Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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

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

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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70 matches:

  1.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   13 Lessons on Limits and Continuity/
  3.    wt: 5:   A Origins of Counting and Figuring Methods/
  4.    wt: 5:   5 Lessons on Integration/
  5.    wt: 5:   4 Lessons on Using Derivatives/
  6.    wt: 5:   38 Lessons on Calculating Derivatives/
  7.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 4:   6 Fractions and Ratios/
  9.    wt: 4:   70 Calculus Starter Lessons/
  10.    wt: 3:   6 Trigonometry first steps/
  11.    wt: 3:   10 Examples of Algebraic Reasoning/
  12.    wt: 3:   9 Proportionality Backwards and Forwards/
  13.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  14.    wt: 3:   4 Computation Rules and Function Notation/
  15.    wt: 3:   Step 1 Stick diagram and fractions/
  16.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  17.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  18.    wt: 3:   A Decimal Counting and Adding Methods/
  19.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  20.    wt: 2:   Mathematics Skills Year by Year/
  21.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 2:   12 Function Translating and Rescaling/
  23.    wt: 2:   11 Parallel Straight Lines and Transversals/
  24.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  26.    wt: 2:   4 Lines and Slopes Take 1/
  27.    wt: 2:   3 Cartesian and Polar Coordinates/
  28.    wt: 2:   B Real Numbers Extrinsic Development/
  29.    wt: 2:   8 Unifying Theme For Algebra/
  30.    wt: 2:   5 Real Numbers/
  31.    wt: 2:   Step 4 Gaussian Elimination/
  32.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  33.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  34.    wt: 2:   3 Solving Linear Equations/
  35.    wt: 2:   2 Formula Forward Use Evaluation/
  36.    wt: 2:   1 Working With Sets/
  37.    wt: 2:   Algebra Starter Lessons/
  38.    wt: 2:   11 Squares and Square Roots/
  39.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  40.    wt: 2:   9 Combinatorics Trees Tables and Products/
  41.    wt: 2:   7 Arithmetic and Fractions with Units/
  42.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  43.    wt: 2:   D Decimal Long Division Methods/
  44.    wt: 2:   C Decimal Multiplication Methods/
  45.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  46.    wt: 2:   Volume 1 Elements of Reason/
  47.    wt: 2:   Mathematics 506 Lessons/
  48.    wt: 1:   Volume 1A Regles et modeles/
  49.    wt: 1:   Direct Current Electric Circuits/
  50.    wt: 1:   Parent Center/
  51.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  52.    wt: 1:   13 Vectors/
  53.    wt: 1:   8 Unit Circle Trigonometry/
  54.    wt: 1:   7 Complex Numbers/
  55.    wt: 1:   5 What is Similarity/
  56.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  57.    wt: 1:   1 Maps Plans Measurement/
  58.    wt: 1:   Geometry maps plans trigonometry vectors/
  59.    wt: 1:   8 Arithmetic with Signed Numbers/
  60.    wt: 1:   5 Integers/
  61.    wt: 1:   3 Prime Factorization Skills/
  62.    wt: 1:   2 Arithmetic with Decimals/
  63.    wt: 1:   1 Decimal Place Value/
  64.    wt: 1:   Arithmetic and Number Theory Skills/
  65.    wt: 1:   Volume 2 Three Skills For Algebra/
  66.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  67.    wt: 1:   Volume 1A Pattern Based Reason/
  68.    wt: 1:   Work and Study Tips/
  69.    wt: 1:   Resources and Reciprocal Links/
  70.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

506 matches:

  1.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  2.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  3.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  4.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  5.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 3:   27 Logarithmic use of products of sines and cosines
  7.    wt: 3:   26 Formulas for products of sines and cosines
  8.    wt: 3:   6 Intersection of lines by solving linear systems
  9.    wt: 3:   16 Angles Subtended By Chords and Diameters
  10.    wt: 3:   11 Volume of Sphere
  11.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  12.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  13.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  14.    wt: 3:   6. Counting and adding units and mixed units
  15.    wt: 3:   Volume of Solid by Cross Sections Lesson
  16.    wt: 3:   17 Derivatives of quotients of sine and cosine
  17.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  18.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  19.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  20.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  21.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  22.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  23.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  24.    wt: 2:   26 Function definitions done and coming
  25.    wt: 2:   19 Horizontal line rule and method
  26.    wt: 2:   18 Vertical Line Rule and Method
  27.    wt: 2:   8 Set view of relations and functions
  28.    wt: 2:   6 Set Existence Formation and Notation
  29.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  30.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  31.    wt: 2:   16 cotangent function Definition Graph and Inverse
  32.    wt: 2:   6 Graph of arccos function
  33.    wt: 2:   4 Resultant of a Sum of Movements
  34.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  35.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  36.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  37.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  38.    wt: 2:   14 cosine even and sine and tangent are odd
  39.    wt: 2:   10 Graphs of sines and cosines many periods
  40.    wt: 2:   9 Graphs of sine and cosine over one period
  41.    wt: 2:   7 period of sine and cosine
  42.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  43.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  44.    wt: 2:   16 References and Originality Question
  45.    wt: 2:   6 Field Properties of Complex Number
  46.    wt: 2:   5 An Easy Proof of the Distributive Law
  47.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  48.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  49.    wt: 2:   8 Similarity of Triangles and Polygons
  50.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  51.    wt: 2:   10 Midpoint of [a b] and [b a]
  52.    wt: 2:   1 Numerical view of lines and their equations
  53.    wt: 2:   6 Polar Multiplication and Rotation
  54.    wt: 2:   6 Ruler and compass Angle Bisection
  55.    wt: 2:   3 Lengths and Areas on Maps and Plans
  56.    wt: 2:   21 Addition of Multiples of a Single Vector
  57.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  58.    wt: 2:   8 Division and Mulplication of Compound Fractions
  59.    wt: 2:   6 Column Methods for Decimal Multiplication
  60.    wt: 2:   6 Compound Interest Forward and Backwards
  61.    wt: 2:   6 Equations and Systems Equivalent or Implied
  62.    wt: 2:   2 More and Less Than for Counts and Measures
  63.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  64.    wt: 2:   10 Volume of Pyramid
  65.    wt: 2:   9 Volume of Cone
  66.    wt: 2:   6 Three Notions of What is a Variable
  67.    wt: 2:   4 A Brief Story of numbers and algebra
  68.    wt: 2:   1 More and Less Than for Counts and Measures
  69.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  70.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  71.    wt: 2:   4 LCM of 8 and 10 via Prime
  72.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  73.    wt: 2:   1 Counting and Counting Methods I
  74.    wt: 2:   5 lengths and signs of numbers
  75.    wt: 2:   6 Simplification of Fractions with Units
  76.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  77.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  78.    wt: 2:   6 Multiplication of Mixed Numbers
  79.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  80.    wt: 2:   6 Multiplication by Natural Numbers
  81.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  82.    wt: 2:   26 Divisibility by 2 3 5 Example
  83.    wt: 2:   16 video Factors of 980 using prime
  84.    wt: 2:   2 Prime and Composites less than 16
  85.    wt: 2:   10 Division by Five Long and Short Ways
  86.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  87.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  88.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  89.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  90.    wt: 2:   Quick history of numbers and algebra
  91.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  92.    wt: 2:   012 Division of Time Intervals by Time Intervals
  93.    wt: 2:   011 Division of Time Intervals By Numbers
  94.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  95.    wt: 2:   4 Mixing and Changing Units of Time
  96.    wt: 2:   3 Units and Lengths of Time
  97.    wt: 2:   Example 2 volume of a cone
  98.    wt: 2:   Example 1 volume of a pyramid
  99.    wt: 2:   A Related lessons in Volume 3
  100.    wt: 2:   38 Formulas and derivatives for powers and roots
  101.    wt: 2:   5 Jumps and absence of unlimited error control
  102.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  103.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  104.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  105.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  106.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  107.    wt: 2:   Chapter 6 Change of Language
  108.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  109.    wt: 2:   Chapter 6 Chains of Reason
  110.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  111.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  112.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  113.    wt: 2:   Chapter 6 More Algebra and Geometry
  114.    wt: 2:   Chapter 3 Algebra Starter Lessons
  115.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  116.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  117.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  118.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  119.    wt: 2:   More Algebra and Slope based Calculus Preview
  120.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  121.    wt: 1:   Appendix 1 primary and preschool mathematic
  122.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  123.    wt: 1:   Skills Chapter 5 Calculus
  124.    wt: 1:   7 logic review and decimals an odd combination
  125.    wt: 1:   6 polynomials etc
  126.    wt: 1:   5 logarithms and exponentials etc
  127.    wt: 1:   key notes and themes
