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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59 matches:

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

Web Page Search

310 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:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  10.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  11.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   2 More and Less Than for Counts and Measures
  16.    wt: 2:   1 Whole and Natural Numbers
  17.    wt: 2:   4 A Brief Story of numbers and algebra
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   1 Squares and Square Roots Introduction
  20.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 2:   6. Counting and adding units and mixed units
  22.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  23.    wt: 2:   Quick history of numbers and algebra
  24.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  25.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  26.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  27.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  28.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  29.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  30.    wt: 2:   More Algebra and Slope based Calculus Preview
  31.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  32.    wt: 1:   Appendix 1 primary and preschool mathematic
  33.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  34.    wt: 1:   Ramblings Introduction Algebra Essay
  35.    wt: 1:   Skills Chapter 3 Algebra
  36.    wt: 1:   7 logic review and decimals an odd combination
  37.    wt: 1:   4 algebra
  38.    wt: 1:   key notes and themes
  39.    wt: 1:   what should be learnt and When
  40.    wt: 1:   talk the algebra talk
  41.    wt: 1:   geometric implications for algebra
  42.    wt: 1:   teaching tutoring algebraic reason
  43.    wt: 1:   Lessening Algebra Difficulties
  44.    wt: 1:   the trouble with algebra
  45.    wt: 1:   standards for course material
  46.    wt: 1:   Education in mathematics science and technology
  47.    wt: 1:   Motivation and Context Problem
  48.    wt: 1:   fairness and inductive principles for instruction
  49.    wt: 1:   chapitre 06 00 Chaines de la raison
  50.    wt: 1:   chapitre 04 06 engagements
  51.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  52.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  53.    wt: 1:   1 Energy Power Heat06
  54.    wt: 1:   C Energy Power03
  55.    wt: 1:   E Wire Resistance Calculation03
  56.    wt: 1:   Home Tutoring and Home Schooling
  57.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  58.    wt: 1:   24 Standards For Skill Develoment Take II
  59.    wt: 1:   24 Standards For Skill Develoment
  60.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  61.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  62.    wt: 1:   17 Math Booklets for children and young teenagers
  63.    wt: 1:   14 Multiplication and Times Tables
  64.    wt: 1:   13 Addition and Addition Tables
  65.    wt: 1:   12 Goals and Objectives For Mathematics
  66.    wt: 1:   11 Help and Defend Your Child or Teens Education
  67.    wt: 1:   5 Patience Please for Yourself and Your Charges
  68.    wt: 1:   4 Learning Takes Time and Effort
  69.    wt: 1:   2 Reading and Writing Skills
  70.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  71.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  72.    wt: 1:   26 Function definitions done and coming
  73.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  74.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  75.    wt: 1:   19 Horizontal line rule and method
  76.    wt: 1:   18 Vertical Line Rule and Method
  77.    wt: 1:   17 Function maxima minima and their location
  78.    wt: 1:   11 Function Domain Range Source and Targets
  79.    wt: 1:   8 Set view of relations and functions
  80.    wt: 1:   6 Set Existence Formation and Notation
  81.    wt: 1:   4 Function notation in and beyond mathematics
  82.    wt: 1:   2 Algebraic use of function notation
  83.    wt: 1:   9 quadratics physical and further context
  84.    wt: 1:   11 Growth and Decay in Biology
  85.    wt: 1:   10 Exponential Growth and Decay Models
  86.    wt: 1:   5 Natural Logarithm Calculator Exercises
  87.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  88.    wt: 1:   Rewriting algebraic substitution as function substitutions
  89.    wt: 1:   16 cotangent function Definition Graph and Inverse
  90.    wt: 1:   15 cosecant function Definition Graph and Inverse
  91.    wt: 1:   14 secant function Definition Graph and Inverse
  92.    wt: 1:   13 cosecant function Definition Graph and Inverse
  93.    wt: 1:   9 Summary Degrees to Radians and back
  94.    wt: 1:   1 Degrees and Radians Introduction
  95.    wt: 1:   A Global Time and Navigation
  96.    wt: 1:   15 Dot and Cross Product
  97.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  98.    wt: 1:   Vector and Complex Number Applet
  99.    wt: 1:   Parallel Lines and Parallel Transversals
  100.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  101.    wt: 1:   Parallel Lines and Interior Angles
  102.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  103.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  104.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  105.    wt: 1:   29 secant cosecant and cotangent for acute angles
  106.    wt: 1:   27 Logarithmic use of products of sines and cosines
  107.    wt: 1:   26 Formulas for products of sines and cosines
  108.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  109.    wt: 1:   21 sine and cosine Half Angle Formulas
  110.    wt: 1:   20 sine and cosine Double Angle Formulas
  111.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  112.    wt: 1:   17E Trig Formulas for dot and cross Products
  113.    wt: 1:   17D cis formulas for sine cosines and tangent
  114.    wt: 1:   17C sine and cosine double triple angle formulas
  115.    wt: 1:   10 Graphs of sines and cosines many periods
  116.    wt: 1:   9 Graphs of sine and cosine over one period
  117.    wt: 1:   7 period of sine and cosine
  118.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  119.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  120.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  121.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  122.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  123.    wt: 1:   20 N th Roots of Complex Numbers
  124.    wt: 1:   19 N th Roots of Unity
  125.    wt: 1:   18 Sixth Roots of Unity
  126.    wt: 1:   17 Cube Roots of unity
  127.    wt: 1:   16 References and Originality Question
  128.    wt: 1:   13 Trig Formulas for dot and cross Products
  129.    wt: 1:   12 cis formulas for sine cosines and tangent
  130.    wt: 1:   11 sine and cosine double triple angle formulas
  131.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  132.    wt: 1:   3 Trigonometric Ratios sine and cosine
  133.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  134.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  135.    wt: 1:   8 Similarity of Triangles and Polygons
  136.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  137.    wt: 1:   10 Midpoint of [a b] and [b a]
  138.    wt: 1:   7 Exercises to test skill and concept mastery
  139.    wt: 1:   5 Algebraic View of Slopes
  140.    wt: 1:   1 Numerical view of lines and their equations
  141.    wt: 1:   What is and is not here
  142.    wt: 1:   6 Polar Multiplication and Rotation
  143.    wt: 1:   5 Cartesian Addition and Translation
  144.    wt: 1:   4 Polar Coordinates to and from
  145.    wt: 1:   16 Angles Subtended By Chords and Diameters
  146.    wt: 1:   6 Ruler and compass Angle Bisection
  147.    wt: 1:   1 Initial Concepts and Terms
  148.    wt: 1:   A Modular and Remainder Arithmetic
