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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27 matches:

  1.    wt: 8:   13 Vectors/
  2.    wt: 7:   4 Lines and Slopes Take 1/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 6:   12 Function Translating and Rescaling/
  6.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  7.    wt: 6:   8 Unit Circle Trigonometry/
  8.    wt: 6:   6 Trigonometry first steps/
  9.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  10.    wt: 5:   11 Parallel Straight Lines and Transversals/
  11.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  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:   4 Functions/
  18.    wt: 2:   4 Computation Rules and Function Notation/
  19.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  20.    wt: 1:   Step 4 Gaussian Elimination/
  21.    wt: 1:   D Decimal Long Division Methods/
  22.    wt: 1:   5 Lessons on Integration/
  23.    wt: 1:   4 Lessons on Using Derivatives/
  24.    wt: 1:   13 Lessons on Limits and Continuity/
  25.    wt: 1:   Volume 2 Three Skills For Algebra/
  26.    wt: 1:   Secondary Mathematics A Practical Approach/
  27.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

123 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   chapitre 04 04 Parlons de la logique
  3.    wt: 2:   13 cosecant function Definition Graph and Inverse
  4.    wt: 2:   2 cosine function more properties
  5.    wt: 2:   1 cosine function properties
  6.    wt: 2:   13 Velocity Vectors in Physics
  7.    wt: 2:   4 Tangent Function Properties
  8.    wt: 2:   13 Graph of tangent function many periods
  9.    wt: 2:   4 Angles on Maps Plans drawn to scale
  10.    wt: 2:   3 Lengths and Areas on Maps and Plans
  11.    wt: 2:   13 Arrows and Vectors in a Plane
  12.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  13.    wt: 1:   About site lesson plans
  14.    wt: 1:   05 13 OldSiteEntrancePage
  15.    wt: 1:   04 29 New Mathematics Curriculum
  16.    wt: 1:   04 25 when to stop or suspend mathemat
  17.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  18.    wt: 1:   chapitre 04 09 Regles accidentelles
  19.    wt: 1:   chapitre 04 08 Limitations et benefices
  20.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  21.    wt: 1:   chapitre 04 06 engagements
  22.    wt: 1:   chapitre 04 05 Implication versus suggestion
  23.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  24.    wt: 1:   chapitre 04 02 Deuxieme enigme
  25.    wt: 1:   chapitre 04 01 Premiere enigme
  26.    wt: 1:   chapitre 04 00 Les regles d implication
  27.    wt: 1:   D Energy Power04
  28.    wt: 1:   F Wire Resistance Calculation04
  29.    wt: 1:   13 Addition and Addition Tables
  30.    wt: 1:   26 Function definitions done and coming
  31.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  32.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  33.    wt: 1:   23 Inverse Functions
  34.    wt: 1:   22 Square Root function graphically
  35.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  36.    wt: 1:   17 Function maxima minima and their location
  37.    wt: 1:   15 Sign analysis of functions
  38.    wt: 1:   13 From one to one to many to one
  39.    wt: 1:   12 Function Domain Recognition Exercises
  40.    wt: 1:   11 Function Domain Range Source and Targets
  41.    wt: 1:   8 Set view of relations and functions
  42.    wt: 1:   7 Functions with finite domains
  43.    wt: 1:   5 Function notation for geometric transformations
  44.    wt: 1:   4 Function notation in and beyond mathematics
  45.    wt: 1:   3 Formula or function graphing exercise
  46.    wt: 1:   2 Algebraic use of function notation
  47.    wt: 1:   1 Geometric Introduction of Function Notation
  48.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  49.    wt: 1:   Rewriting algebraic substitution as function substitutions
  50.    wt: 1:   16 cotangent function Definition Graph and Inverse
  51.    wt: 1:   15 cosecant function Definition Graph and Inverse
  52.    wt: 1:   14 secant function Definition Graph and Inverse
  53.    wt: 1:   6 Graph of arccos function
  54.    wt: 1:   8 Parallel Vectors
  55.    wt: 1:   6 Vectors with Coordinates
  56.    wt: 1:   3 Navigation with Arrows or Vectors
  57.    wt: 1:   B Straight Line Slope Scaling Properties More
  58.    wt: 1:   A Straight Line Slope Scaling Properties
