Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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44 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   12 Function Translating and Rescaling/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  17.    wt: 4:   A Decimal Counting and Adding Methods/
  18.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  19.    wt: 3:   11 Squares and Square Roots/
  20.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  21.    wt: 3:   9 Combinatorics Trees Tables and Products/
  22.    wt: 3:   7 Arithmetic and Fractions with Units/
  23.    wt: 3:   6 Fractions and Ratios/
  24.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  25.    wt: 3:   D Decimal Long Division Methods/
  26.    wt: 3:   C Decimal Multiplication Methods/
  27.    wt: 3:   2 Arithmetic with Decimals/
  28.    wt: 2:   8 Arithmetic with Signed Numbers/
  29.    wt: 2:   5 Integers/
  30.    wt: 2:   3 Prime Factorization Skills/
  31.    wt: 2:   1 Decimal Place Value/
  32.    wt: 2:   Arithmetic and Number Theory Skills/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  38.    wt: 1:   Step 1 Stick diagram and fractions/
  39.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  40.    wt: 1:   13 Lessons on Limits and Continuity/
  41.    wt: 1:   Work and Study Tips/
  42.    wt: 1:   Resources and Reciprocal Links/
  43.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  44.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

Web Page Search

348 matches:

  1.    wt: 5:   6 Ruler and compass Angle Bisection
  2.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 4:   3 Lengths and Areas on Maps and Plans
  4.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  5.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  8.    wt: 3:   4 Angles on Maps Plans drawn to scale
  9.    wt: 2:   3 Euclidean Geometry Leanly
  10.    wt: 2:   Maps Plans Drawings
  11.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  12.    wt: 2:   Triangle Angles Sum To 180 Degrees
  13.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  14.    wt: 2:   Parallel Lines and Interior Angles
  15.    wt: 2:   29 secant cosecant and cotangent for acute angles
  16.    wt: 2:   21 sine and cosine Half Angle Formulas
  17.    wt: 2:   20 sine and cosine Double Angle Formulas
  18.    wt: 2:   17C sine and cosine double triple angle formulas
  19.    wt: 2:   16 Right Triangle Complementary Angle Relations
  20.    wt: 2:   14 cosine even and sine and tangent are odd
  21.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  22.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  23.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  24.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  25.    wt: 2:   11 sine and cosine double triple angle formulas
  26.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  27.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  28.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  29.    wt: 2:   8 Similarity of Triangles and Polygons
  30.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  31.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  32.    wt: 2:   16 Angles Subtended By Chords and Diameters
  33.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  34.    wt: 2:   13 Angle Side Angle Failure
  35.    wt: 2:   7 Angle Side Angle
  36.    wt: 2:   Short Course on Euclidean Geometry
  37.    wt: 2:   13 Arrows and Vectors in a Plane
  38.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  39.    wt: 2:   2 More and Less Than for Counts and Measures
  40.    wt: 2:   8 Coordinates for Maps and Planes
  41.    wt: 2:   1 More and Less Than for Counts and Measures
  42.    wt: 2:   3 signed coordinates for maps and planes
  43.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  44.    wt: 2:   6. Counting and adding units and mixed units
  45.    wt: 2:   38 Formulas and derivatives for powers and roots
  46.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  47.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  48.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  49.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  50.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  51.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  52.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  53.    wt: 2:   Chapter 6 More Algebra and Geometry
  54.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  55.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  56.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  57.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  58.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  59.    wt: 1:   Appendix 1 primary and preschool mathematic
