 1:   3 Inequalities Algebraically
  167.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  168.    wt: 1:   4 Rates Ratios and Proporitionality
  169.    wt: 1:   2 Algebraic View
  170.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  171.    wt: 1:   6 Compound Interest Forward and Backwards
  172.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  173.    wt: 1:   6 Equations and Systems Equivalent or Implied
  174.    wt: 1:   5 Equality in Algebra
  175.    wt: 1:   4 Subtraction and Division Axioms
  176.    wt: 1:   2 Addition and Multiplication Axioms
  177.    wt: 1:   3 More and Less Than with Unlike Signs
  178.    wt: 1:   10 Real Number Lengths and Signs
  179.    wt: 1:   8 Coordinates for Maps and Planes
  180.    wt: 1:   3 Geometric Formulas and Function Notation
  181.    wt: 1:   1 Formulas Dependence and Function Notation
  182.    wt: 1:   3 GE III Equation Addition and Multiplication
  183.    wt: 1:   6 Algebraic Solution Example
  184.    wt: 1:   5 Algebraic Solutions Introduction
  185.    wt: 1:   1 Written work formats for developing and showing skill
  186.    wt: 1:   9 Sets in Probability and Statistics
  187.    wt: 1:   5 Talking about Numbers and Quantities
  188.    wt: 1:   1 Three Skills For Algebra
  189.    wt: 1:   2 More and Less Than with Unlike Signs
  190.    wt: 1:   5 Square Roots with primes more still
  191.    wt: 1:   4 Square Roots with primes more
  192.    wt: 1:   3 Properties of Square Roots with example
  193.    wt: 1:   2 Square Roots with Prime
  194.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  195.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  196.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  197.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  198.    wt: 1:   7 GCD and LCM from prime factorization
  199.    wt: 1:   4 LCM of 8 and 10 via Prime
  200.    wt: 1:   3 Counting with Tables and Trees II
  201.    wt: 1:   2 Counting with Tables and Trees I
  202.    wt: 1:   1 Counting and Counting Methods I
  203.    wt: 1:   11 What are real lengths and numbers
  204.    wt: 1:   7 negative and additive inverse
  205.    wt: 1:   5 lengths and signs of numbers
  206.    wt: 1:   3 signed coordinates for maps and planes
  207.    wt: 1:   2 signed and unsigned numbers as coordinates
  208.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  209.    wt: 1:   3 Multiplying Units and Numbers
  210.    wt: 1:   2 Equality and Units
  211.    wt: 1:   1 Addition and Subtraction with Units
  212.    wt: 1:   B Fractions and Two Term Ratios
  213.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  214.    wt: 1:   21 Reciprocals for Fractions and Wholes
  215.    wt: 1:   17 Efficient Ways to Add and Subtract
  216.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  217.    wt: 1:   14 Adding and Subtracting with Like Denominators
  218.    wt: 1:   13 Fraction Comparison Algebraic View
  219.    wt: 1:   11 Simplification an Algebraic View
  220.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  221.    wt: 1:   9 Improper Fractions and Mixed Numbers
  222.    wt: 1:   6 Multiplication Algebraically Take II
  223.    wt: 1:   11 Adding Integers Formulas and Examples
  224.    wt: 1:   6 Multiplication by Natural Numbers
  225.    wt: 1:   5 Zero Movement and Additive Inverses
  226.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  227.    wt: 1:   17 Identify and Count Factors using Primes
  228.    wt: 1:   12 LCD GCD and LCM using Primes
  229.    wt: 1:   7 Calculator Usage Notes and Cautions
  230.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  231.    wt: 1:   5 Prime Factorization and a Square Rule
  232.    wt: 1:   3 video Primes and Composites from 9 times table
  233.    wt: 1:   2 Prime and Composites less than 16
  234.    wt: 1:   Division with Counts and Length
  235.    wt: 1:   Long Division forwards and backwards Example 3
  236.    wt: 1:   Long Division forwards and backwards Example 2
  237.    wt: 1:   Long Division forwards and backwards Example 1
  238.    wt: 1:   10 Division by Five Long and Short Ways
  239.    wt: 1:   C Counting Areas with Powers of Ten
  240.    wt: 1:   B Powers of Ten
  241.    wt: 1:   4 Two and Three Digit Multipliers
  242.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  243.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  244.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  245.    wt: 1:   8 What skills and work habits to require
  246.    wt: 1:   11 Place Value SI Standard International way
  247.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  248.    wt: 1:   Exact Arithmetic Wholes and Fractions
  249.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  250.    wt: 1:   015 School and work day counting tables
  251.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  252.    wt: 1:   4 Mixing and Changing Units of Time
  253.    wt: 1:   3 Units and Lengths of Time
  254.    wt: 1:   2 Time and Date Matters in School
  255.    wt: 1:   Example 1. Area Between x and x squared
  256.    wt: 1:   21 Chain Rule for powers
  257.    wt: 1:   17 Derivatives of quotients of sine and cosine
  258.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  259.    wt: 1:   15 sine and cosine derivatives 3rd step
  260.    wt: 1:   14 sine and cosine derivatives 2nd step
  261.    wt: 1:   13 sine and cosine derivatives 1st step
  262.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  263.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  264.    wt: 1:   9 Limits Continuity and Composition
  265.    wt: 1:   5 Jumps and absence of unlimited error control
  266.    wt: 1:   2 Algebraic codification
  267.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  268.    wt: 1:   E2 Algebraic Properties of Limits
  269.    wt: 1:   PostScript For and Against Decimal Perspectives
  270.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  271.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  272.    wt: 1:   Chapter 12. Units and Slopes
  273.    wt: 1:   Chapter 10 Slopes and Units
  274.    wt: 1:   Chapter 7 Slopes and Velocity
  275.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  276.    wt: 1:   Chapter 2. Slopes and Ski Trails
  277.    wt: 1:   Appendix E. How To Study Mathematics and Why
  278.    wt: 1:   Appendix D. What to do in School and Why
  279.    wt: 1:   Chapter 31 Direct and Indirect Reason
  280.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  281.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  282.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  283.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  284.    wt: 1:   Chapter 20. Degrees and Radians
  285.    wt: 1:   Chapter 19. Functions and Sets
