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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  1.    wt: 8:   1 Maps Plans Measurement/
  2.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 7:   2 Euclidean Geometry Constructions Theory extras/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   8 Unit Circle Trigonometry/
  7.    wt: 6:   6 Trigonometry first steps/
  8.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  10.    wt: 5:   12 Function Translating and Rescaling/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   10 Examples of Algebraic Reasoning/
  18.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  19.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  20.    wt: 3:   A Decimal Counting and Adding Methods/
  21.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 2:   Step 1 Stick diagram and fractions/
  23.    wt: 2:   2 Formula Forward Use Evaluation/
  24.    wt: 2:   D Decimal Long Division Methods/
  25.    wt: 2:   C Decimal Multiplication Methods/
  26.    wt: 2:   2 Arithmetic with Decimals/
  27.    wt: 2:   38 Lessons on Calculating Derivatives/
  28.    wt: 2:   13 Lessons on Limits and Continuity/
  29.    wt: 1:   Mathematics Education Essays/
  30.    wt: 1:   Volume 1A Regles et modeles/
  31.    wt: 1:   Mathematics Skills Year by Year/
  32.    wt: 1:   3 Quadratics Geometrically/
  33.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  34.    wt: 1:   1 Five Polynomial Operations/
  35.    wt: 1:   B Real Numbers Extrinsic Development/
  36.    wt: 1:   A Origins of Counting and Figuring Methods/
  37.    wt: 1:   9 Proportionality Backwards and Forwards/
  38.    wt: 1:   8 Unifying Theme For Algebra/
  39.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  40.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  41.    wt: 1:   5 Real Numbers/
  42.    wt: 1:   4 Computation Rules and Function Notation/
  43.    wt: 1:   Step 4 Gaussian Elimination/
  44.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  45.    wt: 1:   3 Solving Linear Equations/
  46.    wt: 1:   1 Working With Sets/
  47.    wt: 1:   Algebra Starter Lessons/
  48.    wt: 1:   11 Squares and Square Roots/
  49.    wt: 1:   1 Decimal Place Value/
  50.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  51.    wt: 1:   5 Lessons on Integration/
  52.    wt: 1:   4 Lessons on Using Derivatives/
  53.    wt: 1:   70 Calculus Starter Lessons/
  54.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  55.    wt: 1:   Volume 1A Pattern Based Reason/
  56.    wt: 1:   Volume 1 Elements of Reason/

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115 matches:

  1.    wt: 4:   3 quadratics factoring by inspection
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   Quadratics in 10 steps
  4.    wt: 2:   4 Angles on Maps Plans drawn to scale
  5.    wt: 2:   3 Lengths and Areas on Maps and Plans
  6.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  7.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  8.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  9.    wt: 2:   10 Division by Five Long and Short Ways
  10.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  11.    wt: 1:   10 statistics
  12.    wt: 1:   About site lesson plans
  13.    wt: 1:   Postscript 2007 01 10
  14.    wt: 1:   02 21 words for teachers
  15.    wt: 1:   02 20 mathematics education references
  16.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  17.    wt: 1:   chapitre 04 02 Deuxieme enigme
  18.    wt: 1:   chapitre 02 00 La Communication des idees
  19.    wt: 1:   B Energy Power02
  20.    wt: 1:   2 Conductance Resistance Duality02
  21.    wt: 1:   D Wire Resistance Calculation02
  22.    wt: 1:   B Wire Resistance Qualitative02
  23.    wt: 1:   H Series Circuit02
  24.    wt: 1:   C Electromotive force conventional current02
  25.    wt: 1:   10 Ends values for work study instruction
  26.    wt: 1:   9 Streaming by Student Cooperation
  27.    wt: 1:   Ages 10 to 12 Geometry
  28.    wt: 1:   Ages 10 to 12 Arithmetic
  29.    wt: 1:   Ages 9 to 10
  30.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  31.    wt: 1:   10 Interval Notation
  32.    wt: 1:   A Quadratics Summary
  33.    wt: 1:   10 quadratic exercises
  34.    wt: 1:   9 quadratics physical and further context
  35.    wt: 1:   8 quadratics backward use of various formulas
  36.    wt: 1:   6 quadratics numerical approach
  37.    wt: 1:   5 quadratics completing the square
  38.    wt: 1:   4 quadratics difference of two squares
  39.    wt: 1:   2 quadratics graphing in general
  40.    wt: 1:   1 quadratics graphing exercises
  41.    wt: 1:   10 Exponential Growth and Decay Models
  42.    wt: 1:   10 arctan left inverse of tangent Definition
  43.    wt: 1:   13 Velocity Vectors in Physics
  44.    wt: 1:   10 Parallelogram Addition Method
  45.    wt: 1:   8 Parallel Vectors
  46.    wt: 1:   6 Vectors with Coordinates
  47.    wt: 1:   3 Navigation with Arrows or Vectors
  48.    wt: 1:   10 Straight Lines through Origin Equations More
  49.    wt: 1:   10 Graphs of sines and cosines many periods
  50.    wt: 1:   Unit Circle Development of Trigonometry
  51.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  52.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  53.    wt: 1:   8 Unit Circle Development of Trigonometry
  54.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  55.    wt: 1:   Why Trigonometry the whyslopes view
  56.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  57.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  58.    wt: 1:   3 Similarity by Design with coordinates
  59.    wt: 1:   2 Similarity By Design
  60.    wt: 1:   10 Midpoint of [a b] and [b a]
  61.    wt: 1:   6 Intersection of lines by solving linear systems
  62.    wt: 1:   10 Pythagorean plane distance formula
  63.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  64.    wt: 1:   16 Angles Subtended By Chords and Diameters
  65.    wt: 1:   10 Dropping a perpendicular to line
  66.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  67.    wt: 1:   6 Figuring with Maps Not to Scale
  68.    wt: 1:   19 Signed Multiples of Vectors
  69.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  70.    wt: 1:   13 Arrows and Vectors in a Plane
  71.    wt: 1:   10 Real Number Lengths and Signs
  72.    wt: 1:   8 Coordinates for Maps and Planes
  73.    wt: 1:   10 One Example
  74.    wt: 1:   10 Volume of Pyramid
  75.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  76.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  77.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  78.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  79.    wt: 1:   4 LCM of 8 and 10 via Prime
  80.    wt: 1:   10 dividing signed numbers
  81.    wt: 1:   3 signed coordinates for maps and planes
