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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32 matches:

  1.    wt: 8:   1 Maps Plans Measurement/
  2.    wt: 7:   11 Parallel Straight Lines and Transversals/
  3.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   8 Unit Circle Trigonometry/
  6.    wt: 6:   6 Trigonometry first steps/
  7.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 5:   12 Function Translating and Rescaling/
  10.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  18.    wt: 2:   10 Examples of Algebraic Reasoning/
  19.    wt: 2:   11 Squares and Square Roots/
  20.    wt: 2:   13 Lessons on Limits and Continuity/
  21.    wt: 1:   Mathematics Education Essays/
  22.    wt: 1:   Volume 1A Regles et modeles/
  23.    wt: 1:   3 Quadratics Geometrically/
  24.    wt: 1:   1 Five Polynomial Operations/
  25.    wt: 1:   Step 1 Stick diagram and fractions/
  26.    wt: 1:   A Decimal Counting and Adding Methods/
  27.    wt: 1:   1 Decimal Place Value/
  28.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  29.    wt: 1:   5 Lessons on Integration/
  30.    wt: 1:   4 Lessons on Using Derivatives/
  31.    wt: 1:   38 Lessons on Calculating Derivatives/
  32.    wt: 1:   70 Calculus Starter Lessons/

Web Page Search

137 matches:

  1.    wt: 3:   10 quadratic exercises
  2.    wt: 2:   Maps Plans Drawings
  3.    wt: 2:   1 quadratics graphing exercises
  4.    wt: 2:   Quadratics in 10 steps
  5.    wt: 2:   4 Angles on Maps Plans drawn to scale
  6.    wt: 2:   3 Lengths and Areas on Maps and Plans
  7.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  8.    wt: 1:   11 pure mathematics
  9.    wt: 1:   10 statistics
  10.    wt: 1:   About site lesson plans
  11.    wt: 1:   Postscript 2007 01 10
  12.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  13.    wt: 1:   11 Help and Defend Your Child or Teens Education
  14.    wt: 1:   10 Ends values for work study instruction
  15.    wt: 1:   Ages 10 to 12 Geometry
  16.    wt: 1:   Ages 10 to 12 Arithmetic
  17.    wt: 1:   Ages 9 to 10
  18.    wt: 1:   12 Function Domain Recognition Exercises
  19.    wt: 1:   11 Function Domain Range Source and Targets
  20.    wt: 1:   10 Interval Notation
  21.    wt: 1:   A Quadratics Summary
  22.    wt: 1:   9 quadratics physical and further context
  23.    wt: 1:   8 quadratics backward use of various formulas
  24.    wt: 1:   7 quadratic formulla derivation
  25.    wt: 1:   6 quadratics numerical approach
  26.    wt: 1:   5 quadratics completing the square
  27.    wt: 1:   4 quadratics difference of two squares
  28.    wt: 1:   3 quadratics factoring by inspection
  29.    wt: 1:   2 quadratics graphing in general
  30.    wt: 1:   11 Growth and Decay in Biology
  31.    wt: 1:   10 Exponential Growth and Decay Models
  32.    wt: 1:   5 Natural Logarithm Calculator Exercises
  33.    wt: 1:   1 Calculator Starter Exercises
  34.    wt: 1:   11 arctan left inverse of tangent Graph
  35.    wt: 1:   10 arctan left inverse of tangent Definition
  36.    wt: 1:   13 Velocity Vectors in Physics
  37.    wt: 1:   11 Component Method
  38.    wt: 1:   10 Parallelogram Addition Method
  39.    wt: 1:   8 Parallel Vectors
  40.    wt: 1:   6 Vectors with Coordinates
  41.    wt: 1:   3 Navigation with Arrows or Vectors
  42.    wt: 1:   11 Straight Lines Graphing y=mx
  43.    wt: 1:   10 Straight Lines through Origin Equations More
  44.    wt: 1:   11 tangent function undefined when terminal side vertical
  45.    wt: 1:   10 Graphs of sines and cosines many periods
  46.    wt: 1:   Unit Circle Development of Trigonometry
  47.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  48.    wt: 1:   11 sine and cosine double triple angle formulas
  49.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  50.    wt: 1:   8 Unit Circle Development of Trigonometry
  51.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  52.    wt: 1:   Why Trigonometry the whyslopes view
  53.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  54.    wt: 1:   11 Triangle Similarity Missing Side Problem
  55.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  56.    wt: 1:   Four Simple Exercises
  57.    wt: 1:   11 A Partial Summary
  58.    wt: 1:   10 Midpoint of [a b] and [b a]
  59.    wt: 1:   7 Exercises to test skill and concept mastery
  60.    wt: 1:   11 Triangle Inequality
  61.    wt: 1:   10 Pythagorean plane distance formula
  62.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  63.    wt: 1:   11 Triangle Construction Fails
  64.    wt: 1:   10 Dropping a perpendicular to line
  65.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  66.    wt: 1:   6 Figuring with Maps Not to Scale
  67.    wt: 1:   19 Signed Multiples of Vectors
  68.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  69.    wt: 1:   13 Arrows and Vectors in a Plane
  70.    wt: 1:   11 Signed Number Addition and Addition Properties
  71.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  72.    wt: 1:   11 Real Number Addition
  73.    wt: 1:   10 Real Number Lengths and Signs
  74.    wt: 1:   8 Coordinates for Maps and Planes
  75.    wt: 1:   More Exercises
  76.    wt: 1:   Simple Exercises
