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 Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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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33 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:   Geometry maps plans trigonometry vectors/
  16.    wt: 2:   D Decimal Long Division Methods/
  17.    wt: 2:   C Decimal Multiplication Methods/
  18.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  19.    wt: 2:   A Decimal Counting and Adding Methods/
  20.    wt: 2:   2 Arithmetic with Decimals/
  21.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  22.    wt: 1:   11 Squares and Square Roots/
  23.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 1:   9 Combinatorics Trees Tables and Products/
  25.    wt: 1:   8 Arithmetic with Signed Numbers/
  26.    wt: 1:   7 Arithmetic and Fractions with Units/
  27.    wt: 1:   6 Fractions and Ratios/
  28.    wt: 1:   5 Integers/
  29.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  30.    wt: 1:   3 Prime Factorization Skills/
  31.    wt: 1:   1 Decimal Place Value/
  32.    wt: 1:   Arithmetic and Number Theory Skills/
  33.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

Web Page Search

113 matches:

  1.    wt: 4:   13 Angle Side Angle Failure
  2.    wt: 4:   12 Side Angle Side Failure
  3.    wt: 3:   7 Angle Side Angle
  4.    wt: 3:   5 Side Angle Side
  5.    wt: 3:   4 Side Side Side
  6.    wt: 3:   4 Angles on Maps Plans drawn to scale
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   3 Euclidean Geometry Leanly
  9.    wt: 2:   Maps Plans Drawings
  10.    wt: 2:   Triangle Angles Sum To 180 Degrees
  11.    wt: 2:   16 Right Triangle Complementary Angle Relations
  12.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  13.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  14.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  15.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  16.    wt: 2:   11 Triangle Similarity Missing Side Problem
  17.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  18.    wt: 2:   17 Right Bisectors of Triangle Sides
  19.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  20.    wt: 2:   Short Course on Euclidean Geometry
  21.    wt: 2:   3 Lengths and Areas on Maps and Plans
  22.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  23.    wt: 1:   Ramblings Extrinsic numbers theory
  24.    wt: 1:   Skills Chapter 2 Geometry
  25.    wt: 1:   8 analytic geometry etc
  26.    wt: 1:   About site lesson plans
  27.    wt: 1:   Theory of Knowledge
  28.    wt: 1:   Ages 12 to 14 Geometry
  29.    wt: 1:   Ages 10 to 12 Geometry
  30.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  31.    wt: 1:   9 Set theory term relation possible origins
  32.    wt: 1:   8 Radian Measures of Common Angles
  33.    wt: 1:   7 Radian Measures in special Triangles
  34.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  35.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  36.    wt: 1:   13 Velocity Vectors in Physics
  37.    wt: 1:   8 Parallel Vectors
  38.    wt: 1:   6 Vectors with Coordinates
  39.    wt: 1:   3 Navigation with Arrows or Vectors
  40.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  41.    wt: 1:   Parallel Lines and Interior Angles
  42.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  43.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  44.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  45.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  46.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  47.    wt: 1:   17 tangent function angle sum formulas
  48.    wt: 1:   32 seven rows of pascals triangle
  49.    wt: 1:   29 secant cosecant and cotangent for acute angles
  50.    wt: 1:   25 tangent double angle formula Slope connection
  51.    wt: 1:   24 tangent Angle Difference Formula
  52.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  53.    wt: 1:   21 sine and cosine Half Angle Formulas
  54.    wt: 1:   20 sine and cosine Double Angle Formulas
  55.    wt: 1:   17C sine and cosine double triple angle formulas
  56.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  57.    wt: 1:   15 sine cosine Complementary Angle Relations
