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

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

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  1.    wt: 6:   5 Lessons on Integration/
  2.    wt: 6:   4 Lessons on Using Derivatives/
  3.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  4.    wt: 5:   38 Lessons on Calculating Derivatives/
  5.    wt: 5:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   Step 4 Gaussian Elimination/
  7.    wt: 4:   70 Calculus Starter Lessons/
  8.    wt: 3:   10 Examples of Algebraic Reasoning/
  9.    wt: 3:   4 Computation Rules and Function Notation/
  10.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  11.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  12.    wt: 2:   4 Functions/
  13.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  14.    wt: 2:   4 Lines and Slopes Take 1/
  15.    wt: 2:   B Real Numbers Extrinsic Development/
  16.    wt: 2:   A Origins of Counting and Figuring Methods/
  17.    wt: 2:   9 Proportionality Backwards and Forwards/
  18.    wt: 2:   8 Unifying Theme For Algebra/
  19.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  20.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  21.    wt: 2:   5 Real Numbers/
  22.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  23.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  24.    wt: 2:   Step 1 Stick diagram and fractions/
  25.    wt: 2:   3 Solving Linear Equations/
  26.    wt: 2:   2 Formula Forward Use Evaluation/
  27.    wt: 2:   1 Working With Sets/
  28.    wt: 2:   Algebra Starter Lessons/
  29.    wt: 2:   D Decimal Long Division Methods/
  30.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  31.    wt: 2:   Volume 3 Why Slopes A Calculus Intro Etc/
  32.    wt: 2:   Volume 2 Three Skills For Algebra/
  33.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  34.    wt: 1:   11 Squares and Square Roots/
  35.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  36.    wt: 1:   9 Combinatorics Trees Tables and Products/
  37.    wt: 1:   8 Arithmetic with Signed Numbers/
  38.    wt: 1:   7 Arithmetic and Fractions with Units/
  39.    wt: 1:   6 Fractions and Ratios/
  40.    wt: 1:   5 Integers/
  41.    wt: 1:   3 Prime Factorization Skills/
  42.    wt: 1:   C Decimal Multiplication Methods/
  43.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  44.    wt: 1:   A Decimal Counting and Adding Methods/
  45.    wt: 1:   2 Arithmetic with Decimals/
  46.    wt: 1:   1 Decimal Place Value/
  47.    wt: 1:   Arithmetic and Number Theory Skills/
  48.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  49.    wt: 1:   Volume 1A Pattern Based Reason/
  50.    wt: 1:   Volume 1 Elements of Reason/
  51.    wt: 1:   Mathematics 506 Lessons/
  52.    wt: 1:   Secondary Mathematics A Practical Approach/
  53.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

224 matches:

  1.    wt: 2:   chapitre 04 04 Parlons de la logique
  2.    wt: 2:   sign monoticity analysis example 4
  3.    wt: 2:   4 graphing y=Asin(x c)
  4.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  6.    wt: 2:   4 Rational Numbers
  7.    wt: 2:   4 GE III Animated Examples
  8.    wt: 2:   4 Four Examples Fractional Coefficients
  9.    wt: 2:   4 Two Examples
  10.    wt: 2:   4 Circle Area Formula Example
  11.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  12.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  13.    wt: 2:   14 video Factors of 24 Take II
  14.    wt: 2:   Example 4 with x function of y
  15.    wt: 2:   4 Second derivative test exercise example
  16.    wt: 2:   24 Chain Rule Animated Examples
  17.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  18.    wt: 2:   Chapter 3 Algebra Starter Lessons
  19.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  20.    wt: 1:   Skills Chapter 5 Calculus
  21.    wt: 1:   Skills Chapter 4 Logic
  22.    wt: 1:   4 algebra
  23.    wt: 1:   Applied Maths Program14092009 POMME variant
  24.    wt: 1:   04 29 New Mathematics Curriculum
  25.    wt: 1:   04 25 when to stop or suspend mathemat
  26.    wt: 1:   Operational Viewpoint to Value
  27.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  28.    wt: 1:   chapitre 04 09 Regles accidentelles
  29.    wt: 1:   chapitre 04 08 Limitations et benefices
  30.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  31.    wt: 1:   chapitre 04 06 engagements
  32.    wt: 1:   chapitre 04 05 Implication versus suggestion
  33.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  34.    wt: 1:   chapitre 04 02 Deuxieme enigme
  35.    wt: 1:   chapitre 04 01 Premiere enigme
  36.    wt: 1:   chapitre 04 00 Les regles d implication
  37.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  38.    wt: 1:   4 Energy Power Heat09
  39.    wt: 1:   D Energy Power04
  40.    wt: 1:   F Wire Resistance Calculation04
  41.    wt: 1:   24 Standards For Skill Develoment Take II
  42.    wt: 1:   24 Standards For Skill Develoment
  43.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  44.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  45.    wt: 1:   14 Multiplication and Times Tables
  46.    wt: 1:   4 Learning Takes Time and Effort
  47.    wt: 1:   Ages 12 to 14 Skills with take home value
  48.    wt: 1:   Ages 12 to 14 Geometry
  49.    wt: 1:   Ages 12 to 14 Arithmetic
  50.    wt: 1:   Ages 4 plus to 5 plus
  51.    wt: 1:   Ages 3 plus to 4 plus
  52.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  53.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  54.    wt: 1:   sign monoticity analysis example 3
  55.    wt: 1:   sign monoticity analysis example 2
  56.    wt: 1:   sign monoticity analysis example 1
  57.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  58.    wt: 1:   14 Surjections Injections Bijections
  59.    wt: 1:   4 Function notation in and beyond mathematics
  60.    wt: 1:   3 Formula or function graphing exercise
  61.    wt: 1:   4 quadratics difference of two squares
  62.    wt: 1:   2 quadratics graphing in general
  63.    wt: 1:   1 quadratics graphing exercises
  64.    wt: 1:   1 Calculator Starter Exercises
  65.    wt: 1:   7 Links Lessons Elsewhere
  66.    wt: 1:   4 Polynomials Long division linear divisor
  67.    wt: 1:   14 secant function Definition Graph and Inverse
  68.    wt: 1:   4 possible motivation for term arccos
  69.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  70.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  71.    wt: 1:   4 Resultant of a Sum of Movements
  72.    wt: 1:   3 graphing y=f(x c) plus K
  73.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  74.    wt: 1:   1 graphing y=f(x a)
  75.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  76.    wt: 1:   14 Straight Lines Equations General Case
  77.    wt: 1:   12 Straight Lines Graphing mx plus b
  78.    wt: 1:   11 Straight Lines Graphing y=mx
  79.    wt: 1:   4 Tangent Function Properties