  77.    wt: 1:   2 Essentially one exercises three with solution
  78.    wt: 1:   10 One Example
  79.    wt: 1:   11 Volume of Sphere
  80.    wt: 1:   10 Volume of Pyramid
  81.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  82.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  83.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  84.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  85.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  86.    wt: 1:   4 LCM of 8 and 10 via Prime
  87.    wt: 1:   11 What are real lengths and numbers
  88.    wt: 1:   10 dividing signed numbers
  89.    wt: 1:   3 signed coordinates for maps and planes
  90.    wt: 1:   11 Simplification an Algebraic View
  91.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  92.    wt: 1:   D Remainders Modulo 11 Pair Rule
  93.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  94.    wt: 1:   11 Adding Integers Formulas and Examples
  95.    wt: 1:   10 Integer Multiplication Formulas
  96.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  97.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  98.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  99.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  100.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  101.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  102.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  103.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  104.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  105.    wt: 1:   1 Remainder Arithmetic Modulo 10
  106.    wt: 1:   11 Efficient Square Rule Use
  107.    wt: 1:   10 video Prime Factorization upto 23 squared
  108.    wt: 1:   11 Another Single Digit Divisor Example
  109.    wt: 1:   10 Division by Five Long and Short Ways
  110.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  111.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  112.    wt: 1:   11 Place Value SI Standard International way
  113.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  114.    wt: 1:   011 Division of Time Intervals By Numbers
  115.    wt: 1:   010 Repeated Addition of Time Intervals
  116.    wt: 1:   4 Definite Integrals Evaluation Exercises
  117.    wt: 1:   3 Two Chain Rule Method Exercises
  118.    wt: 1:   2 Indefinite Integrals Exercises
  119.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  120.    wt: 1:   11 Quotient rule
  121.    wt: 1:   10 Power rule for negative integers
  122.    wt: 1:   11 Limits at infinity Three Examples
  123.    wt: 1:   10 Three one sided limits with infinite values
  124.    wt: 1:   Chapter 23 Links To Trigonometry
  125.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  126.    wt: 1:   Chapter 11. Graphing Slope versus Position
  127.    wt: 1:   Chapter 10 Slopes and Units
  128.    wt: 1:   Chapter 11. Why Shorthand
  129.    wt: 1:   Chapter 10 Describing and Changing Calculations
  130.    wt: 1:   Solutions For Arithmetic Exercises
  131.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  132.    wt: 1:   Chapter 11 Elementary Instruction
  133.    wt: 1:   Chapter 10 Transition
  134.    wt: 1:   Chapter 11 Accidental Patterns
  135.    wt: 1:   Chapter 10 Responsibility
  136.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  137.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

641 matches:

  1.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  2.    wt: 9:   6 Figuring with Maps Not to Scale
  3.    wt: 8:   11 Component Method
  4.    wt: 8:   10 Parallelogram Addition Method
  5.    wt: 8:   14 cosine even and sine and tangent are odd
  6.    wt: 8:   11 tangent function undefined when terminal side vertical
  7.    wt: 8:   10 Graphs of sines and cosines many periods
  8.    wt: 8:   A Measurement with Ruler Proper Use
  9.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  10.    wt: 8:   2 Measuring Area Directly
  11.    wt: 8:   1 Length Measurement
  12.    wt: 7:   13 Velocity Vectors in Physics
  13.    wt: 7:   8 Parallel Vectors
  14.    wt: 7:   6 Vectors with Coordinates
  15.    wt: 7:   3 Navigation with Arrows or Vectors
  16.    wt: 7:   1 Unsigned Coordinates
  17.    wt: 7:   Parallel Lines and Parallel Transversals
  18.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  19.    wt: 7:   Triangle Angles Sum To 180 Degrees
  20.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  21.    wt: 7:   Parallel Lines and Interior Angles
  22.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  23.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  24.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  25.    wt: 7:   Straight Lines ASA Intersection Study More
  26.    wt: 7:   Straight Lines ASA Intersection Study
  27.    wt: 7:   Straight Lines Instersection Solving Equations
  28.    wt: 7:   Straight Lines Intersection of
  29.    wt: 7:   17 tangent function angle sum formulas
  30.    wt: 7:   20 sine and cosine Double Angle Formulas
  31.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  32.    wt: 7:   18 sum of sinusoidal waves as a single wave
  33.    wt: 7:   17G Pythagorean Theorem Converse
  34.    wt: 7:   17F Law of cosines
