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.

Location: Site Entrance << Search

[1] [2] [3]


Key Word Search

Folder Search

76 matches:

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

Web Page Search

478 matches:

  1.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  2.    wt: 4:   Objectives for Mathematics and Logic Language Skill Development
  3.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  5.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  6.    wt: 3:   24 Standards For Skill Develoment Take II
  7.    wt: 3:   24 Standards For Skill Develoment
  8.    wt: 3:   Ages 12 to 14 Skills with take home value
  9.    wt: 3:   Ages 4 plus to 5 plus
  10.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  11.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  12.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  13.    wt: 3:   14 cosine even and sine and tangent are odd
  14.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  15.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  16.    wt: 3:   5 Common Divisors 60 45 via Prime
  17.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  18.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  19.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  20.    wt: 3:   I. Logic and language skills
  21.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  22.    wt: 2:   Skills Chapter 5 Calculus
  23.    wt: 2:   Skills Chapter 4 Logic
  24.    wt: 2:   5 logarithms and exponentials etc
  25.    wt: 2:   05 13 OldSiteEntrancePage
  26.    wt: 2:   04 25 when to stop or suspend mathemat
  27.    wt: 2:   chapitre 04 06 engagements
  28.    wt: 2:   chapitre 04 05 Implication versus suggestion
  29.    wt: 2:   chapitre 04 04 Parlons de la logique
  30.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  31.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  32.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  33.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  34.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  35.    wt: 2:   17 Math Booklets for children and young teenagers
  36.    wt: 2:   14 Multiplication and Times Tables
  37.    wt: 2:   5 Patience Please for Yourself and Your Charges
  38.    wt: 2:   4 Learning Takes Time and Effort
  39.    wt: 2:   2 Reading and Writing Skills
  40.    wt: 2:   Ages 12 to 14 Geometry
  41.    wt: 2:   Ages 12 to 14 Arithmetic
  42.    wt: 2:   Ages 3 plus to 4 plus
  43.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  44.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  45.    wt: 2:   4 Function notation in and beyond mathematics
  46.    wt: 2:   15 cosecant function Definition Graph and Inverse
  47.    wt: 2:   14 secant function Definition Graph and Inverse
  48.    wt: 2:   15 Dot and Cross Product
  49.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  50.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  51.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  52.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  53.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  54.    wt: 2:   7 Exercises to test skill and concept mastery
  55.    wt: 2:   5 Cartesian Addition and Translation
  56.    wt: 2:   4 Polar Coordinates to and from
  57.    wt: 2:   3 Lengths and Areas on Maps and Plans
  58.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  59.    wt: 2:   2 Combing Counts Addition Skills and Principles
  60.    wt: 2:   4 Fraction Operations Axiomatic Development
  61.    wt: 2:   4 Rates Ratios and Proporitionality
  62.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  63.    wt: 2:   4 Subtraction and Division Axioms
  64.    wt: 2:   2 More and Less Than for Counts and Measures
  65.    wt: 2:   Skill Development Notes
  66.    wt: 2:   1 Written work formats for developing and showing skill
  67.    wt: 2:   5 Talking about Numbers and Quantities
  68.    wt: 2:   4 A Brief Story of numbers and algebra
  69.    wt: 2:   1 More and Less Than for Counts and Measures
  70.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  71.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  72.    wt: 2:   4 LCM of 8 and 10 via Prime
  73.    wt: 2:   5 lengths and signs of numbers
  74.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  75.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  76.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  77.    wt: 2:   14 Adding and Subtracting with Like Denominators
  78.    wt: 2:   5 Zero Movement and Additive Inverses
  79.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  80.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  81.    wt: 2:   5 Remainder Arithmetic Modulo 5
  82.    wt: 2:   14 video Factors of 24 Take II
  83.    wt: 2:   7 Calculator Usage Notes and Cautions
  84.    wt: 2:   5 Prime Factorization and a Square Rule
  85.    wt: 2:   4 Two and Three Digit Multipliers
  86.    wt: 2:   1 Why 3 times 5 gives 15
  87.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  88.    wt: 2:   8 What skills and work habits to require
  89.    wt: 2:   6. Counting and adding units and mixed units
  90.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  91.    wt: 2:   015 School and work day counting tables
  92.    wt: 2:   4 Mixing and Changing Units of Time
  93.    wt: 2:   38 Formulas and derivatives for powers and roots
  94.    wt: 2:   15 sine and cosine derivatives 3rd step
  95.    wt: 2:   14 sine and cosine derivatives 2nd step
  96.    wt: 2:   5 Jumps and absence of unlimited error control
  97.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  98.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  99.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  100.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  101.    wt: 2:   Chapter 12. Shorthand Usage Guide
  102.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  103.    wt: 2:   Chapter 24 Direct and Indirect Reason
  104.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  105.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  106.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  107.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  108.    wt: 2:   Chapter 2 Skill Development
  109.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  110.    wt: 2:   J. More on written work and showing skill
  111.    wt: 2:   G. Written work formats for developing and showing skill
  112.    wt: 2:   How to Build Skills and Confidence
  113.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  114.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  115.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  116.    wt: 2:   Systematic Algebra Skill Development Missing Links
  117.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  118.    wt: 1:   Appendix 1 primary and preschool mathematic
  119.    wt: 1:   G LAMP Introduction Problem Solving Skills
  120.    wt: 1:   Skills Chapter 3 Algebra
  121.    wt: 1:   Skills Chapter 2 Geometry
  122.    wt: 1:   Skills Chapter 1 Arithmetic
  123.    wt: 1:   Skills Chapter 0 Introduction
  124.    wt: 1:   7 logic review and decimals an odd combination
  125.    wt: 1:   4 algebra
  126.    wt: 1:   Applied Maths Program14092009 POMME variant
  127.    wt: 1:   key notes and themes
  128.    wt: 1:   what should be learnt and When
  129.    wt: 1:   04 29 New Mathematics Curriculum
  130.    wt: 1:   standards for course material
  131.    wt: 1:   Education in mathematics science and technology
  132.    wt: 1:   Motivation and Context Problem
  133.    wt: 1:   fairness and inductive principles for instruction
  134.    wt: 1:   chapitre 05 00 Deception
  135.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  136.    wt: 1:   chapitre 04 09 Regles accidentelles
  137.    wt: 1:   chapitre 04 08 Limitations et benefices
  138.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  139.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  140.    wt: 1:   chapitre 04 02 Deuxieme enigme
  141.    wt: 1:   chapitre 04 01 Premiere enigme
  142.    wt: 1:   chapitre 04 00 Les regles d implication
  143.    wt: 1:   4 Energy Power Heat09
  144.    wt: 1:   E Energy Power05
  145.    wt: 1:   D Energy Power04
  146.    wt: 1:   F Wire Resistance Calculation04
  147.    wt: 1:   Home Tutoring and Home Schooling
  148.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  149.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  150.    wt: 1:   22 Student Centered Highschool Mathematics
  151.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  152.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  153.    wt: 1:   15 Counting For Parents
  154.    wt: 1:   13 Addition and Addition Tables
  155.    wt: 1:   12 Goals and Objectives For Mathematics
  156.    wt: 1:   11 Help and Defend Your Child or Teens Education
  157.    wt: 1:   1 Speaking Skills
  158.    wt: 1:   Ages 10 to 12 Geometry
  159.    wt: 1:   Ages 10 to 12 Arithmetic
  160.    wt: 1:   Ages 9 to 10
  161.    wt: 1:   Ages 8 to 9
  162.    wt: 1:   Ages 7 to 8
  163.    wt: 1:   Ages 6 to 7
  164.    wt: 1:   sign monoticity analysis example 4
  165.    wt: 1:   26 Function definitions done and coming
  166.    wt: 1:   19 Horizontal line rule and method
  167.    wt: 1:   18 Vertical Line Rule and Method
  168.    wt: 1:   17 Function maxima minima and their location
  169.    wt: 1:   15 Sign analysis of functions
  170.    wt: 1:   14 Surjections Injections Bijections
  171.    wt: 1:   11 Function Domain Range Source and Targets
  172.    wt: 1:   8 Set view of relations and functions
  173.    wt: 1:   6 Set Existence Formation and Notation
  174.    wt: 1:   5 Function notation for geometric transformations
  175.    wt: 1:   9 quadratics physical and further context
  176.    wt: 1:   5 quadratics completing the square
  177.    wt: 1:   4 quadratics difference of two squares
  178.    wt: 1:   11 Growth and Decay in Biology
  179.    wt: 1:   10 Exponential Growth and Decay Models
  180.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  181.    wt: 1:   5 Natural Logarithm Calculator Exercises
  182.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  183.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  184.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  185.    wt: 1:   4 Polynomials Long division linear divisor
  186.    wt: 1:   16 cotangent function Definition Graph and Inverse
