Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  4.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   3 Cartesian and Polar Coordinates/
  7.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 2:   9 Proportionality Backwards and Forwards/
  9.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  10.    wt: 2:   2 Formula Forward Use Evaluation/
  11.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  12.    wt: 2:   9 Combinatorics Trees Tables and Products/
  13.    wt: 2:   3 Prime Factorization Skills/
  14.    wt: 2:   Volume 2 Three Skills For Algebra/
  15.    wt: 2:   Volume 1 Elements of Reason/
  16.    wt: 1:   4 Functions/
  17.    wt: 1:   3 Quadratics Geometrically/
  18.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  19.    wt: 1:   1 Five Polynomial Operations/
  20.    wt: 1:   More Algebra/
  21.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 1:   12 Function Translating and Rescaling/
  23.    wt: 1:   11 Parallel Straight Lines and Transversals/
  24.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 1:   8 Unit Circle Trigonometry/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   5 What is Similarity/
  30.    wt: 1:   4 Lines and Slopes Take 1/
  31.    wt: 1:   1 Maps Plans Measurement/
  32.    wt: 1:   Geometry maps plans trigonometry vectors/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   10 Examples of Algebraic Reasoning/
  35.    wt: 1:   8 Unifying Theme For Algebra/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  39.    wt: 1:   1 Working With Sets/
  40.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  41.    wt: 1:   11 Squares and Square Roots/
  42.    wt: 1:   8 Arithmetic with Signed Numbers/
  43.    wt: 1:   7 Arithmetic and Fractions with Units/
  44.    wt: 1:   6 Fractions and Ratios/
  45.    wt: 1:   5 Integers/
  46.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  47.    wt: 1:   D Decimal Long Division Methods/
  48.    wt: 1:   C Decimal Multiplication Methods/
  49.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  50.    wt: 1:   A Decimal Counting and Adding Methods/
  51.    wt: 1:   2 Arithmetic with Decimals/
  52.    wt: 1:   1 Decimal Place Value/
  53.    wt: 1:   Arithmetic and Number Theory Skills/
  54.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  55.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  56.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  57.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  58.    wt: 1:   Work and Study Tips/
  59.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  60.    wt: 1:   Mathematics Skill Development Framework/

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409 matches:

  1.    wt: 4:   8 Notes for instructors or tutors
  2.    wt: 3:   formal or informal peer review
  3.    wt: 3:   words for mathematics instructor
  4.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  5.    wt: 3:   Formula Usage Show Work Format
  6.    wt: 3:   1 Written work formats for developing and showing skill
  7.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  8.    wt: 3:   Postscript B More on Story Telling and Reason
  9.    wt: 3:   G. Written work formats for developing and showing skill
  10.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  11.    wt: 2:   teaching tutoring algebraic reason
  12.    wt: 2:   02 21 words for teachers
  13.    wt: 2:   Prequel In For A Penny In For A Pound
  14.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  15.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  16.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  17.    wt: 2:   10 Ends values for work study instruction
  18.    wt: 2:   9 Set theory term relation possible origins
  19.    wt: 2:   5 Function notation for geometric transformations
  20.    wt: 2:   3 Formula or function graphing exercise
  21.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  22.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  23.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  24.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  25.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  26.    wt: 2:   6 Vectors with Coordinates
  27.    wt: 2:   3 Navigation with Arrows or Vectors
  28.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  29.    wt: 2:   10 Straight Lines through Origin Equations More
  30.    wt: 2:   26 Formulas for products of sines and cosines
  31.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  32.    wt: 2:   17G Pythagorean Theorem Converse
  33.    wt: 2:   17E Trig Formulas for dot and cross Products
  34.    wt: 2:   17D cis formulas for sine cosines and tangent
  35.    wt: 2:   15 Pythagorean Theorem Converse
  36.    wt: 2:   13 Trig Formulas for dot and cross Products
  37.    wt: 2:   12 cis formulas for sine cosines and tangent
  38.    wt: 2:   4 Equations for lines three forms
  39.    wt: 2:   13 Pythagorean spatial distance formulas
  40.    wt: 2:   10 Pythagorean plane distance formula
  41.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  42.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  43.    wt: 2:   5 Proportionality in Equivalent Fractions
  44.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  45.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  46.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  47.    wt: 2:   6 Equations and Systems Equivalent or Implied
  48.    wt: 2:   2 More and Less Than for Counts and Measures
  49.    wt: 2:   9 Coordinates for Regions in Space
  50.    wt: 2:   8 Coordinates for Maps and Planes
  51.    wt: 2:   13 Naming Identifying Formulas with Words
  52.    wt: 2:   5 Box Volume Formula Example
  53.    wt: 2:   1 More and Less Than for Counts and Measures
  54.    wt: 2:   4 signed coordinates for regions in space
  55.    wt: 2:   3 signed coordinates for maps and planes
  56.    wt: 2:   18 video Count Factors given Prime Factorization
  57.    wt: 2:   15 video Factors of 20 using Prime Factorization
  58.    wt: 2:   6 Multiplication Commutes Order Not Important
  59.    wt: 2:   Formula Evaluation how to show work
  60.    wt: 2:   38 Formulas and derivatives for powers and roots
  61.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  62.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  63.    wt: 2:   Foreword
  64.    wt: 2:   Postscript More on Better Performance
  65.    wt: 2:   Postscript For Better Performance
  66.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  67.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  68.    wt: 2:   Foreword
  69.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  70.    wt: 2:   Foreword
  71.    wt: 2:   Postscript C Consistency as a Tool for Reason
  72.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  73.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  74.    wt: 2:   Foreword
  75.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  76.    wt: 2:   J. More on written work and showing skill
  77.    wt: 2:   E. When and how to correct errors
  78.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  79.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  80.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  81.    wt: 2:   More Algebra and Slope based Calculus Preview
  82.    wt: 1:   J LAMP Introduction Extrinsic Origins
  83.    wt: 1:   Ramblings Extrinsic numbers theory
  84.    wt: 1:   9 combinatorics probability sets
  85.    wt: 1:   three goals to set for students
  86.    wt: 1:   permissions for teachers
  87.    wt: 1:   Math Ed if it must be short make it lean effective
  88.    wt: 1:   activities for students
  89.    wt: 1:   site origins
  90.    wt: 1:   Mathematics Education Professors
  91.    wt: 1:   grouping students according to ability
  92.    wt: 1:   Education Reform Inconsistencies
  93.    wt: 1:   geometric implications for algebra
  94.    wt: 1:   three goals for Mathematics Education
  95.    wt: 1:   04 25 when to stop or suspend mathemat
  96.    wt: 1:   three aims for mathematics students
  97.    wt: 1:   standards for course material
  98.    wt: 1:   Theory of Knowledge
  99.    wt: 1:   Different Kinds of Reasoning in maths
  100.    wt: 1:   three kinds of reason in mathematics
  101.    wt: 1:   Four ways to improve education reform
  102.    wt: 1:   How to be a better instructor
  103.    wt: 1:   need for a mixed mathematics curriculum
  104.    wt: 1:   fairness and inductive principles for instruction
  105.    wt: 1:   3 Like resistors in parallel
  106.    wt: 1:   2 Unlike resistors in parallel01
  107.    wt: 1:   1 Like resistors in series
  108.    wt: 1:   F Unlike Resistors in Series
  109.    wt: 1:   C Electromotive force conventional current02
  110.    wt: 1:   B Electromotive force conventional current01
  111.    wt: 1:   Home Tutoring and Home Schooling
  112.    wt: 1:   24 Standards For Skill Develoment Take II
  113.    wt: 1:   24 Standards For Skill Develoment
  114.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  115.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  116.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  117.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  118.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  119.    wt: 1:   17 Math Booklets for children and young teenagers
  120.    wt: 1:   15 Counting For Parents