  128.    wt: 1:   Mathematics Education Professors
  129.    wt: 1:   what should be learnt and When
  130.    wt: 1:   standards for course material
  131.    wt: 1:   Theory of Knowledge
  132.    wt: 1:   Education in mathematics science and technology
  133.    wt: 1:   Different Kinds of Reasoning in maths
  134.    wt: 1:   three kinds of reason in mathematics
  135.    wt: 1:   Motivation and Context Problem
  136.    wt: 1:   fairness and inductive principles for instruction
  137.    wt: 1:   chapitre 06 00 Chaines de la raison
  138.    wt: 1:   chapitre 04 06 engagements
  139.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  140.    wt: 1:   1 Energy Power Heat06
  141.    wt: 1:   E Kirchoffs Second Law
  142.    wt: 1:   D Kirchoff First Law
  143.    wt: 1:   Home Tutoring and Home Schooling
  144.    wt: 1:   24 Standards For Skill Develoment Take II
  145.    wt: 1:   24 Standards For Skill Develoment
  146.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  147.    wt: 1:   17 Math Booklets for children and young teenagers
  148.    wt: 1:   16 Secondary Mathematics Tips
  149.    wt: 1:   14 Multiplication and Times Tables
  150.    wt: 1:   13 Addition and Addition Tables
  151.    wt: 1:   12 Goals and Objectives For Mathematics
  152.    wt: 1:   11 Help and Defend Your Child or Teens Education
  153.    wt: 1:   9 Streaming by Student Cooperation
  154.    wt: 1:   8 The Effect of Negative Remarks
  155.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  156.    wt: 1:   5 Patience Please for Yourself and Your Charges
  157.    wt: 1:   4 Learning Takes Time and Effort
  158.    wt: 1:   2 Reading and Writing Skills
  159.    wt: 1:   Ages 6 to 7
  160.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  161.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  162.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  163.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  164.    wt: 1:   17 Function maxima minima and their location
  165.    wt: 1:   16 Increasing or decreasing on intervals
  166.    wt: 1:   15 Sign analysis of functions
  167.    wt: 1:   11 Function Domain Range Source and Targets
  168.    wt: 1:   4 Function notation in and beyond mathematics
  169.    wt: 1:   2 Algebraic use of function notation
  170.    wt: 1:   1 Geometric Introduction of Function Notation
  171.    wt: 1:   9 quadratics physical and further context
  172.    wt: 1:   8 quadratics backward use of various formulas
  173.    wt: 1:   6 quadratics numerical approach
  174.    wt: 1:   4 quadratics difference of two squares
  175.    wt: 1:   3 quadratics factoring by inspection
  176.    wt: 1:   11 Growth and Decay in Biology
  177.    wt: 1:   10 Exponential Growth and Decay Models
  178.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  179.    wt: 1:   1 Calculator Starter Exercises
  180.    wt: 1:   7 Links Lessons Elsewhere
  181.    wt: 1:   2 Column Multiplication Method
  182.    wt: 1:   15 cosecant function Definition Graph and Inverse
  183.    wt: 1:   14 secant function Definition Graph and Inverse
  184.    wt: 1:   13 cosecant function Definition Graph and Inverse
  185.    wt: 1:   11 arctan left inverse of tangent Graph
  186.    wt: 1:   10 arctan left inverse of tangent Definition
  187.    wt: 1:   8 arcsin left inverse of sine Graph
  188.    wt: 1:   7 arcsin left inverse of sine Definition
  189.    wt: 1:   3 Left Inverse of cosine arccos definition
  190.    wt: 1:   9 Summary Degrees to Radians and back
  191.    wt: 1:   8 Radian Measures of Common Angles
  192.    wt: 1:   6 Radian Measure to Degrees
  193.    wt: 1:   2 Radian Measure Numerical Value of one degree
  194.    wt: 1:   1 Degrees and Radians Introduction
  195.    wt: 1:   A Global Time and Navigation
  196.    wt: 1:   15 Dot and Cross Product
  197.    wt: 1:   11 Component Method
  198.    wt: 1:   10 Parallelogram Addition Method
  199.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  200.    wt: 1:   6 Vectors with Coordinates
  201.    wt: 1:   Vector and Complex Number Applet
  202.    wt: 1:   Parallel Lines and Parallel Transversals
  203.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  204.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  205.    wt: 1:   Parallel Lines and Interior Angles
  206.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  207.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  208.    wt: 1:   Straight Lines Intersection of
  209.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  210.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  211.    wt: 1:   32 seven rows of pascals triangle
  212.    wt: 1:   30 unit circle calculation of six trigonometric functions
  213.    wt: 1:   29 secant cosecant and cotangent for acute angles
  214.    wt: 1:   28 Expressing products of sines cosines as sums
  215.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  216.    wt: 1:   21 sine and cosine Half Angle Formulas
  217.    wt: 1:   20 sine and cosine Double Angle Formulas
  218.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  219.    wt: 1:   18 sum of sinusoidal waves as a single wave
  220.    wt: 1:   17F Law of cosines
  221.    wt: 1:   17E Trig Formulas for dot and cross Products
  222.    wt: 1:   17D cis formulas for sine cosines and tangent
  223.    wt: 1:   17C sine and cosine double triple angle formulas
  224.    wt: 1:   16 Right Triangle Complementary Angle Relations
  225.    wt: 1:   13 Graph of tangent function many periods
  226.    wt: 1:   12 Graph of tangent function for one period
  227.    wt: 1:   8 period of tangent function
  228.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  229.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  230.    wt: 1:   Unit Circle Development of Trigonometry
  231.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  232.    wt: 1:   21 Logarithms Powers and Exponentials
  233.    wt: 1:   20 N th Roots of Complex Numbers
  234.    wt: 1:   19 N th Roots of Unity
  235.    wt: 1:   18 Sixth Roots of Unity
  236.    wt: 1:   17 Cube Roots of unity
  237.    wt: 1:   14 Law of cosines
  238.    wt: 1:   13 Trig Formulas for dot and cross Products
  239.    wt: 1:   12 cis formulas for sine cosines and tangent
  240.    wt: 1:   11 sine and cosine double triple angle formulas
  241.    wt: 1:   8 Unit Circle Development of Trigonometry
  242.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  243.    wt: 1:   3 Trigonometric Ratios sine and cosine
  244.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  245.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  246.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  247.    wt: 1:   9 Similarity of Triangles Usual Criteria
  248.    wt: 1:   6 Geometric Diagrams in Class
  249.    wt: 1:   3 Similarity by Design with coordinates
  250.    wt: 1:   2 Similarity By Design
  251.    wt: 1:   1 Early Concept of Like or Similar Shapes
  252.    wt: 1:   12 Links Lessons elsewhere
  253.    wt: 1:   7 Exercises to test skill and concept mastery
  254.    wt: 1:   5 Algebraic View of Slopes
  255.    wt: 1:   What is and is not here
  256.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  257.    wt: 1:   5 Cartesian Addition and Translation
  258.    wt: 1:   4 Polar Coordinates to and from
  259.    wt: 1:   PS B Parallelogram Construction Methods
  260.    wt: 1:   PS A Kite Construction Methods
  261.    wt: 1:   17 Right Bisectors of Triangle Sides
  262.    wt: 1:   9 Construction of a right bisector
  263.    wt: 1:   3 Isometry of Triangles Congruence
  264.    wt: 1:   1 Initial Concepts and Terms
  265.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  266.    wt: 1:   6 Figuring with Maps Not to Scale
  267.    wt: 1:   A Modular and Remainder Arithmetic
  268.    wt: 1:   26 More Less Greater Than Comparison
  269.    wt: 1:   22 Multiplication of Signed Numbers
  270.    wt: 1:   19 Signed Multiples of Vectors
  271.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  272.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  273.    wt: 1:   13 Arrows and Vectors in a Plane
  274.    wt: 1:   11 Signed Number Addition and Addition Properties
  275.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  276.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  277.    wt: 1:   4 Location of Point in Decimal Addition
  278.    wt: 1:   3 Location of Point in Decimal Multiplication
  279.    wt: 1:   E Long Division Methods more
  280.    wt: 1:   D Long Division Methods
  281.    wt: 1:   C Three Decimal Subtraction Methods
  282.    wt: 1:   B Decimal Comparison and Subtraction
  283.    wt: 1:   A Decimal Addition Columm Methods
  284.    wt: 1:   8 Column Multiplication Methods in General
  285.    wt: 1:   7 Decimals Multiplication Methods Examples
  286.    wt: 1:   2 Combing Counts Addition Skills and Principles
  287.    wt: 1:   1 The Counting Origins of Numbers
  288.    wt: 1:   5 Areas of Rectangles Revisited
  289.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  290.    wt: 1:   4 Rates Ratios and Proporitionality
  291.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  292.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  293.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  294.    wt: 1:   4 Subtraction and Division Axioms
  295.    wt: 1:   2 Addition and Multiplication Axioms
  296.    wt: 1:   4 Comparison of Negative Numbers
  297.    wt: 1:   3 More and Less Than with Unlike Signs
  298.    wt: 1:   16 Real Numbers Comparison
  299.    wt: 1:   10 Real Number Lengths and Signs
  300.    wt: 1:   8 Coordinates for Maps and Planes
  301.    wt: 1:   6 Unsigned Real Numbers
  302.    wt: 1:   1 Whole and Natural Numbers
  303.    wt: 1:   3 Geometric Formulas and Function Notation
  304.    wt: 1:   1 Formulas Dependence and Function Notation
  305.    wt: 1:   3 GE III Equation Addition and Multiplication
  306.    wt: 1:   6 Algebraic Solution Example
  307.    wt: 1:   6 Three Examples
  308.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  309.    wt: 1:   5 Box Volume Formula Example
  310.    wt: 1:   1 Written work formats for developing and showing skill
  311.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  312.    wt: 1:   9 Sets in Probability and Statistics
  313.    wt: 1:   8 Sets of Numbers
  314.    wt: 1:   6 Power Set Notation
  315.    wt: 1:   5 Talking about Numbers and Quantities
  316.    wt: 1:   3 Comparison of Negative Numbers
  317.    wt: 1:   2 More and Less Than with Unlike Signs
  318.    wt: 1:   3 Properties of Square Roots with example
  319.    wt: 1:   1 Squares and Square Roots Introduction
  320.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  321.    wt: 1:   7 GCD and LCM from prime factorization
  322.    wt: 1:   6 GCD from Prime
  323.    wt: 1:   5 Common Divisors 60 45 via Prime
  324.    wt: 1:   2 Least Common Multiple LCM intro via list method
