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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21 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  6.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  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: 1:   4 Functions/
  18.    wt: 1:   A Origins of Counting and Figuring Methods/
  19.    wt: 1:   10 Examples of Algebraic Reasoning/
  20.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  21.    wt: 1:   Volume 1 Elements of Reason/

Web Page Search

217 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  3.    wt: 2:   15 Sign analysis of functions
  4.    wt: 2:   8 Set view of relations and functions
  5.    wt: 2:   4 Resultant of a Sum of Movements
  6.    wt: 2:   30 unit circle calculation of six trigonometric functions
  7.    wt: 2:   27 Logarithmic use of products of sines and cosines
  8.    wt: 2:   Unit Circle Development of Trigonometry
  9.    wt: 2:   8 Unit Circle Development of Trigonometry
  10.    wt: 2:   6 Field Properties of Complex Number
  11.    wt: 2:   5 An Easy Proof of the Distributive Law
  12.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  13.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  14.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  15.    wt: 2:   4 Angles on Maps Plans drawn to scale
  16.    wt: 2:   3 Lengths and Areas on Maps and Plans
  17.    wt: 2:   21 Addition of Multiples of a Single Vector
  18.    wt: 2:   19 Signed Multiples of Vectors
  19.    wt: 2:   3 Properties of Square Roots with example
  20.    wt: 2:   31 Derivatives of inverse functions
  21.    wt: 2:   17 Derivatives of quotients of sine and cosine
  22.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  23.    wt: 2:   E2 Algebraic Properties of Limits
  24.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  25.    wt: 1:   About site lesson plans
  26.    wt: 1:   Mathematics Education Professors
  27.    wt: 1:   Theory of Knowledge
  28.    wt: 1:   Different Kinds of Reasoning in maths
  29.    wt: 1:   three kinds of reason in mathematics
  30.    wt: 1:   E Kirchoffs Second Law
  31.    wt: 1:   D Kirchoff First Law
  32.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  33.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  34.    wt: 1:   8 The Effect of Negative Remarks
  35.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  36.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  37.    wt: 1:   23 Inverse Functions
  38.    wt: 1:   7 Functions with finite domains
  39.    wt: 1:   2 Algebraic use of function notation
  40.    wt: 1:   1 Geometric Introduction of Function Notation
  41.    wt: 1:   8 quadratics backward use of various formulas
  42.    wt: 1:   4 quadratics difference of two squares
  43.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  44.    wt: 1:   11 arctan left inverse of tangent Graph
  45.    wt: 1:   10 arctan left inverse of tangent Definition
  46.    wt: 1:   8 arcsin left inverse of sine Graph
  47.    wt: 1:   7 arcsin left inverse of sine Definition
  48.    wt: 1:   6 Graph of arccos function
  49.    wt: 1:   3 Left Inverse of cosine arccos definition
  50.    wt: 1:   2 cosine function more properties
  51.    wt: 1:   1 cosine function properties
  52.    wt: 1:   8 Radian Measures of Common Angles
  53.    wt: 1:   2 Radian Measure Numerical Value of one degree
  54.    wt: 1:   13 Velocity Vectors in Physics
  55.    wt: 1:   8 Parallel Vectors
  56.    wt: 1:   6 Vectors with Coordinates
  57.    wt: 1:   3 Navigation with Arrows or Vectors
  58.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  59.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  60.    wt: 1:   Straight Lines Intersection of
  61.    wt: 1:   B Straight Line Slope Scaling Properties More
  62.    wt: 1:   A Straight Line Slope Scaling Properties
  63.    wt: 1:   4 Tangent Function Properties
  64.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  65.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  66.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  67.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  68.    wt: 1:   32 seven rows of pascals triangle
  69.    wt: 1:   28 Expressing products of sines cosines as sums
  70.    wt: 1:   26 Formulas for products of sines and cosines