  82.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  83.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  84.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  85.    wt: 1:   10 Integer Multiplication Formulas
  86.    wt: 1:   8 Multiplication by Signed Numbers Integers
  87.    wt: 1:   7 Multiplication by Signs
  88.    wt: 1:   6 Multiplication by Natural Numbers
  89.    wt: 1:   26 Divisibility by 2 3 5 Example
  90.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  91.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  92.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  93.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  94.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  95.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  96.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  97.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  98.    wt: 1:   1 Remainder Arithmetic Modulo 10
  99.    wt: 1:   10 video Prime Factorization upto 23 squared
  100.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  101.    wt: 1:   012 Division of Time Intervals by Time Intervals
  102.    wt: 1:   011 Division of Time Intervals By Numbers
  103.    wt: 1:   010 Repeated Addition of Time Intervals
  104.    wt: 1:   Volume of Solid by Cross Sections Lesson
  105.    wt: 1:   10 Power rule for negative integers
  106.    wt: 1:   10 Three one sided limits with infinite values
  107.    wt: 1:   7 Evaluation by immediate or delayed substitution
  108.    wt: 1:   Chapter 23 Links To Trigonometry
  109.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  110.    wt: 1:   Chapter 10 Slopes and Units
  111.    wt: 1:   Chapter 10 Describing and Changing Calculations
  112.    wt: 1:   Chapter 10 Transition
  113.    wt: 1:   Chapter 10 Responsibility
  114.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  115.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

864 matches:

  1.    wt: 9:   21 Parallelograms
  2.    wt: 9:   10 Dropping a perpendicular to line
  3.    wt: 9:   2 Correspondence between Triangles
  4.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  5.    wt: 9:   6 Figuring with Maps Not to Scale
  6.    wt: 9:   2 Measuring Area Directly
  7.    wt: 8:   10 Parallelogram Addition Method
  8.    wt: 8:   2 Signed Coordinates
  9.    wt: 8:   10 Graphs of sines and cosines many periods
  10.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  11.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  12.    wt: 8:   2 Similarity By Design
  13.    wt: 8:   PS C Similarity Use Recognize it in Trigonometry
  14.    wt: 8:   PS A Kite Construction Methods
  15.    wt: 8:   16 Angles Subtended By Chords and Diameters
  16.    wt: 8:   11 Triangle Construction Fails
  17.    wt: 8:   1 Initial Concepts and Terms
  18.    wt: 8:   A Measurement with Ruler Proper Use
  19.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  20.    wt: 8:   1 Length Measurement
  21.    wt: 7:   10 arctan left inverse of tangent Definition
  22.    wt: 7:   13 Velocity Vectors in Physics
  23.    wt: 7:   11 Component Method
  24.    wt: 7:   8 Parallel Vectors
  25.    wt: 7:   6 Vectors with Coordinates
  26.    wt: 7:   3 Navigation with Arrows or Vectors
  27.    wt: 7:   1 Unsigned Coordinates
  28.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  29.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  30.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  31.    wt: 7:   Straight Lines ASA Intersection Study More
  32.    wt: 7:   Straight Lines ASA Intersection Study
  33.    wt: 7:   Straight Lines Instersection Solving Equations
  34.    wt: 7:   Straight Lines Intersection of
  35.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  36.    wt: 7:   21 sine and cosine Half Angle Formulas
  37.    wt: 7:   13 Graph of tangent function many periods
  38.    wt: 7:   12 Graph of tangent function for one period
  39.    wt: 7:   11 tangent function undefined when terminal side vertical
  40.    wt: 7:   9 Graphs of sine and cosine over one period
  41.    wt: 7:   8 period of tangent function
  42.    wt: 7:   7 period of sine and cosine
  43.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  44.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  45.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  46.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  47.    wt: 7:   Unit Circle Development of Trigonometry
  48.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  49.    wt: 7:   21 Logarithms Powers and Exponentials
  50.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  51.    wt: 7:   2 Complex Numbers made easier we hope
  52.    wt: 7:   8 Triangles Cascade Problem Solving
  53.    wt: 7:   7 Trignometric Ratios Unit Circle
  54.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  55.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  56.    wt: 7:   3 Trigonometric Ratios sine and cosine
  57.    wt: 7:   1 Angle Measurement with Degrees
  58.    wt: 7:   Why Trigonometry the whyslopes view
  59.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  60.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  61.    wt: 7:   10 Midpoint of [a b] and [b a]
  62.    wt: 7:   2 point slope equation for a line
  63.    wt: 7:   10 Pythagorean plane distance formula
  64.    wt: 7:   2 Cartesian Coordinates with signs
  65.    wt: 7:   Euclidean Geometry Elsewhere LINKS
  66.    wt: 7:   PS H Distributive Law For Complex Numbers
  67.    wt: 7:   PS G Rotation Distributes over Addition
  68.    wt: 7:   PS F Scalar Multiplication Distributes over Addition
  69.    wt: 7:   PS E Multiplication with Polar Coordinates
  70.    wt: 7:   PS D Addition with Cartesian Coordinates
  71.    wt: 7:   PS B Parallelogram Construction Methods
  72.    wt: 7:   19 Right Triangle Similarity
  73.    wt: 7:   18 Triangle Similarity Take 1
  74.    wt: 7:   17 Right Bisectors of Triangle Sides
  75.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  76.    wt: 7:   14 Parallel Lines Postulate
  77.    wt: 7:   13 Angle Side Angle Failure
  78.    wt: 7:   12 Side Angle Side Failure
  79.    wt: 7:   9 Construction of a right bisector
  80.    wt: 7:   8 Isoceles Triangles
  81.    wt: 7:   7 Angle Side Angle
  82.    wt: 7:   6 Ruler and compass Angle Bisection
  83.    wt: 7:   5 Side Angle Side
  84.    wt: 7:   4 Side Side Side
  85.    wt: 7:   3 Isometry of Triangles Congruence
  86.    wt: 7:   Short Course on Euclidean Geometry
  87.    wt: 6:   3 quadratics factoring by inspection
  88.    wt: 6:   16 cotangent function Definition Graph and Inverse
  89.    wt: 6:   15 cosecant function Definition Graph and Inverse
  90.    wt: 6:   14 secant function Definition Graph and Inverse
  91.    wt: 6:   13 cosecant function Definition Graph and Inverse