  325.    wt: 1:   3 Counting with Tables and Trees II
  326.    wt: 1:   2 Counting with Tables and Trees I
  327.    wt: 1:   11 What are real lengths and numbers
  328.    wt: 1:   7 negative and additive inverse
  329.    wt: 1:   6 adding signed numbers
  330.    wt: 1:   3 signed coordinates for maps and planes
  331.    wt: 1:   2 signed and unsigned numbers as coordinates
  332.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  333.    wt: 1:   3 Multiplying Units and Numbers
  334.    wt: 1:   2 Equality and Units
  335.    wt: 1:   1 Addition and Subtraction with Units
  336.    wt: 1:   B Fractions and Two Term Ratios
  337.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  338.    wt: 1:   21 Reciprocals for Fractions and Wholes
  339.    wt: 1:   17 Efficient Ways to Add and Subtract
  340.    wt: 1:   16 Addition Subtraction Comparision Compared
  341.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  342.    wt: 1:   14 Adding and Subtracting with Like Denominators
  343.    wt: 1:   9 Improper Fractions and Mixed Numbers
  344.    wt: 1:   6 Multiplication Algebraically Take II
  345.    wt: 1:   3 Unit fraction of a fraction
  346.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  347.    wt: 1:   11 Adding Integers Formulas and Examples
  348.    wt: 1:   8 Multiplication by Signed Numbers Integers
  349.    wt: 1:   7 Multiplication by Signs
  350.    wt: 1:   5 Zero Movement and Additive Inverses
  351.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  352.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  353.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  354.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  355.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  356.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  357.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  358.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  359.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  360.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  361.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  362.    wt: 1:   20 Uniqueness of Prime Factorization
  363.    wt: 1:   17 Identify and Count Factors using Primes
  364.    wt: 1:   15 video Factors of 20 using Prime Factorization
  365.    wt: 1:   14 video Factors of 24 Take II
  366.    wt: 1:   13 video Factors of 24 using prime
  367.    wt: 1:   12 LCD GCD and LCM using Primes
  368.    wt: 1:   7 Calculator Usage Notes and Cautions
  369.    wt: 1:   5 Prime Factorization and a Square Rule
  370.    wt: 1:   3 video Primes and Composites from 9 times table
  371.    wt: 1:   Division with Counts and Length
  372.    wt: 1:   Long Division forwards and backwards Example 3
  373.    wt: 1:   Long Division forwards and backwards Example 2
  374.    wt: 1:   Long Division forwards and backwards Example 1
  375.    wt: 1:   D Decimal Multiplication Methods Derived
  376.    wt: 1:   C Counting Areas with Powers of Ten
  377.    wt: 1:   B Powers of Ten
  378.    wt: 1:   A Elementary Basis for Multiplication Methods
  379.    wt: 1:   6 Multiplication Commutes Order Not Important
  380.    wt: 1:   4 Two and Three Digit Multipliers
  381.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  382.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  383.    wt: 1:   8 Subtraction with Units of Measure
  384.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  385.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  386.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  387.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  388.    wt: 1:   8 What skills and work habits to require
  389.    wt: 1:   11 Place Value SI Standard International way
  390.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  391.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  392.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  393.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  394.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  395.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  396.    wt: 1:   Exact Arithmetic Wholes and Fractions
  397.    wt: 1:   016 Numbering Occidental Calendar Days
  398.    wt: 1:   015 School and work day counting tables
  399.    wt: 1:   010 Repeated Addition of Time Intervals
  400.    wt: 1:   8 Addition of Time Intervals via subtotaling
  401.    wt: 1:   7 Addition of Time Intervals
  402.    wt: 1:   6 How long is a million seconds
  403.    wt: 1:   2 Time and Date Matters in School
  404.    wt: 1:   1 Intro of Kids To Time Date Skills
  405.    wt: 1:   Example 1. Area Between x and x squared
  406.    wt: 1:   Example 4 with x function of y
  407.    wt: 1:   A Related Material in Volume 3
  408.    wt: 1:   3 Two Chain Rule Method Exercises
  409.    wt: 1:   1 Chain Rule in Reverse Integration Method
  410.    wt: 1:   36 Cube root derivative animated
  411.    wt: 1:   34 Derivative of exponential function
  412.    wt: 1:   31 Derivatives of inverse functions
  413.    wt: 1:   30Chain Rule A Proof
  414.    wt: 1:   28 Chain Rule Preparation for a Proof
  415.    wt: 1:   26 Chain Rule Recognising outer inner functions
  416.    wt: 1:   15 sine and cosine derivatives 3rd step
  417.    wt: 1:   14 sine and cosine derivatives 2nd step
  418.    wt: 1:   13 sine and cosine derivatives 1st step
  419.    wt: 1:   8 Differentiation of polynomials
  420.    wt: 1:   6 Power rule from product rule
  421.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  422.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  423.    wt: 1:   9 Limits Continuity and Composition
  424.    wt: 1:   7 Evaluation by immediate or delayed substitution
  425.    wt: 1:   6 Continuity at a point
  426.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  427.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  428.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  429.    wt: 1:   G.3 Constant Difference Theorem Proof
  430.    wt: 1:   E2 Algebraic Properties of Limits
  431.    wt: 1:   D2 Limits of Monotone Sequences
  432.    wt: 1:   PostScript For and Against Decimal Perspectives
  433.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  434.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  435.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  436.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  437.    wt: 1:   Chapter 16. Velocity Approximation
  438.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  439.    wt: 1:   Chapter 12. Units and Slopes
  440.    wt: 1:   Chapter 10 Slopes and Units
  441.    wt: 1:   Chapter 9 About First Courses in Calculus
  442.    wt: 1:   Chapter 7 Slopes and Velocity
  443.    wt: 1:   Chapter 2. Slopes and Ski Trails
  444.    wt: 1:   Fall 1983 Calculus Appetizer
  445.    wt: 1:   Appendix E. How To Study Mathematics and Why
  446.    wt: 1:   Appendix D. What to do in School and Why
  447.    wt: 1:   Chapter 31 Direct and Indirect Reason
  448.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  449.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  450.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  451.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  452.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  453.    wt: 1:   Chapter 20. Degrees and Radians
  454.    wt: 1:   Chapter 19. Functions and Sets
  455.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  456.    wt: 1:   Chapter 16. Painless Theorem Proving
  457.    wt: 1:   Chapter 12. Shorthand Usage Guide
  458.    wt: 1:   Chapter 11. Why Shorthand
  459.    wt: 1:   Chapter 10 Describing and Changing Calculations
  460.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  461.    wt: 1:   Chapter 4 Longer Chains of Reason
  462.    wt: 1:   Chapter 3 Chains of Reason
  463.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  464.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  465.    wt: 1:   Chapter 7 Two Treatments of Geometry
  466.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  467.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  468.    wt: 1:   Chapter 2 For and Against Mathematics
  469.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  470.    wt: 1:   Postscript B More on Story Telling and Reason
  471.    wt: 1:   Chapter 24 Direct and Indirect Reason
  472.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  473.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  474.    wt: 1:   Chapter 18 Sense and Knowledge
  475.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  476.    wt: 1:   Chapter 8 Change of Language
  477.    wt: 1:   Chapter 7 Longer Chains of Reason
  478.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  479.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  480.    wt: 1:   O On Learning Mathematics and Science
  481.    wt: 1:   N Improving Marks on Tests and Finals
  482.    wt: 1:   J. More on written work and showing skill
  483.    wt: 1:   I. Logic and language skills
  484.    wt: 1:   H Jigsaw puzzles and problem solving
  485.    wt: 1:   G. Written work formats for developing and showing skill
  486.    wt: 1:   E. When and how to correct errors
  487.    wt: 1:   C. Domino effect of being careful
  488.    wt: 1:   B. Domino effect of errors
  489.    wt: 1:   How to Build Skills and Confidence
  490.    wt: 1:   Chapter 8 Skipped Topics and Why
  491.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  492.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  493.    wt: 1:   7 Games and Activities for Instruction
  494.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  495.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  496.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  497.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  498.    wt: 1:   Helping the Blind in Logic and Mathematics
  499.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  500.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  501.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  502.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  503.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  504.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  505.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  506.    wt: 1:   The Math Forum and Site Content

Extended Search

1026 matches:

  1.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  2.    wt: 8:   6 Column Methods for Decimal Multiplication
  3.    wt: 8:   Example 1. Area Between x and x squared
  4.    wt: 8:   Example 4 with x function of y
  5.    wt: 8:   17 Derivatives of quotients of sine and cosine
  6.    wt: 8:   6 Continuity at a point
  7.    wt: 8:   5 Jumps and absence of unlimited error control
  8.    wt: 7:   6 Multiplication of Mixed Numbers
  9.    wt: 7:   6. Counting and adding units and mixed units
  10.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  11.    wt: 7:   Area Between Crossing Curves Lesson Take 1
