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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19 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 6:   5 What is Similarity/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   7 Complex Numbers/
  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: 2:   11 Squares and Square Roots/
  18.    wt: 1:   Parent Center/
  19.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/

Web Page Search

87 matches:

  1.    wt: 3:   3 Lengths and Areas on Maps and Plans
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   4 Angles on Maps Plans drawn to scale
  4.    wt: 2:   1 Squares and Square Roots Introduction
  5.    wt: 2:   11 What are real lengths and numbers
  6.    wt: 2:   Example 1. Area Between x and x squared
  7.    wt: 2:   F.1 What Functions are Continuous
  8.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  9.    wt: 1:   What is POMME
  10.    wt: 1:   About site lesson plans
  11.    wt: 1:   what should be learnt and When
  12.    wt: 1:   What to Tell Students
  13.    wt: 1:   15 Counting For Parents
  14.    wt: 1:   22 Square Root function graphically
  15.    wt: 1:   5 quadratics completing the square
  16.    wt: 1:   4 quadratics difference of two squares
  17.    wt: 1:   2 Square Root Simplification a prequel
  18.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  19.    wt: 1:   13 Velocity Vectors in Physics
  20.    wt: 1:   8 Parallel Vectors
  21.    wt: 1:   6 Vectors with Coordinates
  22.    wt: 1:   3 Navigation with Arrows or Vectors
  23.    wt: 1:   14 cosine even and sine and tangent are odd
  24.    wt: 1:   Unit Circle Development of Trigonometry
  25.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  26.    wt: 1:   8 Unit Circle Development of Trigonometry
  27.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  28.    wt: 1:   Why Trigonometry the whyslopes view
  29.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  30.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  31.    wt: 1:   What is and is not here
  32.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  33.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  34.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  35.    wt: 1:   6 Figuring with Maps Not to Scale
  36.    wt: 1:   2 Measuring Area Directly
  37.    wt: 1:   19 Signed Multiples of Vectors
  38.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  39.    wt: 1:   13 Arrows and Vectors in a Plane
  40.    wt: 1:   5 Areas of Rectangles Revisited
  41.    wt: 1:   1 What is Proportionality
  42.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  43.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  44.    wt: 1:   5 Triangle Area Formula Backwards
  45.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  46.    wt: 1:   8 Coordinates for Maps and Planes
  47.    wt: 1:   4 Circle Area Formula Example
  48.    wt: 1:   3 Triangle Area Formula Example
  49.    wt: 1:   2 Another Rectangle Area Formula Example
  50.    wt: 1:   6 Three Notions of What is a Variable
  51.    wt: 1:   2 What is a Variable
  52.    wt: 1:   5 Square Roots with primes more still
  53.    wt: 1:   4 Square Roots with primes more
  54.    wt: 1:   3 Properties of Square Roots with example
  55.    wt: 1:   2 Square Roots with Prime
  56.    wt: 1:   3 signed coordinates for maps and planes
  57.    wt: 1:   16 Addition Subtraction Comparision Compared
  58.    wt: 1:   1 What is a fraction Take II
  59.    wt: 1:   1 What is a fraction
  60.    wt: 1:   11 Efficient Square Rule Use
  61.    wt: 1:   10 video Prime Factorization upto 23 squared
  62.    wt: 1:   9 video Prime Factorization upto 19 squared
  63.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  64.    wt: 1:   5 Prime Factorization and a Square Rule
  65.    wt: 1:   1 video how Products are bigger than factor
  66.    wt: 1:   C Counting Areas with Powers of Ten
  67.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  68.    wt: 1:   8 What skills and work habits to require
  69.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  70.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  71.    wt: 1:   Area Between Curves Lesson Take 2
  72.    wt: 1:   Area Between Curves Lesson Take 1
  73.    wt: 1:   5 Area Under Curve Exercise
  74.    wt: 1:   Chapter 23 Links To Trigonometry
  75.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  76.    wt: 1:   Chapter 18. Slopes Areas Integration
  77.    wt: 1:   Chapter 17. Area Approximation