  187.    wt: 1:   13 cosecant function Definition Graph and Inverse
  188.    wt: 1:   5 Swapping Coordinates is a reflection
  189.    wt: 1:   4 possible motivation for term arccos
  190.    wt: 1:   9 Summary Degrees to Radians and back
  191.    wt: 1:   5 Degrees to Radian Measure
  192.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  193.    wt: 1:   1 Degrees and Radians Introduction
  194.    wt: 1:   A Global Time and Navigation
  195.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  196.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  197.    wt: 1:   5 Head To Tail Arrow Addition
  198.    wt: 1:   4 Resultant of a Sum of Movements
  199.    wt: 1:   Vector and Complex Number Applet
  200.    wt: 1:   4 graphing y=Asin(x c)
  201.    wt: 1:   Parallel Lines and Parallel Transversals
  202.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  203.    wt: 1:   Parallel Lines and Interior Angles
  204.    wt: 1:   14 Straight Lines Equations General Case
  205.    wt: 1:   5 Tangent Function Graph
  206.    wt: 1:   4 Tangent Function Properties
  207.    wt: 1:   29 secant cosecant and cotangent for acute angles
  208.    wt: 1:   27 Logarithmic use of products of sines and cosines
  209.    wt: 1:   26 Formulas for products of sines and cosines
  210.    wt: 1:   25 tangent double angle formula Slope connection
  211.    wt: 1:   24 tangent Angle Difference Formula
  212.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  213.    wt: 1:   21 sine and cosine Half Angle Formulas
  214.    wt: 1:   20 sine and cosine Double Angle Formulas
  215.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  216.    wt: 1:   17E Trig Formulas for dot and cross Products
  217.    wt: 1:   17D cis formulas for sine cosines and tangent
  218.    wt: 1:   17C sine and cosine double triple angle formulas
  219.    wt: 1:   15 sine cosine Complementary Angle Relations
  220.    wt: 1:   10 Graphs of sines and cosines many periods
  221.    wt: 1:   9 Graphs of sine and cosine over one period
  222.    wt: 1:   7 period of sine and cosine
  223.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  224.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  225.    wt: 1:   Unit Circle Development of Trigonometry
  226.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  227.    wt: 1:   21 Logarithms Powers and Exponentials
  228.    wt: 1:   16 References and Originality Question
  229.    wt: 1:   15 Pythagorean Theorem Converse
  230.    wt: 1:   14 Law of cosines
  231.    wt: 1:   13 Trig Formulas for dot and cross Products
  232.    wt: 1:   12 cis formulas for sine cosines and tangent
  233.    wt: 1:   11 sine and cosine double triple angle formulas
  234.    wt: 1:   8 Unit Circle Development of Trigonometry
  235.    wt: 1:   5 An Easy Proof of the Distributive Law
  236.    wt: 1:   4 Multiplication Properties
  237.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  238.    wt: 1:   3 Trigonometric Ratios sine and cosine
  239.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  240.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  241.    wt: 1:   8 Similarity of Triangles and Polygons
  242.    wt: 1:   4 Similarity Definition with Coordinate
  243.    wt: 1:   10 Midpoint of [a b] and [b a]
  244.    wt: 1:   5 Algebraic View of Slopes
  245.    wt: 1:   4 Equations for lines three forms
  246.    wt: 1:   1 Numerical view of lines and their equations
  247.    wt: 1:   What is and is not here
  248.    wt: 1:   6 Polar Multiplication and Rotation
  249.    wt: 1:   16 Angles Subtended By Chords and Diameters
  250.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  251.    wt: 1:   14 Parallel Lines Postulate
  252.    wt: 1:   6 Ruler and compass Angle Bisection
  253.    wt: 1:   5 Side Angle Side
  254.    wt: 1:   4 Side Side Side
  255.    wt: 1:   1 Initial Concepts and Terms
  256.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  257.    wt: 1:   4 Angles on Maps Plans drawn to scale
  258.    wt: 1:   A Modular and Remainder Arithmetic
  259.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  260.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  261.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  262.    wt: 1:   15 Head to Tails in place Addition Associative
  263.    wt: 1:   13 Arrows and Vectors in a Plane
  264.    wt: 1:   11 Signed Number Addition and Addition Properties
  265.    wt: 1:   8 Division and Mulplication of Compound Fractions
  266.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  267.    wt: 1:   4 Location of Point in Decimal Addition
  268.    wt: 1:   B Decimal Comparison and Subtraction
  269.    wt: 1:   5 Distributive Law for Whole Numbers
  270.    wt: 1:   4 Commutative Law Groups Counting Form
  271.    wt: 1:   3 Multiplicative Counting Skills Principles
  272.    wt: 1:   5 Areas of Rectangles Revisited
  273.    wt: 1:   2 Fraction Operations Physical Development
  274.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  275.    wt: 1:   5 Proportionality in Equivalent Fractions
  276.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  277.    wt: 1:   6 Compound Interest Forward and Backwards
  278.    wt: 1:   5 Triangle Area Formula Backwards
  279.    wt: 1:   6 Equations and Systems Equivalent or Implied
  280.    wt: 1:   5 Equality in Algebra
  281.    wt: 1:   2 Addition and Multiplication Axioms
  282.    wt: 1:   5 Greater More Less Than Signs in General
  283.    wt: 1:   4 Comparison of Negative Numbers
  284.    wt: 1:   3 More and Less Than with Unlike Signs
  285.    wt: 1:   15 Real Number Division
  286.    wt: 1:   14 Real Number Multiplication
  287.    wt: 1:   10 Real Number Lengths and Signs
  288.    wt: 1:   8 Coordinates for Maps and Planes
  289.    wt: 1:   5 Rational Numbers More
  290.    wt: 1:   4 Rational Numbers
  291.    wt: 1:   1 Whole and Natural Numbers
  292.    wt: 1:   5 Independent versus Dependent Variables
  293.    wt: 1:   4 Changing Letters
  294.    wt: 1:   3 Geometric Formulas and Function Notation
  295.    wt: 1:   1 Formulas Dependence and Function Notation
  296.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  297.    wt: 1:   4 GE III Animated Examples
  298.    wt: 1:   3 GE III Equation Addition and Multiplication
  299.    wt: 1:   4 Solving a triangular system exercise
  300.    wt: 1:   5 Algebraic Solutions Introduction
  301.    wt: 1:   4 Four Examples Fractional Coefficients
  302.    wt: 1:   1 Proper Equal Sign Usage
  303.    wt: 1:   5 Three Examples
  304.    wt: 1:   4 Two Examples
  305.    wt: 1:   Formula Usage Show Work Format
  306.    wt: 1:   5 Box Volume Formula Example
  307.    wt: 1:   4 Circle Area Formula Example
  308.    wt: 1:   9 Sets in Probability and Statistics
  309.    wt: 1:   5 Product Builder Notation
  310.    wt: 1:   4 Subset Builder Notation
  311.    wt: 1:   1 Three Skills For Algebra
  312.    wt: 1:   4 Greater More Less Than Signs in General
  313.    wt: 1:   2 More and Less Than with Unlike Signs
  314.    wt: 1:   5 Square Roots with primes more still
  315.    wt: 1:   4 Square Roots with primes more
  316.    wt: 1:   1 Squares and Square Roots Introduction
  317.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  318.    wt: 1:   7 GCD and LCM from prime factorization
  319.    wt: 1:   2 Least Common Multiple LCM intro via list method
  320.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  321.    wt: 1:   4 Counting with Trees Product Rule Take I
  322.    wt: 1:   3 Counting with Tables and Trees II
  323.    wt: 1:   2 Counting with Tables and Trees I
  324.    wt: 1:   1 Counting and Counting Methods I
  325.    wt: 1:   11 What are real lengths and numbers
  326.    wt: 1:   7 negative and additive inverse
  327.    wt: 1:   4 signed coordinates for regions in space
  328.    wt: 1:   3 signed coordinates for maps and planes
  329.    wt: 1:   2 signed and unsigned numbers as coordinates
  330.    wt: 1:   4 Fractions with Units
  331.    wt: 1:   3 Multiplying Units and Numbers
  332.    wt: 1:   2 Equality and Units
  333.    wt: 1:   1 Addition and Subtraction with Units
  334.    wt: 1:   B Fractions and Two Term Ratios
  335.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  336.    wt: 1:   21 Reciprocals for Fractions and Wholes
  337.    wt: 1:   17 Efficient Ways to Add and Subtract
  338.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  339.    wt: 1:   9 Improper Fractions and Mixed Numbers
  340.    wt: 1:   5 Equivalent Fractions
  341.    wt: 1:   4 Fraction Multiplication
  342.    wt: 1:   11 Adding Integers Formulas and Examples
  343.    wt: 1:   4 Adding Movements wiht opposite directions
  344.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  345.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  346.    wt: 1:   26 Divisibility by 2 3 5 Example
  347.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  348.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  349.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  350.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  351.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  352.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  353.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  354.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  355.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  356.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  357.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  358.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  359.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  360.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  361.    wt: 1:   17 Identify and Count Factors using Primes
  362.    wt: 1:   15 video Factors of 20 using Prime Factorization
  363.    wt: 1:   13 video Factors of 24 using prime
  364.    wt: 1:   12 LCD GCD and LCM using Primes
  365.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  366.    wt: 1:   4 video Prime Factorization Introduction
  367.    wt: 1:   3 video Primes and Composites from 9 times table
  368.    wt: 1:   2 Prime and Composites less than 16
  369.    wt: 1:   Division with Counts and Length
  370.    wt: 1:   Long Division forwards and backwards Example 3
  371.    wt: 1:   Long Division forwards and backwards Example 2
  372.    wt: 1:   Long Division forwards and backwards Example 1