  80.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  81.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  82.    wt: 1:   24 tangent Angle Difference Formula
  83.    wt: 1:   14 cosine even and sine and tangent are odd
  84.    wt: 1:   14 Law of cosines
  85.    wt: 1:   4 Multiplication Properties
  86.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  87.    wt: 1:   4 Similarity Definition with Coordinate
  88.    wt: 1:   12 Links Lessons elsewhere
  89.    wt: 1:   4 Equations for lines three forms
  90.    wt: 1:   4 Polar Coordinates to and from
  91.    wt: 1:   14 Parallel Lines Postulate
  92.    wt: 1:   4 Side Side Side
  93.    wt: 1:   4 Angles on Maps Plans drawn to scale
  94.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  95.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  96.    wt: 1:   4 Location of Point in Decimal Addition
  97.    wt: 1:   7 Decimals Multiplication Methods Examples
  98.    wt: 1:   4 Commutative Law Groups Counting Form
  99.    wt: 1:   4 Fraction Operations Axiomatic Development
  100.    wt: 1:   4 Rates Ratios and Proporitionality
  101.    wt: 1:   3 Proportionality Examples
  102.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  103.    wt: 1:   4 Subtraction and Division Axioms
  104.    wt: 1:   4 Comparison of Negative Numbers
  105.    wt: 1:   14 Real Number Multiplication
  106.    wt: 1:   5 Rational Numbers More
  107.    wt: 1:   4 Changing Letters
  108.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  109.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  110.    wt: 1:   1 GE Substitution four examples
  111.    wt: 1:   4 Solving a triangular system exercise
  112.    wt: 1:   3 Solving triangular system example
  113.    wt: 1:   6 Algebraic Solution Example
  114.    wt: 1:   3 Four Examples
  115.    wt: 1:   2 Three Examples
  116.    wt: 1:   10 One Example
  117.    wt: 1:   9 Three Examples
  118.    wt: 1:   8 One Example
  119.    wt: 1:   7 Two Examples
  120.    wt: 1:   6 Three Examples
  121.    wt: 1:   5 Three Examples
  122.    wt: 1:   3 Two Examples
  123.    wt: 1:   2 Three Examples
  124.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  125.    wt: 1:   5 Box Volume Formula Example
  126.    wt: 1:   3 Triangle Area Formula Example
  127.    wt: 1:   2 Another Rectangle Area Formula Example
  128.    wt: 1:   4 Subset Builder Notation
  129.    wt: 1:   4 A Brief Story of numbers and algebra
  130.    wt: 1:   4 Greater More Less Than Signs in General
  131.    wt: 1:   4 Square Roots with primes more
  132.    wt: 1:   3 Properties of Square Roots with example
  133.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  134.    wt: 1:   5 Common Divisors 60 45 via Prime
  135.    wt: 1:   4 LCM of 8 and 10 via Prime
  136.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  137.    wt: 1:   4 Counting with Trees Product Rule Take I
  138.    wt: 1:   4 signed coordinates for regions in space
  139.    wt: 1:   4 Fractions with Units
  140.    wt: 1:   14 Adding and Subtracting with Like Denominators
  141.    wt: 1:   4 Fraction Multiplication
  142.    wt: 1:   12 Adding Integers More Examples
  143.    wt: 1:   11 Adding Integers Formulas and Examples
  144.    wt: 1:   4 Adding Movements wiht opposite directions
  145.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  146.    wt: 1:   26 Divisibility by 2 3 5 Example
  147.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  148.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  149.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  150.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  151.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  152.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  153.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  154.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  155.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  156.    wt: 1:   13 video Factors of 24 using prime
  157.    wt: 1:   4 video Prime Factorization Introduction
  158.    wt: 1:   Long Division forwards and backwards Example 3
  159.    wt: 1:   Long Division forwards and backwards Example 2
  160.    wt: 1:   Long Division forwards and backwards Example 1
  161.    wt: 1:   11 Another Single Digit Divisor Example
  162.    wt: 1:   4 Division with 2 Digit Divsors
  163.    wt: 1:   3 Division Single Digit Divisor Example
  164.    wt: 1:   1 Divsion Physical Examples
  165.    wt: 1:   4 Two and Three Digit Multipliers
  166.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  167.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  168.    wt: 1:   Subtraction with J Conversions Example
  169.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  170.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  171.    wt: 1:   2 Subtraction Easy Case Examples
  172.    wt: 1:   5. How to add decimals C. Examples
  173.    wt: 1:   4. How to add with decimals B with conversions
  174.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  175.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  176.    wt: 1:   014 Counting Days with Calendars
  177.    wt: 1:   4 Mixing and Changing Units of Time
  178.    wt: 1:   Example 2 volume of a cone
  179.    wt: 1:   Example 1 volume of a pyramid
  180.    wt: 1:   Example 1. Area Between x and x squared
  181.    wt: 1:   Example 3
  182.    wt: 1:   Example 2
  183.    wt: 1:   Example 1
  184.    wt: 1:   4 Definite Integrals Evaluation Exercises
  185.    wt: 1:   A Related lessons in Volume 3
  186.    wt: 1:   A Chain Rule Real Player video examples
  187.    wt: 1:   34 Derivative of exponential function
  188.    wt: 1:   33 Chain Rule Real Player video examples
  189.    wt: 1:   25 Chain Rule Animated Examples Continued
  190.    wt: 1:   14 sine and cosine derivatives 2nd step
  191.    wt: 1:   12 Quotient rule examples
  192.    wt: 1:   7 Animated Differentiation Examples
  193.    wt: 1:   4 Sum Rule
  194.    wt: 1:   11 Limits at infinity Three Examples
  195.    wt: 1:   8 Four Animated Examples
  196.    wt: 1:   4 Numerical properties
  197.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  198.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  199.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  200.    wt: 1:   F.4 Finite Covering Theorem
  201.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  202.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  203.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  204.    wt: 1:   Chapter 11. Graphing Slope versus Position
  205.    wt: 1:   Chapter 9 About First Courses in Calculus
  206.    wt: 1:   Chapter 4. More Slope Sign Analysis
  207.    wt: 1:   Fall 1983 Calculus Appetizer
  208.    wt: 1:   Chapter 25. Mathematical Induction Examples
  209.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  210.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  211.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  212.    wt: 1:   Chapter 4 Longer Chains of Reason
