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

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

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

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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36 matches:

  1.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 3:   A Origins of Counting and Figuring Methods/
  3.    wt: 3:   Step 4 Gaussian Elimination/
  4.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 2:   Parent Center/
  6.    wt: 2:   12 Function Translating and Rescaling/
  7.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  8.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 2:   Step 1 Stick diagram and fractions/
  10.    wt: 2:   3 Solving Linear Equations/
  11.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  12.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  13.    wt: 2:   A Decimal Counting and Adding Methods/
  14.    wt: 1:   Volume 1A Regles et modeles/
  15.    wt: 1:   francais/
  16.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  17.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  18.    wt: 1:   11 Parallel Straight Lines and Transversals/
  19.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  20.    wt: 1:   5 What is Similarity/
  21.    wt: 1:   4 Lines and Slopes Take 1/
  22.    wt: 1:   3 Cartesian and Polar Coordinates/
  23.    wt: 1:   B Real Numbers Extrinsic Development/
  24.    wt: 1:   10 Examples of Algebraic Reasoning/
  25.    wt: 1:   8 Unifying Theme For Algebra/
  26.    wt: 1:   1 Working With Sets/
  27.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  28.    wt: 1:   9 Combinatorics Trees Tables and Products/
  29.    wt: 1:   5 Integers/
  30.    wt: 1:   D Decimal Long Division Methods/
  31.    wt: 1:   5 Lessons on Integration/
  32.    wt: 1:   4 Lessons on Using Derivatives/
  33.    wt: 1:   38 Lessons on Calculating Derivatives/
  34.    wt: 1:   13 Lessons on Limits and Continuity/
  35.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  36.    wt: 1:   Resources and Reciprocal Links/

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599 matches:

  1.    wt: 7:   6 Discipline Who is in Charge Conserving Authority
  2.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 4:   2 Indefinite Integrals Exercises
  8.    wt: 4:   26 Chain Rule Recognising outer inner functions
  9.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  10.    wt: 3:   J LAMP Introduction Extrinsic Origins
  11.    wt: 3:   Different Kinds of Reasoning in maths
  12.    wt: 3:   fairness and inductive principles for instruction
  13.    wt: 3:   20 Interchanging coordinates a reflection
  14.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  15.    wt: 3:   4 Polynomials Long division linear divisor
  16.    wt: 3:   8 arcsin left inverse of sine Graph
  17.    wt: 3:   5 Swapping Coordinates is a reflection
  18.    wt: 3:   3 Left Inverse of cosine arccos definition
  19.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  20.    wt: 3:   Straight Lines Instersection Solving Equations
  21.    wt: 3:   7 Tangent Function is odd on this domain
  22.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  23.    wt: 3:   28 Expressing products of sines cosines as sums
  24.    wt: 3:   17D cis formulas for sine cosines and tangent
  25.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  26.    wt: 3:   12 cis formulas for sine cosines and tangent
  27.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  28.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  29.    wt: 3:   8 Distance Between Points on a Line
  30.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  31.    wt: 3:   14 Adding and Subtracting with Like Denominators
  32.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  33.    wt: 3:   7 Long Divison Mistake Catching
  34.    wt: 3:   3 Division Single Digit Divisor Example
  35.    wt: 3:   2 Division with Single Digit Divisors
  36.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  37.    wt: 3:   7 Adding decimal fractions using decimal point
  38.    wt: 3:   012 Division of Time Intervals by Time Intervals
  39.    wt: 3:   4 Definite Integrals Evaluation Exercises
  40.    wt: 3:   1 Chain Rule in Reverse Integration Method
  41.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  42.    wt: 3:   H more Routine to non routine problem solving
  43.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  44.    wt: 3:   Helping the Blind in Logic and Mathematics
  45.    wt: 3:   Systematic Algebra Skill Development Missing Links
  46.    wt: 2:   H LAMP Introduction Instructional Concepts
  47.    wt: 2:   G LAMP Introduction Problem Solving Skills
  48.    wt: 2:   F LAMP Introduction Prerequisites
  49.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  50.    wt: 2:   Ramblings Extrinsic numbers theory
  51.    wt: 2:   Ramblings Introduction Algebra Essay
  52.    wt: 2:   links Education Resources online
  53.    wt: 2:   grouping students according to ability
  54.    wt: 2:   Education Reform Inconsistencies
  55.    wt: 2:   teaching tutoring algebraic reason
  56.    wt: 2:   mathematics instruction in general
  57.    wt: 2:   three kinds of reason in mathematics
  58.    wt: 2:   cultivating intelligence
  59.    wt: 2:   Prequel In For A Penny In For A Pound
  60.    wt: 2:   chapitre 07 01 principle D induction mathematique
  61.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  62.    wt: 2:   chapitre 06 00 Chaines de la raison
  63.    wt: 2:   3 Like resistors in parallel
  64.    wt: 2:   2 Unlike resistors in parallel01
  65.    wt: 2:   1 Like resistors in series
  66.    wt: 2:   F Unlike Resistors in Series
  67.    wt: 2:   Home Tutoring and Home Schooling
  68.    wt: 2:   2 Reading and Writing Skills
  69.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  70.    wt: 2:   26 Function definitions done and coming
  71.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  72.    wt: 2:   12 Function Domain Recognition Exercises
  73.    wt: 2:   7 Functions with finite domains
  74.    wt: 2:   3 Formula or function graphing exercise
  75.    wt: 2:   Introduction Reading Guide
  76.    wt: 2:   3 quadratics factoring by inspection
  77.    wt: 2:   2 quadratics graphing in general
  78.    wt: 2:   1 quadratics graphing exercises
  79.    wt: 2:   16 cotangent function Definition Graph and Inverse
  80.    wt: 2:   15 cosecant function Definition Graph and Inverse
  81.    wt: 2:   14 secant function Definition Graph and Inverse
  82.    wt: 2:   13 cosecant function Definition Graph and Inverse
  83.    wt: 2:   10 arctan left inverse of tangent Definition
  84.    wt: 2:   4 graphing y=Asin(x c)
  85.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  86.    wt: 2:   Parallel Lines and Interior Angles
  87.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  88.    wt: 2:   Straight Lines ASA Intersection Study More
  89.    wt: 2:   Straight Lines ASA Intersection Study
  90.    wt: 2:   Straight Lines Intersection of
  91.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  92.    wt: 2:   C Straight Lines Slope from Coordinates
  93.    wt: 2:   B Straight Line Slope Scaling Properties More
  94.    wt: 2:   A Straight Line Slope Scaling Properties
  95.    wt: 2:   12 Straight Lines Graphing mx plus b
  96.    wt: 2:   11 Straight Lines Graphing y=mx
  97.    wt: 2:   10 Straight Lines through Origin Equations More
  98.    wt: 2:   9 Straight Lines through Origin Equations
  99.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  100.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  101.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  102.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  103.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  104.    wt: 2:   27 Logarithmic use of products of sines and cosines
  105.    wt: 2:   26 Formulas for products of sines and cosines
  106.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  107.    wt: 2:   21 sine and cosine Half Angle Formulas
  108.    wt: 2:   20 sine and cosine Double Angle Formulas
  109.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  110.    wt: 2:   18 sum of sinusoidal waves as a single wave
  111.    wt: 2:   17C sine and cosine double triple angle formulas
  112.    wt: 2:   15 sine cosine Complementary Angle Relations
  113.    wt: 2:   14 cosine even and sine and tangent are odd
  114.    wt: 2:   11 tangent function undefined when terminal side vertical
  115.    wt: 2:   10 Graphs of sines and cosines many periods
  116.    wt: 2:   9 Graphs of sine and cosine over one period
  117.    wt: 2:   7 period of sine and cosine
  118.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  119.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  120.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  121.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  122.    wt: 2:   11 sine and cosine double triple angle formulas
  123.    wt: 2:   3 Trigonometric Ratios sine and cosine
  124.    wt: 2:   11 Triangle Similarity Missing Side Problem
  125.    wt: 2:   4 Similarity Definition with Coordinate
  126.    wt: 2:   2 point slope equation for a line
  127.    wt: 2:   What is and is not here
  128.    wt: 2:   10 Dropping a perpendicular to line
  129.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  130.    wt: 2:   musings do not puiblish real numbers
  131.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  132.    wt: 2:   12 Real Numbers Line Signed Coordinates