  59.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  60.    wt: 1:   7 Tangent Function is odd on this domain
  61.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  62.    wt: 1:   5 Tangent Function Graph
  63.    wt: 1:   17 tangent function angle sum formulas
  64.    wt: 1:   30 unit circle calculation of six trigonometric functions
  65.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  66.    wt: 1:   17A The complex number valued trig function cis
  67.    wt: 1:   12 Graph of tangent function for one period
  68.    wt: 1:   11 tangent function undefined when terminal side vertical
  69.    wt: 1:   8 period of tangent function
  70.    wt: 1:   Unit Circle Development of Trigonometry
  71.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  72.    wt: 1:   13 Trig Formulas for dot and cross Products
  73.    wt: 1:   9 The complex number valued trig function cis
  74.    wt: 1:   8 Unit Circle Development of Trigonometry
  75.    wt: 1:   6 Field Properties of Complex Number
  76.    wt: 1:   4 Multiplication Properties
  77.    wt: 1:   3 Addition Properties
  78.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  79.    wt: 1:   Why Trigonometry the whyslopes view
  80.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  81.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  82.    wt: 1:   13 Pythagorean spatial distance formulas
  83.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  84.    wt: 1:   13 Angle Side Angle Failure
  85.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  86.    wt: 1:   6 Figuring with Maps Not to Scale
  87.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  88.    wt: 1:   19 Signed Multiples of Vectors
  89.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  90.    wt: 1:   11 Signed Number Addition and Addition Properties
  91.    wt: 1:   13 Real Number Subtraction
  92.    wt: 1:   8 Coordinates for Maps and Planes
  93.    wt: 1:   3 Geometric Formulas and Function Notation
  94.    wt: 1:   1 Formulas Dependence and Function Notation
  95.    wt: 1:   13 Naming Identifying Formulas with Words
  96.    wt: 1:   3 Properties of Square Roots with example
  97.    wt: 1:   13 GCD from given Prime Factorization
  98.    wt: 1:   3 signed coordinates for maps and planes
  99.    wt: 1:   13 Fraction Comparison Algebraic View
  100.    wt: 1:   13 Subtraction with Additive Inverse
  101.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  102.    wt: 1:   13 video Factors of 24 using prime
  103.    wt: 1:   013 Travel Time Tables
  104.    wt: 1:   Example 4 with x function of y
  105.    wt: 1:   34 Derivative of exponential function
  106.    wt: 1:   31 Derivatives of inverse functions
  107.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  108.    wt: 1:   26 Chain Rule Recognising outer inner functions
  109.    wt: 1:   19 Chain Rule for linear functions
  110.    wt: 1:   13 sine and cosine derivatives 1st step
  111.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  112.    wt: 1:   4 Numerical properties
  113.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  114.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  115.    wt: 1:   F.1 What Functions are Continuous
  116.    wt: 1:   E2 Algebraic Properties of Limits
  117.    wt: 1:   Chapter 23 Links To Trigonometry
  118.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  119.    wt: 1:   Chapter 13. Acceleration
  120.    wt: 1:   Chapter 19. Functions and Sets
  121.    wt: 1:   Chapter 13. Second Reading Guide
  122.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  123.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

508 matches:

  1.    wt: 9:   8 Parallel Vectors
  2.    wt: 9:   6 Vectors with Coordinates
  3.    wt: 9:   5 Head To Tail Arrow Addition
  4.    wt: 9:   3 Navigation with Arrows or Vectors
  5.    wt: 9:   4 Equations for lines three forms
  6.    wt: 9:   3 Lengths and Areas on Maps and Plans
  7.    wt: 8:   13 cosecant function Definition Graph and Inverse
  8.    wt: 8:   2 cosine function more properties
  9.    wt: 8:   1 cosine function properties
  10.    wt: 8:   A Global Time and Navigation
  11.    wt: 8:   15 Dot and Cross Product
  12.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  13.    wt: 8:   12 From Applied To Pure Mathematics
  14.    wt: 8:   11 Component Method
  15.    wt: 8:   10 Parallelogram Addition Method