  121.    wt: 1:   12 Goals and Objectives For Mathematics
  122.    wt: 1:   11 Help and Defend Your Child or Teens Education
  123.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  124.    wt: 1:   5 Patience Please for Yourself and Your Charges
  125.    wt: 1:   4 Learning Takes Time and Effort
  126.    wt: 1:   3 Preparing for Science Studies
  127.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  128.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  129.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  130.    wt: 1:   20 Interchanging coordinates a reflection
  131.    wt: 1:   19 Horizontal line rule and method
  132.    wt: 1:   16 Increasing or decreasing on intervals
  133.    wt: 1:   6 Set Existence Formation and Notation
  134.    wt: 1:   8 quadratics backward use of various formulas
  135.    wt: 1:   7 quadratic formulla derivation
  136.    wt: 1:   3 quadratics factoring by inspection
  137.    wt: 1:   5 Natural Logarithm Calculator Exercises
  138.    wt: 1:   1 Calculator Starter Exercises
  139.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  140.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  141.    wt: 1:   4 Polynomials Long division linear divisor
  142.    wt: 1:   12 motivation for term arctan
  143.    wt: 1:   9 motivation for name arcsin
  144.    wt: 1:   5 Swapping Coordinates is a reflection
  145.    wt: 1:   4 possible motivation for term arccos
  146.    wt: 1:   2 cosine function more properties
  147.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  148.    wt: 1:   13 Velocity Vectors in Physics
  149.    wt: 1:   9 Head to Tail Coordinate View
  150.    wt: 1:   8 Parallel Vectors
  151.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  152.    wt: 1:   2 Signed Coordinates
  153.    wt: 1:   1 Unsigned Coordinates
  154.    wt: 1:   Vector and Complex Number Applet
  155.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  156.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  157.    wt: 1:   Parallel Lines and Interior Angles
  158.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  159.    wt: 1:   Straight Lines ASA Intersection Study More
  160.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  161.    wt: 1:   C Straight Lines Slope from Coordinates
  162.    wt: 1:   B Straight Line Slope Scaling Properties More
  163.    wt: 1:   9 Straight Lines through Origin Equations
  164.    wt: 1:   8 Straight Lines Equation for vertical
  165.    wt: 1:   17 tangent function angle sum formulas
  166.    wt: 1:   29 secant cosecant and cotangent for acute angles
  167.    wt: 1:   25 tangent double angle formula Slope connection
  168.    wt: 1:   24 tangent Angle Difference Formula
  169.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  170.    wt: 1:   21 sine and cosine Half Angle Formulas
  171.    wt: 1:   20 sine and cosine Double Angle Formulas
  172.    wt: 1:   17C sine and cosine double triple angle formulas
  173.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  174.    wt: 1:   12 Graph of tangent function for one period
  175.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  176.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  177.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  178.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  179.    wt: 1:   16 References and Originality Question
  180.    wt: 1:   11 sine and cosine double triple angle formulas
  181.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  182.    wt: 1:   1 Rectangular Polar Coordinates Review
  183.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  184.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  185.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  186.    wt: 1:   12 Triangles Similarity More Problems
  187.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  188.    wt: 1:   4 Similarity Definition with Coordinate
  189.    wt: 1:   3 Similarity by Design with coordinates
  190.    wt: 1:   1 Early Concept of Like or Similar Shapes
  191.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  192.    wt: 1:   8 Mid Point Formula
  193.    wt: 1:   3 Slope product for perpendicular lines
  194.    wt: 1:   2 point slope equation for a line
  195.    wt: 1:   12 Spatial Coordinates
  196.    wt: 1:   4 Polar Coordinates to and from
  197.    wt: 1:   3 Rectangular Coordinates Review
  198.    wt: 1:   2 Cartesian Coordinates with signs
  199.    wt: 1:   1 Cartesian Coordinates sans signs
  200.    wt: 1:   PS H Distributive Law For Complex Numbers
  201.    wt: 1:   PS E Multiplication with Polar Coordinates
  202.    wt: 1:   PS D Addition with Cartesian Coordinates
  203.    wt: 1:   17 Right Bisectors of Triangle Sides
  204.    wt: 1:   16 Angles Subtended By Chords and Diameters
  205.    wt: 1:   9 Construction of a right bisector
  206.    wt: 1:   2 Correspondence between Triangles
  207.    wt: 1:   Short Course on Euclidean Geometry
  208.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  209.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  210.    wt: 1:   26 More Less Greater Than Comparison
  211.    wt: 1:   21 Addition of Multiples of a Single Vector
  212.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  213.    wt: 1:   19 Signed Multiples of Vectors
  214.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  215.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  216.    wt: 1:   13 Arrows and Vectors in a Plane
  217.    wt: 1:   12 Real Numbers Line Signed Coordinates
  218.    wt: 1:   E Long Division Methods more
  219.    wt: 1:   6 Column Methods for Decimal Multiplication
  220.    wt: 1:   5 Distributive Law for Whole Numbers
  221.    wt: 1:   4 Commutative Law Groups Counting Form
  222.    wt: 1:   1 The Counting Origins of Numbers
  223.    wt: 1:   4 Rates Ratios and Proporitionality
  224.    wt: 1:   3 Proportionality Examples
  225.    wt: 1:   1 What is Proportionality
  226.    wt: 1:   6 Compound Interest Forward and Backwards
  227.    wt: 1:   5 Triangle Area Formula Backwards
  228.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  229.    wt: 1:   3 Linear Equation Literal Solution More
  230.    wt: 1:   3 Product Axioms Two Forms
  231.    wt: 1:   1 Equivalent Computation Rules
  232.    wt: 1:   5 Greater More Less Than Signs in General
  233.    wt: 1:   3 More and Less Than with Unlike Signs
  234.    wt: 1:   12 Real Number Additive Inverses or Negatives
  235.    wt: 1:   7 Real Numbers as Line Cordinates
  236.    wt: 1:   5 Rational Numbers More
  237.    wt: 1:   3 Geometric Formulas and Function Notation
  238.    wt: 1:   1 Formulas Dependence and Function Notation
  239.    wt: 1:   More Exercises
  240.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  241.    wt: 1:   Using Letters for Physical Quantities
  242.    wt: 1:   11 Volume of Sphere
  243.    wt: 1:   10 Volume of Pyramid
  244.    wt: 1:   9 Volume of Cone
  245.    wt: 1:   8 Compound Interest Formula Evaluation
  246.    wt: 1:   7 Compound Interest Formula Introduction
  247.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  248.    wt: 1:   4 Circle Area Formula Example
  249.    wt: 1:   3 Triangle Area Formula Example
  250.    wt: 1:   2 Another Rectangle Area Formula Example
  251.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  252.    wt: 1:   7 Cautious or Safe Set Construction
  253.    wt: 1:   4 A Brief Story of numbers and algebra
  254.    wt: 1:   3 Adding Words To Arithmetic
  255.    wt: 1:   1 Three Skills For Algebra
  256.    wt: 1:   arithmetic videos Real Player Format
  257.    wt: 1:   4 Greater More Less Than Signs in General
  258.    wt: 1:   2 More and Less Than with Unlike Signs
  259.    wt: 1:   5 Square Roots with primes more still
  260.    wt: 1:   4 Square Roots with primes more
  261.    wt: 1:   13 GCD from given Prime Factorization
  262.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  263.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  264.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  265.    wt: 1:   8 GCD from Euclidean Algorithm
  266.    wt: 1:   7 GCD and LCM from prime factorization
  267.    wt: 1:   5 Common Divisors 60 45 via Prime
  268.    wt: 1:   2 signed and unsigned numbers as coordinates
  269.    wt: 1:   7 Converting or Changing Units
  270.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  271.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  272.    wt: 1:   21 Working With Signs
  273.    wt: 1:   21 Reciprocals for Fractions and Wholes
  274.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  275.    wt: 1:   14 Adding and Subtracting with Like Denominators
  276.    wt: 1:   5 Equivalent Fractions
  277.    wt: 1:   A Associative Law Theorectical Note
  278.    wt: 1:   12 Adding Integers More Examples
  279.    wt: 1:   11 Adding Integers Formulas and Examples
  280.    wt: 1:   10 Integer Multiplication Formulas
  281.    wt: 1:   1 Integers as Coordinates
  282.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  283.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  284.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  285.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  286.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  287.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  288.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  289.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  290.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  291.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  292.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  293.    wt: 1:   20 Uniqueness of Prime Factorization