  133.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  134.    wt: 2:   9 Division with Digits after Decimal Point
  135.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  136.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  137.    wt: 2:   4 Location of Point in Decimal Addition
  138.    wt: 2:   3 Location of Point in Decimal Multiplication
  139.    wt: 2:   2 Counting Digits in Decimal Multiplication
  140.    wt: 2:   5 Distributive Law for Whole Numbers
  141.    wt: 2:   3 Multiplicative Counting Skills Principles
  142.    wt: 2:   2 Combing Counts Addition Skills and Principles
  143.    wt: 2:   1 The Counting Origins of Numbers
  144.    wt: 2:   9 Coordinates for Regions in Space
  145.    wt: 2:   7 Real Numbers as Line Cordinates
  146.    wt: 2:   4 Solving a triangular system exercise
  147.    wt: 2:   13 Naming Identifying Formulas with Words
  148.    wt: 2:   7 Compound Interest Formula Introduction
  149.    wt: 2:   1 Written work formats for developing and showing skill
  150.    wt: 2:   9 Sets in Probability and Statistics
  151.    wt: 2:   2 Least Common Multiple LCM intro via list method
  152.    wt: 2:   1 Counting and Counting Methods I
  153.    wt: 2:   4 signed coordinates for regions in space
  154.    wt: 2:   7 Converting or Changing Units
  155.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  156.    wt: 2:   B Integer Long Division Multiple Choices
  157.    wt: 2:   12 Adding Integers More Examples
  158.    wt: 2:   11 Adding Integers Formulas and Examples
  159.    wt: 2:   9 Multiplying Integers
  160.    wt: 2:   1 Integers as Coordinates
  161.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  162.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  163.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  164.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  165.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  166.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  167.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  168.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  169.    wt: 2:   11 Another Single Digit Divisor Example
  170.    wt: 2:   8 Correcting the Mistake
  171.    wt: 2:   5 Long Division Include Zeroes or not
  172.    wt: 2:   6. Counting and adding units and mixed units
  173.    wt: 2:   1. Explaining Addition Table
  174.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  175.    wt: 2:   011 Division of Time Intervals By Numbers
  176.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  177.    wt: 2:   8 Addition of Time Intervals via subtotaling
  178.    wt: 2:   4 Mixing and Changing Units of Time
  179.    wt: 2:   3 Two Chain Rule Method Exercises
  180.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  181.    wt: 2:   29 Chain Rule Optional Reading
  182.    wt: 2:   25 Chain Rule Animated Examples Continued
  183.    wt: 2:   23 Chain Rule in general
  184.    wt: 2:   19 Chain Rule for linear functions
  185.    wt: 2:   18 Chain Rule Introduction
  186.    wt: 2:   17 Derivatives of quotients of sine and cosine
  187.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  188.    wt: 2:   15 sine and cosine derivatives 3rd step
  189.    wt: 2:   14 sine and cosine derivatives 2nd step
  190.    wt: 2:   13 sine and cosine derivatives 1st step
  191.    wt: 2:   11 Limits at infinity Three Examples
  192.    wt: 2:   10 Three one sided limits with infinite values
  193.    wt: 2:   6 Continuity at a point
  194.    wt: 2:   3 Decimal insights for limits continuity convergence
  195.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  196.    wt: 2:   F.4 Finite Covering Theorem
  197.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  198.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  199.    wt: 2:   Chapter 16. Painless Theorem Proving
  200.    wt: 2:   Chapter 15. Solving Linear Equations
  201.    wt: 2:   Chapter 10 Describing and Changing Calculations
  202.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  203.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  204.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  205.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  206.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  207.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  208.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  209.    wt: 2:   N Improving Marks on Tests and Finals
  210.    wt: 2:   G. Written work formats for developing and showing skill
  211.    wt: 2:   C. Domino effect of being careful
  212.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  213.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  214.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  215.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  216.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  217.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  218.    wt: 1:   K LAMP Musings Science Education
  219.    wt: 1:   I LAMP Introduction Study Habits
  220.    wt: 1:   E LAMP Introduction Modern Mathematics
  221.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  222.    wt: 1:   A Introduction Objectives
  223.    wt: 1:   Skills Chapter 0 Introduction
  224.    wt: 1:   10 statistics
  225.    wt: 1:   9 combinatorics probability sets
  226.    wt: 1:   7 logic review and decimals an odd combination
  227.    wt: 1:   What is POMME
  228.    wt: 1:   permissions for teachers
  229.    wt: 1:   site origins
  230.    wt: 1:   learning takes time
  231.    wt: 1:   mathematics in context
  232.    wt: 1:   Maps Plans Drawings
  233.    wt: 1:   teaching tips
  234.    wt: 1:   Lessening Algebra Difficulties
  235.    wt: 1:   Operational Viewpoint to Value
  236.    wt: 1:   formal or informal peer review
  237.    wt: 1:   Education in mathematics science and technology
  238.    wt: 1:   How to be a better instructor
  239.    wt: 1:   words for mathematics instructor
  240.    wt: 1:   chapitre 12 00 les iles et division
  241.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  242.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  243.    wt: 1:   chapitre 01 00 Introduction
  244.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  245.    wt: 1:   Trois Notions qui menent a algebre
  246.    wt: 1:   deux definitions pour variable
  247.    wt: 1:   2 Conductance Resistance Duality02
  248.    wt: 1:   1 Conductance Resistance Duality01
  249.    wt: 1:   F Wire Resistance Calculation04
  250.    wt: 1:   E Wire Resistance Calculation03
  251.    wt: 1:   D Wire Resistance Calculation02
  252.    wt: 1:   C Wire Resistance Calculation01
  253.    wt: 1:   B Wire Resistance Qualitative02
  254.    wt: 1:   A Wire Resistance Qualitative01
  255.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  256.    wt: 1:   22 Student Centered Highschool Mathematics
  257.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  258.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  259.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  260.    wt: 1:   15 Counting For Parents
  261.    wt: 1:   10 Ends values for work study instruction
  262.    wt: 1:   9 Streaming by Student Cooperation
  263.    wt: 1:   5 Patience Please for Yourself and Your Charges
  264.    wt: 1:   4 Learning Takes Time and Effort
  265.    wt: 1:   3 Preparing for Science Studies
  266.    wt: 1:   1 Speaking Skills
  267.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  268.    wt: 1:   sign monoticity analysis example 4
  269.    wt: 1:   sign monoticity analysis example 3
  270.    wt: 1:   sign monoticity analysis example 2
  271.    wt: 1:   sign monoticity analysis example 1
  272.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  273.    wt: 1:   23 Inverse Functions
  274.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  275.    wt: 1:   19 Horizontal line rule and method
  276.    wt: 1:   18 Vertical Line Rule and Method
  277.    wt: 1:   17 Function maxima minima and their location
  278.    wt: 1:   15 Sign analysis of functions
  279.    wt: 1:   14 Surjections Injections Bijections
  280.    wt: 1:   11 Function Domain Range Source and Targets
  281.    wt: 1:   10 Interval Notation
  282.    wt: 1:   9 Set theory term relation possible origins
  283.    wt: 1:   6 Set Existence Formation and Notation
  284.    wt: 1:   4 Function notation in and beyond mathematics
  285.    wt: 1:   1 Geometric Introduction of Function Notation
  286.    wt: 1:   10 quadratic exercises
  287.    wt: 1:   5 quadratics completing the square
  288.    wt: 1:   Quadratics in 10 steps
  289.    wt: 1:   11 Growth and Decay in Biology
  290.    wt: 1:   5 Natural Logarithm Calculator Exercises
  291.    wt: 1:   1 Calculator Starter Exercises
  292.    wt: 1:   8 Notes for instructors or tutors
  293.    wt: 1:   7 Links Lessons Elsewhere
  294.    wt: 1:   1 Polynomials Distributive Law
  295.    wt: 1:   Rewriting algebraic substitution as function substitutions
  296.    wt: 1:   11 arctan left inverse of tangent Graph
  297.    wt: 1:   9 motivation for name arcsin
  298.    wt: 1:   2 cosine function more properties
  299.    wt: 1:   1 cosine function properties
  300.    wt: 1:   7 Radian Measures in special Triangles
  301.    wt: 1:   1 Degrees and Radians Introduction
  302.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  303.    wt: 1:   13 Velocity Vectors in Physics
  304.    wt: 1:   9 Head to Tail Coordinate View
  305.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  306.    wt: 1:   6 Vectors with Coordinates
