Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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1053 matches:

  1.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 8:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  3.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  4.    wt: 7:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  5.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
  6.    wt: 7:   Parallel Lines and Parallel Transversals
  7.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  8.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  9.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  10.    wt: 7:   13 Pythagorean spatial distance formulas
  11.    wt: 7:   3 Lengths and Areas on Maps and Plans
  12.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  13.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
  14.    wt: 7:   11 Place Value SI Standard International way
  15.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
  16.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  17.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  18.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  19.    wt: 6:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  20.    wt: 6:   8 quadratics backward use of various formulas
  21.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  22.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  23.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  24.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  25.    wt: 6:   29 secant cosecant and cotangent for acute angles
  26.    wt: 6:   5 Cartesian Addition and Translation
  27.    wt: 6:   15 Head to Tails in place Addition Associative
  28.    wt: 6:   8 Pythagorean Relation Forwards Backwards
  29.    wt: 6:   5 Triangle Area Formula Backwards
  30.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  31.    wt: 6:   3 Triangle Area Formula Example
  32.    wt: 6:   2 Another Rectangle Area Formula Example
  33.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  34.    wt: 6:   8 Numerals Fractionals Quantals Take II
  35.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  36.    wt: 6:   Long Division forwards and backwards Example 3
  37.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  38.    wt: 6:   33 Chain Rule Real Player video examples
  39.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  40.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
  41.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  42.    wt: 6:   Chapter 2 For and Against Mathematics
  43.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  44.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  45.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  46.    wt: 5:   Appendix 1 primary and preschool mathematic
  47.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
  48.    wt: 5:   Ramblings Introduction Algebra Essay
  49.    wt: 5:   Applied Maths Program14092009 POMME variant
  50.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  51.    wt: 5:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  52.    wt: 5:   25 Mathematics Education Leaving A Good Impression
  53.    wt: 5:   13 Addition and Addition Tables
  54.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  55.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  56.    wt: 5:   17 Function maxima minima and their location
  57.    wt: 5:   6 quadratics numerical approach
  58.    wt: 5:   5 Natural Logarithm Calculator Exercises
  59.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
  60.    wt: 5:   9 Summary Degrees to Radians and back
  61.    wt: 5:   7 Radian Measures in special Triangles
  62.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  63.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  64.    wt: 5:   2 Radian Measure Numerical Value of one degree
  65.    wt: 5:   A Global Time and Navigation
  66.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  67.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  68.    wt: 5:   31 basic secant cosecant cotangent trig identities
  69.    wt: 5:   18 sum of sinusoidal waves as a single wave
  70.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  71.    wt: 5:   7 Translations Rotations Reflections Dilatations
  72.    wt: 5:   10 Pythagorean plane distance formula
  73.    wt: 5:   4 Angles on Maps Plans drawn to scale
  74.    wt: 5:   A Modular and Remainder Arithmetic
  75.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
  76.    wt: 5:   13 Arrows and Vectors in a Plane
  77.    wt: 5:   3 Inequalities Algebraically
  78.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
  79.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
  80.    wt: 5:   3 GE III Equation Addition and Multiplication
  81.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  82.    wt: 5:   3 signed coordinates for maps and planes
  83.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  84.    wt: 5:   13 Fraction Comparison Algebraic View
  85.    wt: 5:   7 Numerals Fractionals Quantals
  86.    wt: 5:   6 Multiplication Algebraically Take II
  87.    wt: 5:   A Associative Law Theorectical Note
  88.    wt: 5:   7 Calculator Usage Notes and Cautions
  89.    wt: 5:   5 Prime Factorization and a Square Rule
  90.    wt: 5:   Long Division forwards and backwards Example 2
  91.    wt: 5:   Long Division forwards and backwards Example 1
  92.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  93.    wt: 5:   3. How to add with decimals A sans conversions
  94.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
  95.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  96.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  97.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  98.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
  99.    wt: 5:   Practical Methods Ends and Values for Arithmetic
  100.    wt: 5:   Example 1. Area Between x and x squared
  101.    wt: 5:   A Related Material in Volume 3
  102.    wt: 5:   A Chain Rule Real Player video examples
  103.    wt: 5:   38 Formulas and derivatives for powers and roots
  104.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  105.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  106.    wt: 5:   Chapter 18. Slopes Areas Integration
  107.    wt: 5:   Chapter 17. Area Approximation
  108.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
  109.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  110.    wt: 5:   Appendix E. How To Study Mathematics and Why
  111.    wt: 5:   Appendix A. Reading Guide For Next Appendices
  112.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  113.    wt: 5:   Chapter 25. Mathematical Induction Examples
  114.    wt: 5:   Chapter 25. Mathematical Induction Examples
  115.    wt: 5:   Chapter 10 Describing and Changing Calculations
  116.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
  117.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
  118.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
  119.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
  120.    wt: 5:   More Algebra and Slope based Calculus Preview
  121.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  122.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  123.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  124.    wt: 4:   E LAMP Introduction Modern Mathematics
  125.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  126.    wt: 4:   Skills Chapter 3 Algebra
  127.    wt: 4:   7 logic review and decimals an odd combination
  128.    wt: 4:   5 logarithms and exponentials etc
  129.    wt: 4:   talk the algebra talk
  130.    wt: 4:   teaching tutoring algebraic reason
  131.    wt: 4:   three goals for Mathematics Education
  132.    wt: 4:   standards for course material
  133.    wt: 4:   Education in mathematics science and technology
  134.    wt: 4:   education an empirical art
  135.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
  136.    wt: 4:   chapitre 06 00 Chaines de la raison
  137.    wt: 4:   E Wire Resistance Calculation03
  138.    wt: 4:   A Wire Resistance Qualitative01
  139.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  140.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  141.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  142.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  143.    wt: 4:   12 Goals and Objectives For Mathematics
  144.    wt: 4:   5 Patience Please for Yourself and Your Charges
  145.    wt: 4:   sign monoticity analysis example 3
  146.    wt: 4:   11 Function Domain Range Source and Targets
  147.    wt: 4:   4 Function notation in and beyond mathematics
  148.    wt: 4:   A Quadratics Summary
  149.    wt: 4:   9 quadratics physical and further context
  150.    wt: 4:   7 quadratic formulla derivation
  151.    wt: 4:   3 quadratics factoring by inspection
  152.    wt: 4:   2 quadratics graphing in general
  153.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
  154.    wt: 4:   3 Polynomials Multiplication Addition
  155.    wt: 4:   13 cosecant function Definition Graph and Inverse
  156.    wt: 4:   11 arctan left inverse of tangent Graph
  157.    wt: 4:   8 Radian Measures of Common Angles
  158.    wt: 4:   1 Degrees and Radians Introduction
  159.    wt: 4:   10 Parallelogram Addition Method
  160.    wt: 4:   5 Head To Tail Arrow Addition
  161.    wt: 4:   3 Navigation with Arrows or Vectors
  162.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  163.    wt: 4:   Parallel Lines and Interior Angles
  164.    wt: 4:   14 Straight Lines Equations General Case
  165.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  166.    wt: 4:   32 seven rows of pascals triangle
  167.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  168.    wt: 4:   21 sine and cosine Half Angle Formulas
  169.    wt: 4:   16 Right Triangle Complementary Angle Relations
  170.    wt: 4:   14 cosine even and sine and tangent are odd
  171.    wt: 4:   13 Graph of tangent function many periods
  172.    wt: 4:   1 Rectangular Polar Coordinates Review
  173.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  174.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  175.    wt: 4:   9 Similarity of Triangles Usual Criteria
  176.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  177.    wt: 4:   11 A Partial Summary
  178.    wt: 4:   6 Polar Multiplication and Rotation
  179.    wt: 4:   3 Rectangular Coordinates Review
  180.    wt: 4:   1 Cartesian Coordinates sans signs
  181.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  182.    wt: 4:   PS D Addition with Cartesian Coordinates
  183.    wt: 4:   13 Angle Side Angle Failure
  184.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  185.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  186.    wt: 4:   3 Location of Point in Decimal Multiplication
  187.    wt: 4:   B Decimal Comparison and Subtraction
  188.    wt: 4:   4 Fraction Operations Axiomatic Development
  189.    wt: 4:   4 Rates Ratios and Proporitionality
  190.    wt: 4:   6 Compound Interest Forward and Backwards
  191.    wt: 4:   3 Linear Equation Literal Solution More
  192.    wt: 4:   2 Addition and Multiplication Axioms
  193.    wt: 4:   2 More and Less Than for Counts and Measures
  194.    wt: 4:   8 Coordinates for Maps and Planes
  195.    wt: 4:   3 Geometric Formulas and Function Notation
  196.    wt: 4:   3 Solving triangular system example
  197.    wt: 4:   4 Circle Area Formula Example
  198.    wt: 4:   6 Three Notions of What is a Variable
  199.    wt: 4:   5 Talking about Numbers and Quantities
  200.    wt: 4:   4 A Brief Story of numbers and algebra
  201.    wt: 4:   2 What is a Variable
  202.    wt: 4:   arithmetic videos Real Player Format
  203.    wt: 4:   1 More and Less Than for Counts and Measures
  204.    wt: 4:   1 Squares and Square Roots Introduction
  205.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  206.    wt: 4:   11 What are real lengths and numbers
  207.    wt: 4:   17 Efficient Ways to Add and Subtract
  208.    wt: 4:   16 Addition Subtraction Comparision Compared
  209.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  210.    wt: 4:   14 Adding and Subtracting with Like Denominators
  211.    wt: 4:   11 Simplification an Algebraic View
  212.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  213.    wt: 4:   3 Unit fraction of a fraction
  214.    wt: 4:   1 What is a fraction Take II
  215.    wt: 4:   11 Adding Integers Formulas and Examples
  216.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  217.    wt: 4:   10 video Prime Factorization upto 23 squared
  218.    wt: 4:   A Elementary Basis for Multiplication Methods
  219.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  220.    wt: 4:   2 Subtraction Easy Case Examples
  221.    wt: 4:   7 Adding decimal fractions using decimal point
  222.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  223.    wt: 4:   Exact Arithmetic Wholes and Fractions
  224.    wt: 4:   016 Numbering Occidental Calendar Days
  225.    wt: 4:   9 Comparison and Subtraction of Time Intervals
  226.    wt: 4:   8 Addition of Time Intervals via subtotaling
  227.    wt: 4:   36 Cube root derivative animated
  228.    wt: 4:   28 Chain Rule Preparation for a Proof
  229.    wt: 4:   25 Chain Rule Animated Examples Continued
  230.    wt: 4:   24 Chain Rule Animated Examples
  231.    wt: 4:   7 Animated Differentiation Examples
  232.    wt: 4:   7 Evaluation by immediate or delayed substitution
  233.    wt: 4:   PostScript For and Against Decimal Perspectives
  234.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  235.    wt: 4:   Chapter 13. Acceleration
  236.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
  237.    wt: 4:   Chapter 3. Slope Sign Analysis
  238.    wt: 4:   Chapter 2. Slopes and Ski Trails
  239.    wt: 4:   Fall 1983 Calculus Appetizer
  240.    wt: 4:   Appendix D. What to do in School and Why
  241.    wt: 4:   Chapter 31 Direct and Indirect Reason
  242.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  243.    wt: 4:   Chapter 20. Degrees and Radians
  244.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  245.    wt: 4:   Chapter 13. Second Reading Guide
  246.    wt: 4:   Chapter 12. Shorthand Usage Guide
  247.    wt: 4:   Postscript What is a Variable
  248.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
  249.    wt: 4:   Chapter 6 Change of Language
  250.    wt: 4:   Chapter 3 Chains of Reason
  251.    wt: 4:   Annotated Links to Material Elsehwere
  252.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  253.    wt: 4:   Chapter 3 Algebra Difficulties
  254.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
