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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29 matches:

  1.    wt: 8:   13 Vectors/
  2.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  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:   11 Parallel Straight Lines and Transversals/
  7.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  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: 1:   4 Functions/
  18.    wt: 1:   A Origins of Counting and Figuring Methods/
  19.    wt: 1:   4 Computation Rules and Function Notation/
  20.    wt: 1:   Step 4 Gaussian Elimination/
  21.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  22.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  23.    wt: 1:   Step 1 Stick diagram and fractions/
  24.    wt: 1:   3 Solving Linear Equations/
  25.    wt: 1:   D Decimal Long Division Methods/
  26.    wt: 1:   C Decimal Multiplication Methods/
  27.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  28.    wt: 1:   A Decimal Counting and Adding Methods/
  29.    wt: 1:   13 Lessons on Limits and Continuity/

Web Page Search

182 matches:

  1.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  2.    wt: 3:   18 Vertical Line Rule and Method
  3.    wt: 3:   13 cosecant function Definition Graph and Inverse
  4.    wt: 2:   Maps Plans Drawings
  5.    wt: 2:   26 Function definitions done and coming
  6.    wt: 2:   19 Horizontal line rule and method
  7.    wt: 2:   16 cotangent function Definition Graph and Inverse
  8.    wt: 2:   15 cosecant function Definition Graph and Inverse
  9.    wt: 2:   14 secant function Definition Graph and Inverse
  10.    wt: 2:   13 Velocity Vectors in Physics
  11.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  12.    wt: 2:   8 Straight Lines Equation for vertical
  13.    wt: 2:   13 Graph of tangent function many periods
  14.    wt: 2:   11 tangent function undefined when terminal side vertical
  15.    wt: 2:   6 Intersection of lines by solving linear systems
  16.    wt: 2:   4 Angles on Maps Plans drawn to scale
  17.    wt: 2:   3 Lengths and Areas on Maps and Plans
  18.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  19.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  20.    wt: 2:   13 Arrows and Vectors in a Plane
  21.    wt: 2:   19 Chain Rule for linear functions
  22.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  23.    wt: 1:   links Education Resources online
  24.    wt: 1:   About site lesson plans
  25.    wt: 1:   05 13 OldSiteEntrancePage
  26.    wt: 1:   deux definitions pour variable
  27.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  28.    wt: 1:   13 Addition and Addition Tables
  29.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  30.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  31.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  32.    wt: 1:   23 Inverse Functions
  33.    wt: 1:   22 Square Root function graphically
  34.    wt: 1:   17 Function maxima minima and their location
  35.    wt: 1:   15 Sign analysis of functions
  36.    wt: 1:   13 From one to one to many to one
  37.    wt: 1:   12 Function Domain Recognition Exercises
  38.    wt: 1:   11 Function Domain Range Source and Targets
  39.    wt: 1:   8 Set view of relations and functions
  40.    wt: 1:   7 Functions with finite domains
  41.    wt: 1:   5 Function notation for geometric transformations
  42.    wt: 1:   4 Function notation in and beyond mathematics
  43.    wt: 1:   3 Formula or function graphing exercise
  44.    wt: 1:   2 Algebraic use of function notation
  45.    wt: 1:   1 Geometric Introduction of Function Notation
  46.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  47.    wt: 1:   4 Polynomials Long division linear divisor
  48.    wt: 1:   2 Column Multiplication Method
  49.    wt: 1:   Rewriting algebraic substitution as function substitutions
  50.    wt: 1:   10 arctan left inverse of tangent Definition
  51.    wt: 1:   7 arcsin left inverse of sine Definition
  52.    wt: 1:   6 Graph of arccos function
  53.    wt: 1:   3 Left Inverse of cosine arccos definition
  54.    wt: 1:   2 cosine function more properties
  55.    wt: 1:   1 cosine function properties
  56.    wt: 1:   11 Component Method
  57.    wt: 1:   10 Parallelogram Addition Method
  58.    wt: 1:   8 Parallel Vectors
  59.    wt: 1:   6 Vectors with Coordinates
  60.    wt: 1:   3 Navigation with Arrows or Vectors