  12.    wt: 7:   Example 3
  13.    wt: 7:   Example 2
  14.    wt: 7:   Example 1
  15.    wt: 7:   Area Between Curves Lesson Take 2
  16.    wt: 7:   Area Between Curves Lesson Take 1
  17.    wt: 7:   Summary
  18.    wt: 7:   A Related lessons in Volume 3
  19.    wt: 7:   38 Formulas and derivatives for powers and roots
  20.    wt: 7:   13 sine and cosine derivatives 1st step
  21.    wt: 7:   8 Differentiation of polynomials
  22.    wt: 7:   13 Limits with Parameters and Derivatives Take II
  23.    wt: 7:   12 Limits with Parameters and Derivatives Take I
  24.    wt: 7:   9 Limits Continuity and Composition
  25.    wt: 7:   7 Evaluation by immediate or delayed substitution
  26.    wt: 6:   6 Intersection of lines by solving linear systems
  27.    wt: 6:   E Long Division Methods more
  28.    wt: 6:   D Long Division Methods
  29.    wt: 6:   C Three Decimal Subtraction Methods
  30.    wt: 6:   B Decimal Comparison and Subtraction
  31.    wt: 6:   A Decimal Addition Columm Methods
  32.    wt: 6:   8 Column Multiplication Methods in General
  33.    wt: 6:   7 Decimals Multiplication Methods Examples
  34.    wt: 6:   2 Combing Counts Addition Skills and Principles
  35.    wt: 6:   1 The Counting Origins of Numbers
  36.    wt: 6:   2 More and Less Than for Counts and Measures
  37.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  38.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  39.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  40.    wt: 6:   9 Improper Fractions and Mixed Numbers
  41.    wt: 6:   6 Multiplication Algebraically Take II
  42.    wt: 6:   A Related Material in Volume 3
  43.    wt: 6:   4 Definite Integrals Evaluation Exercises
  44.    wt: 6:   3 Two Chain Rule Method Exercises
  45.    wt: 6:   1 Chain Rule in Reverse Integration Method
  46.    wt: 6:   36 Cube root derivative animated
  47.    wt: 6:   34 Derivative of exponential function
  48.    wt: 6:   31 Derivatives of inverse functions
  49.    wt: 6:   30Chain Rule A Proof
  50.    wt: 6:   28 Chain Rule Preparation for a Proof
  51.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  52.    wt: 6:   26 Chain Rule Recognising outer inner functions
  53.    wt: 6:   25 Chain Rule Animated Examples Continued
  54.    wt: 6:   15 sine and cosine derivatives 3rd step
  55.    wt: 6:   14 sine and cosine derivatives 2nd step
  56.    wt: 6:   6 Power rule from product rule
  57.    wt: 6:   11 Limits at infinity Three Examples
  58.    wt: 6:   10 Three one sided limits with infinite values
  59.    wt: 6:   8 Four Animated Examples
  60.    wt: 6:   4 Numerical properties
  61.    wt: 6:   3 Decimal insights for limits continuity convergence
  62.    wt: 6:   2 Algebraic codification
  63.    wt: 6:   1 Numerical introduction
  64.    wt: 6:   Chapter 6. Slopes and Vertical Shifts
  65.    wt: 6:   Chapter 16 Origins and Limitations of Rules and Patterns
  66.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  67.    wt: 5:   27 Logarithmic use of products of sines and cosines
  68.    wt: 5:   6 Trigonometry Sines of Supplementary Angles
  69.    wt: 5:   6 Polar Multiplication and Rotation
  70.    wt: 5:   16 Angles Subtended By Chords and Diameters
  71.    wt: 5:   5 Distributive Law for Whole Numbers
  72.    wt: 5:   4 Commutative Law Groups Counting Form
  73.    wt: 5:   3 Multiplicative Counting Skills Principles
  74.    wt: 5:   6 Equations and Systems Equivalent or Implied
  75.    wt: 5:   4 Comparison of Negative Numbers
  76.    wt: 5:   3 More and Less Than with Unlike Signs
  77.    wt: 5:   6 Three Examples
  78.    wt: 5:   11 Volume of Sphere
  79.    wt: 5:   1 More and Less Than for Counts and Measures
  80.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  81.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  82.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  83.    wt: 5:   6 Simplification of Fractions with Units
  84.    wt: 5:   B Fractions and Two Term Ratios
  85.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  86.    wt: 5:   21 Reciprocals for Fractions and Wholes
  87.    wt: 5:   17 Efficient Ways to Add and Subtract
  88.    wt: 5:   16 Addition Subtraction Comparision Compared
  89.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  90.    wt: 5:   14 Adding and Subtracting with Like Denominators
  91.    wt: 5:   8 Numerals Fractionals Quantals Take II
  92.    wt: 5:   7 Numerals Fractionals Quantals
  93.    wt: 5:   3 Unit fraction of a fraction
  94.    wt: 5:   Fraction Operations by Raising Terms A Simple Innovation
  95.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  96.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  97.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  98.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  99.    wt: 5:   5 Area Under Curve Exercise
  100.    wt: 5:   2 Indefinite Integrals Exercises
  101.    wt: 5:   4 Second derivative test exercise example
  102.    wt: 5:   3 Second derivative test
  103.    wt: 5:   2 Second derivative test prequel
  104.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  105.    wt: 5:   A Chain Rule Real Player video examples
  106.    wt: 5:   33 Chain Rule Real Player video examples
  107.    wt: 5:   29 Chain Rule Optional Reading
  108.    wt: 5:   24 Chain Rule Animated Examples
  109.    wt: 5:   23 Chain Rule in general
  110.    wt: 5:   22 Chain Rule for polynomials
  111.    wt: 5:   21 Chain Rule for powers
  112.    wt: 5:   20 Chain Rule for Pulley Systems
  113.    wt: 5:   19 Chain Rule for linear functions
  114.    wt: 5:   18 Chain Rule Introduction
  115.    wt: 5:   12 Quotient rule examples
  116.    wt: 5:   11 Quotient rule
  117.    wt: 5:   10 Power rule for negative integers
  118.    wt: 5:   9 Reciprocal rule
  119.    wt: 5:   7 Animated Differentiation Examples
  120.    wt: 5:   5 Product Rule
  121.    wt: 5:   4 Sum Rule
  122.    wt: 5:   3 Motivation for Limit Definition Take 2
  123.    wt: 5:   2 Motivation for Limit Definition Take 1
  124.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  125.    wt: 5:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  126.    wt: 5:   Chapter 16. Velocity Approximation
  127.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  128.    wt: 4:   Parallel Lines and Parallel Transversals
  129.    wt: 4:   26 Formulas for products of sines and cosines
  130.    wt: 4:   9 Graphs of sine and cosine over one period
  131.    wt: 4:   16 References and Originality Question
  132.    wt: 4:   6 Field Properties of Complex Number
  133.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  134.    wt: 4:   3 Trigonometric Ratios sine and cosine
  135.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  136.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  137.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  138.    wt: 4:   10 Midpoint of [a b] and [b a]
  139.    wt: 4:   1 Numerical view of lines and their equations
  140.    wt: 4:   6 Ruler and compass Angle Bisection
  141.    wt: 4:   21 Addition of Multiples of a Single Vector
  142.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  143.    wt: 4:   8 Division and Mulplication of Compound Fractions
  144.    wt: 4:   5 Areas of Rectangles Revisited
  145.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  146.    wt: 4:   4 Rates Ratios and Proporitionality
  147.    wt: 4:   6 Compound Interest Forward and Backwards
  148.    wt: 4:   4 Subtraction and Division Axioms
  149.    wt: 4:   2 Addition and Multiplication Axioms
  150.    wt: 4:   5 Greater More Less Than Signs in General
  151.    wt: 4:   1 Real Numbers Comparison
  152.    wt: 4:   3 Geometric Formulas and Function Notation
  153.    wt: 4:   1 Formulas Dependence and Function Notation
  154.    wt: 4:   6 Algebraic Solution Example
  155.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  156.    wt: 4:   10 Volume of Pyramid
  157.    wt: 4:   9 Volume of Cone
  158.    wt: 4:   6 Three Notions of What is a Variable
  159.    wt: 4:   4 A Brief Story of numbers and algebra
  160.    wt: 4:   3 Comparison of Negative Numbers
  161.    wt: 4:   2 More and Less Than with Unlike Signs
  162.    wt: 4:   3 Properties of Square Roots with example
  163.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  164.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  165.    wt: 4:   5 Common Divisors 60 45 via Prime
  166.    wt: 4:   4 LCM of 8 and 10 via Prime
  167.    wt: 4:   2 Least Common Multiple LCM intro via list method
  168.    wt: 4:   2 Counting with Tables and Trees I
  169.    wt: 4:   1 Counting and Counting Methods I
  170.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  171.    wt: 4:   3 Multiplying Units and Numbers
  172.    wt: 4:   2 Equality and Units
  173.    wt: 4:   1 Addition and Subtraction with Units
  174.    wt: 4:   D Three Term Ratios
  175.    wt: 4:   22 Complex Compound Fractions
  176.    wt: 4:   21 Working With Signs
  177.    wt: 4:   20 Dividing Fractions the Why
  178.    wt: 4:   19 Dividing Fractions How TO
  179.    wt: 4:   18 Efficient Ways to Multiply
  180.    wt: 4:   13 Fraction Comparison Algebraic View
  181.    wt: 4:   12 Fraction Comparison
  182.    wt: 4:   11 Simplification an Algebraic View
  183.    wt: 4:   5 Equivalent Fractions
  184.    wt: 4:   4 Fraction Multiplication
  185.    wt: 4:   2 Unit Fraction Multiplication
  186.    wt: 4:   1 What is a fraction Take II
  187.    wt: 4:   1 What is a fraction
  188.    wt: 4:   6 Multiplication by Natural Numbers
  189.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  190.    wt: 4:   26 Divisibility by 2 3 5 Example
  191.    wt: 4:   16 video Factors of 980 using prime
  192.    wt: 4:   10 Division by Five Long and Short Ways
  193.    wt: 4:   6 Multiplication Commutes Order Not Important
  194.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  195.    wt: 4:   8 Subtraction with Units of Measure
  196.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  197.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  198.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  199.    wt: 4:   8 What skills and work habits to require
  200.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  201.    wt: 4:   Quick history of numbers and algebra
  202.    wt: 4:   G.1 First Fundamental Theorem of Calculus
  203.    wt: 4:   D2 Limits of Monotone Sequences
  204.    wt: 4:   D1 Sets and Sequences GLBs and LGBs
  205.    wt: 4:   Postscript Pythagorean Theorem yet another proof
  206.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  207.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  208.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  209.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  210.    wt: 4:   Chapter 12. Units and Slopes
  211.    wt: 4:   Chapter 10 Slopes and Units