  286.    wt: 1:   Chapter 18. Rules for Algebra
  287.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  288.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  289.    wt: 1:   Chapter 12. Shorthand Usage Guide
  290.    wt: 1:   Chapter 11. Why Shorthand
  291.    wt: 1:   Chapter 10 Describing and Changing Calculations
  292.    wt: 1:   Chapter 8 Three Skills For Algebra
  293.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  294.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  295.    wt: 1:   Chapter 3 Algebra Difficulties
  296.    wt: 1:   Chapter 2 For and Against Mathematics
  297.    wt: 1:   Postscript B More on Story Telling and Reason
  298.    wt: 1:   Chapter 24 Direct and Indirect Reason
  299.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  300.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  301.    wt: 1:   Chapter 18 Sense and Knowledge
  302.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  303.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  304.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  305.    wt: 1:   S Adding words to algebra
  306.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  307.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  308.    wt: 1:   O On Learning Mathematics and Science
  309.    wt: 1:   N Improving Marks on Tests and Finals
  310.    wt: 1:   J. More on written work and showing skill
  311.    wt: 1:   I. Logic and language skills
  312.    wt: 1:   H Jigsaw puzzles and problem solving
  313.    wt: 1:   G. Written work formats for developing and showing skill
  314.    wt: 1:   E. When and how to correct errors
  315.    wt: 1:   How to Build Skills and Confidence
  316.    wt: 1:   Helping the Blind in Logic and Mathematics
  317.    wt: 1:   Systematic Algebra Skill Development Missing Links
  318.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  319.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  320.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

831 matches:

  1.    wt: 9:   11 Growth and Decay in Biology
  2.    wt: 9:   10 Exponential Growth and Decay Models
  3.    wt: 9:   5 Natural Logarithm Calculator Exercises
  4.    wt: 8:   2 Square Root Simplification a prequel
  5.    wt: 8:   1 Calculator Starter Exercises
  6.    wt: 6:   6 Set Existence Formation and Notation
  7.    wt: 6:   4 Function notation in and beyond mathematics
  8.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  9.    wt: 6:   9 Improper Fractions and Mixed Numbers
  10.    wt: 6:   6 Multiplication Algebraically Take II
  11.    wt: 5:   6 Intersection of lines by solving linear systems
  12.    wt: 5:   4 Equations for lines three forms
  13.    wt: 5:   4 Rates Ratios and Proporitionality
  14.    wt: 5:   2 More and Less Than for Counts and Measures
  15.    wt: 5:   6 Algebraic Solution Example
  16.    wt: 5:   1 Squares and Square Roots Introduction
  17.    wt: 5:   B Fractions and Two Term Ratios
  18.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  19.    wt: 5:   21 Reciprocals for Fractions and Wholes
  20.    wt: 5:   17 Efficient Ways to Add and Subtract
  21.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  22.    wt: 5:   14 Adding and Subtracting with Like Denominators
  23.    wt: 5:   13 Fraction Comparison Algebraic View
  24.    wt: 5:   11 Simplification an Algebraic View
  25.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  26.    wt: 5:   8 Numerals Fractionals Quantals Take II
  27.    wt: 5:   7 Numerals Fractionals Quantals
  28.    wt: 5:   4 Fraction Multiplication
  29.    wt: 5:   A Decimals Modular and Remainder Arithmetic
  30.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  31.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  32.    wt: 5:   23 Remainder Arithmetic Modulo 2
  33.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  34.    wt: 5:   21 Remainder Arithmetic Modulo 3
  35.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  36.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  37.    wt: 5:   18 Remainder Arithmetic Rule of 9 for checking sums II
  38.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  39.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  40.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  41.    wt: 5:   4 Subtraction with Conversions Borrows and Letter J
  42.    wt: 5:   6. Counting and adding units and mixed units
  43.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  44.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  45.    wt: 4:   26 Function definitions done and coming
  46.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  47.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  48.    wt: 4:   19 Horizontal line rule and method
  49.    wt: 4:   18 Vertical Line Rule and Method
  50.    wt: 4:   17 Function maxima minima and their location
  51.    wt: 4:   11 Function Domain Range Source and Targets
  52.    wt: 4:   8 Set view of relations and functions
  53.    wt: 4:   2 Algebraic use of function notation
  54.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  55.    wt: 4:   21 Logarithms Powers and Exponentials
  56.    wt: 4:   10 Midpoint of [a b] and [b a]
  57.    wt: 4:   7 Exercises to test skill and concept mastery
  58.    wt: 4:   5 Algebraic View of Slopes
  59.    wt: 4:   1 Numerical view of lines and their equations
  60.    wt: 4:   What is and is not here
  61.    wt: 4:   6 Polar Multiplication and Rotation
  62.    wt: 4:   4 Polar Coordinates to and from
  63.    wt: 4:   6 Ruler and compass Angle Bisection
  64.    wt: 4:   6 Column Methods for Decimal Multiplication
  65.    wt: 4:   4 Commutative Law Groups Counting Form
  66.    wt: 4:   6 Compound Interest Forward and Backwards
  67.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  68.    wt: 4:   6 Equations and Systems Equivalent or Implied
  69.    wt: 4:   4 Subtraction and Division Axioms
  70.    wt: 4:   4 Comparison of Negative Numbers
  71.    wt: 4:   3 More and Less Than with Unlike Signs
  72.    wt: 4:   4 Changing Letters
  73.    wt: 4:   3 Geometric Formulas and Function Notation
  74.    wt: 4:   1 Formulas Dependence and Function Notation
  75.    wt: 4:   4 GE III Animated Examples
  76.    wt: 4:   4 Four Examples Fractional Coefficients
  77.    wt: 4:   6 Three Examples
  78.    wt: 4:   4 Two Examples
  79.    wt: 4:   4 A Brief Story of numbers and algebra
  80.    wt: 4:   4 Greater More Less Than Signs in General
  81.    wt: 4:   1 More and Less Than for Counts and Measures
  82.    wt: 4:   5 Square Roots with primes more still
  83.    wt: 4:   4 Square Roots with primes more
  84.    wt: 4:   3 Properties of Square Roots with example
  85.    wt: 4:   2 Square Roots with Prime
