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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

35 matches:

  1.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   8 Unit Circle Trigonometry/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   12 Function Translating and Rescaling/
  8.    wt: 5:   11 Parallel Straight Lines and Transversals/
  9.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  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: 2:   1 Decimal Place Value/
  18.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  19.    wt: 1:   11 Squares and Square Roots/
  20.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  21.    wt: 1:   9 Combinatorics Trees Tables and Products/
  22.    wt: 1:   8 Arithmetic with Signed Numbers/
  23.    wt: 1:   7 Arithmetic and Fractions with Units/
  24.    wt: 1:   6 Fractions and Ratios/
  25.    wt: 1:   5 Integers/
  26.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 1:   3 Prime Factorization Skills/
  28.    wt: 1:   D Decimal Long Division Methods/
  29.    wt: 1:   C Decimal Multiplication Methods/
  30.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  31.    wt: 1:   A Decimal Counting and Adding Methods/
  32.    wt: 1:   2 Arithmetic with Decimals/
  33.    wt: 1:   Arithmetic and Number Theory Skills/
  34.    wt: 1:   Time Date Matters/
  35.    wt: 1:   Skills with take home value/

Web Page Search

92 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   Ages 12 to 14 Skills with take home value
  3.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  4.    wt: 2:   14 secant function Definition Graph and Inverse
  5.    wt: 2:   4 Angles on Maps Plans drawn to scale
  6.    wt: 2:   3 Lengths and Areas on Maps and Plans
  7.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  8.    wt: 1:   Applied Maths Program14092009 POMME variant
  9.    wt: 1:   About site lesson plans
  10.    wt: 1:   Operational Viewpoint to Value
  11.    wt: 1:   deux definitions pour variable
  12.    wt: 1:   14 Multiplication and Times Tables
  13.    wt: 1:   10 Ends values for work study instruction
  14.    wt: 1:   Ages 12 to 14 Geometry
  15.    wt: 1:   Ages 12 to 14 Arithmetic
  16.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  17.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  18.    wt: 1:   26 Function definitions done and coming
  19.    wt: 1:   14 Surjections Injections Bijections
  20.    wt: 1:   16 cotangent function Definition Graph and Inverse
  21.    wt: 1:   15 cosecant function Definition Graph and Inverse
  22.    wt: 1:   13 cosecant function Definition Graph and Inverse
  23.    wt: 1:   10 arctan left inverse of tangent Definition
  24.    wt: 1:   7 arcsin left inverse of sine Definition
  25.    wt: 1:   3 Left Inverse of cosine arccos definition
  26.    wt: 1:   2 Radian Measure Numerical Value of one degree
  27.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  28.    wt: 1:   13 Velocity Vectors in Physics
  29.    wt: 1:   8 Parallel Vectors
  30.    wt: 1:   6 Vectors with Coordinates
  31.    wt: 1:   3 Navigation with Arrows or Vectors
  32.    wt: 1:   14 Straight Lines Equations General Case
  33.    wt: 1:   17A The complex number valued trig function cis
  34.    wt: 1:   14 cosine even and sine and tangent are odd
  35.    wt: 1:   Unit Circle Development of Trigonometry
  36.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  37.    wt: 1:   14 Law of cosines
  38.    wt: 1:   9 The complex number valued trig function cis
  39.    wt: 1:   8 Unit Circle Development of Trigonometry
  40.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  41.    wt: 1:   Why Trigonometry the whyslopes view
  42.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  43.    wt: 1:   4 Similarity Definition with Coordinate
  44.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  45.    wt: 1:   14 Parallel Lines Postulate
  46.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  47.    wt: 1:   6 Figuring with Maps Not to Scale
  48.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  49.    wt: 1:   19 Signed Multiples of Vectors
  50.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  51.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  52.    wt: 1:   13 Arrows and Vectors in a Plane
  53.    wt: 1:   14 Real Number Multiplication
  54.    wt: 1:   8 Coordinates for Maps and Planes
  55.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  56.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  57.    wt: 1:   3 signed coordinates for maps and planes
  58.    wt: 1:   14 Adding and Subtracting with Like Denominators
  59.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  60.    wt: 1:   14 video Factors of 24 Take II
  61.    wt: 1:   11 Place Value SI Standard International way
