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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38 matches:

  1.    wt: 8:   8 Unit Circle Trigonometry/
  2.    wt: 7:   4 Lines and Slopes Take 1/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  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: 3:   D Decimal Long Division Methods/
  18.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  19.    wt: 2:   4 Functions/
  20.    wt: 2:   1 Five Polynomial Operations/
  21.    wt: 2:   Step 4 Gaussian Elimination/
  22.    wt: 2:   8 Arithmetic with Signed Numbers/
  23.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  24.    wt: 1:   3 Quadratics Geometrically/
  25.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  26.    wt: 1:   More Algebra/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   4 Computation Rules and Function Notation/
  29.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  30.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   3 Solving Linear Equations/
  33.    wt: 1:   5 Lessons on Integration/
  34.    wt: 1:   4 Lessons on Using Derivatives/
  35.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  36.    wt: 1:   Volume 2 Three Skills For Algebra/
  37.    wt: 1:   Secondary Mathematics A Practical Approach/
  38.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

92 matches:

  1.    wt: 5:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 5:   4 Polynomials Long division linear divisor
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   chapitre 04 08 Limitations et benefices
  5.    wt: 2:   chapitre 04 04 Parlons de la logique
  6.    wt: 2:   4 Angles on Maps Plans drawn to scale
  7.    wt: 2:   3 Lengths and Areas on Maps and Plans
  8.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  9.    wt: 2:   E Long Division Methods more
  10.    wt: 2:   D Long Division Methods
  11.    wt: 2:   B Integer Long Division Multiple Choices
  12.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  13.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  14.    wt: 2:   Long Division Backwards more
  15.    wt: 2:   Long Division Backward
  16.    wt: 2:   Long Division forwards and backwards Example 3
  17.    wt: 2:   Long Division forwards and backwards Example 2
  18.    wt: 2:   Long Division forwards and backwards Example 1
  19.    wt: 2:   12 Why Long Division Works Take III
  20.    wt: 2:   10 Division by Five Long and Short Ways
  21.    wt: 2:   9 Why Long Division Works Take II
  22.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  23.    wt: 2:   5 Long Division Include Zeroes or not
  24.    wt: 2:   3 Division Single Digit Divisor Example
  25.    wt: 2:   2 Division with Single Digit Divisors
  26.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  27.    wt: 1:   6 polynomials etc
  28.    wt: 1:   About site lesson plans
  29.    wt: 1:   04 29 New Mathematics Curriculum
  30.    wt: 1:   04 25 when to stop or suspend mathemat
  31.    wt: 1:   chapitre 12 00 les iles et division
  32.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  33.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  34.    wt: 1:   chapitre 04 09 Regles accidentelles
  35.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  36.    wt: 1:   chapitre 04 06 engagements
  37.    wt: 1:   chapitre 04 05 Implication versus suggestion
  38.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  39.    wt: 1:   chapitre 04 02 Deuxieme enigme
  40.    wt: 1:   chapitre 04 01 Premiere enigme
  41.    wt: 1:   chapitre 04 00 Les regles d implication
  42.    wt: 1:   3 Energy Power Heat08
  43.    wt: 1:   D Energy Power04
  44.    wt: 1:   F Wire Resistance Calculation04
  45.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  46.    wt: 1:   3 Polynomials Multiplication Addition
  47.    wt: 1:   1 Polynomials Distributive Law
  48.    wt: 1:   13 Velocity Vectors in Physics
  49.    wt: 1:   8 Parallel Vectors
  50.    wt: 1:   6 Vectors with Coordinates
  51.    wt: 1:   3 Navigation with Arrows or Vectors
  52.    wt: 1:   Unit Circle Development of Trigonometry
  53.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  54.    wt: 1:   8 Unit Circle Development of Trigonometry
  55.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  56.    wt: 1:   Why Trigonometry the whyslopes view
  57.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  58.    wt: 1:   6 Intersection of lines by solving linear systems
  59.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  60.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  61.    wt: 1:   6 Figuring with Maps Not to Scale
  62.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  63.    wt: 1:   19 Signed Multiples of Vectors
  64.    wt: 1:   13 Arrows and Vectors in a Plane
  65.    wt: 1:   9 Division with Digits after Decimal Point