  86.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  87.    wt: 4:   D Three Term Ratios
  88.    wt: 4:   22 Complex Compound Fractions
  89.    wt: 4:   21 Working With Signs
  90.    wt: 4:   20 Dividing Fractions the Why
  91.    wt: 4:   19 Dividing Fractions How TO
  92.    wt: 4:   18 Efficient Ways to Multiply
  93.    wt: 4:   16 Addition Subtraction Comparision Compared
  94.    wt: 4:   12 Fraction Comparison
  95.    wt: 4:   5 Equivalent Fractions
  96.    wt: 4:   3 Unit fraction of a fraction
  97.    wt: 4:   2 Unit Fraction Multiplication
  98.    wt: 4:   1 What is a fraction Take II
  99.    wt: 4:   1 What is a fraction
  100.    wt: 4:   6 Multiplication by Natural Numbers
  101.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  102.    wt: 4:   26 Divisibility by 2 3 5 Example
  103.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  104.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  105.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  106.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  107.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  108.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  109.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  110.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  111.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  112.    wt: 4:   5 Remainder Arithmetic Modulo 5
  113.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  114.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  115.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  116.    wt: 4:   1 Remainder Arithmetic Modulo 10
  117.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  118.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  119.    wt: 4:   4 Division with 2 Digit Divsors
  120.    wt: 4:   4 Two and Three Digit Multipliers
  121.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  122.    wt: 4:   38 Formulas and derivatives for powers and roots
  123.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  124.    wt: 3:   5 logarithms and exponentials etc
  125.    wt: 3:   4 Learning Takes Time and Effort
  126.    wt: 3:   23 Inverse Functions
  127.    wt: 3:   22 Square Root function graphically
  128.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  129.    wt: 3:   20 Interchanging coordinates a reflection
  130.    wt: 3:   16 Increasing or decreasing on intervals
  131.    wt: 3:   15 Sign analysis of functions
  132.    wt: 3:   14 Surjections Injections Bijections
  133.    wt: 3:   13 From one to one to many to one
  134.    wt: 3:   12 Function Domain Recognition Exercises
  135.    wt: 3:   10 Interval Notation
  136.    wt: 3:   9 Set theory term relation possible origins
  137.    wt: 3:   7 Functions with finite domains
  138.    wt: 3:   5 Function notation for geometric transformations
  139.    wt: 3:   3 Formula or function graphing exercise
  140.    wt: 3:   1 Geometric Introduction of Function Notation
  141.    wt: 3:   Introduction Reading Guide
  142.    wt: 3:   9 quadratics physical and further context
  143.    wt: 3:   6 quadratics numerical approach
  144.    wt: 3:   4 quadratics difference of two squares
  145.    wt: 3:   4 Polynomials Long division linear divisor
  146.    wt: 3:   Rewriting algebraic substitution as function substitutions
  147.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  148.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  149.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  150.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  151.    wt: 3:   3 Trigonometric Ratios sine and cosine
  152.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  153.    wt: 3:   Four Simple Exercises
  154.    wt: 3:   12 Links Lessons elsewhere
  155.    wt: 3:   11 A Partial Summary
  156.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  157.    wt: 3:   8 Mid Point Formula
  158.    wt: 3:   3 Slope product for perpendicular lines
  159.    wt: 3:   2 point slope equation for a line
  160.    wt: 3:   4 Side Side Side
  161.    wt: 3:   B Decimal Comparison and Subtraction
  162.    wt: 3:   2 Combing Counts Addition Skills and Principles
  163.    wt: 3:   4 Fraction Operations Axiomatic Development
  164.    wt: 3:   3 Inequalities Algebraically
  165.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  166.    wt: 3:   2 Algebraic View
  167.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  168.    wt: 3:   5 Equality in Algebra
  169.    wt: 3:   2 Addition and Multiplication Axioms
  170.    wt: 3:   5 Greater More Less Than Signs in General
  171.    wt: 3:   1 Real Numbers Comparison
  172.    wt: 3:   1 Whole and Natural Numbers
  173.    wt: 3:   5 Independent versus Dependent Variables
  174.    wt: 3:   2 Computation Rules Evaluation
  175.    wt: 3:   3 GE III Equation Addition and Multiplication
  176.    wt: 3:   4 Solving a triangular system exercise
  177.    wt: 3:   5 Algebraic Solutions Introduction
  178.    wt: 3:   2 More and Less Than with Unlike Signs
  179.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  180.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  181.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  182.    wt: 3:   7 GCD and LCM from prime factorization
  183.    wt: 3:   6 GCD from Prime
  184.    wt: 3:   5 Common Divisors 60 45 via Prime
  185.    wt: 3:   4 LCM of 8 and 10 via Prime
  186.    wt: 3:   2 Least Common Multiple LCM intro via list method
  187.    wt: 3:   12 GCD 2700 288 via Prime
  188.    wt: 3:   3 Counting with Tables and Trees II
  189.    wt: 3:   2 Counting with Tables and Trees I
  190.    wt: 3:   1 Counting and Counting Methods I
  191.    wt: 3:   6 adding signed numbers
  192.    wt: 3:   4 signed coordinates for regions in space
  193.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  194.    wt: 3:   3 Multiplying Units and Numbers
  195.    wt: 3:   2 Equality and Units
  196.    wt: 3:   1 Addition and Subtraction with Units
  197.    wt: 3:   4 Adding Movements wiht opposite directions
  198.    wt: 3:   4 video Prime Factorization Introduction
  199.    wt: 3:   Division with Counts and Length
  200.    wt: 3:   Long Division forwards and backwards Example 3
  201.    wt: 3:   Long Division forwards and backwards Example 2
  202.    wt: 3:   Long Division forwards and backwards Example 1
  203.    wt: 3:   10 Division by Five Long and Short Ways
  204.    wt: 3:   6 Multiplication Commutes Order Not Important
  205.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  206.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  207.    wt: 3:   8 What skills and work habits to require
  208.    wt: 3:   4. How to add with decimals B with conversions
