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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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46 matches:

  1.    wt: 9:   1 Maps Plans Measurement/
  2.    wt: 7:   13 Vectors/
  3.    wt: 7:   11 Parallel Straight Lines and Transversals/
  4.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  5.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  6.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 6:   12 Function Translating and Rescaling/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
  18.    wt: 3:   11 Squares and Square Roots/
  19.    wt: 3:   1 Decimal Place Value/
  20.    wt: 3:   13 Lessons on Limits and Continuity/
  21.    wt: 2:   1 Five Polynomial Operations/
  22.    wt: 2:   10 Examples of Algebraic Reasoning/
  23.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  24.    wt: 2:   A Decimal Counting and Adding Methods/
  25.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  26.    wt: 1:   Mathematics Education Essays/
  27.    wt: 1:   Volume 1A Regles et modeles/
  28.    wt: 1:   3 Quadratics Geometrically/
  29.    wt: 1:   Step 1 Stick diagram and fractions/
  30.    wt: 1:   1 Working With Sets/
  31.    wt: 1:   9 Combinatorics Trees Tables and Products/
  32.    wt: 1:   8 Arithmetic with Signed Numbers/
  33.    wt: 1:   7 Arithmetic and Fractions with Units/
  34.    wt: 1:   6 Fractions and Ratios/
  35.    wt: 1:   5 Integers/
  36.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  37.    wt: 1:   3 Prime Factorization Skills/
  38.    wt: 1:   D Decimal Long Division Methods/
  39.    wt: 1:   C Decimal Multiplication Methods/
  40.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  41.    wt: 1:   2 Arithmetic with Decimals/
  42.    wt: 1:   Arithmetic and Number Theory Skills/
  43.    wt: 1:   5 Lessons on Integration/
  44.    wt: 1:   4 Lessons on Using Derivatives/
  45.    wt: 1:   38 Lessons on Calculating Derivatives/
  46.    wt: 1:   70 Calculus Starter Lessons/

Web Page Search

128 matches:

  1.    wt: 3:   1 quadratics graphing exercises
  2.    wt: 2:   Postscript 2007 01 10
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   10 quadratic exercises
  5.    wt: 2:   2 quadratics graphing in general
  6.    wt: 2:   Quadratics in 10 steps
  7.    wt: 2:   4 Angles on Maps Plans drawn to scale
  8.    wt: 2:   3 Lengths and Areas on Maps and Plans
  9.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  10.    wt: 1:   Appendix 2 primary school Arithmetic 01
  11.    wt: 1:   10 statistics
  12.    wt: 1:   About site lesson plans
  13.    wt: 1:   chapitre 07 01 principle D induction mathematique
  14.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  15.    wt: 1:   chapitre 04 01 Premiere enigme
  16.    wt: 1:   chapitre 01 00 Introduction
  17.    wt: 1:   A Energy Power01
  18.    wt: 1:   1 Conductance Resistance Duality01
  19.    wt: 1:   C Wire Resistance Calculation01
  20.    wt: 1:   A Wire Resistance Qualitative01
  21.    wt: 1:   2 Unlike resistors in parallel01
  22.    wt: 1:   G Series Circuit01
  23.    wt: 1:   B Electromotive force conventional current01
  24.    wt: 1:   10 Ends values for work study instruction
  25.    wt: 1:   Ages 10 to 12 Geometry
  26.    wt: 1:   Ages 10 to 12 Arithmetic
  27.    wt: 1:   Ages 9 to 10
  28.    wt: 1:   12 Function Domain Recognition Exercises
  29.    wt: 1:   10 Interval Notation
  30.    wt: 1:   3 Formula or function graphing exercise
  31.    wt: 1:   A Quadratics Summary
  32.    wt: 1:   9 quadratics physical and further context
  33.    wt: 1:   8 quadratics backward use of various formulas
  34.    wt: 1:   6 quadratics numerical approach
  35.    wt: 1:   5 quadratics completing the square
  36.    wt: 1:   4 quadratics difference of two squares
  37.    wt: 1:   3 quadratics factoring by inspection
  38.    wt: 1:   10 Exponential Growth and Decay Models
  39.    wt: 1:   5 Natural Logarithm Calculator Exercises
  40.    wt: 1:   1 Calculator Starter Exercises
  41.    wt: 1:   10 arctan left inverse of tangent Definition
  42.    wt: 1:   13 Velocity Vectors in Physics
  43.    wt: 1:   10 Parallelogram Addition Method
  44.    wt: 1:   8 Parallel Vectors
  45.    wt: 1:   6 Vectors with Coordinates
  46.    wt: 1:   3 Navigation with Arrows or Vectors
  47.    wt: 1:   4 graphing y=Asin(x c)
  48.    wt: 1:   3 graphing y=f(x c) plus K
  49.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  50.    wt: 1:   1 graphing y=f(x a)
  51.    wt: 1:   12 Straight Lines Graphing mx plus b
  52.    wt: 1:   11 Straight Lines Graphing y=mx
  53.    wt: 1:   10 Straight Lines through Origin Equations More
  54.    wt: 1:   10 Graphs of sines and cosines many periods
  55.    wt: 1:   Unit Circle Development of Trigonometry
  56.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  57.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  58.    wt: 1:   8 Unit Circle Development of Trigonometry
  59.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  60.    wt: 1:   Why Trigonometry the whyslopes view
  61.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  62.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  63.    wt: 1:   Four Simple Exercises
  64.    wt: 1:   10 Midpoint of [a b] and [b a]
  65.    wt: 1:   7 Exercises to test skill and concept mastery
  66.    wt: 1:   10 Pythagorean plane distance formula
  67.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  68.    wt: 1:   10 Dropping a perpendicular to line
  69.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  70.    wt: 1:   6 Figuring with Maps Not to Scale
  71.    wt: 1:   19 Signed Multiples of Vectors
  72.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  73.    wt: 1:   13 Arrows and Vectors in a Plane
  74.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  75.    wt: 1:   10 Real Number Lengths and Signs
  76.    wt: 1:   8 Coordinates for Maps and Planes
  77.    wt: 1:   More Exercises
  78.    wt: 1:   Simple Exercises
  79.    wt: 1:   2 Essentially one exercises three with solution
  80.    wt: 1:   10 One Example
  81.    wt: 1:   10 Volume of Pyramid
  82.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  83.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  84.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  85.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  86.    wt: 1:   4 LCM of 8 and 10 via Prime
  87.    wt: 1:   10 dividing signed numbers
  88.    wt: 1:   3 signed coordinates for maps and planes