  58.    wt: 1:   11 tangent function undefined when terminal side vertical
  59.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  60.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  61.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  62.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  63.    wt: 1:   2 Quadrant I reference Angles
  64.    wt: 1:   Unit Circle Development of Trigonometry
  65.    wt: 1:   11 sine and cosine double triple angle formulas
  66.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  67.    wt: 1:   8 Unit Circle Development of Trigonometry
  68.    wt: 1:   8 Triangles Cascade Problem Solving
  69.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  70.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  71.    wt: 1:   1 Angle Measurement with Degrees
  72.    wt: 1:   Why Trigonometry the whyslopes view
  73.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  74.    wt: 1:   12 Triangles Similarity More Problems
  75.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  76.    wt: 1:   9 Similarity of Triangles Usual Criteria
  77.    wt: 1:   8 Similarity of Triangles and Polygons
  78.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  79.    wt: 1:   11 Triangle Inequality
  80.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  81.    wt: 1:   19 Right Triangle Similarity
  82.    wt: 1:   18 Triangle Similarity Take 1
  83.    wt: 1:   16 Angles Subtended By Chords and Diameters
  84.    wt: 1:   11 Triangle Construction Fails
  85.    wt: 1:   8 Isoceles Triangles
  86.    wt: 1:   6 Ruler and compass Angle Bisection
  87.    wt: 1:   3 Isometry of Triangles Congruence
  88.    wt: 1:   2 Correspondence between Triangles
  89.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  90.    wt: 1:   6 Figuring with Maps Not to Scale
  91.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  92.    wt: 1:   19 Signed Multiples of Vectors
  93.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  94.    wt: 1:   13 Arrows and Vectors in a Plane
  95.    wt: 1:   5 Areas of Rectangles Revisited
  96.    wt: 1:   5 Triangle Area Formula Backwards
  97.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  98.    wt: 1:   8 Coordinates for Maps and Planes
  99.    wt: 1:   3 Triangle Area Formula Example
  100.    wt: 1:   2 Another Rectangle Area Formula Example
  101.    wt: 1:   8 GCD from Euclidean Algorithm
  102.    wt: 1:   3 signed coordinates for maps and planes
  103.    wt: 1:   10 Three one sided limits with infinite values
  104.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  105.    wt: 1:   C Triangle Inequalities
  106.    wt: 1:   Chapter 23 Links To Trigonometry
  107.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  108.    wt: 1:   Chapter 7 Two Treatments of Geometry
  109.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  110.    wt: 1:   Chapter 6 More Algebra and Geometry
  111.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  112.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  113.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

489 matches:

  1.    wt: 9:   2 Similar Triangles Equality of Corresponding Side Ratios
  2.    wt: 9:   3 Lengths and Areas on Maps and Plans
  3.    wt: 8:   16 Right Triangle Complementary Angle Relations
  4.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  5.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  6.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  8.    wt: 8:   6 Figuring with Maps Not to Scale
  9.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  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:   2 Signed Coordinates
  15.    wt: 7:   Triangle Angles Sum To 180 Degrees
  16.    wt: 7:   17 tangent function angle sum formulas
  17.    wt: 7:   32 seven rows of pascals triangle
  18.    wt: 7:   29 secant cosecant and cotangent for acute angles
  19.    wt: 7:   25 tangent double angle formula Slope connection
  20.    wt: 7:   24 tangent Angle Difference Formula
  21.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  22.    wt: 7:   21 sine and cosine Half Angle Formulas
  23.    wt: 7:   20 sine and cosine Double Angle Formulas
  24.    wt: 7:   17C sine and cosine double triple angle formulas