  294.    wt: 1:   19 video Prime Factorization Unique
  295.    wt: 1:   17 Identify and Count Factors using Primes
  296.    wt: 1:   16 video Factors of 980 using prime
  297.    wt: 1:   14 video Factors of 24 Take II
  298.    wt: 1:   13 video Factors of 24 using prime
  299.    wt: 1:   10 video Prime Factorization upto 23 squared
  300.    wt: 1:   9 video Prime Factorization upto 19 squared
  301.    wt: 1:   8 video Prime Factorization upto 19
  302.    wt: 1:   7 Calculator Usage Notes and Cautions
  303.    wt: 1:   5 Prime Factorization and a Square Rule
  304.    wt: 1:   4 video Prime Factorization Introduction
  305.    wt: 1:   1 video how Products are bigger than factor
  306.    wt: 1:   Long Division Backwards more
  307.    wt: 1:   Long Division forwards and backwards Example 3
  308.    wt: 1:   Long Division forwards and backwards Example 2
  309.    wt: 1:   Long Division forwards and backwards Example 1
  310.    wt: 1:   12 Why Long Division Works Take III
  311.    wt: 1:   11 Another Single Digit Divisor Example
  312.    wt: 1:   10 Division by Five Long and Short Ways
  313.    wt: 1:   9 Why Long Division Works Take II
  314.    wt: 1:   8 Correcting the Mistake
  315.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  316.    wt: 1:   5 Long Division Include Zeroes or not
  317.    wt: 1:   4 Division with 2 Digit Divsors
  318.    wt: 1:   3 Division Single Digit Divisor Example
  319.    wt: 1:   2 Division with Single Digit Divisors
  320.    wt: 1:   A Elementary Basis for Multiplication Methods
  321.    wt: 1:   3 More One Digit Multipliers
  322.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  323.    wt: 1:   5 A Tip for Efficent Subtraction
  324.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  325.    wt: 1:   8 What skills and work habits to require
  326.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  327.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  328.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  329.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  330.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  331.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  332.    wt: 1:   Quick history of numbers and algebra
  333.    wt: 1:   Expression Evaluation how to show work
  334.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  335.    wt: 1:   015 School and work day counting tables
  336.    wt: 1:   Example 2 volume of a cone
  337.    wt: 1:   Example 1 volume of a pyramid
  338.    wt: 1:   Volume of Solid by Cross Sections Lesson
  339.    wt: 1:   A Related Material in Volume 3
  340.    wt: 1:   A Related lessons in Volume 3
  341.    wt: 1:   28 Chain Rule Preparation for a Proof
  342.    wt: 1:   22 Chain Rule for polynomials
  343.    wt: 1:   21 Chain Rule for powers
  344.    wt: 1:   20 Chain Rule for Pulley Systems
  345.    wt: 1:   19 Chain Rule for linear functions
  346.    wt: 1:   10 Power rule for negative integers
  347.    wt: 1:   3 Motivation for Limit Definition Take 2
  348.    wt: 1:   2 Motivation for Limit Definition Take 1
  349.    wt: 1:   7 Evaluation by immediate or delayed substitution
  350.    wt: 1:   5 Jumps and absence of unlimited error control
  351.    wt: 1:   3 Decimal insights for limits continuity convergence
  352.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  353.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  354.    wt: 1:   G.3 Constant Difference Theorem Proof
  355.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  356.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  357.    wt: 1:   F.5b Extreme Value Theorem
  358.    wt: 1:   F.5a Equicontinuity Theorems
  359.    wt: 1:   F.4 Finite Covering Theorem
  360.    wt: 1:   F.3 Intermediate Value Theorem
  361.    wt: 1:   F.2 Closed Range Theorem
  362.    wt: 1:   E1 Error Control Inequalities
  363.    wt: 1:   B3 Bolzano Weierstrass Theorem
  364.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  365.    wt: 1:   PostScript For and Against Decimal Perspectives
  366.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  367.    wt: 1:   Chapter 4. More Slope Sign Analysis
  368.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  369.    wt: 1:   Chapter 31 Direct and Indirect Reason
  370.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  371.    wt: 1:   Chapter 23. Notation For Sums
  372.    wt: 1:   Chapter 18. Rules for Algebra
  373.    wt: 1:   Chapter 16. Painless Theorem Proving
  374.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  375.    wt: 1:   Chapter 12. Shorthand Usage Guide
  376.    wt: 1:   Chapter 11. Why Shorthand
  377.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  378.    wt: 1:   Chapter 8 Three Skills For Algebra
  379.    wt: 1:   Solutions For Arithmetic Exercises
  380.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  381.    wt: 1:   Chapter 4 Longer Chains of Reason
  382.    wt: 1:   Chapter 3 Chains of Reason
  383.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  384.    wt: 1:   Chapter 2 For and Against Mathematics
  385.    wt: 1:   Postscript A Story Telling
  386.    wt: 1:   Chapter 24 Direct and Indirect Reason
  387.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  388.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  389.    wt: 1:   Chapter 11 Accidental Patterns
  390.    wt: 1:   Chapter 7 Longer Chains of Reason
  391.    wt: 1:   Chapter 6 Chains of Reason
  392.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  393.    wt: 1:   S Adding words to algebra
  394.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  395.    wt: 1:   N Mathematics Prepare for College Studies
  396.    wt: 1:   M Words to extend arithmetic
  397.    wt: 1:   H more Routine to non routine problem solving
  398.    wt: 1:   F. The student teacher tutor feedback loop
  399.    wt: 1:   D. Check work a must with a caution
  400.    wt: 1:   B. Domino effect of errors
  401.    wt: 1:   Chapter 6 More Algebra and Geometry
  402.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  403.    wt: 1:   7 Games and Activities for Instruction
  404.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  405.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  406.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  407.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  408.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  409.    wt: 1:   The Math Forum and Site Content

Extended Search

906 matches:

  1.    wt: 9:   Postscript B More on Story Telling and Reason
  2.    wt: 8:   Postscript C Consistency as a Tool for Reason
  3.    wt: 8:   Chapter 16 Origins and Limitations of Rules and Patterns
  4.    wt: 8:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  5.    wt: 8:   Foreword
  6.    wt: 7:   Postscript A Story Telling
  7.    wt: 7:   Chapter 24 Direct and Indirect Reason
  8.    wt: 7:   Chapter 20 Shorthand Symbols as Pronouns
  9.    wt: 7:   Chapter 17 Objective Ways Trial and Error Discovery
  10.    wt: 7:   Chapter 11 Accidental Patterns
  11.    wt: 7:   Chapter 7 Longer Chains of Reason
  12.    wt: 7:   Chapter 6 Chains of Reason
  13.    wt: 7:   Chapter 4 Implication Rules Forwards and Backwards
  14.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  15.    wt: 6:   Chapter 23 Truth Tables
  16.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  17.    wt: 6:   Chapter 21 Occurrence Tables
  18.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  19.    wt: 6:   Chapter 18 Sense and Knowledge
  20.    wt: 6:   Chapter 15 Objective Processes
  21.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  22.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  23.    wt: 6:   Chapter 10 Responsibility
  24.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  25.    wt: 6:   Chapter 8 Change of Language
  26.    wt: 6:   Chapter 5 Deception
  27.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  28.    wt: 6:   Chapter 2 Skill Development
  29.    wt: 6:   Chapter 1 Introduction
  30.    wt: 6:   Three Remarks
  31.    wt: 5:   8 Notes for instructors or tutors
  32.    wt: 5:   1 Written work formats for developing and showing skill
  33.    wt: 4:   6 Vectors with Coordinates
  34.    wt: 4:   3 Navigation with Arrows or Vectors
  35.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  36.    wt: 4:   13 Pythagorean spatial distance formulas
  37.    wt: 4:   10 Pythagorean plane distance formula
  38.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  39.    wt: 4:   5 Proportionality in Equivalent Fractions
  40.    wt: 4:   13 Naming Identifying Formulas with Words
  41.    wt: 4:   5 Box Volume Formula Example
  42.    wt: 4:   18 video Count Factors given Prime Factorization
  43.    wt: 4:   15 video Factors of 20 using Prime Factorization
  44.    wt: 4:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  45.    wt: 4:   Postscript More on Better Performance
  46.    wt: 4:   Postscript For Better Performance
  47.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  48.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  49.    wt: 4:   Foreword