  213.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  214.    wt: 1:   Chapter 24 Direct and Indirect Reason
  215.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  216.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  217.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  218.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  219.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  220.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  221.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  222.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  223.    wt: 1:   More Algebra and Slope based Calculus Preview
  224.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

768 matches:

  1.    wt: 8:   Example 4 with x function of y
  2.    wt: 8:   4 Second derivative test exercise example
  3.    wt: 8:   24 Chain Rule Animated Examples
  4.    wt: 7:   4 GE III Animated Examples
  5.    wt: 7:   4 Definite Integrals Evaluation Exercises
  6.    wt: 7:   2 Indefinite Integrals Exercises
  7.    wt: 7:   A Related lessons in Volume 3
  8.    wt: 7:   3 Second derivative test
  9.    wt: 7:   34 Derivative of exponential function
  10.    wt: 7:   33 Chain Rule Real Player video examples
  11.    wt: 7:   25 Chain Rule Animated Examples Continued
  12.    wt: 7:   14 sine and cosine derivatives 2nd step
  13.    wt: 6:   Example 2 volume of a cone
  14.    wt: 6:   Example 1 volume of a pyramid
  15.    wt: 6:   Example 1. Area Between x and x squared
  16.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  17.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  18.    wt: 6:   Example 3
  19.    wt: 6:   Example 2
  20.    wt: 6:   Example 1
  21.    wt: 6:   A Related Material in Volume 3
  22.    wt: 6:   5 Area Under Curve Exercise
  23.    wt: 6:   3 Two Chain Rule Method Exercises
  24.    wt: 6:   1 Chain Rule in Reverse Integration Method
  25.    wt: 6:   2 Second derivative test prequel
  26.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  27.    wt: 6:   A Chain Rule Real Player video examples
  28.    wt: 6:   23 Chain Rule in general
  29.    wt: 6:   17 Derivatives of quotients of sine and cosine
  30.    wt: 6:   13 sine and cosine derivatives 1st step
  31.    wt: 6:   12 Quotient rule examples
  32.    wt: 6:   7 Animated Differentiation Examples
  33.    wt: 6:   6 Power rule from product rule
  34.    wt: 6:   4 Sum Rule
  35.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  36.    wt: 6:   11 Limits at infinity Three Examples
  37.    wt: 6:   8 Four Animated Examples
  38.    wt: 6:   4 Numerical properties
  39.    wt: 5:   sign monoticity analysis example 4
  40.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  41.    wt: 5:   3 Gaussian Elimination 3 unknowns first example
  42.    wt: 5:   1 GE Substitution four examples
  43.    wt: 5:   4 Four Examples Fractional Coefficients
  44.    wt: 5:   4 Two Examples
  45.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  46.    wt: 5:   24 Divisibility Tests for 2 3 5 9 10
  47.    wt: 5:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  48.    wt: 5:   16 Remainder Arithmetic Modulo 9 Example 2
  49.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  50.    wt: 5:   Volume of Solid by Cross Sections Lesson
  51.    wt: 5:   Area Between Curves Lesson Take 2
  52.    wt: 5:   Area Between Curves Lesson Take 1
  53.    wt: 5:   Summary
  54.    wt: 5:   38 Formulas and derivatives for powers and roots
  55.    wt: 5:   36 Cube root derivative animated
  56.    wt: 5:   31 Derivatives of inverse functions
  57.    wt: 5:   30Chain Rule A Proof
  58.    wt: 5:   29 Chain Rule Optional Reading
  59.    wt: 5:   28 Chain Rule Preparation for a Proof
  60.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  61.    wt: 5:   26 Chain Rule Recognising outer inner functions
  62.    wt: 5:   22 Chain Rule for polynomials
  63.    wt: 5:   21 Chain Rule for powers
  64.    wt: 5:   20 Chain Rule for Pulley Systems
  65.    wt: 5:   19 Chain Rule for linear functions
  66.    wt: 5:   18 Chain Rule Introduction
  67.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  68.    wt: 5:   15 sine and cosine derivatives 3rd step
  69.    wt: 5:   11 Quotient rule
  70.    wt: 5:   10 Power rule for negative integers
  71.    wt: 5:   9 Reciprocal rule
  72.    wt: 5:   8 Differentiation of polynomials
  73.    wt: 5:   5 Product Rule
  74.    wt: 5:   3 Motivation for Limit Definition Take 2
  75.    wt: 5:   2 Motivation for Limit Definition Take 1
  76.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  77.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  78.    wt: 5:   10 Three one sided limits with infinite values
  79.    wt: 5:   9 Limits Continuity and Composition
  80.    wt: 5:   7 Evaluation by immediate or delayed substitution
  81.    wt: 5:   6 Continuity at a point
  82.    wt: 5:   5 Jumps and absence of unlimited error control
  83.    wt: 5:   3 Decimal insights for limits continuity convergence
  84.    wt: 5:   2 Algebraic codification
  85.    wt: 5:   1 Numerical introduction
  86.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  87.    wt: 4:   14 Surjections Injections Bijections
  88.    wt: 4:   4 Function notation in and beyond mathematics
  89.    wt: 4:   4 Circle Sector Area proportional to Central Angle
  90.    wt: 4:   4 Equations for lines three forms
  91.    wt: 4:   4 Commutative Law Groups Counting Form
  92.    wt: 4:   4 Fraction Operations Axiomatic Development
  93.    wt: 4:   4 Rates Ratios and Proporitionality
  94.    wt: 4:   4 Rational Numbers
  95.    wt: 4:   4 Changing Letters
  96.    wt: 4:   3 GE III Equation Addition and Multiplication
  97.    wt: 4:   2 GE II Comparison
  98.    wt: 4:   4 Solving a triangular system exercise
  99.    wt: 4:   4 Circle Area Formula Example
  100.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  101.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  102.    wt: 4:   26 Divisibility by 2 3 5 Example
  103.    wt: 4:   23 Remainder Arithmetic Modulo 2
  104.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  105.    wt: 4:   21 Remainder Arithmetic Modulo 3
  106.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  107.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  108.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  109.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  110.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  111.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  112.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  113.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  114.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  115.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  116.    wt: 4:   14 video Factors of 24 Take II
  117.    wt: 4:   4 Division with 2 Digit Divsors