  25.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  26.    wt: 7:   15 sine cosine Complementary Angle Relations
  27.    wt: 7:   11 tangent function undefined when terminal side vertical
  28.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  29.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  30.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  31.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  32.    wt: 7:   2 Quadrant I reference Angles
  33.    wt: 7:   Unit Circle Development of Trigonometry
  34.    wt: 7:   8 Triangles Cascade Problem Solving
  35.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  36.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  37.    wt: 7:   1 Angle Measurement with Degrees
  38.    wt: 7:   Why Trigonometry the whyslopes view
  39.    wt: 7:   11 Triangle Similarity Missing Side Problem
  40.    wt: 7:   A Measurement with Ruler Proper Use
  41.    wt: 7:   2 Measuring Area Directly
  42.    wt: 7:   1 Length Measurement
  43.    wt: 6:   8 Radian Measures of Common Angles
  44.    wt: 6:   7 Radian Measures in special Triangles
  45.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  46.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  47.    wt: 6:   A Global Time and Navigation
  48.    wt: 6:   15 Dot and Cross Product
  49.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  50.    wt: 6:   12 From Applied To Pure Mathematics
  51.    wt: 6:   11 Component Method
  52.    wt: 6:   10 Parallelogram Addition Method
  53.    wt: 6:   9 Head to Tail Coordinate View
  54.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  55.    wt: 6:   5 Head To Tail Arrow Addition
  56.    wt: 6:   4 Resultant of a Sum of Movements
  57.    wt: 6:   1 Unsigned Coordinates
  58.    wt: 6:   Vector and Complex Number Applet
  59.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  60.    wt: 6:   Parallel Lines and Interior Angles
  61.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  62.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  63.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  64.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  65.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  66.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  67.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  68.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  69.    wt: 6:   31 basic secant cosecant cotangent trig identities
  70.    wt: 6:   30 unit circle calculation of six trigonometric functions
  71.    wt: 6:   28 Expressing products of sines cosines as sums
  72.    wt: 6:   27 Logarithmic use of products of sines and cosines
  73.    wt: 6:   26 Formulas for products of sines and cosines
  74.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  75.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  76.    wt: 6:   18 sum of sinusoidal waves as a single wave
  77.    wt: 6:   17G Pythagorean Theorem Converse
  78.    wt: 6:   17F Law of cosines
  79.    wt: 6:   17E Trig Formulas for dot and cross Products
  80.    wt: 6:   17D cis formulas for sine cosines and tangent
  81.    wt: 6:   17A The complex number valued trig function cis
  82.    wt: 6:   14 cosine even and sine and tangent are odd
  83.    wt: 6:   13 Graph of tangent function many periods
  84.    wt: 6:   12 Graph of tangent function for one period
  85.    wt: 6:   10 Graphs of sines and cosines many periods
  86.    wt: 6:   9 Graphs of sine and cosine over one period
  87.    wt: 6:   8 period of tangent function
  88.    wt: 6:   7 period of sine and cosine
  89.    wt: 6:   1 Unit Points Reflections Rotations
  90.    wt: 6:   11 sine and cosine double triple angle formulas
  91.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  92.    wt: 6:   8 Unit Circle Development of Trigonometry
  93.    wt: 6:   2 Complex Numbers made easier we hope
  94.    wt: 6:   7 Trignometric Ratios Unit Circle
  95.    wt: 6:   3 Trigonometric Ratios sine and cosine
  96.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  97.    wt: 6:   12 Triangles Similarity More Problems
  98.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  99.    wt: 6:   9 Similarity of Triangles Usual Criteria
  100.    wt: 6:   8 Similarity of Triangles and Polygons