  209.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  210.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  211.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  212.    wt: 3:   Quick history of numbers and algebra
  213.    wt: 3:   4 Definite Integrals Evaluation Exercises
  214.    wt: 3:   6 Continuity at a point
  215.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  216.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  217.    wt: 3:   Appendix E. How To Study Mathematics and Why
  218.    wt: 3:   Appendix D. What to do in School and Why
  219.    wt: 3:   Chapter 31 Direct and Indirect Reason
  220.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  221.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  222.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  223.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  224.    wt: 3:   Chapter 20. Degrees and Radians
  225.    wt: 3:   Chapter 19. Functions and Sets
  226.    wt: 3:   Chapter 18. Rules for Algebra
  227.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  228.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  229.    wt: 3:   Chapter 12. Shorthand Usage Guide
  230.    wt: 3:   Chapter 11. Why Shorthand
  231.    wt: 3:   Chapter 10 Describing and Changing Calculations
  232.    wt: 3:   Chapter 8 Three Skills For Algebra
  233.    wt: 3:   Chapter 6 Change of Language
  234.    wt: 3:   Chapter 4 Longer Chains of Reason
  235.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  236.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  237.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  238.    wt: 2:   4 algebra
  239.    wt: 2:   geometric implications for algebra
  240.    wt: 2:   Education in mathematics science and technology
  241.    wt: 2:   Motivation and Context Problem
  242.    wt: 2:   chapitre 04 06 engagements
  243.    wt: 2:   chapitre 04 04 Parlons de la logique
  244.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  245.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  246.    wt: 2:   sign monoticity analysis example 4
  247.    wt: 2:   sign monoticity analysis example 3
  248.    wt: 2:   sign monoticity analysis example 2
  249.    wt: 2:   sign monoticity analysis example 1
  250.    wt: 2:   A Quadratics Summary
  251.    wt: 2:   10 quadratic exercises
  252.    wt: 2:   8 quadratics backward use of various formulas
  253.    wt: 2:   7 quadratic formulla derivation
  254.    wt: 2:   5 quadratics completing the square
  255.    wt: 2:   3 quadratics factoring by inspection
  256.    wt: 2:   2 quadratics graphing in general
  257.    wt: 2:   1 quadratics graphing exercises
  258.    wt: 2:   Quadratics in 10 steps
  259.    wt: 2:   8 Notes for instructors or tutors
  260.    wt: 2:   7 Links Lessons Elsewhere
  261.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  262.    wt: 2:   3 Polynomials Multiplication Addition
  263.    wt: 2:   2 Column Multiplication Method
  264.    wt: 2:   1 Polynomials Distributive Law
  265.    wt: 2:   9 Summary Degrees to Radians and back
  266.    wt: 2:   1 Degrees and Radians Introduction
  267.    wt: 2:   4 Resultant of a Sum of Movements
  268.    wt: 2:   4 graphing y=Asin(x c)
  269.    wt: 2:   Parallel Lines and Parallel Transversals
  270.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  271.    wt: 2:   Parallel Lines and Interior Angles
  272.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  273.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  274.    wt: 2:   Straight Lines ASA Intersection Study More
  275.    wt: 2:   Straight Lines ASA Intersection Study
  276.    wt: 2:   Straight Lines Instersection Solving Equations
  277.    wt: 2:   14 cosine even and sine and tangent are odd
  278.    wt: 2:   9 Graphs of sine and cosine over one period
  279.    wt: 2:   7 period of sine and cosine
  280.    wt: 2:   6 Field Properties of Complex Number
  281.    wt: 2:   4 Multiplication Properties
  282.    wt: 2:   8 Triangles Cascade Problem Solving
  283.    wt: 2:   7 Trignometric Ratios Unit Circle
  284.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  285.    wt: 2:   1 Angle Measurement with Degrees
  286.    wt: 2:   Why Trigonometry the whyslopes view
  287.    wt: 2:   5 Cartesian Addition and Translation
  288.    wt: 2:   16 Angles Subtended By Chords and Diameters
  289.    wt: 2:   1 Initial Concepts and Terms
  290.    wt: 2:   3 Lengths and Areas on Maps and Plans
  291.    wt: 2:   A Modular and Remainder Arithmetic
  292.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  293.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  294.    wt: 2:   13 Arrows and Vectors in a Plane
  295.    wt: 2:   11 Signed Number Addition and Addition Properties
  296.    wt: 2:   8 Division and Mulplication of Compound Fractions
  297.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  298.    wt: 2:   4 Location of Point in Decimal Addition
  299.    wt: 2:   E Long Division Methods more
  300.    wt: 2:   D Long Division Methods
  301.    wt: 2:   C Three Decimal Subtraction Methods
  302.    wt: 2:   A Decimal Addition Columm Methods
  303.    wt: 2:   8 Column Multiplication Methods in General
  304.    wt: 2:   7 Decimals Multiplication Methods Examples
  305.    wt: 2:   5 Distributive Law for Whole Numbers
  306.    wt: 2:   3 Multiplicative Counting Skills Principles
  307.    wt: 2:   1 The Counting Origins of Numbers
  308.    wt: 2:   5 Areas of Rectangles Revisited
  309.    wt: 2:   2 Fraction Operations Physical Development
  310.    wt: 2:   5 Proportionality in Equivalent Fractions
  311.    wt: 2:   3 Proportionality Examples
  312.    wt: 2:   1 What is Proportionality
  313.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  314.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  315.    wt: 2:   5 Triangle Area Formula Backwards
  316.    wt: 2:   3 Linear Equation Literal Solution More
  317.    wt: 2:   2 Linear Equation Literal Solution
  318.    wt: 2:   1 Changing Calculations
  319.    wt: 2:   3 Product Axioms Two Forms
  320.    wt: 2:   1 Equivalent Computation Rules
  321.    wt: 2:   10 Real Number Lengths and Signs
  322.    wt: 2:   8 Coordinates for Maps and Planes
  323.    wt: 2:   6 Unsigned Real Numbers
  324.    wt: 2:   4 Rational Numbers
  325.    wt: 2:   Simple Exercises
  326.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  327.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  328.    wt: 2:   2 GE II Comparison
  329.    wt: 2:   1 GE Substitution four examples
  330.    wt: 2:   3 Four Examples
  331.    wt: 2:   2 Three Examples
  332.    wt: 2:   1 Proper Equal Sign Usage
  333.    wt: 2:   Skill Development Notes
  334.    wt: 2:   10 One Example