  66.    wt: 1:   8 Division and Mulplication of Compound Fractions
  67.    wt: 1:   3 Linear Equation Literal Solution More
  68.    wt: 1:   2 Linear Equation Literal Solution
  69.    wt: 1:   4 Subtraction and Division Axioms
  70.    wt: 1:   15 Real Number Division
  71.    wt: 1:   8 Coordinates for Maps and Planes
  72.    wt: 1:   5 Common Divisors 60 45 via Prime
  73.    wt: 1:   3 signed coordinates for maps and planes
  74.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  75.    wt: 1:   Division with Counts and Length
  76.    wt: 1:   11 Another Single Digit Divisor Example
  77.    wt: 1:   7 Long Divison Mistake Catching
  78.    wt: 1:   4 Division with 2 Digit Divsors
  79.    wt: 1:   012 Division of Time Intervals by Time Intervals
  80.    wt: 1:   011 Division of Time Intervals By Numbers
  81.    wt: 1:   6 How long is a million seconds
  82.    wt: 1:   22 Chain Rule for polynomials
  83.    wt: 1:   19 Chain Rule for linear functions
  84.    wt: 1:   8 Differentiation of polynomials
  85.    wt: 1:   Chapter 23 Links To Trigonometry
  86.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  87.    wt: 1:   Chapter 15. Solving Linear Equations
  88.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  89.    wt: 1:   Chapter 4 Longer Chains of Reason
  90.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  91.    wt: 1:   Chapter 7 Longer Chains of Reason
  92.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

610 matches:

  1.    wt: 9:   4 Polynomials Long division linear divisor
  2.    wt: 9:   8 Parallel Vectors
  3.    wt: 9:   11 tangent function undefined when terminal side vertical
  4.    wt: 9:   7 period of sine and cosine
  5.    wt: 9:   Unit Circle Development of Trigonometry
  6.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 9:   8 Mid Point Formula
  8.    wt: 9:   4 Equations for lines three forms
  9.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  10.    wt: 9:   3 Lengths and Areas on Maps and Plans
  11.    wt: 8:   5 Polynomials Long division Nonlinear divisor
  12.    wt: 8:   4 Resultant of a Sum of Movements
  13.    wt: 8:   17 tangent function angle sum formulas
  14.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  15.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  16.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  17.    wt: 8:   32 seven rows of pascals triangle
  18.    wt: 8:   31 basic secant cosecant cotangent trig identities
  19.    wt: 8:   30 unit circle calculation of six trigonometric functions
  20.    wt: 8:   29 secant cosecant and cotangent for acute angles
  21.    wt: 8:   28 Expressing products of sines cosines as sums
  22.    wt: 8:   27 Logarithmic use of products of sines and cosines
  23.    wt: 8:   26 Formulas for products of sines and cosines
  24.    wt: 8:   25 tangent double angle formula Slope connection
  25.    wt: 8:   24 tangent Angle Difference Formula
  26.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  27.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  28.    wt: 8:   21 sine and cosine Half Angle Formulas
  29.    wt: 8:   20 sine and cosine Double Angle Formulas
  30.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  31.    wt: 8:   18 sum of sinusoidal waves as a single wave
  32.    wt: 8:   17G Pythagorean Theorem Converse
  33.    wt: 8:   17F Law of cosines
  34.    wt: 8:   17E Trig Formulas for dot and cross Products
  35.    wt: 8:   17D cis formulas for sine cosines and tangent
  36.    wt: 8:   17C sine and cosine double triple angle formulas
  37.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  38.    wt: 8:   17A The complex number valued trig function cis
  39.    wt: 8:   16 Right Triangle Complementary Angle Relations
  40.    wt: 8:   15 sine cosine Complementary Angle Relations
  41.    wt: 8:   14 cosine even and sine and tangent are odd
  42.    wt: 8:   13 Graph of tangent function many periods
  43.    wt: 8:   12 Graph of tangent function for one period
  44.    wt: 8:   10 Graphs of sines and cosines many periods
  45.    wt: 8:   9 Graphs of sine and cosine over one period
  46.    wt: 8:   8 period of tangent function
  47.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  48.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  49.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  50.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  51.    wt: 8:   2 Quadrant I reference Angles
  52.    wt: 8:   1 Unit Points Reflections Rotations
  53.    wt: 8:   8 Unit Circle Development of Trigonometry
  54.    wt: 8:   6 Intersection of lines by solving linear systems
  55.    wt: 8:   6 Figuring with Maps Not to Scale
  56.    wt: 7:   13 Velocity Vectors in Physics
  57.    wt: 7:   6 Vectors with Coordinates
  58.    wt: 7:   5 Head To Tail Arrow Addition
  59.    wt: 7:   3 Navigation with Arrows or Vectors