  16.    wt: 8:   9 Head to Tail Coordinate View
  17.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  18.    wt: 8:   2 Signed Coordinates
  19.    wt: 8:   1 Unsigned Coordinates
  20.    wt: 8:   Vector and Complex Number Applet
  21.    wt: 8:   4 Tangent Function Properties
  22.    wt: 8:   32 seven rows of pascals triangle
  23.    wt: 8:   13 Graph of tangent function many periods
  24.    wt: 8:   4 Multiplication Properties
  25.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  26.    wt: 8:   6 Figuring with Maps Not to Scale
  27.    wt: 7:   16 cotangent function Definition Graph and Inverse
  28.    wt: 7:   15 cosecant function Definition Graph and Inverse
  29.    wt: 7:   14 secant function Definition Graph and Inverse
  30.    wt: 7:   6 Graph of arccos function
  31.    wt: 7:   3 Left Inverse of cosine arccos definition
  32.    wt: 7:   4 graphing y=Asin(x c)
  33.    wt: 7:   B Straight Line Slope Scaling Properties More
  34.    wt: 7:   A Straight Line Slope Scaling Properties
  35.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  36.    wt: 7:   7 Tangent Function is odd on this domain
  37.    wt: 7:   6 Tangent Function Inclination Angle Take 2
  38.    wt: 7:   5 Tangent Function Graph
  39.    wt: 7:   17 tangent function angle sum formulas
  40.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  41.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  42.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  43.    wt: 7:   31 basic secant cosecant cotangent trig identities
  44.    wt: 7:   30 unit circle calculation of six trigonometric functions
  45.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  46.    wt: 7:   17A The complex number valued trig function cis
  47.    wt: 7:   15 sine cosine Complementary Angle Relations
  48.    wt: 7:   12 Graph of tangent function for one period
  49.    wt: 7:   11 tangent function undefined when terminal side vertical
  50.    wt: 7:   8 period of tangent function
  51.    wt: 7:   7 period of sine and cosine
  52.    wt: 7:   Unit Circle Development of Trigonometry
  53.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  54.    wt: 7:   13 Trig Formulas for dot and cross Products
  55.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  56.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  57.    wt: 7:   Why Trigonometry the whyslopes view
  58.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  59.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  60.    wt: 7:   Four Simple Exercises
  61.    wt: 7:   12 Links Lessons elsewhere
  62.    wt: 7:   11 A Partial Summary
  63.    wt: 7:   10 Midpoint of [a b] and [b a]
  64.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  65.    wt: 7:   8 Mid Point Formula
  66.    wt: 7:   7 Exercises to test skill and concept mastery
  67.    wt: 7:   6 Intersection of lines by solving linear systems
  68.    wt: 7:   5 Algebraic View of Slopes
  69.    wt: 7:   3 Slope product for perpendicular lines
  70.    wt: 7:   2 point slope equation for a line
  71.    wt: 7:   1 Numerical view of lines and their equations
  72.    wt: 7:   What is and is not here
  73.    wt: 7:   13 Pythagorean spatial distance formulas
  74.    wt: 7:   4 Polar Coordinates to and from
  75.    wt: 7:   13 Angle Side Angle Failure
  76.    wt: 7:   4 Side Side Side
  77.    wt: 7:   A Measurement with Ruler Proper Use
  78.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  79.    wt: 7:   2 Measuring Area Directly
  80.    wt: 7:   1 Length Measurement
  81.    wt: 6:   12 motivation for term arctan
  82.    wt: 6:   11 arctan left inverse of tangent Graph
  83.    wt: 6:   10 arctan left inverse of tangent Definition
  84.    wt: 6:   9 motivation for name arcsin
  85.    wt: 6:   8 arcsin left inverse of sine Graph
  86.    wt: 6:   7 arcsin left inverse of sine Definition
  87.    wt: 6:   5 Swapping Coordinates is a reflection
  88.    wt: 6:   4 possible motivation for term arccos
  89.    wt: 6:   3 graphing y=f(x c) plus K
  90.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  91.    wt: 6:   1 graphing y=f(x a)
  92.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  93.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  94.    wt: 6:   Straight Lines ASA Intersection Study More
  95.    wt: 6:   Straight Lines ASA Intersection Study
  96.    wt: 6:   Straight Lines Instersection Solving Equations