  92.    wt: 6:   12 motivation for term arctan
  93.    wt: 6:   11 arctan left inverse of tangent Graph
  94.    wt: 6:   9 Summary Degrees to Radians and back
  95.    wt: 6:   A Global Time and Navigation
  96.    wt: 6:   15 Dot and Cross Product
  97.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  98.    wt: 6:   12 From Applied To Pure Mathematics
  99.    wt: 6:   9 Head to Tail Coordinate View
  100.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  101.    wt: 6:   5 Head To Tail Arrow Addition
  102.    wt: 6:   4 Resultant of a Sum of Movements
  103.    wt: 6:   Vector and Complex Number Applet
  104.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  105.    wt: 6:   Parallel Lines and Parallel Transversals
  106.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  107.    wt: 6:   Triangle Angles Sum To 180 Degrees
  108.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  109.    wt: 6:   Parallel Lines and Interior Angles
  110.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  111.    wt: 6:   C Straight Lines Slope from Coordinates
  112.    wt: 6:   B Straight Line Slope Scaling Properties More
  113.    wt: 6:   A Straight Line Slope Scaling Properties
  114.    wt: 6:   10 Straight Lines through Origin Equations More
  115.    wt: 6:   8 Straight Lines Equation for vertical
  116.    wt: 6:   7 Tangent Function is odd on this domain
  117.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  118.    wt: 6:   5 Tangent Function Graph
  119.    wt: 6:   4 Tangent Function Properties
  120.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  121.    wt: 6:   17 tangent function angle sum formulas
  122.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  123.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  124.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  125.    wt: 6:   32 seven rows of pascals triangle
  126.    wt: 6:   31 basic secant cosecant cotangent trig identities
  127.    wt: 6:   30 unit circle calculation of six trigonometric functions
  128.    wt: 6:   29 secant cosecant and cotangent for acute angles
  129.    wt: 6:   28 Expressing products of sines cosines as sums
  130.    wt: 6:   27 Logarithmic use of products of sines and cosines
  131.    wt: 6:   26 Formulas for products of sines and cosines
  132.    wt: 6:   25 tangent double angle formula Slope connection
  133.    wt: 6:   24 tangent Angle Difference Formula
  134.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  135.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  136.    wt: 6:   20 sine and cosine Double Angle Formulas
  137.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  138.    wt: 6:   18 sum of sinusoidal waves as a single wave
  139.    wt: 6:   17G Pythagorean Theorem Converse
  140.    wt: 6:   17F Law of cosines
  141.    wt: 6:   17E Trig Formulas for dot and cross Products
  142.    wt: 6:   17D cis formulas for sine cosines and tangent
  143.    wt: 6:   17C sine and cosine double triple angle formulas
  144.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  145.    wt: 6:   17A The complex number valued trig function cis
  146.    wt: 6:   16 Right Triangle Complementary Angle Relations
  147.    wt: 6:   15 sine cosine Complementary Angle Relations
  148.    wt: 6:   14 cosine even and sine and tangent are odd
  149.    wt: 6:   2 Quadrant I reference Angles
  150.    wt: 6:   1 Unit Points Reflections Rotations
  151.    wt: 6:   20 N th Roots of Complex Numbers
  152.    wt: 6:   11 sine and cosine double triple angle formulas
  153.    wt: 6:   8 Unit Circle Development of Trigonometry
  154.    wt: 6:   1 Rectangular Polar Coordinates Review
  155.    wt: 6:   11 Triangle Similarity Missing Side Problem
  156.    wt: 6:   3 Similarity by Design with coordinates
  157.    wt: 6:   1 Early Concept of Like or Similar Shapes
  158.    wt: 6:   11 A Partial Summary
  159.    wt: 6:   6 Intersection of lines by solving linear systems
  160.    wt: 6:   1 Numerical view of lines and their equations
  161.    wt: 6:   11 Triangle Inequality
  162.    wt: 6:   1 Cartesian Coordinates sans signs
  163.    wt: 5:   9 motivation for name arcsin
  164.    wt: 5:   8 arcsin left inverse of sine Graph
  165.    wt: 5:   7 arcsin left inverse of sine Definition
  166.    wt: 5:   6 Graph of arccos function
  167.    wt: 5:   5 Swapping Coordinates is a reflection
  168.    wt: 5:   4 possible motivation for term arccos
  169.    wt: 5:   3 Left Inverse of cosine arccos definition
  170.    wt: 5:   2 cosine function more properties
  171.    wt: 5:   1 cosine function properties
  172.    wt: 5:   8 Radian Measures of Common Angles
  173.    wt: 5:   7 Radian Measures in special Triangles
  174.    wt: 5:   6 Radian Measure to Degrees
  175.    wt: 5:   5 Degrees to Radian Measure
  176.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  177.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  178.    wt: 5:   2 Radian Measure Numerical Value of one degree
  179.    wt: 5:   1 Degrees and Radians Introduction
  180.    wt: 5:   4 graphing y=Asin(x c)
  181.    wt: 5:   3 graphing y=f(x c) plus K
  182.    wt: 5:   1 graphing y=f(x a)
  183.    wt: 5:   14 Straight Lines Equations General Case
  184.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  185.    wt: 5:   12 Straight Lines Graphing mx plus b
  186.    wt: 5:   11 Straight Lines Graphing y=mx
  187.    wt: 5:   9 Straight Lines through Origin Equations
  188.    wt: 5:   1 Straight Lines Slope Concept
  189.    wt: 5:   19 N th Roots of Unity
  190.    wt: 5:   18 Sixth Roots of Unity
  191.    wt: 5:   17 Cube Roots of unity
  192.    wt: 5:   16 References and Originality Question
  193.    wt: 5:   15 Pythagorean Theorem Converse
  194.    wt: 5:   14 Law of cosines
  195.    wt: 5:   13 Trig Formulas for dot and cross Products
  196.    wt: 5:   12 cis formulas for sine cosines and tangent
  197.    wt: 5:   9 The complex number valued trig function cis
  198.    wt: 5:   7 Second Way to Calculate Products
  199.    wt: 5:   6 Field Properties of Complex Number
  200.    wt: 5:   5 An Easy Proof of the Distributive Law
  201.    wt: 5:   4 Multiplication Properties
  202.    wt: 5:   3 Addition Properties
  203.    wt: 5:   Appetizer A Complex Number Applet
  204.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  205.    wt: 5:   12 Triangles Similarity More Problems
  206.    wt: 5:   9 Similarity of Triangles Usual Criteria
  207.    wt: 5:   8 Similarity of Triangles and Polygons
  208.    wt: 5:   7 Translations Rotations Reflections Dilatations
  209.    wt: 5:   6 Geometric Diagrams in Class
  210.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  211.    wt: 5:   4 Similarity Definition with Coordinate
  212.    wt: 5:   Four Simple Exercises
