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  1.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   5 Lessons on Integration/
  3.    wt: 6:   4 Lessons on Using Derivatives/
  4.    wt: 6:   38 Lessons on Calculating Derivatives/
  5.    wt: 6:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   6 Trigonometry first steps/
  7.    wt: 4:   A Origins of Counting and Figuring Methods/
  8.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  9.    wt: 4:   Step 4 Gaussian Elimination/
  10.    wt: 4:   Step 3 Easy systems in 2 or more unknowns/
  11.    wt: 4:   Step 2 Algebraic solutions for one unknown/
  12.    wt: 4:   Step 1 Stick diagram and fractions/
  13.    wt: 4:   70 Calculus Starter Lessons/
  14.    wt: 3:   Volume 1A Regles et modeles/
  15.    wt: 3:   Mathematics Skills Year by Year/
  16.    wt: 3:   11 Parallel Straight Lines and Transversals/
  17.    wt: 3:   B Real Numbers Extrinsic Development/
  18.    wt: 3:   10 Examples of Algebraic Reasoning/
  19.    wt: 3:   9 Proportionality Backwards and Forwards/
  20.    wt: 3:   8 Unifying Theme For Algebra/
  21.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  22.    wt: 3:   5 Real Numbers/
  23.    wt: 3:   4 Computation Rules and Function Notation/
  24.    wt: 3:   3 Solving Linear Equations/
  25.    wt: 3:   2 Formula Forward Use Evaluation/
  26.    wt: 3:   1 Working With Sets/
  27.    wt: 3:   6 Fractions and Ratios/
  28.    wt: 3:   Time Date Matters/
  29.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  30.    wt: 3:   Mathematics 506 Lessons/
  31.    wt: 2:   Direct Current Electric Circuits/
  32.    wt: 2:   Parent Center/
  33.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  34.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  35.    wt: 2:   13 Vectors/
  36.    wt: 2:   12 Function Translating and Rescaling/
  37.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  38.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  39.    wt: 2:   8 Unit Circle Trigonometry/
  40.    wt: 2:   7 Complex Numbers/
  41.    wt: 2:   5 What is Similarity/
  42.    wt: 2:   4 Lines and Slopes Take 1/
  43.    wt: 2:   3 Cartesian and Polar Coordinates/
  44.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
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  47.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  48.    wt: 2:   D Decimal Long Division Methods/
  49.    wt: 2:   C Decimal Multiplication Methods/
  50.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  51.    wt: 2:   A Decimal Counting and Adding Methods/
  52.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  53.    wt: 2:   Volume 1 Elements of Reason/
  54.    wt: 1:   LAMP Lean Applied Mathematics Program/
  55.    wt: 1:   Progressive Observable Motivated Mathematics Education/
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  59.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
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  70.    wt: 1:   4 Remainder Arithmetic and Divisibility/
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301 matches:

  1.    wt: 4:   Volume of Solid by Cross Sections Lesson
  2.    wt: 3:   6 Intersection of lines by solving linear systems
  3.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  4.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  5.    wt: 2:   chapitre 06 00 Chaines de la raison
  6.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  7.    wt: 2:   6 Graph of arccos function
  8.    wt: 2:   4 Resultant of a Sum of Movements
  9.    wt: 2:   Parallel Lines and Parallel Transversals
  10.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  11.    wt: 2:   27 Logarithmic use of products of sines and cosines
  12.    wt: 2:   26 Formulas for products of sines and cosines
  13.    wt: 2:   6 Field Properties of Complex Number
  14.    wt: 2:   5 An Easy Proof of the Distributive Law
  15.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  16.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  17.    wt: 2:   16 Angles Subtended By Chords and Diameters
  18.    wt: 2:   21 Addition of Multiples of a Single Vector
  19.    wt: 2:   11 Volume of Sphere
  20.    wt: 2:   10 Volume of Pyramid
  21.    wt: 2:   9 Volume of Cone
  22.    wt: 2:   6 Three Notions of What is a Variable
  23.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  24.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  25.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  26.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  27.    wt: 2:   6 Simplification of Fractions with Units
  28.    wt: 2:   6 Multiplication of Mixed Numbers
  29.    wt: 2:   6 Multiplication by Natural Numbers
  30.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  31.    wt: 2:   26 Divisibility by 2 3 5 Example
  32.    wt: 2:   16 video Factors of 980 using prime
  33.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  34.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  35.    wt: 2:   012 Division of Time Intervals by Time Intervals
  36.    wt: 2:   011 Division of Time Intervals By Numbers
  37.    wt: 2:   Example 2 volume of a cone
  38.    wt: 2:   Example 1 volume of a pyramid
  39.    wt: 2:   A Related lessons in Volume 3
  40.    wt: 2:   17 Derivatives of quotients of sine and cosine
  41.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  42.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  43.    wt: 2:   Chapter 6 Change of Language
  44.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  45.    wt: 2:   Chapter 6 Chains of Reason
  46.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  47.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  48.    wt: 2:   Chapter 3 Algebra Starter Lessons
  49.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  50.    wt: 1:   Skills Chapter 5 Calculus
  51.    wt: 1:   6 polynomials etc
  52.    wt: 1:   Applied Maths Program14092009 POMME variant
  53.    wt: 1:   Mathematics Education Professors
  54.    wt: 1:   Postscript 2007 01 10
  55.    wt: 1:   Theory of Knowledge
  56.    wt: 1:   Different Kinds of Reasoning in maths
  57.    wt: 1:   three kinds of reason in mathematics
  58.    wt: 1:   chapitre 12 00 les iles et division
  59.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  60.    wt: 1:   chapitre 05 00 Deception
  61.    wt: 1:   chapitre 04 06 engagements
  62.    wt: 1:   chapitre 04 00 Les regles d implication
  63.    wt: 1:   chapitre 02 00 La Communication des idees
  64.    wt: 1:   chapitre 01 00 Introduction
  65.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  66.    wt: 1:   1 Energy Power Heat06
  67.    wt: 1:   3 Like resistors in parallel
  68.    wt: 1:   2 Unlike resistors in parallel01
  69.    wt: 1:   E Kirchoffs Second Law
  70.    wt: 1:   D Kirchoff First Law
  71.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  72.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  73.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  74.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  75.    wt: 1:   16 Secondary Mathematics Tips
  76.    wt: 1:   9 Streaming by Student Cooperation
  77.    wt: 1:   8 The Effect of Negative Remarks
  78.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  79.    wt: 1:   Ages 6 to 7
  80.    wt: 1:   26 Function definitions done and coming
  81.    wt: 1:   16 Increasing or decreasing on intervals
  82.    wt: 1:   15 Sign analysis of functions
  83.    wt: 1:   8 Set view of relations and functions
  84.    wt: 1:   6 Set Existence Formation and Notation
  85.    wt: 1:   2 Algebraic use of function notation
  86.    wt: 1:   1 Geometric Introduction of Function Notation
  87.    wt: 1:   8 quadratics backward use of various formulas
  88.    wt: 1:   6 quadratics numerical approach
  89.    wt: 1:   4 quadratics difference of two squares
  90.    wt: 1:   3 quadratics factoring by inspection
  91.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  92.    wt: 1:   1 Calculator Starter Exercises
  93.    wt: 1:   7 Links Lessons Elsewhere
  94.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  95.    wt: 1:   16 cotangent function Definition Graph and Inverse
  96.    wt: 1:   11 arctan left inverse of tangent Graph
  97.    wt: 1:   10 arctan left inverse of tangent Definition
  98.    wt: 1:   8 arcsin left inverse of sine Graph
  99.    wt: 1:   7 arcsin left inverse of sine Definition
  100.    wt: 1:   3 Left Inverse of cosine arccos definition
  101.    wt: 1:   8 Radian Measures of Common Angles
  102.    wt: 1:   6 Radian Measure to Degrees
  103.    wt: 1:   2 Radian Measure Numerical Value of one degree
  104.    wt: 1:   10 Parallelogram Addition Method
  105.    wt: 1:   8 Parallel Vectors
  106.    wt: 1:   6 Vectors with Coordinates
  107.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  108.    wt: 1:   Parallel Lines and Interior Angles
  109.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  110.    wt: 1:   Straight Lines Intersection of
  111.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  112.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  113.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  115.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  116.    wt: 1:   32 seven rows of pascals triangle
  117.    wt: 1:   30 unit circle calculation of six trigonometric functions
  118.    wt: 1:   28 Expressing products of sines cosines as sums
  119.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  120.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  121.    wt: 1:   18 sum of sinusoidal waves as a single wave
  122.    wt: 1:   17F Law of cosines
  123.    wt: 1:   16 Right Triangle Complementary Angle Relations
  124.    wt: 1:   13 Graph of tangent function many periods
  125.    wt: 1:   12 Graph of tangent function for one period
  126.    wt: 1:   10 Graphs of sines and cosines many periods
  127.    wt: 1:   9 Graphs of sine and cosine over one period