  97.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  98.    wt: 6:   C Straight Lines Slope from Coordinates
  99.    wt: 6:   14 Straight Lines Equations General Case
  100.    wt: 6:   12 Straight Lines Graphing mx plus b
  101.    wt: 6:   11 Straight Lines Graphing y=mx
  102.    wt: 6:   10 Straight Lines through Origin Equations More
  103.    wt: 6:   9 Straight Lines through Origin Equations
  104.    wt: 6:   8 Straight Lines Equation for vertical
  105.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  106.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  107.    wt: 6:   1 Straight Lines Slope Concept
  108.    wt: 6:   29 secant cosecant and cotangent for acute angles
  109.    wt: 6:   28 Expressing products of sines cosines as sums
  110.    wt: 6:   27 Logarithmic use of products of sines and cosines
  111.    wt: 6:   26 Formulas for products of sines and cosines
  112.    wt: 6:   25 tangent double angle formula Slope connection
  113.    wt: 6:   24 tangent Angle Difference Formula
  114.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  115.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  116.    wt: 6:   21 sine and cosine Half Angle Formulas
  117.    wt: 6:   20 sine and cosine Double Angle Formulas
  118.    wt: 6:   18 sum of sinusoidal waves as a single wave
  119.    wt: 6:   17G Pythagorean Theorem Converse
  120.    wt: 6:   17F Law of cosines
  121.    wt: 6:   17E Trig Formulas for dot and cross Products
  122.    wt: 6:   17D cis formulas for sine cosines and tangent
  123.    wt: 6:   17C sine and cosine double triple angle formulas
  124.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  125.    wt: 6:   16 Right Triangle Complementary Angle Relations
  126.    wt: 6:   14 cosine even and sine and tangent are odd
  127.    wt: 6:   10 Graphs of sines and cosines many periods
  128.    wt: 6:   9 Graphs of sine and cosine over one period
  129.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  130.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  131.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  132.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  133.    wt: 6:   2 Quadrant I reference Angles
  134.    wt: 6:   1 Unit Points Reflections Rotations
  135.    wt: 6:   9 The complex number valued trig function cis
  136.    wt: 6:   8 Unit Circle Development of Trigonometry
  137.    wt: 6:   6 Field Properties of Complex Number
  138.    wt: 6:   3 Addition Properties
  139.    wt: 6:   8 Triangles Cascade Problem Solving
  140.    wt: 6:   7 Trignometric Ratios Unit Circle
  141.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  142.    wt: 6:   3 Trigonometric Ratios sine and cosine
  143.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  144.    wt: 6:   1 Angle Measurement with Degrees
  145.    wt: 6:   6 Geometric Diagrams in Class
  146.    wt: 6:   4 Similarity Definition with Coordinate
  147.    wt: 6:   3 Similarity by Design with coordinates
  148.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  149.    wt: 5:   4 Function notation in and beyond mathematics
  150.    wt: 5:   9 Summary Degrees to Radians and back
  151.    wt: 5:   8 Radian Measures of Common Angles
  152.    wt: 5:   7 Radian Measures in special Triangles
  153.    wt: 5:   6 Radian Measure to Degrees
  154.    wt: 5:   5 Degrees to Radian Measure
  155.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  156.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  157.    wt: 5:   2 Radian Measure Numerical Value of one degree
  158.    wt: 5:   1 Degrees and Radians Introduction
  159.    wt: 5:   Parallel Lines and Parallel Transversals
  160.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  161.    wt: 5:   Triangle Angles Sum To 180 Degrees
  162.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  163.    wt: 5:   Parallel Lines and Interior Angles
  164.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  165.    wt: 5:   Straight Lines Intersection of
  166.    wt: 5:   21 Logarithms Powers and Exponentials
  167.    wt: 5:   20 N th Roots of Complex Numbers
  168.    wt: 5:   19 N th Roots of Unity
  169.    wt: 5:   18 Sixth Roots of Unity
  170.    wt: 5:   17 Cube Roots of unity
  171.    wt: 5:   16 References and Originality Question
  172.    wt: 5:   15 Pythagorean Theorem Converse
  173.    wt: 5:   14 Law of cosines