  335.    wt: 2:   9 Three Examples
  336.    wt: 2:   8 One Example
  337.    wt: 2:   7 Two Examples
  338.    wt: 2:   5 Three Examples
  339.    wt: 2:   3 Two Examples
  340.    wt: 2:   2 Three Examples
  341.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  342.    wt: 2:   4 Circle Area Formula Example
  343.    wt: 2:   1 Written work formats for developing and showing skill
  344.    wt: 2:   9 Sets in Probability and Statistics
  345.    wt: 2:   6 Power Set Notation
  346.    wt: 2:   4 Subset Builder Notation
  347.    wt: 2:   6 Three Notions of What is a Variable
  348.    wt: 2:   5 Talking about Numbers and Quantities
  349.    wt: 2:   1 Three Skills For Algebra
  350.    wt: 2:   3 Comparison of Negative Numbers
  351.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  352.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  353.    wt: 2:   13 GCD from given Prime Factorization
  354.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  355.    wt: 2:   8 GCD from Euclidean Algorithm
  356.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  357.    wt: 2:   1 Least Common Multiples LCM Introduction
  358.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  359.    wt: 2:   4 Counting with Trees Product Rule Take I
  360.    wt: 2:   11 What are real lengths and numbers
  361.    wt: 2:   7 negative and additive inverse
  362.    wt: 2:   5 lengths and signs of numbers
  363.    wt: 2:   3 signed coordinates for maps and planes
  364.    wt: 2:   2 signed and unsigned numbers as coordinates
  365.    wt: 2:   7 Converting or Changing Units
  366.    wt: 2:   6 Simplification of Fractions with Units
  367.    wt: 2:   4 Fractions with Units
  368.    wt: 2:   11 Adding Integers Formulas and Examples
  369.    wt: 2:   5 Zero Movement and Additive Inverses
  370.    wt: 2:   17 Identify and Count Factors using Primes
  371.    wt: 2:   12 LCD GCD and LCM using Primes
  372.    wt: 2:   7 Calculator Usage Notes and Cautions
  373.    wt: 2:   5 Prime Factorization and a Square Rule
  374.    wt: 2:   3 video Primes and Composites from 9 times table
  375.    wt: 2:   2 Prime and Composites less than 16
  376.    wt: 2:   Long Division Backwards more
  377.    wt: 2:   Long Division Backward
  378.    wt: 2:   12 Why Long Division Works Take III
  379.    wt: 2:   11 Another Single Digit Divisor Example
  380.    wt: 2:   9 Why Long Division Works Take II
  381.    wt: 2:   8 Correcting the Mistake
  382.    wt: 2:   7 Long Divison Mistake Catching
  383.    wt: 2:   5 Long Division Include Zeroes or not
  384.    wt: 2:   3 Division Single Digit Divisor Example
  385.    wt: 2:   2 Division with Single Digit Divisors
  386.    wt: 2:   1 Divsion Physical Examples
  387.    wt: 2:   C Counting Areas with Powers of Ten
  388.    wt: 2:   B Powers of Ten
  389.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  390.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  391.    wt: 2:   Subtraction with J Conversions Example
  392.    wt: 2:   Subtraction Another Video Lesson
  393.    wt: 2:   9 22 Minute Subtraction Review Video
  394.    wt: 2:   8 Subtraction with Units of Measure
  395.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  396.    wt: 2:   5 A Tip for Efficent Subtraction
  397.    wt: 2:   2 Subtraction Easy Case Examples
  398.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  399.    wt: 2:   7 Adding decimal fractions using decimal point
  400.    wt: 2:   5. How to add decimals C. Examples
  401.    wt: 2:   3. How to add with decimals A sans conversions
  402.    wt: 2:   2 Decimal Counting Practices
  403.    wt: 2:   1. Explaining Addition Table
  404.    wt: 2:   11 Place Value SI Standard International way
  405.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  406.    wt: 2:   Exact Arithmetic Wholes and Fractions
  407.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  408.    wt: 2:   4 Mixing and Changing Units of Time
  409.    wt: 2:   Example 2 volume of a cone
  410.    wt: 2:   Example 1 volume of a pyramid
  411.    wt: 2:   Volume of Solid by Cross Sections Lesson
  412.    wt: 2:   Example 1. Area Between x and x squared
  413.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  414.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  415.    wt: 2:   2 Indefinite Integrals Exercises
  416.    wt: 2:   4 Second derivative test exercise example
  417.    wt: 2:   3 Second derivative test
  418.    wt: 2:   14 sine and cosine derivatives 2nd step
  419.    wt: 2:   13 sine and cosine derivatives 1st step
  420.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  421.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  422.    wt: 2:   9 Limits Continuity and Composition
  423.    wt: 2:   5 Jumps and absence of unlimited error control
  424.    wt: 2:   4 Numerical properties
  425.    wt: 2:   2 Algebraic codification
  426.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  427.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  428.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  429.    wt: 2:   Chapter 12. Units and Slopes
  430.    wt: 2:   Chapter 10 Slopes and Units
  431.    wt: 2:   Chapter 7 Slopes and Velocity
  432.    wt: 2:   Chapter 4. More Slope Sign Analysis
  433.    wt: 2:   Chapter 2. Slopes and Ski Trails
  434.    wt: 2:   Postscript More on Better Performance
  435.    wt: 2:   Postscript For Better Performance
  436.    wt: 2:   Appendix C. How to Read
  437.    wt: 2:   Appendix B. How To Learn
  438.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  439.    wt: 2:   Chapter 30 Truth Tables
  440.    wt: 2:   Chapter 28 Occurrence Tables
  441.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  442.    wt: 2:   Chapter 25. Mathematical Induction Examples
  443.    wt: 2:   Chapter 25. Mathematical Induction Examples
  444.    wt: 2:   Chapter 23. Notation For Sums
  445.    wt: 2:   Chapter 21. Third Reading Guide
  446.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  447.    wt: 2:   Chapter 16. Painless Theorem Proving
  448.    wt: 2:   Chapter 15. Solving Linear Equations
  449.    wt: 2:   Chapter 13. Second Reading Guide
  450.    wt: 2:   Postscript What is a Variable
  451.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  452.    wt: 2:   Solutions For Arithmetic Exercises
  453.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  454.    wt: 2:   Chapter 3 Chains of Reason
  455.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  456.    wt: 2:   Foreword
  457.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  458.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  459.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  460.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  461.    wt: 2:   S Adding words to algebra