  128.    wt: 1:   8 period of tangent function
  129.    wt: 1:   7 period of sine and cosine
  130.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  131.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  132.    wt: 1:   Unit Circle Development of Trigonometry
  133.    wt: 1:   20 N th Roots of Complex Numbers
  134.    wt: 1:   19 N th Roots of Unity
  135.    wt: 1:   18 Sixth Roots of Unity
  136.    wt: 1:   17 Cube Roots of unity
  137.    wt: 1:   16 References and Originality Question
  138.    wt: 1:   14 Law of cosines
  139.    wt: 1:   8 Unit Circle Development of Trigonometry
  140.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  141.    wt: 1:   9 Similarity of Triangles Usual Criteria
  142.    wt: 1:   8 Similarity of Triangles and Polygons
  143.    wt: 1:   6 Geometric Diagrams in Class
  144.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  145.    wt: 1:   3 Similarity by Design with coordinates
  146.    wt: 1:   2 Similarity By Design
  147.    wt: 1:   1 Early Concept of Like or Similar Shapes
  148.    wt: 1:   12 Links Lessons elsewhere
  149.    wt: 1:   10 Midpoint of [a b] and [b a]
  150.    wt: 1:   5 Algebraic View of Slopes
  151.    wt: 1:   1 Numerical view of lines and their equations
  152.    wt: 1:   10 Pythagorean plane distance formula
  153.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  154.    wt: 1:   6 Polar Multiplication and Rotation
  155.    wt: 1:   PS B Parallelogram Construction Methods
  156.    wt: 1:   21 Parallelograms
  157.    wt: 1:   17 Right Bisectors of Triangle Sides
  158.    wt: 1:   14 Parallel Lines Postulate
  159.    wt: 1:   9 Construction of a right bisector
  160.    wt: 1:   6 Ruler and compass Angle Bisection
  161.    wt: 1:   3 Isometry of Triangles Congruence
  162.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  163.    wt: 1:   6 Figuring with Maps Not to Scale
  164.    wt: 1:   26 More Less Greater Than Comparison
  165.    wt: 1:   22 Multiplication of Signed Numbers
  166.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  167.    wt: 1:   19 Signed Multiples of Vectors
  168.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  169.    wt: 1:   13 Arrows and Vectors in a Plane
  170.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  171.    wt: 1:   8 Division and Mulplication of Compound Fractions
  172.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  173.    wt: 1:   4 Location of Point in Decimal Addition
  174.    wt: 1:   3 Location of Point in Decimal Multiplication
  175.    wt: 1:   6 Column Methods for Decimal Multiplication
  176.    wt: 1:   1 The Counting Origins of Numbers
  177.    wt: 1:   5 Areas of Rectangles Revisited
  178.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  179.    wt: 1:   6 Compound Interest Forward and Backwards
  180.    wt: 1:   6 Equations and Systems Equivalent or Implied
  181.    wt: 1:   4 Comparison of Negative Numbers
  182.    wt: 1:   16 Real Numbers Comparison
  183.    wt: 1:   8 Coordinates for Maps and Planes
  184.    wt: 1:   6 Unsigned Real Numbers
  185.    wt: 1:   6 Algebraic Solution Example
  186.    wt: 1:   6 Three Examples
  187.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  188.    wt: 1:   5 Box Volume Formula Example
  189.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  190.    wt: 1:   8 Sets of Numbers
  191.    wt: 1:   6 Power Set Notation
  192.    wt: 1:   4 A Brief Story of numbers and algebra
  193.    wt: 1:   3 Comparison of Negative Numbers
  194.    wt: 1:   3 Properties of Square Roots with example
  195.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  196.    wt: 1:   6 GCD from Prime
  197.    wt: 1:   5 Common Divisors 60 45 via Prime
  198.    wt: 1:   4 LCM of 8 and 10 via Prime
  199.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  200.    wt: 1:   12 GCD 2700 288 via Prime
  201.    wt: 1:   6 adding signed numbers
  202.    wt: 1:   5 lengths and signs of numbers
  203.    wt: 1:   3 signed coordinates for maps and planes
  204.    wt: 1:   16 Addition Subtraction Comparision Compared
  205.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  206.    wt: 1:   6 Multiplication Algebraically Take II
  207.    wt: 1:   3 Unit fraction of a fraction
  208.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  209.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  210.    wt: 1:   8 Multiplication by Signed Numbers Integers
  211.    wt: 1:   7 Multiplication by Signs
  212.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  213.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  214.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  215.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  216.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  217.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  218.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  219.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  220.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  221.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  222.    wt: 1:   20 Uniqueness of Prime Factorization
  223.    wt: 1:   15 video Factors of 20 using Prime Factorization
  224.    wt: 1:   14 video Factors of 24 Take II
  225.    wt: 1:   13 video Factors of 24 using prime
  226.    wt: 1:   2 Prime and Composites less than 16
  227.    wt: 1:   10 Division by Five Long and Short Ways
  228.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  229.    wt: 1:   C Counting Areas with Powers of Ten
  230.    wt: 1:   B Powers of Ten
  231.    wt: 1:   6 Multiplication Commutes Order Not Important
  232.    wt: 1:   8 Subtraction with Units of Measure
  233.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  234.    wt: 1:   6. Counting and adding units and mixed units
  235.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  236.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  237.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  238.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  239.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  240.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  241.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  242.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  243.    wt: 1:   Quick history of numbers and algebra
  244.    wt: 1:   016 Numbering Occidental Calendar Days
  245.    wt: 1:   010 Repeated Addition of Time Intervals
  246.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  247.    wt: 1:   8 Addition of Time Intervals via subtotaling
  248.    wt: 1:   7 Addition of Time Intervals
  249.    wt: 1:   6 How long is a million seconds
  250.    wt: 1:   4 Mixing and Changing Units of Time
  251.    wt: 1:   3 Units and Lengths of Time
  252.    wt: 1:   1 Intro of Kids To Time Date Skills
  253.    wt: 1:   Example 4 with x function of y
  254.    wt: 1:   A Related Material in Volume 3
  255.    wt: 1:   36 Cube root derivative animated
  256.    wt: 1:   34 Derivative of exponential function
  257.    wt: 1:   31 Derivatives of inverse functions
  258.    wt: 1:   30Chain Rule A Proof
  259.    wt: 1:   28 Chain Rule Preparation for a Proof
  260.    wt: 1:   26 Chain Rule Recognising outer inner functions
  261.    wt: 1:   8 Differentiation of polynomials
  262.    wt: 1:   6 Power rule from product rule
  263.    wt: 1:   7 Evaluation by immediate or delayed substitution
  264.    wt: 1:   6 Continuity at a point
  265.    wt: 1:   5 Jumps and absence of unlimited error control
  266.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  267.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  268.    wt: 1:   G.3 Constant Difference Theorem Proof
  269.    wt: 1:   E2 Algebraic Properties of Limits
  270.    wt: 1:   D2 Limits of Monotone Sequences
  271.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  272.    wt: 1:   Chapter 16. Velocity Approximation
  273.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  274.    wt: 1:   Chapter 9 About First Courses in Calculus
  275.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  276.    wt: 1:   Fall 1983 Calculus Appetizer
  277.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  278.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  279.    wt: 1:   Chapter 16. Painless Theorem Proving
  280.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  281.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  282.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  283.    wt: 1:   Chapter 4 Longer Chains of Reason
  284.    wt: 1:   Chapter 3 Chains of Reason
  285.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  286.    wt: 1:   Chapter 7 Two Treatments of Geometry
  287.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  288.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  289.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  290.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  291.    wt: 1:   Chapter 8 Change of Language
  292.    wt: 1:   Chapter 7 Longer Chains of Reason
  293.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  294.    wt: 1:   C. Domino effect of being careful
  295.    wt: 1:   B. Domino effect of errors
  296.    wt: 1:   Chapter 6 More Algebra and Geometry
  297.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  298.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  299.    wt: 1:   More Algebra and Slope based Calculus Preview
  300.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  301.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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1131 matches:

  1.    wt: 9:   Summary
  2.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  3.    wt: 9:   6 Continuity at a point
  4.    wt: 8:   Area Between Crossing Curves Lesson Take 1
  5.    wt: 8:   Example 4 with x function of y
  6.    wt: 8:   Example 1
  7.    wt: 8:   4 Definite Integrals Evaluation Exercises
  8.    wt: 8:   A Related lessons in Volume 3