  78.    wt: 1:   Appendix D. What to do in School and Why
  79.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  80.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  81.    wt: 1:   Postscript What is a Variable
  82.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  83.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  84.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  85.    wt: 1:   N Mathematics Prepare for College Studies
  86.    wt: 1:   C. Domino effect of being careful
  87.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

335 matches:

  1.    wt: 9:   4 Angles on Maps Plans drawn to scale
  2.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  3.    wt: 8:   6 Figuring with Maps Not to Scale
  4.    wt: 8:   2 Measuring Area Directly
  5.    wt: 7:   13 Velocity Vectors in Physics
  6.    wt: 7:   8 Parallel Vectors
  7.    wt: 7:   6 Vectors with Coordinates
  8.    wt: 7:   3 Navigation with Arrows or Vectors
  9.    wt: 7:   14 cosine even and sine and tangent are odd
  10.    wt: 7:   Unit Circle Development of Trigonometry
  11.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  12.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  13.    wt: 7:   Why Trigonometry the whyslopes view
  14.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  15.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  16.    wt: 7:   A Measurement with Ruler Proper Use
  17.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  18.    wt: 7:   1 Length Measurement
  19.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  20.    wt: 6:   A Global Time and Navigation
  21.    wt: 6:   15 Dot and Cross Product
  22.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  23.    wt: 6:   12 From Applied To Pure Mathematics
  24.    wt: 6:   11 Component Method
  25.    wt: 6:   10 Parallelogram Addition Method
  26.    wt: 6:   9 Head to Tail Coordinate View
  27.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  28.    wt: 6:   5 Head To Tail Arrow Addition
  29.    wt: 6:   4 Resultant of a Sum of Movements
  30.    wt: 6:   2 Signed Coordinates
  31.    wt: 6:   1 Unsigned Coordinates
  32.    wt: 6:   Vector and Complex Number Applet
  33.    wt: 6:   17 tangent function angle sum formulas
  34.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  35.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  36.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  37.    wt: 6:   32 seven rows of pascals triangle
  38.    wt: 6:   31 basic secant cosecant cotangent trig identities
  39.    wt: 6:   30 unit circle calculation of six trigonometric functions
  40.    wt: 6:   29 secant cosecant and cotangent for acute angles
  41.    wt: 6:   28 Expressing products of sines cosines as sums
  42.    wt: 6:   27 Logarithmic use of products of sines and cosines
  43.    wt: 6:   26 Formulas for products of sines and cosines
  44.    wt: 6:   25 tangent double angle formula Slope connection
  45.    wt: 6:   24 tangent Angle Difference Formula
  46.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  47.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  48.    wt: 6:   21 sine and cosine Half Angle Formulas
  49.    wt: 6:   20 sine and cosine Double Angle Formulas
  50.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  51.    wt: 6:   18 sum of sinusoidal waves as a single wave
  52.    wt: 6:   17G Pythagorean Theorem Converse
  53.    wt: 6:   17F Law of cosines
  54.    wt: 6:   17E Trig Formulas for dot and cross Products
  55.    wt: 6:   17D cis formulas for sine cosines and tangent
  56.    wt: 6:   17C sine and cosine double triple angle formulas
  57.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  58.    wt: 6:   17A The complex number valued trig function cis
  59.    wt: 6:   16 Right Triangle Complementary Angle Relations
  60.    wt: 6:   15 sine cosine Complementary Angle Relations
  61.    wt: 6:   13 Graph of tangent function many periods
  62.    wt: 6:   12 Graph of tangent function for one period
  63.    wt: 6:   11 tangent function undefined when terminal side vertical
  64.    wt: 6:   10 Graphs of sines and cosines many periods
  65.    wt: 6:   9 Graphs of sine and cosine over one period
  66.    wt: 6:   8 period of tangent function
  67.    wt: 6:   7 period of sine and cosine
  68.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  69.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  70.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  71.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  72.    wt: 6:   2 Quadrant I reference Angles