  89.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  90.    wt: 1:   10 Integer Multiplication Formulas
  91.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  92.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  93.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  94.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  95.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  96.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  97.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  98.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  99.    wt: 1:   1 Remainder Arithmetic Modulo 10
  100.    wt: 1:   10 video Prime Factorization upto 23 squared
  101.    wt: 1:   10 Division by Five Long and Short Ways
  102.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  103.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  104.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  105.    wt: 1:   016 Numbering Occidental Calendar Days
  106.    wt: 1:   015 School and work day counting tables
  107.    wt: 1:   014 Counting Days with Calendars
  108.    wt: 1:   013 Travel Time Tables
  109.    wt: 1:   012 Division of Time Intervals by Time Intervals
  110.    wt: 1:   011 Division of Time Intervals By Numbers
  111.    wt: 1:   010 Repeated Addition of Time Intervals
  112.    wt: 1:   4 Definite Integrals Evaluation Exercises
  113.    wt: 1:   3 Two Chain Rule Method Exercises
  114.    wt: 1:   2 Indefinite Integrals Exercises
  115.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  116.    wt: 1:   10 Power rule for negative integers
  117.    wt: 1:   10 Three one sided limits with infinite values
  118.    wt: 1:   Chapter 23 Links To Trigonometry
  119.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  120.    wt: 1:   Chapter 11. Graphing Slope versus Position
  121.    wt: 1:   Chapter 10 Slopes and Units
  122.    wt: 1:   Chapter 10 Describing and Changing Calculations
  123.    wt: 1:   Solutions For Arithmetic Exercises
  124.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  125.    wt: 1:   Chapter 10 Transition
  126.    wt: 1:   Chapter 10 Responsibility
  127.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  128.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

819 matches:

  1.    wt: 9:   13 Velocity Vectors in Physics
  2.    wt: 9:   11 Component Method
  3.    wt: 9:   10 Parallelogram Addition Method
  4.    wt: 9:   1 Unsigned Coordinates
  5.    wt: 9:   A Measurement with Ruler Proper Use
  6.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  7.    wt: 9:   2 Measuring Area Directly
  8.    wt: 8:   15 Dot and Cross Product
  9.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  10.    wt: 8:   12 From Applied To Pure Mathematics
  11.    wt: 8:   8 Parallel Vectors
  12.    wt: 8:   6 Vectors with Coordinates
  13.    wt: 8:   3 Navigation with Arrows or Vectors
  14.    wt: 8:   1 graphing y=f(x a)
  15.    wt: 8:   13 Graph of tangent function many periods
  16.    wt: 8:   10 Graphs of sines and cosines many periods
  17.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  18.    wt: 8:   1 Angle Measurement with Degrees
  19.    wt: 7:   10 arctan left inverse of tangent Definition
  20.    wt: 7:   9 motivation for name arcsin
  21.    wt: 7:   8 arcsin left inverse of sine Graph
  22.    wt: 7:   7 arcsin left inverse of sine Definition
  23.    wt: 7:   6 Graph of arccos function
  24.    wt: 7:   5 Swapping Coordinates is a reflection
  25.    wt: 7:   4 possible motivation for term arccos
  26.    wt: 7:   3 Left Inverse of cosine arccos definition
  27.    wt: 7:   2 cosine function more properties
  28.    wt: 7:   1 cosine function properties
  29.    wt: 7:   1 Degrees and Radians Introduction
  30.    wt: 7:   A Global Time and Navigation
  31.    wt: 7:   9 Head to Tail Coordinate View
  32.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  33.    wt: 7:   5 Head To Tail Arrow Addition
  34.    wt: 7:   4 Resultant of a Sum of Movements
  35.    wt: 7:   2 Signed Coordinates
  36.    wt: 7:   Vector and Complex Number Applet
  37.    wt: 7:   4 graphing y=Asin(x c)
  38.    wt: 7:   3 graphing y=f(x c) plus K
  39.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  40.    wt: 7:   Parallel Lines and Parallel Transversals
  41.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  42.    wt: 7:   Triangle Angles Sum To 180 Degrees
  43.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  44.    wt: 7:   Parallel Lines and Interior Angles
  45.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  46.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  47.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  48.    wt: 7:   Straight Lines ASA Intersection Study More
  49.    wt: 7:   Straight Lines ASA Intersection Study
  50.    wt: 7:   Straight Lines Instersection Solving Equations
  51.    wt: 7:   Straight Lines Intersection of
  52.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  53.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  54.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  55.    wt: 7:   32 seven rows of pascals triangle
  56.    wt: 7:   31 basic secant cosecant cotangent trig identities
  57.    wt: 7:   30 unit circle calculation of six trigonometric functions
  58.    wt: 7:   29 secant cosecant and cotangent for acute angles
  59.    wt: 7:   28 Expressing products of sines cosines as sums
  60.    wt: 7:   27 Logarithmic use of products of sines and cosines
  61.    wt: 7:   26 Formulas for products of sines and cosines
  62.    wt: 7:   25 tangent double angle formula Slope connection
  63.    wt: 7:   24 tangent Angle Difference Formula
  64.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  65.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  66.    wt: 7:   21 sine and cosine Half Angle Formulas
  67.    wt: 7:   20 sine and cosine Double Angle Formulas
  68.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  69.    wt: 7:   18 sum of sinusoidal waves as a single wave
  70.    wt: 7:   17G Pythagorean Theorem Converse
  71.    wt: 7:   17F Law of cosines
  72.    wt: 7:   17E Trig Formulas for dot and cross Products
  73.    wt: 7:   17D cis formulas for sine cosines and tangent
  74.    wt: 7:   17C sine and cosine double triple angle formulas
  75.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  76.    wt: 7:   17A The complex number valued trig function cis
  77.    wt: 7:   16 Right Triangle Complementary Angle Relations
  78.    wt: 7:   15 sine cosine Complementary Angle Relations
  79.    wt: 7:   14 cosine even and sine and tangent are odd