  212.    wt: 4:   Chapter 9 About First Courses in Calculus
  213.    wt: 4:   Chapter 7 Slopes and Velocity
  214.    wt: 4:   Chapter 2. Slopes and Ski Trails
  215.    wt: 4:   Fall 1983 Calculus Appetizer
  216.    wt: 4:   Chapter 6 Change of Language
  217.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  218.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  219.    wt: 4:   Chapter 6 Chains of Reason
  220.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  221.    wt: 3:   1 Energy Power Heat06
  222.    wt: 3:   E Kirchoffs Second Law
  223.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  224.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  225.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  226.    wt: 3:   16 Secondary Mathematics Tips
  227.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  228.    wt: 3:   Ages 6 to 7
  229.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  230.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  231.    wt: 3:   26 Function definitions done and coming
  232.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  233.    wt: 3:   6 Set Existence Formation and Notation
  234.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  235.    wt: 3:   16 cotangent function Definition Graph and Inverse
  236.    wt: 3:   6 Graph of arccos function
  237.    wt: 3:   9 Summary Degrees to Radians and back
  238.    wt: 3:   8 Radian Measures of Common Angles
  239.    wt: 3:   6 Radian Measure to Degrees
  240.    wt: 3:   5 Degrees to Radian Measure
  241.    wt: 3:   2 Radian Measure Numerical Value of one degree
  242.    wt: 3:   1 Degrees and Radians Introduction
  243.    wt: 3:   4 Resultant of a Sum of Movements
  244.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  245.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  246.    wt: 3:   Parallel Lines and Interior Angles
  247.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  248.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  249.    wt: 3:   Straight Lines Intersection of
  250.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  251.    wt: 3:   4 Tangent Function Properties
  252.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  253.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  254.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  255.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  256.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  257.    wt: 3:   14 cosine even and sine and tangent are odd
  258.    wt: 3:   10 Graphs of sines and cosines many periods
  259.    wt: 3:   7 period of sine and cosine
  260.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  261.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  262.    wt: 3:   5 An Easy Proof of the Distributive Law
  263.    wt: 3:   8 Triangles Cascade Problem Solving
  264.    wt: 3:   7 Trignometric Ratios Unit Circle
  265.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  266.    wt: 3:   1 Angle Measurement with Degrees
  267.    wt: 3:   Why Trigonometry the whyslopes view
  268.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  269.    wt: 3:   8 Similarity of Triangles and Polygons
  270.    wt: 3:   6 Geometric Diagrams in Class
  271.    wt: 3:   12 Links Lessons elsewhere
  272.    wt: 3:   7 Exercises to test skill and concept mastery
  273.    wt: 3:   5 Algebraic View of Slopes
  274.    wt: 3:   What is and is not here
  275.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  276.    wt: 3:   5 Cartesian Addition and Translation
  277.    wt: 3:   4 Polar Coordinates to and from
  278.    wt: 3:   3 Lengths and Areas on Maps and Plans
  279.    wt: 3:   A Modular and Remainder Arithmetic
  280.    wt: 3:   26 More Less Greater Than Comparison
  281.    wt: 3:   22 Multiplication of Signed Numbers
  282.    wt: 3:   19 Signed Multiples of Vectors
  283.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  284.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  285.    wt: 3:   13 Arrows and Vectors in a Plane
  286.    wt: 3:   11 Signed Number Addition and Addition Properties
  287.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  288.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  289.    wt: 3:   4 Location of Point in Decimal Addition
  290.    wt: 3:   3 Location of Point in Decimal Multiplication
  291.    wt: 3:   4 Fraction Operations Axiomatic Development
  292.    wt: 3:   3 Inequalities Algebraically
  293.    wt: 3:   2 Fraction Operations Physical Development
  294.    wt: 3:   5 Proportionality in Equivalent Fractions
  295.    wt: 3:   3 Proportionality Examples
  296.    wt: 3:   2 Algebraic View
  297.    wt: 3:   1 What is Proportionality
  298.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  299.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  300.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  301.    wt: 3:   5 Equality in Algebra
  302.    wt: 3:   3 Product Axioms Two Forms
  303.    wt: 3:   1 Equivalent Computation Rules
  304.    wt: 3:   16 Real Numbers Comparison
  305.    wt: 3:   10 Real Number Lengths and Signs
  306.    wt: 3:   8 Coordinates for Maps and Planes
  307.    wt: 3:   6 Unsigned Real Numbers
  308.    wt: 3:   1 Whole and Natural Numbers
  309.    wt: 3:   5 Independent versus Dependent Variables
  310.    wt: 3:   4 Changing Letters
  311.    wt: 3:   2 Computation Rules Evaluation
  312.    wt: 3:   3 GE III Equation Addition and Multiplication
  313.    wt: 3:   Skill Development Notes
  314.    wt: 3:   10 One Example
  315.    wt: 3:   9 Three Examples
  316.    wt: 3:   8 One Example
  317.    wt: 3:   7 Two Examples
  318.    wt: 3:   5 Three Examples
  319.    wt: 3:   4 Two Examples
  320.    wt: 3:   3 Two Examples
  321.    wt: 3:   2 Three Examples
  322.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  323.    wt: 3:   5 Box Volume Formula Example
  324.    wt: 3:   1 Written work formats for developing and showing skill
  325.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  326.    wt: 3:   9 Sets in Probability and Statistics
  327.    wt: 3:   8 Sets of Numbers
  328.    wt: 3:   6 Power Set Notation
  329.    wt: 3:   5 Talking about Numbers and Quantities
  330.    wt: 3:   4 Greater More Less Than Signs in General
  331.    wt: 3:   1 Squares and Square Roots Introduction
  332.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  333.    wt: 3:   7 GCD and LCM from prime factorization
  334.    wt: 3:   6 GCD from Prime
  335.    wt: 3:   12 GCD 2700 288 via Prime
  336.    wt: 3:   3 Counting with Tables and Trees II
  337.    wt: 3:   6 adding signed numbers
  338.    wt: 3:   5 lengths and signs of numbers
  339.    wt: 3:   7 Converting or Changing Units
  340.    wt: 3:   4 Fractions with Units
  341.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  342.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  343.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  344.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  345.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  346.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  347.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  348.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  349.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  350.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  351.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  352.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  353.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  354.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  355.    wt: 3:   2 Prime and Composites less than 16
  356.    wt: 3:   Division with Counts and Length
  357.    wt: 3:   Long Division forwards and backwards Example 3
  358.    wt: 3:   Long Division forwards and backwards Example 2
  359.    wt: 3:   Long Division forwards and backwards Example 1
  360.    wt: 3:   D Decimal Multiplication Methods Derived
  361.    wt: 3:   C Counting Areas with Powers of Ten
  362.    wt: 3:   B Powers of Ten
  363.    wt: 3:   A Elementary Basis for Multiplication Methods
  364.    wt: 3:   4 Two and Three Digit Multipliers
  365.    wt: 3:   Subtraction with J Conversions Example
  366.    wt: 3:   Subtraction Another Video Lesson
  367.    wt: 3:   9 22 Minute Subtraction Review Video
  368.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  369.    wt: 3:   5 A Tip for Efficent Subtraction
  370.    wt: 3:   2 Subtraction Easy Case Examples
  371.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  372.    wt: 3:   7 Adding decimal fractions using decimal point
  373.    wt: 3:   5. How to add decimals C. Examples
  374.    wt: 3:   4. How to add with decimals B with conversions
  375.    wt: 3:   3. How to add with decimals A sans conversions
  376.    wt: 3:   2 Decimal Counting Practices
  377.    wt: 3:   1. Explaining Addition Table
  378.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  379.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  380.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  381.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  382.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  383.    wt: 3:   G.6 Bounded Derivatives implies Lipshitz Continuity
  384.    wt: 3:   G.3 Constant Difference Theorem Proof
  385.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  386.    wt: 3:   E2 Algebraic Properties of Limits
  387.    wt: 3:   PostScript For and Against Decimal Perspectives
  388.    wt: 3:   Chapter 23 Links To Trigonometry
  389.    wt: 3:   Chapter 22 Complex Numbers
  390.    wt: 3:   Chapter 21 Arrow Addition
  391.    wt: 3:   Chapter 18. Slopes Areas Integration
  392.    wt: 3:   Chapter 17. Area Approximation
  393.    wt: 3:   Chapter 15. Slope Approximation
  394.    wt: 3:   Chapter 13. Acceleration
  395.    wt: 3:   Chapter 11. Graphing Slope versus Position
  396.    wt: 3:   Chapter 8. Slope Interpretation
  397.    wt: 3:   Chapter 5. Slope Sign Tests
  398.    wt: 3:   Chapter 4. More Slope Sign Analysis
  399.    wt: 3:   Chapter 3. Slope Sign Analysis
  400.    wt: 3:   Chapter 1.Introduction
  401.    wt: 3:   Foreword
  402.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  403.    wt: 3:   Chapter 16. Painless Theorem Proving
  404.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  405.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  406.    wt: 3:   Postscript B More on Story Telling and Reason
  407.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  408.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  409.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  410.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  411.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  412.    wt: 3:   Chapter 6 More Algebra and Geometry