  35.    wt: 7:   17E Trig Formulas for dot and cross Products
  36.    wt: 7:   17D cis formulas for sine cosines and tangent
  37.    wt: 7:   17C sine and cosine double triple angle formulas
  38.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  39.    wt: 7:   17A The complex number valued trig function cis
  40.    wt: 7:   16 Right Triangle Complementary Angle Relations
  41.    wt: 7:   15 sine cosine Complementary Angle Relations
  42.    wt: 7:   13 Graph of tangent function many periods
  43.    wt: 7:   12 Graph of tangent function for one period
  44.    wt: 7:   9 Graphs of sine and cosine over one period
  45.    wt: 7:   8 period of tangent function
  46.    wt: 7:   7 period of sine and cosine
  47.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  48.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  49.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  50.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  51.    wt: 7:   Unit Circle Development of Trigonometry
  52.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  53.    wt: 7:   11 sine and cosine double triple angle formulas
  54.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  55.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  56.    wt: 7:   1 Angle Measurement with Degrees
  57.    wt: 7:   Why Trigonometry the whyslopes view
  58.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  59.    wt: 7:   11 Triangle Similarity Missing Side Problem
  60.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  61.    wt: 7:   11 A Partial Summary
  62.    wt: 7:   10 Midpoint of [a b] and [b a]
  63.    wt: 7:   11 Triangle Inequality
  64.    wt: 7:   10 Pythagorean plane distance formula
  65.    wt: 7:   11 Triangle Construction Fails
  66.    wt: 7:   10 Dropping a perpendicular to line
  67.    wt: 6:   11 arctan left inverse of tangent Graph
  68.    wt: 6:   10 arctan left inverse of tangent Definition
  69.    wt: 6:   1 cosine function properties
  70.    wt: 6:   A Global Time and Navigation
  71.    wt: 6:   15 Dot and Cross Product
  72.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  73.    wt: 6:   12 From Applied To Pure Mathematics
  74.    wt: 6:   9 Head to Tail Coordinate View
  75.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  76.    wt: 6:   5 Head To Tail Arrow Addition
  77.    wt: 6:   4 Resultant of a Sum of Movements
  78.    wt: 6:   2 Signed Coordinates
  79.    wt: 6:   Vector and Complex Number Applet
  80.    wt: 6:   11 Straight Lines Graphing y=mx
  81.    wt: 6:   10 Straight Lines through Origin Equations More
  82.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  83.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  84.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  85.    wt: 6:   32 seven rows of pascals triangle
  86.    wt: 6:   31 basic secant cosecant cotangent trig identities
  87.    wt: 6:   30 unit circle calculation of six trigonometric functions
  88.    wt: 6:   29 secant cosecant and cotangent for acute angles
  89.    wt: 6:   28 Expressing products of sines cosines as sums
  90.    wt: 6:   27 Logarithmic use of products of sines and cosines
  91.    wt: 6:   26 Formulas for products of sines and cosines
  92.    wt: 6:   25 tangent double angle formula Slope connection
  93.    wt: 6:   24 tangent Angle Difference Formula
  94.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  95.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  96.    wt: 6:   21 sine and cosine Half Angle Formulas
  97.    wt: 6:   2 Quadrant I reference Angles
  98.    wt: 6:   1 Unit Points Reflections Rotations
  99.    wt: 6:   21 Logarithms Powers and Exponentials
  100.    wt: 6:   8 Unit Circle Development of Trigonometry
  101.    wt: 6:   1 Rectangular Polar Coordinates Review
  102.    wt: 6:   8 Triangles Cascade Problem Solving
  103.    wt: 6:   7 Trignometric Ratios Unit Circle
  104.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  105.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  106.    wt: 6:   3 Trigonometric Ratios sine and cosine
  107.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  108.    wt: 6:   3 Similarity by Design with coordinates
  109.    wt: 6:   2 Similarity By Design
  110.    wt: 6:   1 Early Concept of Like or Similar Shapes
  111.    wt: 6:   Four Simple Exercises
  112.    wt: 6:   7 Exercises to test skill and concept mastery
  113.    wt: 6:   1 Numerical view of lines and their equations
  114.    wt: 6:   1 Cartesian Coordinates sans signs
  115.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  116.    wt: 6:   PS A Kite Construction Methods
  117.    wt: 6:   21 Parallelograms
  118.    wt: 6:   1 Initial Concepts and Terms
  119.    wt: 5:   10 quadratic exercises
  120.    wt: 5:   16 cotangent function Definition Graph and Inverse
  121.    wt: 5:   15 cosecant function Definition Graph and Inverse
  122.    wt: 5:   14 secant function Definition Graph and Inverse
  123.    wt: 5:   13 cosecant function Definition Graph and Inverse
  124.    wt: 5:   12 motivation for term arctan
  125.    wt: 5:   9 motivation for name arcsin
  126.    wt: 5:   8 arcsin left inverse of sine Graph
  127.    wt: 5:   7 arcsin left inverse of sine Definition