  462.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  463.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  464.    wt: 2:   O On Learning Mathematics and Science
  465.    wt: 2:   N Improving Marks on Tests and Finals
  466.    wt: 2:   J. More on written work and showing skill
  467.    wt: 2:   I. Logic and language skills
  468.    wt: 2:   H Jigsaw puzzles and problem solving
  469.    wt: 2:   G. Written work formats for developing and showing skill
  470.    wt: 2:   F. The student teacher tutor feedback loop
  471.    wt: 2:   E. When and how to correct errors
  472.    wt: 2:   D. Check work a must with a caution
  473.    wt: 2:   How to Build Skills and Confidence
  474.    wt: 2:   More Algebra and Slope based Calculus Preview
  475.    wt: 1:   Appendix 1 primary and preschool mathematic
  476.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  477.    wt: 1:   Ramblings Introduction Algebra Essay
  478.    wt: 1:   Skills Chapter 3 Algebra
  479.    wt: 1:   7 logic review and decimals an odd combination
  480.    wt: 1:   6 polynomials etc
  481.    wt: 1:   Teach the teachers plus goals
  482.    wt: 1:   site eurekas
  483.    wt: 1:   key notes and themes
  484.    wt: 1:   what should be learnt and When
  485.    wt: 1:   talk the algebra talk
  486.    wt: 1:   teaching tips
  487.    wt: 1:   teaching tutoring algebraic reason
  488.    wt: 1:   Lessening Algebra Difficulties
  489.    wt: 1:   the trouble with algebra
  490.    wt: 1:   04 29 New Mathematics Curriculum
  491.    wt: 1:   04 25 when to stop or suspend mathemat
  492.    wt: 1:   standards for course material
  493.    wt: 1:   Operational Viewpoint to Value
  494.    wt: 1:   Leaner mathematics curriculum
  495.    wt: 1:   fairness and inductive principles for instruction
  496.    wt: 1:   chapitre 06 00 Chaines de la raison
  497.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  498.    wt: 1:   chapitre 04 09 Regles accidentelles
  499.    wt: 1:   chapitre 04 08 Limitations et benefices
  500.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  501.    wt: 1:   chapitre 04 05 Implication versus suggestion
  502.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  503.    wt: 1:   chapitre 04 02 Deuxieme enigme
  504.    wt: 1:   chapitre 04 01 Premiere enigme
  505.    wt: 1:   chapitre 04 00 Les regles d implication
  506.    wt: 1:   logique deux enigme
  507.    wt: 1:   4 Energy Power Heat09
  508.    wt: 1:   1 Energy Power Heat06
  509.    wt: 1:   D Energy Power04
  510.    wt: 1:   F Wire Resistance Calculation04
  511.    wt: 1:   E Kirchoffs Second Law
  512.    wt: 1:   C Electromotive force conventional current02
  513.    wt: 1:   Home Tutoring and Home Schooling
  514.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  515.    wt: 1:   24 Standards For Skill Develoment Take II
  516.    wt: 1:   24 Standards For Skill Develoment
  517.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  518.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  519.    wt: 1:   17 Math Booklets for children and young teenagers
  520.    wt: 1:   14 Multiplication and Times Tables
  521.    wt: 1:   13 Addition and Addition Tables
  522.    wt: 1:   12 Goals and Objectives For Mathematics
  523.    wt: 1:   11 Help and Defend Your Child or Teens Education
  524.    wt: 1:   5 Patience Please for Yourself and Your Charges
  525.    wt: 1:   2 Reading and Writing Skills
  526.    wt: 1:   Ages 4 plus to 5 plus
  527.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  528.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  529.    wt: 1:   16 cotangent function Definition Graph and Inverse
  530.    wt: 1:   15 cosecant function Definition Graph and Inverse
  531.    wt: 1:   14 secant function Definition Graph and Inverse
  532.    wt: 1:   13 cosecant function Definition Graph and Inverse
  533.    wt: 1:   8 Radian Measures of Common Angles
  534.    wt: 1:   7 Radian Measures in special Triangles
  535.    wt: 1:   6 Radian Measure to Degrees
  536.    wt: 1:   5 Degrees to Radian Measure
  537.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  538.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  539.    wt: 1:   2 Radian Measure Numerical Value of one degree
  540.    wt: 1:   A Global Time and Navigation
  541.    wt: 1:   15 Dot and Cross Product
  542.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  543.    wt: 1:   6 Vectors with Coordinates
  544.    wt: 1:   5 Head To Tail Arrow Addition
  545.    wt: 1:   Vector and Complex Number Applet
  546.    wt: 1:   3 graphing y=f(x c) plus K
  547.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  548.    wt: 1:   1 graphing y=f(x a)
  549.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  550.    wt: 1:   Triangle Angles Sum To 180 Degrees
  551.    wt: 1:   Straight Lines Intersection of
  552.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  553.    wt: 1:   C Straight Lines Slope from Coordinates
  554.    wt: 1:   B Straight Line Slope Scaling Properties More
  555.    wt: 1:   A Straight Line Slope Scaling Properties
  556.    wt: 1:   14 Straight Lines Equations General Case
  557.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  558.    wt: 1:   12 Straight Lines Graphing mx plus b
  559.    wt: 1:   11 Straight Lines Graphing y=mx
  560.    wt: 1:   10 Straight Lines through Origin Equations More
  561.    wt: 1:   9 Straight Lines through Origin Equations
  562.    wt: 1:   8 Straight Lines Equation for vertical
  563.    wt: 1:   7 Tangent Function is odd on this domain
  564.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  565.    wt: 1:   5 Tangent Function Graph
  566.    wt: 1:   4 Tangent Function Properties
  567.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  568.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  569.    wt: 1:   1 Straight Lines Slope Concept
  570.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  571.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  572.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  573.    wt: 1:   29 secant cosecant and cotangent for acute angles
  574.    wt: 1:   27 Logarithmic use of products of sines and cosines
  575.    wt: 1:   26 Formulas for products of sines and cosines
  576.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  577.    wt: 1:   21 sine and cosine Half Angle Formulas
  578.    wt: 1:   20 sine and cosine Double Angle Formulas
  579.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  580.    wt: 1:   17E Trig Formulas for dot and cross Products
  581.    wt: 1:   17D cis formulas for sine cosines and tangent
  582.    wt: 1:   17C sine and cosine double triple angle formulas