  373.    wt: 1:   10 Division by Five Long and Short Ways
  374.    wt: 1:   5 Long Division Include Zeroes or not
  375.    wt: 1:   4 Division with 2 Digit Divsors
  376.    wt: 1:   5 Decimal Fraction Multiplication
  377.    wt: 1:   5 A Tip for Efficent Subtraction
  378.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  379.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  380.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  381.    wt: 1:   5. How to add decimals C. Examples
  382.    wt: 1:   4. How to add with decimals B with conversions
  383.    wt: 1:   11 Place Value SI Standard International way
  384.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  385.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  386.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  387.    wt: 1:   Quick history of numbers and algebra
  388.    wt: 1:   Exact Arithmetic Wholes and Fractions
  389.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  390.    wt: 1:   014 Counting Days with Calendars
  391.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  392.    wt: 1:   5 Conversion Arithmetic
  393.    wt: 1:   3 Units and Lengths of Time
  394.    wt: 1:   2 Time and Date Matters in School
  395.    wt: 1:   1 Intro of Kids To Time Date Skills
  396.    wt: 1:   Example 1. Area Between x and x squared
  397.    wt: 1:   Example 4 with x function of y
  398.    wt: 1:   5 Area Under Curve Exercise
  399.    wt: 1:   4 Definite Integrals Evaluation Exercises
  400.    wt: 1:   4 Second derivative test exercise example
  401.    wt: 1:   34 Derivative of exponential function
  402.    wt: 1:   25 Chain Rule Animated Examples Continued
  403.    wt: 1:   24 Chain Rule Animated Examples
  404.    wt: 1:   17 Derivatives of quotients of sine and cosine
  405.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  406.    wt: 1:   13 sine and cosine derivatives 1st step
  407.    wt: 1:   5 Product Rule
  408.    wt: 1:   4 Sum Rule
  409.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  410.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  411.    wt: 1:   9 Limits Continuity and Composition
  412.    wt: 1:   4 Numerical properties
  413.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  414.    wt: 1:   G.5 Motions With Bounded Velocities
  415.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  416.    wt: 1:   F.5b Extreme Value Theorem
  417.    wt: 1:   F.5a Equicontinuity Theorems
  418.    wt: 1:   F.4 Finite Covering Theorem
  419.    wt: 1:   PostScript For and Against Decimal Perspectives
  420.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  421.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  422.    wt: 1:   Chapter 15. Slope Approximation
  423.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  424.    wt: 1:   Chapter 12. Units and Slopes
  425.    wt: 1:   Chapter 10 Slopes and Units
  426.    wt: 1:   Chapter 7 Slopes and Velocity
  427.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  428.    wt: 1:   Chapter 5. Slope Sign Tests
  429.    wt: 1:   Chapter 4. More Slope Sign Analysis
  430.    wt: 1:   Chapter 2. Slopes and Ski Trails
  431.    wt: 1:   Appendix E. How To Study Mathematics and Why
  432.    wt: 1:   Appendix D. What to do in School and Why
  433.    wt: 1:   Chapter 31 Direct and Indirect Reason
  434.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  435.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  436.    wt: 1:   Chapter 25. Mathematical Induction Examples
  437.    wt: 1:   Chapter 25. Mathematical Induction Examples
  438.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  439.    wt: 1:   Chapter 20. Degrees and Radians
  440.    wt: 1:   Chapter 19. Functions and Sets
  441.    wt: 1:   Chapter 15. Solving Linear Equations
  442.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  443.    wt: 1:   Chapter 11. Why Shorthand
  444.    wt: 1:   Chapter 10 Describing and Changing Calculations
  445.    wt: 1:   Chapter 8 Three Skills For Algebra
  446.    wt: 1:   Chapter 6 Change of Language
  447.    wt: 1:   Chapter 4 Longer Chains of Reason
  448.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  449.    wt: 1:   Chapter 5 Four References
  450.    wt: 1:   Chapter 2 For and Against Mathematics
  451.    wt: 1:   Postscript B More on Story Telling and Reason
  452.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  453.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  454.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  455.    wt: 1:   Chapter 18 Sense and Knowledge
  456.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  457.    wt: 1:   Chapter 15 Objective Processes
  458.    wt: 1:   Chapter 8 Change of Language
  459.    wt: 1:   Chapter 5 Deception
  460.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  461.    wt: 1:   R Why Learn Mathematics Skills
  462.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  463.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  464.    wt: 1:   O On Learning Mathematics and Science
  465.    wt: 1:   L Skills with take home value
  466.    wt: 1:   N Improving Marks on Tests and Finals
  467.    wt: 1:   H Jigsaw puzzles and problem solving
  468.    wt: 1:   E. When and how to correct errors
  469.    wt: 1:   D. Check work a must with a caution
  470.    wt: 1:   A. Skill has to be seen to believed
  471.    wt: 1:   Helping the Blind in Logic and Mathematics
  472.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  473.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  474.    wt: 1:   More Algebra and Slope based Calculus Preview
  475.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  476.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  477.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  478.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

1050 matches:

  1.    wt: 9:   5 Common Divisors 60 45 via Prime
  2.    wt: 9:   LCM 60 45 Avoid List Method Use Prime
  3.    wt: 9:   5 Zero Movement and Additive Inverses
  4.    wt: 9:   27 Divisibility by 2 3 6 5 9 10 Example
  5.    wt: 9:   21 Remainder Arithmetic Modulo 3
  6.    wt: 9:   19 Remainder Arithmetic Rule of 9 for checking sums III
  7.    wt: 9:   18 Remainder Arithmetic Rule of 9 for checking sums II
  8.    wt: 9:   17 Remainder Arithmetic Rule of 9 for checking sums I
  9.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
  10.    wt: 9:   10 Remainder Arithmetic Long Division by 5 Quickly
  11.    wt: 9:   5 Remainder Arithmetic Modulo 5
  12.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  13.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  14.    wt: 8:   5 Reciprocals and Division for Fractions with Units
  15.    wt: 8:   4 Adding Movements wiht opposite directions
  16.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  17.    wt: 8:   26 Divisibility by 2 3 5 Example
  18.    wt: 8:   23 Remainder Arithmetic Modulo 2
  19.    wt: 8:   22 Remainder Arithmetic Modulo 3 more
  20.    wt: 8:   16 Remainder Arithmetic Modulo 9 Example 2
  21.    wt: 8:   15 Remainder Arithmetic Modulo 9 Example
  22.    wt: 8:   14 Remainder Arithmetic Modulo 9 Example
  23.    wt: 8:   13 Remainder Arithmetic Modulo 5 Example
  24.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  25.    wt: 8:   8 Remainder Arithmetic Morulo 5 Examples II
  26.    wt: 8:   7 Remainder Arithmetic Modulo 5 Examples I
  27.    wt: 8:   6 Remainder Arithmetic Modulo 5 Propertie
  28.    wt: 8:   4 Remainder Arithmetic Modulo 10 in general
  29.    wt: 8:   1 Remainder Arithmetic Modulo 10
  30.    wt: 8:   14 video Factors of 24 Take II
  31.    wt: 8:   5 Prime Factorization and a Square Rule
  32.    wt: 8:   4 Subtraction with Conversions Borrows and Letter J
  33.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
  34.    wt: 7:   24 Monotoncity Injectivity and Inverse Functions
  35.    wt: 7:   4 Function notation in and beyond mathematics
  36.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  37.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  38.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  39.    wt: 7:   7 Exercises to test skill and concept mastery
  40.    wt: 7:   5 Algebraic View of Slopes
  41.    wt: 7:   4 Equations for lines three forms
  42.    wt: 7:   4 Greater More Less Than Signs in General
  43.    wt: 7:   1 More and Less Than for Counts and Measures
  44.    wt: 7:   1 Squares and Square Roots Introduction
  45.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  46.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  47.    wt: 7:   4 LCM of 8 and 10 via Prime
  48.    wt: 7:   1 Counting and Counting Methods I
  49.    wt: 7:   5 lengths and signs of numbers
  50.    wt: 7:   4 Fractions with Units
  51.    wt: 7:   3 Multiplying Units and Numbers
  52.    wt: 7:   2 Equality and Units
  53.    wt: 7:   1 Addition and Subtraction with Units
  54.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  55.    wt: 7:   15 Adding and Subtracting with Unlike Denominators
  56.    wt: 7:   14 Adding and Subtracting with Like Denominators
  57.    wt: 7:   5 Equivalent Fractions
  58.    wt: 7:   4 Fraction Multiplication
  59.    wt: 7:   D Remainders Modulo 11 Pair Rule
  60.    wt: 7:   C Divisibility by 11 Integer Recognition Method
  61.    wt: 7:   B Integer Long Division Multiple Choices
  62.    wt: 7:   11 Adding Integers Formulas and Examples
  63.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  64.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  65.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  66.    wt: 7:   15 video Factors of 20 using Prime Factorization
  67.    wt: 7:   7 Calculator Usage Notes and Cautions
  68.    wt: 7:   4 video Prime Factorization Introduction
  69.    wt: 7:   Division with Counts and Length
  70.    wt: 7:   5 Long Division Include Zeroes or not
  71.    wt: 7:   4 Division with 2 Digit Divsors
  72.    wt: 7:   4 Two and Three Digit Multipliers
  73.    wt: 7:   5 A Tip for Efficent Subtraction
  74.    wt: 7:   8 What skills and work habits to require
  75.    wt: 7:   6. Counting and adding units and mixed units
  76.    wt: 7:   5. How to add decimals C. Examples
  77.    wt: 7:   4. How to add with decimals B with conversions
  78.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  79.    wt: 6:   24 Standards For Skill Develoment Take II
  80.    wt: 6:   24 Standards For Skill Develoment