  60.    wt: 7:   4 Multiplication Properties
  61.    wt: 7:   8 Triangles Cascade Problem Solving
  62.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  63.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  64.    wt: 7:   Why Trigonometry the whyslopes view
  65.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  66.    wt: 7:   Four Simple Exercises
  67.    wt: 7:   12 Links Lessons elsewhere
  68.    wt: 7:   11 A Partial Summary
  69.    wt: 7:   10 Midpoint of [a b] and [b a]
  70.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  71.    wt: 7:   7 Exercises to test skill and concept mastery
  72.    wt: 7:   5 Algebraic View of Slopes
  73.    wt: 7:   3 Slope product for perpendicular lines
  74.    wt: 7:   2 point slope equation for a line
  75.    wt: 7:   1 Numerical view of lines and their equations
  76.    wt: 7:   What is and is not here
  77.    wt: 7:   8 Distance Between Points on a Line
  78.    wt: 7:   4 Polar Coordinates to and from
  79.    wt: 7:   8 Isoceles Triangles
  80.    wt: 7:   4 Side Side Side
  81.    wt: 7:   A Measurement with Ruler Proper Use
  82.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  83.    wt: 7:   2 Measuring Area Directly
  84.    wt: 7:   1 Length Measurement
  85.    wt: 6:   A Global Time and Navigation
  86.    wt: 6:   15 Dot and Cross Product
  87.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  88.    wt: 6:   12 From Applied To Pure Mathematics
  89.    wt: 6:   11 Component Method
  90.    wt: 6:   10 Parallelogram Addition Method
  91.    wt: 6:   9 Head to Tail Coordinate View
  92.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  93.    wt: 6:   2 Signed Coordinates
  94.    wt: 6:   1 Unsigned Coordinates
  95.    wt: 6:   Vector and Complex Number Applet
  96.    wt: 6:   4 graphing y=Asin(x c)
  97.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  98.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  99.    wt: 6:   Straight Lines ASA Intersection Study More
  100.    wt: 6:   Straight Lines ASA Intersection Study
  101.    wt: 6:   Straight Lines Instersection Solving Equations
  102.    wt: 6:   7 Trignometric Ratios Unit Circle
  103.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  104.    wt: 6:   3 Trigonometric Ratios sine and cosine
  105.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  106.    wt: 6:   1 Angle Measurement with Degrees
  107.    wt: 6:   8 Similarity of Triangles and Polygons
  108.    wt: 6:   4 Similarity Definition with Coordinate
  109.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  110.    wt: 6:   4 Division with 2 Digit Divsors
  111.    wt: 5:   16 cotangent function Definition Graph and Inverse
  112.    wt: 5:   15 cosecant function Definition Graph and Inverse
  113.    wt: 5:   14 secant function Definition Graph and Inverse
  114.    wt: 5:   13 cosecant function Definition Graph and Inverse
  115.    wt: 5:   12 motivation for term arctan
  116.    wt: 5:   11 arctan left inverse of tangent Graph
  117.    wt: 5:   10 arctan left inverse of tangent Definition
  118.    wt: 5:   9 motivation for name arcsin
  119.    wt: 5:   8 arcsin left inverse of sine Graph
  120.    wt: 5:   7 arcsin left inverse of sine Definition
  121.    wt: 5:   6 Graph of arccos function
  122.    wt: 5:   5 Swapping Coordinates is a reflection
  123.    wt: 5:   4 possible motivation for term arccos
  124.    wt: 5:   3 Left Inverse of cosine arccos definition
  125.    wt: 5:   2 cosine function more properties
  126.    wt: 5:   1 cosine function properties
  127.    wt: 5:   9 Summary Degrees to Radians and back
  128.    wt: 5:   8 Radian Measures of Common Angles
  129.    wt: 5:   7 Radian Measures in special Triangles
  130.    wt: 5:   6 Radian Measure to Degrees
  131.    wt: 5:   5 Degrees to Radian Measure
  132.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  133.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  134.    wt: 5:   2 Radian Measure Numerical Value of one degree
  135.    wt: 5:   1 Degrees and Radians Introduction
  136.    wt: 5:   3 graphing y=f(x c) plus K
  137.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  138.    wt: 5:   1 graphing y=f(x a)
  139.    wt: 5:   Parallel Lines and Parallel Transversals
  140.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  141.    wt: 5:   Triangle Angles Sum To 180 Degrees
  142.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  143.    wt: 5:   Parallel Lines and Interior Angles
  144.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  145.    wt: 5:   Straight Lines Intersection of
  146.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  147.    wt: 5:   C Straight Lines Slope from Coordinates
  148.    wt: 5:   B Straight Line Slope Scaling Properties More
  149.    wt: 5:   A Straight Line Slope Scaling Properties