  174.    wt: 5:   12 cis formulas for sine cosines and tangent
  175.    wt: 5:   11 sine and cosine double triple angle formulas
  176.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  177.    wt: 5:   7 Second Way to Calculate Products
  178.    wt: 5:   5 An Easy Proof of the Distributive Law
  179.    wt: 5:   2 Complex Numbers made easier we hope
  180.    wt: 5:   1 Rectangular Polar Coordinates Review
  181.    wt: 5:   Appetizer A Complex Number Applet
  182.    wt: 5:   12 Triangles Similarity More Problems
  183.    wt: 5:   11 Triangle Similarity Missing Side Problem
  184.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  185.    wt: 5:   9 Similarity of Triangles Usual Criteria
  186.    wt: 5:   8 Similarity of Triangles and Polygons
  187.    wt: 5:   7 Translations Rotations Reflections Dilatations
  188.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  189.    wt: 5:   2 Similarity By Design
  190.    wt: 5:   1 Early Concept of Like or Similar Shapes
  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:   3 Rectangular Coordinates Review
  200.    wt: 5:   2 Cartesian Coordinates with signs
  201.    wt: 5:   1 Cartesian Coordinates sans signs
  202.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  203.    wt: 5:   PS H Distributive Law For Complex Numbers
  204.    wt: 5:   PS G Rotation Distributes over Addition
  205.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  206.    wt: 5:   PS E Multiplication with Polar Coordinates
  207.    wt: 5:   PS D Addition with Cartesian Coordinates
  208.    wt: 5:   PS B Parallelogram Construction Methods
  209.    wt: 5:   PS A Kite Construction Methods
  210.    wt: 5:   21 Parallelograms
  211.    wt: 5:   19 Right Triangle Similarity
  212.    wt: 5:   18 Triangle Similarity Take 1
  213.    wt: 5:   17 Right Bisectors of Triangle Sides
  214.    wt: 5:   16 Angles Subtended By Chords and Diameters
  215.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  216.    wt: 5:   14 Parallel Lines Postulate
  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:   3 Isometry of Triangles Congruence
  226.    wt: 5:   2 Correspondence between Triangles
  227.    wt: 5:   1 Initial Concepts and Terms
  228.    wt: 5:   Short Course on Euclidean Geometry
  229.    wt: 5:   About Folder Contents
  230.    wt: 4:   13 From one to one to many to one
  231.    wt: 3:   26 Function definitions done and coming
  232.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  233.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  234.    wt: 3:   23 Inverse Functions
  235.    wt: 3:   22 Square Root function graphically
  236.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  237.    wt: 3:   17 Function maxima minima and their location
  238.    wt: 3:   15 Sign analysis of functions
  239.    wt: 3:   12 Function Domain Recognition Exercises
  240.    wt: 3:   11 Function Domain Range Source and Targets
  241.    wt: 3:   8 Set view of relations and functions
  242.    wt: 3:   7 Functions with finite domains
  243.    wt: 3:   5 Function notation for geometric transformations
  244.    wt: 3:   3 Formula or function graphing exercise
  245.    wt: 3:   2 Algebraic use of function notation
  246.    wt: 3:   1 Geometric Introduction of Function Notation
  247.    wt: 3:   4 Changing Letters
  248.    wt: 3:   3 Geometric Formulas and Function Notation
  249.    wt: 3:   1 Formulas Dependence and Function Notation
  250.    wt: 3:   4 GE III Animated Examples
  251.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  252.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  253.    wt: 3:   23 Remainder Arithmetic Modulo 2
  254.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  255.    wt: 3:   21 Remainder Arithmetic Modulo 3
  256.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  257.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  258.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  259.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  260.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  261.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  262.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  263.    wt: 3:   4 Division with 2 Digit Divsors
  264.    wt: 3:   4 Numerical properties
  265.    wt: 3:   Chapter 13. Second Reading Guide
  266.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  267.    wt: 2:   Maps Plans Drawings