  9.    wt: 8:   36 Cube root derivative animated
  10.    wt: 8:   28 Chain Rule Preparation for a Proof
  11.    wt: 8:   17 Derivatives of quotients of sine and cosine
  12.    wt: 8:   8 Differentiation of polynomials
  13.    wt: 8:   7 Evaluation by immediate or delayed substitution
  14.    wt: 8:   5 Jumps and absence of unlimited error control
  15.    wt: 7:   chapitre 06 00 Chaines de la raison
  16.    wt: 7:   Parallel Lines and Parallel Transversals
  17.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  18.    wt: 7:   6 Intersection of lines by solving linear systems
  19.    wt: 7:   6 Column Methods for Decimal Multiplication
  20.    wt: 7:   4 Comparison of Negative Numbers
  21.    wt: 7:   6 Algebraic Solution Example
  22.    wt: 7:   6 Three Examples
  23.    wt: 7:   9 Volume of Cone
  24.    wt: 7:   Example 1. Area Between x and x squared
  25.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  26.    wt: 7:   Example 3
  27.    wt: 7:   Example 2
  28.    wt: 7:   Area Between Curves Lesson Take 2
  29.    wt: 7:   Area Between Curves Lesson Take 1
  30.    wt: 7:   A Related Material in Volume 3
  31.    wt: 7:   5 Area Under Curve Exercise
  32.    wt: 7:   3 Two Chain Rule Method Exercises
  33.    wt: 7:   2 Indefinite Integrals Exercises
  34.    wt: 7:   1 Chain Rule in Reverse Integration Method
  35.    wt: 7:   4 Second derivative test exercise example
  36.    wt: 7:   3 Second derivative test
  37.    wt: 7:   2 Second derivative test prequel
  38.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  39.    wt: 7:   34 Derivative of exponential function
  40.    wt: 7:   31 Derivatives of inverse functions
  41.    wt: 7:   30Chain Rule A Proof
  42.    wt: 7:   27 Chain Rule sinusoidal outer inner functions EGS
  43.    wt: 7:   26 Chain Rule Recognising outer inner functions
  44.    wt: 7:   25 Chain Rule Animated Examples Continued
  45.    wt: 7:   18 Chain Rule Introduction
  46.    wt: 7:   15 sine and cosine derivatives 3rd step
  47.    wt: 7:   13 sine and cosine derivatives 1st step
  48.    wt: 7:   12 Quotient rule examples
  49.    wt: 7:   6 Power rule from product rule
  50.    wt: 7:   3 Motivation for Limit Definition Take 2
  51.    wt: 7:   2 Motivation for Limit Definition Take 1
  52.    wt: 7:   1 Fall 1983 Why Slopes Appetizer
  53.    wt: 7:   9 Limits Continuity and Composition
  54.    wt: 7:   8 Four Animated Examples
  55.    wt: 7:   4 Numerical properties
  56.    wt: 7:   3 Decimal insights for limits continuity convergence
  57.    wt: 7:   2 Algebraic codification
  58.    wt: 7:   1 Numerical introduction
  59.    wt: 6:   chapitre 12 00 les iles et division
  60.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  61.    wt: 6:   chapitre 05 00 Deception
  62.    wt: 6:   chapitre 04 06 engagements
  63.    wt: 6:   chapitre 04 00 Les regles d implication
  64.    wt: 6:   chapitre 02 00 La Communication des idees
  65.    wt: 6:   chapitre 01 00 Introduction
  66.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  67.    wt: 6:   6 Field Properties of Complex Number
  68.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  69.    wt: 6:   Why Trigonometry the whyslopes view
  70.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  71.    wt: 6:   16 Angles Subtended By Chords and Diameters
  72.    wt: 6:   21 Addition of Multiples of a Single Vector
  73.    wt: 6:   1 The Counting Origins of Numbers
  74.    wt: 6:   5 Areas of Rectangles Revisited
  75.    wt: 6:   7 Pythagorean Theorem Chinese Square Proof
  76.    wt: 6:   6 Compound Interest Forward and Backwards
  77.    wt: 6:   6 Equations and Systems Equivalent or Implied
  78.    wt: 6:   5 Greater More Less Than Signs in General
  79.    wt: 6:   3 More and Less Than with Unlike Signs
  80.    wt: 6:   2 More and Less Than for Counts and Measures
  81.    wt: 6:   1 Real Numbers Comparison
  82.    wt: 6:   11 Volume of Sphere
  83.    wt: 6:   10 Volume of Pyramid
  84.    wt: 6:   6 Pythagorean Hypotenuse Calculation Example
  85.    wt: 6:   5 Box Volume Formula Example
  86.    wt: 6:   8 Sets of Numbers
  87.    wt: 6:   6 Power Set Notation
  88.    wt: 6:   6 Multiplication of Mixed Numbers
  89.    wt: 6:   012 Division of Time Intervals by Time Intervals
  90.    wt: 6:   011 Division of Time Intervals By Numbers
  91.    wt: 6:   9 Comparison and Subtraction of Time Intervals
  92.    wt: 6:   8 Addition of Time Intervals via subtotaling
  93.    wt: 6:   7 Addition of Time Intervals
  94.    wt: 6:   6 How long is a million seconds
  95.    wt: 6:   4 Mixing and Changing Units of Time
  96.    wt: 6:   3 Units and Lengths of Time
  97.    wt: 6:   1 Intro of Kids To Time Date Skills
  98.    wt: 6:   A Chain Rule Real Player video examples
  99.    wt: 6:   38 Formulas and derivatives for powers and roots
  100.    wt: 6:   33 Chain Rule Real Player video examples
  101.    wt: 6:   29 Chain Rule Optional Reading
  102.    wt: 6:   24 Chain Rule Animated Examples
  103.    wt: 6:   23 Chain Rule in general
  104.    wt: 6:   22 Chain Rule for polynomials
  105.    wt: 6:   21 Chain Rule for powers
  106.    wt: 6:   20 Chain Rule for Pulley Systems
  107.    wt: 6:   19 Chain Rule for linear functions
  108.    wt: 6:   14 sine and cosine derivatives 2nd step
  109.    wt: 6:   11 Quotient rule
  110.    wt: 6:   10 Power rule for negative integers
  111.    wt: 6:   9 Reciprocal rule
  112.    wt: 6:   7 Animated Differentiation Examples
  113.    wt: 6:   5 Product Rule
  114.    wt: 6:   4 Sum Rule
  115.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  116.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  117.    wt: 6:   11 Limits at infinity Three Examples
  118.    wt: 6:   10 Three one sided limits with infinite values
  119.    wt: 6:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  120.    wt: 5:   chapitre 07 01 principle D induction mathematique
  121.    wt: 5:   chapitre 04 10 Etapes pour une meilleur raison
  122.    wt: 5:   chapitre 04 09 Regles accidentelles
  123.    wt: 5:   chapitre 04 08 Limitations et benefices
  124.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  125.    wt: 5:   chapitre 04 05 Implication versus suggestion
  126.    wt: 5:   chapitre 04 04 Parlons de la logique
  127.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  128.    wt: 5:   chapitre 04 02 Deuxieme enigme
  129.    wt: 5:   chapitre 04 01 Premiere enigme
  130.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  131.    wt: 5:   E Kirchoffs Second Law
  132.    wt: 5:   16 Secondary Mathematics Tips
  133.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  134.    wt: 5:   Ages 6 to 7
  135.    wt: 5:   6 Graph of arccos function
  136.    wt: 5:   4 Resultant of a Sum of Movements
  137.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  138.    wt: 5:   Parallel Lines and Interior Angles
  139.    wt: 5:   27 Logarithmic use of products of sines and cosines
  140.    wt: 5:   16 References and Originality Question
  141.    wt: 5:   5 An Easy Proof of the Distributive Law
  142.    wt: 5:   8 Triangles Cascade Problem Solving
  143.    wt: 5:   7 Trignometric Ratios Unit Circle
  144.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  145.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  146.    wt: 5:   3 Trigonometric Ratios sine and cosine
  147.    wt: 5:   1 Angle Measurement with Degrees
  148.    wt: 5:   6 Polar Multiplication and Rotation
  149.    wt: 5:   6 Ruler and compass Angle Bisection
  150.    wt: 5:   8 More Use of Maps Not Drawn to Scale
  151.    wt: 5:   6 Figuring with Maps Not to Scale
  152.    wt: 5:   26 More Less Greater Than Comparison
  153.    wt: 5:   22 Multiplication of Signed Numbers
  154.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  155.    wt: 5:   19 Signed Multiples of Vectors
  156.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  157.    wt: 5:   13 Arrows and Vectors in a Plane
  158.    wt: 5:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  159.    wt: 5:   8 Division and Mulplication of Compound Fractions
  160.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  161.    wt: 5:   4 Location of Point in Decimal Addition
  162.    wt: 5:   3 Location of Point in Decimal Multiplication
  163.    wt: 5:   E Long Division Methods more
  164.    wt: 5:   D Long Division Methods
  165.    wt: 5:   C Three Decimal Subtraction Methods
  166.    wt: 5:   B Decimal Comparison and Subtraction
  167.    wt: 5:   A Decimal Addition Columm Methods
  168.    wt: 5:   8 Column Multiplication Methods in General
  169.    wt: 5:   7 Decimals Multiplication Methods Examples
  170.    wt: 5:   5 Distributive Law for Whole Numbers
  171.    wt: 5:   4 Commutative Law Groups Counting Form
  172.    wt: 5:   3 Multiplicative Counting Skills Principles
  173.    wt: 5:   2 Combing Counts Addition Skills and Principles
  174.    wt: 5:   4 Fraction Operations Axiomatic Development
  175.    wt: 5:   3 Inequalities Algebraically
  176.    wt: 5:   2 Fraction Operations Physical Development
  177.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  178.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  179.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  180.    wt: 5:   5 Triangle Area Formula Backwards
  181.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  182.    wt: 5:   3 Linear Equation Literal Solution More
  183.    wt: 5:   2 Linear Equation Literal Solution
  184.    wt: 5:   1 Changing Calculations
  185.    wt: 5:   5 Equality in Algebra
  186.    wt: 5:   4 Subtraction and Division Axioms
  187.    wt: 5:   3 Product Axioms Two Forms
  188.    wt: 5:   2 Addition and Multiplication Axioms
  189.    wt: 5:   1 Equivalent Computation Rules
  190.    wt: 5:   16 Real Numbers Comparison
  191.    wt: 5:   8 Coordinates for Maps and Planes
  192.    wt: 5:   6 Unsigned Real Numbers
  193.    wt: 5:   5 Rational Numbers More
  194.    wt: 5:   4 Rational Numbers