  73.    wt: 6:   1 Unit Points Reflections Rotations
  74.    wt: 6:   8 Unit Circle Development of Trigonometry
  75.    wt: 6:   8 Triangles Cascade Problem Solving
  76.    wt: 6:   7 Trignometric Ratios Unit Circle
  77.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  78.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  79.    wt: 6:   3 Trigonometric Ratios sine and cosine
  80.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  81.    wt: 6:   1 Angle Measurement with Degrees
  82.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  83.    wt: 6:   12 Triangles Similarity More Problems
  84.    wt: 6:   11 Triangle Similarity Missing Side Problem
  85.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  86.    wt: 6:   9 Similarity of Triangles Usual Criteria
  87.    wt: 6:   8 Similarity of Triangles and Polygons
  88.    wt: 6:   7 Translations Rotations Reflections Dilatations
  89.    wt: 6:   6 Geometric Diagrams in Class
  90.    wt: 6:   4 Similarity Definition with Coordinate
  91.    wt: 6:   3 Similarity by Design with coordinates
  92.    wt: 6:   2 Similarity By Design
  93.    wt: 6:   1 Early Concept of Like or Similar Shapes
  94.    wt: 6:   What is and is not here
  95.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  96.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  97.    wt: 5:   16 cotangent function Definition Graph and Inverse
  98.    wt: 5:   15 cosecant function Definition Graph and Inverse
  99.    wt: 5:   14 secant function Definition Graph and Inverse
  100.    wt: 5:   13 cosecant function Definition Graph and Inverse
  101.    wt: 5:   12 motivation for term arctan
  102.    wt: 5:   11 arctan left inverse of tangent Graph
  103.    wt: 5:   10 arctan left inverse of tangent Definition
  104.    wt: 5:   9 motivation for name arcsin
  105.    wt: 5:   8 arcsin left inverse of sine Graph
  106.    wt: 5:   7 arcsin left inverse of sine Definition
  107.    wt: 5:   6 Graph of arccos function
  108.    wt: 5:   5 Swapping Coordinates is a reflection
  109.    wt: 5:   4 possible motivation for term arccos
  110.    wt: 5:   3 Left Inverse of cosine arccos definition
  111.    wt: 5:   2 cosine function more properties
  112.    wt: 5:   1 cosine function properties
  113.    wt: 5:   9 Summary Degrees to Radians and back
  114.    wt: 5:   8 Radian Measures of Common Angles
  115.    wt: 5:   7 Radian Measures in special Triangles
  116.    wt: 5:   6 Radian Measure to Degrees
  117.    wt: 5:   5 Degrees to Radian Measure
  118.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  119.    wt: 5:   2 Radian Measure Numerical Value of one degree
  120.    wt: 5:   1 Degrees and Radians Introduction
  121.    wt: 5:   4 graphing y=Asin(x c)
  122.    wt: 5:   3 graphing y=f(x c) plus K
  123.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  124.    wt: 5:   1 graphing y=f(x a)
  125.    wt: 5:   Parallel Lines and Parallel Transversals
  126.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  127.    wt: 5:   Triangle Angles Sum To 180 Degrees
  128.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  129.    wt: 5:   Parallel Lines and Interior Angles
  130.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  131.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  132.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  133.    wt: 5:   Straight Lines ASA Intersection Study More
  134.    wt: 5:   Straight Lines ASA Intersection Study
  135.    wt: 5:   Straight Lines Instersection Solving Equations
  136.    wt: 5:   Straight Lines Intersection of
  137.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  138.    wt: 5:   C Straight Lines Slope from Coordinates
  139.    wt: 5:   B Straight Line Slope Scaling Properties More
  140.    wt: 5:   A Straight Line Slope Scaling Properties
  141.    wt: 5:   14 Straight Lines Equations General Case
  142.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  143.    wt: 5:   12 Straight Lines Graphing mx plus b
  144.    wt: 5:   11 Straight Lines Graphing y=mx
  145.    wt: 5:   10 Straight Lines through Origin Equations More
  146.    wt: 5:   9 Straight Lines through Origin Equations
  147.    wt: 5:   8 Straight Lines Equation for vertical
  148.    wt: 5:   7 Tangent Function is odd on this domain
  149.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  150.    wt: 5:   5 Tangent Function Graph
  151.    wt: 5:   4 Tangent Function Properties