  80.    wt: 7:   12 Graph of tangent function for one period
  81.    wt: 7:   11 tangent function undefined when terminal side vertical
  82.    wt: 7:   9 Graphs of sine and cosine over one period
  83.    wt: 7:   8 period of tangent function
  84.    wt: 7:   7 period of sine and cosine
  85.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  86.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  87.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  88.    wt: 7:   Unit Circle Development of Trigonometry
  89.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  90.    wt: 7:   11 sine and cosine double triple angle formulas
  91.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  92.    wt: 7:   1 Rectangular Polar Coordinates Review
  93.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  94.    wt: 7:   Why Trigonometry the whyslopes view
  95.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  96.    wt: 7:   11 Triangle Similarity Missing Side Problem
  97.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  98.    wt: 7:   11 A Partial Summary
  99.    wt: 7:   10 Midpoint of [a b] and [b a]
  100.    wt: 7:   1 Numerical view of lines and their equations
  101.    wt: 7:   11 Triangle Inequality
  102.    wt: 7:   10 Pythagorean plane distance formula
  103.    wt: 7:   1 Cartesian Coordinates sans signs
  104.    wt: 7:   11 Triangle Construction Fails
  105.    wt: 7:   10 Dropping a perpendicular to line
  106.    wt: 7:   1 Initial Concepts and Terms
  107.    wt: 6:   1 quadratics graphing exercises
  108.    wt: 6:   16 cotangent function Definition Graph and Inverse
  109.    wt: 6:   15 cosecant function Definition Graph and Inverse
  110.    wt: 6:   14 secant function Definition Graph and Inverse
  111.    wt: 6:   13 cosecant function Definition Graph and Inverse
  112.    wt: 6:   12 motivation for term arctan
  113.    wt: 6:   11 arctan left inverse of tangent Graph
  114.    wt: 6:   9 Summary Degrees to Radians and back
  115.    wt: 6:   8 Radian Measures of Common Angles
  116.    wt: 6:   7 Radian Measures in special Triangles
  117.    wt: 6:   6 Radian Measure to Degrees
  118.    wt: 6:   5 Degrees to Radian Measure
  119.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  120.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  121.    wt: 6:   2 Radian Measure Numerical Value of one degree
  122.    wt: 6:   12 Straight Lines Graphing mx plus b
  123.    wt: 6:   11 Straight Lines Graphing y=mx
  124.    wt: 6:   10 Straight Lines through Origin Equations More
  125.    wt: 6:   1 Straight Lines Slope Concept
  126.    wt: 6:   17 tangent function angle sum formulas
  127.    wt: 6:   2 Quadrant I reference Angles
  128.    wt: 6:   1 Unit Points Reflections Rotations
  129.    wt: 6:   21 Logarithms Powers and Exponentials
  130.    wt: 6:   19 N th Roots of Unity
  131.    wt: 6:   18 Sixth Roots of Unity
  132.    wt: 6:   17 Cube Roots of unity
  133.    wt: 6:   16 References and Originality Question
  134.    wt: 6:   15 Pythagorean Theorem Converse
  135.    wt: 6:   14 Law of cosines
  136.    wt: 6:   13 Trig Formulas for dot and cross Products
  137.    wt: 6:   12 cis formulas for sine cosines and tangent
  138.    wt: 6:   8 Unit Circle Development of Trigonometry
  139.    wt: 6:   8 Triangles Cascade Problem Solving
  140.    wt: 6:   7 Trignometric Ratios Unit Circle
  141.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  142.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  143.    wt: 6:   3 Trigonometric Ratios sine and cosine
  144.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  145.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  146.    wt: 6:   12 Triangles Similarity More Problems
  147.    wt: 6:   2 Similarity By Design
  148.    wt: 6:   1 Early Concept of Like or Similar Shapes
  149.    wt: 6:   Four Simple Exercises
  150.    wt: 6:   12 Links Lessons elsewhere
  151.    wt: 6:   7 Exercises to test skill and concept mastery
  152.    wt: 6:   13 Pythagorean spatial distance formulas
  153.    wt: 6:   12 Spatial Coordinates
  154.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  155.    wt: 6:   PS A Kite Construction Methods
  156.    wt: 6:   21 Parallelograms
  157.    wt: 6:   19 Right Triangle Similarity
  158.    wt: 6:   18 Triangle Similarity Take 1
  159.    wt: 6:   17 Right Bisectors of Triangle Sides
  160.    wt: 6:   16 Angles Subtended By Chords and Diameters
  161.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  162.    wt: 6:   14 Parallel Lines Postulate
  163.    wt: 6:   13 Angle Side Angle Failure
  164.    wt: 6:   12 Side Angle Side Failure
  165.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  166.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  167.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  168.    wt: 6:   4 LCM of 8 and 10 via Prime
  169.    wt: 6:   10 Three one sided limits with infinite values
  170.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  171.    wt: 5:   C Straight Lines Slope from Coordinates
  172.    wt: 5:   B Straight Line Slope Scaling Properties More
  173.    wt: 5:   A Straight Line Slope Scaling Properties
  174.    wt: 5:   14 Straight Lines Equations General Case
  175.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  176.    wt: 5:   9 Straight Lines through Origin Equations
  177.    wt: 5:   8 Straight Lines Equation for vertical
  178.    wt: 5:   7 Tangent Function is odd on this domain
  179.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  180.    wt: 5:   5 Tangent Function Graph
  181.    wt: 5:   4 Tangent Function Properties
  182.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  183.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  184.    wt: 5:   20 N th Roots of Complex Numbers
  185.    wt: 5:   9 The complex number valued trig function cis
  186.    wt: 5:   7 Second Way to Calculate Products
  187.    wt: 5:   6 Field Properties of Complex Number
  188.    wt: 5:   5 An Easy Proof of the Distributive Law
  189.    wt: 5:   4 Multiplication Properties
  190.    wt: 5:   3 Addition Properties
  191.    wt: 5:   2 Complex Numbers made easier we hope
  192.    wt: 5:   Appetizer A Complex Number Applet
  193.    wt: 5:   9 Similarity of Triangles Usual Criteria
  194.    wt: 5:   8 Similarity of Triangles and Polygons
  195.    wt: 5:   7 Translations Rotations Reflections Dilatations
  196.    wt: 5:   6 Geometric Diagrams in Class
  197.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  198.    wt: 5:   4 Similarity Definition with Coordinate