  60.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  61.    wt: 1:   Ramblings Extrinsic numbers theory
  62.    wt: 1:   Skills Chapter 2 Geometry
  63.    wt: 1:   8 analytic geometry etc
  64.    wt: 1:   7 logic review and decimals an odd combination
  65.    wt: 1:   5 logarithms and exponentials etc
  66.    wt: 1:   About site lesson plans
  67.    wt: 1:   key notes and themes
  68.    wt: 1:   what should be learnt and When
  69.    wt: 1:   standards for course material
  70.    wt: 1:   Theory of Knowledge
  71.    wt: 1:   Education in mathematics science and technology
  72.    wt: 1:   Motivation and Context Problem
  73.    wt: 1:   fairness and inductive principles for instruction
  74.    wt: 1:   Home Tutoring and Home Schooling
  75.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  76.    wt: 1:   24 Standards For Skill Develoment Take II
  77.    wt: 1:   24 Standards For Skill Develoment
  78.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  79.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  80.    wt: 1:   17 Math Booklets for children and young teenagers
  81.    wt: 1:   14 Multiplication and Times Tables
  82.    wt: 1:   13 Addition and Addition Tables
  83.    wt: 1:   12 Goals and Objectives For Mathematics
  84.    wt: 1:   11 Help and Defend Your Child or Teens Education
  85.    wt: 1:   5 Patience Please for Yourself and Your Charges
  86.    wt: 1:   4 Learning Takes Time and Effort
  87.    wt: 1:   2 Reading and Writing Skills
  88.    wt: 1:   Ages 12 to 14 Geometry
  89.    wt: 1:   Ages 10 to 12 Geometry
  90.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  91.    wt: 1:   26 Function definitions done and coming
  92.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  93.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  94.    wt: 1:   19 Horizontal line rule and method
  95.    wt: 1:   18 Vertical Line Rule and Method
  96.    wt: 1:   17 Function maxima minima and their location
  97.    wt: 1:   11 Function Domain Range Source and Targets
  98.    wt: 1:   9 Set theory term relation possible origins
  99.    wt: 1:   8 Set view of relations and functions
  100.    wt: 1:   6 Set Existence Formation and Notation
  101.    wt: 1:   4 Function notation in and beyond mathematics
  102.    wt: 1:   9 quadratics physical and further context
  103.    wt: 1:   11 Growth and Decay in Biology
  104.    wt: 1:   10 Exponential Growth and Decay Models
  105.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  106.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  107.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  108.    wt: 1:   16 cotangent function Definition Graph and Inverse
  109.    wt: 1:   15 cosecant function Definition Graph and Inverse
  110.    wt: 1:   14 secant function Definition Graph and Inverse
  111.    wt: 1:   13 cosecant function Definition Graph and Inverse
  112.    wt: 1:   9 Summary Degrees to Radians and back
  113.    wt: 1:   8 Radian Measures of Common Angles
  114.    wt: 1:   7 Radian Measures in special Triangles
  115.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  116.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  117.    wt: 1:   1 Degrees and Radians Introduction
  118.    wt: 1:   A Global Time and Navigation
  119.    wt: 1:   15 Dot and Cross Product
  120.    wt: 1:   13 Velocity Vectors in Physics
  121.    wt: 1:   8 Parallel Vectors
  122.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  123.    wt: 1:   6 Vectors with Coordinates
  124.    wt: 1:   3 Navigation with Arrows or Vectors
  125.    wt: 1:   Vector and Complex Number Applet
  126.    wt: 1:   Parallel Lines and Parallel Transversals
  127.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  128.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  129.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  130.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  131.    wt: 1:   17 tangent function angle sum formulas
  132.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  133.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  134.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  135.    wt: 1:   32 seven rows of pascals triangle
  136.    wt: 1:   27 Logarithmic use of products of sines and cosines
  137.    wt: 1:   26 Formulas for products of sines and cosines
  138.    wt: 1:   25 tangent double angle formula Slope connection
  139.    wt: 1:   24 tangent Angle Difference Formula
  140.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  141.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  142.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  143.    wt: 1:   17E Trig Formulas for dot and cross Products
  144.    wt: 1:   17D cis formulas for sine cosines and tangent