  61.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  62.    wt: 1:   Parallel Lines and Parallel Transversals
  63.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  64.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  65.    wt: 1:   Parallel Lines and Interior Angles
  66.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  67.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  68.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  69.    wt: 1:   Straight Lines ASA Intersection Study More
  70.    wt: 1:   Straight Lines ASA Intersection Study
  71.    wt: 1:   Straight Lines Instersection Solving Equations
  72.    wt: 1:   Straight Lines Intersection of
  73.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  74.    wt: 1:   C Straight Lines Slope from Coordinates
  75.    wt: 1:   B Straight Line Slope Scaling Properties More
  76.    wt: 1:   A Straight Line Slope Scaling Properties
  77.    wt: 1:   14 Straight Lines Equations General Case
  78.    wt: 1:   12 Straight Lines Graphing mx plus b
  79.    wt: 1:   11 Straight Lines Graphing y=mx
  80.    wt: 1:   10 Straight Lines through Origin Equations More
  81.    wt: 1:   9 Straight Lines through Origin Equations
  82.    wt: 1:   7 Tangent Function is odd on this domain
  83.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  84.    wt: 1:   5 Tangent Function Graph
  85.    wt: 1:   4 Tangent Function Properties
  86.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  87.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  88.    wt: 1:   1 Straight Lines Slope Concept
  89.    wt: 1:   17 tangent function angle sum formulas
  90.    wt: 1:   30 unit circle calculation of six trigonometric functions
  91.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  92.    wt: 1:   17A The complex number valued trig function cis
  93.    wt: 1:   12 Graph of tangent function for one period
  94.    wt: 1:   8 period of tangent function
  95.    wt: 1:   Unit Circle Development of Trigonometry
  96.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  97.    wt: 1:   13 Trig Formulas for dot and cross Products
  98.    wt: 1:   9 The complex number valued trig function cis
  99.    wt: 1:   8 Unit Circle Development of Trigonometry
  100.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  101.    wt: 1:   Why Trigonometry the whyslopes view
  102.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  103.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  104.    wt: 1:   4 Similarity Definition with Coordinate
  105.    wt: 1:   4 Equations for lines three forms
  106.    wt: 1:   3 Slope product for perpendicular lines
  107.    wt: 1:   2 point slope equation for a line
  108.    wt: 1:   1 Numerical view of lines and their equations
  109.    wt: 1:   13 Pythagorean spatial distance formulas
  110.    wt: 1:   8 Distance Between Points on a Line
  111.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  112.    wt: 1:   PS B Parallelogram Construction Methods
  113.    wt: 1:   PS A Kite Construction Methods
  114.    wt: 1:   14 Parallel Lines Postulate
  115.    wt: 1:   13 Angle Side Angle Failure
  116.    wt: 1:   10 Dropping a perpendicular to line
  117.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  118.    wt: 1:   6 Figuring with Maps Not to Scale
  119.    wt: 1:   19 Signed Multiples of Vectors
  120.    wt: 1:   12 Real Numbers Line Signed Coordinates
  121.    wt: 1:   E Long Division Methods more
  122.    wt: 1:   D Long Division Methods
  123.    wt: 1:   C Three Decimal Subtraction Methods
  124.    wt: 1:   A Decimal Addition Columm Methods
  125.    wt: 1:   8 Column Multiplication Methods in General
  126.    wt: 1:   7 Decimals Multiplication Methods Examples
  127.    wt: 1:   6 Column Methods for Decimal Multiplication
  128.    wt: 1:   3 Linear Equation Literal Solution More
  129.    wt: 1:   2 Linear Equation Literal Solution
  130.    wt: 1:   13 Real Number Subtraction
  131.    wt: 1:   8 Coordinates for Maps and Planes
  132.    wt: 1:   7 Real Numbers as Line Cordinates
  133.    wt: 1:   3 Geometric Formulas and Function Notation
  134.    wt: 1:   1 Formulas Dependence and Function Notation
  135.    wt: 1:   4 GE III Animated Examples
  136.    wt: 1:   3 GE III Equation Addition and Multiplication
  137.    wt: 1:   13 Naming Identifying Formulas with Words
  138.    wt: 1:   13 GCD from given Prime Factorization