  268.    wt: 2:   chapitre 04 04 Parlons de la logique
  269.    wt: 2:   13 Addition and Addition Tables
  270.    wt: 2:   4 Learning Takes Time and Effort
  271.    wt: 2:   20 Interchanging coordinates a reflection
  272.    wt: 2:   19 Horizontal line rule and method
  273.    wt: 2:   18 Vertical Line Rule and Method
  274.    wt: 2:   16 Increasing or decreasing on intervals
  275.    wt: 2:   14 Surjections Injections Bijections
  276.    wt: 2:   10 Interval Notation
  277.    wt: 2:   9 Set theory term relation possible origins
  278.    wt: 2:   6 Set Existence Formation and Notation
  279.    wt: 2:   Introduction Reading Guide
  280.    wt: 2:   13 Arrows and Vectors in a Plane
  281.    wt: 2:   4 Commutative Law Groups Counting Form
  282.    wt: 2:   4 Rates Ratios and Proporitionality
  283.    wt: 2:   5 Independent versus Dependent Variables
  284.    wt: 2:   2 Computation Rules Evaluation
  285.    wt: 2:   4 Solving a triangular system exercise
  286.    wt: 2:   4 Four Examples Fractional Coefficients
  287.    wt: 2:   4 Two Examples
  288.    wt: 2:   4 Greater More Less Than Signs in General
  289.    wt: 2:   4 signed coordinates for regions in space
  290.    wt: 2:   4 Adding Movements wiht opposite directions
  291.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  292.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  293.    wt: 2:   26 Divisibility by 2 3 5 Example
  294.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  295.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  296.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  297.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  298.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  299.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  300.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  301.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  302.    wt: 2:   5 Remainder Arithmetic Modulo 5
  303.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  304.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  305.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  306.    wt: 2:   1 Remainder Arithmetic Modulo 10
  307.    wt: 2:   13 video Factors of 24 using prime
  308.    wt: 2:   4 video Prime Factorization Introduction
  309.    wt: 2:   4 Two and Three Digit Multipliers
  310.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  311.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  312.    wt: 2:   4 Definite Integrals Evaluation Exercises
  313.    wt: 2:   2 Indefinite Integrals Exercises
  314.    wt: 2:   4 Second derivative test exercise example
  315.    wt: 2:   3 Second derivative test
  316.    wt: 2:   13 sine and cosine derivatives 1st step
  317.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  318.    wt: 2:   Chapter 13. Acceleration
  319.    wt: 2:   Chapter 19. Functions and Sets
  320.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  321.    wt: 2:   Chapter 4 Longer Chains of Reason
  322.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  323.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  324.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  325.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  326.    wt: 1:   Ramblings Extrinsic numbers theory
  327.    wt: 1:   Ramblings Introduction Algebra Essay
  328.    wt: 1:   Skills Chapter 3 Algebra
  329.    wt: 1:   4 algebra
  330.    wt: 1:   Teach the teachers plus goals
  331.    wt: 1:   site eurekas
  332.    wt: 1:   About site lesson plans
  333.    wt: 1:   geometric implications for algebra
  334.    wt: 1:   05 13 OldSiteEntrancePage
  335.    wt: 1:   04 29 New Mathematics Curriculum
  336.    wt: 1:   04 25 when to stop or suspend mathemat
  337.    wt: 1:   Education in mathematics science and technology
  338.    wt: 1:   Leaner mathematics curriculum
  339.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  340.    wt: 1:   chapitre 04 09 Regles accidentelles
  341.    wt: 1:   chapitre 04 08 Limitations et benefices
  342.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  343.    wt: 1:   chapitre 04 06 engagements
  344.    wt: 1:   chapitre 04 05 Implication versus suggestion
  345.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  346.    wt: 1:   chapitre 04 02 Deuxieme enigme
  347.    wt: 1:   chapitre 04 01 Premiere enigme
  348.    wt: 1:   chapitre 04 00 Les regles d implication