  81.    wt: 6:   sign monoticity analysis example 4
  82.    wt: 6:   15 Sign analysis of functions
  83.    wt: 6:   14 Surjections Injections Bijections
  84.    wt: 6:   5 Function notation for geometric transformations
  85.    wt: 6:   15 cosecant function Definition Graph and Inverse
  86.    wt: 6:   14 secant function Definition Graph and Inverse
  87.    wt: 6:   9 Summary Degrees to Radians and back
  88.    wt: 6:   5 Degrees to Radian Measure
  89.    wt: 6:   1 Degrees and Radians Introduction
  90.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  91.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  92.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  93.    wt: 6:   8 Similarity of Triangles and Polygons
  94.    wt: 6:   4 Similarity Definition with Coordinate
  95.    wt: 6:   Four Simple Exercises
  96.    wt: 6:   10 Midpoint of [a b] and [b a]
  97.    wt: 6:   1 Numerical view of lines and their equations
  98.    wt: 6:   What is and is not here
  99.    wt: 6:   5 Cartesian Addition and Translation
  100.    wt: 6:   4 Polar Coordinates to and from
  101.    wt: 6:   4 Rates Ratios and Proporitionality
  102.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  103.    wt: 6:   4 GE III Animated Examples
  104.    wt: 6:   2 More and Less Than with Unlike Signs
  105.    wt: 6:   5 Square Roots with primes more still
  106.    wt: 6:   4 Square Roots with primes more
  107.    wt: 6:   2 Square Roots with Prime
  108.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  109.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  110.    wt: 6:   7 GCD and LCM from prime factorization
  111.    wt: 6:   2 Least Common Multiple LCM intro via list method
  112.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  113.    wt: 6:   4 Counting with Trees Product Rule Take I
  114.    wt: 6:   3 Counting with Tables and Trees II
  115.    wt: 6:   2 Counting with Tables and Trees I
  116.    wt: 6:   4 signed coordinates for regions in space
  117.    wt: 6:   7 Converting or Changing Units
  118.    wt: 6:   6 Simplification of Fractions with Units
  119.    wt: 6:   B Fractions and Two Term Ratios
  120.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  121.    wt: 6:   21 Reciprocals for Fractions and Wholes
  122.    wt: 6:   17 Efficient Ways to Add and Subtract
  123.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  124.    wt: 6:   9 Improper Fractions and Mixed Numbers
  125.    wt: 6:   A Associative Law Theorectical Note
  126.    wt: 6:   13 Subtraction with Additive Inverse
  127.    wt: 6:   12 Adding Integers More Examples
  128.    wt: 6:   10 Integer Multiplication Formulas
  129.    wt: 6:   9 Multiplying Integers
  130.    wt: 6:   8 Multiplication by Signed Numbers Integers
  131.    wt: 6:   7 Multiplication by Signs
  132.    wt: 6:   6 Multiplication by Natural Numbers
  133.    wt: 6:   3 Adding Movements with same direction
  134.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  135.    wt: 6:   1 Integers as Coordinates
  136.    wt: 6:   17 Identify and Count Factors using Primes
  137.    wt: 6:   13 video Factors of 24 using prime
  138.    wt: 6:   12 LCD GCD and LCM using Primes
  139.    wt: 6:   6 Sieve of Eratosthenes and Square Rule
  140.    wt: 6:   3 video Primes and Composites from 9 times table
  141.    wt: 6:   2 Prime and Composites less than 16
  142.    wt: 6:   Long Division Backwards more
  143.    wt: 6:   Long Division forwards and backwards Example 3
  144.    wt: 6:   Long Division forwards and backwards Example 2
  145.    wt: 6:   Long Division forwards and backwards Example 1
  146.    wt: 6:   10 Division by Five Long and Short Ways
  147.    wt: 6:   5 Decimal Fraction Multiplication
  148.    wt: 6:   1 Why 3 times 5 gives 15
  149.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  150.    wt: 6:   Subtraction with J Conversions Example
  151.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  152.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  153.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  154.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  155.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  156.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  157.    wt: 6:   Exact Arithmetic Wholes and Fractions
  158.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  159.    wt: 6:   Appendix E. How To Study Mathematics and Why
  160.    wt: 6:   Appendix D. What to do in School and Why
  161.    wt: 6:   Chapter 24. Personal Investment and Pension EGS
  162.    wt: 6:   Chapter 14. Forward and Backward Use of a Formula
  163.    wt: 5:   14 Multiplication and Times Tables
  164.    wt: 5:   5 Patience Please for Yourself and Your Charges
  165.    wt: 5:   4 Learning Takes Time and Effort
  166.    wt: 5:   Ages 4 plus to 5 plus
  167.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
  168.    wt: 5:   26 Function definitions done and coming
  169.    wt: 5:   19 Horizontal line rule and method
  170.    wt: 5:   18 Vertical Line Rule and Method
  171.    wt: 5:   17 Function maxima minima and their location
  172.    wt: 5:   11 Function Domain Range Source and Targets
  173.    wt: 5:   8 Set view of relations and functions
  174.    wt: 5:   6 Set Existence Formation and Notation
  175.    wt: 5:   16 cotangent function Definition Graph and Inverse
  176.    wt: 5:   13 cosecant function Definition Graph and Inverse
  177.    wt: 5:   5 Swapping Coordinates is a reflection
  178.    wt: 5:   4 possible motivation for term arccos
  179.    wt: 5:   8 Radian Measures of Common Angles
  180.    wt: 5:   7 Radian Measures in special Triangles
  181.    wt: 5:   6 Radian Measure to Degrees
  182.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  183.    wt: 5:   2 Radian Measure Numerical Value of one degree
  184.    wt: 5:   15 Dot and Cross Product
  185.    wt: 5:   Parallel Lines and Parallel Transversals
  186.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  187.    wt: 5:   Triangle Angles Sum To 180 Degrees
  188.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  189.    wt: 5:   Parallel Lines and Interior Angles
  190.    wt: 5:   14 Straight Lines Equations General Case
  191.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  192.    wt: 5:   14 cosine even and sine and tangent are odd
  193.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  194.    wt: 5:   7 Translations Rotations Reflections Dilatations
  195.    wt: 5:   12 Links Lessons elsewhere
  196.    wt: 5:   11 A Partial Summary
  197.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  198.    wt: 5:   8 Mid Point Formula
  199.    wt: 5:   6 Intersection of lines by solving linear systems
  200.    wt: 5:   3 Slope product for perpendicular lines
  201.    wt: 5:   2 point slope equation for a line
  202.    wt: 5:   5 Proportionality in Equivalent Fractions
  203.    wt: 5:   4 Subtraction and Division Axioms
  204.    wt: 5:   2 More and Less Than for Counts and Measures
  205.    wt: 5:   5 Independent versus Dependent Variables
  206.    wt: 5:   4 Changing Letters
  207.    wt: 5:   3 Geometric Formulas and Function Notation
  208.    wt: 5:   1 Formulas Dependence and Function Notation
  209.    wt: 5:   3 GE III Equation Addition and Multiplication
  210.    wt: 5:   Skill Development Notes
  211.    wt: 5:   5 Three Examples
  212.    wt: 5:   4 Two Examples
  213.    wt: 5:   3 Comparison of Negative Numbers
  214.    wt: 5:   3 Properties of Square Roots with example
  215.    wt: 5:   13 GCD from given Prime Factorization
  216.    wt: 5:   8 GCD from Euclidean Algorithm
  217.    wt: 5:   6 GCD from Prime
  218.    wt: 5:   1 Least Common Multiples LCM Introduction
  219.    wt: 5:   12 GCD 2700 288 via Prime
  220.    wt: 5:   11 What are real lengths and numbers
  221.    wt: 5:   7 negative and additive inverse
  222.    wt: 5:   3 signed coordinates for maps and planes
  223.    wt: 5:   2 signed and unsigned numbers as coordinates
  224.    wt: 5:   D Three Term Ratios
  225.    wt: 5:   22 Complex Compound Fractions
  226.    wt: 5:   21 Working With Signs
  227.    wt: 5:   20 Dividing Fractions the Why
  228.    wt: 5:   19 Dividing Fractions How TO
  229.    wt: 5:   18 Efficient Ways to Multiply
  230.    wt: 5:   16 Addition Subtraction Comparision Compared
  231.    wt: 5:   13 Fraction Comparison Algebraic View
  232.    wt: 5:   12 Fraction Comparison
  233.    wt: 5:   11 Simplification an Algebraic View
  234.    wt: 5:   8 Numerals Fractionals Quantals Take II
  235.    wt: 5:   7 Numerals Fractionals Quantals
  236.    wt: 5:   6 Multiplication Algebraically Take II
  237.    wt: 5:   3 Unit fraction of a fraction
  238.    wt: 5:   2 Unit Fraction Multiplication
  239.    wt: 5:   1 What is a fraction Take II
  240.    wt: 5:   1 What is a fraction
  241.    wt: 5:   20 Uniqueness of Prime Factorization
  242.    wt: 5:   19 video Prime Factorization Unique
  243.    wt: 5:   18 video Count Factors given Prime Factorization
  244.    wt: 5:   16 video Factors of 980 using prime
  245.    wt: 5:   11 Efficient Square Rule Use
  246.    wt: 5:   10 video Prime Factorization upto 23 squared
  247.    wt: 5:   9 video Prime Factorization upto 19 squared
  248.    wt: 5:   8 video Prime Factorization upto 19
  249.    wt: 5:   1 video how Products are bigger than factor
  250.    wt: 5:   Long Division Backward
  251.    wt: 5:   12 Why Long Division Works Take III
  252.    wt: 5:   11 Another Single Digit Divisor Example
  253.    wt: 5:   9 Why Long Division Works Take II
  254.    wt: 5:   8 Correcting the Mistake
  255.    wt: 5:   7 Long Divison Mistake Catching
  256.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  257.    wt: 5:   3 Division Single Digit Divisor Example
  258.    wt: 5:   2 Division with Single Digit Divisors
  259.    wt: 5:   1 Divsion Physical Examples
  260.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  261.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  262.    wt: 5:   Subtraction Another Video Lesson
  263.    wt: 5:   9 22 Minute Subtraction Review Video
  264.    wt: 5:   8 Subtraction with Units of Measure
  265.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  266.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  267.    wt: 5:   2 Subtraction Easy Case Examples
  268.    wt: 5:   7 Adding decimal fractions using decimal point
  269.    wt: 5:   3. How to add with decimals A sans conversions