  50.    wt: 4:   G. Written work formats for developing and showing skill
  51.    wt: 3:   formal or informal peer review
  52.    wt: 3:   words for mathematics instructor
  53.    wt: 3:   9 Set theory term relation possible origins
  54.    wt: 3:   5 Function notation for geometric transformations
  55.    wt: 3:   3 Formula or function graphing exercise
  56.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  57.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  58.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  59.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  60.    wt: 3:   12 motivation for term arctan
  61.    wt: 3:   9 motivation for name arcsin
  62.    wt: 3:   5 Swapping Coordinates is a reflection
  63.    wt: 3:   4 possible motivation for term arccos
  64.    wt: 3:   2 cosine function more properties
  65.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  66.    wt: 3:   13 Velocity Vectors in Physics
  67.    wt: 3:   9 Head to Tail Coordinate View
  68.    wt: 3:   8 Parallel Vectors
  69.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  70.    wt: 3:   2 Signed Coordinates
  71.    wt: 3:   1 Unsigned Coordinates
  72.    wt: 3:   Vector and Complex Number Applet
  73.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  74.    wt: 3:   10 Straight Lines through Origin Equations More
  75.    wt: 3:   26 Formulas for products of sines and cosines
  76.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  77.    wt: 3:   17G Pythagorean Theorem Converse
  78.    wt: 3:   17E Trig Formulas for dot and cross Products
  79.    wt: 3:   17D cis formulas for sine cosines and tangent
  80.    wt: 3:   15 Pythagorean Theorem Converse
  81.    wt: 3:   13 Trig Formulas for dot and cross Products
  82.    wt: 3:   12 cis formulas for sine cosines and tangent
  83.    wt: 3:   4 Equations for lines three forms
  84.    wt: 3:   12 Spatial Coordinates
  85.    wt: 3:   4 Polar Coordinates to and from
  86.    wt: 3:   3 Rectangular Coordinates Review
  87.    wt: 3:   2 Cartesian Coordinates with signs
  88.    wt: 3:   1 Cartesian Coordinates sans signs
  89.    wt: 3:   PS H Distributive Law For Complex Numbers
  90.    wt: 3:   PS E Multiplication with Polar Coordinates
  91.    wt: 3:   PS D Addition with Cartesian Coordinates
  92.    wt: 3:   17 Right Bisectors of Triangle Sides
  93.    wt: 3:   16 Angles Subtended By Chords and Diameters
  94.    wt: 3:   9 Construction of a right bisector
  95.    wt: 3:   2 Correspondence between Triangles
  96.    wt: 3:   Short Course on Euclidean Geometry
  97.    wt: 3:   4 Rates Ratios and Proporitionality
  98.    wt: 3:   3 Proportionality Examples
  99.    wt: 3:   1 What is Proportionality
  100.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  101.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  102.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  103.    wt: 3:   6 Equations and Systems Equivalent or Implied
  104.    wt: 3:   2 More and Less Than for Counts and Measures
  105.    wt: 3:   Formula Usage Show Work Format
  106.    wt: 3:   11 Volume of Sphere
  107.    wt: 3:   10 Volume of Pyramid
  108.    wt: 3:   9 Volume of Cone
  109.    wt: 3:   8 Compound Interest Formula Evaluation
  110.    wt: 3:   7 Compound Interest Formula Introduction
  111.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  112.    wt: 3:   4 Circle Area Formula Example
  113.    wt: 3:   3 Triangle Area Formula Example
  114.    wt: 3:   2 Another Rectangle Area Formula Example
  115.    wt: 3:   1 More and Less Than for Counts and Measures
  116.    wt: 3:   13 GCD from given Prime Factorization
  117.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  118.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  119.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  120.    wt: 3:   8 GCD from Euclidean Algorithm
  121.    wt: 3:   7 GCD and LCM from prime factorization
  122.    wt: 3:   5 Common Divisors 60 45 via Prime
  123.    wt: 3:   4 signed coordinates for regions in space
  124.    wt: 3:   3 signed coordinates for maps and planes
  125.    wt: 3:   20 Uniqueness of Prime Factorization
  126.    wt: 3:   19 video Prime Factorization Unique
  127.    wt: 3:   17 Identify and Count Factors using Primes
  128.    wt: 3:   16 video Factors of 980 using prime
  129.    wt: 3:   14 video Factors of 24 Take II
  130.    wt: 3:   13 video Factors of 24 using prime
  131.    wt: 3:   10 video Prime Factorization upto 23 squared
  132.    wt: 3:   9 video Prime Factorization upto 19 squared
  133.    wt: 3:   8 video Prime Factorization upto 19
  134.    wt: 3:   7 Calculator Usage Notes and Cautions
  135.    wt: 3:   5 Prime Factorization and a Square Rule
  136.    wt: 3:   4 video Prime Factorization Introduction
  137.    wt: 3:   1 video how Products are bigger than factor
  138.    wt: 3:   6 Multiplication Commutes Order Not Important
  139.    wt: 3:   Formula Evaluation how to show work
  140.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  141.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  142.    wt: 3:   Foreword
  143.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  144.    wt: 3:   Chapter 31 Direct and Indirect Reason
  145.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  146.    wt: 3:   Chapter 23. Notation For Sums
  147.    wt: 3:   Chapter 18. Rules for Algebra
  148.    wt: 3:   Chapter 16. Painless Theorem Proving
  149.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  150.    wt: 3:   Chapter 12. Shorthand Usage Guide
  151.    wt: 3:   Chapter 11. Why Shorthand
  152.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  153.    wt: 3:   Chapter 8 Three Skills For Algebra
  154.    wt: 3:   Solutions For Arithmetic Exercises
  155.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  156.    wt: 3:   Chapter 4 Longer Chains of Reason
  157.    wt: 3:   Chapter 3 Chains of Reason
  158.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  159.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  160.    wt: 3:   Foreword
  161.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  162.    wt: 3:   J. More on written work and showing skill
  163.    wt: 3:   E. When and how to correct errors
  164.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  165.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  166.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  167.    wt: 3:   More Algebra and Slope based Calculus Preview
  168.    wt: 2:   teaching tutoring algebraic reason
  169.    wt: 2:   02 21 words for teachers
  170.    wt: 2:   Prequel In For A Penny In For A Pound
  171.    wt: 2:   chapitre 12 00 les iles et division
  172.    wt: 2:   chapitre 07 01 principle D induction mathematique
  173.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  174.    wt: 2:   chapitre 06 00 Chaines de la raison
  175.    wt: 2:   chapitre 05 00 Deception
  176.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  177.    wt: 2:   chapitre 04 09 Regles accidentelles
  178.    wt: 2:   chapitre 04 08 Limitations et benefices
  179.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  180.    wt: 2:   chapitre 04 06 engagements
  181.    wt: 2:   chapitre 04 05 Implication versus suggestion
  182.    wt: 2:   chapitre 04 04 Parlons de la logique
  183.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  184.    wt: 2:   chapitre 04 02 Deuxieme enigme
  185.    wt: 2:   chapitre 04 01 Premiere enigme
  186.    wt: 2:   chapitre 04 00 Les regles d implication
  187.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  188.    wt: 2:   chapitre 02 00 La Communication des idees
  189.    wt: 2:   chapitre 01 00 Introduction
  190.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  191.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  192.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  193.    wt: 2:   10 Ends values for work study instruction
  194.    wt: 2:   sign monoticity analysis example 4
  195.    wt: 2:   sign monoticity analysis example 3
  196.    wt: 2:   sign monoticity analysis example 2
  197.    wt: 2:   sign monoticity analysis example 1
  198.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  199.    wt: 2:   20 Interchanging coordinates a reflection
  200.    wt: 2:   19 Horizontal line rule and method
  201.    wt: 2:   16 Increasing or decreasing on intervals
  202.    wt: 2:   6 Set Existence Formation and Notation
  203.    wt: 2:   8 quadratics backward use of various formulas
  204.    wt: 2:   7 quadratic formulla derivation
  205.    wt: 2:   3 quadratics factoring by inspection
  206.    wt: 2:   5 Natural Logarithm Calculator Exercises
  207.    wt: 2:   1 Calculator Starter Exercises
  208.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  209.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  210.    wt: 2:   4 Polynomials Long division linear divisor
  211.    wt: 2:   16 cotangent function Definition Graph and Inverse
  212.    wt: 2:   15 cosecant function Definition Graph and Inverse
  213.    wt: 2:   14 secant function Definition Graph and Inverse
  214.    wt: 2:   13 cosecant function Definition Graph and Inverse
  215.    wt: 2:   11 arctan left inverse of tangent Graph
  216.    wt: 2:   10 arctan left inverse of tangent Definition