  307.    wt: 1:   2 Signed Coordinates
  308.    wt: 1:   1 Unsigned Coordinates
  309.    wt: 1:   3 graphing y=f(x c) plus K
  310.    wt: 1:   1 graphing y=f(x a)
  311.    wt: 1:   Parallel Lines and Parallel Transversals
  312.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  313.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  314.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  315.    wt: 1:   14 Straight Lines Equations General Case
  316.    wt: 1:   8 Straight Lines Equation for vertical
  317.    wt: 1:   1 Straight Lines Slope Concept
  318.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  319.    wt: 1:   17F Law of cosines
  320.    wt: 1:   17A The complex number valued trig function cis
  321.    wt: 1:   1 Unit Points Reflections Rotations
  322.    wt: 1:   16 References and Originality Question
  323.    wt: 1:   14 Law of cosines
  324.    wt: 1:   9 The complex number valued trig function cis
  325.    wt: 1:   5 An Easy Proof of the Distributive Law
  326.    wt: 1:   1 Rectangular Polar Coordinates Review
  327.    wt: 1:   8 Triangles Cascade Problem Solving
  328.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  329.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  330.    wt: 1:   6 Geometric Diagrams in Class
  331.    wt: 1:   3 Similarity by Design with coordinates
  332.    wt: 1:   Four Simple Exercises
  333.    wt: 1:   12 Links Lessons elsewhere
  334.    wt: 1:   10 Midpoint of [a b] and [b a]
  335.    wt: 1:   8 Mid Point Formula
  336.    wt: 1:   7 Exercises to test skill and concept mastery
  337.    wt: 1:   4 Equations for lines three forms
  338.    wt: 1:   3 Slope product for perpendicular lines
  339.    wt: 1:   1 Numerical view of lines and their equations
  340.    wt: 1:   13 Pythagorean spatial distance formulas
  341.    wt: 1:   12 Spatial Coordinates
  342.    wt: 1:   11 Triangle Inequality
  343.    wt: 1:   10 Pythagorean plane distance formula
  344.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  345.    wt: 1:   4 Polar Coordinates to and from
  346.    wt: 1:   3 Rectangular Coordinates Review
  347.    wt: 1:   2 Cartesian Coordinates with signs
  348.    wt: 1:   1 Cartesian Coordinates sans signs
  349.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  350.    wt: 1:   PS H Distributive Law For Complex Numbers
  351.    wt: 1:   PS G Rotation Distributes over Addition
  352.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  353.    wt: 1:   PS E Multiplication with Polar Coordinates
  354.    wt: 1:   PS D Addition with Cartesian Coordinates
  355.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  356.    wt: 1:   17 Right Bisectors of Triangle Sides
  357.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  358.    wt: 1:   14 Parallel Lines Postulate
  359.    wt: 1:   9 Construction of a right bisector
  360.    wt: 1:   8 Isoceles Triangles
  361.    wt: 1:   6 Ruler and compass Angle Bisection
  362.    wt: 1:   3 Isometry of Triangles Congruence
  363.    wt: 1:   1 Initial Concepts and Terms
  364.    wt: 1:   6 Figuring with Maps Not to Scale
  365.    wt: 1:   2 Measuring Area Directly
  366.    wt: 1:   A Modular and Remainder Arithmetic
  367.    wt: 1:   26 More Less Greater Than Comparison
  368.    wt: 1:   23 Distributive Law Two Derivations
  369.    wt: 1:   21 Addition of Multiples of a Single Vector
  370.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  371.    wt: 1:   15 Head to Tails in place Addition Associative
  372.    wt: 1:   13 Arrows and Vectors in a Plane
  373.    wt: 1:   8 Division and Mulplication of Compound Fractions
  374.    wt: 1:   1 Fractions with Finite Decimal Expansions
  375.    wt: 1:   E Long Division Methods more
  376.    wt: 1:   D Long Division Methods
  377.    wt: 1:   B Decimal Comparison and Subtraction
  378.    wt: 1:   8 Column Multiplication Methods in General
  379.    wt: 1:   4 Commutative Law Groups Counting Form
  380.    wt: 1:   5 Areas of Rectangles Revisited
  381.    wt: 1:   3 Inequalities Algebraically
  382.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  383.    wt: 1:   5 Proportionality in Equivalent Fractions
  384.    wt: 1:   1 What is Proportionality
  385.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  386.    wt: 1:   6 Compound Interest Forward and Backwards
  387.    wt: 1:   3 Linear Equation Literal Solution More
  388.    wt: 1:   2 Linear Equation Literal Solution
  389.    wt: 1:   1 Changing Calculations
  390.    wt: 1:   5 Equality in Algebra
  391.    wt: 1:   4 Subtraction and Division Axioms
  392.    wt: 1:   5 Greater More Less Than Signs in General
  393.    wt: 1:   4 Comparison of Negative Numbers
  394.    wt: 1:   1 Real Numbers Comparison
  395.    wt: 1:   16 Real Numbers Comparison
  396.    wt: 1:   15 Real Number Division
  397.    wt: 1:   12 Real Number Additive Inverses or Negatives
  398.    wt: 1:   8 Coordinates for Maps and Planes
  399.    wt: 1:   2 Integers
  400.    wt: 1:   1 Whole and Natural Numbers
  401.    wt: 1:   5 Independent versus Dependent Variables
  402.    wt: 1:   4 Changing Letters
  403.    wt: 1:   More Exercises
  404.    wt: 1:   Simple Exercises
  405.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  406.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  407.    wt: 1:   2 GE II Comparison
  408.    wt: 1:   3 Solving triangular system example
  409.    wt: 1:   2 Essentially one exercises three with solution
  410.    wt: 1:   5 Algebraic Solutions Introduction
  411.    wt: 1:   Using Letters for Physical Quantities
  412.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  413.    wt: 1:   8 Compound Interest Formula Evaluation
  414.    wt: 1:   3 Counting with Sets etc
  415.    wt: 1:   1 Finite Sets
  416.    wt: 1:   6 Three Notions of What is a Variable
  417.    wt: 1:   5 Talking about Numbers and Quantities
  418.    wt: 1:   3 Adding Words To Arithmetic
  419.    wt: 1:   2 What is a Variable
  420.    wt: 1:   4 Greater More Less Than Signs in General
  421.    wt: 1:   3 Comparison of Negative Numbers
  422.    wt: 1:   1 Squares and Square Roots Introduction
  423.    wt: 1:   5 Common Divisors 60 45 via Prime
  424.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  425.    wt: 1:   1 Least Common Multiples LCM Introduction
  426.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  427.    wt: 1:   4 Counting with Trees Product Rule Take I
  428.    wt: 1:   3 Counting with Tables and Trees II
  429.    wt: 1:   2 Counting with Tables and Trees I
  430.    wt: 1:   10 dividing signed numbers
  431.    wt: 1:   9 subtracting signed numbers
  432.    wt: 1:   8 multiplying signed numbers
  433.    wt: 1:   7 negative and additive inverse
  434.    wt: 1:   6 adding signed numbers
  435.    wt: 1:   3 signed coordinates for maps and planes
  436.    wt: 1:   2 signed and unsigned numbers as coordinates
  437.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  438.    wt: 1:   3 Multiplying Units and Numbers
  439.    wt: 1:   21 Working With Signs
  440.    wt: 1:   21 Reciprocals for Fractions and Wholes
  441.    wt: 1:   20 Dividing Fractions the Why
  442.    wt: 1:   19 Dividing Fractions How TO
  443.    wt: 1:   16 Addition Subtraction Comparision Compared
  444.    wt: 1:   13 Fraction Comparison Algebraic View
  445.    wt: 1:   12 Fraction Comparison
  446.    wt: 1:   1 What is a fraction Take II
  447.    wt: 1:   1 What is a fraction
  448.    wt: 1:   D Remainders Modulo 11 Pair Rule
  449.    wt: 1:   13 Subtraction with Additive Inverse
  450.    wt: 1:   10 Integer Multiplication Formulas
  451.    wt: 1:   8 Multiplication by Signed Numbers Integers
  452.    wt: 1:   5 Zero Movement and Additive Inverses
  453.    wt: 1:   4 Adding Movements wiht opposite directions
  454.    wt: 1:   3 Adding Movements with same direction
  455.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  456.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  457.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  458.    wt: 1:   26 Divisibility by 2 3 5 Example
  459.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  460.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  461.    wt: 1:   23 Remainder Arithmetic Modulo 2
  462.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  463.    wt: 1:   21 Remainder Arithmetic Modulo 3
  464.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  465.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  466.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  467.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  468.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  469.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  470.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  471.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  472.    wt: 1:   5 Remainder Arithmetic Modulo 5
  473.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  474.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  475.    wt: 1:   1 Remainder Arithmetic Modulo 10
  476.    wt: 1:   17 Identify and Count Factors using Primes
  477.    wt: 1:   16 video Factors of 980 using prime
  478.    wt: 1:   15 video Factors of 20 using Prime Factorization
  479.    wt: 1:   13 video Factors of 24 using prime
  480.    wt: 1:   12 LCD GCD and LCM using Primes
  481.    wt: 1:   4 video Prime Factorization Introduction
  482.    wt: 1:   Long Division Backwards more
  483.    wt: 1:   Long Division Backward
  484.    wt: 1:   Division with Counts and Length