  349.    wt: 1:   4 Energy Power Heat09
  350.    wt: 1:   D Energy Power04
  351.    wt: 1:   F Wire Resistance Calculation04
  352.    wt: 1:   A Wire Resistance Qualitative01
  353.    wt: 1:   C Electromotive force conventional current02
  354.    wt: 1:   Ages 4 plus to 5 plus
  355.    wt: 1:   4 quadratics difference of two squares
  356.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  357.    wt: 1:   4 Polynomials Long division linear divisor
  358.    wt: 1:   Rewriting algebraic substitution as function substitutions
  359.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  360.    wt: 1:   19 Signed Multiples of Vectors
  361.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  362.    wt: 1:   11 Signed Number Addition and Addition Properties
  363.    wt: 1:   4 Location of Point in Decimal Addition
  364.    wt: 1:   4 Fraction Operations Axiomatic Development
  365.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  366.    wt: 1:   4 Subtraction and Division Axioms
  367.    wt: 1:   4 Comparison of Negative Numbers
  368.    wt: 1:   13 Real Number Subtraction
  369.    wt: 1:   8 Coordinates for Maps and Planes
  370.    wt: 1:   4 Rational Numbers
  371.    wt: 1:   Simple Exercises
  372.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  373.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  374.    wt: 1:   3 GE III Equation Addition and Multiplication
  375.    wt: 1:   2 GE II Comparison
  376.    wt: 1:   1 GE Substitution four examples
  377.    wt: 1:   13 Naming Identifying Formulas with Words
  378.    wt: 1:   4 Circle Area Formula Example
  379.    wt: 1:   4 Subset Builder Notation
  380.    wt: 1:   4 A Brief Story of numbers and algebra
  381.    wt: 1:   3 Properties of Square Roots with example
  382.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  383.    wt: 1:   13 GCD from given Prime Factorization
  384.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  385.    wt: 1:   3 signed coordinates for maps and planes
  386.    wt: 1:   13 Fraction Comparison Algebraic View
  387.    wt: 1:   4 Fraction Multiplication
  388.    wt: 1:   A Associative Law Theorectical Note
  389.    wt: 1:   13 Subtraction with Additive Inverse
  390.    wt: 1:   Long Division Backwards more
  391.    wt: 1:   Long Division Backward
  392.    wt: 1:   Division with Counts and Length
  393.    wt: 1:   Long Division forwards and backwards Example 3
  394.    wt: 1:   Long Division forwards and backwards Example 2
  395.    wt: 1:   Long Division forwards and backwards Example 1
  396.    wt: 1:   12 Why Long Division Works Take III
  397.    wt: 1:   11 Another Single Digit Divisor Example
  398.    wt: 1:   10 Division by Five Long and Short Ways
  399.    wt: 1:   9 Why Long Division Works Take II
  400.    wt: 1:   8 Correcting the Mistake
  401.    wt: 1:   7 Long Divison Mistake Catching
  402.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  403.    wt: 1:   5 Long Division Include Zeroes or not
  404.    wt: 1:   3 Division Single Digit Divisor Example
  405.    wt: 1:   2 Division with Single Digit Divisors
  406.    wt: 1:   1 Divsion Physical Examples
  407.    wt: 1:   4. How to add with decimals B with conversions
  408.    wt: 1:   013 Travel Time Tables
  409.    wt: 1:   4 Mixing and Changing Units of Time
  410.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  411.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  412.    wt: 1:   Example 4 with x function of y
  413.    wt: 1:   A Related Material in Volume 3
  414.    wt: 1:   5 Area Under Curve Exercise
  415.    wt: 1:   3 Two Chain Rule Method Exercises
  416.    wt: 1:   1 Chain Rule in Reverse Integration Method
  417.    wt: 1:   A Related lessons in Volume 3
  418.    wt: 1:   2 Second derivative test prequel
  419.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  420.    wt: 1:   34 Derivative of exponential function
  421.    wt: 1:   31 Derivatives of inverse functions
  422.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  423.    wt: 1:   26 Chain Rule Recognising outer inner functions
  424.    wt: 1:   19 Chain Rule for linear functions
  425.    wt: 1:   14 sine and cosine derivatives 2nd step
  426.    wt: 1:   4 Sum Rule
  427.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  428.    wt: 1:   11 Limits at infinity Three Examples
  429.    wt: 1:   10 Three one sided limits with infinite values