  149.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  150.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  151.    wt: 1:   13 Arrows and Vectors in a Plane
  152.    wt: 1:   11 Signed Number Addition and Addition Properties
  153.    wt: 1:   8 Division and Mulplication of Compound Fractions
  154.    wt: 1:   B Decimal Comparison and Subtraction
  155.    wt: 1:   2 Combing Counts Addition Skills and Principles
  156.    wt: 1:   3 Inequalities Algebraically
  157.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  158.    wt: 1:   4 Rates Ratios and Proporitionality
  159.    wt: 1:   2 Algebraic View
  160.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  161.    wt: 1:   6 Compound Interest Forward and Backwards
  162.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  163.    wt: 1:   6 Equations and Systems Equivalent or Implied
  164.    wt: 1:   5 Equality in Algebra
  165.    wt: 1:   4 Subtraction and Division Axioms
  166.    wt: 1:   2 Addition and Multiplication Axioms
  167.    wt: 1:   3 More and Less Than with Unlike Signs
  168.    wt: 1:   10 Real Number Lengths and Signs
  169.    wt: 1:   8 Coordinates for Maps and Planes
  170.    wt: 1:   3 Geometric Formulas and Function Notation
  171.    wt: 1:   1 Formulas Dependence and Function Notation
  172.    wt: 1:   3 GE III Equation Addition and Multiplication
  173.    wt: 1:   6 Algebraic Solution Example
  174.    wt: 1:   5 Algebraic Solutions Introduction
  175.    wt: 1:   1 Written work formats for developing and showing skill
  176.    wt: 1:   9 Sets in Probability and Statistics
  177.    wt: 1:   5 Talking about Numbers and Quantities
  178.    wt: 1:   1 Three Skills For Algebra
  179.    wt: 1:   2 More and Less Than with Unlike Signs
  180.    wt: 1:   5 Square Roots with primes more still
  181.    wt: 1:   4 Square Roots with primes more
  182.    wt: 1:   3 Properties of Square Roots with example
  183.    wt: 1:   2 Square Roots with Prime
  184.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  185.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  186.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  187.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  188.    wt: 1:   7 GCD and LCM from prime factorization
  189.    wt: 1:   4 LCM of 8 and 10 via Prime
  190.    wt: 1:   3 Counting with Tables and Trees II
  191.    wt: 1:   2 Counting with Tables and Trees I
  192.    wt: 1:   1 Counting and Counting Methods I
  193.    wt: 1:   11 What are real lengths and numbers
  194.    wt: 1:   7 negative and additive inverse
  195.    wt: 1:   5 lengths and signs of numbers
  196.    wt: 1:   3 signed coordinates for maps and planes
  197.    wt: 1:   2 signed and unsigned numbers as coordinates
  198.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  199.    wt: 1:   3 Multiplying Units and Numbers
  200.    wt: 1:   2 Equality and Units
  201.    wt: 1:   1 Addition and Subtraction with Units
  202.    wt: 1:   B Fractions and Two Term Ratios
  203.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  204.    wt: 1:   21 Reciprocals for Fractions and Wholes
  205.    wt: 1:   17 Efficient Ways to Add and Subtract
  206.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  207.    wt: 1:   14 Adding and Subtracting with Like Denominators
  208.    wt: 1:   13 Fraction Comparison Algebraic View
  209.    wt: 1:   11 Simplification an Algebraic View
  210.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  211.    wt: 1:   9 Improper Fractions and Mixed Numbers
  212.    wt: 1:   6 Multiplication Algebraically Take II
  213.    wt: 1:   11 Adding Integers Formulas and Examples
  214.    wt: 1:   6 Multiplication by Natural Numbers
  215.    wt: 1:   5 Zero Movement and Additive Inverses
  216.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  217.    wt: 1:   17 Identify and Count Factors using Primes
  218.    wt: 1:   12 LCD GCD and LCM using Primes
  219.    wt: 1:   7 Calculator Usage Notes and Cautions
  220.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  221.    wt: 1:   5 Prime Factorization and a Square Rule
  222.    wt: 1:   3 video Primes and Composites from 9 times table
  223.    wt: 1:   2 Prime and Composites less than 16
  224.    wt: 1:   Division with Counts and Length
  225.    wt: 1:   Long Division forwards and backwards Example 3
  226.    wt: 1:   Long Division forwards and backwards Example 2
  227.    wt: 1:   Long Division forwards and backwards Example 1
  228.    wt: 1:   10 Division by Five Long and Short Ways
  229.    wt: 1:   C Counting Areas with Powers of Ten
  230.    wt: 1:   B Powers of Ten
  231.    wt: 1:   4 Two and Three Digit Multipliers
  232.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  233.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  234.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  235.    wt: 1:   8 What skills and work habits to require
  236.    wt: 1:   11 Place Value SI Standard International way
  237.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  238.    wt: 1:   Exact Arithmetic Wholes and Fractions
  239.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  240.    wt: 1:   015 School and work day counting tables
  241.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  242.    wt: 1:   4 Mixing and Changing Units of Time
  243.    wt: 1:   3 Units and Lengths of Time
  244.    wt: 1:   2 Time and Date Matters in School
  245.    wt: 1:   Example 1. Area Between x and x squared
  246.    wt: 1:   21 Chain Rule for powers
  247.    wt: 1:   17 Derivatives of quotients of sine and cosine
  248.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  249.    wt: 1:   15 sine and cosine derivatives 3rd step
  250.    wt: 1:   14 sine and cosine derivatives 2nd step
  251.    wt: 1:   13 sine and cosine derivatives 1st step
  252.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  253.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  254.    wt: 1:   9 Limits Continuity and Composition
  255.    wt: 1:   5 Jumps and absence of unlimited error control
  256.    wt: 1:   2 Algebraic codification
  257.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  258.    wt: 1:   E2 Algebraic Properties of Limits
  259.    wt: 1:   PostScript For and Against Decimal Perspectives
  260.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  261.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  262.    wt: 1:   Chapter 12. Units and Slopes
  263.    wt: 1:   Chapter 10 Slopes and Units
  264.    wt: 1:   Chapter 7 Slopes and Velocity
  265.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  266.    wt: 1:   Chapter 2. Slopes and Ski Trails
  267.    wt: 1:   Appendix E. How To Study Mathematics and Why
  268.    wt: 1:   Appendix D. What to do in School and Why
  269.    wt: 1:   Chapter 31 Direct and Indirect Reason
  270.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  271.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  272.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  273.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  274.    wt: 1:   Chapter 20. Degrees and Radians
  275.    wt: 1:   Chapter 19. Functions and Sets
  276.    wt: 1:   Chapter 18. Rules for Algebra
  277.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  278.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  279.    wt: 1:   Chapter 12. Shorthand Usage Guide
  280.    wt: 1:   Chapter 11. Why Shorthand
  281.    wt: 1:   Chapter 10 Describing and Changing Calculations
  282.    wt: 1:   Chapter 8 Three Skills For Algebra
  283.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  284.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  285.    wt: 1:   Chapter 3 Algebra Difficulties
  286.    wt: 1:   Chapter 2 For and Against Mathematics
  287.    wt: 1:   Postscript B More on Story Telling and Reason
