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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59 matches:

  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:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  38.    wt: 1:   1 Working With Sets/
  39.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  40.    wt: 1:   11 Squares and Square Roots/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  42.    wt: 1:   7 Arithmetic and Fractions with Units/
  43.    wt: 1:   6 Fractions and Ratios/
  44.    wt: 1:   5 Integers/
  45.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  46.    wt: 1:   D Decimal Long Division Methods/
  47.    wt: 1:   C Decimal Multiplication Methods/
  48.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  49.    wt: 1:   A Decimal Counting and Adding Methods/
  50.    wt: 1:   2 Arithmetic with Decimals/
  51.    wt: 1:   1 Decimal Place Value/
  52.    wt: 1:   Arithmetic and Number Theory Skills/
  53.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  54.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  55.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  56.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  57.    wt: 1:   Work and Study Tips/
  58.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  59.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

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

Extended Search

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