  128.    wt: 5:   6 Graph of arccos function
  129.    wt: 5:   5 Swapping Coordinates is a reflection
  130.    wt: 5:   4 possible motivation for term arccos
  131.    wt: 5:   3 Left Inverse of cosine arccos definition
  132.    wt: 5:   2 cosine function more properties
  133.    wt: 5:   9 Summary Degrees to Radians and back
  134.    wt: 5:   8 Radian Measures of Common Angles
  135.    wt: 5:   7 Radian Measures in special Triangles
  136.    wt: 5:   6 Radian Measure to Degrees
  137.    wt: 5:   5 Degrees to Radian Measure
  138.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  139.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  140.    wt: 5:   2 Radian Measure Numerical Value of one degree
  141.    wt: 5:   1 Degrees and Radians Introduction
  142.    wt: 5:   4 graphing y=Asin(x c)
  143.    wt: 5:   3 graphing y=f(x c) plus K
  144.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  145.    wt: 5:   1 graphing y=f(x a)
  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:   9 Straight Lines through Origin Equations
  154.    wt: 5:   8 Straight Lines Equation for vertical
  155.    wt: 5:   7 Tangent Function is odd on this domain
  156.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  157.    wt: 5:   5 Tangent Function Graph
  158.    wt: 5:   4 Tangent Function Properties
  159.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  160.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  161.    wt: 5:   1 Straight Lines Slope Concept
  162.    wt: 5:   20 N th Roots of Complex Numbers
  163.    wt: 5:   19 N th Roots of Unity
  164.    wt: 5:   18 Sixth Roots of Unity
  165.    wt: 5:   17 Cube Roots of unity
  166.    wt: 5:   16 References and Originality Question
  167.    wt: 5:   15 Pythagorean Theorem Converse
  168.    wt: 5:   14 Law of cosines
  169.    wt: 5:   13 Trig Formulas for dot and cross Products
  170.    wt: 5:   12 cis formulas for sine cosines and tangent
  171.    wt: 5:   9 The complex number valued trig function cis
  172.    wt: 5:   7 Second Way to Calculate Products
  173.    wt: 5:   6 Field Properties of Complex Number
  174.    wt: 5:   5 An Easy Proof of the Distributive Law
  175.    wt: 5:   4 Multiplication Properties
  176.    wt: 5:   3 Addition Properties
  177.    wt: 5:   2 Complex Numbers made easier we hope
  178.    wt: 5:   Appetizer A Complex Number Applet
  179.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  180.    wt: 5:   12 Triangles Similarity More Problems
  181.    wt: 5:   9 Similarity of Triangles Usual Criteria
  182.    wt: 5:   8 Similarity of Triangles and Polygons
  183.    wt: 5:   7 Translations Rotations Reflections Dilatations
  184.    wt: 5:   6 Geometric Diagrams in Class
  185.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  186.    wt: 5:   4 Similarity Definition with Coordinate
  187.    wt: 5:   12 Links Lessons elsewhere
  188.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  189.    wt: 5:   8 Mid Point Formula
  190.    wt: 5:   6 Intersection of lines by solving linear systems
  191.    wt: 5:   5 Algebraic View of Slopes
  192.    wt: 5:   4 Equations for lines three forms
  193.    wt: 5:   3 Slope product for perpendicular lines
  194.    wt: 5:   2 point slope equation for a line
  195.    wt: 5:   What is and is not here
  196.    wt: 5:   13 Pythagorean spatial distance formulas
  197.    wt: 5:   12 Spatial Coordinates
  198.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  199.    wt: 5:   8 Distance Between Points on a Line
  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:   4 Polar Coordinates to and from
  204.    wt: 5:   3 Rectangular Coordinates Review
  205.    wt: 5:   2 Cartesian Coordinates with 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:   19 Right Triangle Similarity
  214.    wt: 5:   18 Triangle Similarity Take 1
  215.    wt: 5:   17 Right Bisectors of Triangle Sides
  216.    wt: 5:   16 Angles Subtended By Chords and Diameters
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  218.    wt: 5:   14 Parallel Lines Postulate
  219.    wt: 5:   13 Angle Side Angle Failure
  220.    wt: 5:   12 Side Angle Side Failure
  221.    wt: 5:   9 Construction of a right bisector
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   7 Angle Side Angle
  224.    wt: 5:   6 Ruler and compass Angle Bisection
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  232.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  233.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  234.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  235.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  236.    wt: 5:   4 LCM of 8 and 10 via Prime
  237.    wt: 4:   1 quadratics graphing exercises
  238.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  239.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  240.    wt: 4:   13 GCD from given Prime Factorization
  241.    wt: 4:   8 GCD from Euclidean Algorithm
  242.    wt: 4:   7 GCD and LCM from prime factorization
  243.    wt: 4:   6 GCD from Prime
  244.    wt: 4:   1 Least Common Multiples LCM Introduction
  245.    wt: 4:   12 GCD 2700 288 via Prime
  246.    wt: 4:   10 Three one sided limits with infinite values