  118.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  119.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  120.    wt: 4:   Chapter 4. More Slope Sign Analysis
  121.    wt: 4:   Appendix D. What to do in School and Why
  122.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  123.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  124.    wt: 4:   Chapter 4 Longer Chains of Reason
  125.    wt: 3:   sign monoticity analysis example 3
  126.    wt: 3:   sign monoticity analysis example 2
  127.    wt: 3:   sign monoticity analysis example 1
  128.    wt: 3:   3 Formula or function graphing exercise
  129.    wt: 3:   Four Simple Exercises
  130.    wt: 3:   12 Links Lessons elsewhere
  131.    wt: 3:   A Modular and Remainder Arithmetic
  132.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  133.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  134.    wt: 3:   4 Location of Point in Decimal Addition
  135.    wt: 3:   7 Decimals Multiplication Methods Examples
  136.    wt: 3:   5 Areas of Rectangles Revisited
  137.    wt: 3:   3 Inequalities Algebraically
  138.    wt: 3:   2 Fraction Operations Physical Development
  139.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  140.    wt: 3:   3 Proportionality Examples
  141.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  142.    wt: 3:   4 Subtraction and Division Axioms
  143.    wt: 3:   4 Comparison of Negative Numbers
  144.    wt: 3:   14 Real Number Multiplication
  145.    wt: 3:   5 Rational Numbers More
  146.    wt: 3:   5 Independent versus Dependent Variables
  147.    wt: 3:   3 Geometric Formulas and Function Notation
  148.    wt: 3:   2 Computation Rules Evaluation
  149.    wt: 3:   1 Formulas Dependence and Function Notation
  150.    wt: 3:   Simple Exercises
  151.    wt: 3:   3 Solving triangular system example
  152.    wt: 3:   6 Algebraic Solution Example
  153.    wt: 3:   3 Four Examples
  154.    wt: 3:   2 Three Examples
  155.    wt: 3:   10 One Example
  156.    wt: 3:   9 Three Examples
  157.    wt: 3:   8 One Example
  158.    wt: 3:   7 Two Examples
  159.    wt: 3:   6 Three Examples
  160.    wt: 3:   5 Three Examples
  161.    wt: 3:   3 Two Examples
  162.    wt: 3:   2 Three Examples
  163.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  164.    wt: 3:   5 Box Volume Formula Example
  165.    wt: 3:   3 Triangle Area Formula Example
  166.    wt: 3:   2 Another Rectangle Area Formula Example
  167.    wt: 3:   4 Subset Builder Notation
  168.    wt: 3:   4 A Brief Story of numbers and algebra
  169.    wt: 3:   4 Greater More Less Than Signs in General
  170.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  171.    wt: 3:   4 signed coordinates for regions in space
  172.    wt: 3:   4 Fraction Multiplication
  173.    wt: 3:   4 Adding Movements wiht opposite directions
  174.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  175.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  176.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  177.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  178.    wt: 3:   5 Remainder Arithmetic Modulo 5
  179.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  180.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  181.    wt: 3:   1 Remainder Arithmetic Modulo 10
  182.    wt: 3:   4 video Prime Factorization Introduction
  183.    wt: 3:   Long Division Backwards more
  184.    wt: 3:   Long Division forwards and backwards Example 3
  185.    wt: 3:   Long Division forwards and backwards Example 2
  186.    wt: 3:   Long Division forwards and backwards Example 1
  187.    wt: 3:   11 Another Single Digit Divisor Example
  188.    wt: 3:   3 Division Single Digit Divisor Example
  189.    wt: 3:   1 Divsion Physical Examples
  190.    wt: 3:   4 Two and Three Digit Multipliers
  191.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 3:   Subtraction with J Conversions Example
  193.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  194.    wt: 3:   4. How to add with decimals B with conversions
  195.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  196.    wt: 3:   G.2 Lipshitz Conditions Integration Calculus Reform
  197.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  198.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  199.    wt: 3:   F.5b Extreme Value Theorem
  200.    wt: 3:   F.4 Finite Covering Theorem
  201.    wt: 3:   C Triangle Inequalities
  202.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  203.    wt: 3:   Chapter 11. Graphing Slope versus Position
  204.    wt: 3:   Chapter 9 About First Courses in Calculus
  205.    wt: 3:   Fall 1983 Calculus Appetizer
  206.    wt: 3:   Appendix E. How To Study Mathematics and Why
  207.    wt: 3:   Appendix C. How to Read
  208.    wt: 3:   Appendix B. How To Learn
  209.    wt: 3:   Appendix A. Reading Guide For Next Appendices
  210.    wt: 3:   Chapter 25. Mathematical Induction Examples
  211.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  212.    wt: 3:   Chapter 4 Complex Numbers and Why Slopes
  213.    wt: 3:   Chapter 24 Direct and Indirect Reason
  214.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  215.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  216.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  217.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  218.    wt: 3:   Chapter 3 Algebra Starter Lessons
  219.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  220.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  221.    wt: 2:   Skills Chapter 4 Logic
  222.    wt: 2:   4 algebra
  223.    wt: 2:   chapitre 04 04 Parlons de la logique
  224.    wt: 2:   D Energy Power04
  225.    wt: 2:   24 Standards For Skill Develoment Take II
  226.    wt: 2:   24 Standards For Skill Develoment
  227.    wt: 2:   14 Multiplication and Times Tables
  228.    wt: 2:   4 Learning Takes Time and Effort
  229.    wt: 2:   Ages 4 plus to 5 plus
  230.    wt: 2:   26 Function definitions done and coming
  231.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  232.    wt: 2:   23 Inverse Functions
  233.    wt: 2:   22 Square Root function graphically
  234.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  235.    wt: 2:   20 Interchanging coordinates a reflection
  236.    wt: 2:   19 Horizontal line rule and method
  237.    wt: 2:   18 Vertical Line Rule and Method
  238.    wt: 2:   17 Function maxima minima and their location
  239.    wt: 2:   16 Increasing or decreasing on intervals
  240.    wt: 2:   15 Sign analysis of functions
  241.    wt: 2:   13 From one to one to many to one
  242.    wt: 2:   12 Function Domain Recognition Exercises
  243.    wt: 2:   11 Function Domain Range Source and Targets
  244.    wt: 2:   10 Interval Notation
  245.    wt: 2:   9 Set theory term relation possible origins
  246.    wt: 2:   8 Set view of relations and functions
  247.    wt: 2:   7 Functions with finite domains
  248.    wt: 2:   6 Set Existence Formation and Notation
  249.    wt: 2:   5 Function notation for geometric transformations