  139.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  140.    wt: 1:   2 Least Common Multiple LCM intro via list method
  141.    wt: 1:   1 Counting and Counting Methods I
  142.    wt: 1:   3 signed coordinates for maps and planes
  143.    wt: 1:   13 Fraction Comparison Algebraic View
  144.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  145.    wt: 1:   13 Subtraction with Additive Inverse
  146.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  147.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  148.    wt: 1:   13 video Factors of 24 using prime
  149.    wt: 1:   12 Why Long Division Works Take III
  150.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  151.    wt: 1:   D Decimal Multiplication Methods Derived
  152.    wt: 1:   A Elementary Basis for Multiplication Methods
  153.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  154.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  155.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  156.    wt: 1:   013 Travel Time Tables
  157.    wt: 1:   Example 4 with x function of y
  158.    wt: 1:   3 Two Chain Rule Method Exercises
  159.    wt: 1:   1 Chain Rule in Reverse Integration Method
  160.    wt: 1:   34 Derivative of exponential function
  161.    wt: 1:   31 Derivatives of inverse functions
  162.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  163.    wt: 1:   26 Chain Rule Recognising outer inner functions
  164.    wt: 1:   13 sine and cosine derivatives 1st step
  165.    wt: 1:   3 Motivation for Limit Definition Take 2
  166.    wt: 1:   2 Motivation for Limit Definition Take 1
  167.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  168.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  169.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  170.    wt: 1:   F.1 What Functions are Continuous
  171.    wt: 1:   Chapter 23 Links To Trigonometry
  172.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  173.    wt: 1:   Chapter 13. Acceleration
  174.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  175.    wt: 1:   Chapter 19. Functions and Sets
  176.    wt: 1:   Chapter 15. Solving Linear Equations
  177.    wt: 1:   Chapter 13. Second Reading Guide
  178.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  179.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  180.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  181.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  182.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

445 matches:

  1.    wt: 9:   13 cosecant function Definition Graph and Inverse
  2.    wt: 9:   11 Component Method
  3.    wt: 9:   10 Parallelogram Addition Method
  4.    wt: 9:   8 Parallel Vectors
  5.    wt: 9:   6 Vectors with Coordinates
  6.    wt: 9:   3 Navigation with Arrows or Vectors
  7.    wt: 9:   13 Straight Lines Finding Equations from 2 points
  8.    wt: 9:   8 Straight Lines Equation for vertical
  9.    wt: 9:   4 Angles on Maps Plans drawn to scale
  10.    wt: 9:   3 Lengths and Areas on Maps and Plans
  11.    wt: 8:   16 cotangent function Definition Graph and Inverse
  12.    wt: 8:   15 cosecant function Definition Graph and Inverse
  13.    wt: 8:   14 secant function Definition Graph and Inverse
  14.    wt: 8:   3 Left Inverse of cosine arccos definition
  15.    wt: 8:   A Global Time and Navigation
  16.    wt: 8:   15 Dot and Cross Product
  17.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  18.    wt: 8:   12 From Applied To Pure Mathematics
  19.    wt: 8:   9 Head to Tail Coordinate View
  20.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  21.    wt: 8:   5 Head To Tail Arrow Addition
  22.    wt: 8:   4 Resultant of a Sum of Movements
  23.    wt: 8:   2 Signed Coordinates
  24.    wt: 8:   1 Unsigned Coordinates
  25.    wt: 8:   Vector and Complex Number Applet
  26.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  27.    wt: 8:   C Straight Lines Slope from Coordinates
  28.    wt: 8:   B Straight Line Slope Scaling Properties More
  29.    wt: 8:   A Straight Line Slope Scaling Properties
  30.    wt: 8:   14 Straight Lines Equations General Case
  31.    wt: 8:   12 Straight Lines Graphing mx plus b
  32.    wt: 8:   11 Straight Lines Graphing y=mx
  33.    wt: 8:   10 Straight Lines through Origin Equations More
  34.    wt: 8:   9 Straight Lines through Origin Equations
  35.    wt: 8:   7 Tangent Function is odd on this domain
  36.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  37.    wt: 8:   5 Tangent Function Graph