  247.    wt: 3:   Maps Plans Drawings
  248.    wt: 3:   cultivating intelligence
  249.    wt: 3:   9 quadratics physical and further context
  250.    wt: 3:   8 quadratics backward use of various formulas
  251.    wt: 3:   7 quadratic formulla derivation
  252.    wt: 3:   6 quadratics numerical approach
  253.    wt: 3:   5 quadratics completing the square
  254.    wt: 3:   4 quadratics difference of two squares
  255.    wt: 3:   3 quadratics factoring by inspection
  256.    wt: 3:   2 quadratics graphing in general
  257.    wt: 3:   Quadratics in 10 steps
  258.    wt: 3:   10 One Example
  259.    wt: 3:   5 Square Roots with primes more still
  260.    wt: 3:   4 Square Roots with primes more
  261.    wt: 3:   3 Properties of Square Roots with example
  262.    wt: 3:   2 Square Roots with Prime
  263.    wt: 3:   1 Squares and Square Roots Introduction
  264.    wt: 3:   5 Common Divisors 60 45 via Prime
  265.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  266.    wt: 3:   2 Least Common Multiple LCM intro via list method
  267.    wt: 3:   11 Place Value SI Standard International way
  268.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  269.    wt: 3:   11 Limits at infinity Three Examples
  270.    wt: 3:   9 Limits Continuity and Composition
  271.    wt: 3:   1 Numerical introduction
  272.    wt: 2:   11 pure mathematics
  273.    wt: 2:   10 statistics
  274.    wt: 2:   which way to go
  275.    wt: 2:   activities for students
  276.    wt: 2:   About site lesson plans
  277.    wt: 2:   key notes and themes
  278.    wt: 2:   Mathematics Education Professors
  279.    wt: 2:   grouping students according to ability
  280.    wt: 2:   what should be learnt and When
  281.    wt: 2:   Postscript 2007 01 10
  282.    wt: 2:   Secondary Three Mathematics
  283.    wt: 2:   Secondary Two Mathematics
  284.    wt: 2:   05 13 OldSiteEntrancePage
  285.    wt: 2:   04 29 New Mathematics Curriculum
  286.    wt: 2:   04 25 when to stop or suspend mathemat
  287.    wt: 2:   02 21 words for teachers
  288.    wt: 2:   02 20 mathematics education references
  289.    wt: 2:   three aims for mathematics students
  290.    wt: 2:   standards for course material
  291.    wt: 2:   Operational Viewpoint to Value
  292.    wt: 2:   formal or informal peer review
  293.    wt: 2:   Theory of Knowledge
  294.    wt: 2:   mathematics instruction in general
  295.    wt: 2:   Education in mathematics science and technology
  296.    wt: 2:   Different Kinds of Reasoning in maths
  297.    wt: 2:   three kinds of reason in mathematics
  298.    wt: 2:   Four ways to improve education reform
  299.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  300.    wt: 2:   11 Help and Defend Your Child or Teens Education
  301.    wt: 2:   10 Ends values for work study instruction
  302.    wt: 2:   Ages 10 to 12 Geometry
  303.    wt: 2:   Ages 10 to 12 Arithmetic
  304.    wt: 2:   11 Function Domain Range Source and Targets
  305.    wt: 2:   10 Interval Notation
  306.    wt: 2:   A Quadratics Summary
  307.    wt: 2:   11 Growth and Decay in Biology
  308.    wt: 2:   10 Exponential Growth and Decay Models
  309.    wt: 2:   1 Calculator Starter Exercises
  310.    wt: 2:   5 Areas of Rectangles Revisited
  311.    wt: 2:   4 Fraction Operations Axiomatic Development
  312.    wt: 2:   3 Inequalities Algebraically
  313.    wt: 2:   2 Fraction Operations Physical Development
  314.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  315.    wt: 2:   8 Coordinates for Maps and Planes
  316.    wt: 2:   Skill Development Notes
  317.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  318.    wt: 2:   11 What are real lengths and numbers
  319.    wt: 2:   10 dividing signed numbers
  320.    wt: 2:   18 Efficient Ways to Multiply
  321.    wt: 2:   11 Simplification an Algebraic View
  322.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  323.    wt: 2:   1 What is a fraction Take II
  324.    wt: 2:   1 What is a fraction
  325.    wt: 2:   11 Adding Integers Formulas and Examples
  326.    wt: 2:   10 Integer Multiplication Formulas
  327.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  328.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  329.    wt: 2:   11 Efficient Square Rule Use
  330.    wt: 2:   10 video Prime Factorization upto 23 squared
  331.    wt: 2:   11 Another Single Digit Divisor Example
  332.    wt: 2:   10 Division by Five Long and Short Ways
  333.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  334.    wt: 2:   1. Explaining Addition Table
  335.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  336.    wt: 2:   011 Division of Time Intervals By Numbers
  337.    wt: 2:   010 Repeated Addition of Time Intervals
  338.    wt: 2:   Example 2 volume of a cone
  339.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  340.    wt: 2:   Example 2
  341.    wt: 2:   Area Between Curves Lesson Take 2
  342.    wt: 2:   Area Between Curves Lesson Take 1
  343.    wt: 2:   4 Definite Integrals Evaluation Exercises
  344.    wt: 2:   3 Two Chain Rule Method Exercises
  345.    wt: 2:   2 Indefinite Integrals Exercises