  255.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  256.    wt: 4:   Chapter 11 Accidental Patterns
  257.    wt: 4:   Chapter 8 Change of Language
  258.    wt: 4:   Chapter 3 What is in chapters 4 to 8
  259.    wt: 4:   R Why Learn Mathematics Skills
  260.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  261.    wt: 4:   O On Learning Mathematics and Science
  262.    wt: 3:   Appendix 2 primary school Arithmetic 01
  263.    wt: 3:   I LAMP Introduction Study Habits
  264.    wt: 3:   H LAMP Introduction Instructional Concepts
  265.    wt: 3:   8 analytic geometry etc
  266.    wt: 3:   3 Euclidean Geometry Leanly
  267.    wt: 3:   Teach the teachers plus goals
  268.    wt: 3:   Math Ed if it must be short make it lean effective
  269.    wt: 3:   Mathematics Education Professors
  270.    wt: 3:   what should be learnt and When
  271.    wt: 3:   five decades make a difference
  272.    wt: 3:   Maps Plans Drawings
  273.    wt: 3:   Secondary Three Mathematics
  274.    wt: 3:   Secondary Two Mathematics
  275.    wt: 3:   Secondary One Mathematics
  276.    wt: 3:   geometric implications for algebra
  277.    wt: 3:   05 13 OldSiteEntrancePage
  278.    wt: 3:   02 20 mathematics education references
  279.    wt: 3:   three aims for mathematics students
  280.    wt: 3:   Operational Viewpoint to Value
  281.    wt: 3:   mathematics instruction in general
  282.    wt: 3:   three kinds of reason in mathematics
  283.    wt: 3:   need for a mixed mathematics curriculum
  284.    wt: 3:   Leaner mathematics curriculum
  285.    wt: 3:   chapitre 07 01 principle D induction mathematique
  286.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
  287.    wt: 3:   chapitre 04 04 Parlons de la logique
  288.    wt: 3:   chapitre 02 00 La Communication des idees
  289.    wt: 3:   2 Conductance Resistance Duality02
  290.    wt: 3:   1 Conductance Resistance Duality01
  291.    wt: 3:   F Wire Resistance Calculation04
  292.    wt: 3:   D Wire Resistance Calculation02
  293.    wt: 3:   C Wire Resistance Calculation01
  294.    wt: 3:   B Wire Resistance Qualitative02
  295.    wt: 3:   3 Like resistors in parallel
  296.    wt: 3:   24 Standards For Skill Develoment Take II
  297.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  298.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  299.    wt: 3:   18 Primary School Mathematics
  300.    wt: 3:   17 Math Booklets for children and young teenagers
  301.    wt: 3:   16 Secondary Mathematics Tips
  302.    wt: 3:   14 Multiplication and Times Tables
  303.    wt: 3:   4 Learning Takes Time and Effort
  304.    wt: 3:   Ages 12 to 14 Skills with take home value
  305.    wt: 3:   sign monoticity analysis example 4
  306.    wt: 3:   sign monoticity analysis example 2
  307.    wt: 3:   sign monoticity analysis example 1
  308.    wt: 3:   22 Square Root function graphically
  309.    wt: 3:   20 Interchanging coordinates a reflection
  310.    wt: 3:   16 Increasing or decreasing on intervals
  311.    wt: 3:   6 Set Existence Formation and Notation
  312.    wt: 3:   5 Function notation for geometric transformations
  313.    wt: 3:   3 Formula or function graphing exercise
  314.    wt: 3:   2 Algebraic use of function notation
  315.    wt: 3:   Introduction Reading Guide
  316.    wt: 3:   5 quadratics completing the square
  317.    wt: 3:   4 quadratics difference of two squares
  318.    wt: 3:   1 quadratics graphing exercises
  319.    wt: 3:   10 Exponential Growth and Decay Models
  320.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  321.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  322.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  323.    wt: 3:   2 Square Root Simplification a prequel
  324.    wt: 3:   1 Calculator Starter Exercises
  325.    wt: 3:   Rewriting algebraic substitution as function substitutions
  326.    wt: 3:   16 cotangent function Definition Graph and Inverse
  327.    wt: 3:   15 cosecant function Definition Graph and Inverse
  328.    wt: 3:   14 secant function Definition Graph and Inverse
  329.    wt: 3:   12 motivation for term arctan
  330.    wt: 3:   10 arctan left inverse of tangent Definition
  331.    wt: 3:   9 motivation for name arcsin
  332.    wt: 3:   5 Swapping Coordinates is a reflection
  333.    wt: 3:   6 Radian Measure to Degrees
  334.    wt: 3:   5 Degrees to Radian Measure
  335.    wt: 3:   12 From Applied To Pure Mathematics
  336.    wt: 3:   9 Head to Tail Coordinate View
  337.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  338.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  339.    wt: 3:   Straight Lines ASA Intersection Study More
  340.    wt: 3:   Straight Lines ASA Intersection Study
  341.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  342.    wt: 3:   A Straight Line Slope Scaling Properties
  343.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  344.    wt: 3:   8 Straight Lines Equation for vertical
  345.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  346.    wt: 3:   17 tangent function angle sum formulas
  347.    wt: 3:   30 unit circle calculation of six trigonometric functions
  348.    wt: 3:   25 tangent double angle formula Slope connection
  349.    wt: 3:   24 tangent Angle Difference Formula
  350.    wt: 3:   20 sine and cosine Double Angle Formulas
  351.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  352.    wt: 3:   17D cis formulas for sine cosines and tangent
  353.    wt: 3:   17C sine and cosine double triple angle formulas
  354.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  355.    wt: 3:   15 sine cosine Complementary Angle Relations
  356.    wt: 3:   11 tangent function undefined when terminal side vertical
  357.    wt: 3:   10 Graphs of sines and cosines many periods
  358.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  359.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  360.    wt: 3:   2 Quadrant I reference Angles
  361.    wt: 3:   21 Logarithms Powers and Exponentials
  362.    wt: 3:   13 Trig Formulas for dot and cross Products
  363.    wt: 3:   12 cis formulas for sine cosines and tangent
  364.    wt: 3:   11 sine and cosine double triple angle formulas
  365.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  366.    wt: 3:   7 Second Way to Calculate Products
  367.    wt: 3:   5 An Easy Proof of the Distributive Law
  368.    wt: 3:   Appetizer A Complex Number Applet
  369.    wt: 3:   8 Triangles Cascade Problem Solving
  370.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  371.    wt: 3:   3 Trigonometric Ratios sine and cosine
  372.    wt: 3:   Why Trigonometry the whyslopes view
  373.    wt: 3:   8 Similarity of Triangles and Polygons
  374.    wt: 3:   6 Geometric Diagrams in Class
  375.    wt: 3:   3 Similarity by Design with coordinates
  376.    wt: 3:   1 Early Concept of Like or Similar Shapes
  377.    wt: 3:   10 Midpoint of [a b] and [b a]
  378.    wt: 3:   5 Algebraic View of Slopes
  379.    wt: 3:   1 Numerical view of lines and their equations
  380.    wt: 3:   12 Spatial Coordinates
  381.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  382.    wt: 3:   4 Polar Coordinates to and from
  383.    wt: 3:   2 Cartesian Coordinates with signs
  384.    wt: 3:   PS E Multiplication with Polar Coordinates
  385.    wt: 3:   PS B Parallelogram Construction Methods
  386.    wt: 3:   21 Parallelograms
  387.    wt: 3:   18 Triangle Similarity Take 1
  388.    wt: 3:   16 Angles Subtended By Chords and Diameters
  389.    wt: 3:   14 Parallel Lines Postulate
  390.    wt: 3:   6 Ruler and compass Angle Bisection
  391.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  392.    wt: 3:   2 Measuring Area Directly
  393.    wt: 3:   26 More Less Greater Than Comparison
  394.    wt: 3:   23 Distributive Law Two Derivations
  395.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  396.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  397.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  398.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  399.    wt: 3:   11 Signed Number Addition and Addition Properties
  400.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  401.    wt: 3:   8 Division and Mulplication of Compound Fractions
  402.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  403.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  404.    wt: 3:   4 Location of Point in Decimal Addition
  405.    wt: 3:   1 Fractions with Finite Decimal Expansions
  406.    wt: 3:   A Decimal Addition Columm Methods
  407.    wt: 3:   7 Decimals Multiplication Methods Examples
  408.    wt: 3:   5 Areas of Rectangles Revisited
  409.    wt: 3:   2 Fraction Operations Physical Development
  410.    wt: 3:   5 Proportionality in Equivalent Fractions
  411.    wt: 3:   3 Proportionality Examples
  412.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  413.    wt: 3:   2 Linear Equation Literal Solution
  414.    wt: 3:   1 Changing Calculations
  415.    wt: 3:   6 Equations and Systems Equivalent or Implied
  416.    wt: 3:   5 Equality in Algebra
  417.    wt: 3:   4 Subtraction and Division Axioms
  418.    wt: 3:   5 Greater More Less Than Signs in General
  419.    wt: 3:   3 More and Less Than with Unlike Signs
  420.    wt: 3:   13 Real Number Subtraction
  421.    wt: 3:   12 Real Number Additive Inverses or Negatives
  422.    wt: 3:   7 Real Numbers as Line Cordinates
  423.    wt: 3:   1 Whole and Natural Numbers
  424.    wt: 3:   2 Computation Rules Evaluation
  425.    wt: 3:   1 Formulas Dependence and Function Notation
  426.    wt: 3:   4 GE III Animated Examples
  427.    wt: 3:   4 Solving a triangular system exercise
  428.    wt: 3:   6 Algebraic Solution Example
  429.    wt: 3:   5 Algebraic Solutions Introduction
  430.    wt: 3:   4 Four Examples Fractional Coefficients
  431.    wt: 3:   Formula Usage Show Work Format
  432.    wt: 3:   13 Naming Identifying Formulas with Words
  433.    wt: 3:   8 Compound Interest Formula Evaluation
  434.    wt: 3:   9 Sets in Probability and Statistics
  435.    wt: 3:   3 Adding Words To Arithmetic
  436.    wt: 3:   4 Greater More Less Than Signs in General
  437.    wt: 3:   3 Comparison of Negative Numbers
  438.    wt: 3:   3 Properties of Square Roots with example
  439.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  440.    wt: 3:   13 GCD from given Prime Factorization
  441.    wt: 3:   7 GCD and LCM from prime factorization
  442.    wt: 3:   2 Least Common Multiple LCM intro via list method
  443.    wt: 3:   3 Counting with Tables and Trees II
  444.    wt: 3:   7 negative and additive inverse
  445.    wt: 3:   2 signed and unsigned numbers as coordinates
  446.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  447.    wt: 3:   1 Addition and Subtraction with Units
  448.    wt: 3:   B Fractions and Two Term Ratios
  449.    wt: 3:   21 Reciprocals for Fractions and Wholes
  450.    wt: 3:   1 What is a fraction
  451.    wt: 3:   13 Subtraction with Additive Inverse
  452.    wt: 3:   6 Multiplication by Natural Numbers
  453.    wt: 3:   3 Adding Movements with same direction
  454.    wt: 3:   23 Remainder Arithmetic Modulo 2
  455.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  456.    wt: 3:   21 Remainder Arithmetic Modulo 3
  457.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  458.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  459.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  460.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  461.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  462.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  463.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  464.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  465.    wt: 3:   18 video Count Factors given Prime Factorization
  466.    wt: 3:   15 video Factors of 20 using Prime Factorization
  467.    wt: 3:   9 video Prime Factorization upto 19 squared
  468.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  469.    wt: 3:   4 video Prime Factorization Introduction
  470.    wt: 3:   3 video Primes and Composites from 9 times table
  471.    wt: 3:   1 video how Products are bigger than factor
  472.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  473.    wt: 3:   5 Decimal Fraction Multiplication
  474.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  475.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  476.    wt: 3:   Video Power Notation in Decimal Expansion
  477.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  478.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  479.    wt: 3:   8 What skills and work habits to require
  480.    wt: 3:   6. Counting and adding units and mixed units
  481.    wt: 3:   5. How to add decimals C. Examples
  482.    wt: 3:   1. Explaining Addition Table
  483.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  484.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  485.    wt: 3:   Quick history of numbers and algebra
  486.    wt: 3:   Formula Evaluation how to show work
  487.    wt: 3:   015 School and work day counting tables
  488.    wt: 3:   014 Counting Days with Calendars
  489.    wt: 3:   013 Travel Time Tables
  490.    wt: 3:   010 Repeated Addition of Time Intervals
  491.    wt: 3:   2 Time and Date Matters in School
  492.    wt: 3:   Example 1 volume of a pyramid
  493.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  494.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  495.    wt: 3:   Area Between Curves Lesson Take 2
  496.    wt: 3:   Area Between Curves Lesson Take 1
  497.    wt: 3:   4 Definite Integrals Evaluation Exercises
  498.    wt: 3:   A Related lessons in Volume 3
  499.    wt: 3:   34 Derivative of exponential function
  500.    wt: 3:   30Chain Rule A Proof
  501.    wt: 3:   29 Chain Rule Optional Reading
  502.    wt: 3:   23 Chain Rule in general
  503.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  504.    wt: 3:   15 sine and cosine derivatives 3rd step
  505.    wt: 3:   13 sine and cosine derivatives 1st step
  506.    wt: 3:   3 Motivation for Limit Definition Take 2
  507.    wt: 3:   8 Four Animated Examples
  508.    wt: 3:   2 Algebraic codification
  509.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  510.    wt: 3:   .H1 First Fundamental Theorem of Calculus
  511.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  512.    wt: 3:   F.3 Intermediate Value Theorem
  513.    wt: 3:   B3 Bolzano Weierstrass Theorem
  514.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  515.    wt: 3:   Chapter 21 Arrow Addition
  516.    wt: 3:   Chapter 16. Velocity Approximation
  517.    wt: 3:   Chapter 15. Slope Approximation