  101.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  102.    wt: 6:   2 point slope equation for a line
  103.    wt: 6:   11 Triangle Inequality
  104.    wt: 6:   2 Cartesian Coordinates with signs
  105.    wt: 5:   16 cotangent function Definition Graph and Inverse
  106.    wt: 5:   15 cosecant function Definition Graph and Inverse
  107.    wt: 5:   14 secant function Definition Graph and Inverse
  108.    wt: 5:   13 cosecant function Definition Graph and Inverse
  109.    wt: 5:   12 motivation for term arctan
  110.    wt: 5:   11 arctan left inverse of tangent Graph
  111.    wt: 5:   10 arctan left inverse of tangent Definition
  112.    wt: 5:   9 motivation for name arcsin
  113.    wt: 5:   8 arcsin left inverse of sine Graph
  114.    wt: 5:   7 arcsin left inverse of sine Definition
  115.    wt: 5:   6 Graph of arccos function
  116.    wt: 5:   5 Swapping Coordinates is a reflection
  117.    wt: 5:   4 possible motivation for term arccos
  118.    wt: 5:   3 Left Inverse of cosine arccos definition
  119.    wt: 5:   2 cosine function more properties
  120.    wt: 5:   1 cosine function properties
  121.    wt: 5:   9 Summary Degrees to Radians and back
  122.    wt: 5:   6 Radian Measure to Degrees
  123.    wt: 5:   5 Degrees to Radian Measure
  124.    wt: 5:   2 Radian Measure Numerical Value of one degree
  125.    wt: 5:   1 Degrees and Radians Introduction
  126.    wt: 5:   4 graphing y=Asin(x c)
  127.    wt: 5:   3 graphing y=f(x c) plus K
  128.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  129.    wt: 5:   1 graphing y=f(x a)
  130.    wt: 5:   Parallel Lines and Parallel Transversals
  131.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  132.    wt: 5:   Straight Lines ASA Intersection Study More
  133.    wt: 5:   Straight Lines ASA Intersection Study
  134.    wt: 5:   Straight Lines Instersection Solving Equations
  135.    wt: 5:   Straight Lines Intersection of
  136.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  137.    wt: 5:   C Straight Lines Slope from Coordinates
  138.    wt: 5:   B Straight Line Slope Scaling Properties More
  139.    wt: 5:   A Straight Line Slope Scaling Properties
  140.    wt: 5:   14 Straight Lines Equations General Case
  141.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  142.    wt: 5:   12 Straight Lines Graphing mx plus b
  143.    wt: 5:   11 Straight Lines Graphing y=mx
  144.    wt: 5:   10 Straight Lines through Origin Equations More
  145.    wt: 5:   9 Straight Lines through Origin Equations
  146.    wt: 5:   8 Straight Lines Equation for vertical
  147.    wt: 5:   7 Tangent Function is odd on this domain
  148.    wt: 5:   5 Tangent Function Graph
  149.    wt: 5:   4 Tangent Function Properties
  150.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  151.    wt: 5:   1 Straight Lines Slope Concept
  152.    wt: 5:   21 Logarithms Powers and Exponentials
  153.    wt: 5:   20 N th Roots of Complex Numbers
  154.    wt: 5:   19 N th Roots of Unity
  155.    wt: 5:   18 Sixth Roots of Unity
  156.    wt: 5:   17 Cube Roots of unity
  157.    wt: 5:   16 References and Originality Question
  158.    wt: 5:   15 Pythagorean Theorem Converse
  159.    wt: 5:   14 Law of cosines
  160.    wt: 5:   13 Trig Formulas for dot and cross Products
  161.    wt: 5:   12 cis formulas for sine cosines and tangent
  162.    wt: 5:   9 The complex number valued trig function cis
  163.    wt: 5:   7 Second Way to Calculate Products
  164.    wt: 5:   6 Field Properties of Complex Number
  165.    wt: 5:   5 An Easy Proof of the Distributive Law
  166.    wt: 5:   4 Multiplication Properties
  167.    wt: 5:   3 Addition Properties
  168.    wt: 5:   1 Rectangular Polar Coordinates Review
  169.    wt: 5:   Appetizer A Complex Number Applet
  170.    wt: 5:   7 Translations Rotations Reflections Dilatations
  171.    wt: 5:   6 Geometric Diagrams in Class
  172.    wt: 5:   4 Similarity Definition with Coordinate
  173.    wt: 5:   3 Similarity by Design with coordinates
  174.    wt: 5:   2 Similarity By Design
  175.    wt: 5:   1 Early Concept of Like or Similar Shapes
  176.    wt: 5:   Four Simple Exercises
  177.    wt: 5:   12 Links Lessons elsewhere
  178.    wt: 5:   11 A Partial Summary