  213.    wt: 5:   12 Links Lessons elsewhere
  214.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  215.    wt: 5:   8 Mid Point Formula
  216.    wt: 5:   7 Exercises to test skill and concept mastery
  217.    wt: 5:   5 Algebraic View of Slopes
  218.    wt: 5:   4 Equations for lines three forms
  219.    wt: 5:   3 Slope product for perpendicular lines
  220.    wt: 5:   What is and is not here
  221.    wt: 5:   13 Pythagorean spatial distance formulas
  222.    wt: 5:   12 Spatial Coordinates
  223.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  224.    wt: 5:   8 Distance Between Points on a Line
  225.    wt: 5:   7 Complex Numbers Appetizer
  226.    wt: 5:   6 Polar Multiplication and Rotation
  227.    wt: 5:   5 Cartesian Addition and Translation
  228.    wt: 5:   4 Polar Coordinates to and from
  229.    wt: 5:   3 Rectangular Coordinates Review
  230.    wt: 5:   About Folder Contents
  231.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  232.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  233.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  234.    wt: 5:   4 LCM of 8 and 10 via Prime
  235.    wt: 5:   10 Division by Five Long and Short Ways
  236.    wt: 5:   2 Subtraction Easy Case Examples
  237.    wt: 4:   2 quadratics graphing in general
  238.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  239.    wt: 4:   2 Fraction Operations Physical Development
  240.    wt: 4:   2 Three Examples
  241.    wt: 4:   10 One Example
  242.    wt: 4:   2 Three Examples
  243.    wt: 4:   13 GCD from given Prime Factorization
  244.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  245.    wt: 4:   8 GCD from Euclidean Algorithm
  246.    wt: 4:   7 GCD and LCM from prime factorization
  247.    wt: 4:   6 GCD from Prime
  248.    wt: 4:   1 Least Common Multiples LCM Introduction
  249.    wt: 4:   12 GCD 2700 288 via Prime
  250.    wt: 4:   2 Division with Single Digit Divisors
  251.    wt: 4:   2 One Digit Multipliers
  252.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  253.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  254.    wt: 4:   2 Decimal Counting Practices
  255.    wt: 4:   1. Explaining Addition Table
  256.    wt: 4:   10 Power rule for negative integers
  257.    wt: 4:   10 Three one sided limits with infinite values
  258.    wt: 4:   2 Algebraic codification
  259.    wt: 3:   About site lesson plans
  260.    wt: 3:   Maps Plans Drawings
  261.    wt: 3:   02 21 words for teachers
  262.    wt: 3:   02 20 mathematics education references
  263.    wt: 3:   cultivating intelligence
  264.    wt: 3:   2 Conductance Resistance Duality02
  265.    wt: 3:   Ages 10 to 12 Geometry
  266.    wt: 3:   Ages 10 to 12 Arithmetic
  267.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  268.    wt: 3:   10 quadratic exercises
  269.    wt: 3:   9 quadratics physical and further context
  270.    wt: 3:   8 quadratics backward use of various formulas
  271.    wt: 3:   6 quadratics numerical approach
  272.    wt: 3:   5 quadratics completing the square
  273.    wt: 3:   4 quadratics difference of two squares
  274.    wt: 3:   1 quadratics graphing exercises
  275.    wt: 3:   Quadratics in 10 steps
  276.    wt: 3:   10 Exponential Growth and Decay Models
  277.    wt: 3:   2 Square Root Simplification a prequel
  278.    wt: 3:   21 Addition of Multiples of a Single Vector
  279.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  280.    wt: 3:   19 Signed Multiples of Vectors
  281.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  282.    wt: 3:   13 Arrows and Vectors in a Plane
  283.    wt: 3:   2 Combing Counts Addition Skills and Principles
  284.    wt: 3:   5 Areas of Rectangles Revisited
  285.    wt: 3:   4 Fraction Operations Axiomatic Development
  286.    wt: 3:   3 Inequalities Algebraically
  287.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  288.    wt: 3:   2 Algebraic View
  289.    wt: 3:   10 Real Number Lengths and Signs
  290.    wt: 3:   8 Coordinates for Maps and Planes
  291.    wt: 3:   2 Computation Rules Evaluation
  292.    wt: 3:   2 GE II Comparison
  293.    wt: 3:   2 Essentially one exercises three with solution
  294.    wt: 3:   1 Proper Equal Sign Usage
  295.    wt: 3:   Skill Development Notes
  296.    wt: 3:   10 Volume of Pyramid
  297.    wt: 3:   2 Another Rectangle Area Formula Example
  298.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  299.    wt: 3:   2 What is a Variable
  300.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  301.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  302.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  303.    wt: 3:   5 Common Divisors 60 45 via Prime
  304.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  305.    wt: 3:   2 Least Common Multiple LCM intro via list method
  306.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  307.    wt: 3:   Long Division Backwards more
  308.    wt: 3:   Long Division Backward
  309.    wt: 3:   11 Another Single Digit Divisor Example
  310.    wt: 3:   1 Divsion Physical Examples
  311.    wt: 3:   D Decimal Multiplication Methods Derived
  312.    wt: 3:   1 Why 3 times 5 gives 15
  313.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  314.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  315.    wt: 3:   Subtraction with J Conversions Example
  316.    wt: 3:   Subtraction Another Video Lesson
  317.    wt: 3:   9 22 Minute Subtraction Review Video
  318.    wt: 3:   8 Subtraction with Units of Measure
  319.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  320.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  321.    wt: 3:   5 A Tip for Efficent Subtraction
  322.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  323.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  324.    wt: 3:   8 What skills and work habits to require
  325.    wt: 3:   7 Adding decimal fractions using decimal point
  326.    wt: 3:   6. Counting and adding units and mixed units
  327.    wt: 3:   5. How to add decimals C. Examples
  328.    wt: 3:   4. How to add with decimals B with conversions
  329.    wt: 3:   3. How to add with decimals A sans conversions
  330.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  331.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  332.    wt: 3:   38 Formulas and derivatives for powers and roots
  333.    wt: 3:   29 Chain Rule Optional Reading
  334.    wt: 3:   28 Chain Rule Preparation for a Proof
  335.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  336.    wt: 3:   26 Chain Rule Recognising outer inner functions
  337.    wt: 3:   23 Chain Rule in general
  338.    wt: 3:   22 Chain Rule for polynomials
  339.    wt: 3:   21 Chain Rule for powers
  340.    wt: 3:   19 Chain Rule for linear functions
  341.    wt: 3:   11 Quotient rule