  145.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  146.    wt: 1:   15 sine cosine Complementary Angle Relations
  147.    wt: 1:   10 Graphs of sines and cosines many periods
  148.    wt: 1:   9 Graphs of sine and cosine over one period
  149.    wt: 1:   7 period of sine and cosine
  150.    wt: 1:   2 Quadrant I reference Angles
  151.    wt: 1:   Unit Circle Development of Trigonometry
  152.    wt: 1:   21 Logarithms Powers and Exponentials
  153.    wt: 1:   16 References and Originality Question
  154.    wt: 1:   13 Trig Formulas for dot and cross Products
  155.    wt: 1:   12 cis formulas for sine cosines and tangent
  156.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  157.    wt: 1:   8 Unit Circle Development of Trigonometry
  158.    wt: 1:   8 Triangles Cascade Problem Solving
  159.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  160.    wt: 1:   3 Trigonometric Ratios sine and cosine
  161.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  162.    wt: 1:   1 Angle Measurement with Degrees
  163.    wt: 1:   Why Trigonometry the whyslopes view
  164.    wt: 1:   12 Triangles Similarity More Problems
  165.    wt: 1:   11 Triangle Similarity Missing Side Problem
  166.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  167.    wt: 1:   9 Similarity of Triangles Usual Criteria
  168.    wt: 1:   10 Midpoint of [a b] and [b a]
  169.    wt: 1:   7 Exercises to test skill and concept mastery
  170.    wt: 1:   1 Numerical view of lines and their equations
  171.    wt: 1:   What is and is not here
  172.    wt: 1:   11 Triangle Inequality
  173.    wt: 1:   6 Polar Multiplication and Rotation
  174.    wt: 1:   5 Cartesian Addition and Translation
  175.    wt: 1:   4 Polar Coordinates to and from
  176.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  177.    wt: 1:   19 Right Triangle Similarity
  178.    wt: 1:   18 Triangle Similarity Take 1
  179.    wt: 1:   17 Right Bisectors of Triangle Sides
  180.    wt: 1:   12 Side Angle Side Failure
  181.    wt: 1:   11 Triangle Construction Fails
  182.    wt: 1:   8 Isoceles Triangles
  183.    wt: 1:   5 Side Angle Side
  184.    wt: 1:   3 Isometry of Triangles Congruence
  185.    wt: 1:   2 Correspondence between Triangles
  186.    wt: 1:   1 Initial Concepts and Terms
  187.    wt: 1:   A Measurement with Ruler Proper Use
  188.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  189.    wt: 1:   6 Figuring with Maps Not to Scale
  190.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  191.    wt: 1:   A Modular and Remainder Arithmetic
  192.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  193.    wt: 1:   19 Signed Multiples of Vectors
  194.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  195.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  196.    wt: 1:   11 Signed Number Addition and Addition Properties
  197.    wt: 1:   8 Division and Mulplication of Compound Fractions
  198.    wt: 1:   B Decimal Comparison and Subtraction
  199.    wt: 1:   2 Combing Counts Addition Skills and Principles
  200.    wt: 1:   5 Areas of Rectangles Revisited
  201.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  202.    wt: 1:   4 Rates Ratios and Proporitionality
  203.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  204.    wt: 1:   6 Compound Interest Forward and Backwards
  205.    wt: 1:   5 Triangle Area Formula Backwards
  206.    wt: 1:   6 Equations and Systems Equivalent or Implied
  207.    wt: 1:   4 Subtraction and Division Axioms
  208.    wt: 1:   2 Addition and Multiplication Axioms
  209.    wt: 1:   3 More and Less Than with Unlike Signs
  210.    wt: 1:   10 Real Number Lengths and Signs
  211.    wt: 1:   1 Whole and Natural Numbers
  212.    wt: 1:   3 Geometric Formulas and Function Notation
  213.    wt: 1:   1 Formulas Dependence and Function Notation
  214.    wt: 1:   3 GE III Equation Addition and Multiplication
  215.    wt: 1:   3 Triangle Area Formula Example
  216.    wt: 1:   2 Another Rectangle Area Formula Example
  217.    wt: 1:   1 Written work formats for developing and showing skill
  218.    wt: 1:   9 Sets in Probability and Statistics
  219.    wt: 1:   5 Talking about Numbers and Quantities
  220.    wt: 1:   4 A Brief Story of numbers and algebra
  221.    wt: 1:   2 More and Less Than with Unlike Signs
  222.    wt: 1:   1 Squares and Square Roots Introduction
  223.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  224.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  225.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  226.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  227.    wt: 1:   8 GCD from Euclidean Algorithm
  228.    wt: 1:   7 GCD and LCM from prime factorization
  229.    wt: 1:   4 LCM of 8 and 10 via Prime
  230.    wt: 1:   3 Counting with Tables and Trees II