  199.    wt: 5:   3 Similarity by Design with coordinates
  200.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  201.    wt: 5:   8 Mid Point Formula
  202.    wt: 5:   6 Intersection of lines by solving linear systems
  203.    wt: 5:   5 Algebraic View of Slopes
  204.    wt: 5:   4 Equations for lines three forms
  205.    wt: 5:   3 Slope product for perpendicular lines
  206.    wt: 5:   2 point slope equation for a line
  207.    wt: 5:   What is and is not here
  208.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  209.    wt: 5:   8 Distance Between Points on a Line
  210.    wt: 5:   7 Complex Numbers Appetizer
  211.    wt: 5:   6 Polar Multiplication and Rotation
  212.    wt: 5:   5 Cartesian Addition and Translation
  213.    wt: 5:   4 Polar Coordinates to and from
  214.    wt: 5:   3 Rectangular Coordinates Review
  215.    wt: 5:   2 Cartesian Coordinates with signs
  216.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  217.    wt: 5:   PS H Distributive Law For Complex Numbers
  218.    wt: 5:   PS G Rotation Distributes over Addition
  219.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  220.    wt: 5:   PS E Multiplication with Polar Coordinates
  221.    wt: 5:   PS D Addition with Cartesian Coordinates
  222.    wt: 5:   PS B Parallelogram Construction Methods
  223.    wt: 5:   9 Construction of a right bisector
  224.    wt: 5:   8 Isoceles Triangles
  225.    wt: 5:   7 Angle Side Angle
  226.    wt: 5:   6 Ruler and compass Angle Bisection
  227.    wt: 5:   5 Side Angle Side
  228.    wt: 5:   4 Side Side Side
  229.    wt: 5:   3 Isometry of Triangles Congruence
  230.    wt: 5:   2 Correspondence between Triangles
  231.    wt: 5:   Short Course on Euclidean Geometry
  232.    wt: 5:   About Folder Contents
  233.    wt: 5:   13 GCD from given Prime Factorization
  234.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  235.    wt: 5:   8 GCD from Euclidean Algorithm
  236.    wt: 5:   7 GCD and LCM from prime factorization
  237.    wt: 5:   6 GCD from Prime
  238.    wt: 5:   1 Least Common Multiples LCM Introduction
  239.    wt: 5:   12 GCD 2700 288 via Prime
  240.    wt: 5:   11 Place Value SI Standard International way
  241.    wt: 5:   10 Names for Big Numbers and Powers of Ten Expansion
  242.    wt: 5:   1 Place Value in Three Digit Whole Numbers
  243.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  244.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  245.    wt: 5:   11 Limits at infinity Three Examples
  246.    wt: 5:   1 Numerical introduction
  247.    wt: 4:   10 quadratic exercises
  248.    wt: 4:   2 quadratics graphing in general
  249.    wt: 4:   1 More and Less Than for Counts and Measures
  250.    wt: 4:   5 Square Roots with primes more still
  251.    wt: 4:   4 Square Roots with primes more
  252.    wt: 4:   3 Properties of Square Roots with example
  253.    wt: 4:   2 Square Roots with Prime
  254.    wt: 4:   1 Squares and Square Roots Introduction
  255.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  256.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  257.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  258.    wt: 4:   5 Common Divisors 60 45 via Prime
  259.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  260.    wt: 4:   2 Least Common Multiple LCM intro via list method
  261.    wt: 4:   Area Between Curves Lesson Take 1
  262.    wt: 4:   9 Limits Continuity and Composition
  263.    wt: 3:   Postscript 2007 01 10
  264.    wt: 3:   Maps Plans Drawings
  265.    wt: 3:   cultivating intelligence
  266.    wt: 3:   1 Conductance Resistance Duality01
  267.    wt: 3:   12 Function Domain Recognition Exercises
  268.    wt: 3:   9 quadratics physical and further context
  269.    wt: 3:   8 quadratics backward use of various formulas
  270.    wt: 3:   6 quadratics numerical approach
  271.    wt: 3:   5 quadratics completing the square
  272.    wt: 3:   4 quadratics difference of two squares
  273.    wt: 3:   3 quadratics factoring by inspection
  274.    wt: 3:   Quadratics in 10 steps
  275.    wt: 3:   1 Calculator Starter Exercises
  276.    wt: 3:   1 Polynomials Distributive Law
  277.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  278.    wt: 3:   10 One Example
  279.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  280.    wt: 3:   11 What are real lengths and numbers
  281.    wt: 3:   10 dividing signed numbers
  282.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  283.    wt: 3:   11 Adding Integers Formulas and Examples
  284.    wt: 3:   10 Integer Multiplication Formulas
  285.    wt: 3:   1 Integers as Coordinates
  286.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  287.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  288.    wt: 3:   11 Efficient Square Rule Use
  289.    wt: 3:   10 video Prime Factorization upto 23 squared
  290.    wt: 3:   1 video how Products are bigger than factor
  291.    wt: 3:   11 Another Single Digit Divisor Example
  292.    wt: 3:   10 Division by Five Long and Short Ways
  293.    wt: 3:   1 Divsion Physical Examples
  294.    wt: 3:   1 Why 3 times 5 gives 15
  295.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  296.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  297.    wt: 3:   1. Explaining Addition Table
  298.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  299.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  300.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  301.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  302.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  303.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  304.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  305.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  306.    wt: 3:   Example 2 volume of a cone
  307.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  308.    wt: 3:   Example 2
  309.    wt: 3:   Area Between Curves Lesson Take 2
  310.    wt: 3:   1 Two cubic sketching exercises with 1st derivative
  311.    wt: 3:   8 Four Animated Examples
  312.    wt: 3:   7 Evaluation by immediate or delayed substitution
  313.    wt: 3:   6 Continuity at a point
  314.    wt: 3:   5 Jumps and absence of unlimited error control
  315.    wt: 3:   4 Numerical properties
  316.    wt: 3:   3 Decimal insights for limits continuity convergence
  317.    wt: 3:   2 Algebraic codification
  318.    wt: 2:   Skills Chapter 1 Arithmetic
  319.    wt: 2:   10 statistics
  320.    wt: 2:   which way to go