  217.    wt: 2:   8 arcsin left inverse of sine Graph
  218.    wt: 2:   7 arcsin left inverse of sine Definition
  219.    wt: 2:   6 Graph of arccos function
  220.    wt: 2:   3 Left Inverse of cosine arccos definition
  221.    wt: 2:   1 cosine function properties
  222.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  223.    wt: 2:   A Global Time and Navigation
  224.    wt: 2:   15 Dot and Cross Product
  225.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  226.    wt: 2:   12 From Applied To Pure Mathematics
  227.    wt: 2:   11 Component Method
  228.    wt: 2:   10 Parallelogram Addition Method
  229.    wt: 2:   5 Head To Tail Arrow Addition
  230.    wt: 2:   4 Resultant of a Sum of Movements
  231.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  232.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  233.    wt: 2:   Parallel Lines and Interior Angles
  234.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  235.    wt: 2:   Straight Lines ASA Intersection Study More
  236.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  237.    wt: 2:   C Straight Lines Slope from Coordinates
  238.    wt: 2:   B Straight Line Slope Scaling Properties More
  239.    wt: 2:   9 Straight Lines through Origin Equations
  240.    wt: 2:   8 Straight Lines Equation for vertical
  241.    wt: 2:   17 tangent function angle sum formulas
  242.    wt: 2:   29 secant cosecant and cotangent for acute angles
  243.    wt: 2:   25 tangent double angle formula Slope connection
  244.    wt: 2:   24 tangent Angle Difference Formula
  245.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  246.    wt: 2:   21 sine and cosine Half Angle Formulas
  247.    wt: 2:   20 sine and cosine Double Angle Formulas
  248.    wt: 2:   17C sine and cosine double triple angle formulas
  249.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  250.    wt: 2:   12 Graph of tangent function for one period
  251.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  252.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  253.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  254.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  255.    wt: 2:   16 References and Originality Question
  256.    wt: 2:   11 sine and cosine double triple angle formulas
  257.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  258.    wt: 2:   1 Rectangular Polar Coordinates Review
  259.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  260.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  261.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  262.    wt: 2:   12 Triangles Similarity More Problems
  263.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  264.    wt: 2:   4 Similarity Definition with Coordinate
  265.    wt: 2:   3 Similarity by Design with coordinates
  266.    wt: 2:   1 Early Concept of Like or Similar Shapes
  267.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  268.    wt: 2:   8 Mid Point Formula
  269.    wt: 2:   3 Slope product for perpendicular lines
  270.    wt: 2:   2 point slope equation for a line
  271.    wt: 2:   11 Triangle Inequality
  272.    wt: 2:   8 Distance Between Points on a Line
  273.    wt: 2:   7 Complex Numbers Appetizer
  274.    wt: 2:   6 Polar Multiplication and Rotation
  275.    wt: 2:   5 Cartesian Addition and Translation
  276.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  277.    wt: 2:   PS G Rotation Distributes over Addition
  278.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  279.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  280.    wt: 2:   PS B Parallelogram Construction Methods
  281.    wt: 2:   PS A Kite Construction Methods
  282.    wt: 2:   21 Parallelograms
  283.    wt: 2:   19 Right Triangle Similarity
  284.    wt: 2:   18 Triangle Similarity Take 1
  285.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  286.    wt: 2:   14 Parallel Lines Postulate
  287.    wt: 2:   13 Angle Side Angle Failure
  288.    wt: 2:   12 Side Angle Side Failure
  289.    wt: 2:   11 Triangle Construction Fails
  290.    wt: 2:   10 Dropping a perpendicular to line
  291.    wt: 2:   8 Isoceles Triangles
  292.    wt: 2:   7 Angle Side Angle
  293.    wt: 2:   6 Ruler and compass Angle Bisection
  294.    wt: 2:   5 Side Angle Side
  295.    wt: 2:   4 Side Side Side
  296.    wt: 2:   3 Isometry of Triangles Congruence
  297.    wt: 2:   1 Initial Concepts and Terms
  298.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  299.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  300.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  301.    wt: 2:   E Long Division Methods more
  302.    wt: 2:   6 Column Methods for Decimal Multiplication
  303.    wt: 2:   5 Distributive Law for Whole Numbers
  304.    wt: 2:   4 Commutative Law Groups Counting Form
  305.    wt: 2:   1 The Counting Origins of Numbers
  306.    wt: 2:   2 Algebraic View
  307.    wt: 2:   6 Compound Interest Forward and Backwards
  308.    wt: 2:   5 Triangle Area Formula Backwards
  309.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  310.    wt: 2:   3 Linear Equation Literal Solution More
  311.    wt: 2:   3 Product Axioms Two Forms
  312.    wt: 2:   1 Equivalent Computation Rules
  313.    wt: 2:   5 Greater More Less Than Signs in General
  314.    wt: 2:   3 More and Less Than with Unlike Signs
  315.    wt: 2:   9 Coordinates for Regions in Space
  316.    wt: 2:   8 Coordinates for Maps and Planes
  317.    wt: 2:   4 Solving a triangular system exercise
  318.    wt: 2:   3 Solving triangular system example
  319.    wt: 2:   2 Essentially one exercises three with solution
  320.    wt: 2:   1 Essentially One Unknown
  321.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  322.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  323.    wt: 2:   7 Cautious or Safe Set Construction
  324.    wt: 2:   arithmetic videos Real Player Format
  325.    wt: 2:   4 Greater More Less Than Signs in General
  326.    wt: 2:   2 More and Less Than with Unlike Signs
  327.    wt: 2:   5 Square Roots with primes more still
  328.    wt: 2:   4 Square Roots with primes more
  329.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  330.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  331.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  332.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  333.    wt: 2:   6 GCD from Prime
  334.    wt: 2:   4 LCM of 8 and 10 via Prime
  335.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  336.    wt: 2:   2 Least Common Multiple LCM intro via list method
  337.    wt: 2:   1 Least Common Multiples LCM Introduction
  338.    wt: 2:   12 GCD 2700 288 via Prime
  339.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  340.    wt: 2:   4 Counting with Trees Product Rule Take I
  341.    wt: 2:   3 Counting with Tables and Trees II
  342.    wt: 2:   2 Counting with Tables and Trees I
  343.    wt: 2:   1 Counting and Counting Methods I
  344.    wt: 2:   2 signed and unsigned numbers as coordinates
  345.    wt: 2:   7 Converting or Changing Units
  346.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  347.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  348.    wt: 2:   21 Working With Signs
  349.    wt: 2:   21 Reciprocals for Fractions and Wholes
  350.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  351.    wt: 2:   14 Adding and Subtracting with Like Denominators
  352.    wt: 2:   5 Equivalent Fractions
  353.    wt: 2:   A Associative Law Theorectical Note
  354.    wt: 2:   12 Adding Integers More Examples
  355.    wt: 2:   11 Adding Integers Formulas and Examples
  356.    wt: 2:   10 Integer Multiplication Formulas
  357.    wt: 2:   1 Integers as Coordinates
  358.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  359.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  360.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  361.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  362.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  363.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  364.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  365.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  366.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  367.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  368.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  369.    wt: 2:   12 LCD GCD and LCM using Primes
  370.    wt: 2:   11 Efficient Square Rule Use
  371.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  372.    wt: 2:   3 video Primes and Composites from 9 times table
  373.    wt: 2:   2 Prime and Composites less than 16
  374.    wt: 2:   Long Division Backwards more
  375.    wt: 2:   Long Division forwards and backwards Example 3
  376.    wt: 2:   Long Division forwards and backwards Example 2
  377.    wt: 2:   Long Division forwards and backwards Example 1
  378.    wt: 2:   12 Why Long Division Works Take III
  379.    wt: 2:   11 Another Single Digit Divisor Example
  380.    wt: 2:   10 Division by Five Long and Short Ways
  381.    wt: 2:   9 Why Long Division Works Take II
  382.    wt: 2:   8 Correcting the Mistake
  383.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  384.    wt: 2:   5 Long Division Include Zeroes or not
  385.    wt: 2:   4 Division with 2 Digit Divsors
  386.    wt: 2:   3 Division Single Digit Divisor Example