  71.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  72.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  73.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  74.    wt: 1:   18 sum of sinusoidal waves as a single wave
  75.    wt: 1:   17F Law of cosines
  76.    wt: 1:   13 Graph of tangent function many periods
  77.    wt: 1:   12 Graph of tangent function for one period
  78.    wt: 1:   10 Graphs of sines and cosines many periods
  79.    wt: 1:   9 Graphs of sine and cosine over one period
  80.    wt: 1:   8 period of tangent function
  81.    wt: 1:   7 period of sine and cosine
  82.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  83.    wt: 1:   20 N th Roots of Complex Numbers
  84.    wt: 1:   19 N th Roots of Unity
  85.    wt: 1:   18 Sixth Roots of Unity
  86.    wt: 1:   17 Cube Roots of unity
  87.    wt: 1:   14 Law of cosines
  88.    wt: 1:   4 Multiplication Properties
  89.    wt: 1:   3 Addition Properties
  90.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  91.    wt: 1:   Why Trigonometry the whyslopes view
  92.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  93.    wt: 1:   9 Similarity of Triangles Usual Criteria
  94.    wt: 1:   8 Similarity of Triangles and Polygons
  95.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  96.    wt: 1:   1 Early Concept of Like or Similar Shapes
  97.    wt: 1:   10 Midpoint of [a b] and [b a]
  98.    wt: 1:   6 Intersection of lines by solving linear systems
  99.    wt: 1:   5 Algebraic View of Slopes
  100.    wt: 1:   1 Numerical view of lines and their equations
  101.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  102.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  103.    wt: 1:   17 Right Bisectors of Triangle Sides
  104.    wt: 1:   9 Construction of a right bisector
  105.    wt: 1:   3 Isometry of Triangles Congruence
  106.    wt: 1:   6 Figuring with Maps Not to Scale
  107.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  108.    wt: 1:   22 Multiplication of Signed Numbers
  109.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  110.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  111.    wt: 1:   13 Arrows and Vectors in a Plane
  112.    wt: 1:   11 Signed Number Addition and Addition Properties
  113.    wt: 1:   8 Division and Mulplication of Compound Fractions
  114.    wt: 1:   4 Location of Point in Decimal Addition
  115.    wt: 1:   3 Location of Point in Decimal Multiplication
  116.    wt: 1:   1 The Counting Origins of Numbers
  117.    wt: 1:   5 Areas of Rectangles Revisited
  118.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  119.    wt: 1:   4 Comparison of Negative Numbers
  120.    wt: 1:   8 Coordinates for Maps and Planes
  121.    wt: 1:   11 Volume of Sphere
  122.    wt: 1:   10 Volume of Pyramid
  123.    wt: 1:   9 Volume of Cone
  124.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  125.    wt: 1:   8 Sets of Numbers
  126.    wt: 1:   6 Three Notions of What is a Variable
  127.    wt: 1:   4 A Brief Story of numbers and algebra
  128.    wt: 1:   3 Comparison of Negative Numbers
  129.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  130.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  131.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  132.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  133.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  134.    wt: 1:   4 LCM of 8 and 10 via Prime
  135.    wt: 1:   5 lengths and signs of numbers
  136.    wt: 1:   3 signed coordinates for maps and planes
  137.    wt: 1:   6 Simplification of Fractions with Units
  138.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  139.    wt: 1:   6 Multiplication of Mixed Numbers
  140.    wt: 1:   3 Unit fraction of a fraction
  141.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  142.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  143.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  144.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  145.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  146.    wt: 1:   20 Uniqueness of Prime Factorization
  147.    wt: 1:   16 video Factors of 980 using prime
  148.    wt: 1:   15 video Factors of 20 using Prime Factorization
  149.    wt: 1:   14 video Factors of 24 Take II
  150.    wt: 1:   13 video Factors of 24 using prime
  151.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  152.    wt: 1:   C Counting Areas with Powers of Ten