  321.    wt: 2:   activities for students
  322.    wt: 2:   About site lesson plans
  323.    wt: 2:   key notes and themes
  324.    wt: 2:   Mathematics Education Professors
  325.    wt: 2:   grouping students according to ability
  326.    wt: 2:   what should be learnt and When
  327.    wt: 2:   five decades make a difference
  328.    wt: 2:   Secondary Three Mathematics
  329.    wt: 2:   Secondary Two Mathematics
  330.    wt: 2:   05 13 OldSiteEntrancePage
  331.    wt: 2:   04 29 New Mathematics Curriculum
  332.    wt: 2:   04 25 when to stop or suspend mathemat
  333.    wt: 2:   02 21 words for teachers
  334.    wt: 2:   02 20 mathematics education references
  335.    wt: 2:   three aims for mathematics students
  336.    wt: 2:   standards for course material
  337.    wt: 2:   Operational Viewpoint to Value
  338.    wt: 2:   formal or informal peer review
  339.    wt: 2:   Theory of Knowledge
  340.    wt: 2:   mathematics instruction in general
  341.    wt: 2:   Education in mathematics science and technology
  342.    wt: 2:   Different Kinds of Reasoning in maths
  343.    wt: 2:   three kinds of reason in mathematics
  344.    wt: 2:   Four ways to improve education reform
  345.    wt: 2:   chapitre 07 01 principle D induction mathematique
  346.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  347.    wt: 2:   chapitre 04 01 Premiere enigme
  348.    wt: 2:   chapitre 01 00 Introduction
  349.    wt: 2:   problemes responses
  350.    wt: 2:   A Energy Power01
  351.    wt: 2:   C Wire Resistance Calculation01
  352.    wt: 2:   A Wire Resistance Qualitative01
  353.    wt: 2:   2 Unlike resistors in parallel01
  354.    wt: 2:   1 Like resistors in series
  355.    wt: 2:   11 Help and Defend Your Child or Teens Education
  356.    wt: 2:   10 Ends values for work study instruction
  357.    wt: 2:   1 Speaking Skills
  358.    wt: 2:   Ages 10 to 12 Geometry
  359.    wt: 2:   Ages 10 to 12 Arithmetic
  360.    wt: 2:   19 Horizontal line rule and method
  361.    wt: 2:   18 Vertical Line Rule and Method
  362.    wt: 2:   17 Function maxima minima and their location
  363.    wt: 2:   16 Increasing or decreasing on intervals
  364.    wt: 2:   15 Sign analysis of functions
  365.    wt: 2:   14 Surjections Injections Bijections
  366.    wt: 2:   13 From one to one to many to one
  367.    wt: 2:   11 Function Domain Range Source and Targets
  368.    wt: 2:   10 Interval Notation
  369.    wt: 2:   1 Geometric Introduction of Function Notation
  370.    wt: 2:   A Quadratics Summary
  371.    wt: 2:   7 quadratic formulla derivation
  372.    wt: 2:   11 Growth and Decay in Biology
  373.    wt: 2:   10 Exponential Growth and Decay Models
  374.    wt: 2:   8 Notes for instructors or tutors
  375.    wt: 2:   7 Links Lessons Elsewhere
  376.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  377.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  378.    wt: 2:   4 Polynomials Long division linear divisor
  379.    wt: 2:   3 Polynomials Multiplication Addition
  380.    wt: 2:   2 Column Multiplication Method
  381.    wt: 2:   19 Signed Multiples of Vectors
  382.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  383.    wt: 2:   13 Arrows and Vectors in a Plane
  384.    wt: 2:   1 Fractions with Finite Decimal Expansions
  385.    wt: 2:   1 The Counting Origins of Numbers
  386.    wt: 2:   5 Areas of Rectangles Revisited
  387.    wt: 2:   4 Fraction Operations Axiomatic Development
  388.    wt: 2:   3 Inequalities Algebraically
  389.    wt: 2:   2 Fraction Operations Physical Development
  390.    wt: 2:   1 What is Proportionality
  391.    wt: 2:   8 Coordinates for Maps and Planes
  392.    wt: 2:   1 Formulas Dependence and Function Notation
  393.    wt: 2:   1 GE Substitution four examples
  394.    wt: 2:   1 Essentially One Unknown
  395.    wt: 2:   1 Proper Equal Sign Usage
  396.    wt: 2:   Skill Development Notes
  397.    wt: 2:   10 Volume of Pyramid
  398.    wt: 2:   1 Finite Sets
  399.    wt: 2:   1 Three Skills For Algebra
  400.    wt: 2:   4 Greater More Less Than Signs in General
  401.    wt: 2:   3 Comparison of Negative Numbers
  402.    wt: 2:   2 More and Less Than with Unlike Signs
  403.    wt: 2:   3 signed coordinates for maps and planes
  404.    wt: 2:   7 Converting or Changing Units
  405.    wt: 2:   6 Simplification of Fractions with Units
  406.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  407.    wt: 2:   4 Fractions with Units
  408.    wt: 2:   3 Multiplying Units and Numbers
  409.    wt: 2:   2 Equality and Units
  410.    wt: 2:   1 Addition and Subtraction with Units
  411.    wt: 2:   17 Efficient Ways to Add and Subtract
  412.    wt: 2:   16 Addition Subtraction Comparision Compared
  413.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  414.    wt: 2:   14 Adding and Subtracting with Like Denominators
  415.    wt: 2:   13 Fraction Comparison Algebraic View
  416.    wt: 2:   12 Fraction Comparison
  417.    wt: 2:   11 Simplification an Algebraic View
  418.    wt: 2:   9 Improper Fractions and Mixed Numbers
  419.    wt: 2:   8 Numerals Fractionals Quantals Take II
  420.    wt: 2:   7 Numerals Fractionals Quantals
  421.    wt: 2:   6 Multiplication of Mixed Numbers
  422.    wt: 2:   6 Multiplication Algebraically Take II
  423.    wt: 2:   5 Equivalent Fractions
  424.    wt: 2:   4 Fraction Multiplication
  425.    wt: 2:   3 Unit fraction of a fraction
  426.    wt: 2:   2 Unit Fraction Multiplication
  427.    wt: 2:   1 What is a fraction Take II
  428.    wt: 2:   1 What is a fraction
  429.    wt: 2:   13 Subtraction with Additive Inverse
  430.    wt: 2:   12 Adding Integers More Examples
  431.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  432.    wt: 2:   26 Divisibility by 2 3 5 Example
  433.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  434.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  435.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  436.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  437.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  438.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  439.    wt: 2:   1 Remainder Arithmetic Modulo 10
  440.    wt: 2:   19 video Prime Factorization Unique
  441.    wt: 2:   18 video Count Factors given Prime Factorization
  442.    wt: 2:   17 Identify and Count Factors using Primes
  443.    wt: 2:   16 video Factors of 980 using prime
  444.    wt: 2:   15 video Factors of 20 using Prime Factorization
  445.    wt: 2:   14 video Factors of 24 Take II