  485.    wt: 1:   Long Division forwards and backwards Example 3
  486.    wt: 1:   Long Division forwards and backwards Example 2
  487.    wt: 1:   Long Division forwards and backwards Example 1
  488.    wt: 1:   12 Why Long Division Works Take III
  489.    wt: 1:   10 Division by Five Long and Short Ways
  490.    wt: 1:   9 Why Long Division Works Take II
  491.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  492.    wt: 1:   4 Division with 2 Digit Divsors
  493.    wt: 1:   C Counting Areas with Powers of Ten
  494.    wt: 1:   A Elementary Basis for Multiplication Methods
  495.    wt: 1:   Video Power Notation in Decimal Expansion
  496.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  497.    wt: 1:   9 22 Minute Subtraction Review Video
  498.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  499.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  500.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  501.    wt: 1:   2 Decimal Counting Practices
  502.    wt: 1:   11 Place Value SI Standard International way
  503.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  504.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  505.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  506.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  507.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  508.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  509.    wt: 1:   Quick history of numbers and algebra
  510.    wt: 1:   Exact Arithmetic Wholes and Fractions
  511.    wt: 1:   The 12 Times Table Visually
  512.    wt: 1:   016 Numbering Occidental Calendar Days
  513.    wt: 1:   015 School and work day counting tables
  514.    wt: 1:   014 Counting Days with Calendars
  515.    wt: 1:   010 Repeated Addition of Time Intervals
  516.    wt: 1:   7 Addition of Time Intervals
  517.    wt: 1:   6 How long is a million seconds
  518.    wt: 1:   2 Time and Date Matters in School
  519.    wt: 1:   1 Intro of Kids To Time Date Skills
  520.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  521.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  522.    wt: 1:   A Related Material in Volume 3
  523.    wt: 1:   5 Area Under Curve Exercise
  524.    wt: 1:   A Related lessons in Volume 3
  525.    wt: 1:   4 Second derivative test exercise example
  526.    wt: 1:   A Chain Rule Real Player video examples
  527.    wt: 1:   33 Chain Rule Real Player video examples
  528.    wt: 1:   31 Derivatives of inverse functions
  529.    wt: 1:   30Chain Rule A Proof
  530.    wt: 1:   28 Chain Rule Preparation for a Proof
  531.    wt: 1:   24 Chain Rule Animated Examples
  532.    wt: 1:   22 Chain Rule for polynomials
  533.    wt: 1:   21 Chain Rule for powers
  534.    wt: 1:   20 Chain Rule for Pulley Systems
  535.    wt: 1:   10 Power rule for negative integers
  536.    wt: 1:   3 Motivation for Limit Definition Take 2
  537.    wt: 1:   2 Motivation for Limit Definition Take 1
  538.    wt: 1:   9 Limits Continuity and Composition
  539.    wt: 1:   1 Numerical introduction
  540.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  541.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  542.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  543.    wt: 1:   F.5a Equicontinuity Theorems
  544.    wt: 1:   F.3 Intermediate Value Theorem
  545.    wt: 1:   F.1 What Functions are Continuous
  546.    wt: 1:   E1 Error Control Inequalities
  547.    wt: 1:   C Triangle Inequalities
  548.    wt: 1:   PostScript For and Against Decimal Perspectives
  549.    wt: 1:   A1. Introduction
  550.    wt: 1:   Chapter 23 Links To Trigonometry
  551.    wt: 1:   Chapter 18. Slopes Areas Integration
  552.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  553.    wt: 1:   Chapter 11. Graphing Slope versus Position
  554.    wt: 1:   Chapter 9 About First Courses in Calculus
  555.    wt: 1:   Chapter 8. Slope Interpretation
  556.    wt: 1:   Chapter 4. More Slope Sign Analysis
  557.    wt: 1:   Chapter 3. Slope Sign Analysis
  558.    wt: 1:   Chapter 1.Introduction
  559.    wt: 1:   Appendix D. What to do in School and Why
  560.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  561.    wt: 1:   Chapter 31 Direct and Indirect Reason
  562.    wt: 1:   Chapter 25. Mathematical Induction Examples
  563.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  564.    wt: 1:   Chapter 21. Third Reading Guide
  565.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  566.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  567.    wt: 1:   Chapter 13. Second Reading Guide
  568.    wt: 1:   Postscript What is a Variable
  569.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  570.    wt: 1:   Solutions For Arithmetic Exercises
  571.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  572.    wt: 1:   Chapter 4 Longer Chains of Reason
  573.    wt: 1:   Chapter 3 Chains of Reason
  574.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  575.    wt: 1:   Annotated Links to Material Elsehwere
  576.    wt: 1:   Chapter 11 Elementary Instruction
  577.    wt: 1:   Chapter 8 Modern Instruction
  578.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  579.    wt: 1:   Chapter 2 For and Against Mathematics
  580.    wt: 1:   Chapter 1 Introduction
  581.    wt: 1:   Postscript C Consistency as a Tool for Reason
  582.    wt: 1:   Postscript B More on Story Telling and Reason
  583.    wt: 1:   Postscript A Story Telling
  584.    wt: 1:   Chapter 24 Direct and Indirect Reason
  585.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  586.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  587.    wt: 1:   Chapter 7 Longer Chains of Reason
  588.    wt: 1:   Chapter 6 Chains of Reason
  589.    wt: 1:   Chapter 1 Introduction
  590.    wt: 1:   S Adding words to algebra
  591.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  592.    wt: 1:   O On Learning Mathematics and Science
  593.    wt: 1:   J. More on written work and showing skill
  594.    wt: 1:   H Jigsaw puzzles and problem solving
  595.    wt: 1:   B. Domino effect of errors
  596.    wt: 1:   7 Games and Activities for Instruction
  597.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  598.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  599.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

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757 matches:

  1.    wt: 9:   6 Discipline Who is in Charge Conserving Authority
  2.    wt: 6:   Straight Lines Instersection Solving Equations
  3.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  4.    wt: 5:   7 arcsin left inverse of sine Definition
  5.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  6.    wt: 5:   Straight Lines ASA Intersection Study More
  7.    wt: 5:   Straight Lines ASA Intersection Study
  8.    wt: 5:   Straight Lines Intersection of
  9.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  10.    wt: 5:   6 Intersection of lines by solving linear systems
  11.    wt: 5:   5 Distributive Law for Whole Numbers
  12.    wt: 5:   3 Multiplicative Counting Skills Principles
  13.    wt: 5:   2 Combing Counts Addition Skills and Principles
  14.    wt: 5:   1 The Counting Origins of Numbers
  15.    wt: 5:   4 Solving a triangular system exercise
  16.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  17.    wt: 5:   7 Adding decimal fractions using decimal point
  18.    wt: 5:   2 Indefinite Integrals Exercises
  19.    wt: 5:   26 Chain Rule Recognising outer inner functions
  20.    wt: 4:   Home Tutoring and Home Schooling
  21.    wt: 4:   2 Reading and Writing Skills
  22.    wt: 4:   16 Increasing or decreasing on intervals
  23.    wt: 4:   8 arcsin left inverse of sine Graph
  24.    wt: 4:   5 Swapping Coordinates is a reflection
  25.    wt: 4:   3 Left Inverse of cosine arccos definition
  26.    wt: 4:   4 graphing y=Asin(x c)
  27.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  28.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  29.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  30.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  31.    wt: 4:   7 Tangent Function is odd on this domain
  32.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  33.    wt: 4:   9 Midpoint Coordinates Half Endpoint Sum
  34.    wt: 4:   8 Distance Between Points on a Line
  35.    wt: 4:   E Long Division Methods more
  36.    wt: 4:   D Long Division Methods
  37.    wt: 4:   B Decimal Comparison and Subtraction
  38.    wt: 4:   8 Column Multiplication Methods in General
  39.    wt: 4:   4 Commutative Law Groups Counting Form
  40.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  41.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  42.    wt: 4:   2 GE II Comparison
  43.    wt: 4:   3 Solving triangular system example
  44.    wt: 4:   2 Essentially one exercises three with solution
  45.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  46.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  47.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  48.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  49.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  50.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  51.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  52.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  53.    wt: 4:   7 Long Divison Mistake Catching
  54.    wt: 4:   3 Division Single Digit Divisor Example
  55.    wt: 4:   2 Division with Single Digit Divisors
  56.    wt: 4:   6. Counting and adding units and mixed units
  57.    wt: 4:   1. Explaining Addition Table