  231.    wt: 1:   2 Counting with Tables and Trees I
  232.    wt: 1:   1 Counting and Counting Methods I
  233.    wt: 1:   11 What are real lengths and numbers
  234.    wt: 1:   7 negative and additive inverse
  235.    wt: 1:   5 lengths and signs of numbers
  236.    wt: 1:   2 signed and unsigned numbers as coordinates
  237.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  238.    wt: 1:   3 Multiplying Units and Numbers
  239.    wt: 1:   2 Equality and Units
  240.    wt: 1:   1 Addition and Subtraction with Units
  241.    wt: 1:   B Fractions and Two Term Ratios
  242.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  243.    wt: 1:   21 Reciprocals for Fractions and Wholes
  244.    wt: 1:   17 Efficient Ways to Add and Subtract
  245.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  246.    wt: 1:   14 Adding and Subtracting with Like Denominators
  247.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  248.    wt: 1:   9 Improper Fractions and Mixed Numbers
  249.    wt: 1:   11 Adding Integers Formulas and Examples
  250.    wt: 1:   5 Zero Movement and Additive Inverses
  251.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  252.    wt: 1:   17 Identify and Count Factors using Primes
  253.    wt: 1:   12 LCD GCD and LCM using Primes
  254.    wt: 1:   7 Calculator Usage Notes and Cautions
  255.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  256.    wt: 1:   5 Prime Factorization and a Square Rule
  257.    wt: 1:   3 video Primes and Composites from 9 times table
  258.    wt: 1:   2 Prime and Composites less than 16
  259.    wt: 1:   Division with Counts and Length
  260.    wt: 1:   Long Division forwards and backwards Example 3
  261.    wt: 1:   Long Division forwards and backwards Example 2
  262.    wt: 1:   Long Division forwards and backwards Example 1
  263.    wt: 1:   10 Division by Five Long and Short Ways
  264.    wt: 1:   4 Two and Three Digit Multipliers
  265.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  266.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  267.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  268.    wt: 1:   8 What skills and work habits to require
  269.    wt: 1:   11 Place Value SI Standard International way
  270.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  271.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  272.    wt: 1:   Quick history of numbers and algebra
  273.    wt: 1:   Exact Arithmetic Wholes and Fractions
  274.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  275.    wt: 1:   015 School and work day counting tables
  276.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  277.    wt: 1:   4 Mixing and Changing Units of Time
  278.    wt: 1:   3 Units and Lengths of Time
  279.    wt: 1:   2 Time and Date Matters in School
  280.    wt: 1:   Example 1. Area Between x and x squared
  281.    wt: 1:   17 Derivatives of quotients of sine and cosine
  282.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  283.    wt: 1:   15 sine and cosine derivatives 3rd step
  284.    wt: 1:   14 sine and cosine derivatives 2nd step
  285.    wt: 1:   13 sine and cosine derivatives 1st step
  286.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  287.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  288.    wt: 1:   9 Limits Continuity and Composition
  289.    wt: 1:   5 Jumps and absence of unlimited error control
  290.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  291.    wt: 1:   C Triangle Inequalities
  292.    wt: 1:   PostScript For and Against Decimal Perspectives
  293.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  294.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  295.    wt: 1:   Chapter 23 Links To Trigonometry
  296.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  297.    wt: 1:   Chapter 12. Units and Slopes
  298.    wt: 1:   Chapter 10 Slopes and Units
  299.    wt: 1:   Chapter 7 Slopes and Velocity
  300.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  301.    wt: 1:   Chapter 2. Slopes and Ski Trails
  302.    wt: 1:   Appendix E. How To Study Mathematics and Why
  303.    wt: 1:   Appendix D. What to do in School and Why
  304.    wt: 1:   Chapter 31 Direct and Indirect Reason
  305.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  306.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  307.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  308.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  309.    wt: 1:   Chapter 20. Degrees and Radians
  310.    wt: 1:   Chapter 19. Functions and Sets
  311.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  312.    wt: 1:   Chapter 12. Shorthand Usage Guide
  313.    wt: 1:   Chapter 11. Why Shorthand
  314.    wt: 1:   Chapter 10 Describing and Changing Calculations