  179.    wt: 5:   10 Midpoint of [a b] and [b a]
  180.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  181.    wt: 5:   8 Mid Point Formula
  182.    wt: 5:   7 Exercises to test skill and concept mastery
  183.    wt: 5:   6 Intersection of lines by solving linear systems
  184.    wt: 5:   5 Algebraic View of Slopes
  185.    wt: 5:   4 Equations for lines three forms
  186.    wt: 5:   3 Slope product for perpendicular lines
  187.    wt: 5:   1 Numerical view of lines and their equations
  188.    wt: 5:   What is and is not here
  189.    wt: 5:   13 Pythagorean spatial distance formulas
  190.    wt: 5:   12 Spatial Coordinates
  191.    wt: 5:   10 Pythagorean plane distance formula
  192.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  193.    wt: 5:   8 Distance Between Points on a Line
  194.    wt: 5:   7 Complex Numbers Appetizer
  195.    wt: 5:   6 Polar Multiplication and Rotation
  196.    wt: 5:   5 Cartesian Addition and Translation
  197.    wt: 5:   4 Polar Coordinates to and from
  198.    wt: 5:   3 Rectangular Coordinates Review
  199.    wt: 5:   1 Cartesian Coordinates sans signs
  200.    wt: 5:   About Folder Contents
  201.    wt: 3:   2 Division with Single Digit Divisors
  202.    wt: 3:   2 One Digit Multipliers
  203.    wt: 3:   2 Subtraction Easy Case Examples
  204.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  205.    wt: 2:   3 Euclidean Geometry Leanly
  206.    wt: 2:   Maps Plans Drawings
  207.    wt: 2:   2 More and Less Than with Unlike Signs
  208.    wt: 2:   8 GCD from Euclidean Algorithm
  209.    wt: 2:   3 signed coordinates for maps and planes
  210.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  211.    wt: 2:   2 Prime and Composites less than 16
  212.    wt: 2:   Long Division Backwards more
  213.    wt: 2:   Long Division Backward
  214.    wt: 2:   Division with Counts and Length
  215.    wt: 2:   Long Division forwards and backwards Example 3
  216.    wt: 2:   Long Division forwards and backwards Example 2
  217.    wt: 2:   Long Division forwards and backwards Example 1
  218.    wt: 2:   12 Why Long Division Works Take III
  219.    wt: 2:   11 Another Single Digit Divisor Example
  220.    wt: 2:   10 Division by Five Long and Short Ways
  221.    wt: 2:   9 Why Long Division Works Take II
  222.    wt: 2:   8 Correcting the Mistake
  223.    wt: 2:   7 Long Divison Mistake Catching
  224.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  225.    wt: 2:   5 Long Division Include Zeroes or not
  226.    wt: 2:   4 Division with 2 Digit Divsors
  227.    wt: 2:   3 Division Single Digit Divisor Example
  228.    wt: 2:   1 Divsion Physical Examples
  229.    wt: 2:   D Decimal Multiplication Methods Derived
  230.    wt: 2:   C Counting Areas with Powers of Ten
  231.    wt: 2:   B Powers of Ten
  232.    wt: 2:   A Elementary Basis for Multiplication Methods
  233.    wt: 2:   6 Multiplication Commutes Order Not Important
  234.    wt: 2:   5 Decimal Fraction Multiplication
  235.    wt: 2:   4 Two and Three Digit Multipliers
  236.    wt: 2:   3 More One Digit Multipliers
  237.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  238.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  239.    wt: 2:   Video Power Notation in Decimal Expansion
  240.    wt: 2:   1 Why 3 times 5 gives 15
  241.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  242.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  243.    wt: 2:   Subtraction with J Conversions Example
  244.    wt: 2:   Subtraction Another Video Lesson
  245.    wt: 2:   9 22 Minute Subtraction Review Video
  246.    wt: 2:   8 Subtraction with Units of Measure
  247.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  248.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  249.    wt: 2:   5 A Tip for Efficent Subtraction
  250.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  251.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  252.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  253.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  254.    wt: 2:   8 What skills and work habits to require
  255.    wt: 2:   7 Adding decimal fractions using decimal point
  256.    wt: 2:   6. Counting and adding units and mixed units