  250.    wt: 2:   2 Algebraic use of function notation
  251.    wt: 2:   1 Geometric Introduction of Function Notation
  252.    wt: 2:   Introduction Reading Guide
  253.    wt: 2:   9 Summary Degrees to Radians and back
  254.    wt: 2:   8 Radian Measures of Common Angles
  255.    wt: 2:   7 Radian Measures in special Triangles
  256.    wt: 2:   6 Radian Measure to Degrees
  257.    wt: 2:   5 Degrees to Radian Measure
  258.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  259.    wt: 2:   2 Radian Measure Numerical Value of one degree
  260.    wt: 2:   1 Degrees and Radians Introduction
  261.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  262.    wt: 2:   4 Resultant of a Sum of Movements
  263.    wt: 2:   4 graphing y=Asin(x c)
  264.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  265.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  266.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  267.    wt: 2:   14 Law of cosines
  268.    wt: 2:   4 Multiplication Properties
  269.    wt: 2:   4 Similarity Definition with Coordinate
  270.    wt: 2:   11 A Partial Summary
  271.    wt: 2:   10 Midpoint of [a b] and [b a]
  272.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  273.    wt: 2:   8 Mid Point Formula
  274.    wt: 2:   7 Exercises to test skill and concept mastery
  275.    wt: 2:   6 Intersection of lines by solving linear systems
  276.    wt: 2:   5 Algebraic View of Slopes
  277.    wt: 2:   3 Slope product for perpendicular lines
  278.    wt: 2:   2 point slope equation for a line
  279.    wt: 2:   1 Numerical view of lines and their equations
  280.    wt: 2:   What is and is not here
  281.    wt: 2:   4 Polar Coordinates to and from
  282.    wt: 2:   14 Parallel Lines Postulate
  283.    wt: 2:   4 Side Side Side
  284.    wt: 2:   musings do not puiblish real numbers
  285.    wt: 2:   A Signed Number Arithmetic Review
  286.    wt: 2:   26 More Less Greater Than Comparison
  287.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  288.    wt: 2:   23 Distributive Law Two Derivations
  289.    wt: 2:   22 Multiplication of Signed Numbers
  290.    wt: 2:   21 Addition of Multiples of a Single Vector
  291.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  292.    wt: 2:   19 Signed Multiples of Vectors
  293.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  294.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  295.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  296.    wt: 2:   15 Head to Tails in place Addition Associative
  297.    wt: 2:   13 Arrows and Vectors in a Plane
  298.    wt: 2:   12 Real Numbers Line Signed Coordinates
  299.    wt: 2:   11 Signed Number Addition and Addition Properties
  300.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  301.    wt: 2:   9 Division with Digits after Decimal Point
  302.    wt: 2:   8 Division and Mulplication of Compound Fractions
  303.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  304.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  305.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  306.    wt: 2:   3 Location of Point in Decimal Multiplication
  307.    wt: 2:   2 Counting Digits in Decimal Multiplication
  308.    wt: 2:   1 Fractions with Finite Decimal Expansions
  309.    wt: 2:   E Long Division Methods more
  310.    wt: 2:   D Long Division Methods
  311.    wt: 2:   C Three Decimal Subtraction Methods
  312.    wt: 2:   B Decimal Comparison and Subtraction
  313.    wt: 2:   A Decimal Addition Columm Methods
  314.    wt: 2:   8 Column Multiplication Methods in General
  315.    wt: 2:   6 Column Methods for Decimal Multiplication
  316.    wt: 2:   5 Distributive Law for Whole Numbers
  317.    wt: 2:   3 Multiplicative Counting Skills Principles
  318.    wt: 2:   2 Combing Counts Addition Skills and Principles
  319.    wt: 2:   1 The Counting Origins of Numbers
  320.    wt: 2:   5 Proportionality in Equivalent Fractions
  321.    wt: 2:   2 Algebraic View
  322.    wt: 2:   1 What is Proportionality
  323.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  324.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  325.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  326.    wt: 2:   6 Compound Interest Forward and Backwards
  327.    wt: 2:   5 Triangle Area Formula Backwards
  328.    wt: 2:   3 Linear Equation Literal Solution More
  329.    wt: 2:   2 Linear Equation Literal Solution
  330.    wt: 2:   1 Changing Calculations
  331.    wt: 2:   6 Equations and Systems Equivalent or Implied
  332.    wt: 2:   5 Equality in Algebra
  333.    wt: 2:   3 Product Axioms Two Forms
  334.    wt: 2:   2 Addition and Multiplication Axioms
  335.    wt: 2:   1 Equivalent Computation Rules
  336.    wt: 2:   5 Greater More Less Than Signs in General
  337.    wt: 2:   3 More and Less Than with Unlike Signs
  338.    wt: 2:   2 More and Less Than for Counts and Measures
  339.    wt: 2:   1 Real Numbers Comparison
  340.    wt: 2:   16 Real Numbers Comparison
  341.    wt: 2:   15 Real Number Division
  342.    wt: 2:   13 Real Number Subtraction
  343.    wt: 2:   12 Real Number Additive Inverses or Negatives
  344.    wt: 2:   11 Real Number Addition
  345.    wt: 2:   10 Real Number Lengths and Signs
  346.    wt: 2:   9 Coordinates for Regions in Space
  347.    wt: 2:   8 Coordinates for Maps and Planes
  348.    wt: 2:   7 Real Numbers as Line Cordinates
  349.    wt: 2:   6 Unsigned Real Numbers
  350.    wt: 2:   3 Fractions
  351.    wt: 2:   2 Integers
  352.    wt: 2:   1 Whole and Natural Numbers
  353.    wt: 2:   More Exercises
  354.    wt: 2:   2 Essentially one exercises three with solution
  355.    wt: 2:   1 Essentially One Unknown
  356.    wt: 2:   5 Algebraic Solutions Introduction
  357.    wt: 2:   1 Proper Equal Sign Usage
  358.    wt: 2:   Skill Development Notes
  359.    wt: 2:   Using Letters for Physical Quantities
  360.    wt: 2:   Formula Usage Show Work Format
  361.    wt: 2:   13 Naming Identifying Formulas with Words
  362.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  363.    wt: 2:   11 Volume of Sphere
  364.    wt: 2:   10 Volume of Pyramid
  365.    wt: 2:   9 Volume of Cone
  366.    wt: 2:   8 Compound Interest Formula Evaluation
  367.    wt: 2:   7 Compound Interest Formula Introduction
  368.    wt: 2:   1 Written work formats for developing and showing skill
  369.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  370.    wt: 2:   9 Sets in Probability and Statistics
  371.    wt: 2:   8 Sets of Numbers
  372.    wt: 2:   7 Cautious or Safe Set Construction
  373.    wt: 2:   6 Power Set Notation
  374.    wt: 2:   5 Product Builder Notation
  375.    wt: 2:   3 Counting with Sets etc
  376.    wt: 2:   2 Venn Diagrams
  377.    wt: 2:   1 Finite Sets
  378.    wt: 2:   6 Three Notions of What is a Variable
  379.    wt: 2:   5 Talking about Numbers and Quantities
  380.    wt: 2:   3 Adding Words To Arithmetic