  150.    wt: 5:   14 Straight Lines Equations General Case
  151.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  152.    wt: 5:   12 Straight Lines Graphing mx plus b
  153.    wt: 5:   11 Straight Lines Graphing y=mx
  154.    wt: 5:   10 Straight Lines through Origin Equations More
  155.    wt: 5:   9 Straight Lines through Origin Equations
  156.    wt: 5:   8 Straight Lines Equation for vertical
  157.    wt: 5:   7 Tangent Function is odd on this domain
  158.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  159.    wt: 5:   5 Tangent Function Graph
  160.    wt: 5:   4 Tangent Function Properties
  161.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  162.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  163.    wt: 5:   1 Straight Lines Slope Concept
  164.    wt: 5:   21 Logarithms Powers and Exponentials
  165.    wt: 5:   20 N th Roots of Complex Numbers
  166.    wt: 5:   19 N th Roots of Unity
  167.    wt: 5:   18 Sixth Roots of Unity
  168.    wt: 5:   17 Cube Roots of unity
  169.    wt: 5:   16 References and Originality Question
  170.    wt: 5:   15 Pythagorean Theorem Converse
  171.    wt: 5:   14 Law of cosines
  172.    wt: 5:   13 Trig Formulas for dot and cross Products
  173.    wt: 5:   12 cis formulas for sine cosines and tangent
  174.    wt: 5:   11 sine and cosine double triple angle formulas
  175.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  176.    wt: 5:   9 The complex number valued trig function cis
  177.    wt: 5:   7 Second Way to Calculate Products
  178.    wt: 5:   6 Field Properties of Complex Number
  179.    wt: 5:   5 An Easy Proof of the Distributive Law
  180.    wt: 5:   3 Addition Properties
  181.    wt: 5:   2 Complex Numbers made easier we hope
  182.    wt: 5:   1 Rectangular Polar Coordinates Review
  183.    wt: 5:   Appetizer A Complex Number Applet
  184.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  185.    wt: 5:   12 Triangles Similarity More Problems
  186.    wt: 5:   11 Triangle Similarity Missing Side Problem
  187.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  188.    wt: 5:   9 Similarity of Triangles Usual Criteria
  189.    wt: 5:   7 Translations Rotations Reflections Dilatations
  190.    wt: 5:   6 Geometric Diagrams in Class
  191.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  192.    wt: 5:   3 Similarity by Design with coordinates
  193.    wt: 5:   2 Similarity By Design
  194.    wt: 5:   1 Early Concept of Like or Similar Shapes
  195.    wt: 5:   13 Pythagorean spatial distance formulas
  196.    wt: 5:   12 Spatial Coordinates
  197.    wt: 5:   11 Triangle Inequality
  198.    wt: 5:   10 Pythagorean plane distance formula
  199.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  200.    wt: 5:   7 Complex Numbers Appetizer
  201.    wt: 5:   6 Polar Multiplication and Rotation
  202.    wt: 5:   5 Cartesian Addition and Translation
  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:   PS B Parallelogram Construction Methods
  213.    wt: 5:   PS A Kite Construction Methods
  214.    wt: 5:   21 Parallelograms
  215.    wt: 5:   19 Right Triangle Similarity
  216.    wt: 5:   18 Triangle Similarity Take 1
  217.    wt: 5:   17 Right Bisectors of Triangle Sides
  218.    wt: 5:   16 Angles Subtended By Chords and Diameters
  219.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  220.    wt: 5:   14 Parallel Lines Postulate
  221.    wt: 5:   13 Angle Side Angle Failure
  222.    wt: 5:   12 Side Angle Side Failure
  223.    wt: 5:   11 Triangle Construction Fails
  224.    wt: 5:   10 Dropping a perpendicular to line
  225.    wt: 5:   9 Construction of a right bisector
  226.    wt: 5:   7 Angle Side Angle
  227.    wt: 5:   6 Ruler and compass Angle Bisection
  228.    wt: 5:   5 Side Angle Side
  229.    wt: 5:   3 Isometry of Triangles Congruence
  230.    wt: 5:   2 Correspondence between Triangles
  231.    wt: 5:   1 Initial Concepts and Terms
  232.    wt: 5:   Short Course on Euclidean Geometry
  233.    wt: 5:   About Folder Contents
  234.    wt: 5:   Long Division Backwards more
  235.    wt: 5:   Long Division Backward
  236.    wt: 5:   Long Division forwards and backwards Example 3
  237.    wt: 5:   Long Division forwards and backwards Example 2
  238.    wt: 5:   Long Division forwards and backwards Example 1
  239.    wt: 5:   12 Why Long Division Works Take III
  240.    wt: 5:   10 Division by Five Long and Short Ways
  241.    wt: 5:   9 Why Long Division Works Take II
  242.    wt: 5:   8 Correcting the Mistake
  243.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  244.    wt: 5:   5 Long Division Include Zeroes or not
  245.    wt: 5:   3 Division Single Digit Divisor Example
  246.    wt: 5:   2 Division with Single Digit Divisors
  247.    wt: 4:   8 Set view of relations and functions
  248.    wt: 4:   4 Function notation in and beyond mathematics