  288.    wt: 1:   Chapter 24 Direct and Indirect Reason
  289.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  290.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  291.    wt: 1:   Chapter 18 Sense and Knowledge
  292.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  293.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  294.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  295.    wt: 1:   S Adding words to algebra
  296.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  297.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  298.    wt: 1:   O On Learning Mathematics and Science
  299.    wt: 1:   N Improving Marks on Tests and Finals
  300.    wt: 1:   J. More on written work and showing skill
  301.    wt: 1:   I. Logic and language skills
  302.    wt: 1:   H Jigsaw puzzles and problem solving
  303.    wt: 1:   G. Written work formats for developing and showing skill
  304.    wt: 1:   E. When and how to correct errors
  305.    wt: 1:   How to Build Skills and Confidence
  306.    wt: 1:   Helping the Blind in Logic and Mathematics
  307.    wt: 1:   Systematic Algebra Skill Development Missing Links
  308.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  309.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  310.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

855 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 Polar Multiplication and Rotation
  7.    wt: 6:   6 Algebraic Solution Example
  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: 6:   6 Sieve of Eratosthenes and Square Rule
  12.    wt: 6:   3 video Primes and Composites from 9 times table
  13.    wt: 6:   38 Formulas and derivatives for powers and roots
  14.    wt: 5:   6 Set Existence Formation and Notation
  15.    wt: 5:   3 Rectangular Coordinates Review
  16.    wt: 5:   3 More and Less Than with Unlike Signs
  17.    wt: 5:   2 More and Less Than for Counts and Measures
  18.    wt: 5:   3 GE III Equation Addition and Multiplication
  19.    wt: 5:   3 Solving triangular system example
  20.    wt: 5:   3 Four Examples
  21.    wt: 5:   6 Three Examples
  22.    wt: 5:   3 Two Examples
  23.    wt: 5:   1 Squares and Square Roots Introduction
  24.    wt: 5:   B Fractions and Two Term Ratios
  25.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  26.    wt: 5:   21 Reciprocals for Fractions and Wholes
  27.    wt: 5:   17 Efficient Ways to Add and Subtract
  28.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  29.    wt: 5:   14 Adding and Subtracting with Like Denominators
  30.    wt: 5:   13 Fraction Comparison Algebraic View
  31.    wt: 5:   11 Simplification an Algebraic View
  32.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  33.    wt: 5:   8 Numerals Fractionals Quantals Take II
  34.    wt: 5:   7 Numerals Fractionals Quantals
  35.    wt: 5:   3 Unit fraction of a fraction
  36.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  37.    wt: 5:   6. Counting and adding units and mixed units
  38.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  39.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  40.    wt: 4:   3 Formula or function graphing exercise
  41.    wt: 4:   9 quadratics physical and further context
  42.    wt: 4:   6 quadratics numerical approach
  43.    wt: 4:   3 quadratics factoring by inspection
  44.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  45.    wt: 4:   21 Logarithms Powers and Exponentials
  46.    wt: 4:   3 Trigonometric Ratios sine and cosine
  47.    wt: 4:   5 Cartesian Addition and Translation
  48.    wt: 4:   4 Polar Coordinates to and from
  49.    wt: 4:   6 Ruler and compass Angle Bisection
  50.    wt: 4:   6 Column Methods for Decimal Multiplication
  51.    wt: 4:   3 Multiplicative Counting Skills Principles
  52.    wt: 4:   3 Inequalities Algebraically
  53.    wt: 4:   3 Proportionality Examples
  54.    wt: 4:   6 Compound Interest Forward and Backwards
  55.    wt: 4:   6 Equations and Systems Equivalent or Implied
  56.    wt: 4:   3 Geometric Formulas and Function Notation
  57.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  58.    wt: 4:   5 Algebraic Solutions Introduction
  59.    wt: 4:   3 Comparison of Negative Numbers
  60.    wt: 4:   1 More and Less Than for Counts and Measures
  61.    wt: 4:   5 Square Roots with primes more still
  62.    wt: 4:   4 Square Roots with primes more
  63.    wt: 4:   3 Properties of Square Roots with example
  64.    wt: 4:   2 Square Roots with Prime
  65.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  66.    wt: 4:   D Three Term Ratios
  67.    wt: 4:   22 Complex Compound Fractions
  68.    wt: 4:   21 Working With Signs
  69.    wt: 4:   20 Dividing Fractions the Why
  70.    wt: 4:   19 Dividing Fractions How TO
  71.    wt: 4:   18 Efficient Ways to Multiply
  72.    wt: 4:   16 Addition Subtraction Comparision Compared
  73.    wt: 4:   12 Fraction Comparison
  74.    wt: 4:   5 Equivalent Fractions
  75.    wt: 4:   4 Fraction Multiplication
  76.    wt: 4:   2 Unit Fraction Multiplication
  77.    wt: 4:   1 What is a fraction Take II
  78.    wt: 4:   1 What is a fraction
  79.    wt: 4:   6 Multiplication by Natural Numbers
  80.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  81.    wt: 4:   17 Identify and Count Factors using Primes
  82.    wt: 4:   12 LCD GCD and LCM using Primes
  83.    wt: 4:   7 Calculator Usage Notes and Cautions
  84.    wt: 4:   5 Prime Factorization and a Square Rule
  85.    wt: 4:   2 Prime and Composites less than 16
  86.    wt: 4:   6 Multiplication Commutes Order Not Important
  87.    wt: 4:   3 More One Digit Multipliers
  88.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  89.    wt: 4:   More Algebra and Slope based Calculus Preview
  90.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  91.    wt: 4:   Systematic Algebra Skill Development Missing Links
  92.    wt: 3:   5 logarithms and exponentials etc
  93.    wt: 3:   26 Function definitions done and coming
  94.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  95.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  96.    wt: 3:   19 Horizontal line rule and method
  97.    wt: 3:   18 Vertical Line Rule and Method
  98.    wt: 3:   17 Function maxima minima and their location
  99.    wt: 3:   11 Function Domain Range Source and Targets
  100.    wt: 3:   8 Set view of relations and functions
  101.    wt: 3:   4 Function notation in and beyond mathematics
  102.    wt: 3:   2 Algebraic use of function notation
  103.    wt: 3:   A Quadratics Summary
  104.    wt: 3:   10 quadratic exercises
  105.    wt: 3:   8 quadratics backward use of various formulas
  106.    wt: 3:   7 quadratic formulla derivation
  107.    wt: 3:   5 quadratics completing the square
  108.    wt: 3:   4 quadratics difference of two squares
  109.    wt: 3:   2 quadratics graphing in general
  110.    wt: 3:   1 quadratics graphing exercises
  111.    wt: 3:   Quadratics in 10 steps
  112.    wt: 3:   3 Polynomials Multiplication Addition
  113.    wt: 3:   Rewriting algebraic substitution as function substitutions
  114.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  115.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  116.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  117.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  118.    wt: 3:   6 Intersection of lines by solving linear systems
  119.    wt: 3:   3 Slope product for perpendicular lines
  120.    wt: 3:   13 Pythagorean spatial distance formulas
  121.    wt: 3:   12 Spatial Coordinates
  122.    wt: 3:   11 Triangle Inequality
  123.    wt: 3:   10 Pythagorean plane distance formula
  124.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  125.    wt: 3:   8 Distance Between Points on a Line
  126.    wt: 3:   7 Complex Numbers Appetizer
  127.    wt: 3:   2 Cartesian Coordinates with signs