  58.    wt: 4:   4 Definite Integrals Evaluation Exercises
  59.    wt: 4:   1 Chain Rule in Reverse Integration Method
  60.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  61.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  62.    wt: 3:   J LAMP Introduction Extrinsic Origins
  63.    wt: 3:   Different Kinds of Reasoning in maths
  64.    wt: 3:   fairness and inductive principles for instruction
  65.    wt: 3:   chapitre 07 01 principle D induction mathematique
  66.    wt: 3:   chapitre 07 00 Des chaines plus longues de la raison
  67.    wt: 3:   chapitre 06 00 Chaines de la raison
  68.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  69.    wt: 3:   22 Student Centered Highschool Mathematics
  70.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  71.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  72.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  73.    wt: 3:   15 Counting For Parents
  74.    wt: 3:   10 Ends values for work study instruction
  75.    wt: 3:   9 Streaming by Student Cooperation
  76.    wt: 3:   5 Patience Please for Yourself and Your Charges
  77.    wt: 3:   4 Learning Takes Time and Effort
  78.    wt: 3:   3 Preparing for Science Studies
  79.    wt: 3:   1 Speaking Skills
  80.    wt: 3:   20 Interchanging coordinates a reflection
  81.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  82.    wt: 3:   4 Polynomials Long division linear divisor
  83.    wt: 3:   16 cotangent function Definition Graph and Inverse
  84.    wt: 3:   15 cosecant function Definition Graph and Inverse
  85.    wt: 3:   14 secant function Definition Graph and Inverse
  86.    wt: 3:   13 cosecant function Definition Graph and Inverse
  87.    wt: 3:   10 arctan left inverse of tangent Definition
  88.    wt: 3:   3 graphing y=f(x c) plus K
  89.    wt: 3:   1 graphing y=f(x a)
  90.    wt: 3:   Parallel Lines and Interior Angles
  91.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  92.    wt: 3:   C Straight Lines Slope from Coordinates
  93.    wt: 3:   B Straight Line Slope Scaling Properties More
  94.    wt: 3:   A Straight Line Slope Scaling Properties
  95.    wt: 3:   12 Straight Lines Graphing mx plus b
  96.    wt: 3:   11 Straight Lines Graphing y=mx
  97.    wt: 3:   10 Straight Lines through Origin Equations More
  98.    wt: 3:   9 Straight Lines through Origin Equations
  99.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  100.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  101.    wt: 3:   28 Expressing products of sines cosines as sums
  102.    wt: 3:   17D cis formulas for sine cosines and tangent
  103.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  104.    wt: 3:   12 cis formulas for sine cosines and tangent
  105.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  106.    wt: 3:   11 Triangle Similarity Missing Side Problem
  107.    wt: 3:   4 Similarity Definition with Coordinate
  108.    wt: 3:   2 point slope equation for a line
  109.    wt: 3:   What is and is not here
  110.    wt: 3:   musings do not puiblish real numbers
  111.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  112.    wt: 3:   12 Real Numbers Line Signed Coordinates
  113.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  114.    wt: 3:   9 Division with Digits after Decimal Point
  115.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  116.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  117.    wt: 3:   4 Location of Point in Decimal Addition
  118.    wt: 3:   3 Location of Point in Decimal Multiplication
  119.    wt: 3:   2 Counting Digits in Decimal Multiplication
  120.    wt: 3:   C Three Decimal Subtraction Methods
  121.    wt: 3:   A Decimal Addition Columm Methods
  122.    wt: 3:   7 Decimals Multiplication Methods Examples
  123.    wt: 3:   6 Column Methods for Decimal Multiplication
  124.    wt: 3:   5 Greater More Less Than Signs in General
  125.    wt: 3:   4 Comparison of Negative Numbers
  126.    wt: 3:   1 Real Numbers Comparison
  127.    wt: 3:   More Exercises
  128.    wt: 3:   Simple Exercises
  129.    wt: 3:   4 GE III Animated Examples
  130.    wt: 3:   3 GE III Equation Addition and Multiplication
  131.    wt: 3:   1 GE Substitution four examples
  132.    wt: 3:   1 Essentially One Unknown
  133.    wt: 3:   5 Algebraic Solutions Introduction
  134.    wt: 3:   Using Letters for Physical Quantities
  135.    wt: 3:   9 Sets in Probability and Statistics
  136.    wt: 3:   1 Counting and Counting Methods I
  137.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  138.    wt: 3:   14 Adding and Subtracting with Like Denominators
  139.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  140.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  141.    wt: 3:   B Integer Long Division Multiple Choices
  142.    wt: 3:   12 Adding Integers More Examples
  143.    wt: 3:   11 Adding Integers Formulas and Examples
  144.    wt: 3:   9 Multiplying Integers
  145.    wt: 3:   1 Integers as Coordinates
  146.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  147.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  148.    wt: 3:   26 Divisibility by 2 3 5 Example
  149.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  150.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  151.    wt: 3:   23 Remainder Arithmetic Modulo 2
  152.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  153.    wt: 3:   21 Remainder Arithmetic Modulo 3
  154.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  155.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  156.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  157.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  158.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  159.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  160.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  161.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  162.    wt: 3:   5 Remainder Arithmetic Modulo 5
  163.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  164.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  165.    wt: 3:   1 Remainder Arithmetic Modulo 10
  166.    wt: 3:   11 Another Single Digit Divisor Example
  167.    wt: 3:   8 Correcting the Mistake
  168.    wt: 3:   5 Long Division Include Zeroes or not
  169.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  170.    wt: 3:   9 22 Minute Subtraction Review Video
  171.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  172.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  173.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  174.    wt: 3:   2 Decimal Counting Practices
  175.    wt: 3:   012 Division of Time Intervals by Time Intervals
  176.    wt: 3:   3 Two Chain Rule Method Exercises
  177.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  178.    wt: 3:   29 Chain Rule Optional Reading
  179.    wt: 3:   25 Chain Rule Animated Examples Continued
  180.    wt: 3:   23 Chain Rule in general
  181.    wt: 3:   19 Chain Rule for linear functions
  182.    wt: 3:   18 Chain Rule Introduction
  183.    wt: 3:   17 Derivatives of quotients of sine and cosine
  184.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  185.    wt: 3:   15 sine and cosine derivatives 3rd step
  186.    wt: 3:   14 sine and cosine derivatives 2nd step
  187.    wt: 3:   13 sine and cosine derivatives 1st step
  188.    wt: 3:   11 Limits at infinity Three Examples
  189.    wt: 3:   10 Three one sided limits with infinite values
  190.    wt: 3:   6 Continuity at a point
  191.    wt: 3:   3 Decimal insights for limits continuity convergence
  192.    wt: 3:   H more Routine to non routine problem solving
  193.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  194.    wt: 3:   Helping the Blind in Logic and Mathematics
  195.    wt: 3:   Systematic Algebra Skill Development Missing Links
  196.    wt: 2:   H LAMP Introduction Instructional Concepts
  197.    wt: 2:   G LAMP Introduction Problem Solving Skills
  198.    wt: 2:   F LAMP Introduction Prerequisites
  199.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  200.    wt: 2:   Ramblings Extrinsic numbers theory
  201.    wt: 2:   Ramblings Introduction Algebra Essay
  202.    wt: 2:   links Education Resources online
  203.    wt: 2:   grouping students according to ability
  204.    wt: 2:   Education Reform Inconsistencies
  205.    wt: 2:   teaching tutoring algebraic reason
  206.    wt: 2:   mathematics instruction in general
  207.    wt: 2:   three kinds of reason in mathematics
  208.    wt: 2:   cultivating intelligence
  209.    wt: 2:   Prequel In For A Penny In For A Pound
  210.    wt: 2:   chapitre 12 00 les iles et division
  211.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  212.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  213.    wt: 2:   chapitre 01 00 Introduction
  214.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  215.    wt: 2:   Trois Notions qui menent a algebre
  216.    wt: 2:   deux definitions pour variable
  217.    wt: 2:   3 Like resistors in parallel
  218.    wt: 2:   2 Unlike resistors in parallel01
  219.    wt: 2:   1 Like resistors in series
  220.    wt: 2:   F Unlike Resistors in Series
  221.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  222.    wt: 2:   24 Standards For Skill Develoment Take II
  223.    wt: 2:   24 Standards For Skill Develoment
  224.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  225.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  226.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  227.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  228.    wt: 2:   18 Primary School Mathematics
