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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32 matches:

  1.    wt: 8:   1 Maps Plans Measurement/
  2.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   11 Parallel Straight Lines and Transversals/
  5.    wt: 6:   8 Unit Circle Trigonometry/
  6.    wt: 6:   6 Trigonometry first steps/
  7.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 5:   12 Function Translating and Rescaling/
  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: 3:   10 LCM GCD and Euclid GCD Algorithm/
  18.    wt: 2:   10 Examples of Algebraic Reasoning/
  19.    wt: 2:   13 Lessons on Limits and Continuity/
  20.    wt: 1:   Mathematics Education Essays/
  21.    wt: 1:   Volume 1A Regles et modeles/
  22.    wt: 1:   3 Quadratics Geometrically/
  23.    wt: 1:   1 Five Polynomial Operations/
  24.    wt: 1:   Step 1 Stick diagram and fractions/
  25.    wt: 1:   11 Squares and Square Roots/
  26.    wt: 1:   A Decimal Counting and Adding Methods/
  27.    wt: 1:   1 Decimal Place Value/
  28.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  29.    wt: 1:   5 Lessons on Integration/
  30.    wt: 1:   4 Lessons on Using Derivatives/
  31.    wt: 1:   38 Lessons on Calculating Derivatives/
  32.    wt: 1:   70 Calculus Starter Lessons/

Web Page Search

90 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   A Quadratics Summary
  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:   5 Interpreting and Drawing Maps and Plans.
  7.    wt: 1:   10 statistics
  8.    wt: 1:   About site lesson plans
  9.    wt: 1:   Postscript 2007 01 10
  10.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  11.    wt: 1:   10 Ends values for work study instruction
  12.    wt: 1:   Ages 10 to 12 Geometry
  13.    wt: 1:   Ages 10 to 12 Arithmetic
  14.    wt: 1:   Ages 9 to 10
  15.    wt: 1:   10 Interval Notation
  16.    wt: 1:   10 quadratic exercises
  17.    wt: 1:   9 quadratics physical and further context
  18.    wt: 1:   8 quadratics backward use of various formulas
  19.    wt: 1:   6 quadratics numerical approach
  20.    wt: 1:   5 quadratics completing the square
  21.    wt: 1:   4 quadratics difference of two squares
  22.    wt: 1:   3 quadratics factoring by inspection
  23.    wt: 1:   2 quadratics graphing in general
  24.    wt: 1:   1 quadratics graphing exercises
  25.    wt: 1:   10 Exponential Growth and Decay Models
  26.    wt: 1:   10 arctan left inverse of tangent Definition
  27.    wt: 1:   9 Summary Degrees to Radians and back
  28.    wt: 1:   13 Velocity Vectors in Physics
  29.    wt: 1:   10 Parallelogram Addition Method
  30.    wt: 1:   8 Parallel Vectors
  31.    wt: 1:   6 Vectors with Coordinates
  32.    wt: 1:   3 Navigation with Arrows or Vectors
  33.    wt: 1:   10 Straight Lines through Origin Equations More
  34.    wt: 1:   10 Graphs of sines and cosines many periods
  35.    wt: 1:   Unit Circle Development of Trigonometry
  36.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  37.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  38.    wt: 1:   8 Unit Circle Development of Trigonometry
  39.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  40.    wt: 1:   Why Trigonometry the whyslopes view
  41.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  42.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  43.    wt: 1:   11 A Partial Summary
  44.    wt: 1:   10 Midpoint of [a b] and [b a]
  45.    wt: 1:   10 Pythagorean plane distance formula
  46.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  47.    wt: 1:   10 Dropping a perpendicular to line
  48.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  49.    wt: 1:   6 Figuring with Maps Not to Scale
  50.    wt: 1:   19 Signed Multiples of Vectors
  51.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  52.    wt: 1:   13 Arrows and Vectors in a Plane
  53.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  54.    wt: 1:   10 Real Number Lengths and Signs
  55.    wt: 1:   8 Coordinates for Maps and Planes
  56.    wt: 1:   10 One Example
  57.    wt: 1:   10 Volume of Pyramid
  58.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  59.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  60.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  61.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  62.    wt: 1:   4 LCM of 8 and 10 via Prime
  63.    wt: 1:   10 dividing signed numbers
  64.    wt: 1:   3 signed coordinates for maps and planes
  65.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  66.    wt: 1:   10 Integer Multiplication Formulas
  67.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  68.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  69.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  70.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  71.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  72.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  73.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  74.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  75.    wt: 1:   1 Remainder Arithmetic Modulo 10
  76.    wt: 1:   10 video Prime Factorization upto 23 squared
  77.    wt: 1:   10 Division by Five Long and Short Ways
  78.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  79.    wt: 1:   010 Repeated Addition of Time Intervals
  80.    wt: 1:   Summary
  81.    wt: 1:   10 Power rule for negative integers
  82.    wt: 1:   10 Three one sided limits with infinite values
  83.    wt: 1:   Chapter 23 Links To Trigonometry
  84.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  85.    wt: 1:   Chapter 10 Slopes and Units
  86.    wt: 1:   Chapter 10 Describing and Changing Calculations
  87.    wt: 1:   Chapter 10 Transition
  88.    wt: 1:   Chapter 10 Responsibility
  89.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  90.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

613 matches:

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