  128.    wt: 3:   1 Cartesian Coordinates sans signs
  129.    wt: 3:   3 Isometry of Triangles Congruence
  130.    wt: 3:   3 Lengths and Areas on Maps and Plans
  131.    wt: 3:   B Decimal Comparison and Subtraction
  132.    wt: 3:   2 Combing Counts Addition Skills and Principles
  133.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  134.    wt: 3:   4 Rates Ratios and Proporitionality
  135.    wt: 3:   2 Algebraic View
  136.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  137.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  138.    wt: 3:   3 Linear Equation Literal Solution More
  139.    wt: 3:   5 Equality in Algebra
  140.    wt: 3:   4 Subtraction and Division Axioms
  141.    wt: 3:   3 Product Axioms Two Forms
  142.    wt: 3:   2 Addition and Multiplication Axioms
  143.    wt: 3:   5 Greater More Less Than Signs in General
  144.    wt: 3:   4 Comparison of Negative Numbers
  145.    wt: 3:   1 Real Numbers Comparison
  146.    wt: 3:   1 Whole and Natural Numbers
  147.    wt: 3:   1 Formulas Dependence and Function Notation
  148.    wt: 3:   4 Solving a triangular system exercise
  149.    wt: 3:   2 Essentially one exercises three with solution
  150.    wt: 3:   1 Essentially One Unknown
  151.    wt: 3:   4 Four Examples Fractional Coefficients
  152.    wt: 3:   2 Three Examples
  153.    wt: 3:   1 Proper Equal Sign Usage
  154.    wt: 3:   Skill Development Notes
  155.    wt: 3:   10 One Example
  156.    wt: 3:   9 Three Examples
  157.    wt: 3:   8 One Example
  158.    wt: 3:   7 Two Examples
  159.    wt: 3:   5 Three Examples
  160.    wt: 3:   4 Two Examples
  161.    wt: 3:   2 Three Examples
  162.    wt: 3:   4 A Brief Story of numbers and algebra
  163.    wt: 3:   2 More and Less Than with Unlike Signs
  164.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  165.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  166.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  167.    wt: 3:   7 GCD and LCM from prime factorization
  168.    wt: 3:   6 GCD from Prime
  169.    wt: 3:   5 Common Divisors 60 45 via Prime
  170.    wt: 3:   4 LCM of 8 and 10 via Prime
  171.    wt: 3:   2 Least Common Multiple LCM intro via list method
  172.    wt: 3:   12 GCD 2700 288 via Prime
  173.    wt: 3:   3 Counting with Tables and Trees II
  174.    wt: 3:   2 Counting with Tables and Trees I
  175.    wt: 3:   1 Counting and Counting Methods I
  176.    wt: 3:   6 adding signed numbers
  177.    wt: 3:   3 signed coordinates for maps and planes
  178.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  179.    wt: 3:   3 Multiplying Units and Numbers
  180.    wt: 3:   2 Equality and Units
  181.    wt: 3:   1 Addition and Subtraction with Units
  182.    wt: 3:   3 Adding Movements with same direction
  183.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  184.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  185.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  186.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  187.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  188.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  189.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  190.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  191.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  192.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  193.    wt: 3:   20 Uniqueness of Prime Factorization
  194.    wt: 3:   19 video Prime Factorization Unique
  195.    wt: 3:   18 video Count Factors given Prime Factorization
  196.    wt: 3:   16 video Factors of 980 using prime
  197.    wt: 3:   15 video Factors of 20 using Prime Factorization
  198.    wt: 3:   14 video Factors of 24 Take II
  199.    wt: 3:   13 video Factors of 24 using prime
  200.    wt: 3:   11 Efficient Square Rule Use
  201.    wt: 3:   10 video Prime Factorization upto 23 squared
  202.    wt: 3:   9 video Prime Factorization upto 19 squared
  203.    wt: 3:   8 video Prime Factorization upto 19
  204.    wt: 3:   4 video Prime Factorization Introduction
  205.    wt: 3:   1 video how Products are bigger than factor
  206.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  207.    wt: 3:   3 Division Single Digit Divisor Example
  208.    wt: 3:   C Counting Areas with Powers of Ten
  209.    wt: 3:   B Powers of Ten
  210.    wt: 3:   4 Two and Three Digit Multipliers
  211.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  212.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  213.    wt: 3:   8 What skills and work habits to require
  214.    wt: 3:   3. How to add with decimals A sans conversions
  215.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  216.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  217.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  218.    wt: 3:   Quick history of numbers and algebra
  219.    wt: 3:   6 Continuity at a point
  220.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  221.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  222.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  223.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  224.    wt: 3:   Implementation Notes
  225.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  226.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  227.    wt: 2:   teaching tutoring algebraic reason
  228.    wt: 2:   Motivation and Context Problem
  229.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  230.    wt: 2:   3 Preparing for Science Studies
  231.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  232.    wt: 2:   sign monoticity analysis example 4
  233.    wt: 2:   sign monoticity analysis example 3
  234.    wt: 2:   sign monoticity analysis example 2
  235.    wt: 2:   sign monoticity analysis example 1
  236.    wt: 2:   23 Inverse Functions
  237.    wt: 2:   22 Square Root function graphically
  238.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  239.    wt: 2:   20 Interchanging coordinates a reflection
  240.    wt: 2:   16 Increasing or decreasing on intervals
  241.    wt: 2:   15 Sign analysis of functions
  242.    wt: 2:   14 Surjections Injections Bijections
  243.    wt: 2:   13 From one to one to many to one
  244.    wt: 2:   12 Function Domain Recognition Exercises
  245.    wt: 2:   10 Interval Notation
  246.    wt: 2:   9 Set theory term relation possible origins
  247.    wt: 2:   7 Functions with finite domains
  248.    wt: 2:   5 Function notation for geometric transformations
  249.    wt: 2:   1 Geometric Introduction of Function Notation
  250.    wt: 2:   Introduction Reading Guide
  251.    wt: 2:   8 Notes for instructors or tutors
  252.    wt: 2:   7 Links Lessons Elsewhere
  253.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  254.    wt: 2:   4 Polynomials Long division linear divisor
  255.    wt: 2:   2 Column Multiplication Method
  256.    wt: 2:   1 Polynomials Distributive Law
  257.    wt: 2:   9 Summary Degrees to Radians and back
  258.    wt: 2:   1 Degrees and Radians Introduction
  259.    wt: 2:   3 Navigation with Arrows or Vectors
  260.    wt: 2:   3 graphing y=f(x c) plus K
  261.    wt: 2:   Parallel Lines and Parallel Transversals
  262.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  263.    wt: 2:   Parallel Lines and Interior Angles
  264.    wt: 2:   Straight Lines Intersection of
  265.    wt: 2:   14 Straight Lines Equations General Case
  266.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  267.    wt: 2:   12 Straight Lines Graphing mx plus b
  268.    wt: 2:   11 Straight Lines Graphing y=mx
  269.    wt: 2:   10 Straight Lines through Origin Equations More
  270.    wt: 2:   9 Straight Lines through Origin Equations
  271.    wt: 2:   14 cosine even and sine and tangent are odd
  272.    wt: 2:   9 Graphs of sine and cosine over one period