  195.    wt: 5:   3 Fractions
  196.    wt: 5:   2 Integers
  197.    wt: 5:   1 Whole and Natural Numbers
  198.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  199.    wt: 5:   4 GE III Animated Examples
  200.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  201.    wt: 5:   3 GE III Equation Addition and Multiplication
  202.    wt: 5:   2 GE II Comparison
  203.    wt: 5:   1 GE Substitution four examples
  204.    wt: 5:   4 Solving a triangular system exercise
  205.    wt: 5:   3 Solving triangular system example
  206.    wt: 5:   2 Essentially one exercises three with solution
  207.    wt: 5:   1 Essentially One Unknown
  208.    wt: 5:   5 Algebraic Solutions Introduction
  209.    wt: 5:   4 Four Examples Fractional Coefficients
  210.    wt: 5:   3 Four Examples
  211.    wt: 5:   2 Three Examples
  212.    wt: 5:   1 Proper Equal Sign Usage
  213.    wt: 5:   Skill Development Notes
  214.    wt: 5:   10 One Example
  215.    wt: 5:   9 Three Examples
  216.    wt: 5:   8 One Example
  217.    wt: 5:   7 Two Examples
  218.    wt: 5:   5 Three Examples
  219.    wt: 5:   4 Two Examples
  220.    wt: 5:   3 Two Examples
  221.    wt: 5:   2 Three Examples
  222.    wt: 5:   Formula Usage Show Work Format
  223.    wt: 5:   8 Compound Interest Formula Evaluation
  224.    wt: 5:   7 Compound Interest Formula Introduction
  225.    wt: 5:   4 Circle Area Formula Example
  226.    wt: 5:   3 Triangle Area Formula Example
  227.    wt: 5:   2 Another Rectangle Area Formula Example
  228.    wt: 5:   1 Written work formats for developing and showing skill
  229.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  230.    wt: 5:   9 Sets in Probability and Statistics
  231.    wt: 5:   7 Cautious or Safe Set Construction
  232.    wt: 5:   5 Product Builder Notation
  233.    wt: 5:   4 Subset Builder Notation
  234.    wt: 5:   3 Counting with Sets etc
  235.    wt: 5:   2 Venn Diagrams
  236.    wt: 5:   1 Finite Sets
  237.    wt: 5:   6 Three Notions of What is a Variable
  238.    wt: 5:   6 Multiplication Algebraically Take II
  239.    wt: 5:   6 Multiplication by Natural Numbers
  240.    wt: 5:   16 video Factors of 980 using prime
  241.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  242.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  243.    wt: 5:   6 Multiplication Commutes Order Not Important
  244.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  245.    wt: 5:   6. Counting and adding units and mixed units
  246.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  247.    wt: 5:   016 Numbering Occidental Calendar Days
  248.    wt: 5:   010 Repeated Addition of Time Intervals
  249.    wt: 5:   5 Conversion Arithmetic
  250.    wt: 5:   2 Time and Date Matters in School
  251.    wt: 5:   G.1 First Fundamental Theorem of Calculus
  252.    wt: 5:   D2 Limits of Monotone Sequences
  253.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  254.    wt: 5:   Chapter 16. Velocity Approximation
  255.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  256.    wt: 5:   Fall 1983 Calculus Appetizer
  257.    wt: 5:   Chapter 6 Change of Language
  258.    wt: 5:   6 Measuring via counting or arithmetic the role of fractions
  259.    wt: 4:   6 polynomials etc
  260.    wt: 4:   1 Energy Power Heat06
  261.    wt: 4:   D Kirchoff First Law
  262.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  263.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  264.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  265.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  266.    wt: 4:   9 Streaming by Student Cooperation
  267.    wt: 4:   8 The Effect of Negative Remarks
  268.    wt: 4:   Ages 12 to 14 Skills with take home value
  269.    wt: 4:   Ages 12 to 14 Geometry
  270.    wt: 4:   Ages 12 to 14 Arithmetic
  271.    wt: 4:   Ages 10 to 12 Geometry
  272.    wt: 4:   Ages 10 to 12 Arithmetic
  273.    wt: 4:   Ages 9 to 10
  274.    wt: 4:   Ages 8 to 9
  275.    wt: 4:   Ages 7 to 8
  276.    wt: 4:   Ages 4 plus to 5 plus
  277.    wt: 4:   Ages 3 plus to 4 plus
  278.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  279.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  280.    wt: 4:   6 Set Existence Formation and Notation
  281.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  282.    wt: 4:   16 cotangent function Definition Graph and Inverse
  283.    wt: 4:   11 arctan left inverse of tangent Graph
  284.    wt: 4:   10 arctan left inverse of tangent Definition
  285.    wt: 4:   8 arcsin left inverse of sine Graph
  286.    wt: 4:   7 arcsin left inverse of sine Definition
  287.    wt: 4:   3 Left Inverse of cosine arccos definition
  288.    wt: 4:   8 Radian Measures of Common Angles
  289.    wt: 4:   6 Radian Measure to Degrees
  290.    wt: 4:   5 Degrees to Radian Measure
  291.    wt: 4:   2 Radian Measure Numerical Value of one degree
  292.    wt: 4:   1 Degrees and Radians Introduction
  293.    wt: 4:   10 Parallelogram Addition Method
  294.    wt: 4:   8 Parallel Vectors
  295.    wt: 4:   6 Vectors with Coordinates
  296.    wt: 4:   Vector and Complex Number Applet
  297.    wt: 4:   Triangle Angles Sum To 180 Degrees
  298.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  299.    wt: 4:   Straight Lines Intersection of
  300.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  301.    wt: 4:   4 Tangent Function Properties
  302.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  303.    wt: 4:   26 Formulas for products of sines and cosines
  304.    wt: 4:   9 Graphs of sine and cosine over one period
  305.    wt: 4:   Unit Circle Development of Trigonometry
  306.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  307.    wt: 4:   20 N th Roots of Complex Numbers
  308.    wt: 4:   19 N th Roots of Unity
  309.    wt: 4:   18 Sixth Roots of Unity
  310.    wt: 4:   17 Cube Roots of unity
  311.    wt: 4:   14 Law of cosines
  312.    wt: 4:   8 Unit Circle Development of Trigonometry
  313.    wt: 4:   Appetizer A Complex Number Applet
  314.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  315.    wt: 4:   9 Similarity of Triangles Usual Criteria
  316.    wt: 4:   6 Geometric Diagrams in Class
  317.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  318.    wt: 4:   12 Links Lessons elsewhere
  319.    wt: 4:   10 Midpoint of [a b] and [b a]
  320.    wt: 4:   5 Algebraic View of Slopes
  321.    wt: 4:   1 Numerical view of lines and their equations
  322.    wt: 4:   What is and is not here
  323.    wt: 4:   10 Pythagorean plane distance formula
  324.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  325.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  326.    wt: 4:   PS B Parallelogram Construction Methods
  327.    wt: 4:   21 Parallelograms
  328.    wt: 4:   17 Right Bisectors of Triangle Sides
  329.    wt: 4:   14 Parallel Lines Postulate
  330.    wt: 4:   9 Construction of a right bisector
  331.    wt: 4:   3 Isometry of Triangles Congruence
  332.    wt: 4:   Short Course on Euclidean Geometry
  333.    wt: 4:   A Measurement with Ruler Proper Use
  334.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  335.    wt: 4:   4 Angles on Maps Plans drawn to scale
  336.    wt: 4:   3 Lengths and Areas on Maps and Plans
  337.    wt: 4:   2 Measuring Area Directly
  338.    wt: 4:   1 Length Measurement
  339.    wt: 4:   A Modular and Remainder Arithmetic
  340.    wt: 4:   A Signed Number Arithmetic Review
  341.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  342.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  343.    wt: 4:   23 Distributive Law Two Derivations
  344.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  345.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  346.    wt: 4:   15 Head to Tails in place Addition Associative
  347.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  348.    wt: 4:   12 Real Numbers Line Signed Coordinates
  349.    wt: 4:   11 Signed Number Addition and Addition Properties
  350.    wt: 4:   9 Division with Digits after Decimal Point
  351.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  352.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  353.    wt: 4:   2 Counting Digits in Decimal Multiplication
  354.    wt: 4:   1 Fractions with Finite Decimal Expansions
  355.    wt: 4:   5 Proportionality in Equivalent Fractions
  356.    wt: 4:   4 Rates Ratios and Proporitionality
  357.    wt: 4:   3 Proportionality Examples
  358.    wt: 4:   2 Algebraic View
  359.    wt: 4:   1 What is Proportionality
  360.    wt: 4:   15 Real Number Division
  361.    wt: 4:   14 Real Number Multiplication
  362.    wt: 4:   13 Real Number Subtraction
  363.    wt: 4:   12 Real Number Additive Inverses or Negatives
  364.    wt: 4:   11 Real Number Addition
  365.    wt: 4:   10 Real Number Lengths and Signs
  366.    wt: 4:   9 Coordinates for Regions in Space
  367.    wt: 4:   7 Real Numbers as Line Cordinates
  368.    wt: 4:   5 Independent versus Dependent Variables
  369.    wt: 4:   4 Changing Letters
  370.    wt: 4:   3 Geometric Formulas and Function Notation
  371.    wt: 4:   2 Computation Rules Evaluation
  372.    wt: 4:   1 Formulas Dependence and Function Notation
  373.    wt: 4:   More Exercises
  374.    wt: 4:   Using Letters for Physical Quantities
  375.    wt: 4:   13 Naming Identifying Formulas with Words
  376.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  377.    wt: 4:   4 A Brief Story of numbers and algebra
  378.    wt: 4:   About Folder Contents
  379.    wt: 4:   3 Comparison of Negative Numbers
  380.    wt: 4:   6 adding signed numbers
  381.    wt: 4:   6 Simplification of Fractions with Units
  382.    wt: 4:   D Three Term Ratios
  383.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  384.    wt: 4:   B Fractions and Two Term Ratios
  385.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  386.    wt: 4:   16 Addition Subtraction Comparision Compared