  38.    wt: 8:   4 Tangent Function Properties
  39.    wt: 8:   3 Straight Lines Slope as Tangent of Inclination Angle
  40.    wt: 8:   2 Straight Lines Slopes As Rise Over Run
  41.    wt: 8:   1 Straight Lines Slope Concept
  42.    wt: 8:   32 seven rows of pascals triangle
  43.    wt: 8:   13 Graph of tangent function many periods
  44.    wt: 8:   11 tangent function undefined when terminal side vertical
  45.    wt: 8:   6 Intersection of lines by solving linear systems
  46.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  47.    wt: 8:   6 Figuring with Maps Not to Scale
  48.    wt: 7:   10 arctan left inverse of tangent Definition
  49.    wt: 7:   7 arcsin left inverse of sine Definition
  50.    wt: 7:   6 Graph of arccos function
  51.    wt: 7:   2 cosine function more properties
  52.    wt: 7:   1 cosine function properties
  53.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  54.    wt: 7:   Parallel Lines and Parallel Transversals
  55.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  56.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  57.    wt: 7:   Parallel Lines and Interior Angles
  58.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  59.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  60.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  61.    wt: 7:   Straight Lines ASA Intersection Study More
  62.    wt: 7:   Straight Lines ASA Intersection Study
  63.    wt: 7:   Straight Lines Instersection Solving Equations
  64.    wt: 7:   Straight Lines Intersection of
  65.    wt: 7:   17 tangent function angle sum formulas
  66.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  67.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  68.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  69.    wt: 7:   31 basic secant cosecant cotangent trig identities
  70.    wt: 7:   30 unit circle calculation of six trigonometric functions
  71.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  72.    wt: 7:   17A The complex number valued trig function cis
  73.    wt: 7:   15 sine cosine Complementary Angle Relations
  74.    wt: 7:   12 Graph of tangent function for one period
  75.    wt: 7:   8 period of tangent function
  76.    wt: 7:   Unit Circle Development of Trigonometry
  77.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  78.    wt: 7:   13 Trig Formulas for dot and cross Products
  79.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  80.    wt: 7:   Why Trigonometry the whyslopes view
  81.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  82.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  83.    wt: 7:   4 Equations for lines three forms
  84.    wt: 7:   3 Slope product for perpendicular lines
  85.    wt: 7:   2 point slope equation for a line
  86.    wt: 7:   1 Numerical view of lines and their equations
  87.    wt: 7:   13 Pythagorean spatial distance formulas
  88.    wt: 7:   13 Angle Side Angle Failure
  89.    wt: 7:   A Measurement with Ruler Proper Use
  90.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  91.    wt: 7:   2 Measuring Area Directly
  92.    wt: 7:   1 Length Measurement
  93.    wt: 6:   12 motivation for term arctan
  94.    wt: 6:   11 arctan left inverse of tangent Graph
  95.    wt: 6:   9 motivation for name arcsin
  96.    wt: 6:   8 arcsin left inverse of sine Graph
  97.    wt: 6:   5 Swapping Coordinates is a reflection
  98.    wt: 6:   4 possible motivation for term arccos
  99.    wt: 6:   4 graphing y=Asin(x c)
  100.    wt: 6:   3 graphing y=f(x c) plus K
  101.    wt: 6:   1 graphing y=f(x a)
  102.    wt: 6:   Triangle Angles Sum To 180 Degrees
  103.    wt: 6:   29 secant cosecant and cotangent for acute angles
  104.    wt: 6:   28 Expressing products of sines cosines as sums
  105.    wt: 6:   27 Logarithmic use of products of sines and cosines
  106.    wt: 6:   26 Formulas for products of sines and cosines
  107.    wt: 6:   25 tangent double angle formula Slope connection
  108.    wt: 6:   24 tangent Angle Difference Formula
  109.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  110.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  111.    wt: 6:   21 sine and cosine Half Angle Formulas
  112.    wt: 6:   20 sine and cosine Double Angle Formulas
  113.    wt: 6:   18 sum of sinusoidal waves as a single wave
  114.    wt: 6:   17G Pythagorean Theorem Converse
  115.    wt: 6:   17F Law of cosines