  273.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  274.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  275.    wt: 2:   6 Field Properties of Complex Number
  276.    wt: 2:   3 Addition Properties
  277.    wt: 2:   8 Triangles Cascade Problem Solving
  278.    wt: 2:   7 Trignometric Ratios Unit Circle
  279.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  280.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  281.    wt: 2:   1 Angle Measurement with Degrees
  282.    wt: 2:   Why Trigonometry the whyslopes view
  283.    wt: 2:   10 Midpoint of [a b] and [b a]
  284.    wt: 2:   7 Exercises to test skill and concept mastery
  285.    wt: 2:   5 Algebraic View of Slopes
  286.    wt: 2:   1 Numerical view of lines and their equations
  287.    wt: 2:   What is and is not here
  288.    wt: 2:   16 Angles Subtended By Chords and Diameters
  289.    wt: 2:   1 Initial Concepts and Terms
  290.    wt: 2:   A Modular and Remainder Arithmetic
  291.    wt: 2:   26 More Less Greater Than Comparison
  292.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  293.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  294.    wt: 2:   23 Distributive Law Two Derivations
  295.    wt: 2:   22 Multiplication of Signed Numbers
  296.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  297.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  298.    wt: 2:   13 Arrows and Vectors in a Plane
  299.    wt: 2:   11 Signed Number Addition and Addition Properties
  300.    wt: 2:   8 Division and Mulplication of Compound Fractions
  301.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  302.    wt: 2:   3 Location of Point in Decimal Multiplication
  303.    wt: 2:   E Long Division Methods more
  304.    wt: 2:   D Long Division Methods
  305.    wt: 2:   C Three Decimal Subtraction Methods
  306.    wt: 2:   A Decimal Addition Columm Methods
  307.    wt: 2:   8 Column Multiplication Methods in General
  308.    wt: 2:   7 Decimals Multiplication Methods Examples
  309.    wt: 2:   5 Distributive Law for Whole Numbers
  310.    wt: 2:   4 Commutative Law Groups Counting Form
  311.    wt: 2:   1 The Counting Origins of Numbers
  312.    wt: 2:   5 Areas of Rectangles Revisited
  313.    wt: 2:   4 Fraction Operations Axiomatic Development
  314.    wt: 2:   2 Fraction Operations Physical Development
  315.    wt: 2:   5 Proportionality in Equivalent Fractions
  316.    wt: 2:   1 What is Proportionality
  317.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  318.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  319.    wt: 2:   5 Triangle Area Formula Backwards
  320.    wt: 2:   2 Linear Equation Literal Solution
  321.    wt: 2:   1 Changing Calculations
  322.    wt: 2:   1 Equivalent Computation Rules
  323.    wt: 2:   10 Real Number Lengths and Signs
  324.    wt: 2:   8 Coordinates for Maps and Planes
  325.    wt: 2:   6 Unsigned Real Numbers
  326.    wt: 2:   3 Fractions
  327.    wt: 2:   5 Independent versus Dependent Variables
  328.    wt: 2:   4 Changing Letters
  329.    wt: 2:   2 Computation Rules Evaluation
  330.    wt: 2:   More Exercises
  331.    wt: 2:   Simple Exercises
  332.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  333.    wt: 2:   4 GE III Animated Examples
  334.    wt: 2:   2 GE II Comparison
  335.    wt: 2:   1 GE Substitution four examples
  336.    wt: 2:   Using Letters for Physical Quantities
  337.    wt: 2:   Formula Usage Show Work Format
  338.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  339.    wt: 2:   3 Triangle Area Formula Example
  340.    wt: 2:   1 Written work formats for developing and showing skill
  341.    wt: 2:   9 Sets in Probability and Statistics
  342.    wt: 2:   6 Power Set Notation
  343.    wt: 2:   3 Counting with Sets etc
  344.    wt: 2:   6 Three Notions of What is a Variable
  345.    wt: 2:   5 Talking about Numbers and Quantities
  346.    wt: 2:   3 Adding Words To Arithmetic
  347.    wt: 2:   1 Three Skills For Algebra
  348.    wt: 2:   4 Greater More Less Than Signs in General
  349.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  350.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  351.    wt: 2:   13 GCD from given Prime Factorization
  352.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  353.    wt: 2:   8 GCD from Euclidean Algorithm
  354.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  355.    wt: 2:   1 Least Common Multiples LCM Introduction
  356.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  357.    wt: 2:   4 Counting with Trees Product Rule Take I
  358.    wt: 2:   11 What are real lengths and numbers
  359.    wt: 2:   7 negative and additive inverse
  360.    wt: 2:   5 lengths and signs of numbers
  361.    wt: 2:   2 signed and unsigned numbers as coordinates
  362.    wt: 2:   7 Converting or Changing Units
  363.    wt: 2:   6 Simplification of Fractions with Units
  364.    wt: 2:   4 Fractions with Units
  365.    wt: 2:   11 Adding Integers Formulas and Examples
  366.    wt: 2:   5 Zero Movement and Additive Inverses
  367.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  368.    wt: 2:   26 Divisibility by 2 3 5 Example
  369.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  370.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  371.    wt: 2:   23 Remainder Arithmetic Modulo 2
  372.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  373.    wt: 2:   21 Remainder Arithmetic Modulo 3
  374.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  375.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  376.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  377.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  378.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  379.    wt: 2:   5 Remainder Arithmetic Modulo 5
  380.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  381.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  382.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  383.    wt: 2:   1 Remainder Arithmetic Modulo 10
  384.    wt: 2:   Division with Counts and Length
  385.    wt: 2:   Long Division forwards and backwards Example 3
  386.    wt: 2:   Long Division forwards and backwards Example 2
  387.    wt: 2:   Long Division forwards and backwards Example 1
  388.    wt: 2:   10 Division by Five Long and Short Ways
  389.    wt: 2:   D Decimal Multiplication Methods Derived
  390.    wt: 2:   A Elementary Basis for Multiplication Methods
  391.    wt: 2:   5 Decimal Fraction Multiplication
  392.    wt: 2:   2 One Digit Multipliers
  393.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  394.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  395.    wt: 2:   Video Power Notation in Decimal Expansion
  396.    wt: 2:   1 Why 3 times 5 gives 15
  397.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  398.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  399.    wt: 2:   Subtraction with J Conversions Example
  400.    wt: 2:   Subtraction Another Video Lesson
  401.    wt: 2:   9 22 Minute Subtraction Review Video
  402.    wt: 2:   8 Subtraction with Units of Measure
  403.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  404.    wt: 2:   5 A Tip for Efficent Subtraction
  405.    wt: 2:   2 Subtraction Easy Case Examples
  406.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  407.    wt: 2:   7 Adding decimal fractions using decimal point
  408.    wt: 2:   5. How to add decimals C. Examples
  409.    wt: 2:   4. How to add with decimals B with conversions
  410.    wt: 2:   2 Decimal Counting Practices
  411.    wt: 2:   1. Explaining Addition Table
  412.    wt: 2:   11 Place Value SI Standard International way
  413.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  414.    wt: 2:   Exact Arithmetic Wholes and Fractions
  415.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  416.    wt: 2:   3 Units and Lengths of Time
  417.    wt: 2:   Example 2 volume of a cone