  387.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  388.    wt: 4:   9 Improper Fractions and Mixed Numbers
  389.    wt: 4:   8 Numerals Fractionals Quantals Take II
  390.    wt: 4:   7 Numerals Fractionals Quantals
  391.    wt: 4:   3 Unit fraction of a fraction
  392.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  393.    wt: 4:   10 Division by Five Long and Short Ways
  394.    wt: 4:   C Counting Areas with Powers of Ten
  395.    wt: 4:   B Powers of Ten
  396.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  397.    wt: 4:   8 Subtraction with Units of Measure
  398.    wt: 4:   015 School and work day counting tables
  399.    wt: 4:   014 Counting Days with Calendars
  400.    wt: 4:   013 Travel Time Tables
  401.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  402.    wt: 4:   G.6 Bounded Derivatives implies Lipshitz Continuity
  403.    wt: 4:   G.3 Constant Difference Theorem Proof
  404.    wt: 4:   G.2 Differentiable Functions Mean Value Theorem
  405.    wt: 4:   E2 Algebraic Properties of Limits
  406.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  407.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  408.    wt: 4:   Chapter 10 Slopes and Units
  409.    wt: 4:   Chapter 9 About First Courses in Calculus
  410.    wt: 4:   Chapter 1.Introduction
  411.    wt: 4:   Foreword
  412.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  413.    wt: 4:   Chapter 16. Painless Theorem Proving
  414.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  415.    wt: 4:   Chapter 6 Chains of Reason
  416.    wt: 4:   Chapter 7 Calculus Previews and Calculus Lightly
  417.    wt: 4:   Chapter 6 More Algebra and Geometry
  418.    wt: 4:   Chapter 3 Algebra Starter Lessons
  419.    wt: 3:   What is POMME
  420.    wt: 3:   Applied Maths Program14092009 POMME variant
  421.    wt: 3:   links Education Resources online
  422.    wt: 3:   Motivation and Context Problem
  423.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  424.    wt: 3:   logique deux enigme
  425.    wt: 3:   2 Conductance Resistance Duality02
  426.    wt: 3:   D Wire Resistance Calculation02
  427.    wt: 3:   3 Like resistors in parallel
  428.    wt: 3:   2 Unlike resistors in parallel01
  429.    wt: 3:   1 Like resistors in series
  430.    wt: 3:   H Series Circuit02
  431.    wt: 3:   G Series Circuit01
  432.    wt: 3:   F Unlike Resistors in Series
  433.    wt: 3:   C Electromotive force conventional current02
  434.    wt: 3:   B Electromotive force conventional current01
  435.    wt: 3:   A Circuit Elements
  436.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  437.    wt: 3:   24 Standards For Skill Develoment Take II
  438.    wt: 3:   24 Standards For Skill Develoment
  439.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  440.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  441.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  442.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  443.    wt: 3:   22 Student Centered Highschool Mathematics
  444.    wt: 3:   18 Primary School Mathematics
  445.    wt: 3:   17 Math Booklets for children and young teenagers
  446.    wt: 3:   15 Counting For Parents
  447.    wt: 3:   14 Multiplication and Times Tables
  448.    wt: 3:   13 Addition and Addition Tables
  449.    wt: 3:   12 Goals and Objectives For Mathematics
  450.    wt: 3:   11 Help and Defend Your Child or Teens Education
  451.    wt: 3:   10 Ends values for work study instruction
  452.    wt: 3:   7 Student Motivation
  453.    wt: 3:   5 Patience Please for Yourself and Your Charges
  454.    wt: 3:   4 Learning Takes Time and Effort
  455.    wt: 3:   3 Preparing for Science Studies
  456.    wt: 3:   2 Reading and Writing Skills
  457.    wt: 3:   1 Speaking Skills
  458.    wt: 3:   26 Function definitions done and coming
  459.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  460.    wt: 3:   16 Increasing or decreasing on intervals
  461.    wt: 3:   8 Set view of relations and functions
  462.    wt: 3:   2 Algebraic use of function notation
  463.    wt: 3:   1 Geometric Introduction of Function Notation
  464.    wt: 3:   Introduction Reading Guide
  465.    wt: 3:   Quadratics in 10 steps
  466.    wt: 3:   1 Calculator Starter Exercises
  467.    wt: 3:   15 cosecant function Definition Graph and Inverse
  468.    wt: 3:   14 secant function Definition Graph and Inverse
  469.    wt: 3:   13 cosecant function Definition Graph and Inverse
  470.    wt: 3:   12 motivation for term arctan
  471.    wt: 3:   9 motivation for name arcsin
  472.    wt: 3:   5 Swapping Coordinates is a reflection
  473.    wt: 3:   4 possible motivation for term arccos
  474.    wt: 3:   2 cosine function more properties
  475.    wt: 3:   1 cosine function properties
  476.    wt: 3:   9 Summary Degrees to Radians and back
  477.    wt: 3:   7 Radian Measures in special Triangles
  478.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  479.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  480.    wt: 3:   A Global Time and Navigation
  481.    wt: 3:   15 Dot and Cross Product
  482.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  483.    wt: 3:   13 Velocity Vectors in Physics
  484.    wt: 3:   12 From Applied To Pure Mathematics
  485.    wt: 3:   11 Component Method
  486.    wt: 3:   9 Head to Tail Coordinate View
  487.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  488.    wt: 3:   5 Head To Tail Arrow Addition
  489.    wt: 3:   3 Navigation with Arrows or Vectors
  490.    wt: 3:   2 Signed Coordinates
  491.    wt: 3:   1 Unsigned Coordinates
  492.    wt: 3:   4 graphing y=Asin(x c)
  493.    wt: 3:   3 graphing y=f(x c) plus K
  494.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  495.    wt: 3:   1 graphing y=f(x a)
  496.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  497.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  498.    wt: 3:   Straight Lines ASA Intersection Study More
  499.    wt: 3:   Straight Lines ASA Intersection Study
  500.    wt: 3:   Straight Lines Instersection Solving Equations
  501.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  502.    wt: 3:   C Straight Lines Slope from Coordinates
  503.    wt: 3:   B Straight Line Slope Scaling Properties More
  504.    wt: 3:   A Straight Line Slope Scaling Properties
  505.    wt: 3:   14 Straight Lines Equations General Case
  506.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  507.    wt: 3:   12 Straight Lines Graphing mx plus b
  508.    wt: 3:   11 Straight Lines Graphing y=mx
  509.    wt: 3:   10 Straight Lines through Origin Equations More
  510.    wt: 3:   9 Straight Lines through Origin Equations
  511.    wt: 3:   8 Straight Lines Equation for vertical
  512.    wt: 3:   7 Tangent Function is odd on this domain
  513.    wt: 3:   5 Tangent Function Graph
  514.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  515.    wt: 3:   1 Straight Lines Slope Concept
  516.    wt: 3:   17 tangent function angle sum formulas
  517.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  518.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  519.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  520.    wt: 3:   32 seven rows of pascals triangle
  521.    wt: 3:   30 unit circle calculation of six trigonometric functions
  522.    wt: 3:   28 Expressing products of sines cosines as sums
  523.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  524.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  525.    wt: 3:   18 sum of sinusoidal waves as a single wave
  526.    wt: 3:   17F Law of cosines
  527.    wt: 3:   16 Right Triangle Complementary Angle Relations
  528.    wt: 3:   13 Graph of tangent function many periods
  529.    wt: 3:   12 Graph of tangent function for one period
  530.    wt: 3:   10 Graphs of sines and cosines many periods
  531.    wt: 3:   8 period of tangent function
  532.    wt: 3:   7 period of sine and cosine
  533.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  534.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  535.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  536.    wt: 3:   2 Quadrant I reference Angles
  537.    wt: 3:   1 Unit Points Reflections Rotations
  538.    wt: 3:   21 Logarithms Powers and Exponentials
  539.    wt: 3:   15 Pythagorean Theorem Converse
  540.    wt: 3:   13 Trig Formulas for dot and cross Products
  541.    wt: 3:   12 cis formulas for sine cosines and tangent
  542.    wt: 3:   11 sine and cosine double triple angle formulas
  543.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  544.    wt: 3:   9 The complex number valued trig function cis
  545.    wt: 3:   7 Second Way to Calculate Products
  546.    wt: 3:   4 Multiplication Properties
  547.    wt: 3:   3 Addition Properties
  548.    wt: 3:   2 Complex Numbers made easier we hope
  549.    wt: 3:   1 Rectangular Polar Coordinates Review
  550.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  551.    wt: 3:   12 Triangles Similarity More Problems
  552.    wt: 3:   11 Triangle Similarity Missing Side Problem
  553.    wt: 3:   8 Similarity of Triangles and Polygons
  554.    wt: 3:   3 Similarity by Design with coordinates
  555.    wt: 3:   2 Similarity By Design
  556.    wt: 3:   1 Early Concept of Like or Similar Shapes
  557.    wt: 3:   Four Simple Exercises
  558.    wt: 3:   11 A Partial Summary
  559.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  560.    wt: 3:   8 Mid Point Formula
  561.    wt: 3:   7 Exercises to test skill and concept mastery
  562.    wt: 3:   4 Equations for lines three forms
  563.    wt: 3:   3 Slope product for perpendicular lines
  564.    wt: 3:   2 point slope equation for a line
  565.    wt: 3:   13 Pythagorean spatial distance formulas
  566.    wt: 3:   12 Spatial Coordinates
  567.    wt: 3:   11 Triangle Inequality
  568.    wt: 3:   8 Distance Between Points on a Line
  569.    wt: 3:   7 Complex Numbers Appetizer