  116.    wt: 6:   17E Trig Formulas for dot and cross Products
  117.    wt: 6:   17D cis formulas for sine cosines and tangent
  118.    wt: 6:   17C sine and cosine double triple angle formulas
  119.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  120.    wt: 6:   16 Right Triangle Complementary Angle Relations
  121.    wt: 6:   14 cosine even and sine and tangent are odd
  122.    wt: 6:   10 Graphs of sines and cosines many periods
  123.    wt: 6:   9 Graphs of sine and cosine over one period
  124.    wt: 6:   7 period of sine and cosine
  125.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  126.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  127.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  128.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  129.    wt: 6:   2 Quadrant I reference Angles
  130.    wt: 6:   1 Unit Points Reflections Rotations
  131.    wt: 6:   9 The complex number valued trig function cis
  132.    wt: 6:   8 Unit Circle Development of Trigonometry
  133.    wt: 6:   8 Triangles Cascade Problem Solving
  134.    wt: 6:   7 Trignometric Ratios Unit Circle
  135.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  136.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  137.    wt: 6:   3 Trigonometric Ratios sine and cosine
  138.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  139.    wt: 6:   1 Angle Measurement with Degrees
  140.    wt: 6:   6 Geometric Diagrams in Class
  141.    wt: 6:   4 Similarity Definition with Coordinate
  142.    wt: 6:   3 Similarity by Design with coordinates
  143.    wt: 6:   Four Simple Exercises
  144.    wt: 6:   12 Links Lessons elsewhere
  145.    wt: 6:   11 A Partial Summary
  146.    wt: 6:   10 Midpoint of [a b] and [b a]
  147.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  148.    wt: 6:   8 Mid Point Formula
  149.    wt: 6:   7 Exercises to test skill and concept mastery
  150.    wt: 6:   5 Algebraic View of Slopes
  151.    wt: 6:   What is and is not here
  152.    wt: 6:   8 Distance Between Points on a Line
  153.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  154.    wt: 6:   PS B Parallelogram Construction Methods
  155.    wt: 6:   PS A Kite Construction Methods
  156.    wt: 6:   14 Parallel Lines Postulate
  157.    wt: 6:   10 Dropping a perpendicular to line
  158.    wt: 5:   9 Summary Degrees to Radians and back
  159.    wt: 5:   8 Radian Measures of Common Angles
  160.    wt: 5:   7 Radian Measures in special Triangles
  161.    wt: 5:   6 Radian Measure to Degrees
  162.    wt: 5:   5 Degrees to Radian Measure
  163.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  164.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  165.    wt: 5:   2 Radian Measure Numerical Value of one degree
  166.    wt: 5:   1 Degrees and Radians Introduction
  167.    wt: 5:   21 Logarithms Powers and Exponentials
  168.    wt: 5:   20 N th Roots of Complex Numbers
  169.    wt: 5:   19 N th Roots of Unity
  170.    wt: 5:   18 Sixth Roots of Unity
  171.    wt: 5:   17 Cube Roots of unity
  172.    wt: 5:   16 References and Originality Question
  173.    wt: 5:   15 Pythagorean Theorem Converse
  174.    wt: 5:   14 Law of cosines
  175.    wt: 5:   12 cis formulas for sine cosines and tangent
  176.    wt: 5:   11 sine and cosine double triple angle formulas
  177.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  178.    wt: 5:   7 Second Way to Calculate Products
  179.    wt: 5:   6 Field Properties of Complex Number
  180.    wt: 5:   5 An Easy Proof of the Distributive Law
  181.    wt: 5:   4 Multiplication Properties
  182.    wt: 5:   3 Addition Properties
  183.    wt: 5:   2 Complex Numbers made easier we hope
  184.    wt: 5:   1 Rectangular Polar Coordinates Review
  185.    wt: 5:   Appetizer A Complex Number Applet
  186.    wt: 5:   12 Triangles Similarity More Problems
  187.    wt: 5:   11 Triangle Similarity Missing Side Problem
  188.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  189.    wt: 5:   9 Similarity of Triangles Usual Criteria
  190.    wt: 5:   8 Similarity of Triangles and Polygons
  191.    wt: 5:   7 Translations Rotations Reflections Dilatations
  192.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  193.    wt: 5:   2 Similarity By Design
  194.    wt: 5:   1 Early Concept of Like or Similar Shapes
  195.    wt: 5:   12 Spatial Coordinates
  196.    wt: 5:   11 Triangle Inequality