  583.    wt: 1:   10 Graphs of sines and cosines many periods
  584.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  585.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  586.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  587.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  588.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  589.    wt: 1:   20 N th Roots of Complex Numbers
  590.    wt: 1:   19 N th Roots of Unity
  591.    wt: 1:   18 Sixth Roots of Unity
  592.    wt: 1:   17 Cube Roots of unity
  593.    wt: 1:   16 References and Originality Question
  594.    wt: 1:   13 Trig Formulas for dot and cross Products
  595.    wt: 1:   12 cis formulas for sine cosines and tangent
  596.    wt: 1:   11 sine and cosine double triple angle formulas
  597.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  598.    wt: 1:   8 Similarity of Triangles and Polygons
  599.    wt: 1:   6 Geometric Diagrams in Class
  600.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  601.    wt: 1:   4 Similarity Definition with Coordinate
  602.    wt: 1:   13 Pythagorean spatial distance formulas
  603.    wt: 1:   12 Spatial Coordinates
  604.    wt: 1:   11 Triangle Inequality
  605.    wt: 1:   10 Pythagorean plane distance formula
  606.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  607.    wt: 1:   8 Distance Between Points on a Line
  608.    wt: 1:   7 Complex Numbers Appetizer
  609.    wt: 1:   3 Rectangular Coordinates Review
  610.    wt: 1:   2 Cartesian Coordinates with signs
  611.    wt: 1:   1 Cartesian Coordinates sans signs
  612.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  613.    wt: 1:   PS H Distributive Law For Complex Numbers
  614.    wt: 1:   PS G Rotation Distributes over Addition
  615.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  616.    wt: 1:   PS E Multiplication with Polar Coordinates
  617.    wt: 1:   PS D Addition with Cartesian Coordinates
  618.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  619.    wt: 1:   PS B Parallelogram Construction Methods
  620.    wt: 1:   PS A Kite Construction Methods
  621.    wt: 1:   21 Parallelograms
  622.    wt: 1:   19 Right Triangle Similarity
  623.    wt: 1:   18 Triangle Similarity Take 1
  624.    wt: 1:   17 Right Bisectors of Triangle Sides
  625.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  626.    wt: 1:   14 Parallel Lines Postulate
  627.    wt: 1:   13 Angle Side Angle Failure
  628.    wt: 1:   12 Side Angle Side Failure
  629.    wt: 1:   11 Triangle Construction Fails
  630.    wt: 1:   10 Dropping a perpendicular to line
  631.    wt: 1:   9 Construction of a right bisector
  632.    wt: 1:   8 Isoceles Triangles
  633.    wt: 1:   7 Angle Side Angle
  634.    wt: 1:   5 Side Angle Side
  635.    wt: 1:   3 Isometry of Triangles Congruence
  636.    wt: 1:   2 Correspondence between Triangles
  637.    wt: 1:   Short Course on Euclidean Geometry
  638.    wt: 1:   6 Figuring with Maps Not to Scale
  639.    wt: 1:   4 Angles on Maps Plans drawn to scale
  640.    wt: 1:   musings do not puiblish real numbers
  641.    wt: 1:   A Signed Number Arithmetic Review
  642.    wt: 1:   26 More Less Greater Than Comparison
  643.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  644.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  645.    wt: 1:   23 Distributive Law Two Derivations
  646.    wt: 1:   22 Multiplication of Signed Numbers
  647.    wt: 1:   21 Addition of Multiples of a Single Vector
  648.    wt: 1:   19 Signed Multiples of Vectors
  649.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  650.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  651.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  652.    wt: 1:   15 Head to Tails in place Addition Associative
  653.    wt: 1:   12 Real Numbers Line Signed Coordinates
  654.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  655.    wt: 1:   9 Division with Digits after Decimal Point
  656.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  657.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  658.    wt: 1:   3 Location of Point in Decimal Multiplication
  659.    wt: 1:   2 Counting Digits in Decimal Multiplication
  660.    wt: 1:   1 Fractions with Finite Decimal Expansions
  661.    wt: 1:   16 Real Numbers Comparison
  662.    wt: 1:   15 Real Number Division
  663.    wt: 1:   14 Real Number Multiplication
  664.    wt: 1:   13 Real Number Subtraction
  665.    wt: 1:   12 Real Number Additive Inverses or Negatives
  666.    wt: 1:   11 Real Number Addition
  667.    wt: 1:   9 Coordinates for Regions in Space
  668.    wt: 1:   7 Real Numbers as Line Cordinates
  669.    wt: 1:   5 Rational Numbers More
  670.    wt: 1:   3 Fractions
  671.    wt: 1:   2 Integers
  672.    wt: 1:   More Exercises
  673.    wt: 1:   3 Solving triangular system example
  674.    wt: 1:   2 Essentially one exercises three with solution
  675.    wt: 1:   1 Essentially One Unknown
  676.    wt: 1:   Using Letters for Physical Quantities
  677.    wt: 1:   Formula Usage Show Work Format
  678.    wt: 1:   13 Naming Identifying Formulas with Words
  679.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  680.    wt: 1:   11 Volume of Sphere
  681.    wt: 1:   10 Volume of Pyramid
  682.    wt: 1:   9 Volume of Cone
  683.    wt: 1:   8 Compound Interest Formula Evaluation
  684.    wt: 1:   7 Compound Interest Formula Introduction
  685.    wt: 1:   5 Box Volume Formula Example
  686.    wt: 1:   3 Triangle Area Formula Example
  687.    wt: 1:   2 Another Rectangle Area Formula Example
  688.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  689.    wt: 1:   8 Sets of Numbers
  690.    wt: 1:   7 Cautious or Safe Set Construction
  691.    wt: 1:   5 Product Builder Notation
  692.    wt: 1:   3 Counting with Sets etc
  693.    wt: 1:   2 Venn Diagrams
  694.    wt: 1:   1 Finite Sets
  695.    wt: 1:   3 Adding Words To Arithmetic
  696.    wt: 1:   2 What is a Variable
  697.    wt: 1:   About Folder Contents
  698.    wt: 1:   arithmetic videos Real Player Format
  699.    wt: 1:   10 dividing signed numbers
  700.    wt: 1:   9 subtracting signed numbers
  701.    wt: 1:   8 multiplying signed numbers
  702.    wt: 1:   D Remainders Modulo 11 Pair Rule
  703.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  704.    wt: 1:   B Integer Long Division Multiple Choices
  705.    wt: 1:   A Associative Law Theorectical Note
  706.    wt: 1:   13 Subtraction with Additive Inverse
  707.    wt: 1:   12 Adding Integers More Examples
  708.    wt: 1:   10 Integer Multiplication Formulas
  709.    wt: 1:   9 Multiplying Integers
  710.    wt: 1:   8 Multiplication by Signed Numbers Integers