  152.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  153.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  154.    wt: 5:   1 Straight Lines Slope Concept
  155.    wt: 5:   21 Logarithms Powers and Exponentials
  156.    wt: 5:   20 N th Roots of Complex Numbers
  157.    wt: 5:   19 N th Roots of Unity
  158.    wt: 5:   18 Sixth Roots of Unity
  159.    wt: 5:   17 Cube Roots of unity
  160.    wt: 5:   16 References and Originality Question
  161.    wt: 5:   15 Pythagorean Theorem Converse
  162.    wt: 5:   14 Law of cosines
  163.    wt: 5:   13 Trig Formulas for dot and cross Products
  164.    wt: 5:   12 cis formulas for sine cosines and tangent
  165.    wt: 5:   11 sine and cosine double triple angle formulas
  166.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  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:   1 Rectangular Polar Coordinates Review
  175.    wt: 5:   Appetizer A Complex Number Applet
  176.    wt: 5:   Four Simple Exercises
  177.    wt: 5:   12 Links Lessons elsewhere
  178.    wt: 5:   11 A Partial Summary
  179.    wt: 5:   10 Midpoint of [a b] and [b a]
  180.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  181.    wt: 5:   8 Mid Point Formula
  182.    wt: 5:   7 Exercises to test skill and concept mastery
  183.    wt: 5:   6 Intersection of lines by solving linear systems
  184.    wt: 5:   5 Algebraic View of Slopes
  185.    wt: 5:   4 Equations for lines three forms
  186.    wt: 5:   3 Slope product for perpendicular lines
  187.    wt: 5:   2 point slope equation for a line
  188.    wt: 5:   1 Numerical view of lines and their equations
  189.    wt: 5:   13 Pythagorean spatial distance formulas
  190.    wt: 5:   12 Spatial Coordinates
  191.    wt: 5:   11 Triangle Inequality
  192.    wt: 5:   10 Pythagorean plane distance formula
  193.    wt: 5:   8 Distance Between Points on a Line
  194.    wt: 5:   7 Complex Numbers Appetizer
  195.    wt: 5:   6 Polar Multiplication and Rotation
  196.    wt: 5:   5 Cartesian Addition and Translation
  197.    wt: 5:   4 Polar Coordinates to and from
  198.    wt: 5:   3 Rectangular Coordinates Review
  199.    wt: 5:   2 Cartesian Coordinates with signs
  200.    wt: 5:   1 Cartesian Coordinates sans signs
  201.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  202.    wt: 5:   PS H Distributive Law For Complex Numbers
  203.    wt: 5:   PS G Rotation Distributes over Addition
  204.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  205.    wt: 5:   PS E Multiplication with Polar Coordinates
  206.    wt: 5:   PS D Addition with Cartesian Coordinates
  207.    wt: 5:   PS B Parallelogram Construction Methods
  208.    wt: 5:   PS A Kite Construction Methods
  209.    wt: 5:   21 Parallelograms
  210.    wt: 5:   19 Right Triangle Similarity
  211.    wt: 5:   18 Triangle Similarity Take 1
  212.    wt: 5:   17 Right Bisectors of Triangle Sides
  213.    wt: 5:   16 Angles Subtended By Chords and Diameters
  214.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  215.    wt: 5:   14 Parallel Lines Postulate
  216.    wt: 5:   13 Angle Side Angle Failure
  217.    wt: 5:   12 Side Angle Side Failure
  218.    wt: 5:   11 Triangle Construction Fails
  219.    wt: 5:   10 Dropping a perpendicular to line
  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:   1 Initial Concepts and Terms
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 4:   1 Squares and Square Roots Introduction
  232.    wt: 3:   5 Square Roots with primes more still
  233.    wt: 3:   4 Square Roots with primes more
  234.    wt: 3:   3 Properties of Square Roots with example
  235.    wt: 3:   2 Square Roots with Prime
  236.    wt: 3:   Example 1. Area Between x and x squared
  237.    wt: 2:   Maps Plans Drawings
  238.    wt: 2:   15 Counting For Parents
  239.    wt: 2:   11 What are real lengths and numbers
  240.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  241.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  242.    wt: 2:   Area Between Curves Lesson Take 2
  243.    wt: 2:   Area Between Curves Lesson Take 1
  244.    wt: 2:   F.1 What Functions are Continuous
  245.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  246.    wt: 1:   What is POMME
  247.    wt: 1:   About site lesson plans
  248.    wt: 1:   what should be learnt and When
  249.    wt: 1:   What to Tell Students
  250.    wt: 1:   Home Tutoring and Home Schooling
  251.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  252.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  253.    wt: 1:   24 Standards For Skill Develoment Take II