  153.    wt: 1:   B Powers of Ten
  154.    wt: 1:   8 Subtraction with Units of Measure
  155.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  156.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  157.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  158.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  159.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  160.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  161.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  162.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  163.    wt: 1:   Quick history of numbers and algebra
  164.    wt: 1:   012 Division of Time Intervals by Time Intervals
  165.    wt: 1:   011 Division of Time Intervals By Numbers
  166.    wt: 1:   010 Repeated Addition of Time Intervals
  167.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  168.    wt: 1:   8 Addition of Time Intervals via subtotaling
  169.    wt: 1:   7 Addition of Time Intervals
  170.    wt: 1:   4 Mixing and Changing Units of Time
  171.    wt: 1:   3 Units and Lengths of Time
  172.    wt: 1:   1 Intro of Kids To Time Date Skills
  173.    wt: 1:   Example 2 volume of a cone
  174.    wt: 1:   Example 1 volume of a pyramid
  175.    wt: 1:   Volume of Solid by Cross Sections Lesson
  176.    wt: 1:   Example 4 with x function of y
  177.    wt: 1:   34 Derivative of exponential function
  178.    wt: 1:   30Chain Rule A Proof
  179.    wt: 1:   28 Chain Rule Preparation for a Proof
  180.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  181.    wt: 1:   26 Chain Rule Recognising outer inner functions
  182.    wt: 1:   19 Chain Rule for linear functions
  183.    wt: 1:   8 Differentiation of polynomials
  184.    wt: 1:   5 Jumps and absence of unlimited error control
  185.    wt: 1:   4 Numerical properties
  186.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  187.    wt: 1:   G.3 Constant Difference Theorem Proof
  188.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  189.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  190.    wt: 1:   F.1 What Functions are Continuous
  191.    wt: 1:   D2 Limits of Monotone Sequences
  192.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  193.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  194.    wt: 1:   Chapter 23 Links To Trigonometry
  195.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  196.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  197.    wt: 1:   Chapter 19. Functions and Sets
  198.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  199.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  200.    wt: 1:   Chapter 6 Change of Language
  201.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  202.    wt: 1:   Chapter 4 Longer Chains of Reason
  203.    wt: 1:   Chapter 3 Chains of Reason
  204.    wt: 1:   Chapter 7 Two Treatments of Geometry
  205.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  206.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  207.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  208.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  209.    wt: 1:   Chapter 8 Change of Language
  210.    wt: 1:   Chapter 7 Longer Chains of Reason
  211.    wt: 1:   Chapter 6 Chains of Reason
  212.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  213.    wt: 1:   C. Domino effect of being careful
  214.    wt: 1:   B. Domino effect of errors
  215.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  216.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  217.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

411 matches:

  1.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  2.    wt: 9:   4 Angles on Maps Plans drawn to scale
  3.    wt: 9:   3 Lengths and Areas on Maps and Plans
  4.    wt: 8:   4 Resultant of a Sum of Movements
  5.    wt: 8:   30 unit circle calculation of six trigonometric functions
  6.    wt: 8:   27 Logarithmic use of products of sines and cosines
  7.    wt: 8:   Unit Circle Development of Trigonometry
  8.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  9.    wt: 8:   6 Figuring with Maps Not to Scale
  10.    wt: 7:   13 Velocity Vectors in Physics
  11.    wt: 7:   8 Parallel Vectors
  12.    wt: 7:   6 Vectors with Coordinates
  13.    wt: 7:   3 Navigation with Arrows or Vectors