  62.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  63.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  64.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  65.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  66.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  67.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  68.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  69.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  70.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  71.    wt: 1:   014 Counting Days with Calendars
  72.    wt: 1:   14 sine and cosine derivatives 2nd step
  73.    wt: 1:   3 Motivation for Limit Definition Take 2
  74.    wt: 1:   2 Motivation for Limit Definition Take 1
  75.    wt: 1:   10 Three one sided limits with infinite values
  76.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  77.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  78.    wt: 1:   F.5b Extreme Value Theorem
  79.    wt: 1:   F.3 Intermediate Value Theorem
  80.    wt: 1:   Chapter 23 Links To Trigonometry
  81.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  82.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  83.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  84.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  85.    wt: 1:   L Skills with take home value
  86.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  87.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  88.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  89.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  90.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  91.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  92.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Extended Search

515 matches:

  1.    wt: 9:   4 Angles on Maps Plans drawn to scale
  2.    wt: 9:   3 Lengths and Areas on Maps and Plans
  3.    wt: 8:   2 Radian Measure Numerical Value of one degree
  4.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  5.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  6.    wt: 8:   6 Figuring with Maps Not to Scale
  7.    wt: 7:   14 secant function Definition Graph and Inverse
  8.    wt: 7:   9 Summary Degrees to Radians and back
  9.    wt: 7:   8 Radian Measures of Common Angles
  10.    wt: 7:   7 Radian Measures in special Triangles
  11.    wt: 7:   6 Radian Measure to Degrees
  12.    wt: 7:   5 Degrees to Radian Measure
  13.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  14.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  15.    wt: 7:   1 Degrees and Radians Introduction
  16.    wt: 7:   13 Velocity Vectors in Physics
  17.    wt: 7:   8 Parallel Vectors
  18.    wt: 7:   6 Vectors with Coordinates
  19.    wt: 7:   3 Navigation with Arrows or Vectors
  20.    wt: 7:   17A The complex number valued trig function cis
  21.    wt: 7:   16 Right Triangle Complementary Angle Relations
  22.    wt: 7:   14 cosine even and sine and tangent are odd
  23.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  24.    wt: 7:   Unit Circle Development of Trigonometry
  25.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  26.    wt: 7:   14 Law of cosines
  27.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  28.    wt: 7:   Why Trigonometry the whyslopes view
  29.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  30.    wt: 7:   14 Parallel Lines Postulate
  31.    wt: 7:   A Measurement with Ruler Proper Use
  32.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  33.    wt: 7:   2 Measuring Area Directly
  34.    wt: 7:   1 Length Measurement
  35.    wt: 6:   16 cotangent function Definition Graph and Inverse
  36.    wt: 6:   15 cosecant function Definition Graph and Inverse
  37.    wt: 6:   13 cosecant function Definition Graph and Inverse
  38.    wt: 6:   10 arctan left inverse of tangent Definition
  39.    wt: 6:   7 arcsin left inverse of sine Definition
  40.    wt: 6:   4 possible motivation for term arccos
  41.    wt: 6:   3 Left Inverse of cosine arccos definition
  42.    wt: 6:   A Global Time and Navigation
  43.    wt: 6:   15 Dot and Cross Product
  44.    wt: 6:   12 From Applied To Pure Mathematics
  45.    wt: 6:   11 Component Method
  46.    wt: 6:   10 Parallelogram Addition Method
  47.    wt: 6:   9 Head to Tail Coordinate View
  48.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  49.    wt: 6:   5 Head To Tail Arrow Addition
  50.    wt: 6:   4 Resultant of a Sum of Movements
  51.    wt: 6:   2 Signed Coordinates
  52.    wt: 6:   1 Unsigned Coordinates
  53.    wt: 6:   Vector and Complex Number Applet
  54.    wt: 6:   14 Straight Lines Equations General Case
  55.    wt: 6:   17 tangent function angle sum formulas
  56.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  57.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  58.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  59.    wt: 6:   32 seven rows of pascals triangle