  387.    wt: 2:   2 Division with Single Digit Divisors
  388.    wt: 2:   A Elementary Basis for Multiplication Methods
  389.    wt: 2:   3 More One Digit Multipliers
  390.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  391.    wt: 2:   5 A Tip for Efficent Subtraction
  392.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  393.    wt: 2:   8 What skills and work habits to require
  394.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  395.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  396.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  397.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  398.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  399.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  400.    wt: 2:   Quick history of numbers and algebra
  401.    wt: 2:   Expression Evaluation how to show work
  402.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  403.    wt: 2:   Example 2 volume of a cone
  404.    wt: 2:   Example 1 volume of a pyramid
  405.    wt: 2:   Volume of Solid by Cross Sections Lesson
  406.    wt: 2:   Area Between Curves Lesson Take 2
  407.    wt: 2:   A Related Material in Volume 3
  408.    wt: 2:   38 Formulas and derivatives for powers and roots
  409.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  410.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  411.    wt: 2:   G.3 Constant Difference Theorem Proof
  412.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  413.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  414.    wt: 2:   F.5b Extreme Value Theorem
  415.    wt: 2:   F.5a Equicontinuity Theorems
  416.    wt: 2:   F.4 Finite Covering Theorem
  417.    wt: 2:   F.3 Intermediate Value Theorem
  418.    wt: 2:   F.2 Closed Range Theorem
  419.    wt: 2:   E1 Error Control Inequalities
  420.    wt: 2:   B3 Bolzano Weierstrass Theorem
  421.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  422.    wt: 2:   PostScript For and Against Decimal Perspectives
  423.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  424.    wt: 2:   Chapter 4. More Slope Sign Analysis
  425.    wt: 2:   Appendix E. How To Study Mathematics and Why
  426.    wt: 2:   Appendix D. What to do in School and Why
  427.    wt: 2:   Appendix C. How to Read
  428.    wt: 2:   Appendix B. How To Learn
  429.    wt: 2:   Chapter 30 Truth Tables
  430.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  431.    wt: 2:   Chapter 28 Occurrence Tables
  432.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  433.    wt: 2:   Chapter 25. Mathematical Induction Examples
  434.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  435.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  436.    wt: 2:   Chapter 21. Third Reading Guide
  437.    wt: 2:   Chapter 20. Degrees and Radians
  438.    wt: 2:   Chapter 19. Functions and Sets
  439.    wt: 2:   Chapter 15. Solving Linear Equations
  440.    wt: 2:   Chapter 13. Second Reading Guide
  441.    wt: 2:   Chapter 10 Describing and Changing Calculations
  442.    wt: 2:   Postscript What is a Variable
  443.    wt: 2:   Chapter 6 Change of Language
  444.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  445.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  446.    wt: 2:   Chapter 2 For and Against Mathematics
  447.    wt: 2:   S Adding words to algebra
  448.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  449.    wt: 2:   N Mathematics Prepare for College Studies
  450.    wt: 2:   M Words to extend arithmetic
  451.    wt: 2:   H more Routine to non routine problem solving
  452.    wt: 2:   F. The student teacher tutor feedback loop
  453.    wt: 2:   D. Check work a must with a caution
  454.    wt: 2:   B. Domino effect of errors
  455.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  456.    wt: 2:   7 Games and Activities for Instruction
  457.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  458.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  459.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  460.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  461.    wt: 1:   J LAMP Introduction Extrinsic Origins
  462.    wt: 1:   Ramblings Extrinsic numbers theory
  463.    wt: 1:   9 combinatorics probability sets
  464.    wt: 1:   three goals to set for students
  465.    wt: 1:   permissions for teachers
  466.    wt: 1:   Math Ed if it must be short make it lean effective
  467.    wt: 1:   activities for students
  468.    wt: 1:   site origins
  469.    wt: 1:   Mathematics Education Professors
  470.    wt: 1:   grouping students according to ability
  471.    wt: 1:   Education Reform Inconsistencies
  472.    wt: 1:   geometric implications for algebra
  473.    wt: 1:   three goals for Mathematics Education
  474.    wt: 1:   04 25 when to stop or suspend mathemat
  475.    wt: 1:   three aims for mathematics students
  476.    wt: 1:   standards for course material
  477.    wt: 1:   Theory of Knowledge
  478.    wt: 1:   Different Kinds of Reasoning in maths
  479.    wt: 1:   three kinds of reason in mathematics
  480.    wt: 1:   Four ways to improve education reform
  481.    wt: 1:   How to be a better instructor
  482.    wt: 1:   need for a mixed mathematics curriculum
  483.    wt: 1:   fairness and inductive principles for instruction
  484.    wt: 1:   3 Like resistors in parallel
  485.    wt: 1:   2 Unlike resistors in parallel01
  486.    wt: 1:   1 Like resistors in series
  487.    wt: 1:   F Unlike Resistors in Series
  488.    wt: 1:   C Electromotive force conventional current02
  489.    wt: 1:   B Electromotive force conventional current01
  490.    wt: 1:   Home Tutoring and Home Schooling
  491.    wt: 1:   24 Standards For Skill Develoment Take II
  492.    wt: 1:   24 Standards For Skill Develoment
  493.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  494.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  495.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  496.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  497.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  498.    wt: 1:   17 Math Booklets for children and young teenagers
  499.    wt: 1:   15 Counting For Parents
  500.    wt: 1:   12 Goals and Objectives For Mathematics
  501.    wt: 1:   11 Help and Defend Your Child or Teens Education
  502.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  503.    wt: 1:   5 Patience Please for Yourself and Your Charges
  504.    wt: 1:   4 Learning Takes Time and Effort
  505.    wt: 1:   3 Preparing for Science Studies
  506.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  507.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  508.    wt: 1:   26 Function definitions done and coming
  509.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  510.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  511.    wt: 1:   23 Inverse Functions
  512.    wt: 1:   22 Square Root function graphically
  513.    wt: 1:   18 Vertical Line Rule and Method
  514.    wt: 1:   17 Function maxima minima and their location
  515.    wt: 1:   15 Sign analysis of functions
  516.    wt: 1:   14 Surjections Injections Bijections
  517.    wt: 1:   13 From one to one to many to one
  518.    wt: 1:   12 Function Domain Recognition Exercises
  519.    wt: 1:   11 Function Domain Range Source and Targets
  520.    wt: 1:   10 Interval Notation
  521.    wt: 1:   8 Set view of relations and functions
  522.    wt: 1:   7 Functions with finite domains
  523.    wt: 1:   4 Function notation in and beyond mathematics
  524.    wt: 1:   2 Algebraic use of function notation
  525.    wt: 1:   1 Geometric Introduction of Function Notation
  526.    wt: 1:   Introduction Reading Guide
  527.    wt: 1:   A Quadratics Summary
  528.    wt: 1:   10 quadratic exercises
  529.    wt: 1:   9 quadratics physical and further context
  530.    wt: 1:   6 quadratics numerical approach
  531.    wt: 1:   5 quadratics completing the square
  532.    wt: 1:   4 quadratics difference of two squares
  533.    wt: 1:   2 quadratics graphing in general
  534.    wt: 1:   1 quadratics graphing exercises
  535.    wt: 1:   Quadratics in 10 steps
  536.    wt: 1:   11 Growth and Decay in Biology
  537.    wt: 1:   10 Exponential Growth and Decay Models
  538.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  539.    wt: 1:   2 Square Root Simplification a prequel
  540.    wt: 1:   7 Links Lessons Elsewhere
  541.    wt: 1:   3 Polynomials Multiplication Addition
  542.    wt: 1:   2 Column Multiplication Method
  543.    wt: 1:   1 Polynomials Distributive Law
  544.    wt: 1:   Rewriting algebraic substitution as function substitutions
  545.    wt: 1:   9 Summary Degrees to Radians and back
  546.    wt: 1:   8 Radian Measures of Common Angles
  547.    wt: 1:   7 Radian Measures in special Triangles
  548.    wt: 1:   6 Radian Measure to Degrees
  549.    wt: 1:   5 Degrees to Radian Measure
  550.    wt: 1:   2 Radian Measure Numerical Value of one degree
  551.    wt: 1:   1 Degrees and Radians Introduction
  552.    wt: 1:   4 graphing y=Asin(x c)
  553.    wt: 1:   3 graphing y=f(x c) plus K
  554.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  555.    wt: 1:   1 graphing y=f(x a)
  556.    wt: 1:   Parallel Lines and Parallel Transversals
  557.    wt: 1:   Triangle Angles Sum To 180 Degrees