  346.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  347.    wt: 2:   38 Formulas and derivatives for powers and roots
  348.    wt: 2:   29 Chain Rule Optional Reading
  349.    wt: 2:   19 Chain Rule for linear functions
  350.    wt: 2:   11 Quotient rule
  351.    wt: 2:   10 Power rule for negative integers
  352.    wt: 2:   3 Motivation for Limit Definition Take 2
  353.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  354.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  355.    wt: 2:   8 Four Animated Examples
  356.    wt: 2:   7 Evaluation by immediate or delayed substitution
  357.    wt: 2:   6 Continuity at a point
  358.    wt: 2:   5 Jumps and absence of unlimited error control
  359.    wt: 2:   4 Numerical properties
  360.    wt: 2:   3 Decimal insights for limits continuity convergence
  361.    wt: 2:   2 Algebraic codification
  362.    wt: 2:   Chapter 11. Graphing Slope versus Position
  363.    wt: 2:   Chapter 10 Slopes and Units
  364.    wt: 2:   Chapter 11. Why Shorthand
  365.    wt: 2:   Chapter 10 Describing and Changing Calculations
  366.    wt: 2:   Chapter 11 Elementary Instruction
  367.    wt: 2:   Chapter 10 Transition
  368.    wt: 2:   Chapter 11 Accidental Patterns
  369.    wt: 2:   Chapter 10 Responsibility
  370.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  371.    wt: 1:   Skills Chapter 1 Arithmetic
  372.    wt: 1:   Skills Chapter 0 Introduction
  373.    wt: 1:   1 arithmetic with unsigned numbers
  374.    wt: 1:   why bother
  375.    wt: 1:   website reviews
  376.    wt: 1:   three goals to set for students
  377.    wt: 1:   Teach the teachers plus goals
  378.    wt: 1:   permissions for teachers
  379.    wt: 1:   Math Ed if it must be short make it lean effective
  380.    wt: 1:   Applied Maths Program14092009 POMME variant
  381.    wt: 1:   links Education Resources online
  382.    wt: 1:   site origins
  383.    wt: 1:   site eurekas
  384.    wt: 1:   teacher certification
  385.    wt: 1:   modern education
  386.    wt: 1:   learning takes time
  387.    wt: 1:   mathematics in context
  388.    wt: 1:   Education Reform Inconsistencies
  389.    wt: 1:   five decades make a difference
  390.    wt: 1:   how letters appear
  391.    wt: 1:   Secondary One Mathematics
  392.    wt: 1:   talk the algebra talk
  393.    wt: 1:   three difficulties
  394.    wt: 1:   teaching tips
  395.    wt: 1:   What to Tell Students
  396.    wt: 1:   mathematics curriculum shifts
  397.    wt: 1:   geometric implications for algebra
  398.    wt: 1:   teaching tutoring algebraic reason
  399.    wt: 1:   Lessening Algebra Difficulties
  400.    wt: 1:   the trouble with algebra
  401.    wt: 1:   three goals for Mathematics Education
  402.    wt: 1:   How to be a better instructor
  403.    wt: 1:   Motivation and Context Problem
  404.    wt: 1:   need for a mixed mathematics curriculum
  405.    wt: 1:   Leaner mathematics curriculum
  406.    wt: 1:   Prequel In For A Penny In For A Pound
  407.    wt: 1:   education an empirical art
  408.    wt: 1:   fairness and inductive principles for instruction
  409.    wt: 1:   words for mathematics instructor
  410.    wt: 1:   chapitre 12 00 les iles et division
  411.    wt: 1:   chapitre 07 01 principle D induction mathematique
  412.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  413.    wt: 1:   chapitre 06 00 Chaines de la raison
  414.    wt: 1:   chapitre 05 00 Deception
  415.    wt: 1:   chapitre 04 09 Regles accidentelles
  416.    wt: 1:   chapitre 04 08 Limitations et benefices
  417.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  418.    wt: 1:   chapitre 04 06 engagements
  419.    wt: 1:   chapitre 04 05 Implication versus suggestion
  420.    wt: 1:   chapitre 04 04 Parlons de la logique
  421.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  422.    wt: 1:   chapitre 04 02 Deuxieme enigme
  423.    wt: 1:   chapitre 04 01 Premiere enigme
  424.    wt: 1:   chapitre 04 00 Les regles d implication
  425.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  426.    wt: 1:   chapitre 02 00 La Communication des idees
  427.    wt: 1:   chapitre 01 00 Introduction
  428.    wt: 1:   problemes responses
  429.    wt: 1:   problemes algebre et arithmetique
  430.    wt: 1:   A Energy Power01
  431.    wt: 1:   2 Unlike resistors in parallel01
  432.    wt: 1:   1 Like resistors in series
  433.    wt: 1:   A Circuit Elements
  434.    wt: 1:   Home Tutoring and Home Schooling
  435.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  436.    wt: 1:   1 Speaking Skills
  437.    wt: 1:   Ages 9 to 10
  438.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  439.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  440.    wt: 1:   sign monoticity analysis example 1
  441.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  442.    wt: 1:   12 Function Domain Recognition Exercises
  443.    wt: 1:   1 Geometric Introduction of Function Notation
  444.    wt: 1:   5 Natural Logarithm Calculator Exercises
  445.    wt: 1:   8 Notes for instructors or tutors
  446.    wt: 1:   7 Links Lessons Elsewhere
  447.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  448.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  449.    wt: 1:   4 Polynomials Long division linear divisor