  249.    wt: 4:   8 Notes for instructors or tutors
  250.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  251.    wt: 4:   3 Polynomials Multiplication Addition
  252.    wt: 4:   1 Polynomials Distributive Law
  253.    wt: 4:   4 GE III Animated Examples
  254.    wt: 4:   8 multiplying signed numbers
  255.    wt: 4:   4 signed coordinates for regions in space
  256.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  257.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  258.    wt: 4:   Division with Counts and Length
  259.    wt: 4:   11 Another Single Digit Divisor Example
  260.    wt: 4:   7 Long Divison Mistake Catching
  261.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  262.    wt: 3:   7 Links Lessons Elsewhere
  263.    wt: 3:   2 Column Multiplication Method
  264.    wt: 3:   4 Solving a triangular system exercise
  265.    wt: 3:   4 Four Examples Fractional Coefficients
  266.    wt: 3:   8 One Example
  267.    wt: 3:   4 Two Examples
  268.    wt: 3:   3 signed coordinates for maps and planes
  269.    wt: 3:   26 Divisibility by 2 3 5 Example
  270.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  271.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  272.    wt: 3:   23 Remainder Arithmetic Modulo 2
  273.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  274.    wt: 3:   21 Remainder Arithmetic Modulo 3
  275.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  276.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  277.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  278.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  279.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  280.    wt: 3:   1 Divsion Physical Examples
  281.    wt: 3:   Chapter 4 Longer Chains of Reason
  282.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  283.    wt: 2:   Maps Plans Drawings
  284.    wt: 2:   chapitre 04 08 Limitations et benefices
  285.    wt: 2:   chapitre 04 04 Parlons de la logique
  286.    wt: 2:   8 The Effect of Negative Remarks
  287.    wt: 2:   4 Learning Takes Time and Effort
  288.    wt: 2:   sign monoticity analysis example 4
  289.    wt: 2:   sign monoticity analysis example 3
  290.    wt: 2:   sign monoticity analysis example 2
  291.    wt: 2:   sign monoticity analysis example 1
  292.    wt: 2:   26 Function definitions done and coming
  293.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  294.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  295.    wt: 2:   23 Inverse Functions
  296.    wt: 2:   22 Square Root function graphically
  297.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  298.    wt: 2:   20 Interchanging coordinates a reflection
  299.    wt: 2:   19 Horizontal line rule and method
  300.    wt: 2:   18 Vertical Line Rule and Method
  301.    wt: 2:   17 Function maxima minima and their location
  302.    wt: 2:   16 Increasing or decreasing on intervals
  303.    wt: 2:   15 Sign analysis of functions
  304.    wt: 2:   14 Surjections Injections Bijections
  305.    wt: 2:   13 From one to one to many to one
  306.    wt: 2:   12 Function Domain Recognition Exercises
  307.    wt: 2:   11 Function Domain Range Source and Targets
  308.    wt: 2:   10 Interval Notation
  309.    wt: 2:   9 Set theory term relation possible origins
  310.    wt: 2:   7 Functions with finite domains
  311.    wt: 2:   6 Set Existence Formation and Notation
  312.    wt: 2:   5 Function notation for geometric transformations
  313.    wt: 2:   3 Formula or function graphing exercise
  314.    wt: 2:   2 Algebraic use of function notation
  315.    wt: 2:   1 Geometric Introduction of Function Notation
  316.    wt: 2:   Introduction Reading Guide
  317.    wt: 2:   8 quadratics backward use of various formulas
  318.    wt: 2:   4 quadratics difference of two squares
  319.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  320.    wt: 2:   8 Division and Mulplication of Compound Fractions
  321.    wt: 2:   E Long Division Methods more
  322.    wt: 2:   D Long Division Methods
  323.    wt: 2:   4 Commutative Law Groups Counting Form
  324.    wt: 2:   4 Rates Ratios and Proporitionality
  325.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  326.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  327.    wt: 2:   3 Linear Equation Literal Solution More
  328.    wt: 2:   2 Linear Equation Literal Solution
  329.    wt: 2:   4 Subtraction and Division Axioms
  330.    wt: 2:   8 Coordinates for Maps and Planes
  331.    wt: 2:   4 Changing Letters
  332.    wt: 2:   Simple Exercises
  333.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  334.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  335.    wt: 2:   3 GE III Equation Addition and Multiplication
  336.    wt: 2:   2 GE II Comparison
  337.    wt: 2:   1 GE Substitution four examples