  558.    wt: 1:   Straight Lines ASA Intersection Study
  559.    wt: 1:   Straight Lines Instersection Solving Equations
  560.    wt: 1:   Straight Lines Intersection of
  561.    wt: 1:   A Straight Line Slope Scaling Properties
  562.    wt: 1:   14 Straight Lines Equations General Case
  563.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  564.    wt: 1:   12 Straight Lines Graphing mx plus b
  565.    wt: 1:   11 Straight Lines Graphing y=mx
  566.    wt: 1:   7 Tangent Function is odd on this domain
  567.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  568.    wt: 1:   5 Tangent Function Graph
  569.    wt: 1:   4 Tangent Function Properties
  570.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  571.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  572.    wt: 1:   1 Straight Lines Slope Concept
  573.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  574.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  575.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  576.    wt: 1:   32 seven rows of pascals triangle
  577.    wt: 1:   31 basic secant cosecant cotangent trig identities
  578.    wt: 1:   30 unit circle calculation of six trigonometric functions
  579.    wt: 1:   28 Expressing products of sines cosines as sums
  580.    wt: 1:   27 Logarithmic use of products of sines and cosines
  581.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  582.    wt: 1:   18 sum of sinusoidal waves as a single wave
  583.    wt: 1:   17F Law of cosines
  584.    wt: 1:   17A The complex number valued trig function cis
  585.    wt: 1:   16 Right Triangle Complementary Angle Relations
  586.    wt: 1:   15 sine cosine Complementary Angle Relations
  587.    wt: 1:   14 cosine even and sine and tangent are odd
  588.    wt: 1:   13 Graph of tangent function many periods
  589.    wt: 1:   11 tangent function undefined when terminal side vertical
  590.    wt: 1:   10 Graphs of sines and cosines many periods
  591.    wt: 1:   9 Graphs of sine and cosine over one period
  592.    wt: 1:   8 period of tangent function
  593.    wt: 1:   7 period of sine and cosine
  594.    wt: 1:   2 Quadrant I reference Angles
  595.    wt: 1:   1 Unit Points Reflections Rotations
  596.    wt: 1:   Unit Circle Development of Trigonometry
  597.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  598.    wt: 1:   21 Logarithms Powers and Exponentials
  599.    wt: 1:   20 N th Roots of Complex Numbers
  600.    wt: 1:   19 N th Roots of Unity
  601.    wt: 1:   18 Sixth Roots of Unity
  602.    wt: 1:   17 Cube Roots of unity
  603.    wt: 1:   14 Law of cosines
  604.    wt: 1:   9 The complex number valued trig function cis
  605.    wt: 1:   8 Unit Circle Development of Trigonometry
  606.    wt: 1:   7 Second Way to Calculate Products
  607.    wt: 1:   6 Field Properties of Complex Number
  608.    wt: 1:   5 An Easy Proof of the Distributive Law
  609.    wt: 1:   4 Multiplication Properties
  610.    wt: 1:   3 Addition Properties
  611.    wt: 1:   2 Complex Numbers made easier we hope
  612.    wt: 1:   Appetizer A Complex Number Applet
  613.    wt: 1:   8 Triangles Cascade Problem Solving
  614.    wt: 1:   7 Trignometric Ratios Unit Circle
  615.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  616.    wt: 1:   3 Trigonometric Ratios sine and cosine
  617.    wt: 1:   1 Angle Measurement with Degrees
  618.    wt: 1:   Why Trigonometry the whyslopes view
  619.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  620.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  621.    wt: 1:   11 Triangle Similarity Missing Side Problem
  622.    wt: 1:   9 Similarity of Triangles Usual Criteria
  623.    wt: 1:   8 Similarity of Triangles and Polygons
  624.    wt: 1:   7 Translations Rotations Reflections Dilatations
  625.    wt: 1:   6 Geometric Diagrams in Class
  626.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  627.    wt: 1:   2 Similarity By Design
  628.    wt: 1:   Four Simple Exercises
  629.    wt: 1:   12 Links Lessons elsewhere
  630.    wt: 1:   11 A Partial Summary
  631.    wt: 1:   10 Midpoint of [a b] and [b a]
  632.    wt: 1:   7 Exercises to test skill and concept mastery
  633.    wt: 1:   6 Intersection of lines by solving linear systems
  634.    wt: 1:   5 Algebraic View of Slopes
  635.    wt: 1:   1 Numerical view of lines and their equations
  636.    wt: 1:   What is and is not here
  637.    wt: 1:   A Measurement with Ruler Proper Use
  638.    wt: 1:   6 Figuring with Maps Not to Scale
  639.    wt: 1:   4 Angles on Maps Plans drawn to scale
  640.    wt: 1:   3 Lengths and Areas on Maps and Plans
  641.    wt: 1:   2 Measuring Area Directly
  642.    wt: 1:   1 Length Measurement
  643.    wt: 1:   About Folder Contents
  644.    wt: 1:   26 More Less Greater Than Comparison
  645.    wt: 1:   21 Addition of Multiples of a Single Vector
  646.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  647.    wt: 1:   19 Signed Multiples of Vectors
  648.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  649.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  650.    wt: 1:   13 Arrows and Vectors in a Plane
  651.    wt: 1:   12 Real Numbers Line Signed Coordinates
  652.    wt: 1:   D Long Division Methods
  653.    wt: 1:   C Three Decimal Subtraction Methods
  654.    wt: 1:   B Decimal Comparison and Subtraction
  655.    wt: 1:   A Decimal Addition Columm Methods
  656.    wt: 1:   8 Column Multiplication Methods in General
  657.    wt: 1:   7 Decimals Multiplication Methods Examples
  658.    wt: 1:   3 Multiplicative Counting Skills Principles
  659.    wt: 1:   2 Combing Counts Addition Skills and Principles
  660.    wt: 1:   5 Areas of Rectangles Revisited
  661.    wt: 1:   4 Fraction Operations Axiomatic Development
  662.    wt: 1:   3 Inequalities Algebraically
  663.    wt: 1:   2 Fraction Operations Physical Development
  664.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  665.    wt: 1:   2 Linear Equation Literal Solution
  666.    wt: 1:   1 Changing Calculations
  667.    wt: 1:   5 Equality in Algebra
  668.    wt: 1:   4 Subtraction and Division Axioms
  669.    wt: 1:   2 Addition and Multiplication Axioms
  670.    wt: 1:   4 Comparison of Negative Numbers
  671.    wt: 1:   1 Real Numbers Comparison
  672.    wt: 1:   12 Real Number Additive Inverses or Negatives
  673.    wt: 1:   7 Real Numbers as Line Cordinates
  674.    wt: 1:   5 Rational Numbers More
  675.    wt: 1:   3 Geometric Formulas and Function Notation
  676.    wt: 1:   1 Formulas Dependence and Function Notation
  677.    wt: 1:   More Exercises
  678.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  679.    wt: 1:   6 Algebraic Solution Example
  680.    wt: 1:   5 Algebraic Solutions Introduction
  681.    wt: 1:   4 Four Examples Fractional Coefficients
  682.    wt: 1:   3 Four Examples
  683.    wt: 1:   2 Three Examples
  684.    wt: 1:   1 Proper Equal Sign Usage
  685.    wt: 1:   Using Letters for Physical Quantities
  686.    wt: 1:   9 Sets in Probability and Statistics
  687.    wt: 1:   8 Sets of Numbers
  688.    wt: 1:   6 Power Set Notation
  689.    wt: 1:   5 Product Builder Notation
  690.    wt: 1:   4 Subset Builder Notation
  691.    wt: 1:   3 Counting with Sets etc
  692.    wt: 1:   2 Venn Diagrams
  693.    wt: 1:   1 Finite Sets
  694.    wt: 1:   4 A Brief Story of numbers and algebra
  695.    wt: 1:   3 Adding Words To Arithmetic
  696.    wt: 1:   1 Three Skills For Algebra
  697.    wt: 1:   3 Comparison of Negative Numbers
  698.    wt: 1:   3 Properties of Square Roots with example
  699.    wt: 1:   2 Square Roots with Prime
  700.    wt: 1:   1 Squares and Square Roots Introduction
  701.    wt: 1:   11 What are real lengths and numbers
  702.    wt: 1:   10 dividing signed numbers
  703.    wt: 1:   9 subtracting signed numbers
  704.    wt: 1:   8 multiplying signed numbers
  705.    wt: 1:   7 negative and additive inverse
  706.    wt: 1:   6 adding signed numbers
  707.    wt: 1:   5 lengths and signs of numbers
  708.    wt: 1:   6 Simplification of Fractions with Units
  709.    wt: 1:   4 Fractions with Units
  710.    wt: 1:   3 Multiplying Units and Numbers
  711.    wt: 1:   2 Equality and Units
  712.    wt: 1:   1 Addition and Subtraction with Units
  713.    wt: 1:   D Three Term Ratios
  714.    wt: 1:   B Fractions and Two Term Ratios
  715.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  716.    wt: 1:   22 Complex Compound Fractions
  717.    wt: 1:   20 Dividing Fractions the Why
  718.    wt: 1:   19 Dividing Fractions How TO
  719.    wt: 1:   18 Efficient Ways to Multiply
  720.    wt: 1:   17 Efficient Ways to Add and Subtract
  721.    wt: 1:   16 Addition Subtraction Comparision Compared
  722.    wt: 1:   13 Fraction Comparison Algebraic View
  723.    wt: 1:   12 Fraction Comparison
  724.    wt: 1:   11 Simplification an Algebraic View
  725.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  726.    wt: 1:   9 Improper Fractions and Mixed Numbers
  727.    wt: 1:   8 Numerals Fractionals Quantals Take II
  728.    wt: 1:   7 Numerals Fractionals Quantals
  729.    wt: 1:   6 Multiplication of Mixed Numbers
  730.    wt: 1:   6 Multiplication Algebraically Take II
  731.    wt: 1:   4 Fraction Multiplication
  732.    wt: 1:   3 Unit fraction of a fraction
  733.    wt: 1:   2 Unit Fraction Multiplication