  197.    wt: 5:   10 Pythagorean plane distance formula
  198.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  199.    wt: 5:   7 Complex Numbers Appetizer
  200.    wt: 5:   6 Polar Multiplication and Rotation
  201.    wt: 5:   5 Cartesian Addition and Translation
  202.    wt: 5:   4 Polar Coordinates to and from
  203.    wt: 5:   3 Rectangular Coordinates Review
  204.    wt: 5:   2 Cartesian Coordinates with signs
  205.    wt: 5:   1 Cartesian Coordinates sans signs
  206.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  207.    wt: 5:   PS H Distributive Law For Complex Numbers
  208.    wt: 5:   PS G Rotation Distributes over Addition
  209.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  210.    wt: 5:   PS E Multiplication with Polar Coordinates
  211.    wt: 5:   PS D Addition with Cartesian Coordinates
  212.    wt: 5:   21 Parallelograms
  213.    wt: 5:   19 Right Triangle Similarity
  214.    wt: 5:   18 Triangle Similarity Take 1
  215.    wt: 5:   17 Right Bisectors of Triangle Sides
  216.    wt: 5:   16 Angles Subtended By Chords and Diameters
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  218.    wt: 5:   12 Side Angle Side Failure
  219.    wt: 5:   11 Triangle Construction Fails
  220.    wt: 5:   9 Construction of a right bisector
  221.    wt: 5:   8 Isoceles Triangles
  222.    wt: 5:   7 Angle Side Angle
  223.    wt: 5:   6 Ruler and compass Angle Bisection
  224.    wt: 5:   5 Side Angle Side
  225.    wt: 5:   4 Side Side Side
  226.    wt: 5:   3 Isometry of Triangles Congruence
  227.    wt: 5:   2 Correspondence between Triangles
  228.    wt: 5:   1 Initial Concepts and Terms
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  232.    wt: 4:   18 Vertical Line Rule and Method
  233.    wt: 3:   26 Function definitions done and coming
  234.    wt: 3:   19 Horizontal line rule and method
  235.    wt: 3:   13 From one to one to many to one
  236.    wt: 2:   Maps Plans Drawings
  237.    wt: 2:   13 Addition and Addition Tables
  238.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  239.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  240.    wt: 2:   23 Inverse Functions
  241.    wt: 2:   22 Square Root function graphically
  242.    wt: 2:   17 Function maxima minima and their location
  243.    wt: 2:   15 Sign analysis of functions
  244.    wt: 2:   12 Function Domain Recognition Exercises
  245.    wt: 2:   11 Function Domain Range Source and Targets
  246.    wt: 2:   8 Set view of relations and functions
  247.    wt: 2:   7 Functions with finite domains
  248.    wt: 2:   5 Function notation for geometric transformations
  249.    wt: 2:   4 Function notation in and beyond mathematics
  250.    wt: 2:   3 Formula or function graphing exercise
  251.    wt: 2:   2 Algebraic use of function notation
  252.    wt: 2:   1 Geometric Introduction of Function Notation
  253.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  254.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  255.    wt: 2:   13 Arrows and Vectors in a Plane
  256.    wt: 2:   E Long Division Methods more
  257.    wt: 2:   D Long Division Methods
  258.    wt: 2:   C Three Decimal Subtraction Methods
  259.    wt: 2:   A Decimal Addition Columm Methods
  260.    wt: 2:   8 Column Multiplication Methods in General
  261.    wt: 2:   7 Decimals Multiplication Methods Examples
  262.    wt: 2:   6 Column Methods for Decimal Multiplication
  263.    wt: 2:   3 Geometric Formulas and Function Notation
  264.    wt: 2:   1 Formulas Dependence and Function Notation
  265.    wt: 2:   4 GE III Animated Examples
  266.    wt: 2:   3 GE III Equation Addition and Multiplication
  267.    wt: 2:   13 video Factors of 24 using prime
  268.    wt: 2:   12 Why Long Division Works Take III
  269.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  270.    wt: 2:   D Decimal Multiplication Methods Derived
  271.    wt: 2:   A Elementary Basis for Multiplication Methods
  272.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  273.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  274.    wt: 2:   19 Chain Rule for linear functions
  275.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  276.    wt: 2:   Chapter 13. Acceleration
  277.    wt: 2:   Chapter 13. Second Reading Guide
  278.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  279.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  280.    wt: 1:   Ramblings Extrinsic numbers theory