  570.    wt: 3:   5 Cartesian Addition and Translation
  571.    wt: 3:   4 Polar Coordinates to and from
  572.    wt: 3:   3 Rectangular Coordinates Review
  573.    wt: 3:   2 Cartesian Coordinates with signs
  574.    wt: 3:   1 Cartesian Coordinates sans signs
  575.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  576.    wt: 3:   PS H Distributive Law For Complex Numbers
  577.    wt: 3:   PS G Rotation Distributes over Addition
  578.    wt: 3:   PS E Multiplication with Polar Coordinates
  579.    wt: 3:   PS D Addition with Cartesian Coordinates
  580.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  581.    wt: 3:   PS A Kite Construction Methods
  582.    wt: 3:   19 Right Triangle Similarity
  583.    wt: 3:   18 Triangle Similarity Take 1
  584.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  585.    wt: 3:   13 Angle Side Angle Failure
  586.    wt: 3:   12 Side Angle Side Failure
  587.    wt: 3:   11 Triangle Construction Fails
  588.    wt: 3:   10 Dropping a perpendicular to line
  589.    wt: 3:   8 Isoceles Triangles
  590.    wt: 3:   7 Angle Side Angle
  591.    wt: 3:   5 Side Angle Side
  592.    wt: 3:   4 Side Side Side
  593.    wt: 3:   2 Correspondence between Triangles
  594.    wt: 3:   1 Initial Concepts and Terms
  595.    wt: 3:   About Folder Contents
  596.    wt: 3:   musings do not puiblish real numbers
  597.    wt: 3:   Simple Exercises
  598.    wt: 3:   5 Talking about Numbers and Quantities
  599.    wt: 3:   3 Adding Words To Arithmetic
  600.    wt: 3:   2 What is a Variable
  601.    wt: 3:   1 Three Skills For Algebra
  602.    wt: 3:   4 Greater More Less Than Signs in General
  603.    wt: 3:   2 More and Less Than with Unlike Signs
  604.    wt: 3:   1 More and Less Than for Counts and Measures
  605.    wt: 3:   3 Properties of Square Roots with example
  606.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  607.    wt: 3:   2 Counting with Tables and Trees I
  608.    wt: 3:   5 lengths and signs of numbers
  609.    wt: 3:   3 signed coordinates for maps and planes
  610.    wt: 3:   22 Complex Compound Fractions
  611.    wt: 3:   21 Working With Signs
  612.    wt: 3:   21 Reciprocals for Fractions and Wholes
  613.    wt: 3:   20 Dividing Fractions the Why
  614.    wt: 3:   19 Dividing Fractions How TO
  615.    wt: 3:   18 Efficient Ways to Multiply
  616.    wt: 3:   17 Efficient Ways to Add and Subtract
  617.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  618.    wt: 3:   14 Adding and Subtracting with Like Denominators
  619.    wt: 3:   13 Fraction Comparison Algebraic View
  620.    wt: 3:   12 Fraction Comparison
  621.    wt: 3:   11 Simplification an Algebraic View
  622.    wt: 3:   5 Equivalent Fractions
  623.    wt: 3:   4 Fraction Multiplication
  624.    wt: 3:   2 Unit Fraction Multiplication
  625.    wt: 3:   1 What is a fraction Take II
  626.    wt: 3:   1 What is a fraction
  627.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  628.    wt: 3:   8 Multiplication by Signed Numbers Integers
  629.    wt: 3:   7 Multiplication by Signs
  630.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  631.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  632.    wt: 3:   26 Divisibility by 2 3 5 Example
  633.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  634.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  635.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  636.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  637.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  638.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  639.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  640.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  641.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  642.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  643.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  644.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  645.    wt: 3:   20 Uniqueness of Prime Factorization
  646.    wt: 3:   15 video Factors of 20 using Prime Factorization
  647.    wt: 3:   14 video Factors of 24 Take II
  648.    wt: 3:   13 video Factors of 24 using prime
  649.    wt: 3:   2 Prime and Composites less than 16
  650.    wt: 3:   12 Why Long Division Works Take III
  651.    wt: 3:   11 Another Single Digit Divisor Example
  652.    wt: 3:   9 Why Long Division Works Take II
  653.    wt: 3:   8 Correcting the Mistake
  654.    wt: 3:   7 Long Divison Mistake Catching
  655.    wt: 3:   5 Long Division Include Zeroes or not
  656.    wt: 3:   4 Division with 2 Digit Divsors
  657.    wt: 3:   3 Division Single Digit Divisor Example
  658.    wt: 3:   2 Division with Single Digit Divisors
  659.    wt: 3:   1 Divsion Physical Examples
  660.    wt: 3:   D Decimal Multiplication Methods Derived
  661.    wt: 3:   A Elementary Basis for Multiplication Methods
  662.    wt: 3:   5 Decimal Fraction Multiplication
  663.    wt: 3:   4 Two and Three Digit Multipliers
  664.    wt: 3:   3 More One Digit Multipliers
  665.    wt: 3:   2 One Digit Multipliers
  666.    wt: 3:   1 Why 3 times 5 gives 15
  667.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  668.    wt: 3:   9 22 Minute Subtraction Review Video
  669.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  670.    wt: 3:   5 A Tip for Efficent Subtraction
  671.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  672.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  673.    wt: 3:   2 Subtraction Easy Case Examples
  674.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  675.    wt: 3:   8 What skills and work habits to require
  676.    wt: 3:   7 Adding decimal fractions using decimal point
  677.    wt: 3:   5. How to add decimals C. Examples
  678.    wt: 3:   4. How to add with decimals B with conversions
  679.    wt: 3:   3. How to add with decimals A sans conversions
  680.    wt: 3:   2 Decimal Counting Practices
  681.    wt: 3:   1. Explaining Addition Table
  682.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  683.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  684.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  685.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  686.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  687.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  688.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  689.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  690.    wt: 3:   Quick history of numbers and algebra
  691.    wt: 3:   G.5 Motions With Bounded Velocities
  692.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  693.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  694.    wt: 3:   F.5b Extreme Value Theorem
  695.    wt: 3:   F.5a Equicontinuity Theorems
  696.    wt: 3:   F.4 Finite Covering Theorem
  697.    wt: 3:   F.3 Intermediate Value Theorem
  698.    wt: 3:   F.2 Closed Range Theorem
  699.    wt: 3:   F.1 What Functions are Continuous
  700.    wt: 3:   E1 Error Control Inequalities
  701.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  702.    wt: 3:   C Triangle Inequalities
  703.    wt: 3:   B3 Bolzano Weierstrass Theorem
  704.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  705.    wt: 3:   A1. Introduction
  706.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  707.    wt: 3:   Chapter 23 Links To Trigonometry
  708.    wt: 3:   Chapter 22 Complex Numbers
  709.    wt: 3:   Chapter 21 Arrow Addition
  710.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  711.    wt: 3:   Chapter 18. Slopes Areas Integration
  712.    wt: 3:   Chapter 17. Area Approximation
  713.    wt: 3:   Chapter 15. Slope Approximation
  714.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  715.    wt: 3:   Chapter 13. Acceleration
  716.    wt: 3:   Chapter 12. Units and Slopes
  717.    wt: 3:   Chapter 11. Graphing Slope versus Position
  718.    wt: 3:   Chapter 8. Slope Interpretation
  719.    wt: 3:   Chapter 7 Slopes and Velocity
  720.    wt: 3:   Chapter 5. Slope Sign Tests
  721.    wt: 3:   Chapter 4. More Slope Sign Analysis
  722.    wt: 3:   Chapter 3. Slope Sign Analysis
  723.    wt: 3:   Chapter 2. Slopes and Ski Trails
  724.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  725.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  726.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  727.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  728.    wt: 3:   Chapter 4 Longer Chains of Reason
  729.    wt: 3:   Chapter 3 Chains of Reason
  730.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  731.    wt: 3:   Foreword
  732.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  733.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  734.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  735.    wt: 3:   F. The student teacher tutor feedback loop
  736.    wt: 3:   C. Domino effect of being careful
  737.    wt: 3:   B. Domino effect of errors
  738.    wt: 3:   How to Build Skills and Confidence
  739.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  740.    wt: 2:   Appendix 2 primary school Arithmetic 01
  741.    wt: 2:   Appendix 1 primary and preschool mathematic
  742.    wt: 2:   K LAMP Musings Science Education
  743.    wt: 2:   J LAMP Introduction Extrinsic Origins
  744.    wt: 2:   I LAMP Introduction Study Habits
  745.    wt: 2:   H LAMP Introduction Instructional Concepts
  746.    wt: 2:   G LAMP Introduction Problem Solving Skills
  747.    wt: 2:   F LAMP Introduction Prerequisites
  748.    wt: 2:   E LAMP Introduction Modern Mathematics
  749.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  750.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  751.    wt: 2:   A Introduction Objectives
  752.    wt: 2:   Skills Chapter 5 Calculus
  753.    wt: 2:   Ramblings Extrinsic numbers theory
  754.    wt: 2:   Skills Chapter 0 Introduction
  755.    wt: 2:   11 pure mathematics
  756.    wt: 2:   10 statistics
  757.    wt: 2:   9 combinatorics probability sets