  381.    wt: 2:   2 What is a Variable
  382.    wt: 2:   1 Three Skills For Algebra
  383.    wt: 2:   About Folder Contents
  384.    wt: 2:   4 Square Roots with primes more
  385.    wt: 2:   3 Properties of Square Roots with example
  386.    wt: 2:   1 Squares and Square Roots Introduction
  387.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  388.    wt: 2:   5 Common Divisors 60 45 via Prime
  389.    wt: 2:   4 LCM of 8 and 10 via Prime
  390.    wt: 2:   4 Counting with Trees Product Rule Take I
  391.    wt: 2:   4 Fractions with Units
  392.    wt: 2:   14 Adding and Subtracting with Like Denominators
  393.    wt: 2:   B Integer Long Division Multiple Choices
  394.    wt: 2:   12 Adding Integers More Examples
  395.    wt: 2:   11 Adding Integers Formulas and Examples
  396.    wt: 2:   13 video Factors of 24 using prime
  397.    wt: 2:   Long Division Backward
  398.    wt: 2:   Division with Counts and Length
  399.    wt: 2:   12 Why Long Division Works Take III
  400.    wt: 2:   10 Division by Five Long and Short Ways
  401.    wt: 2:   9 Why Long Division Works Take II
  402.    wt: 2:   8 Correcting the Mistake
  403.    wt: 2:   7 Long Divison Mistake Catching
  404.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  405.    wt: 2:   5 Long Division Include Zeroes or not
  406.    wt: 2:   2 Division with Single Digit Divisors
  407.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  408.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  409.    wt: 2:   2 Subtraction Easy Case Examples
  410.    wt: 2:   5. How to add decimals C. Examples
  411.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  412.    wt: 2:   Formula Evaluation how to show work
  413.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  414.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  415.    wt: 2:   G.5 Motions With Bounded Velocities
  416.    wt: 2:   G.3 Constant Difference Theorem Proof
  417.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  418.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  419.    wt: 2:   F.5a Equicontinuity Theorems
  420.    wt: 2:   F.3 Intermediate Value Theorem
  421.    wt: 2:   F.2 Closed Range Theorem
  422.    wt: 2:   F.1 What Functions are Continuous
  423.    wt: 2:   E2 Algebraic Properties of Limits
  424.    wt: 2:   E1 Error Control Inequalities
  425.    wt: 2:   D2 Limits of Monotone Sequences
  426.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  427.    wt: 2:   B3 Bolzano Weierstrass Theorem
  428.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  429.    wt: 2:   PostScript For and Against Decimal Perspectives
  430.    wt: 2:   A1. Introduction
  431.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  432.    wt: 2:   Chapter 23 Links To Trigonometry
  433.    wt: 2:   Chapter 22 Complex Numbers
  434.    wt: 2:   Chapter 21 Arrow Addition
  435.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  436.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  437.    wt: 2:   Chapter 18. Slopes Areas Integration
  438.    wt: 2:   Chapter 17. Area Approximation
  439.    wt: 2:   Chapter 16. Velocity Approximation
  440.    wt: 2:   Chapter 15. Slope Approximation
  441.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  442.    wt: 2:   Chapter 13. Acceleration
  443.    wt: 2:   Chapter 12. Units and Slopes
  444.    wt: 2:   Chapter 10 Slopes and Units
  445.    wt: 2:   Chapter 8. Slope Interpretation
  446.    wt: 2:   Chapter 7 Slopes and Velocity
  447.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  448.    wt: 2:   Chapter 5. Slope Sign Tests
  449.    wt: 2:   Chapter 3. Slope Sign Analysis
  450.    wt: 2:   Chapter 2. Slopes and Ski Trails
  451.    wt: 2:   Chapter 1.Introduction
  452.    wt: 2:   Foreword
  453.    wt: 2:   Postscript More on Better Performance
  454.    wt: 2:   Postscript For Better Performance
  455.    wt: 2:   Chapter 31 Direct and Indirect Reason
  456.    wt: 2:   Chapter 30 Truth Tables
  457.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  458.    wt: 2:   Chapter 28 Occurrence Tables
  459.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  460.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  461.    wt: 2:   Chapter 23. Notation For Sums
  462.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  463.    wt: 2:   Chapter 21. Third Reading Guide
  464.    wt: 2:   Chapter 20. Degrees and Radians
  465.    wt: 2:   Chapter 19. Functions and Sets
  466.    wt: 2:   Chapter 18. Rules for Algebra
  467.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  468.    wt: 2:   Chapter 16. Painless Theorem Proving
  469.    wt: 2:   Chapter 15. Solving Linear Equations
  470.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  471.    wt: 2:   Chapter 13. Second Reading Guide
  472.    wt: 2:   Chapter 12. Shorthand Usage Guide
  473.    wt: 2:   Chapter 11. Why Shorthand
  474.    wt: 2:   Chapter 10 Describing and Changing Calculations
  475.    wt: 2:   Postscript What is a Variable
  476.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  477.    wt: 2:   Chapter 8 Three Skills For Algebra
  478.    wt: 2:   Solutions For Arithmetic Exercises
  479.    wt: 2:   Chapter 6 Change of Language
  480.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  481.    wt: 2:   Chapter 3 Chains of Reason
  482.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  483.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  484.    wt: 2:   Foreword
  485.    wt: 2:   Postscript B Mathematics Education References
  486.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  487.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  488.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  489.    wt: 1:   K LAMP Musings Science Education
  490.    wt: 1:   J LAMP Introduction Extrinsic Origins
  491.    wt: 1:   I LAMP Introduction Study Habits
  492.    wt: 1:   H LAMP Introduction Instructional Concepts
  493.    wt: 1:   G LAMP Introduction Problem Solving Skills
  494.    wt: 1:   F LAMP Introduction Prerequisites
  495.    wt: 1:   E LAMP Introduction Modern Mathematics
  496.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  497.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  498.    wt: 1:   A Introduction Objectives
  499.    wt: 1:   Skills Chapter 5 Calculus
  500.    wt: 1:   Teach the teachers plus goals
  501.    wt: 1:   Applied Maths Program14092009 POMME variant
  502.    wt: 1:   site eurekas
  503.    wt: 1:   Mathematics Education Professors
  504.    wt: 1:   teacher certification
  505.    wt: 1:   modern education
  506.    wt: 1:   how letters appear
  507.    wt: 1:   geometric implications for algebra
  508.    wt: 1:   04 29 New Mathematics Curriculum
  509.    wt: 1:   04 25 when to stop or suspend mathemat
  510.    wt: 1:   Operational Viewpoint to Value
  511.    wt: 1:   Education in mathematics science and technology
  512.    wt: 1:   Leaner mathematics curriculum