  518.    wt: 3:   Chapter 12. Units and Slopes
  519.    wt: 3:   Chapter 10 Slopes and Units
  520.    wt: 3:   Chapter 9 About First Courses in Calculus
  521.    wt: 3:   Chapter 7 Slopes and Velocity
  522.    wt: 3:   Chapter 4. More Slope Sign Analysis
  523.    wt: 3:   Chapter 30 Truth Tables
  524.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
  525.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
  526.    wt: 3:   Chapter 23. Notation For Sums
  527.    wt: 3:   Chapter 21. Third Reading Guide
  528.    wt: 3:   Chapter 18. Rules for Algebra
  529.    wt: 3:   Chapter 15. Solving Linear Equations
  530.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  531.    wt: 3:   Chapter 11. Why Shorthand
  532.    wt: 3:   Chapter 8 Three Skills For Algebra
  533.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  534.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  535.    wt: 3:   Chapter 4 Longer Chains of Reason
  536.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  537.    wt: 3:   Postscript B Mathematics Education References
  538.    wt: 3:   Postscript C Consistency as a Tool for Reason
  539.    wt: 3:   Chapter 24 Direct and Indirect Reason
  540.    wt: 3:   Chapter 23 Truth Tables
  541.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
  542.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  543.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  544.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
  545.    wt: 3:   Chapter 7 Longer Chains of Reason
  546.    wt: 3:   Chapter 6 Chains of Reason
  547.    wt: 3:   S Adding words to algebra
  548.    wt: 3:   N Mathematics Prepare for College Studies
  549.    wt: 3:   N Improving Marks on Tests and Finals
  550.    wt: 3:   I. Logic and language skills
  551.    wt: 3:   D. Check work a must with a caution
  552.    wt: 3:   Helping the Blind in Logic and Mathematics
  553.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  554.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  555.    wt: 3:   Systematic Algebra Skill Development Missing Links
  556.    wt: 2:   K LAMP Musings Science Education
  557.    wt: 2:   J LAMP Introduction Extrinsic Origins
  558.    wt: 2:   G LAMP Introduction Problem Solving Skills
  559.    wt: 2:   F LAMP Introduction Prerequisites
  560.    wt: 2:   A Introduction Objectives
  561.    wt: 2:   Skills Chapter 5 Calculus
  562.    wt: 2:   Skills Chapter 1 Arithmetic
  563.    wt: 2:   Skills Chapter 0 Introduction
  564.    wt: 2:   11 pure mathematics
  565.    wt: 2:   9 combinatorics probability sets
  566.    wt: 2:   6 polynomials etc
  567.    wt: 2:   4 algebra
  568.    wt: 2:   About site lesson plans
  569.    wt: 2:   teacher certification
  570.    wt: 2:   learning takes time
  571.    wt: 2:   grouping students according to ability
  572.    wt: 2:   mathematics in context
  573.    wt: 2:   how letters appear
  574.    wt: 2:   mathematics curriculum shifts
  575.    wt: 2:   Lessening Algebra Difficulties
  576.    wt: 2:   the trouble with algebra
  577.    wt: 2:   04 29 New Mathematics Curriculum
  578.    wt: 2:   04 25 when to stop or suspend mathemat
  579.    wt: 2:   formal or informal peer review
  580.    wt: 2:   Different Kinds of Reasoning in maths
  581.    wt: 2:   Four ways to improve education reform
  582.    wt: 2:   Motivation and Context Problem
  583.    wt: 2:   Prequel In For A Penny In For A Pound
  584.    wt: 2:   fairness and inductive principles for instruction
  585.    wt: 2:   words for mathematics instructor
  586.    wt: 2:   chapitre 04 09 Regles accidentelles
  587.    wt: 2:   chapitre 04 08 Limitations et benefices
  588.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  589.    wt: 2:   chapitre 04 06 engagements
  590.    wt: 2:   chapitre 04 05 Implication versus suggestion
  591.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  592.    wt: 2:   chapitre 04 00 Les regles d implication
  593.    wt: 2:   chapitre 01 00 Introduction
  594.    wt: 2:   problemes algebre et arithmetique
  595.    wt: 2:   Trois Notions qui menent a algebre
  596.    wt: 2:   deux definitions pour variable
  597.    wt: 2:   3 Energy Power Heat08
  598.    wt: 2:   2 Unlike resistors in parallel01
  599.    wt: 2:   24 Standards For Skill Develoment
  600.    wt: 2:   22 Student Centered Highschool Mathematics
  601.    wt: 2:   11 Help and Defend Your Child or Teens Education
  602.    wt: 2:   9 Streaming by Student Cooperation
  603.    wt: 2:   8 The Effect of Negative Remarks
  604.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  605.    wt: 2:   3 Preparing for Science Studies
  606.    wt: 2:   2 Reading and Writing Skills
  607.    wt: 2:   Ages 12 to 14 Arithmetic
  608.    wt: 2:   Ages 10 to 12 Arithmetic
  609.    wt: 2:   Ages 3 plus to 4 plus
  610.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  611.    wt: 2:   19 Horizontal line rule and method
  612.    wt: 2:   18 Vertical Line Rule and Method
  613.    wt: 2:   15 Sign analysis of functions
  614.    wt: 2:   13 From one to one to many to one
  615.    wt: 2:   10 Interval Notation
  616.    wt: 2:   8 Set view of relations and functions
  617.    wt: 2:   1 Geometric Introduction of Function Notation
  618.    wt: 2:   10 quadratic exercises
  619.    wt: 2:   Quadratics in 10 steps
  620.    wt: 2:   11 Growth and Decay in Biology
  621.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  622.    wt: 2:   4 Polynomials Long division linear divisor
  623.    wt: 2:   1 Polynomials Distributive Law
  624.    wt: 2:   8 arcsin left inverse of sine Graph
  625.    wt: 2:   6 Graph of arccos function
  626.    wt: 2:   4 possible motivation for term arccos
  627.    wt: 2:   3 Left Inverse of cosine arccos definition
  628.    wt: 2:   8 Parallel Vectors
  629.    wt: 2:   4 Resultant of a Sum of Movements
  630.    wt: 2:   Vector and Complex Number Applet
  631.    wt: 2:   4 graphing y=Asin(x c)
  632.    wt: 2:   3 graphing y=f(x c) plus K
  633.    wt: 2:   1 graphing y=f(x a)
  634.    wt: 2:   Triangle Angles Sum To 180 Degrees
  635.    wt: 2:   Straight Lines Instersection Solving Equations
  636.    wt: 2:   C Straight Lines Slope from Coordinates
  637.    wt: 2:   B Straight Line Slope Scaling Properties More
  638.    wt: 2:   12 Straight Lines Graphing mx plus b
  639.    wt: 2:   11 Straight Lines Graphing y=mx
  640.    wt: 2:   10 Straight Lines through Origin Equations More
  641.    wt: 2:   9 Straight Lines through Origin Equations
  642.    wt: 2:   7 Tangent Function is odd on this domain
  643.    wt: 2:   5 Tangent Function Graph
  644.    wt: 2:   27 Logarithmic use of products of sines and cosines
  645.    wt: 2:   26 Formulas for products of sines and cosines
  646.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  647.    wt: 2:   17G Pythagorean Theorem Converse
  648.    wt: 2:   17E Trig Formulas for dot and cross Products
  649.    wt: 2:   17A The complex number valued trig function cis
  650.    wt: 2:   12 Graph of tangent function for one period
  651.    wt: 2:   9 Graphs of sine and cosine over one period
  652.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  653.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  654.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  655.    wt: 2:   16 References and Originality Question
  656.    wt: 2:   15 Pythagorean Theorem Converse
  657.    wt: 2:   3 Addition Properties
  658.    wt: 2:   2 Complex Numbers made easier we hope
  659.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  660.    wt: 2:   1 Angle Measurement with Degrees
  661.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  662.    wt: 2:   12 Triangles Similarity More Problems
  663.    wt: 2:   11 Triangle Similarity Missing Side Problem
  664.    wt: 2:   4 Similarity Definition with Coordinate
  665.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  666.    wt: 2:   7 Exercises to test skill and concept mastery
  667.    wt: 2:   3 Slope product for perpendicular lines
  668.    wt: 2:   2 point slope equation for a line
  669.    wt: 2:   What is and is not here
  670.    wt: 2:   11 Triangle Inequality
  671.    wt: 2:   8 Distance Between Points on a Line
  672.    wt: 2:   PS G Rotation Distributes over Addition
  673.    wt: 2:   19 Right Triangle Similarity
  674.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  675.    wt: 2:   12 Side Angle Side Failure
  676.    wt: 2:   11 Triangle Construction Fails
  677.    wt: 2:   10 Dropping a perpendicular to line
  678.    wt: 2:   7 Angle Side Angle
  679.    wt: 2:   3 Isometry of Triangles Congruence
  680.    wt: 2:   1 Initial Concepts and Terms
  681.    wt: 2:   A Measurement with Ruler Proper Use
  682.    wt: 2:   6 Figuring with Maps Not to Scale
  683.    wt: 2:   About Folder Contents
  684.    wt: 2:   A Signed Number Arithmetic Review
  685.    wt: 2:   21 Addition of Multiples of a Single Vector
  686.    wt: 2:   12 Real Numbers Line Signed Coordinates
  687.    wt: 2:   9 Division with Digits after Decimal Point
  688.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  689.    wt: 2:   2 Counting Digits in Decimal Multiplication
  690.    wt: 2:   C Three Decimal Subtraction Methods
  691.    wt: 2:   8 Column Multiplication Methods in General
  692.    wt: 2:   6 Column Methods for Decimal Multiplication
  693.    wt: 2:   4 Commutative Law Groups Counting Form
  694.    wt: 2:   3 Multiplicative Counting Skills Principles
  695.    wt: 2:   2 Combing Counts Addition Skills and Principles
  696.    wt: 2:   2 Algebraic View
  697.    wt: 2:   1 What is Proportionality
  698.    wt: 2:   3 Product Axioms Two Forms
  699.    wt: 2:   1 Equivalent Computation Rules
  700.    wt: 2:   4 Comparison of Negative Numbers
  701.    wt: 2:   1 Real Numbers Comparison
  702.    wt: 2:   16 Real Numbers Comparison
  703.    wt: 2:   14 Real Number Multiplication
  704.    wt: 2:   11 Real Number Addition
  705.    wt: 2:   10 Real Number Lengths and Signs
  706.    wt: 2:   9 Coordinates for Regions in Space
  707.    wt: 2:   5 Rational Numbers More
  708.    wt: 2:   4 Rational Numbers
  709.    wt: 2:   3 Fractions
  710.    wt: 2:   5 Independent versus Dependent Variables
  711.    wt: 2:   3 Four Examples
  712.    wt: 2:   1 Proper Equal Sign Usage
  713.    wt: 2:   3 Two Examples
  714.    wt: 2:   Using Letters for Physical Quantities
  715.    wt: 2:   7 Compound Interest Formula Introduction
  716.    wt: 2:   5 Box Volume Formula Example
  717.    wt: 2:   1 Written work formats for developing and showing skill
  718.    wt: 2:   7 Cautious or Safe Set Construction
  719.    wt: 2:   3 Counting with Sets etc
  720.    wt: 2:   2 Venn Diagrams
  721.    wt: 2:   1 Three Skills For Algebra
  722.    wt: 2:   About Folder Contents
  723.    wt: 2:   2 More and Less Than with Unlike Signs
  724.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  725.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  726.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  727.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  728.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  729.    wt: 2:   8 GCD from Euclidean Algorithm
  730.    wt: 2:   4 LCM of 8 and 10 via Prime
  731.    wt: 2:   1 Least Common Multiples LCM Introduction
  732.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  733.    wt: 2:   2 Counting with Tables and Trees I
  734.    wt: 2:   4 signed coordinates for regions in space
  735.    wt: 2:   6 Simplification of Fractions with Units
  736.    wt: 2:   3 Multiplying Units and Numbers
  737.    wt: 2:   2 Equality and Units
  738.    wt: 2:   20 Dividing Fractions the Why
  739.    wt: 2:   12 Fraction Comparison
  740.    wt: 2:   9 Improper Fractions and Mixed Numbers
  741.    wt: 2:   5 Equivalent Fractions
  742.    wt: 2:   4 Fraction Multiplication
  743.    wt: 2:   2 Unit Fraction Multiplication
  744.    wt: 2:   D Remainders Modulo 11 Pair Rule
  745.    wt: 2:   12 Adding Integers More Examples
  746.    wt: 2:   10 Integer Multiplication Formulas
  747.    wt: 2:   5 Zero Movement and Additive Inverses
  748.    wt: 2:   1 Integers as Coordinates
  749.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  750.    wt: 2:   26 Divisibility by 2 3 5 Example
  751.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  752.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  753.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  754.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  755.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  756.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  757.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  758.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  759.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  760.    wt: 2:   5 Remainder Arithmetic Modulo 5
  761.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  762.    wt: 2:   1 Remainder Arithmetic Modulo 10
  763.    wt: 2:   20 Uniqueness of Prime Factorization
  764.    wt: 2:   19 video Prime Factorization Unique
  765.    wt: 2:   17 Identify and Count Factors using Primes
  766.    wt: 2:   14 video Factors of 24 Take II
  767.    wt: 2:   13 video Factors of 24 using prime
  768.    wt: 2:   8 video Prime Factorization upto 19
  769.    wt: 2:   2 Prime and Composites less than 16
  770.    wt: 2:   Long Division Backwards more
  771.    wt: 2:   Long Division Backward
  772.    wt: 2:   12 Why Long Division Works Take III
  773.    wt: 2:   11 Another Single Digit Divisor Example
  774.    wt: 2:   10 Division by Five Long and Short Ways
  775.    wt: 2:   9 Why Long Division Works Take II
  776.    wt: 2:   7 Long Divison Mistake Catching
  777.    wt: 2:   3 Division Single Digit Divisor Example
  778.    wt: 2:   1 Divsion Physical Examples
  779.    wt: 2:   D Decimal Multiplication Methods Derived
  780.    wt: 2:   C Counting Areas with Powers of Ten
  781.    wt: 2:   6 Multiplication Commutes Order Not Important
  782.    wt: 2:   1 Why 3 times 5 gives 15
  783.    wt: 2:   Subtraction with J Conversions Example
  784.    wt: 2:   Subtraction Another Video Lesson
  785.    wt: 2:   8 Subtraction with Units of Measure
  786.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  787.    wt: 2:   5 A Tip for Efficent Subtraction
  788.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  789.    wt: 2:   4. How to add with decimals B with conversions
  790.    wt: 2:   2 Decimal Counting Practices
  791.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  792.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  793.    wt: 2:   Expression Evaluation how to show work
  794.    wt: 2:   The 12 Times Table Visually