  413.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  414.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  415.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  416.    wt: 2:   6 polynomials etc
  417.    wt: 2:   Motivation and Context Problem
  418.    wt: 2:   chapitre 06 00 Chaines de la raison
  419.    wt: 2:   chapitre 04 06 engagements
  420.    wt: 2:   D Wire Resistance Calculation02
  421.    wt: 2:   D Kirchoff First Law
  422.    wt: 2:   Home Tutoring and Home Schooling
  423.    wt: 2:   24 Standards For Skill Develoment Take II
  424.    wt: 2:   24 Standards For Skill Develoment
  425.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  426.    wt: 2:   17 Math Booklets for children and young teenagers
  427.    wt: 2:   14 Multiplication and Times Tables
  428.    wt: 2:   13 Addition and Addition Tables
  429.    wt: 2:   12 Goals and Objectives For Mathematics
  430.    wt: 2:   11 Help and Defend Your Child or Teens Education
  431.    wt: 2:   9 Streaming by Student Cooperation
  432.    wt: 2:   8 The Effect of Negative Remarks
  433.    wt: 2:   5 Patience Please for Yourself and Your Charges
  434.    wt: 2:   4 Learning Takes Time and Effort
  435.    wt: 2:   2 Reading and Writing Skills
  436.    wt: 2:   Ages 12 to 14 Skills with take home value
  437.    wt: 2:   Ages 12 to 14 Geometry
  438.    wt: 2:   Ages 12 to 14 Arithmetic
  439.    wt: 2:   Ages 10 to 12 Geometry
  440.    wt: 2:   Ages 10 to 12 Arithmetic
  441.    wt: 2:   Ages 9 to 10
  442.    wt: 2:   Ages 8 to 9
  443.    wt: 2:   Ages 7 to 8
  444.    wt: 2:   Ages 4 plus to 5 plus
  445.    wt: 2:   Ages 3 plus to 4 plus
  446.    wt: 2:   19 Horizontal line rule and method
  447.    wt: 2:   18 Vertical Line Rule and Method
  448.    wt: 2:   16 Increasing or decreasing on intervals
  449.    wt: 2:   8 Set view of relations and functions
  450.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  451.    wt: 2:   15 cosecant function Definition Graph and Inverse
  452.    wt: 2:   14 secant function Definition Graph and Inverse
  453.    wt: 2:   13 cosecant function Definition Graph and Inverse
  454.    wt: 2:   11 arctan left inverse of tangent Graph
  455.    wt: 2:   10 arctan left inverse of tangent Definition
  456.    wt: 2:   8 arcsin left inverse of sine Graph
  457.    wt: 2:   7 arcsin left inverse of sine Definition
  458.    wt: 2:   3 Left Inverse of cosine arccos definition
  459.    wt: 2:   7 Radian Measures in special Triangles
  460.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  461.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  462.    wt: 2:   A Global Time and Navigation
  463.    wt: 2:   15 Dot and Cross Product
  464.    wt: 2:   11 Component Method
  465.    wt: 2:   10 Parallelogram Addition Method
  466.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  467.    wt: 2:   6 Vectors with Coordinates
  468.    wt: 2:   Vector and Complex Number Applet
  469.    wt: 2:   4 graphing y=Asin(x c)
  470.    wt: 2:   3 graphing y=f(x c) plus K
  471.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  472.    wt: 2:   1 graphing y=f(x a)
  473.    wt: 2:   Triangle Angles Sum To 180 Degrees
  474.    wt: 2:   Straight Lines ASA Intersection Study More
  475.    wt: 2:   Straight Lines ASA Intersection Study
  476.    wt: 2:   Straight Lines Instersection Solving Equations
  477.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  478.    wt: 2:   C Straight Lines Slope from Coordinates
  479.    wt: 2:   B Straight Line Slope Scaling Properties More
  480.    wt: 2:   A Straight Line Slope Scaling Properties
  481.    wt: 2:   14 Straight Lines Equations General Case
  482.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  483.    wt: 2:   12 Straight Lines Graphing mx plus b
  484.    wt: 2:   11 Straight Lines Graphing y=mx
  485.    wt: 2:   10 Straight Lines through Origin Equations More
  486.    wt: 2:   9 Straight Lines through Origin Equations
  487.    wt: 2:   8 Straight Lines Equation for vertical
  488.    wt: 2:   7 Tangent Function is odd on this domain
  489.    wt: 2:   5 Tangent Function Graph
  490.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  491.    wt: 2:   1 Straight Lines Slope Concept
  492.    wt: 2:   17 tangent function angle sum formulas
  493.    wt: 2:   32 seven rows of pascals triangle
  494.    wt: 2:   30 unit circle calculation of six trigonometric functions
  495.    wt: 2:   29 secant cosecant and cotangent for acute angles
  496.    wt: 2:   28 Expressing products of sines cosines as sums
  497.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  498.    wt: 2:   21 sine and cosine Half Angle Formulas
  499.    wt: 2:   20 sine and cosine Double Angle Formulas
  500.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  501.    wt: 2:   18 sum of sinusoidal waves as a single wave
  502.    wt: 2:   17F Law of cosines
  503.    wt: 2:   17E Trig Formulas for dot and cross Products
  504.    wt: 2:   17D cis formulas for sine cosines and tangent
  505.    wt: 2:   17C sine and cosine double triple angle formulas
  506.    wt: 2:   16 Right Triangle Complementary Angle Relations
  507.    wt: 2:   13 Graph of tangent function many periods
  508.    wt: 2:   12 Graph of tangent function for one period
  509.    wt: 2:   8 period of tangent function
  510.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  511.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  512.    wt: 2:   Unit Circle Development of Trigonometry
  513.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  514.    wt: 2:   21 Logarithms Powers and Exponentials
  515.    wt: 2:   20 N th Roots of Complex Numbers
  516.    wt: 2:   19 N th Roots of Unity
  517.    wt: 2:   18 Sixth Roots of Unity
  518.    wt: 2:   17 Cube Roots of unity
  519.    wt: 2:   14 Law of cosines
  520.    wt: 2:   13 Trig Formulas for dot and cross Products
  521.    wt: 2:   12 cis formulas for sine cosines and tangent
  522.    wt: 2:   11 sine and cosine double triple angle formulas
  523.    wt: 2:   8 Unit Circle Development of Trigonometry
  524.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  525.    wt: 2:   9 Similarity of Triangles Usual Criteria
  526.    wt: 2:   3 Similarity by Design with coordinates
  527.    wt: 2:   2 Similarity By Design
  528.    wt: 2:   1 Early Concept of Like or Similar Shapes
  529.    wt: 2:   Four Simple Exercises
  530.    wt: 2:   11 A Partial Summary
  531.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  532.    wt: 2:   8 Mid Point Formula
  533.    wt: 2:   4 Equations for lines three forms
  534.    wt: 2:   3 Slope product for perpendicular lines
  535.    wt: 2:   2 point slope equation for a line
  536.    wt: 2:   13 Pythagorean spatial distance formulas
  537.    wt: 2:   12 Spatial Coordinates
  538.    wt: 2:   11 Triangle Inequality
  539.    wt: 2:   10 Pythagorean plane distance formula
  540.    wt: 2:   8 Distance Between Points on a Line
  541.    wt: 2:   7 Complex Numbers Appetizer
  542.    wt: 2:   3 Rectangular Coordinates Review
  543.    wt: 2:   2 Cartesian Coordinates with signs
  544.    wt: 2:   1 Cartesian Coordinates sans signs
  545.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  546.    wt: 2:   PS B Parallelogram Construction Methods
  547.    wt: 2:   PS A Kite Construction Methods
  548.    wt: 2:   17 Right Bisectors of Triangle Sides
  549.    wt: 2:   9 Construction of a right bisector
  550.    wt: 2:   3 Isometry of Triangles Congruence
  551.    wt: 2:   1 Initial Concepts and Terms
  552.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  553.    wt: 2:   6 Figuring with Maps Not to Scale
  554.    wt: 2:   musings do not puiblish real numbers
  555.    wt: 2:   A Signed Number Arithmetic Review
  556.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  557.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  558.    wt: 2:   23 Distributive Law Two Derivations
  559.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  560.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  561.    wt: 2:   15 Head to Tails in place Addition Associative
  562.    wt: 2:   12 Real Numbers Line Signed Coordinates
  563.    wt: 2:   9 Division with Digits after Decimal Point
  564.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  565.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  566.    wt: 2:   2 Counting Digits in Decimal Multiplication
  567.    wt: 2:   1 Fractions with Finite Decimal Expansions
  568.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  569.    wt: 2:   5 Triangle Area Formula Backwards
  570.    wt: 2:   3 Linear Equation Literal Solution More
  571.    wt: 2:   2 Linear Equation Literal Solution
  572.    wt: 2:   1 Changing Calculations
  573.    wt: 2:   15 Real Number Division
  574.    wt: 2:   14 Real Number Multiplication
  575.    wt: 2:   13 Real Number Subtraction
  576.    wt: 2:   12 Real Number Additive Inverses or Negatives
  577.    wt: 2:   11 Real Number Addition
  578.    wt: 2:   9 Coordinates for Regions in Space
  579.    wt: 2:   7 Real Numbers as Line Cordinates
  580.    wt: 2:   5 Rational Numbers More
  581.    wt: 2:   4 Rational Numbers
  582.    wt: 2:   3 Fractions
  583.    wt: 2:   2 Integers
  584.    wt: 2:   More Exercises
  585.    wt: 2:   Simple Exercises
  586.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  587.    wt: 2:   4 GE III Animated Examples
  588.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  589.    wt: 2:   2 GE II Comparison
  590.    wt: 2:   1 GE Substitution four examples
  591.    wt: 2:   4 Solving a triangular system exercise
  592.    wt: 2:   3 Solving triangular system example
  593.    wt: 2:   2 Essentially one exercises three with solution
  594.    wt: 2:   1 Essentially One Unknown
  595.    wt: 2:   5 Algebraic Solutions Introduction
  596.    wt: 2:   4 Four Examples Fractional Coefficients
  597.    wt: 2:   3 Four Examples
  598.    wt: 2:   2 Three Examples
  599.    wt: 2:   1 Proper Equal Sign Usage
  600.    wt: 2:   Using Letters for Physical Quantities
  601.    wt: 2:   Formula Usage Show Work Format
  602.    wt: 2:   13 Naming Identifying Formulas with Words
  603.    wt: 2:   8 Compound Interest Formula Evaluation
  604.    wt: 2:   7 Compound Interest Formula Introduction
  605.    wt: 2:   4 Circle Area Formula Example
  606.    wt: 2:   3 Triangle Area Formula Example
  607.    wt: 2:   2 Another Rectangle Area Formula Example
  608.    wt: 2:   7 Cautious or Safe Set Construction
  609.    wt: 2:   5 Product Builder Notation
  610.    wt: 2:   4 Subset Builder Notation
  611.    wt: 2:   3 Counting with Sets etc
  612.    wt: 2:   2 Venn Diagrams
  613.    wt: 2:   1 Finite Sets
  614.    wt: 2:   3 Adding Words To Arithmetic
  615.    wt: 2:   2 What is a Variable
  616.    wt: 2:   1 Three Skills For Algebra
  617.    wt: 2:   About Folder Contents
  618.    wt: 2:   5 Square Roots with primes more still
  619.    wt: 2:   4 Square Roots with primes more