  513.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  514.    wt: 1:   chapitre 04 09 Regles accidentelles
  515.    wt: 1:   chapitre 04 08 Limitations et benefices
  516.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  517.    wt: 1:   chapitre 04 06 engagements
  518.    wt: 1:   chapitre 04 05 Implication versus suggestion
  519.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  520.    wt: 1:   chapitre 04 02 Deuxieme enigme
  521.    wt: 1:   chapitre 04 01 Premiere enigme
  522.    wt: 1:   chapitre 04 00 Les regles d implication
  523.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  524.    wt: 1:   4 Energy Power Heat09
  525.    wt: 1:   F Wire Resistance Calculation04
  526.    wt: 1:   B Wire Resistance Qualitative02
  527.    wt: 1:   C Electromotive force conventional current02
  528.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  529.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  530.    wt: 1:   Ages 12 to 14 Skills with take home value
  531.    wt: 1:   Ages 12 to 14 Geometry
  532.    wt: 1:   Ages 12 to 14 Arithmetic
  533.    wt: 1:   Ages 3 plus to 4 plus
  534.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  535.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  536.    wt: 1:   4 quadratics difference of two squares
  537.    wt: 1:   2 quadratics graphing in general
  538.    wt: 1:   1 quadratics graphing exercises
  539.    wt: 1:   1 Calculator Starter Exercises
  540.    wt: 1:   7 Links Lessons Elsewhere
  541.    wt: 1:   4 Polynomials Long division linear divisor
  542.    wt: 1:   14 secant function Definition Graph and Inverse
  543.    wt: 1:   4 possible motivation for term arccos
  544.    wt: 1:   5 Head To Tail Arrow Addition
  545.    wt: 1:   3 graphing y=f(x c) plus K
  546.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  547.    wt: 1:   1 graphing y=f(x a)
  548.    wt: 1:   Triangle Angles Sum To 180 Degrees
  549.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  550.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  551.    wt: 1:   Straight Lines ASA Intersection Study More
  552.    wt: 1:   Straight Lines ASA Intersection Study
  553.    wt: 1:   Straight Lines Instersection Solving Equations
  554.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  555.    wt: 1:   14 Straight Lines Equations General Case
  556.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  557.    wt: 1:   12 Straight Lines Graphing mx plus b
  558.    wt: 1:   11 Straight Lines Graphing y=mx
  559.    wt: 1:   4 Tangent Function Properties
  560.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  561.    wt: 1:   25 tangent double angle formula Slope connection
  562.    wt: 1:   24 tangent Angle Difference Formula
  563.    wt: 1:   16 Right Triangle Complementary Angle Relations
  564.    wt: 1:   14 cosine even and sine and tangent are odd
  565.    wt: 1:   7 period of sine and cosine
  566.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  567.    wt: 1:   8 Similarity of Triangles and Polygons
  568.    wt: 1:   PS D Addition with Cartesian Coordinates
  569.    wt: 1:   4 Angles on Maps Plans drawn to scale
  570.    wt: 1:   arithmetic videos Real Player Format
  571.    wt: 1:   3 Comparison of Negative Numbers
  572.    wt: 1:   2 More and Less Than with Unlike Signs
  573.    wt: 1:   1 More and Less Than for Counts and Measures
  574.    wt: 1:   5 Square Roots with primes more still
  575.    wt: 1:   2 Square Roots with Prime
  576.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  577.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  578.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  579.    wt: 1:   13 GCD from given Prime Factorization
  580.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  581.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  582.    wt: 1:   8 GCD from Euclidean Algorithm
  583.    wt: 1:   7 GCD and LCM from prime factorization
  584.    wt: 1:   6 GCD from Prime
  585.    wt: 1:   2 Least Common Multiple LCM intro via list method
  586.    wt: 1:   1 Least Common Multiples LCM Introduction
  587.    wt: 1:   12 GCD 2700 288 via Prime
  588.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  589.    wt: 1:   3 Counting with Tables and Trees II
  590.    wt: 1:   2 Counting with Tables and Trees I
  591.    wt: 1:   1 Counting and Counting Methods I
  592.    wt: 1:   11 What are real lengths and numbers
  593.    wt: 1:   10 dividing signed numbers
  594.    wt: 1:   9 subtracting signed numbers
  595.    wt: 1:   8 multiplying signed numbers
  596.    wt: 1:   7 negative and additive inverse
  597.    wt: 1:   6 adding signed numbers
  598.    wt: 1:   5 lengths and signs of numbers
  599.    wt: 1:   3 signed coordinates for maps and planes
  600.    wt: 1:   2 signed and unsigned numbers as coordinates
  601.    wt: 1:   7 Converting or Changing Units
  602.    wt: 1:   6 Simplification of Fractions with Units
  603.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  604.    wt: 1:   3 Multiplying Units and Numbers
  605.    wt: 1:   2 Equality and Units
  606.    wt: 1:   1 Addition and Subtraction with Units
  607.    wt: 1:   D Three Term Ratios
  608.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  609.    wt: 1:   B Fractions and Two Term Ratios
  610.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  611.    wt: 1:   22 Complex Compound Fractions
  612.    wt: 1:   21 Working With Signs
  613.    wt: 1:   21 Reciprocals for Fractions and Wholes
  614.    wt: 1:   20 Dividing Fractions the Why
  615.    wt: 1:   19 Dividing Fractions How TO
  616.    wt: 1:   18 Efficient Ways to Multiply
  617.    wt: 1:   17 Efficient Ways to Add and Subtract
  618.    wt: 1:   16 Addition Subtraction Comparision Compared
  619.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  620.    wt: 1:   13 Fraction Comparison Algebraic View
  621.    wt: 1:   12 Fraction Comparison
  622.    wt: 1:   11 Simplification an Algebraic View
  623.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  624.    wt: 1:   9 Improper Fractions and Mixed Numbers
  625.    wt: 1:   8 Numerals Fractionals Quantals Take II
  626.    wt: 1:   7 Numerals Fractionals Quantals
  627.    wt: 1:   6 Multiplication of Mixed Numbers
  628.    wt: 1:   6 Multiplication Algebraically Take II
  629.    wt: 1:   5 Equivalent Fractions
  630.    wt: 1:   3 Unit fraction of a fraction
  631.    wt: 1:   2 Unit Fraction Multiplication
  632.    wt: 1:   1 What is a fraction Take II
  633.    wt: 1:   1 What is a fraction
  634.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  635.    wt: 1:   D Remainders Modulo 11 Pair Rule
  636.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  637.    wt: 1:   A Associative Law Theorectical Note
  638.    wt: 1:   13 Subtraction with Additive Inverse
  639.    wt: 1:   10 Integer Multiplication Formulas
  640.    wt: 1:   9 Multiplying Integers
  641.    wt: 1:   8 Multiplication by Signed Numbers Integers