  446.    wt: 2:   13 video Factors of 24 using prime
  447.    wt: 2:   12 LCD GCD and LCM using Primes
  448.    wt: 2:   12 Why Long Division Works Take III
  449.    wt: 2:   D Decimal Multiplication Methods Derived
  450.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  451.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  452.    wt: 2:   Video Power Notation in Decimal Expansion
  453.    wt: 2:   Subtraction with J Conversions Example
  454.    wt: 2:   Subtraction Another Video Lesson
  455.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  456.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  457.    wt: 2:   8 What skills and work habits to require
  458.    wt: 2:   7 Adding decimal fractions using decimal point
  459.    wt: 2:   6. Counting and adding units and mixed units
  460.    wt: 2:   5. How to add decimals C. Examples
  461.    wt: 2:   4. How to add with decimals B with conversions
  462.    wt: 2:   3. How to add with decimals A sans conversions
  463.    wt: 2:   2 Decimal Counting Practices
  464.    wt: 2:   016 Numbering Occidental Calendar Days
  465.    wt: 2:   015 School and work day counting tables
  466.    wt: 2:   014 Counting Days with Calendars
  467.    wt: 2:   013 Travel Time Tables
  468.    wt: 2:   012 Division of Time Intervals by Time Intervals
  469.    wt: 2:   011 Division of Time Intervals By Numbers
  470.    wt: 2:   010 Repeated Addition of Time Intervals
  471.    wt: 2:   Example 1 volume of a pyramid
  472.    wt: 2:   Volume of Solid by Cross Sections Lesson
  473.    wt: 2:   Example 1. Area Between x and x squared
  474.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  475.    wt: 2:   Example 4 with x function of y
  476.    wt: 2:   Example 3
  477.    wt: 2:   Example 1
  478.    wt: 2:   Summary
  479.    wt: 2:   A Related Material in Volume 3
  480.    wt: 2:   4 Definite Integrals Evaluation Exercises
  481.    wt: 2:   3 Two Chain Rule Method Exercises
  482.    wt: 2:   2 Indefinite Integrals Exercises
  483.    wt: 2:   1 Chain Rule in Reverse Integration Method
  484.    wt: 2:   38 Formulas and derivatives for powers and roots
  485.    wt: 2:   29 Chain Rule Optional Reading
  486.    wt: 2:   19 Chain Rule for linear functions
  487.    wt: 2:   18 Chain Rule Introduction
  488.    wt: 2:   17 Derivatives of quotients of sine and cosine
  489.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  490.    wt: 2:   15 sine and cosine derivatives 3rd step
  491.    wt: 2:   14 sine and cosine derivatives 2nd step
  492.    wt: 2:   13 sine and cosine derivatives 1st step
  493.    wt: 2:   12 Quotient rule examples
  494.    wt: 2:   11 Quotient rule
  495.    wt: 2:   10 Power rule for negative integers
  496.    wt: 2:   3 Motivation for Limit Definition Take 2
  497.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  498.    wt: 2:   Chapter 11. Graphing Slope versus Position
  499.    wt: 2:   Chapter 10 Slopes and Units
  500.    wt: 2:   Chapter 10 Describing and Changing Calculations
  501.    wt: 2:   Solutions For Arithmetic Exercises
  502.    wt: 2:   Chapter 10 Transition
  503.    wt: 2:   Chapter 10 Responsibility
  504.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  505.    wt: 1:   Appendix 2 primary school Arithmetic 01
  506.    wt: 1:   Skills Chapter 5 Calculus
  507.    wt: 1:   Skills Chapter 4 Logic
  508.    wt: 1:   Ramblings Extrinsic numbers theory
  509.    wt: 1:   Ramblings Introduction Algebra Essay
  510.    wt: 1:   Skills Chapter 3 Algebra
  511.    wt: 1:   Skills Chapter 2 Geometry
  512.    wt: 1:   Skills Chapter 0 Introduction
  513.    wt: 1:   11 pure mathematics
  514.    wt: 1:   1 arithmetic with unsigned numbers
  515.    wt: 1:   why bother
  516.    wt: 1:   website reviews
  517.    wt: 1:   three goals to set for students
  518.    wt: 1:   Teach the teachers plus goals
  519.    wt: 1:   permissions for teachers
  520.    wt: 1:   Math Ed if it must be short make it lean effective
  521.    wt: 1:   Applied Maths Program14092009 POMME variant
  522.    wt: 1:   links Education Resources online
  523.    wt: 1:   site origins
  524.    wt: 1:   site eurekas
  525.    wt: 1:   teacher certification
  526.    wt: 1:   modern education
  527.    wt: 1:   learning takes time
  528.    wt: 1:   mathematics in context
  529.    wt: 1:   Education Reform Inconsistencies
  530.    wt: 1:   how letters appear
  531.    wt: 1:   Secondary One Mathematics
  532.    wt: 1:   talk the algebra talk
  533.    wt: 1:   three difficulties
  534.    wt: 1:   teaching tips
  535.    wt: 1:   What to Tell Students
  536.    wt: 1:   mathematics curriculum shifts
  537.    wt: 1:   geometric implications for algebra
  538.    wt: 1:   teaching tutoring algebraic reason
  539.    wt: 1:   Lessening Algebra Difficulties
  540.    wt: 1:   the trouble with algebra
  541.    wt: 1:   three goals for Mathematics Education
  542.    wt: 1:   How to be a better instructor
  543.    wt: 1:   Motivation and Context Problem
  544.    wt: 1:   need for a mixed mathematics curriculum
  545.    wt: 1:   Leaner mathematics curriculum
  546.    wt: 1:   Prequel In For A Penny In For A Pound
  547.    wt: 1:   education an empirical art
  548.    wt: 1:   fairness and inductive principles for instruction
  549.    wt: 1:   words for mathematics instructor
  550.    wt: 1:   chapitre 12 00 les iles et division
  551.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  552.    wt: 1:   chapitre 06 00 Chaines de la raison
  553.    wt: 1:   chapitre 05 00 Deception
  554.    wt: 1:   chapitre 04 09 Regles accidentelles
  555.    wt: 1:   chapitre 04 08 Limitations et benefices
  556.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  557.    wt: 1:   chapitre 04 06 engagements
  558.    wt: 1:   chapitre 04 05 Implication versus suggestion
  559.    wt: 1:   chapitre 04 04 Parlons de la logique
  560.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  561.    wt: 1:   chapitre 04 02 Deuxieme enigme
  562.    wt: 1:   chapitre 04 00 Les regles d implication
  563.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  564.    wt: 1:   chapitre 02 00 La Communication des idees
  565.    wt: 1:   problemes algebre et arithmetique
  566.    wt: 1:   1 Energy Power Heat06
  567.    wt: 1:   F Wire Resistance Calculation04
  568.    wt: 1:   E Wire Resistance Calculation03
  569.    wt: 1:   D Wire Resistance Calculation02
  570.    wt: 1:   B Wire Resistance Qualitative02
  571.    wt: 1:   3 Like resistors in parallel
  572.    wt: 1:   G Series Circuit01