  342.    wt: 3:   9 Reciprocal rule
  343.    wt: 3:   8 Differentiation of polynomials
  344.    wt: 3:   7 Animated Differentiation Examples
  345.    wt: 3:   6 Power rule from product rule
  346.    wt: 3:   5 Product Rule
  347.    wt: 3:   4 Sum Rule
  348.    wt: 3:   3 Motivation for Limit Definition Take 2
  349.    wt: 3:   2 Motivation for Limit Definition Take 1
  350.    wt: 3:   9 Limits Continuity and Composition
  351.    wt: 3:   7 Evaluation by immediate or delayed substitution
  352.    wt: 3:   3 Decimal insights for limits continuity convergence
  353.    wt: 3:   1 Numerical introduction
  354.    wt: 3:   Chapter 10 Transition
  355.    wt: 3:   Chapter 10 Responsibility
  356.    wt: 2:   10 statistics
  357.    wt: 2:   why bother
  358.    wt: 2:   which way to go
  359.    wt: 2:   Applied Maths Program14092009 POMME variant
  360.    wt: 2:   activities for students
  361.    wt: 2:   key notes and themes
  362.    wt: 2:   Mathematics Education Professors
  363.    wt: 2:   grouping students according to ability
  364.    wt: 2:   what should be learnt and When
  365.    wt: 2:   Postscript 2007 01 10
  366.    wt: 2:   Secondary Three Mathematics
  367.    wt: 2:   Secondary Two Mathematics
  368.    wt: 2:   Lessening Algebra Difficulties
  369.    wt: 2:   the trouble with algebra
  370.    wt: 2:   three goals for Mathematics Education
  371.    wt: 2:   05 13 OldSiteEntrancePage
  372.    wt: 2:   04 29 New Mathematics Curriculum
  373.    wt: 2:   04 25 when to stop or suspend mathemat
  374.    wt: 2:   three aims for mathematics students
  375.    wt: 2:   standards for course material
  376.    wt: 2:   Operational Viewpoint to Value
  377.    wt: 2:   formal or informal peer review
  378.    wt: 2:   Theory of Knowledge
  379.    wt: 2:   mathematics instruction in general
  380.    wt: 2:   Education in mathematics science and technology
  381.    wt: 2:   Different Kinds of Reasoning in maths
  382.    wt: 2:   three kinds of reason in mathematics
  383.    wt: 2:   Four ways to improve education reform
  384.    wt: 2:   Prequel In For A Penny In For A Pound
  385.    wt: 2:   education an empirical art
  386.    wt: 2:   fairness and inductive principles for instruction
  387.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  388.    wt: 2:   chapitre 04 02 Deuxieme enigme
  389.    wt: 2:   chapitre 02 00 La Communication des idees
  390.    wt: 2:   2 Energy Power Heat07
  391.    wt: 2:   B Energy Power02
  392.    wt: 2:   A Energy Power01
  393.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  394.    wt: 2:   10 Ends values for work study instruction
  395.    wt: 2:   2 Reading and Writing Skills
  396.    wt: 2:   Ages 9 to 10
  397.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  398.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  399.    wt: 2:   26 Function definitions done and coming
  400.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  401.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  402.    wt: 2:   23 Inverse Functions
  403.    wt: 2:   22 Square Root function graphically
  404.    wt: 2:   20 Interchanging coordinates a reflection
  405.    wt: 2:   10 Interval Notation
  406.    wt: 2:   2 Algebraic use of function notation
  407.    wt: 2:   A Quadratics Summary
  408.    wt: 2:   7 quadratic formulla derivation
  409.    wt: 2:   11 Growth and Decay in Biology
  410.    wt: 2:   1 Calculator Starter Exercises
  411.    wt: 2:   2 Column Multiplication Method
  412.    wt: 2:   26 More Less Greater Than Comparison
  413.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  414.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  415.    wt: 2:   23 Distributive Law Two Derivations
  416.    wt: 2:   22 Multiplication of Signed Numbers
  417.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  418.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  419.    wt: 2:   15 Head to Tails in place Addition Associative
  420.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  421.    wt: 2:   12 Real Numbers Line Signed Coordinates
  422.    wt: 2:   11 Signed Number Addition and Addition Properties
  423.    wt: 2:   9 Division with Digits after Decimal Point
  424.    wt: 2:   8 Division and Mulplication of Compound Fractions
  425.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  426.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  427.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  428.    wt: 2:   4 Location of Point in Decimal Addition
  429.    wt: 2:   3 Location of Point in Decimal Multiplication
  430.    wt: 2:   2 Counting Digits in Decimal Multiplication
  431.    wt: 2:   1 Fractions with Finite Decimal Expansions
  432.    wt: 2:   1 The Counting Origins of Numbers
  433.    wt: 2:   1 What is Proportionality
  434.    wt: 2:   2 Linear Equation Literal Solution
  435.    wt: 2:   2 Addition and Multiplication Axioms
  436.    wt: 2:   2 More and Less Than for Counts and Measures
  437.    wt: 2:   16 Real Numbers Comparison
  438.    wt: 2:   15 Real Number Division
  439.    wt: 2:   14 Real Number Multiplication
  440.    wt: 2:   13 Real Number Subtraction
  441.    wt: 2:   12 Real Number Additive Inverses or Negatives
  442.    wt: 2:   11 Real Number Addition
  443.    wt: 2:   9 Coordinates for Regions in Space
  444.    wt: 2:   7 Real Numbers as Line Cordinates
  445.    wt: 2:   6 Unsigned Real Numbers
  446.    wt: 2:   2 Integers
  447.    wt: 2:   5 Independent versus Dependent Variables
  448.    wt: 2:   4 Changing Letters
  449.    wt: 2:   3 Geometric Formulas and Function Notation
  450.    wt: 2:   1 Formulas Dependence and Function Notation
  451.    wt: 2:   1 GE Substitution four examples
  452.    wt: 2:   1 Essentially One Unknown
  453.    wt: 2:   6 Algebraic Solution Example
  454.    wt: 2:   5 Algebraic Solutions Introduction
  455.    wt: 2:   4 Four Examples Fractional Coefficients
  456.    wt: 2:   3 Four Examples
  457.    wt: 2:   9 Three Examples
  458.    wt: 2:   8 One Example
  459.    wt: 2:   7 Two Examples
  460.    wt: 2:   6 Three Examples
  461.    wt: 2:   5 Three Examples
  462.    wt: 2:   4 Two Examples
  463.    wt: 2:   3 Two Examples
  464.    wt: 2:   13 Naming Identifying Formulas with Words
  465.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  466.    wt: 2:   11 Volume of Sphere
  467.    wt: 2:   9 Volume of Cone
  468.    wt: 2:   8 Compound Interest Formula Evaluation
  469.    wt: 2:   7 Compound Interest Formula Introduction
  470.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  471.    wt: 2:   5 Box Volume Formula Example
  472.    wt: 2:   4 Circle Area Formula Example
  473.    wt: 2:   3 Triangle Area Formula Example
  474.    wt: 2:   1 Written work formats for developing and showing skill
  475.    wt: 2:   2 Venn Diagrams