  257.    wt: 2:   5. How to add decimals C. Examples
  258.    wt: 2:   4. How to add with decimals B with conversions
  259.    wt: 2:   3. How to add with decimals A sans conversions
  260.    wt: 2:   2 Decimal Counting Practices
  261.    wt: 2:   1. Explaining Addition Table
  262.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  263.    wt: 1:   Ramblings Extrinsic numbers theory
  264.    wt: 1:   Skills Chapter 2 Geometry
  265.    wt: 1:   8 analytic geometry etc
  266.    wt: 1:   About site lesson plans
  267.    wt: 1:   Theory of Knowledge
  268.    wt: 1:   2 Conductance Resistance Duality02
  269.    wt: 1:   2 Reading and Writing Skills
  270.    wt: 1:   Ages 12 to 14 Geometry
  271.    wt: 1:   Ages 10 to 12 Geometry
  272.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  273.    wt: 1:   20 Interchanging coordinates a reflection
  274.    wt: 1:   9 Set theory term relation possible origins
  275.    wt: 1:   19 Signed Multiples of Vectors
  276.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  277.    wt: 1:   13 Arrows and Vectors in a Plane
  278.    wt: 1:   2 Combing Counts Addition Skills and Principles
  279.    wt: 1:   5 Areas of Rectangles Revisited
  280.    wt: 1:   2 Algebraic View
  281.    wt: 1:   5 Triangle Area Formula Backwards
  282.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  283.    wt: 1:   8 Coordinates for Maps and Planes
  284.    wt: 1:   2 GE II Comparison
  285.    wt: 1:   2 Essentially one exercises three with solution
  286.    wt: 1:   2 Three Examples
  287.    wt: 1:   2 Three Examples
  288.    wt: 1:   3 Triangle Area Formula Example
  289.    wt: 1:   2 Another Rectangle Area Formula Example
  290.    wt: 1:   arithmetic videos Real Player Format
  291.    wt: 1:   4 Greater More Less Than Signs in General
  292.    wt: 1:   3 Comparison of Negative Numbers
  293.    wt: 1:   1 More and Less Than for Counts and Measures
  294.    wt: 1:   5 Square Roots with primes more still
  295.    wt: 1:   4 Square Roots with primes more
  296.    wt: 1:   3 Properties of Square Roots with example
  297.    wt: 1:   2 Square Roots with Prime
  298.    wt: 1:   1 Squares and Square Roots Introduction
  299.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  300.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  301.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  302.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  303.    wt: 1:   13 GCD from given Prime Factorization
  304.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  305.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  306.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  307.    wt: 1:   7 GCD and LCM from prime factorization
  308.    wt: 1:   6 GCD from Prime
  309.    wt: 1:   5 Common Divisors 60 45 via Prime
  310.    wt: 1:   4 LCM of 8 and 10 via Prime
  311.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  312.    wt: 1:   2 Least Common Multiple LCM intro via list method
  313.    wt: 1:   1 Least Common Multiples LCM Introduction
  314.    wt: 1:   12 GCD 2700 288 via Prime
  315.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  316.    wt: 1:   4 Counting with Trees Product Rule Take I
  317.    wt: 1:   3 Counting with Tables and Trees II
  318.    wt: 1:   2 Counting with Tables and Trees I
  319.    wt: 1:   1 Counting and Counting Methods I
  320.    wt: 1:   11 What are real lengths and numbers
  321.    wt: 1:   10 dividing signed numbers
  322.    wt: 1:   9 subtracting signed numbers
  323.    wt: 1:   8 multiplying signed numbers
  324.    wt: 1:   7 negative and additive inverse
  325.    wt: 1:   6 adding signed numbers
  326.    wt: 1:   5 lengths and signs of numbers
  327.    wt: 1:   4 signed coordinates for regions in space
  328.    wt: 1:   2 signed and unsigned numbers as coordinates
  329.    wt: 1:   7 Converting or Changing Units
  330.    wt: 1:   6 Simplification of Fractions with Units
  331.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  332.    wt: 1:   4 Fractions with Units
  333.    wt: 1:   3 Multiplying Units and Numbers
  334.    wt: 1:   2 Equality and Units
  335.    wt: 1:   1 Addition and Subtraction with Units
  336.    wt: 1:   D Three Term Ratios