  430.    wt: 1:   9 Limits Continuity and Composition
  431.    wt: 1:   8 Four Animated Examples
  432.    wt: 1:   7 Evaluation by immediate or delayed substitution
  433.    wt: 1:   6 Continuity at a point
  434.    wt: 1:   5 Jumps and absence of unlimited error control
  435.    wt: 1:   3 Decimal insights for limits continuity convergence
  436.    wt: 1:   2 Algebraic codification
  437.    wt: 1:   1 Numerical introduction
  438.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  439.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  440.    wt: 1:   F.5a Equicontinuity Theorems
  441.    wt: 1:   F.1 What Functions are Continuous
  442.    wt: 1:   E2 Algebraic Properties of Limits
  443.    wt: 1:   C Triangle Inequalities
  444.    wt: 1:   Chapter 23 Links To Trigonometry
  445.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  446.    wt: 1:   Chapter 4. More Slope Sign Analysis
  447.    wt: 1:   Postscript More on Better Performance
  448.    wt: 1:   Postscript For Better Performance
  449.    wt: 1:   Appendix E. How To Study Mathematics and Why
  450.    wt: 1:   Appendix D. What to do in School and Why
  451.    wt: 1:   Appendix C. How to Read
  452.    wt: 1:   Appendix B. How To Learn
  453.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  454.    wt: 1:   Chapter 31 Direct and Indirect Reason
  455.    wt: 1:   Chapter 30 Truth Tables
  456.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  457.    wt: 1:   Chapter 28 Occurrence Tables
  458.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  459.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  460.    wt: 1:   Chapter 25. Mathematical Induction Examples
  461.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  462.    wt: 1:   Chapter 23. Notation For Sums
  463.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  464.    wt: 1:   Chapter 21. Third Reading Guide
  465.    wt: 1:   Chapter 20. Degrees and Radians
  466.    wt: 1:   Chapter 18. Rules for Algebra
  467.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  468.    wt: 1:   Chapter 16. Painless Theorem Proving
  469.    wt: 1:   Chapter 15. Solving Linear Equations
  470.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  471.    wt: 1:   Chapter 12. Shorthand Usage Guide
  472.    wt: 1:   Chapter 11. Why Shorthand
  473.    wt: 1:   Chapter 10 Describing and Changing Calculations
  474.    wt: 1:   Postscript What is a Variable
  475.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  476.    wt: 1:   Chapter 8 Three Skills For Algebra
  477.    wt: 1:   Solutions For Arithmetic Exercises
  478.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  479.    wt: 1:   Chapter 6 Change of Language
  480.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  481.    wt: 1:   Chapter 3 Chains of Reason
  482.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  483.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  484.    wt: 1:   Foreword
  485.    wt: 1:   Postscript A Three Remarks
  486.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  487.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  488.    wt: 1:   M Words to extend arithmetic
  489.    wt: 1:   D. Check work a must with a caution
  490.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  491.    wt: 1:   Chapter 8 Skipped Topics and Why
  492.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  493.    wt: 1:   Chapter 6 More Algebra and Geometry
  494.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  495.    wt: 1:   Chapter 3 Algebra Starter Lessons
  496.    wt: 1:   Chapter 2 Why Sets
  497.    wt: 1:   Chapter 1 Arithmetic
  498.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  499.    wt: 1:   7 Games and Activities for Instruction
  500.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  501.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  502.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  503.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  504.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  505.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  506.    wt: 11:   13 Velocity Vectors in Physics
  507.    wt: 10:   4 Resultant of a Sum of Movements
  508.    wt: 10:   4 Angles on Maps Plans drawn to scale
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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