  758.    wt: 2:   8 analytic geometry etc
  759.    wt: 2:   7 logic review and decimals an odd combination
  760.    wt: 2:   5 logarithms and exponentials etc
  761.    wt: 2:   4 algebra
  762.    wt: 2:   3 Euclidean Geometry Leanly
  763.    wt: 2:   2 arithmetic with signed numbers
  764.    wt: 2:   1 arithmetic with unsigned numbers
  765.    wt: 2:   website reviews
  766.    wt: 2:   three goals to set for students
  767.    wt: 2:   Teach the teachers plus goals
  768.    wt: 2:   permissions for teachers
  769.    wt: 2:   Math Ed if it must be short make it lean effective
  770.    wt: 2:   activities for students
  771.    wt: 2:   Mathematics Education Professors
  772.    wt: 2:   teacher certification
  773.    wt: 2:   what should be learnt and When
  774.    wt: 2:   Postscript 2007 01 10
  775.    wt: 2:   Secondary Two Mathematics
  776.    wt: 2:   teaching tips
  777.    wt: 2:   Operational Viewpoint to Value
  778.    wt: 2:   formal or informal peer review
  779.    wt: 2:   Theory of Knowledge
  780.    wt: 2:   Different Kinds of Reasoning in maths
  781.    wt: 2:   three kinds of reason in mathematics
  782.    wt: 2:   Four ways to improve education reform
  783.    wt: 2:   How to be a better instructor
  784.    wt: 2:   need for a mixed mathematics curriculum
  785.    wt: 2:   Leaner mathematics curriculum
  786.    wt: 2:   Prequel In For A Penny In For A Pound
  787.    wt: 2:   education an empirical art
  788.    wt: 2:   fairness and inductive principles for instruction
  789.    wt: 2:   words for mathematics instructor
  790.    wt: 2:   liens
  791.    wt: 2:   problemes algebre et arithmetique
  792.    wt: 2:   Trois Notions qui menent a algebre
  793.    wt: 2:   deux definitions pour variable
  794.    wt: 2:   4 Energy Power Heat09
  795.    wt: 2:   3 Energy Power Heat08
  796.    wt: 2:   2 Energy Power Heat07
  797.    wt: 2:   E Energy Power05
  798.    wt: 2:   D Energy Power04
  799.    wt: 2:   C Energy Power03
  800.    wt: 2:   B Energy Power02
  801.    wt: 2:   A Energy Power01
  802.    wt: 2:   1 Conductance Resistance Duality01
  803.    wt: 2:   F Wire Resistance Calculation04
  804.    wt: 2:   E Wire Resistance Calculation03
  805.    wt: 2:   C Wire Resistance Calculation01
  806.    wt: 2:   B Wire Resistance Qualitative02
  807.    wt: 2:   A Wire Resistance Qualitative01
  808.    wt: 2:   Home Tutoring and Home Schooling
  809.    wt: 2:   sign monoticity analysis example 4
  810.    wt: 2:   sign monoticity analysis example 3
  811.    wt: 2:   sign monoticity analysis example 2
  812.    wt: 2:   sign monoticity analysis example 1
  813.    wt: 2:   20 Interchanging coordinates a reflection
  814.    wt: 2:   15 Sign analysis of functions
  815.    wt: 2:   10 Interval Notation
  816.    wt: 2:   9 Set theory term relation possible origins
  817.    wt: 2:   7 Functions with finite domains
  818.    wt: 2:   5 Function notation for geometric transformations
  819.    wt: 2:   4 Function notation in and beyond mathematics
  820.    wt: 2:   3 Formula or function graphing exercise
  821.    wt: 2:   A Quadratics Summary
  822.    wt: 2:   8 quadratics backward use of various formulas
  823.    wt: 2:   6 quadratics numerical approach
  824.    wt: 2:   4 quadratics difference of two squares
  825.    wt: 2:   3 quadratics factoring by inspection
  826.    wt: 2:   10 Exponential Growth and Decay Models
  827.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  828.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  829.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  830.    wt: 2:   5 Natural Logarithm Calculator Exercises
  831.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  832.    wt: 2:   2 Square Root Simplification a prequel
  833.    wt: 2:   7 Links Lessons Elsewhere
  834.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  835.    wt: 2:   Rewriting algebraic substitution as function substitutions
  836.    wt: 2:   31 basic secant cosecant cotangent trig identities
  837.    wt: 2:   29 secant cosecant and cotangent for acute angles
  838.    wt: 2:   25 tangent double angle formula Slope connection
  839.    wt: 2:   24 tangent Angle Difference Formula
  840.    wt: 2:   21 sine and cosine Half Angle Formulas
  841.    wt: 2:   20 sine and cosine Double Angle Formulas
  842.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  843.    wt: 2:   17G Pythagorean Theorem Converse
  844.    wt: 2:   17E Trig Formulas for dot and cross Products
  845.    wt: 2:   17D cis formulas for sine cosines and tangent
  846.    wt: 2:   17C sine and cosine double triple angle formulas
  847.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  848.    wt: 2:   17A The complex number valued trig function cis
  849.    wt: 2:   15 sine cosine Complementary Angle Relations
  850.    wt: 2:   14 cosine even and sine and tangent are odd
  851.    wt: 2:   11 tangent function undefined when terminal side vertical
  852.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  853.    wt: 2:   7 Translations Rotations Reflections Dilatations
  854.    wt: 2:   4 Similarity Definition with Coordinate
  855.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  856.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  857.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  858.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  859.    wt: 2:   6 GCD from Prime
  860.    wt: 2:   5 Common Divisors 60 45 via Prime
  861.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  862.    wt: 2:   12 GCD 2700 288 via Prime
  863.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  864.    wt: 2:   4 Counting with Trees Product Rule Take I
  865.    wt: 2:   3 Counting with Tables and Trees II
  866.    wt: 2:   1 Counting and Counting Methods I
  867.    wt: 2:   10 dividing signed numbers
  868.    wt: 2:   9 subtracting signed numbers
  869.    wt: 2:   8 multiplying signed numbers
  870.    wt: 2:   7 negative and additive inverse
  871.    wt: 2:   4 signed coordinates for regions in space
  872.    wt: 2:   2 signed and unsigned numbers as coordinates
  873.    wt: 2:   7 Converting or Changing Units
  874.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  875.    wt: 2:   4 Fractions with Units
  876.    wt: 2:   3 Multiplying Units and Numbers
  877.    wt: 2:   2 Equality and Units
  878.    wt: 2:   1 Addition and Subtraction with Units
  879.    wt: 2:   D Remainders Modulo 11 Pair Rule
  880.    wt: 2:   B Integer Long Division Multiple Choices
  881.    wt: 2:   A Associative Law Theorectical Note
  882.    wt: 2:   13 Subtraction with Additive Inverse
  883.    wt: 2:   12 Adding Integers More Examples
  884.    wt: 2:   11 Adding Integers Formulas and Examples
  885.    wt: 2:   10 Integer Multiplication Formulas
  886.    wt: 2:   9 Multiplying Integers
  887.    wt: 2:   5 Zero Movement and Additive Inverses
  888.    wt: 2:   4 Adding Movements wiht opposite directions
  889.    wt: 2:   3 Adding Movements with same direction
  890.    wt: 2:   1 Integers as Coordinates
  891.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  892.    wt: 2:   23 Remainder Arithmetic Modulo 2
  893.    wt: 2:   21 Remainder Arithmetic Modulo 3
  894.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  895.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  896.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  897.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  898.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  899.    wt: 2:   5 Remainder Arithmetic Modulo 5
  900.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  901.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  902.    wt: 2:   1 Remainder Arithmetic Modulo 10
  903.    wt: 2:   19 video Prime Factorization Unique
  904.    wt: 2:   18 video Count Factors given Prime Factorization
  905.    wt: 2:   17 Identify and Count Factors using Primes
  906.    wt: 2:   12 LCD GCD and LCM using Primes
  907.    wt: 2:   11 Efficient Square Rule Use
  908.    wt: 2:   10 video Prime Factorization upto 23 squared
  909.    wt: 2:   9 video Prime Factorization upto 19 squared
  910.    wt: 2:   8 video Prime Factorization upto 19
  911.    wt: 2:   7 Calculator Usage Notes and Cautions
  912.    wt: 2:   5 Prime Factorization and a Square Rule
  913.    wt: 2:   4 video Prime Factorization Introduction
  914.    wt: 2:   3 video Primes and Composites from 9 times table
  915.    wt: 2:   1 video how Products are bigger than factor
  916.    wt: 2:   Long Division Backwards more
  917.    wt: 2:   Long Division Backward
  918.    wt: 2:   Division with Counts and Length
  919.    wt: 2:   Long Division forwards and backwards Example 3
  920.    wt: 2:   Long Division forwards and backwards Example 2
  921.    wt: 2:   Long Division forwards and backwards Example 1
  922.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  923.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  924.    wt: 2:   Video Power Notation in Decimal Expansion
  925.    wt: 2:   Subtraction with J Conversions Example
  926.    wt: 2:   Subtraction Another Video Lesson
  927.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  928.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  929.    wt: 2:   About folder contents
  930.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  931.    wt: 2:   PostScript For and Against Decimal Perspectives
  932.    wt: 2:   Postscript More on Better Performance
  933.    wt: 2:   Postscript For Better Performance
  934.    wt: 2:   Appendix E. How To Study Mathematics and Why
  935.    wt: 2:   Appendix D. What to do in School and Why
  936.    wt: 2:   Appendix C. How to Read
  937.    wt: 2:   Appendix B. How To Learn
  938.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  939.    wt: 2:   Chapter 31 Direct and Indirect Reason
  940.    wt: 2:   Chapter 30 Truth Tables
  941.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  942.    wt: 2:   Chapter 28 Occurrence Tables