  734.    wt: 1:   1 What is a fraction Take II
  735.    wt: 1:   1 What is a fraction
  736.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  737.    wt: 1:   D Remainders Modulo 11 Pair Rule
  738.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  739.    wt: 1:   B Integer Long Division Multiple Choices
  740.    wt: 1:   13 Subtraction with Additive Inverse
  741.    wt: 1:   9 Multiplying Integers
  742.    wt: 1:   8 Multiplication by Signed Numbers Integers
  743.    wt: 1:   7 Multiplication by Signs
  744.    wt: 1:   6 Multiplication by Natural Numbers
  745.    wt: 1:   5 Zero Movement and Additive Inverses
  746.    wt: 1:   4 Adding Movements wiht opposite directions
  747.    wt: 1:   3 Adding Movements with same direction
  748.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  749.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  750.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  751.    wt: 1:   26 Divisibility by 2 3 5 Example
  752.    wt: 1:   23 Remainder Arithmetic Modulo 2
  753.    wt: 1:   21 Remainder Arithmetic Modulo 3
  754.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  755.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  756.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  757.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  758.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  759.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  760.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  761.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  762.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  763.    wt: 1:   5 Remainder Arithmetic Modulo 5
  764.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  765.    wt: 1:   1 Remainder Arithmetic Modulo 10
  766.    wt: 1:   Long Division Backward
  767.    wt: 1:   Division with Counts and Length
  768.    wt: 1:   7 Long Divison Mistake Catching
  769.    wt: 1:   1 Divsion Physical Examples
  770.    wt: 1:   D Decimal Multiplication Methods Derived
  771.    wt: 1:   C Counting Areas with Powers of Ten
  772.    wt: 1:   B Powers of Ten
  773.    wt: 1:   5 Decimal Fraction Multiplication
  774.    wt: 1:   4 Two and Three Digit Multipliers
  775.    wt: 1:   2 One Digit Multipliers
  776.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  777.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  778.    wt: 1:   Video Power Notation in Decimal Expansion
  779.    wt: 1:   1 Why 3 times 5 gives 15
  780.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  781.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  782.    wt: 1:   Subtraction with J Conversions Example
  783.    wt: 1:   Subtraction Another Video Lesson
  784.    wt: 1:   9 22 Minute Subtraction Review Video
  785.    wt: 1:   8 Subtraction with Units of Measure
  786.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  787.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  788.    wt: 1:   2 Subtraction Easy Case Examples
  789.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  790.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  791.    wt: 1:   7 Adding decimal fractions using decimal point
  792.    wt: 1:   6. Counting and adding units and mixed units
  793.    wt: 1:   5. How to add decimals C. Examples
  794.    wt: 1:   4. How to add with decimals B with conversions
  795.    wt: 1:   3. How to add with decimals A sans conversions
  796.    wt: 1:   2 Decimal Counting Practices
  797.    wt: 1:   1. Explaining Addition Table
  798.    wt: 1:   11 Place Value SI Standard International way
  799.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  800.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  801.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  802.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  803.    wt: 1:   Exact Arithmetic Wholes and Fractions
  804.    wt: 1:   The 20 Times Table
  805.    wt: 1:   The 12 Times Table Visually
  806.    wt: 1:   About folder contents
  807.    wt: 1:   015 School and work day counting tables
  808.    wt: 1:   Example 1. Area Between x and x squared
  809.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  810.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  811.    wt: 1:   Example 4 with x function of y
  812.    wt: 1:   Example 3
  813.    wt: 1:   Example 2
  814.    wt: 1:   Example 1
  815.    wt: 1:   Area Between Curves Lesson Take 1
  816.    wt: 1:   Summary
  817.    wt: 1:   A Related lessons in Volume 3
  818.    wt: 1:   28 Chain Rule Preparation for a Proof
  819.    wt: 1:   22 Chain Rule for polynomials
  820.    wt: 1:   21 Chain Rule for powers
  821.    wt: 1:   20 Chain Rule for Pulley Systems
  822.    wt: 1:   19 Chain Rule for linear functions
  823.    wt: 1:   10 Power rule for negative integers
  824.    wt: 1:   3 Motivation for Limit Definition Take 2
  825.    wt: 1:   2 Motivation for Limit Definition Take 1
  826.    wt: 1:   7 Evaluation by immediate or delayed substitution
  827.    wt: 1:   5 Jumps and absence of unlimited error control
  828.    wt: 1:   3 Decimal insights for limits continuity convergence
  829.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  830.    wt: 1:   G.5 Motions With Bounded Velocities
  831.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  832.    wt: 1:   F.1 What Functions are Continuous
  833.    wt: 1:   E2 Algebraic Properties of Limits
  834.    wt: 1:   D2 Limits of Monotone Sequences
  835.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  836.    wt: 1:   C Triangle Inequalities
  837.    wt: 1:   A1. Introduction
  838.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  839.    wt: 1:   Chapter 23 Links To Trigonometry
  840.    wt: 1:   Chapter 22 Complex Numbers
  841.    wt: 1:   Chapter 21 Arrow Addition
  842.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  843.    wt: 1:   Chapter 18. Slopes Areas Integration
  844.    wt: 1:   Chapter 17. Area Approximation
  845.    wt: 1:   Chapter 16. Velocity Approximation
  846.    wt: 1:   Chapter 15. Slope Approximation
  847.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  848.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  849.    wt: 1:   Chapter 13. Acceleration
  850.    wt: 1:   Chapter 12. Units and Slopes
  851.    wt: 1:   Chapter 11. Graphing Slope versus Position
  852.    wt: 1:   Chapter 10 Slopes and Units
  853.    wt: 1:   Chapter 9 About First Courses in Calculus
  854.    wt: 1:   Chapter 8. Slope Interpretation
  855.    wt: 1:   Chapter 7 Slopes and Velocity
  856.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  857.    wt: 1:   Chapter 5. Slope Sign Tests
  858.    wt: 1:   Chapter 3. Slope Sign Analysis
  859.    wt: 1:   Chapter 2. Slopes and Ski Trails
  860.    wt: 1:   Chapter 1.Introduction
  861.    wt: 1:   Fall 1983 Calculus Appetizer
  862.    wt: 1:   Annotated Links to Material Elsehwere
  863.    wt: 1:   Postscript B Mathematics Education References
  864.    wt: 1:   Postscript A Three Remarks
  865.    wt: 1:   Chapter 12 Four Phases
  866.    wt: 1:   Chapter 11 Elementary Instruction
  867.    wt: 1:   Chapter 10 Transition
  868.    wt: 1:   Chapter 9 The Two Ends
  869.    wt: 1:   Chapter 8 Modern Instruction
  870.    wt: 1:   Chapter 7 Two Treatments of Geometry
  871.    wt: 1:   Chapter 5 Four References
  872.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  873.    wt: 1:   Chapter 3 Algebra Difficulties
  874.    wt: 1:   Chapter 1 Introduction
  875.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  876.    wt: 1:   R Why Learn Mathematics Skills
  877.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  878.    wt: 1:   O On Learning Mathematics and Science
  879.    wt: 1:   L Skills with take home value
  880.    wt: 1:   N Improving Marks on Tests and Finals
  881.    wt: 1:   I. Logic and language skills
  882.    wt: 1:   H Jigsaw puzzles and problem solving
  883.    wt: 1:   C. Domino effect of being careful
  884.    wt: 1:   A. Skill has to be seen to believed
  885.    wt: 1:   How to Build Skills and Confidence
  886.    wt: 1:   Chapter 6 More Algebra and Geometry
  887.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  888.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  889.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  890.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  891.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  892.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  893.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  894.    wt: 1:   Helping the Blind in Logic and Mathematics
  895.    wt: 1:   Mathematics Education References
  896.    wt: 1:   Mathematics Education References
  897.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  898.    wt: 1:   Implementation Notes
  899.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  900.    wt: 1:   Systematic Algebra Skill Development Missing Links
  901.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  902.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  903.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  904.    wt: 1:   Which Way To Go
  905.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  906.    wt: 1:   The Math Forum and Site Content

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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