  315.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  316.    wt: 1:   Chapter 7 Two Treatments of Geometry
  317.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  318.    wt: 1:   Chapter 2 For and Against Mathematics
  319.    wt: 1:   Postscript B More on Story Telling and Reason
  320.    wt: 1:   Chapter 24 Direct and Indirect Reason
  321.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  322.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  323.    wt: 1:   Chapter 18 Sense and Knowledge
  324.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  325.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  326.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  327.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  328.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  329.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  330.    wt: 1:   O On Learning Mathematics and Science
  331.    wt: 1:   N Improving Marks on Tests and Finals
  332.    wt: 1:   J. More on written work and showing skill
  333.    wt: 1:   I. Logic and language skills
  334.    wt: 1:   H Jigsaw puzzles and problem solving
  335.    wt: 1:   G. Written work formats for developing and showing skill
  336.    wt: 1:   E. When and how to correct errors
  337.    wt: 1:   How to Build Skills and Confidence
  338.    wt: 1:   Chapter 8 Skipped Topics and Why
  339.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  340.    wt: 1:   7 Games and Activities for Instruction
  341.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  342.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  343.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  344.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  345.    wt: 1:   Helping the Blind in Logic and Mathematics
  346.    wt: 1:   More Algebra and Slope based Calculus Preview
  347.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  348.    wt: 1:   The Math Forum and Site Content

Extended Search

696 matches:

  1.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  2.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  3.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  4.    wt: 8:   Triangle Angles Sum To 180 Degrees
  5.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  6.    wt: 8:   Parallel Lines and Interior Angles
  7.    wt: 8:   29 secant cosecant and cotangent for acute angles
  8.    wt: 8:   21 sine and cosine Half Angle Formulas
  9.    wt: 8:   20 sine and cosine Double Angle Formulas
  10.    wt: 8:   17C sine and cosine double triple angle formulas
  11.    wt: 8:   16 Right Triangle Complementary Angle Relations
  12.    wt: 8:   14 cosine even and sine and tangent are odd
  13.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  14.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  15.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  16.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  17.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  18.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  19.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  20.    wt: 8:   A Measurement with Ruler Proper Use
  21.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  22.    wt: 8:   6 Figuring with Maps Not to Scale
  23.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  24.    wt: 7:   9 Summary Degrees to Radians and back
  25.    wt: 7:   8 Radian Measures of Common Angles
  26.    wt: 7:   7 Radian Measures in special Triangles
  27.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  28.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  29.    wt: 7:   1 Degrees and Radians Introduction
  30.    wt: 7:   A Global Time and Navigation
  31.    wt: 7:   15 Dot and Cross Product
  32.    wt: 7:   13 Velocity Vectors in Physics
  33.    wt: 7:   8 Parallel Vectors
  34.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  35.    wt: 7:   6 Vectors with Coordinates
  36.    wt: 7:   3 Navigation with Arrows or Vectors
  37.    wt: 7:   2 Signed Coordinates
  38.    wt: 7:   Vector and Complex Number Applet
  39.    wt: 7:   Parallel Lines and Parallel Transversals
  40.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  41.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  42.    wt: 7:   6 Tangent Function Inclination Angle Take 2
  43.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  44.    wt: 7:   17 tangent function angle sum formulas
  45.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  46.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  47.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  48.    wt: 7:   32 seven rows of pascals triangle
  49.    wt: 7:   27 Logarithmic use of products of sines and cosines
  50.    wt: 7:   26 Formulas for products of sines and cosines