  418.    wt: 2:   Example 1 volume of a pyramid
  419.    wt: 2:   Volume of Solid by Cross Sections Lesson
  420.    wt: 2:   Example 1. Area Between x and x squared
  421.    wt: 2:   Example 4 with x function of y
  422.    wt: 2:   Example 3
  423.    wt: 2:   Example 2
  424.    wt: 2:   Example 1
  425.    wt: 2:   3 Second derivative test
  426.    wt: 2:   2 Second derivative test prequel
  427.    wt: 2:   36 Cube root derivative animated
  428.    wt: 2:   34 Derivative of exponential function
  429.    wt: 2:   33 Chain Rule Real Player video examples
  430.    wt: 2:   31 Derivatives of inverse functions
  431.    wt: 2:   30Chain Rule A Proof
  432.    wt: 2:   21 Chain Rule for powers
  433.    wt: 2:   17 Derivatives of quotients of sine and cosine
  434.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  435.    wt: 2:   15 sine and cosine derivatives 3rd step
  436.    wt: 2:   14 sine and cosine derivatives 2nd step
  437.    wt: 2:   13 sine and cosine derivatives 1st step
  438.    wt: 2:   12 Quotient rule examples
  439.    wt: 2:   6 Power rule from product rule
  440.    wt: 2:   3 Motivation for Limit Definition Take 2
  441.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  442.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  443.    wt: 2:   9 Limits Continuity and Composition
  444.    wt: 2:   5 Jumps and absence of unlimited error control
  445.    wt: 2:   4 Numerical properties
  446.    wt: 2:   2 Algebraic codification
  447.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  448.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  449.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  450.    wt: 2:   Chapter 12. Units and Slopes
  451.    wt: 2:   Chapter 10 Slopes and Units
  452.    wt: 2:   Chapter 7 Slopes and Velocity
  453.    wt: 2:   Chapter 3. Slope Sign Analysis
  454.    wt: 2:   Chapter 2. Slopes and Ski Trails
  455.    wt: 2:   Appendix E. How To Study Mathematics and Why
  456.    wt: 2:   Appendix D. What to do in School and Why
  457.    wt: 2:   Chapter 31 Direct and Indirect Reason
  458.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  459.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  460.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  461.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  462.    wt: 2:   Chapter 20. Degrees and Radians
  463.    wt: 2:   Chapter 19. Functions and Sets
  464.    wt: 2:   Chapter 18. Rules for Algebra
  465.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  466.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  467.    wt: 2:   Chapter 12. Shorthand Usage Guide
  468.    wt: 2:   Chapter 11. Why Shorthand
  469.    wt: 2:   Chapter 10 Describing and Changing Calculations
  470.    wt: 2:   Chapter 8 Three Skills For Algebra
  471.    wt: 2:   Chapter 6 Change of Language
  472.    wt: 2:   Chapter 3 Chains of Reason
  473.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  474.    wt: 2:   Chapter 3 Algebra Difficulties
  475.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  476.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  477.    wt: 2:   S Adding words to algebra
  478.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  479.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  480.    wt: 2:   O On Learning Mathematics and Science
  481.    wt: 2:   N Improving Marks on Tests and Finals
  482.    wt: 2:   J. More on written work and showing skill
  483.    wt: 2:   I. Logic and language skills
  484.    wt: 2:   H Jigsaw puzzles and problem solving
  485.    wt: 2:   G. Written work formats for developing and showing skill
  486.    wt: 2:   F. The student teacher tutor feedback loop
  487.    wt: 2:   E. When and how to correct errors
  488.    wt: 2:   C. Domino effect of being careful
  489.    wt: 2:   How to Build Skills and Confidence
  490.    wt: 2:   Helping the Blind in Logic and Mathematics
  491.    wt: 1:   Appendix 1 primary and preschool mathematic
  492.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  493.    wt: 1:   Ramblings Introduction Algebra Essay
  494.    wt: 1:   Skills Chapter 3 Algebra
  495.    wt: 1:   7 logic review and decimals an odd combination
  496.    wt: 1:   6 polynomials etc
  497.    wt: 1:   4 algebra
  498.    wt: 1:   3 Euclidean Geometry Leanly
  499.    wt: 1:   permissions for teachers
  500.    wt: 1:   Math Ed if it must be short make it lean effective
  501.    wt: 1:   key notes and themes
  502.    wt: 1:   what should be learnt and When
  503.    wt: 1:   Education Reform Inconsistencies
  504.    wt: 1:   talk the algebra talk
  505.    wt: 1:   teaching tips
  506.    wt: 1:   geometric implications for algebra
  507.    wt: 1:   Lessening Algebra Difficulties
  508.    wt: 1:   the trouble with algebra
  509.    wt: 1:   standards for course material
  510.    wt: 1:   Operational Viewpoint to Value
  511.    wt: 1:   Education in mathematics science and technology
  512.    wt: 1:   Different Kinds of Reasoning in maths
  513.    wt: 1:   fairness and inductive principles for instruction
  514.    wt: 1:   chapitre 06 00 Chaines de la raison
  515.    wt: 1:   chapitre 04 06 engagements
  516.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  517.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  518.    wt: 1:   liens
  519.    wt: 1:   logique deux enigme
  520.    wt: 1:   3 Energy Power Heat08
  521.    wt: 1:   1 Energy Power Heat06
  522.    wt: 1:   C Energy Power03
  523.    wt: 1:   E Wire Resistance Calculation03
  524.    wt: 1:   3 Like resistors in parallel
  525.    wt: 1:   E Kirchoffs Second Law
  526.    wt: 1:   B Electromotive force conventional current01
  527.    wt: 1:   Home Tutoring and Home Schooling
  528.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  529.    wt: 1:   24 Standards For Skill Develoment Take II
  530.    wt: 1:   24 Standards For Skill Develoment
  531.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  532.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  533.    wt: 1:   17 Math Booklets for children and young teenagers
  534.    wt: 1:   14 Multiplication and Times Tables
  535.    wt: 1:   13 Addition and Addition Tables
  536.    wt: 1:   12 Goals and Objectives For Mathematics
  537.    wt: 1:   11 Help and Defend Your Child or Teens Education
  538.    wt: 1:   5 Patience Please for Yourself and Your Charges
  539.    wt: 1:   4 Learning Takes Time and Effort
  540.    wt: 1:   2 Reading and Writing Skills
  541.    wt: 1:   Ages 3 plus to 4 plus
  542.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  543.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  544.    wt: 1:   16 cotangent function Definition Graph and Inverse
  545.    wt: 1:   15 cosecant function Definition Graph and Inverse
  546.    wt: 1:   14 secant function Definition Graph and Inverse
  547.    wt: 1:   13 cosecant function Definition Graph and Inverse
  548.    wt: 1:   8 Radian Measures of Common Angles
  549.    wt: 1:   7 Radian Measures in special Triangles
  550.    wt: 1:   6 Radian Measure to Degrees
  551.    wt: 1:   5 Degrees to Radian Measure
  552.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  553.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  554.    wt: 1:   2 Radian Measure Numerical Value of one degree
  555.    wt: 1:   A Global Time and Navigation
  556.    wt: 1:   15 Dot and Cross Product
  557.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  558.    wt: 1:   6 Vectors with Coordinates
  559.    wt: 1:   Vector and Complex Number Applet
  560.    wt: 1:   4 graphing y=Asin(x c)
  561.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  562.    wt: 1:   1 graphing y=f(x a)
  563.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  564.    wt: 1:   Triangle Angles Sum To 180 Degrees