  60.    wt: 6:   31 basic secant cosecant cotangent trig identities
  61.    wt: 6:   30 unit circle calculation of six trigonometric functions
  62.    wt: 6:   29 secant cosecant and cotangent for acute angles
  63.    wt: 6:   28 Expressing products of sines cosines as sums
  64.    wt: 6:   27 Logarithmic use of products of sines and cosines
  65.    wt: 6:   26 Formulas for products of sines and cosines
  66.    wt: 6:   25 tangent double angle formula Slope connection
  67.    wt: 6:   24 tangent Angle Difference Formula
  68.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  69.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  70.    wt: 6:   21 sine and cosine Half Angle Formulas
  71.    wt: 6:   20 sine and cosine Double Angle Formulas
  72.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  73.    wt: 6:   18 sum of sinusoidal waves as a single wave
  74.    wt: 6:   17G Pythagorean Theorem Converse
  75.    wt: 6:   17F Law of cosines
  76.    wt: 6:   17E Trig Formulas for dot and cross Products
  77.    wt: 6:   17D cis formulas for sine cosines and tangent
  78.    wt: 6:   17C sine and cosine double triple angle formulas
  79.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  80.    wt: 6:   15 sine cosine Complementary Angle Relations
  81.    wt: 6:   13 Graph of tangent function many periods
  82.    wt: 6:   12 Graph of tangent function for one period
  83.    wt: 6:   11 tangent function undefined when terminal side vertical
  84.    wt: 6:   10 Graphs of sines and cosines many periods
  85.    wt: 6:   9 Graphs of sine and cosine over one period
  86.    wt: 6:   8 period of tangent function
  87.    wt: 6:   7 period of sine and cosine
  88.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  89.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  90.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  91.    wt: 6:   2 Quadrant I reference Angles
  92.    wt: 6:   1 Unit Points Reflections Rotations
  93.    wt: 6:   9 The complex number valued trig function cis
  94.    wt: 6:   8 Unit Circle Development of Trigonometry
  95.    wt: 6:   8 Triangles Cascade Problem Solving
  96.    wt: 6:   7 Trignometric Ratios Unit Circle
  97.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  98.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  99.    wt: 6:   3 Trigonometric Ratios sine and cosine
  100.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  101.    wt: 6:   1 Angle Measurement with Degrees
  102.    wt: 6:   8 Similarity of Triangles and Polygons
  103.    wt: 6:   4 Similarity Definition with Coordinate
  104.    wt: 6:   Four Simple Exercises
  105.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  106.    wt: 5:   12 motivation for term arctan
  107.    wt: 5:   11 arctan left inverse of tangent Graph
  108.    wt: 5:   9 motivation for name arcsin
  109.    wt: 5:   8 arcsin left inverse of sine Graph
  110.    wt: 5:   6 Graph of arccos function
  111.    wt: 5:   5 Swapping Coordinates is a reflection
  112.    wt: 5:   2 cosine function more properties
  113.    wt: 5:   1 cosine function properties
  114.    wt: 5:   4 graphing y=Asin(x c)
  115.    wt: 5:   3 graphing y=f(x c) plus K
  116.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  117.    wt: 5:   1 graphing y=f(x a)
  118.    wt: 5:   Parallel Lines and Parallel Transversals
  119.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  120.    wt: 5:   Triangle Angles Sum To 180 Degrees
  121.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  122.    wt: 5:   Parallel Lines and Interior Angles
  123.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  124.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  125.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  126.    wt: 5:   Straight Lines ASA Intersection Study More
  127.    wt: 5:   Straight Lines ASA Intersection Study
  128.    wt: 5:   Straight Lines Instersection Solving Equations
  129.    wt: 5:   Straight Lines Intersection of
  130.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  131.    wt: 5:   C Straight Lines Slope from Coordinates
  132.    wt: 5:   B Straight Line Slope Scaling Properties More
  133.    wt: 5:   A Straight Line Slope Scaling Properties
  134.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  135.    wt: 5:   12 Straight Lines Graphing mx plus b
  136.    wt: 5:   11 Straight Lines Graphing y=mx
  137.    wt: 5:   10 Straight Lines through Origin Equations More
  138.    wt: 5:   9 Straight Lines through Origin Equations
  139.    wt: 5:   8 Straight Lines Equation for vertical
  140.    wt: 5:   7 Tangent Function is odd on this domain
  141.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  142.    wt: 5:   5 Tangent Function Graph