  281.    wt: 1:   Ramblings Introduction Algebra Essay
  282.    wt: 1:   Skills Chapter 3 Algebra
  283.    wt: 1:   links Education Resources online
  284.    wt: 1:   About site lesson plans
  285.    wt: 1:   05 13 OldSiteEntrancePage
  286.    wt: 1:   deux definitions pour variable
  287.    wt: 1:   A Wire Resistance Qualitative01
  288.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  289.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  290.    wt: 1:   20 Interchanging coordinates a reflection
  291.    wt: 1:   16 Increasing or decreasing on intervals
  292.    wt: 1:   14 Surjections Injections Bijections
  293.    wt: 1:   10 Interval Notation
  294.    wt: 1:   9 Set theory term relation possible origins
  295.    wt: 1:   6 Set Existence Formation and Notation
  296.    wt: 1:   Introduction Reading Guide
  297.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  298.    wt: 1:   4 Polynomials Long division linear divisor
  299.    wt: 1:   2 Column Multiplication Method
  300.    wt: 1:   Rewriting algebraic substitution as function substitutions
  301.    wt: 1:   19 Signed Multiples of Vectors
  302.    wt: 1:   12 Real Numbers Line Signed Coordinates
  303.    wt: 1:   B Decimal Comparison and Subtraction
  304.    wt: 1:   5 Distributive Law for Whole Numbers
  305.    wt: 1:   4 Commutative Law Groups Counting Form
  306.    wt: 1:   3 Multiplicative Counting Skills Principles
  307.    wt: 1:   2 Combing Counts Addition Skills and Principles
  308.    wt: 1:   1 The Counting Origins of Numbers
  309.    wt: 1:   3 Linear Equation Literal Solution More
  310.    wt: 1:   2 Linear Equation Literal Solution
  311.    wt: 1:   13 Real Number Subtraction
  312.    wt: 1:   8 Coordinates for Maps and Planes
  313.    wt: 1:   7 Real Numbers as Line Cordinates
  314.    wt: 1:   5 Independent versus Dependent Variables
  315.    wt: 1:   4 Changing Letters
  316.    wt: 1:   2 Computation Rules Evaluation
  317.    wt: 1:   More Exercises
  318.    wt: 1:   Simple Exercises
  319.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  320.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  321.    wt: 1:   2 GE II Comparison
  322.    wt: 1:   1 GE Substitution four examples
  323.    wt: 1:   4 Solving a triangular system exercise
  324.    wt: 1:   3 Solving triangular system example
  325.    wt: 1:   2 Essentially one exercises three with solution
  326.    wt: 1:   1 Essentially One Unknown
  327.    wt: 1:   6 Algebraic Solution Example
  328.    wt: 1:   5 Algebraic Solutions Introduction
  329.    wt: 1:   4 Four Examples Fractional Coefficients
  330.    wt: 1:   3 Four Examples
  331.    wt: 1:   2 Three Examples
  332.    wt: 1:   1 Proper Equal Sign Usage
  333.    wt: 1:   Skill Development Notes
  334.    wt: 1:   10 One Example
  335.    wt: 1:   9 Three Examples
  336.    wt: 1:   8 One Example
  337.    wt: 1:   7 Two Examples
  338.    wt: 1:   6 Three Examples
  339.    wt: 1:   5 Three Examples
  340.    wt: 1:   4 Two Examples
  341.    wt: 1:   3 Two Examples
  342.    wt: 1:   2 Three Examples
  343.    wt: 1:   Using Letters for Physical Quantities
  344.    wt: 1:   Formula Usage Show Work Format
  345.    wt: 1:   13 Naming Identifying Formulas with Words
  346.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  347.    wt: 1:   13 GCD from given Prime Factorization
  348.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  349.    wt: 1:   2 Least Common Multiple LCM intro via list method
  350.    wt: 1:   1 Counting and Counting Methods I
  351.    wt: 1:   3 signed coordinates for maps and planes
  352.    wt: 1:   13 Fraction Comparison Algebraic View
  353.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  354.    wt: 1:   A Associative Law Theorectical Note
  355.    wt: 1:   13 Subtraction with Additive Inverse
  356.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  357.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  358.    wt: 1:   Long Division Backwards more
  359.    wt: 1:   Long Division Backward
  360.    wt: 1:   Division with Counts and Length
  361.    wt: 1:   Long Division forwards and backwards Example 3
  362.    wt: 1:   Long Division forwards and backwards Example 2
  363.    wt: 1:   Long Division forwards and backwards Example 1
  364.    wt: 1:   11 Another Single Digit Divisor Example
  365.    wt: 1:   10 Division by Five Long and Short Ways
  366.    wt: 1:   9 Why Long Division Works Take II