  573.    wt: 1:   B Electromotive force conventional current01
  574.    wt: 1:   A Circuit Elements
  575.    wt: 1:   Home Tutoring and Home Schooling
  576.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  577.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  578.    wt: 1:   18 Primary School Mathematics
  579.    wt: 1:   17 Math Booklets for children and young teenagers
  580.    wt: 1:   16 Secondary Mathematics Tips
  581.    wt: 1:   15 Counting For Parents
  582.    wt: 1:   14 Multiplication and Times Tables
  583.    wt: 1:   13 Addition and Addition Tables
  584.    wt: 1:   12 Goals and Objectives For Mathematics
  585.    wt: 1:   Ages 9 to 10
  586.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  587.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  588.    wt: 1:   sign monoticity analysis example 1
  589.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  590.    wt: 1:   3 Formula or function graphing exercise
  591.    wt: 1:   5 Natural Logarithm Calculator Exercises
  592.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  593.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  594.    wt: 1:   15 Head to Tails in place Addition Associative
  595.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  596.    wt: 1:   12 Real Numbers Line Signed Coordinates
  597.    wt: 1:   11 Signed Number Addition and Addition Properties
  598.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  599.    wt: 1:   9 Division with Digits after Decimal Point
  600.    wt: 1:   8 Division and Mulplication of Compound Fractions
  601.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  602.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  603.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  604.    wt: 1:   4 Location of Point in Decimal Addition
  605.    wt: 1:   3 Location of Point in Decimal Multiplication
  606.    wt: 1:   2 Counting Digits in Decimal Multiplication
  607.    wt: 1:   1 Changing Calculations
  608.    wt: 1:   1 Equivalent Computation Rules
  609.    wt: 1:   1 Real Numbers Comparison
  610.    wt: 1:   16 Real Numbers Comparison
  611.    wt: 1:   15 Real Number Division
  612.    wt: 1:   14 Real Number Multiplication
  613.    wt: 1:   13 Real Number Subtraction
  614.    wt: 1:   12 Real Number Additive Inverses or Negatives
  615.    wt: 1:   11 Real Number Addition
  616.    wt: 1:   10 Real Number Lengths and Signs
  617.    wt: 1:   9 Coordinates for Regions in Space
  618.    wt: 1:   7 Real Numbers as Line Cordinates
  619.    wt: 1:   6 Unsigned Real Numbers
  620.    wt: 1:   1 Whole and Natural Numbers
  621.    wt: 1:   5 Independent versus Dependent Variables
  622.    wt: 1:   4 Changing Letters
  623.    wt: 1:   3 Geometric Formulas and Function Notation
  624.    wt: 1:   2 Computation Rules Evaluation
  625.    wt: 1:   More Exercises
  626.    wt: 1:   Simple Exercises
  627.    wt: 1:   2 Essentially one exercises three with solution
  628.    wt: 1:   9 Three Examples
  629.    wt: 1:   8 One Example
  630.    wt: 1:   7 Two Examples
  631.    wt: 1:   6 Three Examples
  632.    wt: 1:   5 Three Examples
  633.    wt: 1:   4 Two Examples
  634.    wt: 1:   3 Two Examples
  635.    wt: 1:   2 Three Examples
  636.    wt: 1:   Using Letters for Physical Quantities
  637.    wt: 1:   13 Naming Identifying Formulas with Words
  638.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  639.    wt: 1:   11 Volume of Sphere
  640.    wt: 1:   1 Written work formats for developing and showing skill
  641.    wt: 1:   9 Sets in Probability and Statistics
  642.    wt: 1:   8 Sets of Numbers
  643.    wt: 1:   7 Cautious or Safe Set Construction
  644.    wt: 1:   6 Power Set Notation
  645.    wt: 1:   5 Product Builder Notation
  646.    wt: 1:   4 Subset Builder Notation
  647.    wt: 1:   3 Counting with Sets etc
  648.    wt: 1:   2 Venn Diagrams
  649.    wt: 1:   6 Three Notions of What is a Variable
  650.    wt: 1:   5 Talking about Numbers and Quantities
  651.    wt: 1:   4 A Brief Story of numbers and algebra
  652.    wt: 1:   3 Adding Words To Arithmetic
  653.    wt: 1:   2 What is a Variable
  654.    wt: 1:   arithmetic videos Real Player Format
  655.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  656.    wt: 1:   4 Counting with Trees Product Rule Take I
  657.    wt: 1:   3 Counting with Tables and Trees II
  658.    wt: 1:   2 Counting with Tables and Trees I
  659.    wt: 1:   1 Counting and Counting Methods I
  660.    wt: 1:   9 subtracting signed numbers
  661.    wt: 1:   8 multiplying signed numbers
  662.    wt: 1:   7 negative and additive inverse
  663.    wt: 1:   6 adding signed numbers
  664.    wt: 1:   5 lengths and signs of numbers
  665.    wt: 1:   4 signed coordinates for regions in space
  666.    wt: 1:   2 signed and unsigned numbers as coordinates
  667.    wt: 1:   D Three Term Ratios
  668.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  669.    wt: 1:   B Fractions and Two Term Ratios
  670.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  671.    wt: 1:   22 Complex Compound Fractions
  672.    wt: 1:   21 Working With Signs
  673.    wt: 1:   21 Reciprocals for Fractions and Wholes
  674.    wt: 1:   20 Dividing Fractions the Why
  675.    wt: 1:   19 Dividing Fractions How TO
  676.    wt: 1:   18 Efficient Ways to Multiply
  677.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  678.    wt: 1:   D Remainders Modulo 11 Pair Rule
  679.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  680.    wt: 1:   B Integer Long Division Multiple Choices
  681.    wt: 1:   A Associative Law Theorectical Note
  682.    wt: 1:   9 Multiplying Integers
  683.    wt: 1:   8 Multiplication by Signed Numbers Integers
  684.    wt: 1:   7 Multiplication by Signs
  685.    wt: 1:   6 Multiplication by Natural Numbers
  686.    wt: 1:   5 Zero Movement and Additive Inverses
  687.    wt: 1:   4 Adding Movements wiht opposite directions
  688.    wt: 1:   3 Adding Movements with same direction
  689.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  690.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  691.    wt: 1:   23 Remainder Arithmetic Modulo 2
  692.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  693.    wt: 1:   21 Remainder Arithmetic Modulo 3