  143.    wt: 5:   4 Tangent Function Properties
  144.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  145.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  146.    wt: 5:   1 Straight Lines Slope Concept
  147.    wt: 5:   21 Logarithms Powers and Exponentials
  148.    wt: 5:   20 N th Roots of Complex Numbers
  149.    wt: 5:   19 N th Roots of Unity
  150.    wt: 5:   18 Sixth Roots of Unity
  151.    wt: 5:   17 Cube Roots of unity
  152.    wt: 5:   16 References and Originality Question
  153.    wt: 5:   15 Pythagorean Theorem Converse
  154.    wt: 5:   13 Trig Formulas for dot and cross Products
  155.    wt: 5:   12 cis formulas for sine cosines and tangent
  156.    wt: 5:   11 sine and cosine double triple angle formulas
  157.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  158.    wt: 5:   7 Second Way to Calculate Products
  159.    wt: 5:   6 Field Properties of Complex Number
  160.    wt: 5:   5 An Easy Proof of the Distributive Law
  161.    wt: 5:   4 Multiplication Properties
  162.    wt: 5:   3 Addition Properties
  163.    wt: 5:   2 Complex Numbers made easier we hope
  164.    wt: 5:   1 Rectangular Polar Coordinates Review
  165.    wt: 5:   Appetizer A Complex Number Applet
  166.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  167.    wt: 5:   12 Triangles Similarity More Problems
  168.    wt: 5:   11 Triangle Similarity Missing Side Problem
  169.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  170.    wt: 5:   9 Similarity of Triangles Usual Criteria
  171.    wt: 5:   7 Translations Rotations Reflections Dilatations
  172.    wt: 5:   6 Geometric Diagrams in Class
  173.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  174.    wt: 5:   3 Similarity by Design with coordinates
  175.    wt: 5:   2 Similarity By Design
  176.    wt: 5:   1 Early Concept of Like or Similar Shapes
  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:   What is and is not here
  190.    wt: 5:   13 Pythagorean spatial distance formulas
  191.    wt: 5:   12 Spatial Coordinates
  192.    wt: 5:   11 Triangle Inequality
  193.    wt: 5:   10 Pythagorean plane distance formula
  194.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  195.    wt: 5:   8 Distance Between Points on a Line
  196.    wt: 5:   7 Complex Numbers Appetizer
  197.    wt: 5:   6 Polar Multiplication and Rotation
  198.    wt: 5:   5 Cartesian Addition and Translation
  199.    wt: 5:   4 Polar Coordinates to and from
  200.    wt: 5:   3 Rectangular Coordinates Review
  201.    wt: 5:   2 Cartesian Coordinates with signs
  202.    wt: 5:   1 Cartesian Coordinates sans signs
  203.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  204.    wt: 5:   PS H Distributive Law For Complex Numbers
  205.    wt: 5:   PS G Rotation Distributes over Addition
  206.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  207.    wt: 5:   PS E Multiplication with Polar Coordinates
  208.    wt: 5:   PS D Addition with Cartesian Coordinates
  209.    wt: 5:   PS B Parallelogram Construction Methods
  210.    wt: 5:   PS A Kite Construction Methods
  211.    wt: 5:   21 Parallelograms
  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:   13 Angle Side Angle Failure
  218.    wt: 5:   12 Side Angle Side Failure
  219.    wt: 5:   11 Triangle Construction Fails
  220.    wt: 5:   10 Dropping a perpendicular to line
  221.    wt: 5:   9 Construction of a right bisector
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   7 Angle Side Angle
  224.    wt: 5:   6 Ruler and compass Angle Bisection
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   1 Initial Concepts and Terms
  230.    wt: 5:   Short Course on Euclidean Geometry
  231.    wt: 5:   About Folder Contents
  232.    wt: 3:   14 video Factors of 24 Take II
  233.    wt: 3:   11 Place Value SI Standard International way
  234.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  235.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  236.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  237.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  238.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  239.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  240.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  241.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  242.    wt: 2:   Maps Plans Drawings
  243.    wt: 2:   14 Multiplication and Times Tables
  244.    wt: 2:   Ages 12 to 14 Skills with take home value
  245.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  246.    wt: 2:   14 Surjections Injections Bijections
  247.    wt: 2:   1 Squares and Square Roots Introduction
  248.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  249.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  250.    wt: 2:   3 signed coordinates for maps and planes
  251.    wt: 2:   14 Adding and Subtracting with Like Denominators