  943.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  944.    wt: 2:   Chapter 25. Mathematical Induction Examples
  945.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  946.    wt: 2:   Chapter 23. Notation For Sums
  947.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  948.    wt: 2:   Chapter 21. Third Reading Guide
  949.    wt: 2:   Chapter 20. Degrees and Radians
  950.    wt: 2:   Chapter 19. Functions and Sets
  951.    wt: 2:   Chapter 18. Rules for Algebra
  952.    wt: 2:   Chapter 15. Solving Linear Equations
  953.    wt: 2:   Chapter 13. Second Reading Guide
  954.    wt: 2:   Chapter 12. Shorthand Usage Guide
  955.    wt: 2:   Chapter 11. Why Shorthand
  956.    wt: 2:   Chapter 10 Describing and Changing Calculations
  957.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  958.    wt: 2:   Chapter 8 Three Skills For Algebra
  959.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  960.    wt: 2:   Chapter 10 Transition
  961.    wt: 2:   Chapter 7 Two Treatments of Geometry
  962.    wt: 2:   Foreword
  963.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  964.    wt: 2:   Postscript B More on Story Telling and Reason
  965.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  966.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  967.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  968.    wt: 2:   Chapter 10 Responsibility
  969.    wt: 2:   Chapter 8 Change of Language
  970.    wt: 2:   Chapter 7 Longer Chains of Reason
  971.    wt: 2:   Three Remarks
  972.    wt: 2:   Foreword
  973.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  974.    wt: 2:   S Adding words to algebra
  975.    wt: 2:   R Why Learn Mathematics Skills
  976.    wt: 2:   O On Learning Mathematics and Science
  977.    wt: 2:   N Mathematics Prepare for College Studies
  978.    wt: 2:   M Words to extend arithmetic
  979.    wt: 2:   L Skills with take home value
  980.    wt: 2:   N Improving Marks on Tests and Finals
  981.    wt: 2:   J. More on written work and showing skill
  982.    wt: 2:   I. Logic and language skills
  983.    wt: 2:   H Jigsaw puzzles and problem solving
  984.    wt: 2:   G. Written work formats for developing and showing skill
  985.    wt: 2:   E. When and how to correct errors
  986.    wt: 2:   D. Check work a must with a caution
  987.    wt: 2:   A. Skill has to be seen to believed
  988.    wt: 2:   Chapter 8 Skipped Topics and Why
  989.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  990.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  991.    wt: 2:   Chapter 2 Why Sets
  992.    wt: 2:   Chapter 1 Arithmetic
  993.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  994.    wt: 2:   7 Games and Activities for Instruction
  995.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  996.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  997.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  998.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  999.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  1000.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1001.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1002.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1003.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  1004.    wt: 1:   Skills Chapter 4 Logic
  1005.    wt: 1:   Ramblings Introduction Algebra Essay
  1006.    wt: 1:   Skills Chapter 3 Algebra
  1007.    wt: 1:   Skills Chapter 2 Geometry
  1008.    wt: 1:   Skills Chapter 1 Arithmetic
  1009.    wt: 1:   why bother
  1010.    wt: 1:   which way to go
  1011.    wt: 1:   site origins
  1012.    wt: 1:   site eurekas
  1013.    wt: 1:   About site lesson plans
  1014.    wt: 1:   key notes and themes
  1015.    wt: 1:   modern education
  1016.    wt: 1:   learning takes time
  1017.    wt: 1:   grouping students according to ability
  1018.    wt: 1:   mathematics in context
  1019.    wt: 1:   Education Reform Inconsistencies
  1020.    wt: 1:   five decades make a difference
  1021.    wt: 1:   Maps Plans Drawings
  1022.    wt: 1:   how letters appear
  1023.    wt: 1:   Secondary Three Mathematics
  1024.    wt: 1:   Secondary One Mathematics
  1025.    wt: 1:   talk the algebra talk
  1026.    wt: 1:   three difficulties
  1027.    wt: 1:   What to Tell Students
  1028.    wt: 1:   mathematics curriculum shifts
  1029.    wt: 1:   geometric implications for algebra
  1030.    wt: 1:   teaching tutoring algebraic reason
  1031.    wt: 1:   Lessening Algebra Difficulties
  1032.    wt: 1:   the trouble with algebra
  1033.    wt: 1:   three goals for Mathematics Education
  1034.    wt: 1:   05 13 OldSiteEntrancePage
  1035.    wt: 1:   04 29 New Mathematics Curriculum
  1036.    wt: 1:   04 25 when to stop or suspend mathemat
  1037.    wt: 1:   02 21 words for teachers
  1038.    wt: 1:   02 20 mathematics education references
  1039.    wt: 1:   three aims for mathematics students
  1040.    wt: 1:   standards for course material
  1041.    wt: 1:   mathematics instruction in general
  1042.    wt: 1:   Education in mathematics science and technology
  1043.    wt: 1:   cultivating intelligence
  1044.    wt: 1:   problemes responses
  1045.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  1046.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  1047.    wt: 1:   23 Inverse Functions
  1048.    wt: 1:   22 Square Root function graphically
  1049.    wt: 1:   19 Horizontal line rule and method
  1050.    wt: 1:   18 Vertical Line Rule and Method
  1051.    wt: 1:   17 Function maxima minima and their location
  1052.    wt: 1:   14 Surjections Injections Bijections
  1053.    wt: 1:   13 From one to one to many to one
  1054.    wt: 1:   12 Function Domain Recognition Exercises
  1055.    wt: 1:   11 Function Domain Range Source and Targets
  1056.    wt: 1:   10 quadratic exercises
  1057.    wt: 1:   9 quadratics physical and further context
  1058.    wt: 1:   7 quadratic formulla derivation
  1059.    wt: 1:   5 quadratics completing the square
  1060.    wt: 1:   2 quadratics graphing in general
  1061.    wt: 1:   1 quadratics graphing exercises
  1062.    wt: 1:   11 Growth and Decay in Biology
  1063.    wt: 1:   8 Notes for instructors or tutors
  1064.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  1065.    wt: 1:   4 Polynomials Long division linear divisor
  1066.    wt: 1:   3 Polynomials Multiplication Addition
  1067.    wt: 1:   2 Column Multiplication Method
  1068.    wt: 1:   1 Polynomials Distributive Law
  1069.    wt: 1:   5 Square Roots with primes more still
  1070.    wt: 1:   4 Square Roots with primes more
  1071.    wt: 1:   2 Square Roots with Prime
  1072.    wt: 1:   1 Squares and Square Roots Introduction
  1073.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  1074.    wt: 1:   4 LCM of 8 and 10 via Prime
  1075.    wt: 1:   2 Least Common Multiple LCM intro via list method
  1076.    wt: 1:   11 What are real lengths and numbers
  1077.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  1078.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  1079.    wt: 1:   11 Place Value SI Standard International way
  1080.    wt: 1:   Exact Arithmetic Wholes and Fractions
  1081.    wt: 1:   Formula Evaluation how to show work
  1082.    wt: 1:   Expression Evaluation how to show work
  1083.    wt: 1:   The 20 Times Table
  1084.    wt: 1:   The 12 Times Table Visually
  1085.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  1086.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  1087.    wt: 1:   Postscript What is a Variable
  1088.    wt: 1:   Solutions For Arithmetic Exercises
  1089.    wt: 1:   Annotated Links to Material Elsehwere
  1090.    wt: 1:   Postscript B Mathematics Education References
  1091.    wt: 1:   Postscript A Three Remarks
  1092.    wt: 1:   Chapter 12 Four Phases
  1093.    wt: 1:   Chapter 11 Elementary Instruction
  1094.    wt: 1:   Chapter 9 The Two Ends
  1095.    wt: 1:   Chapter 8 Modern Instruction
  1096.    wt: 1:   Chapter 5 Four References
  1097.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1098.    wt: 1:   Chapter 3 Algebra Difficulties
  1099.    wt: 1:   Chapter 2 For and Against Mathematics
  1100.    wt: 1:   Chapter 1 Introduction
  1101.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1102.    wt: 1:   Postscript A Story Telling
  1103.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1104.    wt: 1:   Chapter 23 Truth Tables
  1105.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1106.    wt: 1:   Chapter 21 Occurrence Tables
  1107.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1108.    wt: 1:   Chapter 18 Sense and Knowledge
  1109.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1110.    wt: 1:   Chapter 15 Objective Processes
  1111.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1112.    wt: 1:   Chapter 11 Accidental Patterns
  1113.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1114.    wt: 1:   Chapter 5 Deception
  1115.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  1116.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1117.    wt: 1:   Chapter 2 Skill Development
  1118.    wt: 1:   Chapter 1 Introduction
  1119.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1120.    wt: 1:   H more Routine to non routine problem solving
  1121.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  1122.    wt: 1:   Implementation Notes
  1123.    wt: 1:   More Algebra and Slope based Calculus Preview
  1124.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1125.    wt: 1:   Which Way To Go
  1126.    wt: 1:   Road Safety Questions
  1127.    wt: 1:   The Math Forum and Site Content
  1128.    wt: 1:   Site Reviews
  1129.    wt: 13:   Volume of Solid by Cross Sections Lesson
  1130.    wt: 10:   Example 2 volume of a cone
  1131.    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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