  620.    wt: 2:   2 Square Roots with Prime
  621.    wt: 2:   13 GCD from given Prime Factorization
  622.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  623.    wt: 2:   8 GCD from Euclidean Algorithm
  624.    wt: 2:   1 Least Common Multiples LCM Introduction
  625.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  626.    wt: 2:   4 Counting with Trees Product Rule Take I
  627.    wt: 2:   11 What are real lengths and numbers
  628.    wt: 2:   7 negative and additive inverse
  629.    wt: 2:   3 signed coordinates for maps and planes
  630.    wt: 2:   2 signed and unsigned numbers as coordinates
  631.    wt: 2:   11 Adding Integers Formulas and Examples
  632.    wt: 2:   8 Multiplication by Signed Numbers Integers
  633.    wt: 2:   7 Multiplication by Signs
  634.    wt: 2:   5 Zero Movement and Additive Inverses
  635.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  636.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  637.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  638.    wt: 2:   23 Remainder Arithmetic Modulo 2
  639.    wt: 2:   21 Remainder Arithmetic Modulo 3
  640.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  641.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  642.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  643.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  644.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  645.    wt: 2:   5 Remainder Arithmetic Modulo 5
  646.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  647.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  648.    wt: 2:   1 Remainder Arithmetic Modulo 10
  649.    wt: 2:   20 Uniqueness of Prime Factorization
  650.    wt: 2:   17 Identify and Count Factors using Primes
  651.    wt: 2:   15 video Factors of 20 using Prime Factorization
  652.    wt: 2:   14 video Factors of 24 Take II
  653.    wt: 2:   13 video Factors of 24 using prime
  654.    wt: 2:   12 LCD GCD and LCM using Primes
  655.    wt: 2:   7 Calculator Usage Notes and Cautions
  656.    wt: 2:   5 Prime Factorization and a Square Rule
  657.    wt: 2:   3 video Primes and Composites from 9 times table
  658.    wt: 2:   Long Division Backwards more
  659.    wt: 2:   Long Division Backward
  660.    wt: 2:   12 Why Long Division Works Take III
  661.    wt: 2:   11 Another Single Digit Divisor Example
  662.    wt: 2:   9 Why Long Division Works Take II
  663.    wt: 2:   8 Correcting the Mistake
  664.    wt: 2:   7 Long Divison Mistake Catching
  665.    wt: 2:   5 Long Division Include Zeroes or not
  666.    wt: 2:   4 Division with 2 Digit Divsors
  667.    wt: 2:   3 Division Single Digit Divisor Example
  668.    wt: 2:   2 Division with Single Digit Divisors
  669.    wt: 2:   1 Divsion Physical Examples
  670.    wt: 2:   5 Decimal Fraction Multiplication
  671.    wt: 2:   3 More One Digit Multipliers
  672.    wt: 2:   2 One Digit Multipliers
  673.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  674.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  675.    wt: 2:   Video Power Notation in Decimal Expansion
  676.    wt: 2:   1 Why 3 times 5 gives 15
  677.    wt: 2:   11 Place Value SI Standard International way
  678.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  679.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  680.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  681.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  682.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  683.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  684.    wt: 2:   Exact Arithmetic Wholes and Fractions
  685.    wt: 2:   012 Division of Time Intervals by Time Intervals
  686.    wt: 2:   011 Division of Time Intervals By Numbers
  687.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  688.    wt: 2:   4 Mixing and Changing Units of Time
  689.    wt: 2:   3 Units and Lengths of Time
  690.    wt: 2:   G.5 Motions With Bounded Velocities
  691.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  692.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  693.    wt: 2:   F.5b Extreme Value Theorem
  694.    wt: 2:   F.5a Equicontinuity Theorems
  695.    wt: 2:   F.4 Finite Covering Theorem
  696.    wt: 2:   F.3 Intermediate Value Theorem
  697.    wt: 2:   F.2 Closed Range Theorem
  698.    wt: 2:   F.1 What Functions are Continuous
  699.    wt: 2:   E1 Error Control Inequalities
  700.    wt: 2:   C Triangle Inequalities
  701.    wt: 2:   B3 Bolzano Weierstrass Theorem
  702.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  703.    wt: 2:   A1. Introduction
  704.    wt: 2:   Appendix E. How To Study Mathematics and Why
  705.    wt: 2:   Appendix D. What to do in School and Why
  706.    wt: 2:   Chapter 31 Direct and Indirect Reason
  707.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  708.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  709.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  710.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  711.    wt: 2:   Chapter 20. Degrees and Radians
  712.    wt: 2:   Chapter 19. Functions and Sets
  713.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  714.    wt: 2:   Chapter 12. Shorthand Usage Guide
  715.    wt: 2:   Chapter 11. Why Shorthand
  716.    wt: 2:   Chapter 10 Describing and Changing Calculations
  717.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  718.    wt: 2:   Chapter 4 Longer Chains of Reason
  719.    wt: 2:   Chapter 3 Chains of Reason
  720.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  721.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  722.    wt: 2:   Chapter 7 Two Treatments of Geometry
  723.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  724.    wt: 2:   Chapter 2 For and Against Mathematics
  725.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  726.    wt: 2:   Chapter 24 Direct and Indirect Reason
  727.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  728.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  729.    wt: 2:   Chapter 18 Sense and Knowledge
  730.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  731.    wt: 2:   Chapter 8 Change of Language
  732.    wt: 2:   Chapter 7 Longer Chains of Reason
  733.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  734.    wt: 2:   O On Learning Mathematics and Science
  735.    wt: 2:   N Improving Marks on Tests and Finals
  736.    wt: 2:   J. More on written work and showing skill
  737.    wt: 2:   I. Logic and language skills
  738.    wt: 2:   H Jigsaw puzzles and problem solving
  739.    wt: 2:   G. Written work formats for developing and showing skill
  740.    wt: 2:   F. The student teacher tutor feedback loop
  741.    wt: 2:   E. When and how to correct errors
  742.    wt: 2:   C. Domino effect of being careful
  743.    wt: 2:   B. Domino effect of errors
  744.    wt: 2:   How to Build Skills and Confidence
  745.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  746.    wt: 2:   Chapter 3 Algebra Starter Lessons
  747.    wt: 2:   7 Games and Activities for Instruction
  748.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  749.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  750.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  751.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  752.    wt: 2:   More Algebra and Slope based Calculus Preview
  753.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  754.    wt: 1:   Appendix 1 primary and preschool mathematic
  755.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  756.    wt: 1:   Skills Chapter 5 Calculus
  757.    wt: 1:   Ramblings Extrinsic numbers theory
  758.    wt: 1:   7 logic review and decimals an odd combination
  759.    wt: 1:   5 logarithms and exponentials etc
  760.    wt: 1:   three goals to set for students
  761.    wt: 1:   Teach the teachers plus goals
  762.    wt: 1:   permissions for teachers
  763.    wt: 1:   Math Ed if it must be short make it lean effective
  764.    wt: 1:   Applied Maths Program14092009 POMME variant
  765.    wt: 1:   activities for students
  766.    wt: 1:   links Education Resources online
  767.    wt: 1:   key notes and themes
  768.    wt: 1:   Mathematics Education Professors
  769.    wt: 1:   what should be learnt and When
  770.    wt: 1:   teaching tips
  771.    wt: 1:   standards for course material
  772.    wt: 1:   Operational Viewpoint to Value
  773.    wt: 1:   formal or informal peer review
  774.    wt: 1:   Theory of Knowledge
  775.    wt: 1:   Education in mathematics science and technology
  776.    wt: 1:   Different Kinds of Reasoning in maths
  777.    wt: 1:   three kinds of reason in mathematics
  778.    wt: 1:   fairness and inductive principles for instruction
  779.    wt: 1:   chapitre 12 00 les iles et division
  780.    wt: 1:   chapitre 07 01 principle D induction mathematique
  781.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  782.    wt: 1:   chapitre 05 00 Deception
  783.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  784.    wt: 1:   chapitre 04 09 Regles accidentelles
  785.    wt: 1:   chapitre 04 08 Limitations et benefices
  786.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  787.    wt: 1:   chapitre 04 05 Implication versus suggestion
  788.    wt: 1:   chapitre 04 04 Parlons de la logique
  789.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  790.    wt: 1:   chapitre 04 02 Deuxieme enigme
  791.    wt: 1:   chapitre 04 01 Premiere enigme
  792.    wt: 1:   chapitre 04 00 Les regles d implication
  793.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  794.    wt: 1:   chapitre 02 00 La Communication des idees
  795.    wt: 1:   chapitre 01 00 Introduction
  796.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  797.    wt: 1:   logique deux enigme
  798.    wt: 1:   4 Energy Power Heat09
  799.    wt: 1:   3 Energy Power Heat08
  800.    wt: 1:   2 Energy Power Heat07
  801.    wt: 1:   E Energy Power05
  802.    wt: 1:   D Energy Power04
  803.    wt: 1:   C Energy Power03
  804.    wt: 1:   B Energy Power02
  805.    wt: 1:   A Energy Power01
  806.    wt: 1:   2 Conductance Resistance Duality02
  807.    wt: 1:   1 Conductance Resistance Duality01
  808.    wt: 1:   F Wire Resistance Calculation04
  809.    wt: 1:   E Wire Resistance Calculation03
  810.    wt: 1:   C Wire Resistance Calculation01
  811.    wt: 1:   B Wire Resistance Qualitative02
  812.    wt: 1:   A Wire Resistance Qualitative01
  813.    wt: 1:   3 Like resistors in parallel
  814.    wt: 1:   2 Unlike resistors in parallel01
  815.    wt: 1:   1 Like resistors in series
  816.    wt: 1:   H Series Circuit02
  817.    wt: 1:   G Series Circuit01
  818.    wt: 1:   F Unlike Resistors in Series
  819.    wt: 1:   C Electromotive force conventional current02
  820.    wt: 1:   B Electromotive force conventional current01
  821.    wt: 1:   A Circuit Elements