  252.    wt: 2:   B Integer Long Division Multiple Choices
  253.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  254.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  255.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  256.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  257.    wt: 2:   014 Counting Days with Calendars
  258.    wt: 2:   F.5b Extreme Value Theorem
  259.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  260.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  261.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  262.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  263.    wt: 1:   Skills Chapter 4 Logic
  264.    wt: 1:   Applied Maths Program14092009 POMME variant
  265.    wt: 1:   About site lesson plans
  266.    wt: 1:   modern education
  267.    wt: 1:   how letters appear
  268.    wt: 1:   Operational Viewpoint to Value
  269.    wt: 1:   deux definitions pour variable
  270.    wt: 1:   B Wire Resistance Qualitative02
  271.    wt: 1:   10 Ends values for work study instruction
  272.    wt: 1:   Ages 12 to 14 Geometry
  273.    wt: 1:   Ages 12 to 14 Arithmetic
  274.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  275.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  276.    wt: 1:   26 Function definitions done and coming
  277.    wt: 1:   A Modular and Remainder Arithmetic
  278.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  279.    wt: 1:   19 Signed Multiples of Vectors
  280.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  281.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  282.    wt: 1:   13 Arrows and Vectors in a Plane
  283.    wt: 1:   14 Real Number Multiplication
  284.    wt: 1:   8 Coordinates for Maps and Planes
  285.    wt: 1:   arithmetic videos Real Player Format
  286.    wt: 1:   4 Greater More Less Than Signs in General
  287.    wt: 1:   3 Comparison of Negative Numbers
  288.    wt: 1:   2 More and Less Than with Unlike Signs
  289.    wt: 1:   1 More and Less Than for Counts and Measures
  290.    wt: 1:   5 Square Roots with primes more still
  291.    wt: 1:   4 Square Roots with primes more
  292.    wt: 1:   3 Properties of Square Roots with example
  293.    wt: 1:   2 Square Roots with Prime
  294.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  295.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  296.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  297.    wt: 1:   13 GCD from given Prime Factorization
  298.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  299.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  300.    wt: 1:   8 GCD from Euclidean Algorithm
  301.    wt: 1:   7 GCD and LCM from prime factorization
  302.    wt: 1:   6 GCD from Prime
  303.    wt: 1:   5 Common Divisors 60 45 via Prime
  304.    wt: 1:   4 LCM of 8 and 10 via Prime
  305.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  306.    wt: 1:   2 Least Common Multiple LCM intro via list method
  307.    wt: 1:   1 Least Common Multiples LCM Introduction
  308.    wt: 1:   12 GCD 2700 288 via Prime
  309.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  310.    wt: 1:   4 Counting with Trees Product Rule Take I
  311.    wt: 1:   3 Counting with Tables and Trees II
  312.    wt: 1:   2 Counting with Tables and Trees I
  313.    wt: 1:   1 Counting and Counting Methods I
  314.    wt: 1:   11 What are real lengths and numbers
  315.    wt: 1:   10 dividing signed numbers
  316.    wt: 1:   9 subtracting signed numbers
  317.    wt: 1:   8 multiplying signed numbers
  318.    wt: 1:   7 negative and additive inverse
  319.    wt: 1:   6 adding signed numbers
  320.    wt: 1:   5 lengths and signs of numbers
  321.    wt: 1:   4 signed coordinates for regions in space
  322.    wt: 1:   2 signed and unsigned numbers as coordinates
  323.    wt: 1:   7 Converting or Changing Units
  324.    wt: 1:   6 Simplification of Fractions with Units
  325.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  326.    wt: 1:   4 Fractions with Units
  327.    wt: 1:   3 Multiplying Units and Numbers
  328.    wt: 1:   2 Equality and Units
  329.    wt: 1:   1 Addition and Subtraction with Units
  330.    wt: 1:   D Three Term Ratios
  331.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  332.    wt: 1:   B Fractions and Two Term Ratios
  333.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  334.    wt: 1:   22 Complex Compound Fractions
  335.    wt: 1:   21 Working With Signs
  336.    wt: 1:   21 Reciprocals for Fractions and Wholes
  337.    wt: 1:   20 Dividing Fractions the Why
  338.    wt: 1:   19 Dividing Fractions How TO
  339.    wt: 1:   18 Efficient Ways to Multiply
  340.    wt: 1:   17 Efficient Ways to Add and Subtract
  341.    wt: 1:   16 Addition Subtraction Comparision Compared