  476.    wt: 2:   6 Three Notions of What is a Variable
  477.    wt: 2:   5 Talking about Numbers and Quantities
  478.    wt: 2:   4 A Brief Story of numbers and algebra
  479.    wt: 2:   3 Adding Words To Arithmetic
  480.    wt: 2:   1 Three Skills For Algebra
  481.    wt: 2:   2 More and Less Than with Unlike Signs
  482.    wt: 2:   10 dividing signed numbers
  483.    wt: 2:   3 signed coordinates for maps and planes
  484.    wt: 2:   2 signed and unsigned numbers as coordinates
  485.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  486.    wt: 2:   10 Integer Multiplication Formulas
  487.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  488.    wt: 2:   26 Divisibility by 2 3 5 Example
  489.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  490.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  491.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  492.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  493.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  494.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  495.    wt: 2:   1 Remainder Arithmetic Modulo 10
  496.    wt: 2:   10 video Prime Factorization upto 23 squared
  497.    wt: 2:   2 Prime and Composites less than 16
  498.    wt: 2:   Division with Counts and Length
  499.    wt: 2:   Long Division forwards and backwards Example 3
  500.    wt: 2:   Long Division forwards and backwards Example 2
  501.    wt: 2:   Long Division forwards and backwards Example 1
  502.    wt: 2:   12 Why Long Division Works Take III
  503.    wt: 2:   9 Why Long Division Works Take II
  504.    wt: 2:   8 Correcting the Mistake
  505.    wt: 2:   7 Long Divison Mistake Catching
  506.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  507.    wt: 2:   5 Long Division Include Zeroes or not
  508.    wt: 2:   4 Division with 2 Digit Divsors
  509.    wt: 2:   3 Division Single Digit Divisor Example
  510.    wt: 2:   C Counting Areas with Powers of Ten
  511.    wt: 2:   B Powers of Ten
  512.    wt: 2:   A Elementary Basis for Multiplication Methods
  513.    wt: 2:   6 Multiplication Commutes Order Not Important
  514.    wt: 2:   5 Decimal Fraction Multiplication
  515.    wt: 2:   4 Two and Three Digit Multipliers
  516.    wt: 2:   3 More One Digit Multipliers
  517.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  518.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  519.    wt: 2:   Video Power Notation in Decimal Expansion
  520.    wt: 2:   11 Place Value SI Standard International way
  521.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  522.    wt: 2:   012 Division of Time Intervals by Time Intervals
  523.    wt: 2:   011 Division of Time Intervals By Numbers
  524.    wt: 2:   010 Repeated Addition of Time Intervals
  525.    wt: 2:   Example 2 volume of a cone
  526.    wt: 2:   Volume of Solid by Cross Sections Lesson
  527.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  528.    wt: 2:   Example 2
  529.    wt: 2:   Area Between Curves Lesson Take 1
  530.    wt: 2:   2 Indefinite Integrals Exercises
  531.    wt: 2:   1 Chain Rule in Reverse Integration Method
  532.    wt: 2:   2 Second derivative test prequel
  533.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  534.    wt: 2:   A Chain Rule Real Player video examples
  535.    wt: 2:   36 Cube root derivative animated
  536.    wt: 2:   34 Derivative of exponential function
  537.    wt: 2:   33 Chain Rule Real Player video examples
  538.    wt: 2:   31 Derivatives of inverse functions
  539.    wt: 2:   30Chain Rule A Proof
  540.    wt: 2:   25 Chain Rule Animated Examples Continued
  541.    wt: 2:   24 Chain Rule Animated Examples
  542.    wt: 2:   20 Chain Rule for Pulley Systems
  543.    wt: 2:   18 Chain Rule Introduction
  544.    wt: 2:   17 Derivatives of quotients of sine and cosine
  545.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  546.    wt: 2:   15 sine and cosine derivatives 3rd step
  547.    wt: 2:   14 sine and cosine derivatives 2nd step
  548.    wt: 2:   13 sine and cosine derivatives 1st step
  549.    wt: 2:   12 Quotient rule examples
  550.    wt: 2:   1 Fall 1983 Why Slopes Appetizer
  551.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  552.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  553.    wt: 2:   11 Limits at infinity Three Examples
  554.    wt: 2:   8 Four Animated Examples
  555.    wt: 2:   6 Continuity at a point
  556.    wt: 2:   5 Jumps and absence of unlimited error control
  557.    wt: 2:   4 Numerical properties
  558.    wt: 2:   Chapter 10 Slopes and Units
  559.    wt: 2:   Chapter 10 Describing and Changing Calculations
  560.    wt: 2:   Chapter 11 Elementary Instruction
  561.    wt: 2:   Chapter 2 For and Against Mathematics
  562.    wt: 2:   Chapter 1 Introduction
  563.    wt: 2:   Chapter 21 Occurrence Tables
  564.    wt: 2:   Chapter 11 Accidental Patterns
  565.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  566.    wt: 2:   Chapter 2 Skill Development
  567.    wt: 2:   Chapter 1 Introduction
  568.    wt: 2:   Three Remarks
  569.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  570.    wt: 1:   Skills Chapter 1 Arithmetic
  571.    wt: 1:   Skills Chapter 0 Introduction
  572.    wt: 1:   2 arithmetic with signed numbers
  573.    wt: 1:   website reviews
  574.    wt: 1:   three goals to set for students
  575.    wt: 1:   Teach the teachers plus goals
  576.    wt: 1:   permissions for teachers
  577.    wt: 1:   Math Ed if it must be short make it lean effective
  578.    wt: 1:   links Education Resources online
  579.    wt: 1:   site origins
  580.    wt: 1:   site eurekas
  581.    wt: 1:   teacher certification
  582.    wt: 1:   modern education
  583.    wt: 1:   learning takes time
  584.    wt: 1:   mathematics in context
  585.    wt: 1:   Education Reform Inconsistencies
  586.    wt: 1:   five decades make a difference
  587.    wt: 1:   how letters appear
  588.    wt: 1:   Secondary One Mathematics
  589.    wt: 1:   talk the algebra talk
  590.    wt: 1:   three difficulties
  591.    wt: 1:   teaching tips
  592.    wt: 1:   What to Tell Students
  593.    wt: 1:   mathematics curriculum shifts
  594.    wt: 1:   geometric implications for algebra
  595.    wt: 1:   teaching tutoring algebraic reason
  596.    wt: 1:   How to be a better instructor
  597.    wt: 1:   Motivation and Context Problem
  598.    wt: 1:   need for a mixed mathematics curriculum
  599.    wt: 1:   Leaner mathematics curriculum
  600.    wt: 1:   words for mathematics instructor
  601.    wt: 1:   chapitre 12 00 les iles et division
  602.    wt: 1:   chapitre 07 01 principle D induction mathematique
  603.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  604.    wt: 1:   chapitre 06 00 Chaines de la raison