  337.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  338.    wt: 1:   B Fractions and Two Term Ratios
  339.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  340.    wt: 1:   22 Complex Compound Fractions
  341.    wt: 1:   21 Working With Signs
  342.    wt: 1:   21 Reciprocals for Fractions and Wholes
  343.    wt: 1:   20 Dividing Fractions the Why
  344.    wt: 1:   19 Dividing Fractions How TO
  345.    wt: 1:   18 Efficient Ways to Multiply
  346.    wt: 1:   17 Efficient Ways to Add and Subtract
  347.    wt: 1:   16 Addition Subtraction Comparision Compared
  348.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  349.    wt: 1:   14 Adding and Subtracting with Like Denominators
  350.    wt: 1:   13 Fraction Comparison Algebraic View
  351.    wt: 1:   12 Fraction Comparison
  352.    wt: 1:   11 Simplification an Algebraic View
  353.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  354.    wt: 1:   9 Improper Fractions and Mixed Numbers
  355.    wt: 1:   8 Numerals Fractionals Quantals Take II
  356.    wt: 1:   7 Numerals Fractionals Quantals
  357.    wt: 1:   6 Multiplication of Mixed Numbers
  358.    wt: 1:   6 Multiplication Algebraically Take II
  359.    wt: 1:   5 Equivalent Fractions
  360.    wt: 1:   4 Fraction Multiplication
  361.    wt: 1:   3 Unit fraction of a fraction
  362.    wt: 1:   2 Unit Fraction Multiplication
  363.    wt: 1:   1 What is a fraction Take II
  364.    wt: 1:   1 What is a fraction
  365.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  366.    wt: 1:   D Remainders Modulo 11 Pair Rule
  367.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  368.    wt: 1:   B Integer Long Division Multiple Choices
  369.    wt: 1:   A Associative Law Theorectical Note
  370.    wt: 1:   13 Subtraction with Additive Inverse
  371.    wt: 1:   12 Adding Integers More Examples
  372.    wt: 1:   11 Adding Integers Formulas and Examples
  373.    wt: 1:   10 Integer Multiplication Formulas
  374.    wt: 1:   9 Multiplying Integers
  375.    wt: 1:   8 Multiplication by Signed Numbers Integers
  376.    wt: 1:   7 Multiplication by Signs
  377.    wt: 1:   6 Multiplication by Natural Numbers
  378.    wt: 1:   5 Zero Movement and Additive Inverses
  379.    wt: 1:   4 Adding Movements wiht opposite directions
  380.    wt: 1:   3 Adding Movements with same direction
  381.    wt: 1:   1 Integers as Coordinates
  382.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  383.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  384.    wt: 1:   26 Divisibility by 2 3 5 Example
  385.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  386.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  387.    wt: 1:   23 Remainder Arithmetic Modulo 2
  388.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  389.    wt: 1:   21 Remainder Arithmetic Modulo 3
  390.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  391.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  392.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  393.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  394.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  395.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  396.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  397.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  398.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  399.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  400.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  401.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  402.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  403.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  404.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  405.    wt: 1:   5 Remainder Arithmetic Modulo 5
  406.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  407.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  408.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  409.    wt: 1:   1 Remainder Arithmetic Modulo 10
  410.    wt: 1:   20 Uniqueness of Prime Factorization
  411.    wt: 1:   19 video Prime Factorization Unique
  412.    wt: 1:   18 video Count Factors given Prime Factorization
  413.    wt: 1:   17 Identify and Count Factors using Primes
  414.    wt: 1:   16 video Factors of 980 using prime