  270.    wt: 5:   2 Decimal Counting Practices
  271.    wt: 5:   1. Explaining Addition Table
  272.    wt: 5:   11 Place Value SI Standard International way
  273.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  274.    wt: 5:   Quick history of numbers and algebra
  275.    wt: 5:   Formula Evaluation how to show work
  276.    wt: 5:   Example 1. Area Between x and x squared
  277.    wt: 5:   Example 4 with x function of y
  278.    wt: 5:   5 Jumps and absence of unlimited error control
  279.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
  280.    wt: 5:   Chapter 25. Mathematical Induction Examples
  281.    wt: 5:   Chapter 25. Mathematical Induction Examples
  282.    wt: 5:   Chapter 15. Solving Linear Equations
  283.    wt: 5:   Chapter 12. Shorthand Usage Guide
  284.    wt: 5:   Chapter 4 Longer Chains of Reason
  285.    wt: 5:   Ends Values Methods For Skill Development Framework Prequel
  286.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  287.    wt: 4:   B LAMP Introduction Curriculum Development Standards
  288.    wt: 4:   Home Tutoring and Home Schooling
  289.    wt: 4:   25 Mathematics Education Leaving A Good Impression
  290.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
  291.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
  292.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
  293.    wt: 4:   23 Modularized Skill Development Modularized Rigor
  294.    wt: 4:   17 Math Booklets for children and young teenagers
  295.    wt: 4:   15 Counting For Parents
  296.    wt: 4:   2 Reading and Writing Skills
  297.    wt: 4:   Ages 12 to 14 Skills with take home value
  298.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  299.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  300.    wt: 4:   sign monoticity analysis example 3
  301.    wt: 4:   sign monoticity analysis example 2
  302.    wt: 4:   sign monoticity analysis example 1
  303.    wt: 4:   23 Inverse Functions
  304.    wt: 4:   22 Square Root function graphically
  305.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  306.    wt: 4:   20 Interchanging coordinates a reflection
  307.    wt: 4:   16 Increasing or decreasing on intervals
  308.    wt: 4:   13 From one to one to many to one
  309.    wt: 4:   12 Function Domain Recognition Exercises
  310.    wt: 4:   10 Interval Notation
  311.    wt: 4:   9 Set theory term relation possible origins
  312.    wt: 4:   7 Functions with finite domains
  313.    wt: 4:   3 Formula or function graphing exercise
  314.    wt: 4:   2 Algebraic use of function notation
  315.    wt: 4:   1 Geometric Introduction of Function Notation
  316.    wt: 4:   Introduction Reading Guide
  317.    wt: 4:   5 Natural Logarithm Calculator Exercises
  318.    wt: 4:   12 motivation for term arctan
  319.    wt: 4:   11 arctan left inverse of tangent Graph
  320.    wt: 4:   10 arctan left inverse of tangent Definition
  321.    wt: 4:   9 motivation for name arcsin
  322.    wt: 4:   8 arcsin left inverse of sine Graph
  323.    wt: 4:   7 arcsin left inverse of sine Definition
  324.    wt: 4:   6 Graph of arccos function
  325.    wt: 4:   3 Left Inverse of cosine arccos definition
  326.    wt: 4:   2 cosine function more properties
  327.    wt: 4:   1 cosine function properties
  328.    wt: 4:   14 Why Scalar Multiplication Distributes Physical Argument
  329.    wt: 4:   5 Head To Tail Arrow Addition
  330.    wt: 4:   4 Resultant of a Sum of Movements
  331.    wt: 4:   4 graphing y=Asin(x c)
  332.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  333.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  334.    wt: 4:   Straight Lines ASA Intersection Study More
  335.    wt: 4:   Straight Lines ASA Intersection Study
  336.    wt: 4:   Straight Lines Instersection Solving Equations
  337.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  338.    wt: 4:   C Straight Lines Slope from Coordinates
  339.    wt: 4:   B Straight Line Slope Scaling Properties More
  340.    wt: 4:   A Straight Line Slope Scaling Properties
  341.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  342.    wt: 4:   5 Tangent Function Graph
  343.    wt: 4:   4 Tangent Function Properties
  344.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  345.    wt: 4:   26 Formulas for products of sines and cosines
  346.    wt: 4:   25 tangent double angle formula Slope connection
  347.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  348.    wt: 4:   17E Trig Formulas for dot and cross Products
  349.    wt: 4:   17D cis formulas for sine cosines and tangent
  350.    wt: 4:   17C sine and cosine double triple angle formulas
  351.    wt: 4:   7 period of sine and cosine
  352.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  353.    wt: 4:   Unit Circle Development of Trigonometry
  354.    wt: 4:   15 Pythagorean Theorem Converse
  355.    wt: 4:   14 Law of cosines
  356.    wt: 4:   5 An Easy Proof of the Distributive Law
  357.    wt: 4:   4 Multiplication Properties
  358.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  359.    wt: 4:   12 Triangles Similarity More Problems
  360.    wt: 4:   11 Triangle Similarity Missing Side Problem
  361.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  362.    wt: 4:   9 Similarity of Triangles Usual Criteria
  363.    wt: 4:   6 Geometric Diagrams in Class
  364.    wt: 4:   3 Similarity by Design with coordinates
  365.    wt: 4:   2 Similarity By Design
  366.    wt: 4:   1 Early Concept of Like or Similar Shapes
  367.    wt: 4:   6 Polar Multiplication and Rotation
  368.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  369.    wt: 4:   14 Parallel Lines Postulate
  370.    wt: 4:   5 Side Angle Side
  371.    wt: 4:   4 Side Side Side
  372.    wt: 4:   3 Lengths and Areas on Maps and Plans
  373.    wt: 4:   A Modular and Remainder Arithmetic
  374.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  375.    wt: 4:   5 Distributive Law for Whole Numbers
  376.    wt: 4:   4 Commutative Law Groups Counting Form
  377.    wt: 4:   2 Combing Counts Addition Skills and Principles
  378.    wt: 4:   4 Fraction Operations Axiomatic Development
  379.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  380.    wt: 4:   6 Equations and Systems Equivalent or Implied
  381.    wt: 4:   5 Equality in Algebra
  382.    wt: 4:   2 Addition and Multiplication Axioms
  383.    wt: 4:   5 Greater More Less Than Signs in General
  384.    wt: 4:   4 Comparison of Negative Numbers
  385.    wt: 4:   3 More and Less Than with Unlike Signs
  386.    wt: 4:   15 Real Number Division
  387.    wt: 4:   14 Real Number Multiplication
  388.    wt: 4:   10 Real Number Lengths and Signs
  389.    wt: 4:   8 Coordinates for Maps and Planes
  390.    wt: 4:   5 Rational Numbers More
  391.    wt: 4:   4 Rational Numbers
  392.    wt: 4:   1 Whole and Natural Numbers
  393.    wt: 4:   2 Computation Rules Evaluation
  394.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  395.    wt: 4:   2 GE II Comparison
  396.    wt: 4:   1 GE Substitution four examples
  397.    wt: 4:   4 Solving a triangular system exercise
  398.    wt: 4:   5 Algebraic Solutions Introduction
  399.    wt: 4:   4 Four Examples Fractional Coefficients
  400.    wt: 4:   1 Written work formats for developing and showing skill
  401.    wt: 4:   arithmetic videos Real Player Format
  402.    wt: 4:   10 dividing signed numbers
  403.    wt: 4:   9 subtracting signed numbers
  404.    wt: 4:   8 multiplying signed numbers
  405.    wt: 4:   6 adding signed numbers
  406.    wt: 4:   D Decimal Multiplication Methods Derived
  407.    wt: 4:   C Counting Areas with Powers of Ten
  408.    wt: 4:   B Powers of Ten
  409.    wt: 4:   A Elementary Basis for Multiplication Methods
  410.    wt: 4:   6 Multiplication Commutes Order Not Important
  411.    wt: 4:   3 More One Digit Multipliers
  412.    wt: 4:   2 One Digit Multipliers
  413.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  414.    wt: 4:   Video Power Notation in Decimal Expansion
  415.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  416.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  417.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  418.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  419.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  420.    wt: 4:   1 Place Value in Three Digit Whole Numbers
  421.    wt: 4:   Expression Evaluation how to show work
  422.    wt: 4:   The 20 Times Table
  423.    wt: 4:   The 12 Times Table Visually
  424.    wt: 4:   About folder contents
  425.    wt: 4:   015 School and work day counting tables
  426.    wt: 4:   4 Mixing and Changing Units of Time
  427.    wt: 4:   Example 1 volume of a pyramid
  428.    wt: 4:   Area Between Crossing Curves Lesson Take 2
  429.    wt: 4:   Area Between Crossing Curves Lesson Take 1
  430.    wt: 4:   5 Area Under Curve Exercise
  431.    wt: 4:   4 Definite Integrals Evaluation Exercises
  432.    wt: 4:   3 Two Chain Rule Method Exercises
  433.    wt: 4:   2 Indefinite Integrals Exercises
  434.    wt: 4:   4 Second derivative test exercise example
  435.    wt: 4:   24 Chain Rule Animated Examples
  436.    wt: 4:   17 Derivatives of quotients of sine and cosine
  437.    wt: 4:   15 sine and cosine derivatives 3rd step
  438.    wt: 4:   14 sine and cosine derivatives 2nd step
  439.    wt: 4:   13 Limits with Parameters and Derivatives Take II
  440.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  441.    wt: 4:   D1 Sets and Sequences GLBs and LGBs
  442.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  443.    wt: 4:   Postscript More on Better Performance
  444.    wt: 4:   Postscript For Better Performance
  445.    wt: 4:   Appendix C. How to Read
  446.    wt: 4:   Appendix B. How To Learn
  447.    wt: 4:   Appendix A. Reading Guide For Next Appendices
  448.    wt: 4:   Chapter 31 Direct and Indirect Reason
  449.    wt: 4:   Chapter 29 Contrapositive and Vacuously True Implications
  450.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  451.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  452.    wt: 4:   Chapter 20. Degrees and Radians
  453.    wt: 4:   Chapter 19. Functions and Sets
  454.    wt: 4:   Postscript Unifying Theme A Fourth Skill For Algebra
  455.    wt: 4:   Chapter 11. Why Shorthand
  456.    wt: 4:   Chapter 10 Describing and Changing Calculations