  795.    wt: 2:   About folder contents
  796.    wt: 2:   012 Division of Time Intervals by Time Intervals
  797.    wt: 2:   7 Addition of Time Intervals
  798.    wt: 2:   4 Mixing and Changing Units of Time
  799.    wt: 2:   3 Units and Lengths of Time
  800.    wt: 2:   1 Intro of Kids To Time Date Skills
  801.    wt: 2:   Example 2 volume of a cone
  802.    wt: 2:   Example 3
  803.    wt: 2:   5 Area Under Curve Exercise
  804.    wt: 2:   3 Two Chain Rule Method Exercises
  805.    wt: 2:   1 Chain Rule in Reverse Integration Method
  806.    wt: 2:   4 Second derivative test exercise example
  807.    wt: 2:   3 Second derivative test
  808.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  809.    wt: 2:   31 Derivatives of inverse functions
  810.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  811.    wt: 2:   22 Chain Rule for polynomials
  812.    wt: 2:   19 Chain Rule for linear functions
  813.    wt: 2:   18 Chain Rule Introduction
  814.    wt: 2:   17 Derivatives of quotients of sine and cosine
  815.    wt: 2:   14 sine and cosine derivatives 2nd step
  816.    wt: 2:   8 Differentiation of polynomials
  817.    wt: 2:   2 Motivation for Limit Definition Take 1
  818.    wt: 2:   11 Limits at infinity Three Examples
  819.    wt: 2:   6 Continuity at a point
  820.    wt: 2:   5 Jumps and absence of unlimited error control
  821.    wt: 2:   3 Decimal insights for limits continuity convergence
  822.    wt: 2:   1 Numerical introduction
  823.    wt: 2:   .H2 Lipshitz Conditions Integration Calculus Reform
  824.    wt: 2:   G.3 Constant Difference Theorem Proof
  825.    wt: 2:   F.1 What Functions are Continuous
  826.    wt: 2:   E2 Algebraic Properties of Limits
  827.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  828.    wt: 2:   C Triangle Inequalities
  829.    wt: 2:   A1. Introduction
  830.    wt: 2:   Chapter 23 Links To Trigonometry
  831.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  832.    wt: 2:   Chapter 11. Graphing Slope versus Position
  833.    wt: 2:   Chapter 8. Slope Interpretation
  834.    wt: 2:   Chapter 1.Introduction
  835.    wt: 2:   Appendix C. How to Read
  836.    wt: 2:   Appendix B. How To Learn
  837.    wt: 2:   Chapter 28 Occurrence Tables
  838.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  839.    wt: 2:   Chapter 19. Functions and Sets
  840.    wt: 2:   Chapter 16. Painless Theorem Proving
  841.    wt: 2:   Postscript A Three Remarks
  842.    wt: 2:   Chapter 12 Four Phases
  843.    wt: 2:   Chapter 11 Elementary Instruction
  844.    wt: 2:   Chapter 10 Transition
  845.    wt: 2:   Chapter 7 Two Treatments of Geometry
  846.    wt: 2:   Chapter 1 Introduction
  847.    wt: 2:   Postscript B More on Story Telling and Reason
  848.    wt: 2:   Chapter 21 Occurrence Tables
  849.    wt: 2:   Chapter 18 Sense and Knowledge
  850.    wt: 2:   Chapter 1 Introduction
  851.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  852.    wt: 2:   L Skills with take home value
  853.    wt: 2:   H Jigsaw puzzles and problem solving
  854.    wt: 2:   G. Written work formats for developing and showing skill
  855.    wt: 2:   F. The student teacher tutor feedback loop
  856.    wt: 2:   A. Skill has to be seen to believed
  857.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  858.    wt: 2:   Road Safety Questions
  859.    wt: 1:   Skills Chapter 4 Logic
  860.    wt: 1:   Ramblings Extrinsic numbers theory
  861.    wt: 1:   Skills Chapter 2 Geometry
  862.    wt: 1:   10 statistics
  863.    wt: 1:   2 arithmetic with signed numbers
  864.    wt: 1:   1 arithmetic with unsigned numbers
  865.    wt: 1:   What is POMME
  866.    wt: 1:   why bother
  867.    wt: 1:   which way to go
  868.    wt: 1:   three goals to set for students
  869.    wt: 1:   permissions for teachers
  870.    wt: 1:   activities for students
  871.    wt: 1:   links Education Resources online
  872.    wt: 1:   site eurekas
  873.    wt: 1:   key notes and themes
  874.    wt: 1:   modern education
  875.    wt: 1:   Education Reform Inconsistencies
  876.    wt: 1:   teaching tips
  877.    wt: 1:   What to Tell Students
  878.    wt: 1:   02 21 words for teachers
  879.    wt: 1:   cultivating intelligence
  880.    wt: 1:   How to be a better instructor
  881.    wt: 1:   chapitre 12 00 les iles et division
  882.    wt: 1:   chapitre 05 00 Deception
  883.    wt: 1:   chapitre 04 02 Deuxieme enigme
  884.    wt: 1:   chapitre 04 01 Premiere enigme
  885.    wt: 1:   4 Energy Power Heat09
  886.    wt: 1:   2 Energy Power Heat07
  887.    wt: 1:   1 Energy Power Heat06
  888.    wt: 1:   C Energy Power03
  889.    wt: 1:   A Energy Power01
  890.    wt: 1:   E Kirchoffs Second Law
  891.    wt: 1:   D Kirchoff First Law
  892.    wt: 1:   C Electromotive force conventional current02
  893.    wt: 1:   B Electromotive force conventional current01
  894.    wt: 1:   A Circuit Elements
  895.    wt: 1:   Home Tutoring and Home Schooling
  896.    wt: 1:   15 Counting For Parents
  897.    wt: 1:   10 Ends values for work study instruction
  898.    wt: 1:   7 Student Motivation
  899.    wt: 1:   1 Speaking Skills
  900.    wt: 1:   Ages 12 to 14 Geometry
  901.    wt: 1:   Ages 10 to 12 Geometry
  902.    wt: 1:   Ages 9 to 10
  903.    wt: 1:   Ages 8 to 9
  904.    wt: 1:   Ages 7 to 8
  905.    wt: 1:   Ages 6 to 7
  906.    wt: 1:   Ages 4 plus to 5 plus
  907.    wt: 1:   26 Function definitions done and coming
  908.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  909.    wt: 1:   23 Inverse Functions
  910.    wt: 1:   12 Function Domain Recognition Exercises
  911.    wt: 1:   9 Set theory term relation possible origins
  912.    wt: 1:   7 Functions with finite domains
  913.    wt: 1:   2 Column Multiplication Method
  914.    wt: 1:   7 arcsin left inverse of sine Definition
  915.    wt: 1:   15 Dot and Cross Product
  916.    wt: 1:   13 Velocity Vectors in Physics
  917.    wt: 1:   6 Vectors with Coordinates
  918.    wt: 1:   2 Signed Coordinates
  919.    wt: 1:   1 Unsigned Coordinates
  920.    wt: 1:   Straight Lines Intersection of
  921.    wt: 1:   4 Tangent Function Properties
  922.    wt: 1:   1 Straight Lines Slope Concept
  923.    wt: 1:   28 Expressing products of sines cosines as sums
  924.    wt: 1:   17F Law of cosines
  925.    wt: 1:   8 period of tangent function
  926.    wt: 1:   7 period of sine and cosine
  927.    wt: 1:   1 Unit Points Reflections Rotations
  928.    wt: 1:   14 Law of cosines
  929.    wt: 1:   9 The complex number valued trig function cis
  930.    wt: 1:   4 Multiplication Properties
  931.    wt: 1:   7 Trignometric Ratios Unit Circle
  932.    wt: 1:   2 Similarity By Design
  933.    wt: 1:   8 Mid Point Formula
  934.    wt: 1:   6 Intersection of lines by solving linear systems
  935.    wt: 1:   4 Equations for lines three forms
  936.    wt: 1:   7 Complex Numbers Appetizer
  937.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  938.    wt: 1:   PS H Distributive Law For Complex Numbers
  939.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  940.    wt: 1:   PS A Kite Construction Methods
  941.    wt: 1:   17 Right Bisectors of Triangle Sides
  942.    wt: 1:   9 Construction of a right bisector
  943.    wt: 1:   8 Isoceles Triangles
  944.    wt: 1:   5 Side Angle Side
  945.    wt: 1:   2 Correspondence between Triangles
  946.    wt: 1:   Short Course on Euclidean Geometry
  947.    wt: 1:   1 Length Measurement
  948.    wt: 1:   musings do not puiblish real numbers
  949.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  950.    wt: 1:   22 Multiplication of Signed Numbers
  951.    wt: 1:   5 Distributive Law for Whole Numbers
  952.    wt: 1:   15 Real Number Division
  953.    wt: 1:   6 Unsigned Real Numbers
  954.    wt: 1:   4 Changing Letters
  955.    wt: 1:   2 GE II Comparison
  956.    wt: 1:   1 GE Substitution four examples
  957.    wt: 1:   2 Essentially one exercises three with solution
  958.    wt: 1:   1 Essentially One Unknown
  959.    wt: 1:   2 Three Examples
  960.    wt: 1:   10 One Example
  961.    wt: 1:   9 Three Examples
  962.    wt: 1:   8 One Example
  963.    wt: 1:   7 Two Examples
  964.    wt: 1:   6 Three Examples
  965.    wt: 1:   5 Three Examples
  966.    wt: 1:   4 Two Examples
  967.    wt: 1:   2 Three Examples
  968.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  969.    wt: 1:   10 Volume of Pyramid
  970.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  971.    wt: 1:   6 Power Set Notation
  972.    wt: 1:   5 Product Builder Notation
  973.    wt: 1:   4 Subset Builder Notation
  974.    wt: 1:   5 Square Roots with primes more still
  975.    wt: 1:   4 Square Roots with primes more
  976.    wt: 1:   2 Square Roots with Prime
  977.    wt: 1:   5 Common Divisors 60 45 via Prime
  978.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  979.    wt: 1:   12 GCD 2700 288 via Prime
  980.    wt: 1:   4 Counting with Trees Product Rule Take I
  981.    wt: 1:   1 Counting and Counting Methods I
  982.    wt: 1:   9 subtracting signed numbers
  983.    wt: 1:   6 adding signed numbers
  984.    wt: 1:   5 lengths and signs of numbers
  985.    wt: 1:   7 Converting or Changing Units
  986.    wt: 1:   4 Fractions with Units
  987.    wt: 1:   D Three Term Ratios
  988.    wt: 1:   22 Complex Compound Fractions
  989.    wt: 1:   19 Dividing Fractions How TO
  990.    wt: 1:   18 Efficient Ways to Multiply
  991.    wt: 1:   8 Multiplication by Signed Numbers Integers
  992.    wt: 1:   7 Multiplication by Signs
  993.    wt: 1:   4 Adding Movements wiht opposite directions
  994.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  995.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  996.    wt: 1:   16 video Factors of 980 using prime
  997.    wt: 1:   12 LCD GCD and LCM using Primes
  998.    wt: 1:   11 Efficient Square Rule Use
  999.    wt: 1:   Division with Counts and Length
  1000.    wt: 1:   8 Correcting the Mistake
  1001.    wt: 1:   4 Two and Three Digit Multipliers
  1002.    wt: 1:   3 More One Digit Multipliers
  1003.    wt: 1:   9 22 Minute Subtraction Review Video
  1004.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  1005.    wt: 1:   The 20 Times Table
  1006.    wt: 1:   011 Division of Time Intervals By Numbers
  1007.    wt: 1:   6 How long is a million seconds
  1008.    wt: 1:   5 Conversion Arithmetic
  1009.    wt: 1:   Example 4 with x function of y
  1010.    wt: 1:   Example 2
  1011.    wt: 1:   Example 1
  1012.    wt: 1:   Summary
  1013.    wt: 1:   2 Indefinite Integrals Exercises
  1014.    wt: 1:   2 Second derivative test prequel
  1015.    wt: 1:   26 Chain Rule Recognising outer inner functions
  1016.    wt: 1:   21 Chain Rule for powers
  1017.    wt: 1:   20 Chain Rule for Pulley Systems
  1018.    wt: 1:   12 Quotient rule examples
  1019.    wt: 1:   10 Power rule for negative integers
  1020.    wt: 1:   9 Reciprocal rule
  1021.    wt: 1:   10 Three one sided limits with infinite values
  1022.    wt: 1:   9 Limits Continuity and Composition
  1023.    wt: 1:   4 Numerical properties
  1024.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  1025.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  1026.    wt: 1:   F.5b Extreme Value Theorem
  1027.    wt: 1:   F.5a Equicontinuity Theorems
  1028.    wt: 1:   F.2 Closed Range Theorem
  1029.    wt: 1:   E1 Error Control Inequalities
  1030.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  1031.    wt: 1:   Chapter 22 Complex Numbers
  1032.    wt: 1:   Chapter 5. Slope Sign Tests
  1033.    wt: 1:   Postscript More on Better Performance
  1034.    wt: 1:   Postscript For Better Performance
  1035.    wt: 1:   Solutions For Arithmetic Exercises
  1036.    wt: 1:   Chapter 9 The Two Ends
  1037.    wt: 1:   Chapter 8 Modern Instruction
  1038.    wt: 1:   Chapter 5 Four References
  1039.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1040.    wt: 1:   Postscript A Story Telling
  1041.    wt: 1:   Chapter 15 Objective Processes
  1042.    wt: 1:   Chapter 10 Responsibility
  1043.    wt: 1:   Chapter 5 Deception
  1044.    wt: 1:   Chapter 2 Skill Development
  1045.    wt: 1:   Three Remarks
  1046.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1047.    wt: 1:   M Words to extend arithmetic
  1048.    wt: 1:   J. More on written work and showing skill
  1049.    wt: 1:   E. When and how to correct errors
  1050.    wt: 1:   C. Domino effect of being careful
  1051.    wt: 1:   How to Build Skills and Confidence
  1052.    wt: 1:   Implementation Notes
  1053.    wt: 1:   Which Way To Go

Extended Search

1117 matches:

  1.    wt: 9:   Skills Chapter 4 Logic
  2.    wt: 9:   Skills Chapter 2 Geometry
  3.    wt: 9:   8 analytic geometry etc
  4.    wt: 9:   Math Ed if it must be short make it lean effective
  5.    wt: 9:   what should be learnt and When
  6.    wt: 9:   five decades make a difference
  7.    wt: 9:   talk the algebra talk
  8.    wt: 9:   three goals for Mathematics Education
  9.    wt: 9:   standards for course material
  10.    wt: 9:   Education in mathematics science and technology
  11.    wt: 9:   education an empirical art
  12.    wt: 9:   Objectives for Mathematics and Logic Language Skill Development
  13.    wt: 9:   10 quadratic exercises
  14.    wt: 9:   Quadratics in 10 steps
  15.    wt: 9:   10 Exponential Growth and Decay Models
  16.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  17.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
  18.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
  19.    wt: 9:   2 Square Root Simplification a prequel
  20.    wt: 9:   1 Calculator Starter Exercises
  21.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
  22.    wt: 9:   A Global Time and Navigation
  23.    wt: 9:   3 Navigation with Arrows or Vectors
  24.    wt: 9:   4 graphing y=Asin(x c)
  25.    wt: 9:   3 graphing y=f(x c) plus K
  26.    wt: 9:   1 graphing y=f(x a)
  27.    wt: 9:   SAS Method For Isometric Or Proportional Triangle Construction
  28.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
  29.    wt: 9:   Straight Lines ASA Intersection Study More
  30.    wt: 9:   Straight Lines ASA Intersection Study
  31.    wt: 9:   D Straight Lines Slope from Coordinates Examples
  32.    wt: 9:   A Straight Line Slope Scaling Properties
  33.    wt: 9:   11 Straight Lines Graphing y=mx
  34.    wt: 9:   10 Straight Lines through Origin Equations More
  35.    wt: 9:   9 Straight Lines through Origin Equations
  36.    wt: 9:   8 Straight Lines Equation for vertical
  37.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
  38.    wt: 9:   7 Translations Rotations Reflections Dilatations
  39.    wt: 9:   11 A Partial Summary