  229.    wt: 2:   17 Math Booklets for children and young teenagers
  230.    wt: 2:   16 Secondary Mathematics Tips
  231.    wt: 2:   14 Multiplication and Times Tables
  232.    wt: 2:   13 Addition and Addition Tables
  233.    wt: 2:   12 Goals and Objectives For Mathematics
  234.    wt: 2:   11 Help and Defend Your Child or Teens Education
  235.    wt: 2:   8 The Effect of Negative Remarks
  236.    wt: 2:   7 Student Motivation
  237.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  238.    wt: 2:   sign monoticity analysis example 4
  239.    wt: 2:   sign monoticity analysis example 3
  240.    wt: 2:   sign monoticity analysis example 2
  241.    wt: 2:   sign monoticity analysis example 1
  242.    wt: 2:   26 Function definitions done and coming
  243.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  244.    wt: 2:   12 Function Domain Recognition Exercises
  245.    wt: 2:   7 Functions with finite domains
  246.    wt: 2:   3 Formula or function graphing exercise
  247.    wt: 2:   Introduction Reading Guide
  248.    wt: 2:   3 quadratics factoring by inspection
  249.    wt: 2:   2 quadratics graphing in general
  250.    wt: 2:   1 quadratics graphing exercises
  251.    wt: 2:   11 arctan left inverse of tangent Graph
  252.    wt: 2:   9 motivation for name arcsin
  253.    wt: 2:   2 cosine function more properties
  254.    wt: 2:   1 cosine function properties
  255.    wt: 2:   Parallel Lines and Parallel Transversals
  256.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  257.    wt: 2:   14 Straight Lines Equations General Case
  258.    wt: 2:   8 Straight Lines Equation for vertical
  259.    wt: 2:   1 Straight Lines Slope Concept
  260.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  261.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  262.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  263.    wt: 2:   27 Logarithmic use of products of sines and cosines
  264.    wt: 2:   26 Formulas for products of sines and cosines
  265.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  266.    wt: 2:   21 sine and cosine Half Angle Formulas
  267.    wt: 2:   20 sine and cosine Double Angle Formulas
  268.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  269.    wt: 2:   18 sum of sinusoidal waves as a single wave
  270.    wt: 2:   17C sine and cosine double triple angle formulas
  271.    wt: 2:   15 sine cosine Complementary Angle Relations
  272.    wt: 2:   14 cosine even and sine and tangent are odd
  273.    wt: 2:   11 tangent function undefined when terminal side vertical
  274.    wt: 2:   10 Graphs of sines and cosines many periods
  275.    wt: 2:   9 Graphs of sine and cosine over one period
  276.    wt: 2:   7 period of sine and cosine
  277.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  278.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  279.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  280.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  281.    wt: 2:   11 sine and cosine double triple angle formulas
  282.    wt: 2:   3 Trigonometric Ratios sine and cosine
  283.    wt: 2:   6 Geometric Diagrams in Class
  284.    wt: 2:   3 Similarity by Design with coordinates
  285.    wt: 2:   Four Simple Exercises
  286.    wt: 2:   12 Links Lessons elsewhere
  287.    wt: 2:   10 Midpoint of [a b] and [b a]
  288.    wt: 2:   8 Mid Point Formula
  289.    wt: 2:   7 Exercises to test skill and concept mastery
  290.    wt: 2:   4 Equations for lines three forms
  291.    wt: 2:   3 Slope product for perpendicular lines
  292.    wt: 2:   1 Numerical view of lines and their equations
  293.    wt: 2:   13 Pythagorean spatial distance formulas
  294.    wt: 2:   12 Spatial Coordinates
  295.    wt: 2:   11 Triangle Inequality
  296.    wt: 2:   10 Pythagorean plane distance formula
  297.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  298.    wt: 2:   4 Polar Coordinates to and from
  299.    wt: 2:   3 Rectangular Coordinates Review
  300.    wt: 2:   2 Cartesian Coordinates with signs
  301.    wt: 2:   1 Cartesian Coordinates sans signs
  302.    wt: 2:   10 Dropping a perpendicular to line
  303.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  304.    wt: 2:   A Modular and Remainder Arithmetic
  305.    wt: 2:   26 More Less Greater Than Comparison
  306.    wt: 2:   23 Distributive Law Two Derivations
  307.    wt: 2:   21 Addition of Multiples of a Single Vector
  308.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  309.    wt: 2:   15 Head to Tails in place Addition Associative
  310.    wt: 2:   13 Arrows and Vectors in a Plane
  311.    wt: 2:   8 Division and Mulplication of Compound Fractions
  312.    wt: 2:   1 Fractions with Finite Decimal Expansions
  313.    wt: 2:   5 Areas of Rectangles Revisited
  314.    wt: 2:   3 Inequalities Algebraically
  315.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  316.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  317.    wt: 2:   6 Compound Interest Forward and Backwards
  318.    wt: 2:   3 Linear Equation Literal Solution More
  319.    wt: 2:   2 Linear Equation Literal Solution
  320.    wt: 2:   1 Changing Calculations
  321.    wt: 2:   3 More and Less Than with Unlike Signs
  322.    wt: 2:   2 More and Less Than for Counts and Measures
  323.    wt: 2:   9 Coordinates for Regions in Space
  324.    wt: 2:   7 Real Numbers as Line Cordinates
  325.    wt: 2:   6 Algebraic Solution Example
  326.    wt: 2:   4 Four Examples Fractional Coefficients
  327.    wt: 2:   3 Four Examples
  328.    wt: 2:   2 Three Examples
  329.    wt: 2:   1 Proper Equal Sign Usage
  330.    wt: 2:   Skill Development Notes
  331.    wt: 2:   10 One Example
  332.    wt: 2:   9 Three Examples
  333.    wt: 2:   8 One Example
  334.    wt: 2:   7 Two Examples
  335.    wt: 2:   6 Three Examples
  336.    wt: 2:   5 Three Examples
  337.    wt: 2:   4 Two Examples
  338.    wt: 2:   3 Two Examples
  339.    wt: 2:   2 Three Examples
  340.    wt: 2:   Formula Usage Show Work Format
  341.    wt: 2:   13 Naming Identifying Formulas with Words
  342.    wt: 2:   7 Compound Interest Formula Introduction
  343.    wt: 2:   1 Written work formats for developing and showing skill
  344.    wt: 2:   3 Counting with Sets etc
  345.    wt: 2:   1 Finite Sets
  346.    wt: 2:   4 Greater More Less Than Signs in General
  347.    wt: 2:   3 Comparison of Negative Numbers
  348.    wt: 2:   2 Least Common Multiple LCM intro via list method
  349.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  350.    wt: 2:   4 Counting with Trees Product Rule Take I
  351.    wt: 2:   3 Counting with Tables and Trees II
  352.    wt: 2:   2 Counting with Tables and Trees I
  353.    wt: 2:   4 signed coordinates for regions in space
  354.    wt: 2:   7 Converting or Changing Units
  355.    wt: 2:   D Remainders Modulo 11 Pair Rule
  356.    wt: 2:   13 Subtraction with Additive Inverse
  357.    wt: 2:   10 Integer Multiplication Formulas
  358.    wt: 2:   8 Multiplication by Signed Numbers Integers
  359.    wt: 2:   5 Zero Movement and Additive Inverses
  360.    wt: 2:   4 Adding Movements wiht opposite directions
  361.    wt: 2:   3 Adding Movements with same direction
  362.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  363.    wt: 2:   Long Division Backwards more
  364.    wt: 2:   Long Division Backward
  365.    wt: 2:   Division with Counts and Length
  366.    wt: 2:   Long Division forwards and backwards Example 3
  367.    wt: 2:   Long Division forwards and backwards Example 2
  368.    wt: 2:   Long Division forwards and backwards Example 1
  369.    wt: 2:   12 Why Long Division Works Take III
  370.    wt: 2:   10 Division by Five Long and Short Ways
  371.    wt: 2:   9 Why Long Division Works Take II
  372.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  373.    wt: 2:   4 Division with 2 Digit Divsors
  374.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  375.    wt: 2:   Subtraction with J Conversions Example
  376.    wt: 2:   Subtraction Another Video Lesson
  377.    wt: 2:   8 Subtraction with Units of Measure
  378.    wt: 2:   5 A Tip for Efficent Subtraction
  379.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  380.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  381.    wt: 2:   2 Subtraction Easy Case Examples
  382.    wt: 2:   8 What skills and work habits to require
  383.    wt: 2:   5. How to add decimals C. Examples
  384.    wt: 2:   4. How to add with decimals B with conversions
  385.    wt: 2:   3. How to add with decimals A sans conversions
  386.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  387.    wt: 2:   011 Division of Time Intervals By Numbers
  388.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  389.    wt: 2:   8 Addition of Time Intervals via subtotaling
  390.    wt: 2:   4 Mixing and Changing Units of Time
  391.    wt: 2:   A Related Material in Volume 3
  392.    wt: 2:   5 Area Under Curve Exercise
  393.    wt: 2:   A Related lessons in Volume 3
  394.    wt: 2:   4 Second derivative test exercise example
  395.    wt: 2:   A Chain Rule Real Player video examples
  396.    wt: 2:   33 Chain Rule Real Player video examples
  397.    wt: 2:   31 Derivatives of inverse functions
  398.    wt: 2:   30Chain Rule A Proof
  399.    wt: 2:   28 Chain Rule Preparation for a Proof
  400.    wt: 2:   24 Chain Rule Animated Examples
  401.    wt: 2:   22 Chain Rule for polynomials