  457.    wt: 4:   Postscript What is a Variable
  458.    wt: 4:   Chapter 8 Three Skills For Algebra
  459.    wt: 4:   Chapter 6 Change of Language
  460.    wt: 4:   Chapter 2 Implication Rules Forwards and Backwards
  461.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
  462.    wt: 4:   Chapter 24 Direct and Indirect Reason
  463.    wt: 4:   Chapter 14 Deductive and Empirical Views of Mathematics
  464.    wt: 4:   Chapter 4 Implication Rules Forwards and Backwards
  465.    wt: 4:   I. Logic and language skills
  466.    wt: 4:   Helping the Blind in Logic and Mathematics
  467.    wt: 4:   Multiple Ways to Improve Mathematics Skill Development
  468.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  469.    wt: 4:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  470.    wt: 4:   More Algebra and Slope based Calculus Preview
  471.    wt: 4:   Systematic Algebra Skill Development Missing Links
  472.    wt: 4:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  473.    wt: 3:   G LAMP Introduction Problem Solving Skills
  474.    wt: 3:   Skills Chapter 5 Calculus
  475.    wt: 3:   Skills Chapter 4 Logic
  476.    wt: 3:   5 logarithms and exponentials etc
  477.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  478.    wt: 3:   22 Student Centered Highschool Mathematics
  479.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  480.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  481.    wt: 3:   13 Addition and Addition Tables
  482.    wt: 3:   12 Goals and Objectives For Mathematics
  483.    wt: 3:   11 Help and Defend Your Child or Teens Education
  484.    wt: 3:   1 Speaking Skills
  485.    wt: 3:   Ages 12 to 14 Geometry
  486.    wt: 3:   Ages 12 to 14 Arithmetic
  487.    wt: 3:   Ages 6 to 7
  488.    wt: 3:   Ages 3 plus to 4 plus
  489.    wt: 3:   A Quadratics Summary
  490.    wt: 3:   9 quadratics physical and further context
  491.    wt: 3:   5 quadratics completing the square
  492.    wt: 3:   4 quadratics difference of two squares
  493.    wt: 3:   11 Growth and Decay in Biology
  494.    wt: 3:   10 Exponential Growth and Decay Models
  495.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  496.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  497.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  498.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  499.    wt: 3:   4 Polynomials Long division linear divisor
  500.    wt: 3:   A Global Time and Navigation
  501.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  502.    wt: 3:   6 Vectors with Coordinates
  503.    wt: 3:   Vector and Complex Number Applet
  504.    wt: 3:   3 graphing y=f(x c) plus K
  505.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  506.    wt: 3:   1 graphing y=f(x a)
  507.    wt: 3:   Straight Lines Intersection of
  508.    wt: 3:   12 Straight Lines Graphing mx plus b
  509.    wt: 3:   11 Straight Lines Graphing y=mx
  510.    wt: 3:   10 Straight Lines through Origin Equations More
  511.    wt: 3:   9 Straight Lines through Origin Equations
  512.    wt: 3:   8 Straight Lines Equation for vertical
  513.    wt: 3:   7 Tangent Function is odd on this domain
  514.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  515.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  516.    wt: 3:   1 Straight Lines Slope Concept
  517.    wt: 3:   29 secant cosecant and cotangent for acute angles
  518.    wt: 3:   27 Logarithmic use of products of sines and cosines
  519.    wt: 3:   24 tangent Angle Difference Formula
  520.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  521.    wt: 3:   21 sine and cosine Half Angle Formulas
  522.    wt: 3:   20 sine and cosine Double Angle Formulas
  523.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  524.    wt: 3:   17G Pythagorean Theorem Converse
  525.    wt: 3:   17F Law of cosines
  526.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  527.    wt: 3:   17A The complex number valued trig function cis
  528.    wt: 3:   16 Right Triangle Complementary Angle Relations
  529.    wt: 3:   15 sine cosine Complementary Angle Relations
  530.    wt: 3:   10 Graphs of sines and cosines many periods
  531.    wt: 3:   9 Graphs of sine and cosine over one period
  532.    wt: 3:   8 period of tangent function
  533.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  534.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  535.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  536.    wt: 3:   21 Logarithms Powers and Exponentials
  537.    wt: 3:   16 References and Originality Question
  538.    wt: 3:   13 Trig Formulas for dot and cross Products
  539.    wt: 3:   12 cis formulas for sine cosines and tangent
  540.    wt: 3:   11 sine and cosine double triple angle formulas
  541.    wt: 3:   8 Unit Circle Development of Trigonometry
  542.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  543.    wt: 3:   3 Trigonometric Ratios sine and cosine
  544.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  545.    wt: 3:   13 Pythagorean spatial distance formulas
  546.    wt: 3:   12 Spatial Coordinates
  547.    wt: 3:   11 Triangle Inequality
  548.    wt: 3:   10 Pythagorean plane distance formula
  549.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  550.    wt: 3:   8 Distance Between Points on a Line
  551.    wt: 3:   7 Complex Numbers Appetizer
  552.    wt: 3:   3 Rectangular Coordinates Review
  553.    wt: 3:   2 Cartesian Coordinates with signs
  554.    wt: 3:   1 Cartesian Coordinates sans signs
  555.    wt: 3:   PS E Multiplication with Polar Coordinates
  556.    wt: 3:   PS D Addition with Cartesian Coordinates
  557.    wt: 3:   16 Angles Subtended By Chords and Diameters
  558.    wt: 3:   6 Ruler and compass Angle Bisection
  559.    wt: 3:   1 Initial Concepts and Terms
  560.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  561.    wt: 3:   4 Angles on Maps Plans drawn to scale
  562.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  563.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  564.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  565.    wt: 3:   15 Head to Tails in place Addition Associative
  566.    wt: 3:   13 Arrows and Vectors in a Plane
  567.    wt: 3:   11 Signed Number Addition and Addition Properties
  568.    wt: 3:   8 Division and Mulplication of Compound Fractions
  569.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  570.    wt: 3:   4 Location of Point in Decimal Addition
  571.    wt: 3:   B Decimal Comparison and Subtraction
  572.    wt: 3:   3 Multiplicative Counting Skills Principles
  573.    wt: 3:   5 Areas of Rectangles Revisited
  574.    wt: 3:   2 Fraction Operations Physical Development
  575.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  576.    wt: 3:   3 Proportionality Examples
  577.    wt: 3:   2 Algebraic View
  578.    wt: 3:   1 What is Proportionality
  579.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  580.    wt: 3:   6 Compound Interest Forward and Backwards
  581.    wt: 3:   5 Triangle Area Formula Backwards
  582.    wt: 3:   3 Product Axioms Two Forms
  583.    wt: 3:   1 Equivalent Computation Rules
  584.    wt: 3:   1 Real Numbers Comparison
  585.    wt: 3:   16 Real Numbers Comparison
  586.    wt: 3:   13 Real Number Subtraction
  587.    wt: 3:   12 Real Number Additive Inverses or Negatives
  588.    wt: 3:   11 Real Number Addition
  589.    wt: 3:   9 Coordinates for Regions in Space
  590.    wt: 3:   7 Real Numbers as Line Cordinates
  591.    wt: 3:   6 Unsigned Real Numbers
  592.    wt: 3:   3 Fractions
  593.    wt: 3:   2 Integers
  594.    wt: 3:   More Exercises
  595.    wt: 3:   Simple Exercises
  596.    wt: 3:   1 Proper Equal Sign Usage
  597.    wt: 3:   10 One Example
  598.    wt: 3:   9 Three Examples
  599.    wt: 3:   8 One Example
  600.    wt: 3:   7 Two Examples
  601.    wt: 3:   6 Three Examples
  602.    wt: 3:   3 Two Examples
  603.    wt: 3:   2 Three Examples
  604.    wt: 3:   Formula Usage Show Work Format
  605.    wt: 3:   5 Box Volume Formula Example
  606.    wt: 3:   4 Circle Area Formula Example
  607.    wt: 3:   9 Sets in Probability and Statistics
  608.    wt: 3:   5 Product Builder Notation
  609.    wt: 3:   4 Subset Builder Notation
  610.    wt: 3:   5 Talking about Numbers and Quantities
  611.    wt: 3:   4 A Brief Story of numbers and algebra
  612.    wt: 3:   014 Counting Days with Calendars
  613.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  614.    wt: 3:   5 Conversion Arithmetic
  615.    wt: 3:   3 Units and Lengths of Time
  616.    wt: 3:   2 Time and Date Matters in School
  617.    wt: 3:   1 Intro of Kids To Time Date Skills
  618.    wt: 3:   Example 2 volume of a cone
  619.    wt: 3:   Volume of Solid by Cross Sections Lesson
  620.    wt: 3:   Example 3
  621.    wt: 3:   Example 2
  622.    wt: 3:   Example 1
  623.    wt: 3:   Area Between Curves Lesson Take 2
  624.    wt: 3:   Area Between Curves Lesson Take 1
  625.    wt: 3:   Summary
  626.    wt: 3:   A Related Material in Volume 3
  627.    wt: 3:   1 Chain Rule in Reverse Integration Method
  628.    wt: 3:   3 Second derivative test
  629.    wt: 3:   38 Formulas and derivatives for powers and roots
  630.    wt: 3:   34 Derivative of exponential function
  631.    wt: 3:   25 Chain Rule Animated Examples Continued
  632.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  633.    wt: 3:   13 sine and cosine derivatives 1st step
  634.    wt: 3:   9 Limits Continuity and Composition
  635.    wt: 3:   4 Numerical properties
  636.    wt: 3:   3 Decimal insights for limits continuity convergence
  637.    wt: 3:   F.5b Extreme Value Theorem
  638.    wt: 3:   PostScript For and Against Decimal Perspectives
  639.    wt: 3:   Chapter 15. Slope Approximation
  640.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  641.    wt: 3:   Chapter 5. Slope Sign Tests
  642.    wt: 3:   Chapter 4. More Slope Sign Analysis
  643.    wt: 3:   Chapter 30 Truth Tables
  644.    wt: 3:   Chapter 28 Occurrence Tables
  645.    wt: 3:   Chapter 26 What is in chapters 27 to 31
  646.    wt: 3:   Chapter 23. Notation For Sums
  647.    wt: 3:   Chapter 21. Third Reading Guide
  648.    wt: 3:   Chapter 18. Rules for Algebra
  649.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  650.    wt: 3:   Chapter 16. Painless Theorem Proving
  651.    wt: 3:   Chapter 13. Second Reading Guide