  40.    wt: 9:   13 Angle Side Angle Failure
  41.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  42.    wt: 9:   A Modular and Remainder Arithmetic
  43.    wt: 9:   13 Arrows and Vectors in a Plane
  44.    wt: 9:   B Decimal Comparison and Subtraction
  45.    wt: 9:   6 Compound Interest Forward and Backwards
  46.    wt: 9:   3 Linear Equation Literal Solution More
  47.    wt: 9:   3 Product Axioms Two Forms
  48.    wt: 9:   1 Equivalent Computation Rules
  49.    wt: 9:   2 Computation Rules Evaluation
  50.    wt: 9:   1 Formulas Dependence and Function Notation
  51.    wt: 9:   2 Three Examples
  52.    wt: 9:   Formula Usage Show Work Format
  53.    wt: 9:   7 Compound Interest Formula Introduction
  54.    wt: 9:   5 Box Volume Formula Example
  55.    wt: 9:   1 Written work formats for developing and showing skill
  56.    wt: 9:   3 Properties of Square Roots with example
  57.    wt: 9:   2 Least Common Multiple LCM intro via list method
  58.    wt: 9:   3 Counting with Tables and Trees II
  59.    wt: 9:   17 Efficient Ways to Add and Subtract
  60.    wt: 9:   16 Addition Subtraction Comparision Compared
  61.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
  62.    wt: 9:   14 Adding and Subtracting with Like Denominators
  63.    wt: 9:   11 Simplification an Algebraic View
  64.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
  65.    wt: 9:   1 What is a fraction Take II
  66.    wt: 9:   23 Remainder Arithmetic Modulo 2
  67.    wt: 9:   22 Remainder Arithmetic Modulo 3 more
  68.    wt: 9:   21 Remainder Arithmetic Modulo 3
  69.    wt: 9:   19 Remainder Arithmetic Rule of 9 for checking sums III
  70.    wt: 9:   16 Remainder Arithmetic Modulo 9 Example 2
  71.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  72.    wt: 9:   10 Remainder Arithmetic Long Division by 5 Quickly
  73.    wt: 9:   6 Remainder Arithmetic Modulo 5 Propertie
  74.    wt: 9:   4 Remainder Arithmetic Modulo 10 in general
  75.    wt: 9:   3 Remainder Arithmetic Modulos 10 more still
  76.    wt: 9:   19 video Prime Factorization Unique
  77.    wt: 9:   14 video Factors of 24 Take II
  78.    wt: 9:   8 video Prime Factorization upto 19
  79.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  80.    wt: 9:   Long Division Backward
  81.    wt: 9:   D Decimal Multiplication Methods Derived
  82.    wt: 9:   C Counting Areas with Powers of Ten
  83.    wt: 9:   6 Multiplication Commutes Order Not Important
  84.    wt: 9:   3 More One Digit Multipliers
  85.    wt: 9:   1 Why 3 times 5 gives 15
  86.    wt: 9:   9 22 Minute Subtraction Review Video
  87.    wt: 9:   34 Derivative of exponential function
  88.    wt: 9:   31 Derivatives of inverse functions
  89.    wt: 9:   30Chain Rule A Proof
  90.    wt: 9:   29 Chain Rule Optional Reading
  91.    wt: 9:   23 Chain Rule in general
  92.    wt: 9:   22 Chain Rule for polynomials
  93.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  94.    wt: 9:   15 sine and cosine derivatives 3rd step
  95.    wt: 9:   13 sine and cosine derivatives 1st step
  96.    wt: 9:   3 Motivation for Limit Definition Take 2
  97.    wt: 9:   12 Limits with Parameters and Derivatives Take I
  98.    wt: 9:   B3 Bolzano Weierstrass Theorem
  99.    wt: 9:   PostScript For and Against Decimal Perspectives
  100.    wt: 9:   Chapter 22 Complex Numbers
  101.    wt: 9:   Chapter 5. Slope Sign Tests
  102.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  103.    wt: 9:   Chapter 23 Truth Tables
  104.    wt: 9:   Chapter 17 Objective Ways Trial and Error Discovery
  105.    wt: 9:   Chapter 11 Accidental Patterns
  106.    wt: 9:   Chapter 8 Change of Language
  107.    wt: 9:   Systematic Algebra Skill Development Missing Links
  108.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  109.    wt: 8:   11 pure mathematics
  110.    wt: 8:   9 combinatorics probability sets
  111.    wt: 8:   6 polynomials etc
  112.    wt: 8:   4 algebra
  113.    wt: 8:   Teach the teachers plus goals
  114.    wt: 8:   Mathematics Education Professors
  115.    wt: 8:   learning takes time
  116.    wt: 8:   grouping students according to ability
  117.    wt: 8:   mathematics in context
  118.    wt: 8:   Education Reform Inconsistencies
  119.    wt: 8:   Maps Plans Drawings
  120.    wt: 8:   Secondary Three Mathematics
  121.    wt: 8:   Secondary Two Mathematics
  122.    wt: 8:   Secondary One Mathematics
  123.    wt: 8:   geometric implications for algebra
  124.    wt: 8:   the trouble with algebra
  125.    wt: 8:   05 13 OldSiteEntrancePage
  126.    wt: 8:   02 20 mathematics education references
  127.    wt: 8:   three aims for mathematics students
  128.    wt: 8:   Operational Viewpoint to Value
  129.    wt: 8:   mathematics instruction in general
  130.    wt: 8:   Different Kinds of Reasoning in maths
  131.    wt: 8:   three kinds of reason in mathematics
  132.    wt: 8:   need for a mixed mathematics curriculum
  133.    wt: 8:   Leaner mathematics curriculum
  134.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
  135.    wt: 8:   11 Growth and Decay in Biology
  136.    wt: 8:   3 Polynomials Multiplication Addition
  137.    wt: 8:   10 Parallelogram Addition Method
  138.    wt: 8:   5 Head To Tail Arrow Addition
  139.    wt: 8:   Straight Lines Instersection Solving Equations
  140.    wt: 8:   Straight Lines Intersection of
  141.    wt: 8:   C Straight Lines Slope from Coordinates
  142.    wt: 8:   B Straight Line Slope Scaling Properties More
  143.    wt: 8:   7 Tangent Function is odd on this domain
  144.    wt: 8:   5 Tangent Function Graph
  145.    wt: 8:   31 basic secant cosecant cotangent trig identities
  146.    wt: 8:   29 secant cosecant and cotangent for acute angles
  147.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
  148.    wt: 8:   9 Similarity of Triangles Usual Criteria
  149.    wt: 8:   6 Geometric Diagrams in Class
  150.    wt: 8:   5 Similarity of Circles Squares and Rectangles
  151.    wt: 8:   3 Similarity by Design with coordinates
  152.    wt: 8:   10 Midpoint of [a b] and [b a]
  153.    wt: 8:   5 Algebraic View of Slopes
  154.    wt: 8:   3 Slope product for perpendicular lines
  155.    wt: 8:   1 Numerical view of lines and their equations
  156.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
  157.    wt: 8:   PS D Addition with Cartesian Coordinates
  158.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  159.    wt: 8:   2 Measuring Area Directly
  160.    wt: 8:   26 More Less Greater Than Comparison
  161.    wt: 8:   23 Distributive Law Two Derivations
  162.    wt: 8:   14 Vector Head to Tail Sums and Resultants
  163.    wt: 8:   3 Location of Point in Decimal Multiplication
  164.    wt: 8:   A Decimal Addition Columm Methods
  165.    wt: 8:   7 Decimals Multiplication Methods Examples
  166.    wt: 8:   3 Multiplicative Counting Skills Principles
  167.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
  168.    wt: 8:   2 Linear Equation Literal Solution
  169.    wt: 8:   1 Changing Calculations
  170.    wt: 8:   8 Coordinates for Maps and Planes
  171.    wt: 8:   5 Independent versus Dependent Variables
  172.    wt: 8:   Using Letters for Physical Quantities
  173.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
  174.    wt: 8:   10 Volume of Pyramid
  175.    wt: 8:   3 Comparison of Negative Numbers
  176.    wt: 8:   1 More and Less Than for Counts and Measures
  177.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  178.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  179.    wt: 8:   13 GCD from given Prime Factorization
  180.    wt: 8:   7 GCD and LCM from prime factorization
  181.    wt: 8:   1 Least Common Multiples LCM Introduction
  182.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
  183.    wt: 8:   2 Counting with Tables and Trees I
  184.    wt: 8:   3 signed coordinates for maps and planes
  185.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  186.    wt: 8:   1 Addition and Subtraction with Units
  187.    wt: 8:   B Fractions and Two Term Ratios
  188.    wt: 8:   21 Reciprocals for Fractions and Wholes
  189.    wt: 8:   1 What is a fraction
  190.    wt: 8:   A Associative Law Theorectical Note
  191.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  192.    wt: 8:   26 Divisibility by 2 3 5 Example
  193.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  194.    wt: 8:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  195.    wt: 8:   18 Remainder Arithmetic Rule of 9 for checking sums II
  196.    wt: 8:   17 Remainder Arithmetic Rule of 9 for checking sums I
  197.    wt: 8:   5 Remainder Arithmetic Modulo 5
  198.    wt: 8:   2 Remainder Arithmetic Modulo 10 more
  199.    wt: 8:   1 Remainder Arithmetic Modulo 10
  200.    wt: 8:   20 Uniqueness of Prime Factorization
  201.    wt: 8:   17 Identify and Count Factors using Primes
  202.    wt: 8:   16 video Factors of 980 using prime
  203.    wt: 8:   2 Prime and Composites less than 16
  204.    wt: 8:   Long Division Backwards more
  205.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  206.    wt: 8:   3 Division Single Digit Divisor Example
  207.    wt: 8:   4 Two and Three Digit Multipliers
  208.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  209.    wt: 8:   2 Groups of Three Place Value for Multidigit Decimals
  210.    wt: 8:   016 Numbering Occidental Calendar Days
  211.    wt: 8:   9 Comparison and Subtraction of Time Intervals
  212.    wt: 8:   8 Addition of Time Intervals via subtotaling
  213.    wt: 8:   Volume of Solid by Cross Sections Lesson
  214.    wt: 8:   Summary
  215.    wt: 8:   A Related Material in Volume 3
  216.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  217.    wt: 8:   19 Chain Rule for linear functions
  218.    wt: 8:   18 Chain Rule Introduction
  219.    wt: 8:   17 Derivatives of quotients of sine and cosine
  220.    wt: 8:   14 sine and cosine derivatives 2nd step
  221.    wt: 8:   12 Quotient rule examples
  222.    wt: 8:   8 Differentiation of polynomials
  223.    wt: 8:   2 Motivation for Limit Definition Take 1
  224.    wt: 8:   7 Evaluation by immediate or delayed substitution
  225.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
  226.    wt: 8:   .H1 First Fundamental Theorem of Calculus
  227.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
  228.    wt: 8:   F.3 Intermediate Value Theorem
  229.    wt: 8:   Foreword
  230.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  231.    wt: 8:   Chapter 2 For and Against Mathematics
  232.    wt: 8:   Postscript C Consistency as a Tool for Reason
  233.    wt: 8:   Chapter 24 Direct and Indirect Reason
  234.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
  235.    wt: 8:   Chapter 19 What is in chapters 20 to 24
  236.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
  237.    wt: 8:   Chapter 9 What is in Chapters 10 to 18
  238.    wt: 8:   Chapter 7 Longer Chains of Reason
  239.    wt: 8:   Chapter 6 Chains of Reason
  240.    wt: 7:   10 statistics
  241.    wt: 7:   2 arithmetic with signed numbers
  242.    wt: 7:   1 arithmetic with unsigned numbers
  243.    wt: 7:   What is POMME
  244.    wt: 7:   permissions for teachers
  245.    wt: 7:   About site lesson plans
  246.    wt: 7:   teacher certification
  247.    wt: 7:   modern education
  248.    wt: 7:   how letters appear
  249.    wt: 7:   mathematics curriculum shifts
  250.    wt: 7:   Lessening Algebra Difficulties
  251.    wt: 7:   04 29 New Mathematics Curriculum
  252.    wt: 7:   04 25 when to stop or suspend mathemat
  253.    wt: 7:   formal or informal peer review
  254.    wt: 7:   Four ways to improve education reform
  255.    wt: 7:   Motivation and Context Problem
  256.    wt: 7:   Prequel In For A Penny In For A Pound
  257.    wt: 7:   fairness and inductive principles for instruction
  258.    wt: 7:   words for mathematics instructor
  259.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
  260.    wt: 7:   chapitre 06 00 Chaines de la raison
  261.    wt: 7:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  262.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  263.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  264.    wt: 7:   13 Addition and Addition Tables
  265.    wt: 7:   Ages 12 to 14 Skills with take home value
  266.    wt: 7:   Ages 3 plus to 4 plus
  267.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  268.    wt: 7:   17 Function maxima minima and their location
  269.    wt: 7:   16 cotangent function Definition Graph and Inverse
  270.    wt: 7:   15 cosecant function Definition Graph and Inverse
  271.    wt: 7:   13 cosecant function Definition Graph and Inverse
  272.    wt: 7:   11 arctan left inverse of tangent Graph
  273.    wt: 7:   12 From Applied To Pure Mathematics
  274.    wt: 7:   9 Head to Tail Coordinate View
  275.    wt: 7:   4 Tangent Function Properties
  276.    wt: 7:   1 Straight Lines Slope Concept
  277.    wt: 7:   32 seven rows of pascals triangle
  278.    wt: 7:   18 sum of sinusoidal waves as a single wave
  279.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  280.    wt: 7:   8 Similarity of Triangles and Polygons
  281.    wt: 7:   1 Early Concept of Like or Similar Shapes
  282.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  283.    wt: 7:   7 Exercises to test skill and concept mastery
  284.    wt: 7:   2 point slope equation for a line
  285.    wt: 7:   What is and is not here
  286.    wt: 7:   PS E Multiplication with Polar Coordinates
  287.    wt: 7:   PS B Parallelogram Construction Methods
  288.    wt: 7:   21 Parallelograms
  289.    wt: 7:   18 Triangle Similarity Take 1
  290.    wt: 7:   16 Angles Subtended By Chords and Diameters
  291.    wt: 7:   14 Parallel Lines Postulate
  292.    wt: 7:   6 Ruler and compass Angle Bisection
  293.    wt: 7:   3 Isometry of Triangles Congruence
  294.    wt: 7:   A Measurement with Ruler Proper Use
  295.    wt: 7:   6 Figuring with Maps Not to Scale
  296.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  297.    wt: 7:   18 Geometrically Why Vector Addition Commutes
  298.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
  299.    wt: 7:   16 Collinear Horizontal Arrows Vectors
  300.    wt: 7:   11 Signed Number Addition and Addition Properties
  301.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  302.    wt: 7:   8 Division and Mulplication of Compound Fractions
  303.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
  304.    wt: 7:   5 Fractions with Infinite Decimal Expansions
  305.    wt: 7:   4 Location of Point in Decimal Addition
  306.    wt: 7:   1 Fractions with Finite Decimal Expansions
  307.    wt: 7:   C Three Decimal Subtraction Methods