  14.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  15.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  16.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  17.    wt: 7:   32 seven rows of pascals triangle
  18.    wt: 7:   28 Expressing products of sines cosines as sums
  19.    wt: 7:   26 Formulas for products of sines and cosines
  20.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  21.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  22.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  23.    wt: 7:   18 sum of sinusoidal waves as a single wave
  24.    wt: 7:   17F Law of cosines
  25.    wt: 7:   13 Graph of tangent function many periods
  26.    wt: 7:   12 Graph of tangent function for one period
  27.    wt: 7:   10 Graphs of sines and cosines many periods
  28.    wt: 7:   9 Graphs of sine and cosine over one period
  29.    wt: 7:   8 period of tangent function
  30.    wt: 7:   7 period of sine and cosine
  31.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  32.    wt: 7:   8 Unit Circle Development of Trigonometry
  33.    wt: 7:   6 Field Properties of Complex Number
  34.    wt: 7:   5 An Easy Proof of the Distributive Law
  35.    wt: 7:   2 Similar Triangles Equality of Corresponding Side Ratios
  36.    wt: 7:   Why Trigonometry the whyslopes view
  37.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  38.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  39.    wt: 7:   A Measurement with Ruler Proper Use
  40.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  41.    wt: 7:   2 Measuring Area Directly
  42.    wt: 7:   1 Length Measurement
  43.    wt: 6:   11 arctan left inverse of tangent Graph
  44.    wt: 6:   10 arctan left inverse of tangent Definition
  45.    wt: 6:   8 arcsin left inverse of sine Graph
  46.    wt: 6:   7 arcsin left inverse of sine Definition
  47.    wt: 6:   6 Graph of arccos function
  48.    wt: 6:   3 Left Inverse of cosine arccos definition
  49.    wt: 6:   2 cosine function more properties
  50.    wt: 6:   1 cosine function properties
  51.    wt: 6:   8 Radian Measures of Common Angles
  52.    wt: 6:   2 Radian Measure Numerical Value of one degree
  53.    wt: 6:   A Global Time and Navigation
  54.    wt: 6:   15 Dot and Cross Product
  55.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  56.    wt: 6:   12 From Applied To Pure Mathematics
  57.    wt: 6:   11 Component Method
  58.    wt: 6:   10 Parallelogram Addition Method
  59.    wt: 6:   9 Head to Tail Coordinate View
  60.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  61.    wt: 6:   5 Head To Tail Arrow Addition
  62.    wt: 6:   2 Signed Coordinates
  63.    wt: 6:   1 Unsigned Coordinates
  64.    wt: 6:   Vector and Complex Number Applet
  65.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  66.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  67.    wt: 6:   Straight Lines Intersection of
  68.    wt: 6:   B Straight Line Slope Scaling Properties More
  69.    wt: 6:   A Straight Line Slope Scaling Properties
  70.    wt: 6:   4 Tangent Function Properties
  71.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  72.    wt: 6:   17 tangent function angle sum formulas
  73.    wt: 6:   31 basic secant cosecant cotangent trig identities
  74.    wt: 6:   29 secant cosecant and cotangent for acute angles
  75.    wt: 6:   25 tangent double angle formula Slope connection
  76.    wt: 6:   24 tangent Angle Difference Formula
  77.    wt: 6:   21 sine and cosine Half Angle Formulas
  78.    wt: 6:   20 sine and cosine Double Angle Formulas
  79.    wt: 6:   17G Pythagorean Theorem Converse
  80.    wt: 6:   17E Trig Formulas for dot and cross Products
  81.    wt: 6:   17D cis formulas for sine cosines and tangent
  82.    wt: 6:   17C sine and cosine double triple angle formulas
  83.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  84.    wt: 6:   17A The complex number valued trig function cis
  85.    wt: 6:   16 Right Triangle Complementary Angle Relations
  86.    wt: 6:   15 sine cosine Complementary Angle Relations
  87.    wt: 6:   14 cosine even and sine and tangent are odd
  88.    wt: 6:   11 tangent function undefined when terminal side vertical
  89.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  90.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  91.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  92.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  93.    wt: 6:   2 Quadrant I reference Angles