  694.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  695.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  696.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  697.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  698.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  699.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  700.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  701.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  702.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  703.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  704.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  705.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  706.    wt: 1:   5 Remainder Arithmetic Modulo 5
  707.    wt: 1:   20 Uniqueness of Prime Factorization
  708.    wt: 1:   9 video Prime Factorization upto 19 squared
  709.    wt: 1:   8 video Prime Factorization upto 19
  710.    wt: 1:   7 Calculator Usage Notes and Cautions
  711.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  712.    wt: 1:   5 Prime Factorization and a Square Rule
  713.    wt: 1:   4 video Prime Factorization Introduction
  714.    wt: 1:   3 video Primes and Composites from 9 times table
  715.    wt: 1:   2 Prime and Composites less than 16
  716.    wt: 1:   Long Division Backwards more
  717.    wt: 1:   Long Division Backward
  718.    wt: 1:   Division with Counts and Length
  719.    wt: 1:   Long Division forwards and backwards Example 3
  720.    wt: 1:   Long Division forwards and backwards Example 2
  721.    wt: 1:   Long Division forwards and backwards Example 1
  722.    wt: 1:   9 Why Long Division Works Take II
  723.    wt: 1:   8 Correcting the Mistake
  724.    wt: 1:   7 Long Divison Mistake Catching
  725.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  726.    wt: 1:   5 Long Division Include Zeroes or not
  727.    wt: 1:   4 Division with 2 Digit Divsors
  728.    wt: 1:   3 Division Single Digit Divisor Example
  729.    wt: 1:   2 Division with Single Digit Divisors
  730.    wt: 1:   C Counting Areas with Powers of Ten
  731.    wt: 1:   B Powers of Ten
  732.    wt: 1:   A Elementary Basis for Multiplication Methods
  733.    wt: 1:   6 Multiplication Commutes Order Not Important
  734.    wt: 1:   5 Decimal Fraction Multiplication
  735.    wt: 1:   4 Two and Three Digit Multipliers
  736.    wt: 1:   3 More One Digit Multipliers
  737.    wt: 1:   2 One Digit Multipliers
  738.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  739.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  740.    wt: 1:   9 22 Minute Subtraction Review Video
  741.    wt: 1:   8 Subtraction with Units of Measure
  742.    wt: 1:   5 A Tip for Efficent Subtraction
  743.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  744.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  745.    wt: 1:   2 Subtraction Easy Case Examples
  746.    wt: 1:   Quick history of numbers and algebra
  747.    wt: 1:   Exact Arithmetic Wholes and Fractions
  748.    wt: 1:   Formula Evaluation how to show work
  749.    wt: 1:   Expression Evaluation how to show work
  750.    wt: 1:   The 20 Times Table
  751.    wt: 1:   The 12 Times Table Visually
  752.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  753.    wt: 1:   About folder contents
  754.    wt: 1:   1 Intro of Kids To Time Date Skills
  755.    wt: 1:   5 Area Under Curve Exercise
  756.    wt: 1:   A Related lessons in Volume 3
  757.    wt: 1:   4 Second derivative test exercise example
  758.    wt: 1:   3 Second derivative test
  759.    wt: 1:   2 Second derivative test prequel
  760.    wt: 1:   A Chain Rule Real Player video examples
  761.    wt: 1:   36 Cube root derivative animated
  762.    wt: 1:   34 Derivative of exponential function
  763.    wt: 1:   33 Chain Rule Real Player video examples
  764.    wt: 1:   31 Derivatives of inverse functions
  765.    wt: 1:   30Chain Rule A Proof
  766.    wt: 1:   28 Chain Rule Preparation for a Proof
  767.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  768.    wt: 1:   26 Chain Rule Recognising outer inner functions
  769.    wt: 1:   25 Chain Rule Animated Examples Continued
  770.    wt: 1:   24 Chain Rule Animated Examples
  771.    wt: 1:   23 Chain Rule in general
  772.    wt: 1:   22 Chain Rule for polynomials
  773.    wt: 1:   21 Chain Rule for powers
  774.    wt: 1:   20 Chain Rule for Pulley Systems
  775.    wt: 1:   9 Reciprocal rule
  776.    wt: 1:   8 Differentiation of polynomials
  777.    wt: 1:   7 Animated Differentiation Examples
  778.    wt: 1:   6 Power rule from product rule
  779.    wt: 1:   5 Product Rule
  780.    wt: 1:   4 Sum Rule
  781.    wt: 1:   2 Motivation for Limit Definition Take 1
  782.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  783.    wt: 1:   F.3 Intermediate Value Theorem
  784.    wt: 1:   F.2 Closed Range Theorem
  785.    wt: 1:   PostScript For and Against Decimal Perspectives
  786.    wt: 1:   A1. Introduction
  787.    wt: 1:   Chapter 23 Links To Trigonometry
  788.    wt: 1:   Chapter 21 Arrow Addition
  789.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  790.    wt: 1:   Chapter 1.Introduction
  791.    wt: 1:   Foreword
  792.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  793.    wt: 1:   Chapter 31 Direct and Indirect Reason
  794.    wt: 1:   Chapter 21. Third Reading Guide
  795.    wt: 1:   Chapter 11. Why Shorthand
  796.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  797.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  798.    wt: 1:   Chapter 11 Elementary Instruction
  799.    wt: 1:   Chapter 1 Introduction
  800.    wt: 1:   Chapter 21 Occurrence Tables
  801.    wt: 1:   Chapter 11 Accidental Patterns
  802.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  803.    wt: 1:   Chapter 1 Introduction
  804.    wt: 1:   N Improving Marks on Tests and Finals
  805.    wt: 1:   J. More on written work and showing skill
  806.    wt: 1:   A. Skill has to be seen to believed
  807.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  808.    wt: 1:   Chapter 1 Arithmetic
  809.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  810.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  811.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  812.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  813.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  814.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  815.    wt: 11:   4 Angles on Maps Plans drawn to scale
  816.    wt: 11:   3 Lengths and Areas on Maps and Plans
  817.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  818.    wt: 10:   6 Figuring with Maps Not to Scale
  819.    wt: 10:   1 Length Measurement
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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