  367.    wt: 1:   8 Correcting the Mistake
  368.    wt: 1:   7 Long Divison Mistake Catching
  369.    wt: 1:   5 Long Division Include Zeroes or not
  370.    wt: 1:   4 Division with 2 Digit Divsors
  371.    wt: 1:   3 Division Single Digit Divisor Example
  372.    wt: 1:   2 Division with Single Digit Divisors
  373.    wt: 1:   1 Divsion Physical Examples
  374.    wt: 1:   C Counting Areas with Powers of Ten
  375.    wt: 1:   B Powers of Ten
  376.    wt: 1:   6 Multiplication Commutes Order Not Important
  377.    wt: 1:   5 Decimal Fraction Multiplication
  378.    wt: 1:   4 Two and Three Digit Multipliers
  379.    wt: 1:   3 More One Digit Multipliers
  380.    wt: 1:   2 One Digit Multipliers
  381.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  382.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  383.    wt: 1:   Video Power Notation in Decimal Expansion
  384.    wt: 1:   1 Why 3 times 5 gives 15
  385.    wt: 1:   Subtraction with J Conversions Example
  386.    wt: 1:   Subtraction Another Video Lesson
  387.    wt: 1:   9 22 Minute Subtraction Review Video
  388.    wt: 1:   8 Subtraction with Units of Measure
  389.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  390.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  391.    wt: 1:   5 A Tip for Efficent Subtraction
  392.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  393.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  394.    wt: 1:   2 Subtraction Easy Case Examples
  395.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  396.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  397.    wt: 1:   8 What skills and work habits to require
  398.    wt: 1:   7 Adding decimal fractions using decimal point
  399.    wt: 1:   6. Counting and adding units and mixed units
  400.    wt: 1:   5. How to add decimals C. Examples
  401.    wt: 1:   4. How to add with decimals B with conversions
  402.    wt: 1:   3. How to add with decimals A sans conversions
  403.    wt: 1:   2 Decimal Counting Practices
  404.    wt: 1:   1. Explaining Addition Table
  405.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  406.    wt: 1:   013 Travel Time Tables
  407.    wt: 1:   Example 4 with x function of y
  408.    wt: 1:   3 Two Chain Rule Method Exercises
  409.    wt: 1:   1 Chain Rule in Reverse Integration Method
  410.    wt: 1:   34 Derivative of exponential function
  411.    wt: 1:   31 Derivatives of inverse functions
  412.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  413.    wt: 1:   26 Chain Rule Recognising outer inner functions
  414.    wt: 1:   13 sine and cosine derivatives 1st step
  415.    wt: 1:   3 Motivation for Limit Definition Take 2
  416.    wt: 1:   2 Motivation for Limit Definition Take 1
  417.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  418.    wt: 1:   11 Limits at infinity Three Examples
  419.    wt: 1:   10 Three one sided limits with infinite values
  420.    wt: 1:   9 Limits Continuity and Composition
  421.    wt: 1:   8 Four Animated Examples
  422.    wt: 1:   7 Evaluation by immediate or delayed substitution
  423.    wt: 1:   6 Continuity at a point
  424.    wt: 1:   5 Jumps and absence of unlimited error control
  425.    wt: 1:   4 Numerical properties
  426.    wt: 1:   3 Decimal insights for limits continuity convergence
  427.    wt: 1:   2 Algebraic codification
  428.    wt: 1:   1 Numerical introduction
  429.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  430.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  431.    wt: 1:   F.5a Equicontinuity Theorems
  432.    wt: 1:   F.1 What Functions are Continuous
  433.    wt: 1:   Chapter 23 Links To Trigonometry
  434.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  435.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  436.    wt: 1:   Chapter 19. Functions and Sets
  437.    wt: 1:   Chapter 15. Solving Linear Equations
  438.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  439.    wt: 1:   Postscript A Three Remarks
  440.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  441.    wt: 1:   M Words to extend arithmetic
  442.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  443.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  444.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  445.    wt: 11:   13 Velocity Vectors in Physics
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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