  652.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  653.    wt: 3:   Solutions For Arithmetic Exercises
  654.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  655.    wt: 3:   Chapter 3 Chains of Reason
  656.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  657.    wt: 3:   Foreword
  658.    wt: 3:   Chapter 5 Four References
  659.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  660.    wt: 3:   Chapter 15 Objective Processes
  661.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  662.    wt: 3:   Chapter 5 Deception
  663.    wt: 3:   Chapter 2 Skill Development
  664.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  665.    wt: 3:   O On Learning Mathematics and Science
  666.    wt: 3:   J. More on written work and showing skill
  667.    wt: 3:   G. Written work formats for developing and showing skill
  668.    wt: 3:   E. When and how to correct errors
  669.    wt: 3:   D. Check work a must with a caution
  670.    wt: 3:   How to Build Skills and Confidence
  671.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  672.    wt: 3:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  673.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  674.    wt: 3:   Which Way To Go
  675.    wt: 2:   K LAMP Musings Science Education
  676.    wt: 2:   J LAMP Introduction Extrinsic Origins
  677.    wt: 2:   I LAMP Introduction Study Habits
  678.    wt: 2:   H LAMP Introduction Instructional Concepts
  679.    wt: 2:   F LAMP Introduction Prerequisites
  680.    wt: 2:   E LAMP Introduction Modern Mathematics
  681.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  682.    wt: 2:   A Introduction Objectives
  683.    wt: 2:   4 algebra
  684.    wt: 2:   site origins
  685.    wt: 2:   site eurekas
  686.    wt: 2:   key notes and themes
  687.    wt: 2:   What to Tell Students
  688.    wt: 2:   05 13 OldSiteEntrancePage
  689.    wt: 2:   04 25 when to stop or suspend mathemat
  690.    wt: 2:   Education in mathematics science and technology
  691.    wt: 2:   chapitre 04 06 engagements
  692.    wt: 2:   chapitre 04 05 Implication versus suggestion
  693.    wt: 2:   chapitre 04 04 Parlons de la logique
  694.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  695.    wt: 2:   E Energy Power05
  696.    wt: 2:   D Energy Power04
  697.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  698.    wt: 2:   18 Primary School Mathematics
  699.    wt: 2:   16 Secondary Mathematics Tips
  700.    wt: 2:   10 Ends values for work study instruction
  701.    wt: 2:   9 Streaming by Student Cooperation
  702.    wt: 2:   8 The Effect of Negative Remarks
  703.    wt: 2:   7 Student Motivation
  704.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  705.    wt: 2:   3 Preparing for Science Studies
  706.    wt: 2:   Ages 10 to 12 Geometry
  707.    wt: 2:   Ages 10 to 12 Arithmetic
  708.    wt: 2:   Ages 9 to 10
  709.    wt: 2:   Ages 8 to 9
  710.    wt: 2:   Ages 7 to 8
  711.    wt: 2:   10 quadratic exercises
  712.    wt: 2:   8 quadratics backward use of various formulas
  713.    wt: 2:   7 quadratic formulla derivation
  714.    wt: 2:   6 quadratics numerical approach
  715.    wt: 2:   3 quadratics factoring by inspection
  716.    wt: 2:   2 quadratics graphing in general
  717.    wt: 2:   1 quadratics graphing exercises
  718.    wt: 2:   Quadratics in 10 steps
  719.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  720.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  721.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  722.    wt: 2:   2 Square Root Simplification a prequel
  723.    wt: 2:   1 Calculator Starter Exercises
  724.    wt: 2:   8 Notes for instructors or tutors
  725.    wt: 2:   7 Links Lessons Elsewhere
  726.    wt: 2:   3 Polynomials Multiplication Addition
  727.    wt: 2:   2 Column Multiplication Method
  728.    wt: 2:   1 Polynomials Distributive Law
  729.    wt: 2:   13 Velocity Vectors in Physics
  730.    wt: 2:   12 From Applied To Pure Mathematics
  731.    wt: 2:   11 Component Method
  732.    wt: 2:   10 Parallelogram Addition Method
  733.    wt: 2:   9 Head to Tail Coordinate View
  734.    wt: 2:   8 Parallel Vectors
  735.    wt: 2:   3 Navigation with Arrows or Vectors
  736.    wt: 2:   2 Signed Coordinates
  737.    wt: 2:   1 Unsigned Coordinates
  738.    wt: 2:   17 tangent function angle sum formulas
  739.    wt: 2:   32 seven rows of pascals triangle
  740.    wt: 2:   31 basic secant cosecant cotangent trig identities
  741.    wt: 2:   30 unit circle calculation of six trigonometric functions
  742.    wt: 2:   28 Expressing products of sines cosines as sums
  743.    wt: 2:   18 sum of sinusoidal waves as a single wave
  744.    wt: 2:   13 Graph of tangent function many periods
  745.    wt: 2:   12 Graph of tangent function for one period
  746.    wt: 2:   11 tangent function undefined when terminal side vertical
  747.    wt: 2:   2 Quadrant I reference Angles
  748.    wt: 2:   1 Unit Points Reflections Rotations
  749.    wt: 2:   20 N th Roots of Complex Numbers
  750.    wt: 2:   19 N th Roots of Unity
  751.    wt: 2:   18 Sixth Roots of Unity
  752.    wt: 2:   17 Cube Roots of unity
  753.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  754.    wt: 2:   9 The complex number valued trig function cis
  755.    wt: 2:   7 Second Way to Calculate Products
  756.    wt: 2:   6 Field Properties of Complex Number
  757.    wt: 2:   3 Addition Properties
  758.    wt: 2:   2 Complex Numbers made easier we hope
  759.    wt: 2:   1 Rectangular Polar Coordinates Review
  760.    wt: 2:   Appetizer A Complex Number Applet
  761.    wt: 2:   8 Triangles Cascade Problem Solving
  762.    wt: 2:   7 Trignometric Ratios Unit Circle
  763.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  764.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  765.    wt: 2:   1 Angle Measurement with Degrees
  766.    wt: 2:   Why Trigonometry the whyslopes view
  767.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  768.    wt: 2:   PS H Distributive Law For Complex Numbers
  769.    wt: 2:   PS G Rotation Distributes over Addition
  770.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  771.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  772.    wt: 2:   PS B Parallelogram Construction Methods
  773.    wt: 2:   PS A Kite Construction Methods
  774.    wt: 2:   21 Parallelograms
  775.    wt: 2:   19 Right Triangle Similarity
  776.    wt: 2:   18 Triangle Similarity Take 1
  777.    wt: 2:   17 Right Bisectors of Triangle Sides
  778.    wt: 2:   13 Angle Side Angle Failure
  779.    wt: 2:   12 Side Angle Side Failure
  780.    wt: 2:   11 Triangle Construction Fails
  781.    wt: 2:   10 Dropping a perpendicular to line
  782.    wt: 2:   9 Construction of a right bisector
  783.    wt: 2:   8 Isoceles Triangles
  784.    wt: 2:   7 Angle Side Angle
  785.    wt: 2:   3 Isometry of Triangles Congruence
  786.    wt: 2:   2 Correspondence between Triangles
  787.    wt: 2:   Short Course on Euclidean Geometry
  788.    wt: 2:   A Measurement with Ruler Proper Use
  789.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  790.    wt: 2:   6 Figuring with Maps Not to Scale
  791.    wt: 2:   2 Measuring Area Directly
  792.    wt: 2:   1 Length Measurement
  793.    wt: 2:   About Folder Contents
  794.    wt: 2:   musings do not puiblish real numbers
  795.    wt: 2:   A Signed Number Arithmetic Review
  796.    wt: 2:   26 More Less Greater Than Comparison
  797.    wt: 2:   23 Distributive Law Two Derivations
  798.    wt: 2:   22 Multiplication of Signed Numbers
  799.    wt: 2:   21 Addition of Multiples of a Single Vector
  800.    wt: 2:   19 Signed Multiples of Vectors
  801.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  802.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  803.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  804.    wt: 2:   12 Real Numbers Line Signed Coordinates
  805.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  806.    wt: 2:   9 Division with Digits after Decimal Point
  807.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  808.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  809.    wt: 2:   3 Location of Point in Decimal Multiplication
  810.    wt: 2:   2 Counting Digits in Decimal Multiplication
  811.    wt: 2:   1 Fractions with Finite Decimal Expansions
  812.    wt: 2:   E Long Division Methods more
  813.    wt: 2:   D Long Division Methods
  814.    wt: 2:   C Three Decimal Subtraction Methods
  815.    wt: 2:   A Decimal Addition Columm Methods
  816.    wt: 2:   8 Column Multiplication Methods in General
  817.    wt: 2:   7 Decimals Multiplication Methods Examples
  818.    wt: 2:   6 Column Methods for Decimal Multiplication
  819.    wt: 2:   1 The Counting Origins of Numbers
  820.    wt: 2:   3 Inequalities Algebraically
  821.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  822.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  823.    wt: 2:   3 Linear Equation Literal Solution More
  824.    wt: 2:   2 Linear Equation Literal Solution
  825.    wt: 2:   1 Changing Calculations
  826.    wt: 2:   3 Solving triangular system example
  827.    wt: 2:   2 Essentially one exercises three with solution
  828.    wt: 2:   1 Essentially One Unknown
  829.    wt: 2:   6 Algebraic Solution Example
  830.    wt: 2:   3 Four Examples
  831.    wt: 2:   2 Three Examples
  832.    wt: 2:   Using Letters for Physical Quantities
  833.    wt: 2:   13 Naming Identifying Formulas with Words
  834.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  835.    wt: 2:   11 Volume of Sphere
  836.    wt: 2:   10 Volume of Pyramid
  837.    wt: 2:   9 Volume of Cone
  838.    wt: 2:   8 Compound Interest Formula Evaluation
  839.    wt: 2:   7 Compound Interest Formula Introduction
  840.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  841.    wt: 2:   3 Triangle Area Formula Example
  842.    wt: 2:   2 Another Rectangle Area Formula Example
  843.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  844.    wt: 2:   8 Sets of Numbers
  845.    wt: 2:   7 Cautious or Safe Set Construction
  846.    wt: 2:   6 Power Set Notation
  847.    wt: 2:   3 Counting with Sets etc
  848.    wt: 2:   2 Venn Diagrams
  849.    wt: 2:   1 Finite Sets
  850.    wt: 2:   1 Three Skills For Algebra
  851.    wt: 2:   016 Numbering Occidental Calendar Days