  342.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  343.    wt: 1:   13 Fraction Comparison Algebraic View
  344.    wt: 1:   12 Fraction Comparison
  345.    wt: 1:   11 Simplification an Algebraic View
  346.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  347.    wt: 1:   9 Improper Fractions and Mixed Numbers
  348.    wt: 1:   8 Numerals Fractionals Quantals Take II
  349.    wt: 1:   7 Numerals Fractionals Quantals
  350.    wt: 1:   6 Multiplication of Mixed Numbers
  351.    wt: 1:   6 Multiplication Algebraically Take II
  352.    wt: 1:   5 Equivalent Fractions
  353.    wt: 1:   4 Fraction Multiplication
  354.    wt: 1:   3 Unit fraction of a fraction
  355.    wt: 1:   2 Unit Fraction Multiplication
  356.    wt: 1:   1 What is a fraction Take II
  357.    wt: 1:   1 What is a fraction
  358.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  359.    wt: 1:   D Remainders Modulo 11 Pair Rule
  360.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  361.    wt: 1:   A Associative Law Theorectical Note
  362.    wt: 1:   13 Subtraction with Additive Inverse
  363.    wt: 1:   12 Adding Integers More Examples
  364.    wt: 1:   11 Adding Integers Formulas and Examples
  365.    wt: 1:   10 Integer Multiplication Formulas
  366.    wt: 1:   9 Multiplying Integers
  367.    wt: 1:   8 Multiplication by Signed Numbers Integers
  368.    wt: 1:   7 Multiplication by Signs
  369.    wt: 1:   6 Multiplication by Natural Numbers
  370.    wt: 1:   5 Zero Movement and Additive Inverses
  371.    wt: 1:   4 Adding Movements wiht opposite directions
  372.    wt: 1:   3 Adding Movements with same direction
  373.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  374.    wt: 1:   1 Integers as Coordinates
  375.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  376.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  377.    wt: 1:   26 Divisibility by 2 3 5 Example
  378.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  379.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  380.    wt: 1:   23 Remainder Arithmetic Modulo 2
  381.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  382.    wt: 1:   21 Remainder Arithmetic Modulo 3
  383.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  384.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  385.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  386.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  387.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  388.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  389.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  390.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  391.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  392.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  393.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  394.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  395.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  396.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  397.    wt: 1:   5 Remainder Arithmetic Modulo 5
  398.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  399.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  400.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  401.    wt: 1:   1 Remainder Arithmetic Modulo 10
  402.    wt: 1:   20 Uniqueness of Prime Factorization
  403.    wt: 1:   19 video Prime Factorization Unique
  404.    wt: 1:   18 video Count Factors given Prime Factorization
  405.    wt: 1:   17 Identify and Count Factors using Primes
  406.    wt: 1:   16 video Factors of 980 using prime
  407.    wt: 1:   15 video Factors of 20 using Prime Factorization
  408.    wt: 1:   13 video Factors of 24 using prime
  409.    wt: 1:   12 LCD GCD and LCM using Primes
  410.    wt: 1:   11 Efficient Square Rule Use
  411.    wt: 1:   10 video Prime Factorization upto 23 squared
  412.    wt: 1:   9 video Prime Factorization upto 19 squared
  413.    wt: 1:   8 video Prime Factorization upto 19
  414.    wt: 1:   7 Calculator Usage Notes and Cautions
  415.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  416.    wt: 1:   5 Prime Factorization and a Square Rule
  417.    wt: 1:   4 video Prime Factorization Introduction
  418.    wt: 1:   3 video Primes and Composites from 9 times table
  419.    wt: 1:   2 Prime and Composites less than 16
  420.    wt: 1:   1 video how Products are bigger than factor
  421.    wt: 1:   Long Division Backwards more
  422.    wt: 1:   Long Division Backward
  423.    wt: 1:   Division with Counts and Length
  424.    wt: 1:   Long Division forwards and backwards Example 3
  425.    wt: 1:   Long Division forwards and backwards Example 2
  426.    wt: 1:   Long Division forwards and backwards Example 1
  427.    wt: 1:   12 Why Long Division Works Take III
  428.    wt: 1:   11 Another Single Digit Divisor Example