  642.    wt: 1:   7 Multiplication by Signs
  643.    wt: 1:   6 Multiplication by Natural Numbers
  644.    wt: 1:   5 Zero Movement and Additive Inverses
  645.    wt: 1:   3 Adding Movements with same direction
  646.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  647.    wt: 1:   1 Integers as Coordinates
  648.    wt: 1:   20 Uniqueness of Prime Factorization
  649.    wt: 1:   19 video Prime Factorization Unique
  650.    wt: 1:   18 video Count Factors given Prime Factorization
  651.    wt: 1:   17 Identify and Count Factors using Primes
  652.    wt: 1:   16 video Factors of 980 using prime
  653.    wt: 1:   15 video Factors of 20 using Prime Factorization
  654.    wt: 1:   12 LCD GCD and LCM using Primes
  655.    wt: 1:   11 Efficient Square Rule Use
  656.    wt: 1:   10 video Prime Factorization upto 23 squared
  657.    wt: 1:   9 video Prime Factorization upto 19 squared
  658.    wt: 1:   8 video Prime Factorization upto 19
  659.    wt: 1:   7 Calculator Usage Notes and Cautions
  660.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  661.    wt: 1:   5 Prime Factorization and a Square Rule
  662.    wt: 1:   3 video Primes and Composites from 9 times table
  663.    wt: 1:   2 Prime and Composites less than 16
  664.    wt: 1:   1 video how Products are bigger than factor
  665.    wt: 1:   D Decimal Multiplication Methods Derived
  666.    wt: 1:   C Counting Areas with Powers of Ten
  667.    wt: 1:   B Powers of Ten
  668.    wt: 1:   A Elementary Basis for Multiplication Methods
  669.    wt: 1:   6 Multiplication Commutes Order Not Important
  670.    wt: 1:   5 Decimal Fraction Multiplication
  671.    wt: 1:   3 More One Digit Multipliers
  672.    wt: 1:   2 One Digit Multipliers
  673.    wt: 1:   Video Power Notation in Decimal Expansion
  674.    wt: 1:   1 Why 3 times 5 gives 15
  675.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  676.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  677.    wt: 1:   Subtraction Another Video Lesson
  678.    wt: 1:   9 22 Minute Subtraction Review Video
  679.    wt: 1:   8 Subtraction with Units of Measure
  680.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  681.    wt: 1:   5 A Tip for Efficent Subtraction
  682.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  683.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  684.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  685.    wt: 1:   8 What skills and work habits to require
  686.    wt: 1:   7 Adding decimal fractions using decimal point
  687.    wt: 1:   6. Counting and adding units and mixed units
  688.    wt: 1:   3. How to add with decimals A sans conversions
  689.    wt: 1:   2 Decimal Counting Practices
  690.    wt: 1:   1. Explaining Addition Table
  691.    wt: 1:   11 Place Value SI Standard International way
  692.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  693.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  694.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  695.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  696.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  697.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  698.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  699.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  700.    wt: 1:   Quick history of numbers and algebra
  701.    wt: 1:   Exact Arithmetic Wholes and Fractions
  702.    wt: 1:   Expression Evaluation how to show work
  703.    wt: 1:   The 20 Times Table
  704.    wt: 1:   The 12 Times Table Visually
  705.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  706.    wt: 1:   About folder contents
  707.    wt: 1:   014 Counting Days with Calendars
  708.    wt: 1:   4 Mixing and Changing Units of Time
  709.    wt: 1:   Annotated Links to Material Elsehwere
  710.    wt: 1:   Postscript A Three Remarks
  711.    wt: 1:   Chapter 12 Four Phases
  712.    wt: 1:   Chapter 11 Elementary Instruction
  713.    wt: 1:   Chapter 10 Transition
  714.    wt: 1:   Chapter 9 The Two Ends
  715.    wt: 1:   Chapter 8 Modern Instruction
  716.    wt: 1:   Chapter 7 Two Treatments of Geometry
  717.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  718.    wt: 1:   Chapter 5 Four References
  719.    wt: 1:   Chapter 3 Algebra Difficulties
  720.    wt: 1:   Chapter 2 For and Against Mathematics
  721.    wt: 1:   Chapter 1 Introduction
  722.    wt: 1:   Foreword
  723.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  724.    wt: 1:   Postscript C Consistency as a Tool for Reason
  725.    wt: 1:   Postscript B More on Story Telling and Reason
  726.    wt: 1:   Postscript A Story Telling
  727.    wt: 1:   Chapter 23 Truth Tables
  728.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  729.    wt: 1:   Chapter 21 Occurrence Tables
  730.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  731.    wt: 1:   Chapter 18 Sense and Knowledge
  732.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  733.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  734.    wt: 1:   Chapter 15 Objective Processes
  735.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  736.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  737.    wt: 1:   Chapter 11 Accidental Patterns
  738.    wt: 1:   Chapter 10 Responsibility
  739.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  740.    wt: 1:   Chapter 8 Change of Language
  741.    wt: 1:   Chapter 7 Longer Chains of Reason
  742.    wt: 1:   Chapter 6 Chains of Reason
  743.    wt: 1:   Chapter 5 Deception
  744.    wt: 1:   Chapter 2 Skill Development
  745.    wt: 1:   Chapter 1 Introduction
  746.    wt: 1:   Three Remarks
  747.    wt: 1:   Foreword
  748.    wt: 1:   N Mathematics Prepare for College Studies
  749.    wt: 1:   D. Check work a must with a caution
  750.    wt: 1:   Chapter 8 Skipped Topics and Why
  751.    wt: 1:   Chapter 6 More Algebra and Geometry
  752.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  753.    wt: 1:   Chapter 2 Why Sets
  754.    wt: 1:   Chapter 1 Arithmetic
  755.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  756.    wt: 1:   7 Games and Activities for Instruction
  757.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  758.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  759.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  760.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  761.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  762.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  763.    wt: 1:   Mathematics Education References
  764.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  765.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  766.    wt: 1:   More Algebra and Slope based Calculus Preview
  767.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  768.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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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