  852.    wt: 2:   013 Travel Time Tables
  853.    wt: 2:   012 Division of Time Intervals by Time Intervals
  854.    wt: 2:   011 Division of Time Intervals By Numbers
  855.    wt: 2:   010 Repeated Addition of Time Intervals
  856.    wt: 2:   8 Addition of Time Intervals via subtotaling
  857.    wt: 2:   7 Addition of Time Intervals
  858.    wt: 2:   6 How long is a million seconds
  859.    wt: 2:   A Related lessons in Volume 3
  860.    wt: 2:   2 Second derivative test prequel
  861.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  862.    wt: 2:   33 Chain Rule Real Player video examples
  863.    wt: 2:   26 Chain Rule Recognising outer inner functions
  864.    wt: 2:   23 Chain Rule in general
  865.    wt: 2:   20 Chain Rule for Pulley Systems
  866.    wt: 2:   7 Animated Differentiation Examples
  867.    wt: 2:   6 Power rule from product rule
  868.    wt: 2:   5 Product Rule
  869.    wt: 2:   4 Sum Rule
  870.    wt: 2:   11 Limits at infinity Three Examples
  871.    wt: 2:   10 Three one sided limits with infinite values
  872.    wt: 2:   8 Four Animated Examples
  873.    wt: 2:   7 Evaluation by immediate or delayed substitution
  874.    wt: 2:   6 Continuity at a point
  875.    wt: 2:   2 Algebraic codification
  876.    wt: 2:   1 Numerical introduction
  877.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  878.    wt: 2:   G.5 Motions With Bounded Velocities
  879.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  880.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  881.    wt: 2:   F.5a Equicontinuity Theorems
  882.    wt: 2:   F.4 Finite Covering Theorem
  883.    wt: 2:   C Triangle Inequalities
  884.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  885.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  886.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  887.    wt: 2:   Chapter 12. Units and Slopes
  888.    wt: 2:   Chapter 10 Slopes and Units
  889.    wt: 2:   Chapter 7 Slopes and Velocity
  890.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  891.    wt: 2:   Chapter 2. Slopes and Ski Trails
  892.    wt: 2:   Annotated Links to Material Elsehwere
  893.    wt: 2:   Postscript B Mathematics Education References
  894.    wt: 2:   Chapter 2 For and Against Mathematics
  895.    wt: 2:   Postscript B More on Story Telling and Reason
  896.    wt: 2:   Postscript A Story Telling
  897.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  898.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  899.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  900.    wt: 2:   Chapter 18 Sense and Knowledge
  901.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  902.    wt: 2:   Chapter 8 Change of Language
  903.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  904.    wt: 2:   R Why Learn Mathematics Skills
  905.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  906.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  907.    wt: 2:   N Mathematics Prepare for College Studies
  908.    wt: 2:   L Skills with take home value
  909.    wt: 2:   N Improving Marks on Tests and Finals
  910.    wt: 2:   H more Routine to non routine problem solving
  911.    wt: 2:   H Jigsaw puzzles and problem solving
  912.    wt: 2:   A. Skill has to be seen to believed
  913.    wt: 2:   Implementation Notes
  914.    wt: 1:   Appendix 1 primary and preschool mathematic
  915.    wt: 1:   Ramblings Introduction Algebra Essay
  916.    wt: 1:   Skills Chapter 3 Algebra
  917.    wt: 1:   Skills Chapter 2 Geometry
  918.    wt: 1:   Skills Chapter 1 Arithmetic
  919.    wt: 1:   Skills Chapter 0 Introduction
  920.    wt: 1:   7 logic review and decimals an odd combination
  921.    wt: 1:   three goals to set for students
  922.    wt: 1:   Teach the teachers plus goals
  923.    wt: 1:   Applied Maths Program14092009 POMME variant
  924.    wt: 1:   About site lesson plans
  925.    wt: 1:   Mathematics Education Professors
  926.    wt: 1:   teacher certification
  927.    wt: 1:   modern education
  928.    wt: 1:   what should be learnt and When
  929.    wt: 1:   Postscript 2007 01 10
  930.    wt: 1:   five decades make a difference
  931.    wt: 1:   Maps Plans Drawings
  932.    wt: 1:   how letters appear
  933.    wt: 1:   mathematics curriculum shifts
  934.    wt: 1:   geometric implications for algebra
  935.    wt: 1:   Lessening Algebra Difficulties
  936.    wt: 1:   04 29 New Mathematics Curriculum
  937.    wt: 1:   standards for course material
  938.    wt: 1:   formal or informal peer review
  939.    wt: 1:   Theory of Knowledge
  940.    wt: 1:   mathematics instruction in general
  941.    wt: 1:   Motivation and Context Problem
  942.    wt: 1:   need for a mixed mathematics curriculum
  943.    wt: 1:   Leaner mathematics curriculum
  944.    wt: 1:   fairness and inductive principles for instruction
  945.    wt: 1:   words for mathematics instructor
  946.    wt: 1:   chapitre 05 00 Deception
  947.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  948.    wt: 1:   chapitre 04 09 Regles accidentelles
  949.    wt: 1:   chapitre 04 08 Limitations et benefices
  950.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  951.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  952.    wt: 1:   chapitre 04 02 Deuxieme enigme
  953.    wt: 1:   chapitre 04 01 Premiere enigme
  954.    wt: 1:   chapitre 04 00 Les regles d implication
  955.    wt: 1:   4 Energy Power Heat09
  956.    wt: 1:   F Wire Resistance Calculation04
  957.    wt: 1:   C Wire Resistance Calculation01
  958.    wt: 1:   B Wire Resistance Qualitative02
  959.    wt: 1:   2 Unlike resistors in parallel01
  960.    wt: 1:   D Kirchoff First Law
  961.    wt: 1:   C Electromotive force conventional current02
  962.    wt: 1:   Rewriting algebraic substitution as function substitutions
  963.    wt: 1:   6 Three Notions of What is a Variable
  964.    wt: 1:   3 Adding Words To Arithmetic
  965.    wt: 1:   2 What is a Variable
  966.    wt: 1:   About Folder Contents
  967.    wt: 1:   A Chain Rule Real Player video examples
  968.    wt: 1:   36 Cube root derivative animated
  969.    wt: 1:   31 Derivatives of inverse functions
  970.    wt: 1:   30Chain Rule A Proof
  971.    wt: 1:   29 Chain Rule Optional Reading
  972.    wt: 1:   28 Chain Rule Preparation for a Proof
  973.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  974.    wt: 1:   22 Chain Rule for polynomials
  975.    wt: 1:   21 Chain Rule for powers
  976.    wt: 1:   19 Chain Rule for linear functions
  977.    wt: 1:   18 Chain Rule Introduction
  978.    wt: 1:   12 Quotient rule examples
  979.    wt: 1:   11 Quotient rule
  980.    wt: 1:   10 Power rule for negative integers
  981.    wt: 1:   9 Reciprocal rule
  982.    wt: 1:   8 Differentiation of polynomials
  983.    wt: 1:   3 Motivation for Limit Definition Take 2
  984.    wt: 1:   2 Motivation for Limit Definition Take 1
  985.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  986.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  987.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  988.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  989.    wt: 1:   G.3 Constant Difference Theorem Proof
  990.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  991.    wt: 1:   F.3 Intermediate Value Theorem
  992.    wt: 1:   F.2 Closed Range Theorem
  993.    wt: 1:   F.1 What Functions are Continuous
  994.    wt: 1:   E2 Algebraic Properties of Limits
  995.    wt: 1:   E1 Error Control Inequalities
  996.    wt: 1:   D2 Limits of Monotone Sequences
  997.    wt: 1:   B3 Bolzano Weierstrass Theorem
  998.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  999.    wt: 1:   A1. Introduction
  1000.    wt: 1:   index
  1001.    wt: 1:   Chapter 23 Links To Trigonometry
  1002.    wt: 1:   Chapter 22 Complex Numbers
  1003.    wt: 1:   Chapter 21 Arrow Addition
  1004.    wt: 1:   Chapter 18. Slopes Areas Integration
  1005.    wt: 1:   Chapter 17. Area Approximation
  1006.    wt: 1:   Chapter 16. Velocity Approximation
  1007.    wt: 1:   Chapter 13. Acceleration
  1008.    wt: 1:   Chapter 11. Graphing Slope versus Position
  1009.    wt: 1:   Chapter 9 About First Courses in Calculus
  1010.    wt: 1:   Chapter 8. Slope Interpretation
  1011.    wt: 1:   Chapter 3. Slope Sign Analysis
  1012.    wt: 1:   Chapter 1.Introduction
  1013.    wt: 1:   Fall 1983 Calculus Appetizer
  1014.    wt: 1:   Foreword
  1015.    wt: 1:   Postscript A Three Remarks
  1016.    wt: 1:   Chapter 12 Four Phases
  1017.    wt: 1:   Chapter 11 Elementary Instruction
  1018.    wt: 1:   Chapter 10 Transition
  1019.    wt: 1:   Chapter 9 The Two Ends
  1020.    wt: 1:   Chapter 8 Modern Instruction
  1021.    wt: 1:   Chapter 7 Two Treatments of Geometry
  1022.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  1023.    wt: 1:   Chapter 3 Algebra Difficulties
  1024.    wt: 1:   Chapter 1 Introduction
  1025.    wt: 1:   Foreword
  1026.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  1027.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1028.    wt: 1:   Chapter 23 Truth Tables
  1029.    wt: 1:   Chapter 21 Occurrence Tables
  1030.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1031.    wt: 1:   Chapter 11 Accidental Patterns
  1032.    wt: 1:   Chapter 10 Responsibility
  1033.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1034.    wt: 1:   Chapter 7 Longer Chains of Reason
  1035.    wt: 1:   Chapter 6 Chains of Reason
  1036.    wt: 1:   Chapter 1 Introduction
  1037.    wt: 1:   Three Remarks
  1038.    wt: 1:   Foreword
  1039.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1040.    wt: 1:   S Adding words to algebra
  1041.    wt: 1:   M Words to extend arithmetic
  1042.    wt: 1:   F. The student teacher tutor feedback loop
  1043.    wt: 1:   C. Domino effect of being careful
  1044.    wt: 1:   B. Domino effect of errors
  1045.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  1046.    wt: 1:   Road Safety Questions
  1047.    wt: 11:   10 Euclid Algorithm with 129 125 and with 45 14
  1048.    wt: 10:   25 Divisibility Tests for 2 3 5 9 10 Example
  1049.    wt: 10:   24 Divisibility Tests for 2 3 5 9 10
  1050.    wt: 10:   20 Remainder Arithmetic Rule of 9 for checking sums IV

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons


Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]


Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.