  415.    wt: 1:   15 video Factors of 20 using Prime Factorization
  416.    wt: 1:   14 video Factors of 24 Take II
  417.    wt: 1:   13 video Factors of 24 using prime
  418.    wt: 1:   12 LCD GCD and LCM using Primes
  419.    wt: 1:   11 Efficient Square Rule Use
  420.    wt: 1:   10 video Prime Factorization upto 23 squared
  421.    wt: 1:   9 video Prime Factorization upto 19 squared
  422.    wt: 1:   8 video Prime Factorization upto 19
  423.    wt: 1:   7 Calculator Usage Notes and Cautions
  424.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  425.    wt: 1:   5 Prime Factorization and a Square Rule
  426.    wt: 1:   4 video Prime Factorization Introduction
  427.    wt: 1:   3 video Primes and Composites from 9 times table
  428.    wt: 1:   1 video how Products are bigger than factor
  429.    wt: 1:   11 Place Value SI Standard International way
  430.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  431.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  432.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  433.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  434.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  435.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  436.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  437.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  438.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  439.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  440.    wt: 1:   Quick history of numbers and algebra
  441.    wt: 1:   Exact Arithmetic Wholes and Fractions
  442.    wt: 1:   Formula Evaluation how to show work
  443.    wt: 1:   Expression Evaluation how to show work
  444.    wt: 1:   The 20 Times Table
  445.    wt: 1:   The 12 Times Table Visually
  446.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  447.    wt: 1:   About folder contents
  448.    wt: 1:   10 Three one sided limits with infinite values
  449.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  450.    wt: 1:   C Triangle Inequalities
  451.    wt: 1:   Chapter 23 Links To Trigonometry
  452.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  453.    wt: 1:   Chapter 7 Two Treatments of Geometry
  454.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  455.    wt: 1:   Chapter 6 More Algebra and Geometry
  456.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  457.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  458.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  459.    wt: 15:   13 Angle Side Angle Failure
  460.    wt: 15:   12 Side Angle Side Failure
  461.    wt: 14:   7 Angle Side Angle
  462.    wt: 14:   5 Side Angle Side
  463.    wt: 14:   4 Side Side Side
  464.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  465.    wt: 13:   17 Right Bisectors of Triangle Sides
  466.    wt: 13:   15 Triangle Angle Sum is 180 degrees
  467.    wt: 13:   2 Correspondence between Triangles
  468.    wt: 13:   Short Course on Euclidean Geometry
  469.    wt: 12:   PS C Similarity Use Recognize it in Trigonometry
  470.    wt: 12:   19 Right Triangle Similarity
  471.    wt: 12:   18 Triangle Similarity Take 1
  472.    wt: 12:   16 Angles Subtended By Chords and Diameters
  473.    wt: 12:   11 Triangle Construction Fails
  474.    wt: 12:   8 Isoceles Triangles
  475.    wt: 12:   6 Ruler and compass Angle Bisection
  476.    wt: 12:   3 Isometry of Triangles Congruence
  477.    wt: 11:   PS H Distributive Law For Complex Numbers
  478.    wt: 11:   PS G Rotation Distributes over Addition
  479.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  480.    wt: 11:   PS E Multiplication with Polar Coordinates
  481.    wt: 11:   PS D Addition with Cartesian Coordinates
  482.    wt: 11:   PS B Parallelogram Construction Methods
  483.    wt: 11:   PS A Kite Construction Methods
  484.    wt: 11:   21 Parallelograms
  485.    wt: 11:   14 Parallel Lines Postulate
  486.    wt: 11:   10 Dropping a perpendicular to line
  487.    wt: 11:   9 Construction of a right bisector
  488.    wt: 11:   1 Initial Concepts and Terms
  489.    wt: 10:   4 Angles on Maps Plans drawn to scale

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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