  402.    wt: 2:   21 Chain Rule for powers
  403.    wt: 2:   20 Chain Rule for Pulley Systems
  404.    wt: 2:   10 Power rule for negative integers
  405.    wt: 2:   3 Motivation for Limit Definition Take 2
  406.    wt: 2:   2 Motivation for Limit Definition Take 1
  407.    wt: 2:   9 Limits Continuity and Composition
  408.    wt: 2:   1 Numerical introduction
  409.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  410.    wt: 2:   F.4 Finite Covering Theorem
  411.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  412.    wt: 2:   Chapter 23 Links To Trigonometry
  413.    wt: 2:   Chapter 18. Slopes Areas Integration
  414.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  415.    wt: 2:   Chapter 11. Graphing Slope versus Position
  416.    wt: 2:   Chapter 9 About First Courses in Calculus
  417.    wt: 2:   Chapter 8. Slope Interpretation
  418.    wt: 2:   Chapter 4. More Slope Sign Analysis
  419.    wt: 2:   Chapter 3. Slope Sign Analysis
  420.    wt: 2:   Chapter 1.Introduction
  421.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  422.    wt: 2:   Chapter 16. Painless Theorem Proving
  423.    wt: 2:   Chapter 15. Solving Linear Equations
  424.    wt: 2:   Chapter 10 Describing and Changing Calculations
  425.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  426.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  427.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  428.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  429.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  430.    wt: 2:   Chapter 3 What is in chapters 4 to 8
  431.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  432.    wt: 2:   N Improving Marks on Tests and Finals
  433.    wt: 2:   G. Written work formats for developing and showing skill
  434.    wt: 2:   C. Domino effect of being careful
  435.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  436.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  437.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  438.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  439.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  440.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  441.    wt: 1:   K LAMP Musings Science Education
  442.    wt: 1:   I LAMP Introduction Study Habits
  443.    wt: 1:   E LAMP Introduction Modern Mathematics
  444.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  445.    wt: 1:   A Introduction Objectives
  446.    wt: 1:   Skills Chapter 0 Introduction
  447.    wt: 1:   10 statistics
  448.    wt: 1:   9 combinatorics probability sets
  449.    wt: 1:   7 logic review and decimals an odd combination
  450.    wt: 1:   What is POMME
  451.    wt: 1:   permissions for teachers
  452.    wt: 1:   site origins
  453.    wt: 1:   learning takes time
  454.    wt: 1:   mathematics in context
  455.    wt: 1:   Maps Plans Drawings
  456.    wt: 1:   teaching tips
  457.    wt: 1:   Lessening Algebra Difficulties
  458.    wt: 1:   Operational Viewpoint to Value
  459.    wt: 1:   formal or informal peer review
  460.    wt: 1:   Education in mathematics science and technology
  461.    wt: 1:   How to be a better instructor
  462.    wt: 1:   words for mathematics instructor
  463.    wt: 1:   chapitre 05 00 Deception
  464.    wt: 1:   chapitre 04 09 Regles accidentelles
  465.    wt: 1:   chapitre 04 08 Limitations et benefices
  466.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  467.    wt: 1:   chapitre 04 06 engagements
  468.    wt: 1:   chapitre 04 05 Implication versus suggestion
  469.    wt: 1:   chapitre 04 04 Parlons de la logique
  470.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  471.    wt: 1:   chapitre 04 02 Deuxieme enigme
  472.    wt: 1:   chapitre 04 01 Premiere enigme
  473.    wt: 1:   chapitre 04 00 Les regles d implication
  474.    wt: 1:   chapitre 02 00 La Communication des idees
  475.    wt: 1:   liens
  476.    wt: 1:   problemes responses
  477.    wt: 1:   problemes algebre et arithmetique
  478.    wt: 1:   logique deux enigme
  479.    wt: 1:   2 Conductance Resistance Duality02
  480.    wt: 1:   1 Conductance Resistance Duality01
  481.    wt: 1:   F Wire Resistance Calculation04
  482.    wt: 1:   E Wire Resistance Calculation03
  483.    wt: 1:   D Wire Resistance Calculation02
  484.    wt: 1:   C Wire Resistance Calculation01
  485.    wt: 1:   B Wire Resistance Qualitative02
  486.    wt: 1:   A Wire Resistance Qualitative01
  487.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  488.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  489.    wt: 1:   23 Inverse Functions
  490.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  491.    wt: 1:   19 Horizontal line rule and method
  492.    wt: 1:   18 Vertical Line Rule and Method
  493.    wt: 1:   17 Function maxima minima and their location
  494.    wt: 1:   15 Sign analysis of functions
  495.    wt: 1:   14 Surjections Injections Bijections
  496.    wt: 1:   11 Function Domain Range Source and Targets
  497.    wt: 1:   10 Interval Notation
  498.    wt: 1:   9 Set theory term relation possible origins
  499.    wt: 1:   6 Set Existence Formation and Notation
  500.    wt: 1:   4 Function notation in and beyond mathematics
  501.    wt: 1:   1 Geometric Introduction of Function Notation
  502.    wt: 1:   10 quadratic exercises
  503.    wt: 1:   5 quadratics completing the square
  504.    wt: 1:   Quadratics in 10 steps
  505.    wt: 1:   11 Growth and Decay in Biology
  506.    wt: 1:   5 Natural Logarithm Calculator Exercises
  507.    wt: 1:   1 Calculator Starter Exercises
  508.    wt: 1:   8 Notes for instructors or tutors
  509.    wt: 1:   7 Links Lessons Elsewhere
  510.    wt: 1:   1 Polynomials Distributive Law
  511.    wt: 1:   Rewriting algebraic substitution as function substitutions
  512.    wt: 1:   12 motivation for term arctan
  513.    wt: 1:   6 Graph of arccos function
  514.    wt: 1:   4 possible motivation for term arccos
  515.    wt: 1:   7 Radian Measures in special Triangles
  516.    wt: 1:   1 Degrees and Radians Introduction
  517.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  518.    wt: 1:   13 Velocity Vectors in Physics
  519.    wt: 1:   9 Head to Tail Coordinate View
  520.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  521.    wt: 1:   6 Vectors with Coordinates
  522.    wt: 1:   2 Signed Coordinates
  523.    wt: 1:   1 Unsigned Coordinates
  524.    wt: 1:   Triangle Angles Sum To 180 Degrees
  525.    wt: 1:   5 Tangent Function Graph
  526.    wt: 1:   4 Tangent Function Properties
  527.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  528.    wt: 1:   17F Law of cosines
  529.    wt: 1:   17A The complex number valued trig function cis
  530.    wt: 1:   1 Unit Points Reflections Rotations
  531.    wt: 1:   16 References and Originality Question
  532.    wt: 1:   14 Law of cosines
  533.    wt: 1:   9 The complex number valued trig function cis
  534.    wt: 1:   5 An Easy Proof of the Distributive Law
  535.    wt: 1:   1 Rectangular Polar Coordinates Review
  536.    wt: 1:   8 Triangles Cascade Problem Solving
  537.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  538.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  539.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  540.    wt: 1:   12 Triangles Similarity More Problems
  541.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  542.    wt: 1:   9 Similarity of Triangles Usual Criteria
  543.    wt: 1:   8 Similarity of Triangles and Polygons
  544.    wt: 1:   7 Translations Rotations Reflections Dilatations
  545.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  546.    wt: 1:   2 Similarity By Design
  547.    wt: 1:   1 Early Concept of Like or Similar Shapes
  548.    wt: 1:   11 A Partial Summary
  549.    wt: 1:   5 Algebraic View of Slopes
  550.    wt: 1:   7 Complex Numbers Appetizer
  551.    wt: 1:   6 Polar Multiplication and Rotation
  552.    wt: 1:   5 Cartesian Addition and Translation
  553.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  554.    wt: 1:   PS H Distributive Law For Complex Numbers
  555.    wt: 1:   PS G Rotation Distributes over Addition
  556.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  557.    wt: 1:   PS E Multiplication with Polar Coordinates
  558.    wt: 1:   PS D Addition with Cartesian Coordinates
  559.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  560.    wt: 1:   17 Right Bisectors of Triangle Sides
  561.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  562.    wt: 1:   14 Parallel Lines Postulate
  563.    wt: 1:   9 Construction of a right bisector
  564.    wt: 1:   8 Isoceles Triangles
  565.    wt: 1:   6 Ruler and compass Angle Bisection
  566.    wt: 1:   3 Isometry of Triangles Congruence
  567.    wt: 1:   1 Initial Concepts and Terms
  568.    wt: 1:   6 Figuring with Maps Not to Scale
  569.    wt: 1:   2 Measuring Area Directly
  570.    wt: 1:   A Signed Number Arithmetic Review
  571.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  572.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  573.    wt: 1:   22 Multiplication of Signed Numbers
  574.    wt: 1:   19 Signed Multiples of Vectors
  575.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  576.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  577.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  578.    wt: 1:   11 Signed Number Addition and Addition Properties
  579.    wt: 1:   4 Fraction Operations Axiomatic Development
  580.    wt: 1:   2 Fraction Operations Physical Development