  711.    wt: 1:   7 Multiplication by Signs
  712.    wt: 1:   3 Adding Movements with same direction
  713.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  714.    wt: 1:   1 Integers as Coordinates
  715.    wt: 1:   20 Uniqueness of Prime Factorization
  716.    wt: 1:   19 video Prime Factorization Unique
  717.    wt: 1:   18 video Count Factors given Prime Factorization
  718.    wt: 1:   16 video Factors of 980 using prime
  719.    wt: 1:   15 video Factors of 20 using Prime Factorization
  720.    wt: 1:   14 video Factors of 24 Take II
  721.    wt: 1:   13 video Factors of 24 using prime
  722.    wt: 1:   11 Efficient Square Rule Use
  723.    wt: 1:   10 video Prime Factorization upto 23 squared
  724.    wt: 1:   9 video Prime Factorization upto 19 squared
  725.    wt: 1:   8 video Prime Factorization upto 19
  726.    wt: 1:   1 video how Products are bigger than factor
  727.    wt: 1:   D Decimal Multiplication Methods Derived
  728.    wt: 1:   A Elementary Basis for Multiplication Methods
  729.    wt: 1:   5 Decimal Fraction Multiplication
  730.    wt: 1:   3 More One Digit Multipliers
  731.    wt: 1:   2 One Digit Multipliers
  732.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  733.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  734.    wt: 1:   Video Power Notation in Decimal Expansion
  735.    wt: 1:   1 Why 3 times 5 gives 15
  736.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  737.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  738.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  739.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  740.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  741.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  742.    wt: 1:   Formula Evaluation how to show work
  743.    wt: 1:   Expression Evaluation how to show work
  744.    wt: 1:   The 20 Times Table
  745.    wt: 1:   The 12 Times Table Visually
  746.    wt: 1:   About folder contents
  747.    wt: 1:   015 School and work day counting tables
  748.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  749.    wt: 1:   6 How long is a million seconds
  750.    wt: 1:   3 Units and Lengths of Time
  751.    wt: 1:   2 Time and Date Matters in School
  752.    wt: 1:   Example 4 with x function of y
  753.    wt: 1:   Example 3
  754.    wt: 1:   Example 2
  755.    wt: 1:   Example 1
  756.    wt: 1:   Area Between Curves Lesson Take 2
  757.    wt: 1:   Area Between Curves Lesson Take 1
  758.    wt: 1:   Summary
  759.    wt: 1:   A Related Material in Volume 3
  760.    wt: 1:   5 Area Under Curve Exercise
  761.    wt: 1:   3 Two Chain Rule Method Exercises
  762.    wt: 1:   1 Chain Rule in Reverse Integration Method
  763.    wt: 1:   A Related lessons in Volume 3
  764.    wt: 1:   2 Second derivative test prequel
  765.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  766.    wt: 1:   21 Chain Rule for powers
  767.    wt: 1:   17 Derivatives of quotients of sine and cosine
  768.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  769.    wt: 1:   15 sine and cosine derivatives 3rd step
  770.    wt: 1:   6 Power rule from product rule
  771.    wt: 1:   4 Sum Rule
  772.    wt: 1:   11 Limits at infinity Three Examples
  773.    wt: 1:   10 Three one sided limits with infinite values
  774.    wt: 1:   8 Four Animated Examples
  775.    wt: 1:   7 Evaluation by immediate or delayed substitution
  776.    wt: 1:   3 Decimal insights for limits continuity convergence
  777.    wt: 1:   1 Numerical introduction
  778.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  779.    wt: 1:   E2 Algebraic Properties of Limits
  780.    wt: 1:   D2 Limits of Monotone Sequences
  781.    wt: 1:   C Triangle Inequalities
  782.    wt: 1:   PostScript For and Against Decimal Perspectives
  783.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  784.    wt: 1:   Chapter 23 Links To Trigonometry
  785.    wt: 1:   Chapter 22 Complex Numbers
  786.    wt: 1:   Chapter 21 Arrow Addition
  787.    wt: 1:   Chapter 18. Slopes Areas Integration
  788.    wt: 1:   Chapter 17. Area Approximation
  789.    wt: 1:   Chapter 16. Velocity Approximation
  790.    wt: 1:   Chapter 15. Slope Approximation
  791.    wt: 1:   Chapter 13. Acceleration
  792.    wt: 1:   Chapter 11. Graphing Slope versus Position
  793.    wt: 1:   Chapter 9 About First Courses in Calculus
  794.    wt: 1:   Chapter 8. Slope Interpretation
  795.    wt: 1:   Chapter 5. Slope Sign Tests
  796.    wt: 1:   Chapter 3. Slope Sign Analysis
  797.    wt: 1:   Chapter 1.Introduction
  798.    wt: 1:   Fall 1983 Calculus Appetizer
  799.    wt: 1:   Foreword
  800.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  801.    wt: 1:   Chapter 3 Algebra Difficulties
  802.    wt: 1:   Chapter 2 For and Against Mathematics
  803.    wt: 1:   Postscript B More on Story Telling and Reason
  804.    wt: 1:   Chapter 24 Direct and Indirect Reason
  805.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  806.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  807.    wt: 1:   Chapter 18 Sense and Knowledge
  808.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  809.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  810.    wt: 1:   Chapter 6 Chains of Reason
  811.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  812.    wt: 1:   R Why Learn Mathematics Skills
  813.    wt: 1:   N Mathematics Prepare for College Studies
  814.    wt: 1:   M Words to extend arithmetic
  815.    wt: 1:   L Skills with take home value
  816.    wt: 1:   H more Routine to non routine problem solving
  817.    wt: 1:   C. Domino effect of being careful
  818.    wt: 1:   B. Domino effect of errors
  819.    wt: 1:   A. Skill has to be seen to believed
  820.    wt: 1:   Helping the Blind in Logic and Mathematics
  821.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  822.    wt: 1:   Implementation Notes
  823.    wt: 1:   Systematic Algebra Skill Development Missing Links
  824.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  825.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  826.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  827.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  828.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  829.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  830.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  831.    wt: 10:   7 Formulas for Roots with Logarithms Derivation

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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

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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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