  450.    wt: 1:   3 Polynomials Multiplication Addition
  451.    wt: 1:   2 Column Multiplication Method
  452.    wt: 1:   1 Polynomials Distributive Law
  453.    wt: 1:   19 Signed Multiples of Vectors
  454.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  455.    wt: 1:   13 Arrows and Vectors in a Plane
  456.    wt: 1:   11 Signed Number Addition and Addition Properties
  457.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  458.    wt: 1:   9 Division with Digits after Decimal Point
  459.    wt: 1:   8 Division and Mulplication of Compound Fractions
  460.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  461.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  462.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  463.    wt: 1:   4 Location of Point in Decimal Addition
  464.    wt: 1:   3 Location of Point in Decimal Multiplication
  465.    wt: 1:   2 Counting Digits in Decimal Multiplication
  466.    wt: 1:   1 Fractions with Finite Decimal Expansions
  467.    wt: 1:   1 The Counting Origins of Numbers
  468.    wt: 1:   1 What is Proportionality
  469.    wt: 1:   11 Real Number Addition
  470.    wt: 1:   10 Real Number Lengths and Signs
  471.    wt: 1:   9 Coordinates for Regions in Space
  472.    wt: 1:   7 Real Numbers as Line Cordinates
  473.    wt: 1:   6 Unsigned Real Numbers
  474.    wt: 1:   5 Independent versus Dependent Variables
  475.    wt: 1:   4 Changing Letters
  476.    wt: 1:   3 Geometric Formulas and Function Notation
  477.    wt: 1:   2 Computation Rules Evaluation
  478.    wt: 1:   1 Formulas Dependence and Function Notation
  479.    wt: 1:   More Exercises
  480.    wt: 1:   Simple Exercises
  481.    wt: 1:   1 GE Substitution four examples
  482.    wt: 1:   2 Essentially one exercises three with solution
  483.    wt: 1:   1 Essentially One Unknown
  484.    wt: 1:   1 Proper Equal Sign Usage
  485.    wt: 1:   9 Three Examples
  486.    wt: 1:   8 One Example
  487.    wt: 1:   7 Two Examples
  488.    wt: 1:   6 Three Examples
  489.    wt: 1:   5 Three Examples
  490.    wt: 1:   4 Two Examples
  491.    wt: 1:   3 Two Examples
  492.    wt: 1:   2 Three Examples
  493.    wt: 1:   13 Naming Identifying Formulas with Words
  494.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  495.    wt: 1:   11 Volume of Sphere
  496.    wt: 1:   10 Volume of Pyramid
  497.    wt: 1:   6 Three Notions of What is a Variable
  498.    wt: 1:   5 Talking about Numbers and Quantities
  499.    wt: 1:   4 A Brief Story of numbers and algebra
  500.    wt: 1:   3 Adding Words To Arithmetic
  501.    wt: 1:   2 What is a Variable
  502.    wt: 1:   1 Three Skills For Algebra
  503.    wt: 1:   1 More and Less Than for Counts and Measures
  504.    wt: 1:   3 signed coordinates for maps and planes
  505.    wt: 1:   22 Complex Compound Fractions
  506.    wt: 1:   21 Working With Signs
  507.    wt: 1:   21 Reciprocals for Fractions and Wholes
  508.    wt: 1:   20 Dividing Fractions the Why
  509.    wt: 1:   19 Dividing Fractions How TO
  510.    wt: 1:   17 Efficient Ways to Add and Subtract
  511.    wt: 1:   16 Addition Subtraction Comparision Compared
  512.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  513.    wt: 1:   14 Adding and Subtracting with Like Denominators
  514.    wt: 1:   13 Fraction Comparison Algebraic View
  515.    wt: 1:   12 Fraction Comparison
  516.    wt: 1:   9 Improper Fractions and Mixed Numbers
  517.    wt: 1:   8 Numerals Fractionals Quantals Take II
  518.    wt: 1:   7 Numerals Fractionals Quantals
  519.    wt: 1:   6 Multiplication of Mixed Numbers
  520.    wt: 1:   6 Multiplication Algebraically Take II
  521.    wt: 1:   5 Equivalent Fractions
  522.    wt: 1:   4 Fraction Multiplication
  523.    wt: 1:   3 Unit fraction of a fraction
  524.    wt: 1:   2 Unit Fraction Multiplication
  525.    wt: 1:   D Remainders Modulo 11 Pair Rule
  526.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  527.    wt: 1:   1 Integers as Coordinates
  528.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  529.    wt: 1:   26 Divisibility by 2 3 5 Example
  530.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  531.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  532.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  533.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  534.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  535.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  536.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  537.    wt: 1:   1 Remainder Arithmetic Modulo 10
  538.    wt: 1:   1 video how Products are bigger than factor
  539.    wt: 1:   Division with Counts and Length
  540.    wt: 1:   Long Division forwards and backwards Example 1
  541.    wt: 1:   1 Divsion Physical Examples
  542.    wt: 1:   D Decimal Multiplication Methods Derived
  543.    wt: 1:   1 Why 3 times 5 gives 15
  544.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  545.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  546.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  547.    wt: 1:   8 What skills and work habits to require