  94.    wt: 6:   1 Unit Points Reflections Rotations
  95.    wt: 6:   20 N th Roots of Complex Numbers
  96.    wt: 6:   19 N th Roots of Unity
  97.    wt: 6:   18 Sixth Roots of Unity
  98.    wt: 6:   17 Cube Roots of unity
  99.    wt: 6:   14 Law of cosines
  100.    wt: 6:   4 Multiplication Properties
  101.    wt: 6:   3 Addition Properties
  102.    wt: 6:   8 Triangles Cascade Problem Solving
  103.    wt: 6:   7 Trignometric Ratios Unit Circle
  104.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  105.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  106.    wt: 6:   3 Trigonometric Ratios sine and cosine
  107.    wt: 6:   1 Angle Measurement with Degrees
  108.    wt: 6:   9 Similarity of Triangles Usual Criteria
  109.    wt: 6:   8 Similarity of Triangles and Polygons
  110.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  111.    wt: 6:   1 Early Concept of Like or Similar Shapes
  112.    wt: 6:   10 Midpoint of [a b] and [b a]
  113.    wt: 6:   6 Intersection of lines by solving linear systems
  114.    wt: 6:   5 Algebraic View of Slopes
  115.    wt: 6:   1 Numerical view of lines and their equations
  116.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  117.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  118.    wt: 6:   17 Right Bisectors of Triangle Sides
  119.    wt: 6:   9 Construction of a right bisector
  120.    wt: 6:   3 Isometry of Triangles Congruence
  121.    wt: 5:   16 cotangent function Definition Graph and Inverse
  122.    wt: 5:   15 cosecant function Definition Graph and Inverse
  123.    wt: 5:   14 secant function Definition Graph and Inverse
  124.    wt: 5:   13 cosecant function Definition Graph and Inverse
  125.    wt: 5:   12 motivation for term arctan
  126.    wt: 5:   9 motivation for name arcsin
  127.    wt: 5:   5 Swapping Coordinates is a reflection
  128.    wt: 5:   4 possible motivation for term arccos
  129.    wt: 5:   9 Summary Degrees to Radians and back
  130.    wt: 5:   7 Radian Measures in special Triangles
  131.    wt: 5:   6 Radian Measure to Degrees
  132.    wt: 5:   5 Degrees to Radian Measure
  133.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  134.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  135.    wt: 5:   1 Degrees and Radians Introduction
  136.    wt: 5:   4 graphing y=Asin(x c)
  137.    wt: 5:   3 graphing y=f(x c) plus K
  138.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  139.    wt: 5:   1 graphing y=f(x a)
  140.    wt: 5:   Parallel Lines and Parallel Transversals
  141.    wt: 5:   Triangle Angles Sum To 180 Degrees
  142.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  143.    wt: 5:   Parallel Lines and Interior Angles
  144.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  145.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  146.    wt: 5:   Straight Lines ASA Intersection Study More
  147.    wt: 5:   Straight Lines ASA Intersection Study
  148.    wt: 5:   Straight Lines Instersection Solving Equations
  149.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  150.    wt: 5:   C Straight Lines Slope from Coordinates
  151.    wt: 5:   14 Straight Lines Equations General Case
  152.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  153.    wt: 5:   12 Straight Lines Graphing mx plus b
  154.    wt: 5:   11 Straight Lines Graphing y=mx
  155.    wt: 5:   10 Straight Lines through Origin Equations More
  156.    wt: 5:   9 Straight Lines through Origin Equations
  157.    wt: 5:   8 Straight Lines Equation for vertical
  158.    wt: 5:   7 Tangent Function is odd on this domain
  159.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  160.    wt: 5:   5 Tangent Function Graph
  161.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  162.    wt: 5:   1 Straight Lines Slope Concept
  163.    wt: 5:   21 Logarithms Powers and Exponentials
  164.    wt: 5:   16 References and Originality Question
  165.    wt: 5:   15 Pythagorean Theorem Converse
  166.    wt: 5:   13 Trig Formulas for dot and cross Products
  167.    wt: 5:   12 cis formulas for sine cosines and tangent
  168.    wt: 5:   11 sine and cosine double triple angle formulas
  169.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  170.    wt: 5:   9 The complex number valued trig function cis