  565.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  566.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  567.    wt: 1:   Straight Lines ASA Intersection Study More
  568.    wt: 1:   Straight Lines ASA Intersection Study
  569.    wt: 1:   Straight Lines Instersection Solving Equations
  570.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  571.    wt: 1:   C Straight Lines Slope from Coordinates
  572.    wt: 1:   B Straight Line Slope Scaling Properties More
  573.    wt: 1:   A Straight Line Slope Scaling Properties
  574.    wt: 1:   8 Straight Lines Equation for vertical
  575.    wt: 1:   7 Tangent Function is odd on this domain
  576.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  577.    wt: 1:   5 Tangent Function Graph
  578.    wt: 1:   4 Tangent Function Properties
  579.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  580.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  581.    wt: 1:   1 Straight Lines Slope Concept
  582.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  583.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  584.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  585.    wt: 1:   31 basic secant cosecant cotangent trig identities
  586.    wt: 1:   29 secant cosecant and cotangent for acute angles
  587.    wt: 1:   27 Logarithmic use of products of sines and cosines
  588.    wt: 1:   26 Formulas for products of sines and cosines
  589.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  590.    wt: 1:   21 sine and cosine Half Angle Formulas
  591.    wt: 1:   20 sine and cosine Double Angle Formulas
  592.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  593.    wt: 1:   17E Trig Formulas for dot and cross Products
  594.    wt: 1:   17D cis formulas for sine cosines and tangent
  595.    wt: 1:   17C sine and cosine double triple angle formulas
  596.    wt: 1:   10 Graphs of sines and cosines many periods
  597.    wt: 1:   7 period of sine and cosine
  598.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  599.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  600.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  601.    wt: 1:   20 N th Roots of Complex Numbers
  602.    wt: 1:   19 N th Roots of Unity
  603.    wt: 1:   18 Sixth Roots of Unity
  604.    wt: 1:   17 Cube Roots of unity
  605.    wt: 1:   16 References and Originality Question
  606.    wt: 1:   13 Trig Formulas for dot and cross Products
  607.    wt: 1:   12 cis formulas for sine cosines and tangent
  608.    wt: 1:   11 sine and cosine double triple angle formulas
  609.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  610.    wt: 1:   8 Similarity of Triangles and Polygons
  611.    wt: 1:   6 Geometric Diagrams in Class
  612.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  613.    wt: 1:   3 Similarity by Design with coordinates
  614.    wt: 1:   Four Simple Exercises
  615.    wt: 1:   12 Links Lessons elsewhere
  616.    wt: 1:   11 A Partial Summary
  617.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  618.    wt: 1:   8 Mid Point Formula
  619.    wt: 1:   4 Equations for lines three forms
  620.    wt: 1:   2 point slope equation for a line
  621.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  622.    wt: 1:   PS H Distributive Law For Complex Numbers
  623.    wt: 1:   PS G Rotation Distributes over Addition
  624.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  625.    wt: 1:   PS E Multiplication with Polar Coordinates
  626.    wt: 1:   PS D Addition with Cartesian Coordinates
  627.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  628.    wt: 1:   PS B Parallelogram Construction Methods
  629.    wt: 1:   PS A Kite Construction Methods
  630.    wt: 1:   21 Parallelograms
  631.    wt: 1:   19 Right Triangle Similarity
  632.    wt: 1:   18 Triangle Similarity Take 1
  633.    wt: 1:   17 Right Bisectors of Triangle Sides
  634.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  635.    wt: 1:   14 Parallel Lines Postulate
  636.    wt: 1:   13 Angle Side Angle Failure
  637.    wt: 1:   12 Side Angle Side Failure
  638.    wt: 1:   11 Triangle Construction Fails
  639.    wt: 1:   10 Dropping a perpendicular to line
  640.    wt: 1:   9 Construction of a right bisector
  641.    wt: 1:   8 Isoceles Triangles
  642.    wt: 1:   7 Angle Side Angle
  643.    wt: 1:   5 Side Angle Side
  644.    wt: 1:   4 Side Side Side
  645.    wt: 1:   2 Correspondence between Triangles
  646.    wt: 1:   Short Course on Euclidean Geometry
  647.    wt: 1:   6 Figuring with Maps Not to Scale
  648.    wt: 1:   musings do not puiblish real numbers
  649.    wt: 1:   A Signed Number Arithmetic Review
  650.    wt: 1:   21 Addition of Multiples of a Single Vector
  651.    wt: 1:   19 Signed Multiples of Vectors
  652.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  653.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  654.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  655.    wt: 1:   15 Head to Tails in place Addition Associative
  656.    wt: 1:   12 Real Numbers Line Signed Coordinates
  657.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  658.    wt: 1:   9 Division with Digits after Decimal Point
  659.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  660.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  661.    wt: 1:   4 Location of Point in Decimal Addition
  662.    wt: 1:   2 Counting Digits in Decimal Multiplication
  663.    wt: 1:   1 Fractions with Finite Decimal Expansions
  664.    wt: 1:   16 Real Numbers Comparison
  665.    wt: 1:   15 Real Number Division
  666.    wt: 1:   14 Real Number Multiplication
  667.    wt: 1:   13 Real Number Subtraction
  668.    wt: 1:   12 Real Number Additive Inverses or Negatives
  669.    wt: 1:   11 Real Number Addition
  670.    wt: 1:   9 Coordinates for Regions in Space
  671.    wt: 1:   7 Real Numbers as Line Cordinates
  672.    wt: 1:   5 Rational Numbers More
  673.    wt: 1:   4 Rational Numbers
  674.    wt: 1:   2 Integers
  675.    wt: 1:   13 Naming Identifying Formulas with Words
  676.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  677.    wt: 1:   11 Volume of Sphere
  678.    wt: 1:   10 Volume of Pyramid
  679.    wt: 1:   9 Volume of Cone
  680.    wt: 1:   8 Compound Interest Formula Evaluation
  681.    wt: 1:   7 Compound Interest Formula Introduction
  682.    wt: 1:   5 Box Volume Formula Example
  683.    wt: 1:   4 Circle Area Formula Example
  684.    wt: 1:   2 Another Rectangle Area Formula Example
  685.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  686.    wt: 1:   8 Sets of Numbers
  687.    wt: 1:   7 Cautious or Safe Set Construction
  688.    wt: 1:   5 Product Builder Notation
  689.    wt: 1:   4 Subset Builder Notation
  690.    wt: 1:   2 Venn Diagrams
  691.    wt: 1:   1 Finite Sets
  692.    wt: 1:   2 What is a Variable
  693.    wt: 1:   About Folder Contents
  694.    wt: 1:   arithmetic videos Real Player Format
  695.    wt: 1:   10 dividing signed numbers
  696.    wt: 1:   9 subtracting signed numbers
  697.    wt: 1:   8 multiplying signed numbers
  698.    wt: 1:   4 signed coordinates for regions in space
  699.    wt: 1:   D Remainders Modulo 11 Pair Rule
  700.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  701.    wt: 1:   B Integer Long Division Multiple Choices
  702.    wt: 1:   A Associative Law Theorectical Note
  703.    wt: 1:   13 Subtraction with Additive Inverse
  704.    wt: 1:   12 Adding Integers More Examples
  705.    wt: 1:   10 Integer Multiplication Formulas
  706.    wt: 1:   9 Multiplying Integers
  707.    wt: 1:   8 Multiplication by Signed Numbers Integers
  708.    wt: 1:   7 Multiplication by Signs
  709.    wt: 1:   4 Adding Movements wiht opposite directions
  710.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  711.    wt: 1:   1 Integers as Coordinates
  712.    wt: 1:   Long Division Backwards more