  822.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  823.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  824.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  825.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  826.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  827.    wt: 1:   22 Student Centered Highschool Mathematics
  828.    wt: 1:   18 Primary School Mathematics
  829.    wt: 1:   15 Counting For Parents
  830.    wt: 1:   10 Ends values for work study instruction
  831.    wt: 1:   7 Student Motivation
  832.    wt: 1:   3 Preparing for Science Studies
  833.    wt: 1:   1 Speaking Skills
  834.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  835.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  836.    wt: 1:   17 Function maxima minima and their location
  837.    wt: 1:   15 Sign analysis of functions
  838.    wt: 1:   11 Function Domain Range Source and Targets
  839.    wt: 1:   4 Function notation in and beyond mathematics
  840.    wt: 1:   2 Algebraic use of function notation
  841.    wt: 1:   1 Geometric Introduction of Function Notation
  842.    wt: 1:   9 quadratics physical and further context
  843.    wt: 1:   8 quadratics backward use of various formulas
  844.    wt: 1:   6 quadratics numerical approach
  845.    wt: 1:   4 quadratics difference of two squares
  846.    wt: 1:   3 quadratics factoring by inspection
  847.    wt: 1:   11 Growth and Decay in Biology
  848.    wt: 1:   10 Exponential Growth and Decay Models
  849.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  850.    wt: 1:   1 Calculator Starter Exercises
  851.    wt: 1:   7 Links Lessons Elsewhere
  852.    wt: 1:   2 Column Multiplication Method
  853.    wt: 1:   12 motivation for term arctan
  854.    wt: 1:   9 motivation for name arcsin
  855.    wt: 1:   5 Swapping Coordinates is a reflection
  856.    wt: 1:   4 possible motivation for term arccos
  857.    wt: 1:   2 cosine function more properties
  858.    wt: 1:   1 cosine function properties
  859.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  860.    wt: 1:   13 Velocity Vectors in Physics
  861.    wt: 1:   12 From Applied To Pure Mathematics
  862.    wt: 1:   9 Head to Tail Coordinate View
  863.    wt: 1:   8 Parallel Vectors
  864.    wt: 1:   5 Head To Tail Arrow Addition
  865.    wt: 1:   3 Navigation with Arrows or Vectors
  866.    wt: 1:   2 Signed Coordinates
  867.    wt: 1:   1 Unsigned Coordinates
  868.    wt: 1:   31 basic secant cosecant cotangent trig identities
  869.    wt: 1:   25 tangent double angle formula Slope connection
  870.    wt: 1:   24 tangent Angle Difference Formula
  871.    wt: 1:   17G Pythagorean Theorem Converse
  872.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  873.    wt: 1:   17A The complex number valued trig function cis
  874.    wt: 1:   15 sine cosine Complementary Angle Relations
  875.    wt: 1:   11 tangent function undefined when terminal side vertical
  876.    wt: 1:   2 Quadrant I reference Angles
  877.    wt: 1:   1 Unit Points Reflections Rotations
  878.    wt: 1:   15 Pythagorean Theorem Converse
  879.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  880.    wt: 1:   9 The complex number valued trig function cis
  881.    wt: 1:   7 Second Way to Calculate Products
  882.    wt: 1:   4 Multiplication Properties
  883.    wt: 1:   3 Addition Properties
  884.    wt: 1:   2 Complex Numbers made easier we hope
  885.    wt: 1:   1 Rectangular Polar Coordinates Review
  886.    wt: 1:   Appetizer A Complex Number Applet
  887.    wt: 1:   12 Triangles Similarity More Problems
  888.    wt: 1:   11 Triangle Similarity Missing Side Problem
  889.    wt: 1:   7 Translations Rotations Reflections Dilatations
  890.    wt: 1:   4 Similarity Definition with Coordinate
  891.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  892.    wt: 1:   PS H Distributive Law For Complex Numbers
  893.    wt: 1:   PS G Rotation Distributes over Addition
  894.    wt: 1:   PS E Multiplication with Polar Coordinates
  895.    wt: 1:   PS D Addition with Cartesian Coordinates
  896.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  897.    wt: 1:   21 Parallelograms
  898.    wt: 1:   19 Right Triangle Similarity
  899.    wt: 1:   18 Triangle Similarity Take 1
  900.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  901.    wt: 1:   14 Parallel Lines Postulate
  902.    wt: 1:   13 Angle Side Angle Failure
  903.    wt: 1:   12 Side Angle Side Failure
  904.    wt: 1:   11 Triangle Construction Fails
  905.    wt: 1:   10 Dropping a perpendicular to line
  906.    wt: 1:   8 Isoceles Triangles
  907.    wt: 1:   7 Angle Side Angle
  908.    wt: 1:   5 Side Angle Side
  909.    wt: 1:   4 Side Side Side
  910.    wt: 1:   2 Correspondence between Triangles
  911.    wt: 1:   Short Course on Euclidean Geometry
  912.    wt: 1:   A Measurement with Ruler Proper Use
  913.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  914.    wt: 1:   4 Angles on Maps Plans drawn to scale
  915.    wt: 1:   2 Measuring Area Directly
  916.    wt: 1:   1 Length Measurement
  917.    wt: 1:   About Folder Contents
  918.    wt: 1:   arithmetic videos Real Player Format
  919.    wt: 1:   10 dividing signed numbers
  920.    wt: 1:   9 subtracting signed numbers
  921.    wt: 1:   8 multiplying signed numbers
  922.    wt: 1:   4 signed coordinates for regions in space
  923.    wt: 1:   D Remainders Modulo 11 Pair Rule
  924.    wt: 1:   B Integer Long Division Multiple Choices
  925.    wt: 1:   A Associative Law Theorectical Note
  926.    wt: 1:   13 Subtraction with Additive Inverse
  927.    wt: 1:   12 Adding Integers More Examples
  928.    wt: 1:   10 Integer Multiplication Formulas
  929.    wt: 1:   9 Multiplying Integers
  930.    wt: 1:   4 Adding Movements wiht opposite directions
  931.    wt: 1:   3 Adding Movements with same direction
  932.    wt: 1:   1 Integers as Coordinates
  933.    wt: 1:   19 video Prime Factorization Unique
  934.    wt: 1:   18 video Count Factors given Prime Factorization
  935.    wt: 1:   11 Efficient Square Rule Use
  936.    wt: 1:   10 video Prime Factorization upto 23 squared
  937.    wt: 1:   9 video Prime Factorization upto 19 squared
  938.    wt: 1:   8 video Prime Factorization upto 19
  939.    wt: 1:   4 video Prime Factorization Introduction
  940.    wt: 1:   1 video how Products are bigger than factor
  941.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  942.    wt: 1:   Formula Evaluation how to show work
  943.    wt: 1:   Expression Evaluation how to show work
  944.    wt: 1:   The 20 Times Table
  945.    wt: 1:   The 12 Times Table Visually
  946.    wt: 1:   About folder contents
  947.    wt: 1:   016 Numbering Occidental Calendar Days
  948.    wt: 1:   015 School and work day counting tables
  949.    wt: 1:   010 Repeated Addition of Time Intervals
  950.    wt: 1:   8 Addition of Time Intervals via subtotaling
  951.    wt: 1:   7 Addition of Time Intervals
  952.    wt: 1:   6 How long is a million seconds
  953.    wt: 1:   2 Time and Date Matters in School
  954.    wt: 1:   1 Intro of Kids To Time Date Skills
  955.    wt: 1:   Postscript More on Better Performance
  956.    wt: 1:   Postscript For Better Performance
  957.    wt: 1:   Appendix C. How to Read
  958.    wt: 1:   Appendix B. How To Learn
  959.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  960.    wt: 1:   Chapter 30 Truth Tables
  961.    wt: 1:   Chapter 28 Occurrence Tables
  962.    wt: 1:   Chapter 25. Mathematical Induction Examples
  963.    wt: 1:   Chapter 23. Notation For Sums
  964.    wt: 1:   Chapter 21. Third Reading Guide
  965.    wt: 1:   Chapter 18. Rules for Algebra
  966.    wt: 1:   Chapter 15. Solving Linear Equations
  967.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  968.    wt: 1:   Chapter 13. Second Reading Guide
  969.    wt: 1:   Postscript What is a Variable
  970.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  971.    wt: 1:   Chapter 8 Three Skills For Algebra
  972.    wt: 1:   Solutions For Arithmetic Exercises
  973.    wt: 1:   Foreword
  974.    wt: 1:   Annotated Links to Material Elsehwere
  975.    wt: 1:   Postscript B Mathematics Education References
  976.    wt: 1:   Postscript A Three Remarks
  977.    wt: 1:   Chapter 12 Four Phases
  978.    wt: 1:   Chapter 11 Elementary Instruction
  979.    wt: 1:   Chapter 10 Transition
  980.    wt: 1:   Chapter 9 The Two Ends
  981.    wt: 1:   Chapter 8 Modern Instruction
  982.    wt: 1:   Chapter 5 Four References
  983.    wt: 1:   Chapter 3 Algebra Difficulties
  984.    wt: 1:   Chapter 1 Introduction
  985.    wt: 1:   Foreword
  986.    wt: 1:   Postscript C Consistency as a Tool for Reason
  987.    wt: 1:   Postscript A Story Telling
  988.    wt: 1:   Chapter 23 Truth Tables
  989.    wt: 1:   Chapter 21 Occurrence Tables
  990.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  991.    wt: 1:   Chapter 15 Objective Processes
  992.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  993.    wt: 1:   Chapter 11 Accidental Patterns
  994.    wt: 1:   Chapter 10 Responsibility
  995.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  996.    wt: 1:   Chapter 5 Deception
  997.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  998.    wt: 1:   Chapter 2 Skill Development
  999.    wt: 1:   Chapter 1 Introduction
  1000.    wt: 1:   Three Remarks
  1001.    wt: 1:   Foreword
  1002.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1003.    wt: 1:   S Adding words to algebra
  1004.    wt: 1:   R Why Learn Mathematics Skills
  1005.    wt: 1:   N Mathematics Prepare for College Studies
  1006.    wt: 1:   M Words to extend arithmetic
  1007.    wt: 1:   L Skills with take home value
  1008.    wt: 1:   H more Routine to non routine problem solving
  1009.    wt: 1:   D. Check work a must with a caution
  1010.    wt: 1:   A. Skill has to be seen to believed
  1011.    wt: 1:   Chapter 8 Skipped Topics and Why
  1012.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  1013.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  1014.    wt: 1:   Helping the Blind in Logic and Mathematics
  1015.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  1016.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1017.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1018.    wt: 1:   Implementation Notes
  1019.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1020.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  1021.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1022.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  1023.    wt: 1:   The Math Forum and Site Content
  1024.    wt: 11:   Volume of Solid by Cross Sections Lesson
  1025.    wt: 10:   Example 2 volume of a cone
  1026.    wt: 10:   Example 1 volume of a pyramid

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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