  605.    wt: 1:   chapitre 05 00 Deception
  606.    wt: 1:   chapitre 04 09 Regles accidentelles
  607.    wt: 1:   chapitre 04 08 Limitations et benefices
  608.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  609.    wt: 1:   chapitre 04 06 engagements
  610.    wt: 1:   chapitre 04 05 Implication versus suggestion
  611.    wt: 1:   chapitre 04 04 Parlons de la logique
  612.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  613.    wt: 1:   chapitre 04 01 Premiere enigme
  614.    wt: 1:   chapitre 04 00 Les regles d implication
  615.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  616.    wt: 1:   chapitre 01 00 Introduction
  617.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  618.    wt: 1:   problemes responses
  619.    wt: 1:   problemes algebre et arithmetique
  620.    wt: 1:   4 Energy Power Heat09
  621.    wt: 1:   3 Energy Power Heat08
  622.    wt: 1:   1 Energy Power Heat06
  623.    wt: 1:   E Energy Power05
  624.    wt: 1:   D Energy Power04
  625.    wt: 1:   C Energy Power03
  626.    wt: 1:   D Wire Resistance Calculation02
  627.    wt: 1:   B Wire Resistance Qualitative02
  628.    wt: 1:   2 Unlike resistors in parallel01
  629.    wt: 1:   1 Like resistors in series
  630.    wt: 1:   H Series Circuit02
  631.    wt: 1:   C Electromotive force conventional current02
  632.    wt: 1:   A Circuit Elements
  633.    wt: 1:   Home Tutoring and Home Schooling
  634.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  635.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  636.    wt: 1:   24 Standards For Skill Develoment Take II
  637.    wt: 1:   24 Standards For Skill Develoment
  638.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  639.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  640.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  641.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  642.    wt: 1:   22 Student Centered Highschool Mathematics
  643.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  644.    wt: 1:   11 Help and Defend Your Child or Teens Education
  645.    wt: 1:   9 Streaming by Student Cooperation
  646.    wt: 1:   1 Speaking Skills
  647.    wt: 1:   Ages 12 to 14 Skills with take home value
  648.    wt: 1:   Ages 12 to 14 Geometry
  649.    wt: 1:   Ages 12 to 14 Arithmetic
  650.    wt: 1:   Ages 8 to 9
  651.    wt: 1:   Ages 7 to 8
  652.    wt: 1:   Ages 6 to 7
  653.    wt: 1:   Ages 4 plus to 5 plus
  654.    wt: 1:   Ages 3 plus to 4 plus
  655.    wt: 1:   sign monoticity analysis example 1
  656.    wt: 1:   11 Function Domain Range Source and Targets
  657.    wt: 1:   1 Geometric Introduction of Function Notation
  658.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  659.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  660.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  661.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  662.    wt: 1:   5 Natural Logarithm Calculator Exercises
  663.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  664.    wt: 1:   8 Notes for instructors or tutors
  665.    wt: 1:   7 Links Lessons Elsewhere
  666.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  667.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  668.    wt: 1:   4 Polynomials Long division linear divisor
  669.    wt: 1:   3 Polynomials Multiplication Addition
  670.    wt: 1:   1 Polynomials Distributive Law
  671.    wt: 1:   musings do not puiblish real numbers
  672.    wt: 1:   A Modular and Remainder Arithmetic
  673.    wt: 1:   A Signed Number Arithmetic Review
  674.    wt: 1:   E Long Division Methods more
  675.    wt: 1:   D Long Division Methods
  676.    wt: 1:   C Three Decimal Subtraction Methods
  677.    wt: 1:   B Decimal Comparison and Subtraction
  678.    wt: 1:   A Decimal Addition Columm Methods
  679.    wt: 1:   8 Column Multiplication Methods in General
  680.    wt: 1:   7 Decimals Multiplication Methods Examples
  681.    wt: 1:   6 Column Methods for Decimal Multiplication
  682.    wt: 1:   5 Distributive Law for Whole Numbers
  683.    wt: 1:   4 Commutative Law Groups Counting Form
  684.    wt: 1:   3 Multiplicative Counting Skills Principles
  685.    wt: 1:   5 Proportionality in Equivalent Fractions
  686.    wt: 1:   4 Rates Ratios and Proporitionality
  687.    wt: 1:   3 Proportionality Examples
  688.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  689.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  690.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  691.    wt: 1:   6 Compound Interest Forward and Backwards
  692.    wt: 1:   5 Triangle Area Formula Backwards
  693.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  694.    wt: 1:   3 Linear Equation Literal Solution More
  695.    wt: 1:   1 Changing Calculations
  696.    wt: 1:   6 Equations and Systems Equivalent or Implied
  697.    wt: 1:   5 Equality in Algebra
  698.    wt: 1:   4 Subtraction and Division Axioms
  699.    wt: 1:   3 Product Axioms Two Forms
  700.    wt: 1:   1 Equivalent Computation Rules
  701.    wt: 1:   5 Greater More Less Than Signs in General
  702.    wt: 1:   4 Comparison of Negative Numbers
  703.    wt: 1:   3 More and Less Than with Unlike Signs
  704.    wt: 1:   1 Real Numbers Comparison
  705.    wt: 1:   5 Rational Numbers More
  706.    wt: 1:   4 Rational Numbers
  707.    wt: 1:   3 Fractions
  708.    wt: 1:   1 Whole and Natural Numbers
  709.    wt: 1:   More Exercises
  710.    wt: 1:   Simple Exercises
  711.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  712.    wt: 1:   4 GE III Animated Examples
  713.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  714.    wt: 1:   3 GE III Equation Addition and Multiplication
  715.    wt: 1:   4 Solving a triangular system exercise
  716.    wt: 1:   3 Solving triangular system example
  717.    wt: 1:   Using Letters for Physical Quantities
  718.    wt: 1:   Formula Usage Show Work Format
  719.    wt: 1:   9 Sets in Probability and Statistics
  720.    wt: 1:   8 Sets of Numbers
  721.    wt: 1:   7 Cautious or Safe Set Construction
  722.    wt: 1:   6 Power Set Notation
  723.    wt: 1:   5 Product Builder Notation
  724.    wt: 1:   4 Subset Builder Notation
  725.    wt: 1:   3 Counting with Sets etc
  726.    wt: 1:   1 Finite Sets
  727.    wt: 1:   About Folder Contents
  728.    wt: 1:   1 More and Less Than for Counts and Measures
  729.    wt: 1:   5 Square Roots with primes more still
  730.    wt: 1:   4 Square Roots with primes more
  731.    wt: 1:   3 Properties of Square Roots with example
  732.    wt: 1:   2 Square Roots with Prime
  733.    wt: 1:   1 Squares and Square Roots Introduction
  734.    wt: 1:   11 What are real lengths and numbers
  735.    wt: 1:   17 Efficient Ways to Add and Subtract
  736.    wt: 1:   16 Addition Subtraction Comparision Compared