  254.    wt: 1:   24 Standards For Skill Develoment
  255.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  256.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  257.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  258.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  259.    wt: 1:   22 Student Centered Highschool Mathematics
  260.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  261.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  262.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  263.    wt: 1:   18 Primary School Mathematics
  264.    wt: 1:   17 Math Booklets for children and young teenagers
  265.    wt: 1:   16 Secondary Mathematics Tips
  266.    wt: 1:   14 Multiplication and Times Tables
  267.    wt: 1:   13 Addition and Addition Tables
  268.    wt: 1:   12 Goals and Objectives For Mathematics
  269.    wt: 1:   11 Help and Defend Your Child or Teens Education
  270.    wt: 1:   10 Ends values for work study instruction
  271.    wt: 1:   9 Streaming by Student Cooperation
  272.    wt: 1:   8 The Effect of Negative Remarks
  273.    wt: 1:   7 Student Motivation
  274.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  275.    wt: 1:   5 Patience Please for Yourself and Your Charges
  276.    wt: 1:   4 Learning Takes Time and Effort
  277.    wt: 1:   3 Preparing for Science Studies
  278.    wt: 1:   2 Reading and Writing Skills
  279.    wt: 1:   1 Speaking Skills
  280.    wt: 1:   22 Square Root function graphically
  281.    wt: 1:   5 quadratics completing the square
  282.    wt: 1:   4 quadratics difference of two squares
  283.    wt: 1:   2 Square Root Simplification a prequel
  284.    wt: 1:   19 Signed Multiples of Vectors
  285.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  286.    wt: 1:   13 Arrows and Vectors in a Plane
  287.    wt: 1:   5 Areas of Rectangles Revisited
  288.    wt: 1:   1 What is Proportionality
  289.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  290.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  291.    wt: 1:   5 Triangle Area Formula Backwards
  292.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  293.    wt: 1:   8 Coordinates for Maps and Planes
  294.    wt: 1:   4 Circle Area Formula Example
  295.    wt: 1:   3 Triangle Area Formula Example
  296.    wt: 1:   2 Another Rectangle Area Formula Example
  297.    wt: 1:   6 Three Notions of What is a Variable
  298.    wt: 1:   2 What is a Variable
  299.    wt: 1:   3 signed coordinates for maps and planes
  300.    wt: 1:   16 Addition Subtraction Comparision Compared
  301.    wt: 1:   1 What is a fraction Take II
  302.    wt: 1:   1 What is a fraction
  303.    wt: 1:   11 Efficient Square Rule Use
  304.    wt: 1:   10 video Prime Factorization upto 23 squared
  305.    wt: 1:   9 video Prime Factorization upto 19 squared
  306.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  307.    wt: 1:   5 Prime Factorization and a Square Rule
  308.    wt: 1:   1 video how Products are bigger than factor
  309.    wt: 1:   C Counting Areas with Powers of Ten
  310.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  311.    wt: 1:   8 What skills and work habits to require
  312.    wt: 1:   Example 2 volume of a cone
  313.    wt: 1:   Example 1 volume of a pyramid
  314.    wt: 1:   Volume of Solid by Cross Sections Lesson
  315.    wt: 1:   Example 4 with x function of y
  316.    wt: 1:   Example 3
  317.    wt: 1:   Example 2
  318.    wt: 1:   Example 1
  319.    wt: 1:   Summary
  320.    wt: 1:   5 Area Under Curve Exercise
  321.    wt: 1:   Chapter 23 Links To Trigonometry
  322.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  323.    wt: 1:   Chapter 18. Slopes Areas Integration
  324.    wt: 1:   Chapter 17. Area Approximation
  325.    wt: 1:   Appendix D. What to do in School and Why
  326.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  327.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  328.    wt: 1:   Postscript What is a Variable
  329.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  330.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  331.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  332.    wt: 1:   N Mathematics Prepare for College Studies
  333.    wt: 1:   C. Domino effect of being careful
  334.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  335.    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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