  171.    wt: 5:   7 Second Way to Calculate Products
  172.    wt: 5:   2 Complex Numbers made easier we hope
  173.    wt: 5:   1 Rectangular Polar Coordinates Review
  174.    wt: 5:   Appetizer A Complex Number Applet
  175.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  176.    wt: 5:   12 Triangles Similarity More Problems
  177.    wt: 5:   11 Triangle Similarity Missing Side Problem
  178.    wt: 5:   7 Translations Rotations Reflections Dilatations
  179.    wt: 5:   6 Geometric Diagrams in Class
  180.    wt: 5:   4 Similarity Definition with Coordinate
  181.    wt: 5:   3 Similarity by Design with coordinates
  182.    wt: 5:   2 Similarity By Design
  183.    wt: 5:   Four Simple Exercises
  184.    wt: 5:   12 Links Lessons elsewhere
  185.    wt: 5:   11 A Partial Summary
  186.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  187.    wt: 5:   8 Mid Point Formula
  188.    wt: 5:   7 Exercises to test skill and concept mastery
  189.    wt: 5:   4 Equations for lines three forms
  190.    wt: 5:   3 Slope product for perpendicular lines
  191.    wt: 5:   2 point slope equation for a line
  192.    wt: 5:   What is and is not here
  193.    wt: 5:   13 Pythagorean spatial distance formulas
  194.    wt: 5:   12 Spatial Coordinates
  195.    wt: 5:   11 Triangle Inequality
  196.    wt: 5:   10 Pythagorean plane distance formula
  197.    wt: 5:   8 Distance Between Points on a Line
  198.    wt: 5:   7 Complex Numbers Appetizer
  199.    wt: 5:   6 Polar Multiplication and Rotation
  200.    wt: 5:   5 Cartesian Addition and Translation
  201.    wt: 5:   4 Polar Coordinates to and from
  202.    wt: 5:   3 Rectangular Coordinates Review
  203.    wt: 5:   2 Cartesian Coordinates with signs
  204.    wt: 5:   1 Cartesian Coordinates sans signs
  205.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  206.    wt: 5:   PS H Distributive Law For Complex Numbers
  207.    wt: 5:   PS G Rotation Distributes over Addition
  208.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  209.    wt: 5:   PS E Multiplication with Polar Coordinates
  210.    wt: 5:   PS D Addition with Cartesian Coordinates
  211.    wt: 5:   PS B Parallelogram Construction Methods
  212.    wt: 5:   PS A Kite Construction Methods
  213.    wt: 5:   21 Parallelograms
  214.    wt: 5:   19 Right Triangle Similarity
  215.    wt: 5:   18 Triangle Similarity Take 1
  216.    wt: 5:   16 Angles Subtended By Chords and Diameters
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  218.    wt: 5:   14 Parallel Lines Postulate
  219.    wt: 5:   13 Angle Side Angle Failure
  220.    wt: 5:   12 Side Angle Side Failure
  221.    wt: 5:   11 Triangle Construction Fails
  222.    wt: 5:   10 Dropping a perpendicular to line
  223.    wt: 5:   8 Isoceles Triangles
  224.    wt: 5:   7 Angle Side Angle
  225.    wt: 5:   6 Ruler and compass Angle Bisection
  226.    wt: 5:   5 Side Angle Side
  227.    wt: 5:   4 Side Side Side
  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:   21 Graphs of functions given by Horizontal Line Method
  233.    wt: 3:   15 Sign analysis of functions
  234.    wt: 3:   8 Set view of relations and functions
  235.    wt: 2:   Maps Plans Drawings
  236.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  237.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  238.    wt: 2:   23 Inverse Functions
  239.    wt: 2:   7 Functions with finite domains
  240.    wt: 2:   2 Algebraic use of function notation
  241.    wt: 2:   1 Geometric Introduction of Function Notation
  242.    wt: 2:   21 Addition of Multiples of a Single Vector
  243.    wt: 2:   19 Signed Multiples of Vectors
  244.    wt: 2:   1 The Counting Origins of Numbers
  245.    wt: 2:   5 Areas of Rectangles Revisited
  246.    wt: 2:   3 Comparison of Negative Numbers
  247.    wt: 2:   3 Properties of Square Roots with example
  248.    wt: 2:   31 Derivatives of inverse functions
  249.    wt: 2:   17 Derivatives of quotients of sine and cosine
  250.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  251.    wt: 2:   E2 Algebraic Properties of Limits
  252.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  253.    wt: 1:   About site lesson plans
  254.    wt: 1:   Mathematics Education Professors
  255.    wt: 1:   Theory of Knowledge
  256.    wt: 1:   Different Kinds of Reasoning in maths