  308.    wt: 7:   8 Column Multiplication Methods in General
  309.    wt: 7:   6 Column Methods for Decimal Multiplication
  310.    wt: 7:   4 Commutative Law Groups Counting Form
  311.    wt: 7:   2 Combing Counts Addition Skills and Principles
  312.    wt: 7:   13 Real Number Subtraction
  313.    wt: 7:   12 Real Number Additive Inverses or Negatives
  314.    wt: 7:   7 Real Numbers as Line Cordinates
  315.    wt: 7:   1 Whole and Natural Numbers
  316.    wt: 7:   4 Changing Letters
  317.    wt: 7:   11 Volume of Sphere
  318.    wt: 7:   9 Volume of Cone
  319.    wt: 7:   6 Three Notions of What is a Variable
  320.    wt: 7:   5 Talking about Numbers and Quantities
  321.    wt: 7:   4 A Brief Story of numbers and algebra
  322.    wt: 7:   2 What is a Variable
  323.    wt: 7:   4 Greater More Less Than Signs in General
  324.    wt: 7:   5 Square Roots with primes more still
  325.    wt: 7:   4 Square Roots with primes more
  326.    wt: 7:   2 Square Roots with Prime
  327.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  328.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  329.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
  330.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  331.    wt: 7:   8 GCD from Euclidean Algorithm
  332.    wt: 7:   4 LCM of 8 and 10 via Prime
  333.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  334.    wt: 7:   4 Counting with Trees Product Rule Take I
  335.    wt: 7:   1 Counting and Counting Methods I
  336.    wt: 7:   11 What are real lengths and numbers
  337.    wt: 7:   6 Simplification of Fractions with Units
  338.    wt: 7:   3 Multiplying Units and Numbers
  339.    wt: 7:   2 Equality and Units
  340.    wt: 7:   20 Dividing Fractions the Why
  341.    wt: 7:   12 Fraction Comparison
  342.    wt: 7:   9 Improper Fractions and Mixed Numbers
  343.    wt: 7:   5 Equivalent Fractions
  344.    wt: 7:   4 Fraction Multiplication
  345.    wt: 7:   2 Unit Fraction Multiplication
  346.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
  347.    wt: 7:   12 LCD GCD and LCM using Primes
  348.    wt: 7:   11 Efficient Square Rule Use
  349.    wt: 7:   Division with Counts and Length
  350.    wt: 7:   12 Why Long Division Works Take III
  351.    wt: 7:   11 Another Single Digit Divisor Example
  352.    wt: 7:   10 Division by Five Long and Short Ways
  353.    wt: 7:   9 Why Long Division Works Take II
  354.    wt: 7:   7 Long Divison Mistake Catching
  355.    wt: 7:   1 Divsion Physical Examples
  356.    wt: 7:   B Powers of Ten
  357.    wt: 7:   2 One Digit Multipliers
  358.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
  359.    wt: 7:   1 Place Value in Three Digit Whole Numbers
  360.    wt: 7:   Practical Methods Ends and Values for Arithmetic
  361.    wt: 7:   015 School and work day counting tables
  362.    wt: 7:   014 Counting Days with Calendars
  363.    wt: 7:   013 Travel Time Tables
  364.    wt: 7:   010 Repeated Addition of Time Intervals
  365.    wt: 7:   2 Time and Date Matters in School
  366.    wt: 7:   A Related lessons in Volume 3
  367.    wt: 7:   26 Chain Rule Recognising outer inner functions
  368.    wt: 7:   21 Chain Rule for powers
  369.    wt: 7:   20 Chain Rule for Pulley Systems
  370.    wt: 7:   10 Power rule for negative integers
  371.    wt: 7:   9 Reciprocal rule
  372.    wt: 7:   5 Product Rule
  373.    wt: 7:   8 Four Animated Examples
  374.    wt: 7:   2 Algebraic codification
  375.    wt: 7:   .H2 Lipshitz Conditions Integration Calculus Reform
  376.    wt: 7:   G.3 Constant Difference Theorem Proof
  377.    wt: 7:   F.5a Equicontinuity Theorems
  378.    wt: 7:   F.1 What Functions are Continuous
  379.    wt: 7:   E2 Algebraic Properties of Limits
  380.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
  381.    wt: 7:   C Triangle Inequalities
  382.    wt: 7:   A1. Introduction
  383.    wt: 7:   Appendix E. How To Study Mathematics and Why
  384.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  385.    wt: 7:   Chapter 31 Direct and Indirect Reason
  386.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
  387.    wt: 7:   Chapter 25. Mathematical Induction Examples
  388.    wt: 7:   Chapter 25. Mathematical Induction Examples
  389.    wt: 7:   Chapter 13. Second Reading Guide
  390.    wt: 7:   Chapter 10 Describing and Changing Calculations
  391.    wt: 7:   Chapter 3 Chains of Reason
  392.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  393.    wt: 7:   Chapter 3 Algebra Difficulties
  394.    wt: 7:   Postscript B More on Story Telling and Reason
  395.    wt: 7:   Chapter 21 Occurrence Tables
  396.    wt: 7:   Chapter 18 Sense and Knowledge
  397.    wt: 7:   Chapter 1 Introduction
  398.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
  399.    wt: 7:   Helping the Blind in Logic and Mathematics
  400.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
  401.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  402.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
  403.    wt: 6:   why bother
  404.    wt: 6:   which way to go
  405.    wt: 6:   three goals to set for students
  406.    wt: 6:   activities for students
  407.    wt: 6:   links Education Resources online
  408.    wt: 6:   site eurekas
  409.    wt: 6:   key notes and themes
  410.    wt: 6:   Postscript 2007 01 10
  411.    wt: 6:   teaching tips
  412.    wt: 6:   What to Tell Students
  413.    wt: 6:   02 21 words for teachers
  414.    wt: 6:   Theory of Knowledge
  415.    wt: 6:   cultivating intelligence
  416.    wt: 6:   How to be a better instructor
  417.    wt: 6:   chapitre 07 01 principle D induction mathematique
  418.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
  419.    wt: 6:   chapitre 04 04 Parlons de la logique
  420.    wt: 6:   chapitre 02 00 La Communication des idees
  421.    wt: 6:   25 Mathematics Education Leaving A Good Impression
  422.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
  423.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
  424.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
  425.    wt: 6:   Ages 12 to 14 Arithmetic
  426.    wt: 6:   Ages 10 to 12 Arithmetic
  427.    wt: 6:   11 Function Domain Range Source and Targets
  428.    wt: 6:   4 Function notation in and beyond mathematics
  429.    wt: 6:   3 Formula or function graphing exercise
  430.    wt: 6:   5 Polynomials Long division Nonlinear divisor
  431.    wt: 6:   4 Polynomials Long division linear divisor
  432.    wt: 6:   1 Polynomials Distributive Law
  433.    wt: 6:   14 secant function Definition Graph and Inverse
  434.    wt: 6:   12 motivation for term arctan
  435.    wt: 6:   10 arctan left inverse of tangent Definition
  436.    wt: 6:   9 motivation for name arcsin
  437.    wt: 6:   5 Swapping Coordinates is a reflection
  438.    wt: 6:   13 Velocity Vectors in Physics
  439.    wt: 6:   8 Parallel Vectors
  440.    wt: 6:   4 Resultant of a Sum of Movements
  441.    wt: 6:   Vector and Complex Number Applet
  442.    wt: 6:   24 tangent Angle Difference Formula
  443.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  444.    wt: 6:   21 sine and cosine Half Angle Formulas
  445.    wt: 6:   16 Right Triangle Complementary Angle Relations
  446.    wt: 6:   15 sine cosine Complementary Angle Relations
  447.    wt: 6:   14 cosine even and sine and tangent are odd
  448.    wt: 6:   13 Graph of tangent function many periods
  449.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  450.    wt: 6:   13 Trig Formulas for dot and cross Products
  451.    wt: 6:   1 Rectangular Polar Coordinates Review
  452.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  453.    wt: 6:   12 Triangles Similarity More Problems
  454.    wt: 6:   11 Triangle Similarity Missing Side Problem
  455.    wt: 6:   4 Similarity Definition with Coordinate
  456.    wt: 6:   8 Mid Point Formula
  457.    wt: 6:   6 Intersection of lines by solving linear systems
  458.    wt: 6:   4 Equations for lines three forms
  459.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  460.    wt: 6:   PS G Rotation Distributes over Addition
  461.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  462.    wt: 6:   19 Right Triangle Similarity
  463.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  464.    wt: 6:   12 Side Angle Side Failure
  465.    wt: 6:   11 Triangle Construction Fails
  466.    wt: 6:   10 Dropping a perpendicular to line
  467.    wt: 6:   7 Angle Side Angle
  468.    wt: 6:   1 Initial Concepts and Terms
  469.    wt: 6:   1 Length Measurement
  470.    wt: 6:   A Signed Number Arithmetic Review
  471.    wt: 6:   24 Signed Numbers Arithmmetic Properties
  472.    wt: 6:   22 Multiplication of Signed Numbers
  473.    wt: 6:   21 Addition of Multiples of a Single Vector
  474.    wt: 6:   12 Real Numbers Line Signed Coordinates
  475.    wt: 6:   9 Division with Digits after Decimal Point
  476.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  477.    wt: 6:   2 Counting Digits in Decimal Multiplication
  478.    wt: 6:   5 Distributive Law for Whole Numbers
  479.    wt: 6:   16 Real Numbers Comparison
  480.    wt: 6:   14 Real Number Multiplication
  481.    wt: 6:   11 Real Number Addition
  482.    wt: 6:   10 Real Number Lengths and Signs
  483.    wt: 6:   9 Coordinates for Regions in Space
  484.    wt: 6:   5 Rational Numbers More
  485.    wt: 6:   4 Rational Numbers
  486.    wt: 6:   3 Fractions
  487.    wt: 6:   More Exercises
  488.    wt: 6:   Simple Exercises
  489.    wt: 6:   9 Sets in Probability and Statistics
  490.    wt: 6:   3 Adding Words To Arithmetic
  491.    wt: 6:   arithmetic videos Real Player Format
  492.    wt: 6:   2 More and Less Than with Unlike Signs
  493.    wt: 6:   5 Common Divisors 60 45 via Prime
  494.    wt: 6:   12 GCD 2700 288 via Prime
  495.    wt: 6:   7 negative and additive inverse
  496.    wt: 6:   2 signed and unsigned numbers as coordinates
  497.    wt: 6:   7 Converting or Changing Units
  498.    wt: 6:   4 Fractions with Units
  499.    wt: 6:   D Three Term Ratios
  500.    wt: 6:   22 Complex Compound Fractions
  501.    wt: 6:   19 Dividing Fractions How TO
  502.    wt: 6:   18 Efficient Ways to Multiply
  503.    wt: 6:   13 Subtraction with Additive Inverse
  504.    wt: 6:   11 Adding Integers Formulas and Examples
  505.    wt: 6:   3 Adding Movements with same direction
  506.    wt: 6:   8 Correcting the Mistake
  507.    wt: 6:   Exact Arithmetic Wholes and Fractions
  508.    wt: 6:   Formula Evaluation how to show work
  509.    wt: 6:   Expression Evaluation how to show work
  510.    wt: 6:   012 Division of Time Intervals by Time Intervals
  511.    wt: 6:   7 Addition of Time Intervals
  512.    wt: 6:   4 Mixing and Changing Units of Time
  513.    wt: 6:   3 Units and Lengths of Time
  514.    wt: 6:   1 Intro of Kids To Time Date Skills
  515.    wt: 6:   4 Definite Integrals Evaluation Exercises
  516.    wt: 6:   4 Second derivative test exercise example
  517.    wt: 6:   3 Second derivative test
  518.    wt: 6:   2 Second derivative test prequel
  519.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  520.    wt: 6:   11 Quotient rule
  521.    wt: 6:   6 Power rule from product rule
  522.    wt: 6:   4 Sum Rule
  523.    wt: 6:   11 Limits at infinity Three Examples
  524.    wt: 6:   6 Continuity at a point
  525.    wt: 6:   5 Jumps and absence of unlimited error control
  526.    wt: 6:   4 Numerical properties
  527.    wt: 6:   3 Decimal insights for limits continuity convergence
  528.    wt: 6:   1 Numerical introduction
  529.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
  530.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
  531.    wt: 6:   F.5b Extreme Value Theorem
  532.    wt: 6:   F.2 Closed Range Theorem
  533.    wt: 6:   E1 Error Control Inequalities
  534.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  535.    wt: 6:   Appendix D. What to do in School and Why
  536.    wt: 6:   Chapter 30 Truth Tables
  537.    wt: 6:   Chapter 26 What is in chapters 27 to 31
  538.    wt: 6:   Chapter 23. Notation For Sums
  539.    wt: 6:   Chapter 20. Degrees and Radians
  540.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  541.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
  542.    wt: 6:   Chapter 12. Shorthand Usage Guide
  543.    wt: 6:   Postscript What is a Variable
  544.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  545.    wt: 6:   Chapter 6 Change of Language
  546.    wt: 6:   Annotated Links to Material Elsehwere
  547.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  548.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  549.    wt: 6:   Postscript A Story Telling
  550.    wt: 6:   Chapter 15 Objective Processes
  551.    wt: 6:   Chapter 10 Responsibility
  552.    wt: 6:   Chapter 5 Deception
  553.    wt: 6:   Chapter 2 Skill Development
  554.    wt: 6:   Three Remarks
  555.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
  556.    wt: 6:   Implementation Notes
  557.    wt: 5:   website reviews
  558.    wt: 5:   site origins
  559.    wt: 5:   three difficulties
  560.    wt: 5:   chapitre 04 09 Regles accidentelles
  561.    wt: 5:   chapitre 04 08 Limitations et benefices
  562.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  563.    wt: 5:   chapitre 04 06 engagements
  564.    wt: 5:   chapitre 04 05 Implication versus suggestion
  565.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  566.    wt: 5:   chapitre 04 00 Les regles d implication
  567.    wt: 5:   chapitre 01 00 Introduction
  568.    wt: 5:   A Wire Resistance Qualitative01
  569.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
  570.    wt: 5:   23 Modularized Skill Development Modularized Rigor
  571.    wt: 5:   12 Goals and Objectives For Mathematics
  572.    wt: 5:   5 Patience Please for Yourself and Your Charges
  573.    wt: 5:   Ages 12 to 14 Geometry
  574.    wt: 5:   Ages 10 to 12 Geometry
  575.    wt: 5:   Ages 9 to 10
  576.    wt: 5:   Ages 8 to 9
  577.    wt: 5:   Ages 7 to 8
  578.    wt: 5:   Ages 6 to 7
  579.    wt: 5:   Ages 4 plus to 5 plus
  580.    wt: 5:   22 Square Root function graphically
  581.    wt: 5:   20 Interchanging coordinates a reflection
  582.    wt: 5:   16 Increasing or decreasing on intervals
  583.    wt: 5:   13 From one to one to many to one
  584.    wt: 5:   6 Set Existence Formation and Notation
  585.    wt: 5:   5 Function notation for geometric transformations
  586.    wt: 5:   2 Algebraic use of function notation
  587.    wt: 5:   Introduction Reading Guide
  588.    wt: 5:   2 Column Multiplication Method
  589.    wt: 5:   Rewriting algebraic substitution as function substitutions