  713.    wt: 1:   Long Division Backward
  714.    wt: 1:   12 Why Long Division Works Take III
  715.    wt: 1:   11 Another Single Digit Divisor Example
  716.    wt: 1:   9 Why Long Division Works Take II
  717.    wt: 1:   8 Correcting the Mistake
  718.    wt: 1:   7 Long Divison Mistake Catching
  719.    wt: 1:   5 Long Division Include Zeroes or not
  720.    wt: 1:   4 Division with 2 Digit Divsors
  721.    wt: 1:   2 Division with Single Digit Divisors
  722.    wt: 1:   1 Divsion Physical Examples
  723.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  724.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  725.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  726.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  727.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  728.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  729.    wt: 1:   Formula Evaluation how to show work
  730.    wt: 1:   Expression Evaluation how to show work
  731.    wt: 1:   The 20 Times Table
  732.    wt: 1:   The 12 Times Table Visually
  733.    wt: 1:   About folder contents
  734.    wt: 1:   015 School and work day counting tables
  735.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  736.    wt: 1:   6 How long is a million seconds
  737.    wt: 1:   4 Mixing and Changing Units of Time
  738.    wt: 1:   2 Time and Date Matters in School
  739.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  740.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  741.    wt: 1:   Area Between Curves Lesson Take 2
  742.    wt: 1:   Area Between Curves Lesson Take 1
  743.    wt: 1:   Summary
  744.    wt: 1:   4 Definite Integrals Evaluation Exercises
  745.    wt: 1:   3 Two Chain Rule Method Exercises
  746.    wt: 1:   A Related lessons in Volume 3
  747.    wt: 1:   4 Second derivative test exercise example
  748.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  749.    wt: 1:   A Chain Rule Real Player video examples
  750.    wt: 1:   29 Chain Rule Optional Reading
  751.    wt: 1:   28 Chain Rule Preparation for a Proof
  752.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  753.    wt: 1:   26 Chain Rule Recognising outer inner functions
  754.    wt: 1:   25 Chain Rule Animated Examples Continued
  755.    wt: 1:   24 Chain Rule Animated Examples
  756.    wt: 1:   23 Chain Rule in general
  757.    wt: 1:   22 Chain Rule for polynomials
  758.    wt: 1:   20 Chain Rule for Pulley Systems
  759.    wt: 1:   19 Chain Rule for linear functions
  760.    wt: 1:   18 Chain Rule Introduction
  761.    wt: 1:   11 Quotient rule
  762.    wt: 1:   10 Power rule for negative integers
  763.    wt: 1:   9 Reciprocal rule
  764.    wt: 1:   8 Differentiation of polynomials
  765.    wt: 1:   7 Animated Differentiation Examples
  766.    wt: 1:   5 Product Rule
  767.    wt: 1:   4 Sum Rule
  768.    wt: 1:   2 Motivation for Limit Definition Take 1
  769.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  770.    wt: 1:   11 Limits at infinity Three Examples
  771.    wt: 1:   10 Three one sided limits with infinite values
  772.    wt: 1:   8 Four Animated Examples
  773.    wt: 1:   7 Evaluation by immediate or delayed substitution
  774.    wt: 1:   3 Decimal insights for limits continuity convergence
  775.    wt: 1:   1 Numerical introduction
  776.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  777.    wt: 1:   E2 Algebraic Properties of Limits
  778.    wt: 1:   D2 Limits of Monotone Sequences
  779.    wt: 1:   B3 Bolzano Weierstrass Theorem
  780.    wt: 1:   PostScript For and Against Decimal Perspectives
  781.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  782.    wt: 1:   Chapter 23 Links To Trigonometry
  783.    wt: 1:   Chapter 22 Complex Numbers
  784.    wt: 1:   Chapter 21 Arrow Addition
  785.    wt: 1:   Chapter 18. Slopes Areas Integration
  786.    wt: 1:   Chapter 17. Area Approximation
  787.    wt: 1:   Chapter 16. Velocity Approximation
  788.    wt: 1:   Chapter 15. Slope Approximation
  789.    wt: 1:   Chapter 13. Acceleration
  790.    wt: 1:   Chapter 11. Graphing Slope versus Position
  791.    wt: 1:   Chapter 9 About First Courses in Calculus
  792.    wt: 1:   Chapter 8. Slope Interpretation
  793.    wt: 1:   Chapter 5. Slope Sign Tests
  794.    wt: 1:   Chapter 4. More Slope Sign Analysis
  795.    wt: 1:   Chapter 1.Introduction
  796.    wt: 1:   Fall 1983 Calculus Appetizer
  797.    wt: 1:   Foreword
  798.    wt: 1:   Postscript More on Better Performance
  799.    wt: 1:   Postscript For Better Performance
  800.    wt: 1:   Appendix C. How to Read
  801.    wt: 1:   Appendix B. How To Learn
  802.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  803.    wt: 1:   Chapter 30 Truth Tables
  804.    wt: 1:   Chapter 28 Occurrence Tables
  805.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  806.    wt: 1:   Chapter 25. Mathematical Induction Examples
  807.    wt: 1:   Chapter 25. Mathematical Induction Examples
  808.    wt: 1:   Chapter 23. Notation For Sums
  809.    wt: 1:   Chapter 21. Third Reading Guide
  810.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  811.    wt: 1:   Chapter 16. Painless Theorem Proving
  812.    wt: 1:   Chapter 15. Solving Linear Equations
  813.    wt: 1:   Chapter 13. Second Reading Guide
  814.    wt: 1:   Postscript What is a Variable
  815.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  816.    wt: 1:   Solutions For Arithmetic Exercises
  817.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  818.    wt: 1:   Chapter 4 Longer Chains of Reason
  819.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  820.    wt: 1:   Foreword
  821.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  822.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  823.    wt: 1:   Chapter 2 For and Against Mathematics
  824.    wt: 1:   Postscript B More on Story Telling and Reason
  825.    wt: 1:   Chapter 24 Direct and Indirect Reason
  826.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  827.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  828.    wt: 1:   Chapter 18 Sense and Knowledge
  829.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  830.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  831.    wt: 1:   Chapter 6 Chains of Reason
  832.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  833.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  834.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  835.    wt: 1:   R Why Learn Mathematics Skills
  836.    wt: 1:   N Mathematics Prepare for College Studies
  837.    wt: 1:   M Words to extend arithmetic
  838.    wt: 1:   L Skills with take home value
  839.    wt: 1:   H more Routine to non routine problem solving
  840.    wt: 1:   D. Check work a must with a caution
  841.    wt: 1:   B. Domino effect of errors
  842.    wt: 1:   A. Skill has to be seen to believed
  843.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  844.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  845.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  846.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  847.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  848.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  849.    wt: 1:   Which Way To Go
  850.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  851.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  852.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  853.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  854.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  855.    wt: 10:   7 Formulas for Roots with Logarithms Derivation

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Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

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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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