  257.    wt: 1:   three kinds of reason in mathematics
  258.    wt: 1:   E Kirchoffs Second Law
  259.    wt: 1:   D Kirchoff First Law
  260.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  261.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  262.    wt: 1:   8 The Effect of Negative Remarks
  263.    wt: 1:   26 Function definitions done and coming
  264.    wt: 1:   22 Square Root function graphically
  265.    wt: 1:   20 Interchanging coordinates a reflection
  266.    wt: 1:   19 Horizontal line rule and method
  267.    wt: 1:   18 Vertical Line Rule and Method
  268.    wt: 1:   17 Function maxima minima and their location
  269.    wt: 1:   16 Increasing or decreasing on intervals
  270.    wt: 1:   14 Surjections Injections Bijections
  271.    wt: 1:   13 From one to one to many to one
  272.    wt: 1:   12 Function Domain Recognition Exercises
  273.    wt: 1:   11 Function Domain Range Source and Targets
  274.    wt: 1:   10 Interval Notation
  275.    wt: 1:   9 Set theory term relation possible origins
  276.    wt: 1:   6 Set Existence Formation and Notation
  277.    wt: 1:   5 Function notation for geometric transformations
  278.    wt: 1:   4 Function notation in and beyond mathematics
  279.    wt: 1:   3 Formula or function graphing exercise
  280.    wt: 1:   Introduction Reading Guide
  281.    wt: 1:   8 quadratics backward use of various formulas
  282.    wt: 1:   4 quadratics difference of two squares
  283.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  284.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  285.    wt: 1:   22 Multiplication of Signed Numbers
  286.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  287.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  288.    wt: 1:   13 Arrows and Vectors in a Plane
  289.    wt: 1:   11 Signed Number Addition and Addition Properties
  290.    wt: 1:   8 Division and Mulplication of Compound Fractions
  291.    wt: 1:   4 Location of Point in Decimal Addition
  292.    wt: 1:   3 Location of Point in Decimal Multiplication
  293.    wt: 1:   E Long Division Methods more
  294.    wt: 1:   D Long Division Methods
  295.    wt: 1:   C Three Decimal Subtraction Methods
  296.    wt: 1:   B Decimal Comparison and Subtraction
  297.    wt: 1:   A Decimal Addition Columm Methods
  298.    wt: 1:   8 Column Multiplication Methods in General
  299.    wt: 1:   7 Decimals Multiplication Methods Examples
  300.    wt: 1:   6 Column Methods for Decimal Multiplication
  301.    wt: 1:   5 Distributive Law for Whole Numbers
  302.    wt: 1:   4 Commutative Law Groups Counting Form
  303.    wt: 1:   3 Multiplicative Counting Skills Principles
  304.    wt: 1:   2 Combing Counts Addition Skills and Principles
  305.    wt: 1:   4 Fraction Operations Axiomatic Development
  306.    wt: 1:   3 Inequalities Algebraically
  307.    wt: 1:   2 Fraction Operations Physical Development
  308.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  309.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  310.    wt: 1:   4 Comparison of Negative Numbers
  311.    wt: 1:   8 Coordinates for Maps and Planes
  312.    wt: 1:   11 Volume of Sphere
  313.    wt: 1:   10 Volume of Pyramid
  314.    wt: 1:   9 Volume of Cone
  315.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  316.    wt: 1:   8 Sets of Numbers
  317.    wt: 1:   6 Three Notions of What is a Variable
  318.    wt: 1:   4 A Brief Story of numbers and algebra
  319.    wt: 1:   4 Greater More Less Than Signs in General
  320.    wt: 1:   2 More and Less Than with Unlike Signs
  321.    wt: 1:   1 More and Less Than for Counts and Measures
  322.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  323.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  324.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  325.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  326.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  327.    wt: 1:   4 LCM of 8 and 10 via Prime
  328.    wt: 1:   5 lengths and signs of numbers
  329.    wt: 1:   3 signed coordinates for maps and planes
  330.    wt: 1:   6 Simplification of Fractions with Units
  331.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  332.    wt: 1:   6 Multiplication of Mixed Numbers
  333.    wt: 1:   3 Unit fraction of a fraction