  429.    wt: 1:   10 Division by Five Long and Short Ways
  430.    wt: 1:   9 Why Long Division Works Take II
  431.    wt: 1:   8 Correcting the Mistake
  432.    wt: 1:   7 Long Divison Mistake Catching
  433.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  434.    wt: 1:   5 Long Division Include Zeroes or not
  435.    wt: 1:   4 Division with 2 Digit Divsors
  436.    wt: 1:   3 Division Single Digit Divisor Example
  437.    wt: 1:   2 Division with Single Digit Divisors
  438.    wt: 1:   1 Divsion Physical Examples
  439.    wt: 1:   D Decimal Multiplication Methods Derived
  440.    wt: 1:   C Counting Areas with Powers of Ten
  441.    wt: 1:   B Powers of Ten
  442.    wt: 1:   A Elementary Basis for Multiplication Methods
  443.    wt: 1:   6 Multiplication Commutes Order Not Important
  444.    wt: 1:   5 Decimal Fraction Multiplication
  445.    wt: 1:   4 Two and Three Digit Multipliers
  446.    wt: 1:   3 More One Digit Multipliers
  447.    wt: 1:   2 One Digit Multipliers
  448.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  449.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  450.    wt: 1:   Video Power Notation in Decimal Expansion
  451.    wt: 1:   1 Why 3 times 5 gives 15
  452.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  453.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  454.    wt: 1:   Subtraction with J Conversions Example
  455.    wt: 1:   Subtraction Another Video Lesson
  456.    wt: 1:   9 22 Minute Subtraction Review Video
  457.    wt: 1:   8 Subtraction with Units of Measure
  458.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  459.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  460.    wt: 1:   5 A Tip for Efficent Subtraction
  461.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  462.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  463.    wt: 1:   2 Subtraction Easy Case Examples
  464.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  465.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  466.    wt: 1:   8 What skills and work habits to require
  467.    wt: 1:   7 Adding decimal fractions using decimal point
  468.    wt: 1:   6. Counting and adding units and mixed units
  469.    wt: 1:   5. How to add decimals C. Examples
  470.    wt: 1:   4. How to add with decimals B with conversions
  471.    wt: 1:   3. How to add with decimals A sans conversions
  472.    wt: 1:   2 Decimal Counting Practices
  473.    wt: 1:   1. Explaining Addition Table
  474.    wt: 1:   Quick history of numbers and algebra
  475.    wt: 1:   Exact Arithmetic Wholes and Fractions
  476.    wt: 1:   Formula Evaluation how to show work
  477.    wt: 1:   Expression Evaluation how to show work
  478.    wt: 1:   The 20 Times Table
  479.    wt: 1:   The 12 Times Table Visually
  480.    wt: 1:   About folder contents
  481.    wt: 1:   016 Numbering Occidental Calendar Days
  482.    wt: 1:   015 School and work day counting tables
  483.    wt: 1:   013 Travel Time Tables
  484.    wt: 1:   012 Division of Time Intervals by Time Intervals
  485.    wt: 1:   011 Division of Time Intervals By Numbers
  486.    wt: 1:   010 Repeated Addition of Time Intervals
  487.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  488.    wt: 1:   8 Addition of Time Intervals via subtotaling
  489.    wt: 1:   7 Addition of Time Intervals
  490.    wt: 1:   6 How long is a million seconds
  491.    wt: 1:   5 Conversion Arithmetic
  492.    wt: 1:   4 Mixing and Changing Units of Time
  493.    wt: 1:   3 Units and Lengths of Time
  494.    wt: 1:   2 Time and Date Matters in School
  495.    wt: 1:   1 Intro of Kids To Time Date Skills
  496.    wt: 1:   14 sine and cosine derivatives 2nd step
  497.    wt: 1:   3 Motivation for Limit Definition Take 2
  498.    wt: 1:   2 Motivation for Limit Definition Take 1
  499.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  500.    wt: 1:   10 Three one sided limits with infinite values
  501.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  502.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  503.    wt: 1:   F.3 Intermediate Value Theorem
  504.    wt: 1:   Chapter 23 Links To Trigonometry
  505.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  506.    wt: 1:   Postscript B Mathematics Education References
  507.    wt: 1:   N Mathematics Prepare for College Studies
  508.    wt: 1:   L Skills with take home value
  509.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  510.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  511.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  512.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  513.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  514.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  515.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.