  338.    wt: 2:   4 Greater More Less Than Signs in General
  339.    wt: 2:   11 What are real lengths and numbers
  340.    wt: 2:   10 dividing signed numbers
  341.    wt: 2:   9 subtracting signed numbers
  342.    wt: 2:   7 negative and additive inverse
  343.    wt: 2:   6 adding signed numbers
  344.    wt: 2:   5 lengths and signs of numbers
  345.    wt: 2:   2 signed and unsigned numbers as coordinates
  346.    wt: 2:   B Integer Long Division Multiple Choices
  347.    wt: 2:   8 Multiplication by Signed Numbers Integers
  348.    wt: 2:   4 Adding Movements wiht opposite directions
  349.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  350.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  351.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  352.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  353.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  354.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  355.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  356.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  357.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  358.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  359.    wt: 2:   5 Remainder Arithmetic Modulo 5
  360.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  361.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  362.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  363.    wt: 2:   1 Remainder Arithmetic Modulo 10
  364.    wt: 2:   8 video Prime Factorization upto 19
  365.    wt: 2:   4 video Prime Factorization Introduction
  366.    wt: 2:   4 Two and Three Digit Multipliers
  367.    wt: 2:   8 Subtraction with Units of Measure
  368.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  369.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  370.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  371.    wt: 2:   A Related Material in Volume 3
  372.    wt: 2:   4 Definite Integrals Evaluation Exercises
  373.    wt: 2:   2 Indefinite Integrals Exercises
  374.    wt: 2:   4 Second derivative test exercise example
  375.    wt: 2:   3 Second derivative test
  376.    wt: 2:   8 Differentiation of polynomials
  377.    wt: 2:   8 Four Animated Examples
  378.    wt: 2:   E2 Algebraic Properties of Limits
  379.    wt: 2:   C Triangle Inequalities
  380.    wt: 2:   Chapter 15. Solving Linear Equations
  381.    wt: 2:   Chapter 8 Three Skills For Algebra
  382.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  383.    wt: 2:   Chapter 8 Skipped Topics and Why
  384.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  385.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  386.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  387.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  388.    wt: 1:   8 analytic geometry etc
  389.    wt: 1:   6 polynomials etc
  390.    wt: 1:   4 algebra
  391.    wt: 1:   Teach the teachers plus goals
  392.    wt: 1:   site eurekas
  393.    wt: 1:   About site lesson plans
  394.    wt: 1:   talk the algebra talk
  395.    wt: 1:   geometric implications for algebra
  396.    wt: 1:   04 29 New Mathematics Curriculum
  397.    wt: 1:   04 25 when to stop or suspend mathemat
  398.    wt: 1:   Education in mathematics science and technology
  399.    wt: 1:   Leaner mathematics curriculum
  400.    wt: 1:   chapitre 12 00 les iles et division
  401.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  402.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  403.    wt: 1:   chapitre 04 09 Regles accidentelles
  404.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  405.    wt: 1:   chapitre 04 06 engagements
  406.    wt: 1:   chapitre 04 05 Implication versus suggestion
  407.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  408.    wt: 1:   chapitre 04 02 Deuxieme enigme
  409.    wt: 1:   chapitre 04 01 Premiere enigme
  410.    wt: 1:   chapitre 04 00 Les regles d implication
  411.    wt: 1:   Trois Notions qui menent a algebre
  412.    wt: 1:   4 Energy Power Heat09
  413.    wt: 1:   3 Energy Power Heat08
  414.    wt: 1:   D Energy Power04
  415.    wt: 1:   F Wire Resistance Calculation04
  416.    wt: 1:   G Series Circuit01
  417.    wt: 1:   C Electromotive force conventional current02
  418.    wt: 1:   Ages 8 to 9
  419.    wt: 1:   Ages 4 plus to 5 plus
  420.    wt: 1:   A Quadratics Summary
  421.    wt: 1:   10 quadratic exercises
  422.    wt: 1:   9 quadratics physical and further context
  423.    wt: 1:   7 quadratic formulla derivation
  424.    wt: 1:   6 quadratics numerical approach
  425.    wt: 1:   5 quadratics completing the square
  426.    wt: 1:   3 quadratics factoring by inspection
  427.    wt: 1:   2 quadratics graphing in general
  428.    wt: 1:   1 quadratics graphing exercises
  429.    wt: 1:   Quadratics in 10 steps