  737.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  738.    wt: 1:   14 Adding and Subtracting with Like Denominators
  739.    wt: 1:   13 Fraction Comparison Algebraic View
  740.    wt: 1:   12 Fraction Comparison
  741.    wt: 1:   11 Simplification an Algebraic View
  742.    wt: 1:   9 Improper Fractions and Mixed Numbers
  743.    wt: 1:   8 Numerals Fractionals Quantals Take II
  744.    wt: 1:   7 Numerals Fractionals Quantals
  745.    wt: 1:   6 Multiplication of Mixed Numbers
  746.    wt: 1:   6 Multiplication Algebraically Take II
  747.    wt: 1:   5 Equivalent Fractions
  748.    wt: 1:   4 Fraction Multiplication
  749.    wt: 1:   3 Unit fraction of a fraction
  750.    wt: 1:   2 Unit Fraction Multiplication
  751.    wt: 1:   1 What is a fraction Take II
  752.    wt: 1:   1 What is a fraction
  753.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  754.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  755.    wt: 1:   11 Adding Integers Formulas and Examples
  756.    wt: 1:   8 Multiplication by Signed Numbers Integers
  757.    wt: 1:   7 Multiplication by Signs
  758.    wt: 1:   6 Multiplication by Natural Numbers
  759.    wt: 1:   1 Integers as Coordinates
  760.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  761.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  762.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  763.    wt: 1:   5 Remainder Arithmetic Modulo 5
  764.    wt: 1:   20 Uniqueness of Prime Factorization
  765.    wt: 1:   11 Efficient Square Rule Use
  766.    wt: 1:   1 video how Products are bigger than factor
  767.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  768.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  769.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  770.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  771.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  772.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  773.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  774.    wt: 1:   The 20 Times Table
  775.    wt: 1:   016 Numbering Occidental Calendar Days
  776.    wt: 1:   015 School and work day counting tables
  777.    wt: 1:   014 Counting Days with Calendars
  778.    wt: 1:   013 Travel Time Tables
  779.    wt: 1:   2 Time and Date Matters in School
  780.    wt: 1:   Example 1 volume of a pyramid
  781.    wt: 1:   Example 1. Area Between x and x squared
  782.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  783.    wt: 1:   Example 4 with x function of y
  784.    wt: 1:   Example 3
  785.    wt: 1:   Example 1
  786.    wt: 1:   Area Between Curves Lesson Take 2
  787.    wt: 1:   Summary
  788.    wt: 1:   A Related Material in Volume 3
  789.    wt: 1:   5 Area Under Curve Exercise
  790.    wt: 1:   4 Definite Integrals Evaluation Exercises
  791.    wt: 1:   3 Two Chain Rule Method Exercises
  792.    wt: 1:   A Related lessons in Volume 3
  793.    wt: 1:   4 Second derivative test exercise example
  794.    wt: 1:   3 Second derivative test
  795.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  796.    wt: 1:   F.3 Intermediate Value Theorem
  797.    wt: 1:   F.2 Closed Range Theorem
  798.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  799.    wt: 1:   PostScript For and Against Decimal Perspectives
  800.    wt: 1:   A1. Introduction
  801.    wt: 1:   Chapter 23 Links To Trigonometry
  802.    wt: 1:   Chapter 21 Arrow Addition
  803.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  804.    wt: 1:   Chapter 11. Graphing Slope versus Position
  805.    wt: 1:   Chapter 2. Slopes and Ski Trails
  806.    wt: 1:   Chapter 1.Introduction
  807.    wt: 1:   Fall 1983 Calculus Appetizer
  808.    wt: 1:   Foreword
  809.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  810.    wt: 1:   Chapter 31 Direct and Indirect Reason
  811.    wt: 1:   Chapter 21. Third Reading Guide
  812.    wt: 1:   Chapter 11. Why Shorthand
  813.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  814.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  815.    wt: 1:   Annotated Links to Material Elsehwere
  816.    wt: 1:   Postscript B Mathematics Education References
  817.    wt: 1:   Postscript A Three Remarks
  818.    wt: 1:   Chapter 12 Four Phases
  819.    wt: 1:   Chapter 9 The Two Ends
  820.    wt: 1:   Chapter 8 Modern Instruction
  821.    wt: 1:   Chapter 7 Two Treatments of Geometry
  822.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  823.    wt: 1:   Chapter 5 Four References
  824.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  825.    wt: 1:   Chapter 3 Algebra Difficulties
  826.    wt: 1:   Foreword
  827.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  828.    wt: 1:   Postscript C Consistency as a Tool for Reason
  829.    wt: 1:   Postscript B More on Story Telling and Reason
  830.    wt: 1:   Postscript A Story Telling
  831.    wt: 1:   Chapter 24 Direct and Indirect Reason
  832.    wt: 1:   Chapter 23 Truth Tables
  833.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  834.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  835.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  836.    wt: 1:   Chapter 18 Sense and Knowledge
  837.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  838.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  839.    wt: 1:   Chapter 15 Objective Processes
  840.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  841.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  842.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  843.    wt: 1:   Chapter 8 Change of Language
  844.    wt: 1:   Chapter 7 Longer Chains of Reason
  845.    wt: 1:   Chapter 6 Chains of Reason
  846.    wt: 1:   Chapter 5 Deception
  847.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  848.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  849.    wt: 1:   Foreword
  850.    wt: 1:   N Improving Marks on Tests and Finals
  851.    wt: 1:   J. More on written work and showing skill
  852.    wt: 1:   B. Domino effect of errors
  853.    wt: 1:   A. Skill has to be seen to believed
  854.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  855.    wt: 1:   Chapter 2 Why Sets
  856.    wt: 1:   Chapter 1 Arithmetic
  857.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  858.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  859.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  860.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  861.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  862.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  863.    wt: 10:   4 Angles on Maps Plans drawn to scale
  864.    wt: 10:   3 Lengths and Areas on Maps and Plans
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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