  590.    wt: 5:   8 arcsin left inverse of sine Graph
  591.    wt: 5:   6 Graph of arccos function
  592.    wt: 5:   4 possible motivation for term arccos
  593.    wt: 5:   3 Left Inverse of cosine arccos definition
  594.    wt: 5:   15 Dot and Cross Product
  595.    wt: 5:   6 Vectors with Coordinates
  596.    wt: 5:   2 Signed Coordinates
  597.    wt: 5:   1 Unsigned Coordinates
  598.    wt: 5:   17 tangent function angle sum formulas
  599.    wt: 5:   30 unit circle calculation of six trigonometric functions
  600.    wt: 5:   25 tangent double angle formula Slope connection
  601.    wt: 5:   20 sine and cosine Double Angle Formulas
  602.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
  603.    wt: 5:   17D cis formulas for sine cosines and tangent
  604.    wt: 5:   17C sine and cosine double triple angle formulas
  605.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
  606.    wt: 5:   11 tangent function undefined when terminal side vertical
  607.    wt: 5:   10 Graphs of sines and cosines many periods
  608.    wt: 5:   3 sines and cosines for reference angle 90 degrees
  609.    wt: 5:   2 Quadrant I reference Angles
  610.    wt: 5:   21 Logarithms Powers and Exponentials
  611.    wt: 5:   12 cis formulas for sine cosines and tangent
  612.    wt: 5:   11 sine and cosine double triple angle formulas
  613.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  614.    wt: 5:   7 Second Way to Calculate Products
  615.    wt: 5:   5 An Easy Proof of the Distributive Law
  616.    wt: 5:   3 Addition Properties
  617.    wt: 5:   Appetizer A Complex Number Applet
  618.    wt: 5:   8 Triangles Cascade Problem Solving
  619.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  620.    wt: 5:   3 Trigonometric Ratios sine and cosine
  621.    wt: 5:   Why Trigonometry the whyslopes view
  622.    wt: 5:   2 Similarity By Design
  623.    wt: 5:   Four Simple Exercises
  624.    wt: 5:   12 Links Lessons elsewhere
  625.    wt: 5:   PS H Distributive Law For Complex Numbers
  626.    wt: 5:   PS A Kite Construction Methods
  627.    wt: 5:   17 Right Bisectors of Triangle Sides
  628.    wt: 5:   9 Construction of a right bisector
  629.    wt: 5:   8 Isoceles Triangles
  630.    wt: 5:   5 Side Angle Side
  631.    wt: 5:   2 Correspondence between Triangles
  632.    wt: 5:   Short Course on Euclidean Geometry
  633.    wt: 5:   musings do not puiblish real numbers
  634.    wt: 5:   E Long Division Methods more
  635.    wt: 5:   D Long Division Methods
  636.    wt: 5:   1 The Counting Origins of Numbers
  637.    wt: 5:   15 Real Number Division
  638.    wt: 5:   6 Unsigned Real Numbers
  639.    wt: 5:   7 Cautious or Safe Set Construction
  640.    wt: 5:   3 Counting with Sets etc
  641.    wt: 5:   2 Venn Diagrams
  642.    wt: 5:   1 Three Skills For Algebra
  643.    wt: 5:   About Folder Contents
  644.    wt: 5:   6 GCD from Prime
  645.    wt: 5:   4 signed coordinates for regions in space
  646.    wt: 5:   21 Working With Signs
  647.    wt: 5:   D Remainders Modulo 11 Pair Rule
  648.    wt: 5:   6 Multiplication by Natural Numbers
  649.    wt: 5:   5 Long Division Include Zeroes or not
  650.    wt: 5:   4 Division with 2 Digit Divsors
  651.    wt: 5:   2 Division with Single Digit Divisors
  652.    wt: 5:   Quick history of numbers and algebra
  653.    wt: 5:   011 Division of Time Intervals By Numbers
  654.    wt: 5:   6 How long is a million seconds
  655.    wt: 5:   5 Conversion Arithmetic
  656.    wt: 5:   5 Area Under Curve Exercise
  657.    wt: 5:   3 Two Chain Rule Method Exercises
  658.    wt: 5:   1 Chain Rule in Reverse Integration Method
  659.    wt: 5:   10 Three one sided limits with infinite values
  660.    wt: 5:   9 Limits Continuity and Composition
  661.    wt: 5:   G.5 Motions With Bounded Velocities
  662.    wt: 5:   G.4 Lipschitz Continuity implies EquiContinuity
  663.    wt: 5:   F.4 Finite Covering Theorem
  664.    wt: 5:   D2 Limits of Monotone Sequences
  665.    wt: 5:   index
  666.    wt: 5:   Appendix C. How to Read
  667.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
  668.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
  669.    wt: 5:   Chapter 21. Third Reading Guide
  670.    wt: 5:   Chapter 18. Rules for Algebra
  671.    wt: 5:   Chapter 15. Solving Linear Equations
  672.    wt: 5:   Chapter 11. Why Shorthand
  673.    wt: 5:   Chapter 8 Three Skills For Algebra
  674.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
  675.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  676.    wt: 5:   Chapter 4 Longer Chains of Reason
  677.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
  678.    wt: 5:   Postscript B Mathematics Education References
  679.    wt: 5:   Postscript A Three Remarks
  680.    wt: 5:   Foreword
  681.    wt: 5:   R Why Learn Mathematics Skills
  682.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  683.    wt: 5:   O On Learning Mathematics and Science
  684.    wt: 5:   Which Way To Go
  685.    wt: 4:   chapitre 12 00 les iles et division
  686.    wt: 4:   chapitre 05 00 Deception
  687.    wt: 4:   chapitre 04 02 Deuxieme enigme
  688.    wt: 4:   chapitre 04 01 Premiere enigme
  689.    wt: 4:   problemes algebre et arithmetique
  690.    wt: 4:   Trois Notions qui menent a algebre
  691.    wt: 4:   deux definitions pour variable
  692.    wt: 4:   E Wire Resistance Calculation03
  693.    wt: 4:   24 Standards For Skill Develoment Take II
  694.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  695.    wt: 4:   18 Primary School Mathematics
  696.    wt: 4:   17 Math Booklets for children and young teenagers
  697.    wt: 4:   16 Secondary Mathematics Tips
  698.    wt: 4:   14 Multiplication and Times Tables
  699.    wt: 4:   4 Learning Takes Time and Effort
  700.    wt: 4:   3 Preparing for Science Studies
  701.    wt: 4:   23 Inverse Functions
  702.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  703.    wt: 4:   19 Horizontal line rule and method
  704.    wt: 4:   18 Vertical Line Rule and Method
  705.    wt: 4:   15 Sign analysis of functions
  706.    wt: 4:   10 Interval Notation
  707.    wt: 4:   8 Set view of relations and functions
  708.    wt: 4:   1 Geometric Introduction of Function Notation
  709.    wt: 4:   8 Notes for instructors or tutors
  710.    wt: 4:   7 Links Lessons Elsewhere
  711.    wt: 4:   7 arcsin left inverse of sine Definition
  712.    wt: 4:   11 Component Method
  713.    wt: 4:   27 Logarithmic use of products of sines and cosines
  714.    wt: 4:   26 Formulas for products of sines and cosines
  715.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  716.    wt: 4:   17G Pythagorean Theorem Converse
  717.    wt: 4:   17E Trig Formulas for dot and cross Products
  718.    wt: 4:   17A The complex number valued trig function cis
  719.    wt: 4:   12 Graph of tangent function for one period
  720.    wt: 4:   9 Graphs of sine and cosine over one period
  721.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  722.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  723.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  724.    wt: 4:   16 References and Originality Question
  725.    wt: 4:   15 Pythagorean Theorem Converse
  726.    wt: 4:   2 Complex Numbers made easier we hope
  727.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  728.    wt: 4:   1 Angle Measurement with Degrees
  729.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  730.    wt: 4:   4 Side Side Side
  731.    wt: 4:   About Folder Contents
  732.    wt: 4:   19 Signed Multiples of Vectors
  733.    wt: 4:   2 Integers
  734.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  735.    wt: 4:   6 Power Set Notation
  736.    wt: 4:   5 Product Builder Notation
  737.    wt: 4:   4 Subset Builder Notation
  738.    wt: 4:   9 subtracting signed numbers
  739.    wt: 4:   6 adding signed numbers
  740.    wt: 4:   5 lengths and signs of numbers
  741.    wt: 4:   12 Adding Integers More Examples
  742.    wt: 4:   10 Integer Multiplication Formulas
  743.    wt: 4:   5 Zero Movement and Additive Inverses
  744.    wt: 4:   1 Integers as Coordinates
  745.    wt: 4:   The 12 Times Table Visually
  746.    wt: 4:   About folder contents
  747.    wt: 4:   2 Indefinite Integrals Exercises
  748.    wt: 4:   Appendix B. How To Learn
  749.    wt: 4:   Chapter 28 Occurrence Tables
  750.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  751.    wt: 4:   Chapter 19. Functions and Sets
  752.    wt: 4:   Chapter 16. Painless Theorem Proving
  753.    wt: 4:   Chapter 12 Four Phases
  754.    wt: 4:   Chapter 11 Elementary Instruction
  755.    wt: 4:   Chapter 10 Transition
  756.    wt: 4:   Chapter 7 Two Treatments of Geometry
  757.    wt: 4:   Chapter 1 Introduction
  758.    wt: 4:   S Adding words to algebra
  759.    wt: 4:   N Mathematics Prepare for College Studies
  760.    wt: 4:   N Improving Marks on Tests and Finals
  761.    wt: 4:   I. Logic and language skills
  762.    wt: 4:   D. Check work a must with a caution
  763.    wt: 3:   liens
  764.    wt: 3:   2 Conductance Resistance Duality02
  765.    wt: 3:   1 Conductance Resistance Duality01
  766.    wt: 3:   F Wire Resistance Calculation04
  767.    wt: 3:   D Wire Resistance Calculation02
  768.    wt: 3:   C Wire Resistance Calculation01
  769.    wt: 3:   B Wire Resistance Qualitative02
  770.    wt: 3:   3 Like resistors in parallel
  771.    wt: 3:   24 Standards For Skill Develoment
  772.    wt: 3:   22 Student Centered Highschool Mathematics
  773.    wt: 3:   11 Help and Defend Your Child or Teens Education
  774.    wt: 3:   9 Streaming by Student Cooperation
  775.    wt: 3:   8 The Effect of Negative Remarks
  776.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  777.    wt: 3:   2 Reading and Writing Skills
  778.    wt: 3:   26 Function definitions done and coming
  779.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  780.    wt: 3:   12 Function Domain Recognition Exercises
  781.    wt: 3:   9 Set theory term relation possible origins
  782.    wt: 3:   7 Functions with finite domains
  783.    wt: 3:   2 cosine function more properties
  784.    wt: 3:   1 cosine function properties
  785.    wt: 3:   28 Expressing products of sines cosines as sums
  786.    wt: 3:   17F Law of cosines
  787.    wt: 3:   8 period of tangent function
  788.    wt: 3:   7 period of sine and cosine
  789.    wt: 3:   1 Unit Points Reflections Rotations
  790.    wt: 3:   14 Law of cosines
  791.    wt: 3:   9 The complex number valued trig function cis
  792.    wt: 3:   4 Multiplication Properties
  793.    wt: 3:   7 Trignometric Ratios Unit Circle
  794.    wt: 3:   8 Sets of Numbers
  795.    wt: 3:   1 Finite Sets
  796.    wt: 3:   10 dividing signed numbers
  797.    wt: 3:   8 multiplying signed numbers
  798.    wt: 3:   8 Multiplication by Signed Numbers Integers
  799.    wt: 3:   7 Multiplication by Signs
  800.    wt: 3:   4 Adding Movements wiht opposite directions
  801.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  802.    wt: 3:   The 20 Times Table
  803.    wt: 3:   Postscript More on Better Performance
  804.    wt: 3:   Postscript For Better Performance
  805.    wt: 3:   Solutions For Arithmetic Exercises
  806.    wt: 3:   Chapter 9 The Two Ends
  807.    wt: 3:   Chapter 8 Modern Instruction
  808.    wt: 3:   Chapter 5 Four References
  809.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  810.    wt: 3:   M Words to extend arithmetic
  811.    wt: 3:   L Skills with take home value
  812.    wt: 3:   H Jigsaw puzzles and problem solving
  813.    wt: 3:   G. Written work formats for developing and showing skill
  814.    wt: 3:   F. The student teacher tutor feedback loop
  815.    wt: 3:   C. Domino effect of being careful
  816.    wt: 3:   A. Skill has to be seen to believed
  817.    wt: 2:   problemes responses
  818.    wt: 2:   logique deux enigme
  819.    wt: 2:   3 Energy Power Heat08
  820.    wt: 2:   C Energy Power03
  821.    wt: 2:   2 Unlike resistors in parallel01
  822.    wt: 2:   B Electromotive force conventional current01
  823.    wt: 2:   Home Tutoring and Home Schooling
  824.    wt: 2:   15 Counting For Parents
  825.    wt: 2:   10 Ends values for work study instruction
  826.    wt: 2:   7 Student Motivation
  827.    wt: 2:   1 Speaking Skills
  828.    wt: 2:   14 Surjections Injections Bijections
  829.    wt: 2:   Unit Circle Development of Trigonometry
  830.    wt: 2:   20 N th Roots of Complex Numbers
  831.    wt: 2:   19 N th Roots of Unity
  832.    wt: 2:   18 Sixth Roots of Unity
  833.    wt: 2:   17 Cube Roots of unity
  834.    wt: 2:   8 Unit Circle Development of Trigonometry
  835.    wt: 2:   6 Field Properties of Complex Number
  836.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  837.    wt: 2:   B Integer Long Division Multiple Choices
  838.    wt: 2:   9 Multiplying Integers
  839.    wt: 2:   Foreword
  840.    wt: 2:   Foreword
  841.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  842.    wt: 2:   J. More on written work and showing skill
  843.    wt: 2:   E. When and how to correct errors
  844.    wt: 2:   How to Build Skills and Confidence
  845.    wt: 2:   Road Safety Questions
  846.    wt: 1:   4 Energy Power Heat09
  847.    wt: 1:   2 Energy Power Heat07
  848.    wt: 1:   1 Energy Power Heat06
  849.    wt: 1:   A Energy Power01
  850.    wt: 1:   E Kirchoffs Second Law
  851.    wt: 1:   D Kirchoff First Law
  852.    wt: 1:   C Electromotive force conventional current02
  853.    wt: 1:   A Circuit Elements
  854.    wt: 1:   H more Routine to non routine problem solving
  855.    wt: 1:   B. Domino effect of errors
  856.    wt: 17:   13 Pythagorean spatial distance formulas
  857.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
  858.    wt: 15:   Parallel Lines and Parallel Transversals
  859.    wt: 15:   Parallel Lines and Alternating Corresponding Angles
  860.    wt: 15:   5 Cartesian Addition and Translation
  861.    wt: 15:   3 GE III Equation Addition and Multiplication
  862.    wt: 15:   3 Harder Cases Convert to Compare and Subtract
  863.    wt: 14:   Ramblings Introduction Algebra Essay
  864.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
  865.    wt: 14:   10 Pythagorean plane distance formula
  866.    wt: 14:   3 Rectangular Coordinates Review
  867.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
  868.    wt: 14:   3 Solving triangular system example
  869.    wt: 14:   3. How to add with decimals A sans conversions
  870.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
  871.    wt: 13:   Appendix 1 primary and preschool mathematic
  872.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