  430.    wt: 1:   11 Growth and Decay in Biology
  431.    wt: 1:   10 Exponential Growth and Decay Models
  432.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  433.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  434.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  435.    wt: 1:   5 Natural Logarithm Calculator Exercises
  436.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  437.    wt: 1:   2 Square Root Simplification a prequel
  438.    wt: 1:   1 Calculator Starter Exercises
  439.    wt: 1:   Rewriting algebraic substitution as function substitutions
  440.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  441.    wt: 1:   19 Signed Multiples of Vectors
  442.    wt: 1:   13 Arrows and Vectors in a Plane
  443.    wt: 1:   9 Division with Digits after Decimal Point
  444.    wt: 1:   4 Location of Point in Decimal Addition
  445.    wt: 1:   8 Column Multiplication Methods in General
  446.    wt: 1:   4 Fraction Operations Axiomatic Development
  447.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  448.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  449.    wt: 1:   6 Compound Interest Forward and Backwards
  450.    wt: 1:   5 Triangle Area Formula Backwards
  451.    wt: 1:   1 Changing Calculations
  452.    wt: 1:   4 Comparison of Negative Numbers
  453.    wt: 1:   15 Real Number Division
  454.    wt: 1:   4 Rational Numbers
  455.    wt: 1:   5 Independent versus Dependent Variables
  456.    wt: 1:   3 Geometric Formulas and Function Notation
  457.    wt: 1:   2 Computation Rules Evaluation
  458.    wt: 1:   1 Formulas Dependence and Function Notation
  459.    wt: 1:   More Exercises
  460.    wt: 1:   3 Solving triangular system example
  461.    wt: 1:   2 Essentially one exercises three with solution
  462.    wt: 1:   1 Essentially One Unknown
  463.    wt: 1:   6 Algebraic Solution Example
  464.    wt: 1:   5 Algebraic Solutions Introduction
  465.    wt: 1:   3 Four Examples
  466.    wt: 1:   2 Three Examples
  467.    wt: 1:   1 Proper Equal Sign Usage
  468.    wt: 1:   Skill Development Notes
  469.    wt: 1:   10 One Example
  470.    wt: 1:   9 Three Examples
  471.    wt: 1:   7 Two Examples
  472.    wt: 1:   6 Three Examples
  473.    wt: 1:   5 Three Examples
  474.    wt: 1:   3 Two Examples
  475.    wt: 1:   2 Three Examples
  476.    wt: 1:   Using Letters for Physical Quantities
  477.    wt: 1:   Formula Usage Show Work Format
  478.    wt: 1:   8 Compound Interest Formula Evaluation
  479.    wt: 1:   4 Circle Area Formula Example
  480.    wt: 1:   8 Sets of Numbers
  481.    wt: 1:   4 Subset Builder Notation
  482.    wt: 1:   4 A Brief Story of numbers and algebra
  483.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  484.    wt: 1:   5 Common Divisors 60 45 via Prime
  485.    wt: 1:   1 Least Common Multiples LCM Introduction
  486.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  487.    wt: 1:   14 Adding and Subtracting with Like Denominators
  488.    wt: 1:   4 Fraction Multiplication
  489.    wt: 1:   B Powers of Ten
  490.    wt: 1:   8 What skills and work habits to require
  491.    wt: 1:   4. How to add with decimals B with conversions
  492.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  493.    wt: 1:   012 Division of Time Intervals by Time Intervals
  494.    wt: 1:   011 Division of Time Intervals By Numbers
  495.    wt: 1:   8 Addition of Time Intervals via subtotaling
  496.    wt: 1:   6 How long is a million seconds
  497.    wt: 1:   4 Mixing and Changing Units of Time
  498.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  499.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  500.    wt: 1:   5 Area Under Curve Exercise
  501.    wt: 1:   3 Two Chain Rule Method Exercises
  502.    wt: 1:   1 Chain Rule in Reverse Integration Method
  503.    wt: 1:   A Related lessons in Volume 3
  504.    wt: 1:   2 Second derivative test prequel
  505.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  506.    wt: 1:   34 Derivative of exponential function
  507.    wt: 1:   33 Chain Rule Real Player video examples
  508.    wt: 1:   31 Derivatives of inverse functions
  509.    wt: 1:   30Chain Rule A Proof
  510.    wt: 1:   29 Chain Rule Optional Reading
  511.    wt: 1:   28 Chain Rule Preparation for a Proof
  512.    wt: 1:   22 Chain Rule for polynomials
  513.    wt: 1:   19 Chain Rule for linear functions
  514.    wt: 1:   14 sine and cosine derivatives 2nd step
  515.    wt: 1:   13 sine and cosine derivatives 1st step
  516.    wt: 1:   4 Sum Rule
  517.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  518.    wt: 1:   4 Numerical properties
  519.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  520.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  521.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  522.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  523.    wt: 1:   G.5 Motions With Bounded Velocities