  334.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  335.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  336.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  337.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  338.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  339.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  340.    wt: 1:   20 Uniqueness of Prime Factorization
  341.    wt: 1:   16 video Factors of 980 using prime
  342.    wt: 1:   15 video Factors of 20 using Prime Factorization
  343.    wt: 1:   14 video Factors of 24 Take II
  344.    wt: 1:   13 video Factors of 24 using prime
  345.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  346.    wt: 1:   C Counting Areas with Powers of Ten
  347.    wt: 1:   B Powers of Ten
  348.    wt: 1:   8 Subtraction with Units of Measure
  349.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  350.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  351.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  352.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  353.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  354.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  355.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  356.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  357.    wt: 1:   Quick history of numbers and algebra
  358.    wt: 1:   012 Division of Time Intervals by Time Intervals
  359.    wt: 1:   011 Division of Time Intervals By Numbers
  360.    wt: 1:   010 Repeated Addition of Time Intervals
  361.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  362.    wt: 1:   8 Addition of Time Intervals via subtotaling
  363.    wt: 1:   7 Addition of Time Intervals
  364.    wt: 1:   4 Mixing and Changing Units of Time
  365.    wt: 1:   3 Units and Lengths of Time
  366.    wt: 1:   1 Intro of Kids To Time Date Skills
  367.    wt: 1:   Example 2 volume of a cone
  368.    wt: 1:   Example 1 volume of a pyramid
  369.    wt: 1:   Volume of Solid by Cross Sections Lesson
  370.    wt: 1:   Example 4 with x function of y
  371.    wt: 1:   34 Derivative of exponential function
  372.    wt: 1:   30Chain Rule A Proof
  373.    wt: 1:   28 Chain Rule Preparation for a Proof
  374.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  375.    wt: 1:   26 Chain Rule Recognising outer inner functions
  376.    wt: 1:   19 Chain Rule for linear functions
  377.    wt: 1:   8 Differentiation of polynomials
  378.    wt: 1:   5 Jumps and absence of unlimited error control
  379.    wt: 1:   4 Numerical properties
  380.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  381.    wt: 1:   G.3 Constant Difference Theorem Proof
  382.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  383.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  384.    wt: 1:   F.1 What Functions are Continuous
  385.    wt: 1:   D2 Limits of Monotone Sequences
  386.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  387.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  388.    wt: 1:   Chapter 23 Links To Trigonometry
  389.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  390.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  391.    wt: 1:   Chapter 19. Functions and Sets
  392.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  393.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  394.    wt: 1:   Chapter 6 Change of Language
  395.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  396.    wt: 1:   Chapter 4 Longer Chains of Reason
  397.    wt: 1:   Chapter 3 Chains of Reason
  398.    wt: 1:   Chapter 7 Two Treatments of Geometry
  399.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  400.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  401.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  402.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  403.    wt: 1:   Chapter 8 Change of Language
  404.    wt: 1:   Chapter 7 Longer Chains of Reason
  405.    wt: 1:   Chapter 6 Chains of Reason
  406.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  407.    wt: 1:   C. Domino effect of being careful
  408.    wt: 1:   B. Domino effect of errors
  409.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  410.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  411.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
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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