  873.    wt: 13:   Skills Chapter 3 Algebra
  874.    wt: 13:   8 quadratics backward use of various formulas
  875.    wt: 13:   3 Circle Arclengh Proportional to Central Angle
  876.    wt: 13:   Proportionality of Line Segments From Parallel Transversals
  877.    wt: 13:   6 Polar Multiplication and Rotation
  878.    wt: 13:   1 Cartesian Coordinates sans signs
  879.    wt: 13:   3 Two Examples
  880.    wt: 13:   3 Triangle Area Formula Example
  881.    wt: 13:   2 Another Rectangle Area Formula Example
  882.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
  883.    wt: 13:   Example 1. Area Between x and x squared
  884.    wt: 13:   Chapter 18. Slopes Areas Integration
  885.    wt: 13:   Chapter 17. Area Approximation
  886.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
  887.    wt: 13:   Chapter 14 Limits and Continuity with and sans Decimals
  888.    wt: 13:   Chapter 13. Acceleration
  889.    wt: 13:   Chapter 3. Slope Sign Analysis
  890.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  891.    wt: 12:   E LAMP Introduction Modern Mathematics
  892.    wt: 12:   B LAMP Introduction Curriculum Development Standards
  893.    wt: 12:   sign monoticity analysis example 3
  894.    wt: 12:   6 quadratics numerical approach
  895.    wt: 12:   9 Summary Degrees to Radians and back
  896.    wt: 12:   7 Radian Measures in special Triangles
  897.    wt: 12:   4 Circle Sector Area proportional to Central Angle
  898.    wt: 12:   2 Radian Measure Numerical Value of one degree
  899.    wt: 12:   Parallel Lines and Interior Angles
  900.    wt: 12:   3 Straight Lines Slope as Tangent of Inclination Angle
  901.    wt: 12:   13 Navigation Location from Angles to 2 Landmarks
  902.    wt: 12:   12 Spatial Coordinates
  903.    wt: 12:   9 Pythagorean Theorem Chinese Square Proof
  904.    wt: 12:   4 Polar Coordinates to and from
  905.    wt: 12:   2 Cartesian Coordinates with signs
  906.    wt: 12:   3 Lengths and Areas on Maps and Plans
  907.    wt: 12:   3 Inequalities Algebraically
  908.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
  909.    wt: 12:   4 Rates Ratios and Proporitionality
  910.    wt: 12:   3 Proportionality Examples
  911.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
  912.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
  913.    wt: 12:   2 More and Less Than for Counts and Measures
  914.    wt: 12:   4 GE III Animated Examples
  915.    wt: 12:   4 Solving a triangular system exercise
  916.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
  917.    wt: 12:   A Decimals Modular and Remainder Arithmetic
  918.    wt: 12:   Long Division forwards and backwards Example 3
  919.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
  920.    wt: 12:   Appendix 1 Decimals Comparison Method Take II
  921.    wt: 12:   Subtraction Another Video Lesson
  922.    wt: 12:   2 Subtraction Easy Case Examples
  923.    wt: 12:   7 Adding decimal fractions using decimal point
  924.    wt: 12:   11 Place Value SI Standard International way
  925.    wt: 12:   33 Chain Rule Real Player video examples
  926.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
  927.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
  928.    wt: 12:   Chapter 2. Slopes and Ski Trails
  929.    wt: 12:   Fall 1983 Calculus Appetizer
  930.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  931.    wt: 11:   Appendix 2 primary school Arithmetic 01
  932.    wt: 11:   I LAMP Introduction Study Habits
  933.    wt: 11:   H LAMP Introduction Instructional Concepts
  934.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  935.    wt: 11:   A Quadratics Summary
  936.    wt: 11:   9 quadratics physical and further context
  937.    wt: 11:   7 quadratic formulla derivation
  938.    wt: 11:   3 quadratics factoring by inspection
  939.    wt: 11:   2 quadratics graphing in general
  940.    wt: 11:   5 Natural Logarithm Calculator Exercises
  941.    wt: 11:   8 Radian Measures of Common Angles
  942.    wt: 11:   1 Degrees and Radians Introduction
  943.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
  944.    wt: 11:   Construction Methods and Criteria for Isometric and Similar Triangles
  945.    wt: 11:   14 Straight Lines Equations General Case
  946.    wt: 11:   34 sines and cosines of 2A 3A 4A 5A
  947.    wt: 11:   33 sines and cosines of 2A 3A 4A 5A
  948.    wt: 11:   11 Triangle Inequality
  949.    wt: 11:   8 Distance Between Points on a Line
  950.    wt: 11:   4 Fraction Operations Axiomatic Development
  951.    wt: 11:   5 Proportionality in Equivalent Fractions
  952.    wt: 11:   8 Pythagorean Relation Forwards Backwards
  953.    wt: 11:   5 Triangle Area Formula Backwards
  954.    wt: 11:   2 Addition and Multiplication Axioms
  955.    wt: 11:   5 Greater More Less Than Signs in General
  956.    wt: 11:   3 More and Less Than with Unlike Signs
  957.    wt: 11:   6 Algebraic Solution Example
  958.    wt: 11:   5 Algebraic Solutions Introduction
  959.    wt: 11:   4 Four Examples Fractional Coefficients
  960.    wt: 11:   3 Four Examples
  961.    wt: 11:   10 One Example
  962.    wt: 11:   9 Three Examples
  963.    wt: 11:   8 One Example
  964.    wt: 11:   7 Two Examples
  965.    wt: 11:   6 Three Examples
  966.    wt: 11:   5 Three Examples
  967.    wt: 11:   4 Two Examples
  968.    wt: 11:   2 Three Examples
  969.    wt: 11:   4 Circle Area Formula Example
  970.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
  971.    wt: 11:   8 Numerals Fractionals Quantals Take II
  972.    wt: 11:   13 Remainder Arithmetic Modulo 5 Example
  973.    wt: 11:   10 video Prime Factorization upto 23 squared
  974.    wt: 11:   7 Calculator Usage Notes and Cautions
  975.    wt: 11:   5 Prime Factorization and a Square Rule
  976.    wt: 11:   3 video Primes and Composites from 9 times table
  977.    wt: 11:   Long Division forwards and backwards Example 2
  978.    wt: 11:   Long Division forwards and backwards Example 1
  979.    wt: 11:   A Elementary Basis for Multiplication Methods
  980.    wt: 11:   Video Decimal Multiplication Geometric View Example 2
  981.    wt: 11:   Video Power Notation in Decimal Expansion
  982.    wt: 11:   Appendix 2 Three Decimal Subtraction Methods
  983.    wt: 11:   Subtraction with J Conversions Example
  984.    wt: 11:   7 Subtraction for Decimal Fractions with Exercises
  985.    wt: 11:   8 What skills and work habits to require
  986.    wt: 11:   6. Counting and adding units and mixed units
  987.    wt: 11:   5. How to add decimals C. Examples
  988.    wt: 11:   1. Explaining Addition Table
  989.    wt: 11:   Example 1 volume of a pyramid
  990.    wt: 11:   Area Between Crossing Curves Lesson Take 2
  991.    wt: 11:   Area Between Crossing Curves Lesson Take 1
  992.    wt: 11:   Example 3
  993.    wt: 11:   Area Between Curves Lesson Take 2
  994.    wt: 11:   Area Between Curves Lesson Take 1
  995.    wt: 11:   A Chain Rule Real Player video examples
  996.    wt: 11:   38 Formulas and derivatives for powers and roots
  997.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
  998.    wt: 11:   Postscript Pythagorean Theorem yet another proof
  999.    wt: 11:   Chapter 23 Links To Trigonometry
  1000.    wt: 11:   Chapter 21 Arrow Addition
  1001.    wt: 11:   Chapter 16. Velocity Approximation
  1002.    wt: 11:   Chapter 15. Slope Approximation
  1003.    wt: 11:   Chapter 12. Units and Slopes
  1004.    wt: 11:   Chapter 10 Slopes and Units
  1005.    wt: 11:   Chapter 9 About First Courses in Calculus
  1006.    wt: 11:   Chapter 7 Slopes and Velocity
  1007.    wt: 11:   Chapter 4. More Slope Sign Analysis
  1008.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
  1009.    wt: 10:   K LAMP Musings Science Education
  1010.    wt: 10:   J LAMP Introduction Extrinsic Origins
  1011.    wt: 10:   G LAMP Introduction Problem Solving Skills
  1012.    wt: 10:   F LAMP Introduction Prerequisites
  1013.    wt: 10:   A Introduction Objectives
  1014.    wt: 10:   Skills Chapter 5 Calculus
  1015.    wt: 10:   Ramblings Extrinsic numbers theory
  1016.    wt: 10:   Skills Chapter 1 Arithmetic
  1017.    wt: 10:   Skills Chapter 0 Introduction
  1018.    wt: 10:   7 logic review and decimals an odd combination
  1019.    wt: 10:   5 logarithms and exponentials etc
  1020.    wt: 10:   3 Euclidean Geometry Leanly
  1021.    wt: 10:   Applied Maths Program14092009 POMME variant
  1022.    wt: 10:   teaching tutoring algebraic reason
  1023.    wt: 10:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  1024.    wt: 10:   sign monoticity analysis example 4
  1025.    wt: 10:   sign monoticity analysis example 2
  1026.    wt: 10:   sign monoticity analysis example 1
  1027.    wt: 10:   5 quadratics completing the square
  1028.    wt: 10:   4 quadratics difference of two squares
  1029.    wt: 10:   1 quadratics graphing exercises
  1030.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  1031.    wt: 10:   6 Radian Measure to Degrees
  1032.    wt: 10:   5 Degrees to Radian Measure
  1033.    wt: 10:   14 Why Scalar Multiplication Distributes Physical Argument
  1034.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
  1035.    wt: 10:   Triangle Angles Sum To 180 Degrees
  1036.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  1037.    wt: 10:   12 Straight Lines Graphing mx plus b
  1038.    wt: 10:   6 Tangent Function Inclination Angle Take 2
  1039.    wt: 10:   35 sines and cosines of 2A 3A 4A 5A
  1040.    wt: 10:   7 Complex Numbers Appetizer
  1041.    wt: 10:   4 Angles on Maps Plans drawn to scale
  1042.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
  1043.    wt: 10:   15 Head to Tails in place Addition Associative
  1044.    wt: 10:   5 Areas of Rectangles Revisited
  1045.    wt: 10:   2 Fraction Operations Physical Development
  1046.    wt: 10:   2 Algebraic View
  1047.    wt: 10:   1 What is Proportionality
  1048.    wt: 10:   6 Equations and Systems Equivalent or Implied
  1049.    wt: 10:   5 Equality in Algebra
  1050.    wt: 10:   4 Subtraction and Division Axioms
  1051.    wt: 10:   4 Comparison of Negative Numbers
  1052.    wt: 10:   1 Real Numbers Comparison
  1053.    wt: 10:   3 Geometric Formulas and Function Notation
  1054.    wt: 10:   2 GE II Comparison
  1055.    wt: 10:   1 GE Substitution four examples
  1056.    wt: 10:   2 Essentially one exercises three with solution
  1057.    wt: 10:   1 Essentially One Unknown
  1058.    wt: 10:   1 Proper Equal Sign Usage
  1059.    wt: 10:   Skill Development Notes
  1060.    wt: 10:   13 Naming Identifying Formulas with Words
  1061.    wt: 10:   8 Compound Interest Formula Evaluation
  1062.    wt: 10:   1 Squares and Square Roots Introduction
  1063.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
  1064.    wt: 10:   A Similarities between Fractions and Two Term Ratios
  1065.    wt: 10:   13 Fraction Comparison Algebraic View
  1066.    wt: 10:   7 Numerals Fractionals Quantals
  1067.    wt: 10:   6 Multiplication Algebraically Take II
  1068.    wt: 10:   3 Unit fraction of a fraction
  1069.    wt: 10:   15 Remainder Arithmetic Modulo 9 Example
  1070.    wt: 10:   14 Remainder Arithmetic Modulo 9 Example
  1071.    wt: 10:   12 Remainder Arithmetic Modulo 10 Example
  1072.    wt: 10:   9 Remainder Arithmetic Divisibility by 5
  1073.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
  1074.    wt: 10:   7 Remainder Arithmetic Modulo 5 Examples I
  1075.    wt: 10:   18 video Count Factors given Prime Factorization
  1076.    wt: 10:   15 video Factors of 20 using Prime Factorization
  1077.    wt: 10:   13 video Factors of 24 using prime
  1078.    wt: 10:   9 video Prime Factorization upto 19 squared
  1079.    wt: 10:   4 video Prime Factorization Introduction
  1080.    wt: 10:   1 video how Products are bigger than factor
  1081.    wt: 10:   5 Decimal Fraction Multiplication
  1082.    wt: 10:   8 Subtraction with Units of Measure
  1083.    wt: 10:   6 Subtraction with Conversion Example with Exercises
  1084.    wt: 10:   5 A Tip for Efficent Subtraction
  1085.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
  1086.    wt: 10:   Appendix 1 Counting Revisited 15 minute video
  1087.    wt: 10:   4. How to add with decimals B with conversions
  1088.    wt: 10:   2 Decimal Counting Practices
  1089.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
  1090.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  1091.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  1092.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
  1093.    wt: 10:   4 Groups of 3 Place Value in Decimal Fractions
  1094.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
  1095.    wt: 10:   Example 2 volume of a cone
  1096.    wt: 10:   Example 4 with x function of y
  1097.    wt: 10:   Example 2
  1098.    wt: 10:   Example 1
  1099.    wt: 10:   36 Cube root derivative animated
  1100.    wt: 10:   28 Chain Rule Preparation for a Proof
  1101.    wt: 10:   25 Chain Rule Animated Examples Continued
  1102.    wt: 10:   24 Chain Rule Animated Examples
  1103.    wt: 10:   7 Animated Differentiation Examples
  1104.    wt: 10:   13 Limits with Parameters and Derivatives Take II
  1105.    wt: 10:   Chapter 20 Vectors and Complex Numbers
  1106.    wt: 10:   Chapter 11. Graphing Slope versus Position
  1107.    wt: 10:   Chapter 8. Slope Interpretation
  1108.    wt: 10:   Chapter 1.Introduction
  1109.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
  1110.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
  1111.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
  1112.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1113.    wt: 10:   Chapter 3 What is in chapters 4 to 8
  1114.    wt: 10:   More Algebra and Slope based Calculus Preview
  1115.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  1116.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  1117.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

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7 Axioms Logic and Equivalent Equations
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10 Examples of Algebraic Reasoning
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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.

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Logic-Reason for all
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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
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3 Rct +Polr Coordinates
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Logarithms-ax & m/nth roots
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What is a Variable
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