  581.    wt: 1:   5 Proportionality in Equivalent Fractions
  582.    wt: 1:   1 What is Proportionality
  583.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  584.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  585.    wt: 1:   5 Triangle Area Formula Backwards
  586.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  587.    wt: 1:   5 Equality in Algebra
  588.    wt: 1:   4 Subtraction and Division Axioms
  589.    wt: 1:   16 Real Numbers Comparison
  590.    wt: 1:   15 Real Number Division
  591.    wt: 1:   12 Real Number Additive Inverses or Negatives
  592.    wt: 1:   8 Coordinates for Maps and Planes
  593.    wt: 1:   2 Integers
  594.    wt: 1:   1 Whole and Natural Numbers
  595.    wt: 1:   5 Independent versus Dependent Variables
  596.    wt: 1:   4 Changing Letters
  597.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  598.    wt: 1:   8 Compound Interest Formula Evaluation
  599.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  600.    wt: 1:   8 Sets of Numbers
  601.    wt: 1:   7 Cautious or Safe Set Construction
  602.    wt: 1:   6 Power Set Notation
  603.    wt: 1:   5 Product Builder Notation
  604.    wt: 1:   4 Subset Builder Notation
  605.    wt: 1:   2 Venn Diagrams
  606.    wt: 1:   6 Three Notions of What is a Variable
  607.    wt: 1:   5 Talking about Numbers and Quantities
  608.    wt: 1:   3 Adding Words To Arithmetic
  609.    wt: 1:   2 What is a Variable
  610.    wt: 1:   2 More and Less Than with Unlike Signs
  611.    wt: 1:   1 More and Less Than for Counts and Measures
  612.    wt: 1:   1 Squares and Square Roots Introduction
  613.    wt: 1:   5 Common Divisors 60 45 via Prime
  614.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  615.    wt: 1:   1 Least Common Multiples LCM Introduction
  616.    wt: 1:   10 dividing signed numbers
  617.    wt: 1:   9 subtracting signed numbers
  618.    wt: 1:   8 multiplying signed numbers
  619.    wt: 1:   7 negative and additive inverse
  620.    wt: 1:   6 adding signed numbers
  621.    wt: 1:   3 signed coordinates for maps and planes
  622.    wt: 1:   2 signed and unsigned numbers as coordinates
  623.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  624.    wt: 1:   3 Multiplying Units and Numbers
  625.    wt: 1:   21 Working With Signs
  626.    wt: 1:   21 Reciprocals for Fractions and Wholes
  627.    wt: 1:   20 Dividing Fractions the Why
  628.    wt: 1:   19 Dividing Fractions How TO
  629.    wt: 1:   16 Addition Subtraction Comparision Compared
  630.    wt: 1:   13 Fraction Comparison Algebraic View
  631.    wt: 1:   12 Fraction Comparison
  632.    wt: 1:   1 What is a fraction Take II
  633.    wt: 1:   1 What is a fraction
  634.    wt: 1:   A Associative Law Theorectical Note
  635.    wt: 1:   7 Multiplication by Signs
  636.    wt: 1:   6 Multiplication by Natural Numbers
  637.    wt: 1:   17 Identify and Count Factors using Primes
  638.    wt: 1:   16 video Factors of 980 using prime
  639.    wt: 1:   15 video Factors of 20 using Prime Factorization
  640.    wt: 1:   13 video Factors of 24 using prime
  641.    wt: 1:   12 LCD GCD and LCM using Primes
  642.    wt: 1:   4 video Prime Factorization Introduction
  643.    wt: 1:   1 Divsion Physical Examples
  644.    wt: 1:   C Counting Areas with Powers of Ten
  645.    wt: 1:   A Elementary Basis for Multiplication Methods
  646.    wt: 1:   Video Power Notation in Decimal Expansion
  647.    wt: 1:   11 Place Value SI Standard International way
  648.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  649.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  650.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  651.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  652.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  653.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  654.    wt: 1:   Quick history of numbers and algebra
  655.    wt: 1:   Exact Arithmetic Wholes and Fractions
  656.    wt: 1:   The 12 Times Table Visually
  657.    wt: 1:   016 Numbering Occidental Calendar Days
  658.    wt: 1:   015 School and work day counting tables
  659.    wt: 1:   014 Counting Days with Calendars
  660.    wt: 1:   010 Repeated Addition of Time Intervals
  661.    wt: 1:   7 Addition of Time Intervals
  662.    wt: 1:   6 How long is a million seconds
  663.    wt: 1:   2 Time and Date Matters in School
  664.    wt: 1:   1 Intro of Kids To Time Date Skills
  665.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  666.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  667.    wt: 1:   3 Second derivative test
  668.    wt: 1:   2 Second derivative test prequel
  669.    wt: 1:   38 Formulas and derivatives for powers and roots
  670.    wt: 1:   36 Cube root derivative animated
  671.    wt: 1:   34 Derivative of exponential function
  672.    wt: 1:   12 Quotient rule examples
  673.    wt: 1:   11 Quotient rule
  674.    wt: 1:   9 Reciprocal rule
  675.    wt: 1:   8 Differentiation of polynomials
  676.    wt: 1:   7 Animated Differentiation Examples
  677.    wt: 1:   6 Power rule from product rule
  678.    wt: 1:   5 Product Rule
  679.    wt: 1:   4 Sum Rule
  680.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  681.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  682.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  683.    wt: 1:   8 Four Animated Examples
  684.    wt: 1:   7 Evaluation by immediate or delayed substitution
  685.    wt: 1:   5 Jumps and absence of unlimited error control
  686.    wt: 1:   4 Numerical properties
  687.    wt: 1:   2 Algebraic codification
  688.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  689.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  690.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  691.    wt: 1:   F.5a Equicontinuity Theorems
  692.    wt: 1:   F.3 Intermediate Value Theorem
  693.    wt: 1:   F.1 What Functions are Continuous
  694.    wt: 1:   E1 Error Control Inequalities
  695.    wt: 1:   C Triangle Inequalities
  696.    wt: 1:   PostScript For and Against Decimal Perspectives
  697.    wt: 1:   A1. Introduction
  698.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  699.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  700.    wt: 1:   Chapter 22 Complex Numbers
  701.    wt: 1:   Chapter 21 Arrow Addition
  702.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  703.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  704.    wt: 1:   Chapter 17. Area Approximation
  705.    wt: 1:   Chapter 16. Velocity Approximation
  706.    wt: 1:   Chapter 15. Slope Approximation
  707.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  708.    wt: 1:   Chapter 13. Acceleration
  709.    wt: 1:   Chapter 12. Units and Slopes
  710.    wt: 1:   Chapter 10 Slopes and Units
  711.    wt: 1:   Chapter 7 Slopes and Velocity
  712.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  713.    wt: 1:   Chapter 5. Slope Sign Tests
  714.    wt: 1:   Chapter 2. Slopes and Ski Trails
  715.    wt: 1:   Fall 1983 Calculus Appetizer
  716.    wt: 1:   Foreword
  717.    wt: 1:   Appendix D. What to do in School and Why
  718.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  719.    wt: 1:   Chapter 31 Direct and Indirect Reason
  720.    wt: 1:   Chapter 25. Mathematical Induction Examples
  721.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  722.    wt: 1:   Chapter 21. Third Reading Guide
  723.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  724.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  725.    wt: 1:   Chapter 13. Second Reading Guide
  726.    wt: 1:   Postscript What is a Variable
  727.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  728.    wt: 1:   Solutions For Arithmetic Exercises
  729.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  730.    wt: 1:   Chapter 4 Longer Chains of Reason
  731.    wt: 1:   Chapter 3 Chains of Reason
  732.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  733.    wt: 1:   Annotated Links to Material Elsehwere
  734.    wt: 1:   Chapter 11 Elementary Instruction
  735.    wt: 1:   Chapter 8 Modern Instruction
  736.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  737.    wt: 1:   Chapter 2 For and Against Mathematics
  738.    wt: 1:   Chapter 1 Introduction
  739.    wt: 1:   Postscript C Consistency as a Tool for Reason
  740.    wt: 1:   Postscript B More on Story Telling and Reason
  741.    wt: 1:   Postscript A Story Telling
  742.    wt: 1:   Chapter 24 Direct and Indirect Reason
  743.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  744.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  745.    wt: 1:   Chapter 7 Longer Chains of Reason
  746.    wt: 1:   Chapter 6 Chains of Reason
  747.    wt: 1:   Chapter 1 Introduction
  748.    wt: 1:   S Adding words to algebra
  749.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  750.    wt: 1:   O On Learning Mathematics and Science
  751.    wt: 1:   J. More on written work and showing skill
  752.    wt: 1:   H Jigsaw puzzles and problem solving
  753.    wt: 1:   B. Domino effect of errors
  754.    wt: 1:   7 Games and Activities for Instruction
  755.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  756.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  757.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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

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

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

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