  548.    wt: 1:   7 Adding decimal fractions using decimal point
  549.    wt: 1:   6. Counting and adding units and mixed units
  550.    wt: 1:   5. How to add decimals C. Examples
  551.    wt: 1:   4. How to add with decimals B with conversions
  552.    wt: 1:   3. How to add with decimals A sans conversions
  553.    wt: 1:   2 Decimal Counting Practices
  554.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  555.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  556.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  557.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  558.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  559.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  560.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  561.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  562.    wt: 1:   016 Numbering Occidental Calendar Days
  563.    wt: 1:   015 School and work day counting tables
  564.    wt: 1:   014 Counting Days with Calendars
  565.    wt: 1:   013 Travel Time Tables
  566.    wt: 1:   012 Division of Time Intervals by Time Intervals
  567.    wt: 1:   Example 1 volume of a pyramid
  568.    wt: 1:   Volume of Solid by Cross Sections Lesson
  569.    wt: 1:   Example 1. Area Between x and x squared
  570.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  571.    wt: 1:   Example 4 with x function of y
  572.    wt: 1:   Example 3
  573.    wt: 1:   Example 1
  574.    wt: 1:   Summary
  575.    wt: 1:   A Related Material in Volume 3
  576.    wt: 1:   5 Area Under Curve Exercise
  577.    wt: 1:   1 Chain Rule in Reverse Integration Method
  578.    wt: 1:   A Related lessons in Volume 3
  579.    wt: 1:   4 Second derivative test exercise example
  580.    wt: 1:   3 Second derivative test
  581.    wt: 1:   2 Second derivative test prequel
  582.    wt: 1:   A Chain Rule Real Player video examples
  583.    wt: 1:   36 Cube root derivative animated
  584.    wt: 1:   34 Derivative of exponential function
  585.    wt: 1:   33 Chain Rule Real Player video examples
  586.    wt: 1:   31 Derivatives of inverse functions
  587.    wt: 1:   30Chain Rule A Proof
  588.    wt: 1:   28 Chain Rule Preparation for a Proof
  589.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  590.    wt: 1:   26 Chain Rule Recognising outer inner functions
  591.    wt: 1:   25 Chain Rule Animated Examples Continued
  592.    wt: 1:   24 Chain Rule Animated Examples
  593.    wt: 1:   23 Chain Rule in general
  594.    wt: 1:   22 Chain Rule for polynomials
  595.    wt: 1:   21 Chain Rule for powers
  596.    wt: 1:   20 Chain Rule for Pulley Systems
  597.    wt: 1:   18 Chain Rule Introduction
  598.    wt: 1:   17 Derivatives of quotients of sine and cosine
  599.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  600.    wt: 1:   15 sine and cosine derivatives 3rd step
  601.    wt: 1:   14 sine and cosine derivatives 2nd step
  602.    wt: 1:   13 sine and cosine derivatives 1st step
  603.    wt: 1:   12 Quotient rule examples
  604.    wt: 1:   9 Reciprocal rule
  605.    wt: 1:   8 Differentiation of polynomials
  606.    wt: 1:   7 Animated Differentiation Examples
  607.    wt: 1:   6 Power rule from product rule
  608.    wt: 1:   5 Product Rule
  609.    wt: 1:   4 Sum Rule
  610.    wt: 1:   2 Motivation for Limit Definition Take 1
  611.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  612.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  613.    wt: 1:   F.3 Intermediate Value Theorem
  614.    wt: 1:   F.2 Closed Range Theorem
  615.    wt: 1:   PostScript For and Against Decimal Perspectives
  616.    wt: 1:   A1. Introduction
  617.    wt: 1:   Chapter 23 Links To Trigonometry
  618.    wt: 1:   Chapter 21 Arrow Addition
  619.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  620.    wt: 1:   Chapter 1.Introduction
  621.    wt: 1:   Foreword
  622.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  623.    wt: 1:   Chapter 31 Direct and Indirect Reason
  624.    wt: 1:   Chapter 21. Third Reading Guide
  625.    wt: 1:   Solutions For Arithmetic Exercises
  626.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  627.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  628.    wt: 1:   Chapter 1 Introduction
  629.    wt: 1:   Chapter 21 Occurrence Tables
  630.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  631.    wt: 1:   Chapter 1 Introduction
  632.    wt: 1:   N Improving Marks on Tests and Finals
  633.    wt: 1:   J. More on written work and showing skill
  634.    wt: 1:   A. Skill has to be seen to believed
  635.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  636.    wt: 1:   Chapter 1 Arithmetic
  637.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  638.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  639.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  640.    wt: 10:   4 Angles on Maps Plans drawn to scale
  641.    wt: 10:   3 Lengths and Areas on Maps and Plans
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
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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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