  524.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  525.    wt: 1:   G.3 Constant Difference Theorem Proof
  526.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  527.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  528.    wt: 1:   F.5b Extreme Value Theorem
  529.    wt: 1:   F.5a Equicontinuity Theorems
  530.    wt: 1:   F.4 Finite Covering Theorem
  531.    wt: 1:   F.3 Intermediate Value Theorem
  532.    wt: 1:   F.2 Closed Range Theorem
  533.    wt: 1:   F.1 What Functions are Continuous
  534.    wt: 1:   E1 Error Control Inequalities
  535.    wt: 1:   D2 Limits of Monotone Sequences
  536.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  537.    wt: 1:   B3 Bolzano Weierstrass Theorem
  538.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  539.    wt: 1:   PostScript For and Against Decimal Perspectives
  540.    wt: 1:   A1. Introduction
  541.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  542.    wt: 1:   Chapter 23 Links To Trigonometry
  543.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  544.    wt: 1:   Chapter 8. Slope Interpretation
  545.    wt: 1:   Chapter 4. More Slope Sign Analysis
  546.    wt: 1:   Postscript More on Better Performance
  547.    wt: 1:   Postscript For Better Performance
  548.    wt: 1:   Appendix E. How To Study Mathematics and Why
  549.    wt: 1:   Appendix D. What to do in School and Why
  550.    wt: 1:   Appendix C. How to Read
  551.    wt: 1:   Appendix B. How To Learn
  552.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  553.    wt: 1:   Chapter 31 Direct and Indirect Reason
  554.    wt: 1:   Chapter 30 Truth Tables
  555.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  556.    wt: 1:   Chapter 28 Occurrence Tables
  557.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  558.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  559.    wt: 1:   Chapter 25. Mathematical Induction Examples
  560.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  561.    wt: 1:   Chapter 23. Notation For Sums
  562.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  563.    wt: 1:   Chapter 21. Third Reading Guide
  564.    wt: 1:   Chapter 20. Degrees and Radians
  565.    wt: 1:   Chapter 19. Functions and Sets
  566.    wt: 1:   Chapter 18. Rules for Algebra
  567.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  568.    wt: 1:   Chapter 16. Painless Theorem Proving
  569.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  570.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  571.    wt: 1:   Chapter 13. Second Reading Guide
  572.    wt: 1:   Chapter 12. Shorthand Usage Guide
  573.    wt: 1:   Chapter 11. Why Shorthand
  574.    wt: 1:   Chapter 10 Describing and Changing Calculations
  575.    wt: 1:   Postscript What is a Variable
  576.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  577.    wt: 1:   Solutions For Arithmetic Exercises
  578.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  579.    wt: 1:   Chapter 6 Change of Language
  580.    wt: 1:   Chapter 3 Chains of Reason
  581.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  582.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  583.    wt: 1:   Foreword
  584.    wt: 1:   Chapter 8 Modern Instruction
  585.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  586.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  587.    wt: 1:   Chapter 8 Change of Language
  588.    wt: 1:   Chapter 7 Longer Chains of Reason
  589.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  590.    wt: 1:   H more Routine to non routine problem solving
  591.    wt: 1:   H Jigsaw puzzles and problem solving
  592.    wt: 1:   D. Check work a must with a caution
  593.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  594.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  595.    wt: 1:   Chapter 6 More Algebra and Geometry
  596.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  597.    wt: 1:   Chapter 3 Algebra Starter Lessons
  598.    wt: 1:   Chapter 2 Why Sets
  599.    wt: 1:   Chapter 1 Arithmetic
  600.    wt: 1:   7 Games and Activities for Instruction
  601.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  602.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  603.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  604.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  605.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  606.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  607.    wt: 1:   Road Safety Questions
  608.    wt: 1:   The Math Forum and Site Content
  609.    wt: 1:   Site Reviews
  610.    wt: 10:   4 Angles on Maps Plans drawn to scale
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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