  51.    wt: 7:   25 tangent double angle formula Slope connection
  52.    wt: 7:   24 tangent Angle Difference Formula
  53.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  54.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  55.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  56.    wt: 7:   17E Trig Formulas for dot and cross Products
  57.    wt: 7:   17D cis formulas for sine cosines and tangent
  58.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  59.    wt: 7:   15 sine cosine Complementary Angle Relations
  60.    wt: 7:   10 Graphs of sines and cosines many periods
  61.    wt: 7:   9 Graphs of sine and cosine over one period
  62.    wt: 7:   7 period of sine and cosine
  63.    wt: 7:   2 Quadrant I reference Angles
  64.    wt: 7:   Unit Circle Development of Trigonometry
  65.    wt: 7:   11 sine and cosine double triple angle formulas
  66.    wt: 7:   8 Triangles Cascade Problem Solving
  67.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  68.    wt: 7:   3 Trigonometric Ratios sine and cosine
  69.    wt: 7:   1 Angle Measurement with Degrees
  70.    wt: 7:   Why Trigonometry the whyslopes view
  71.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  72.    wt: 7:   8 Similarity of Triangles and Polygons
  73.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  74.    wt: 7:   10 Midpoint of [a b] and [b a]
  75.    wt: 7:   7 Exercises to test skill and concept mastery
  76.    wt: 7:   2 point slope equation for a line
  77.    wt: 7:   1 Numerical view of lines and their equations
  78.    wt: 7:   What is and is not here
  79.    wt: 7:   11 Triangle Inequality
  80.    wt: 7:   6 Polar Multiplication and Rotation
  81.    wt: 7:   5 Cartesian Addition and Translation
  82.    wt: 7:   4 Polar Coordinates to and from
  83.    wt: 7:   2 Cartesian Coordinates with signs
  84.    wt: 7:   2 Measuring Area Directly
  85.    wt: 7:   1 Length Measurement
  86.    wt: 6:   16 cotangent function Definition Graph and Inverse
  87.    wt: 6:   15 cosecant function Definition Graph and Inverse
  88.    wt: 6:   14 secant function Definition Graph and Inverse
  89.    wt: 6:   13 cosecant function Definition Graph and Inverse
  90.    wt: 6:   6 Radian Measure to Degrees
  91.    wt: 6:   5 Degrees to Radian Measure
  92.    wt: 6:   2 Radian Measure Numerical Value of one degree
  93.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  94.    wt: 6:   12 From Applied To Pure Mathematics
  95.    wt: 6:   11 Component Method
  96.    wt: 6:   10 Parallelogram Addition Method
  97.    wt: 6:   9 Head to Tail Coordinate View
  98.    wt: 6:   5 Head To Tail Arrow Addition
  99.    wt: 6:   4 Resultant of a Sum of Movements
  100.    wt: 6:   1 Unsigned Coordinates
  101.    wt: 6:   4 graphing y=Asin(x c)
  102.    wt: 6:   3 graphing y=f(x c) plus K
  103.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  104.    wt: 6:   1 graphing y=f(x a)
  105.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  106.    wt: 6:   Straight Lines ASA Intersection Study More
  107.    wt: 6:   Straight Lines ASA Intersection Study
  108.    wt: 6:   Straight Lines Instersection Solving Equations
  109.    wt: 6:   Straight Lines Intersection of
  110.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  111.    wt: 6:   C Straight Lines Slope from Coordinates
  112.    wt: 6:   B Straight Line Slope Scaling Properties More
  113.    wt: 6:   A Straight Line Slope Scaling Properties
  114.    wt: 6:   14 Straight Lines Equations General Case
  115.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  116.    wt: 6:   12 Straight Lines Graphing mx plus b
  117.    wt: 6:   11 Straight Lines Graphing y=mx
  118.    wt: 6:   10 Straight Lines through Origin Equations More
  119.    wt: 6:   9 Straight Lines through Origin Equations
  120.    wt: 6:   8 Straight Lines Equation for vertical
  121.    wt: 6:   7 Tangent Function is odd on this domain
  122.    wt: 6:   5 Tangent Function Graph
  123.    wt: 6:   4 Tangent Function Properties
  124.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  125.    wt: 6:   1 Straight Lines Slope Concept
  126.    wt: 6:   31 basic secant cosecant cotangent trig identities
  127.    wt: 6:   30 unit circle calculation of six trigonometric functions
  128.    wt: 6:   28 Expressing products of sines cosines as sums
  129.    wt: 6:   18 sum of sinusoidal waves as a single wave
  130.    wt: 6:   17G Pythagorean Theorem Converse
  131.    wt: 6:   17F Law of cosines
  132.    wt: 6:   17A The complex number valued trig function cis
  133.    wt: 6:   13 Graph of tangent function many periods
  134.    wt: 6:   12 Graph of tangent function for one period
  135.    wt: 6:   11 tangent function undefined when terminal side vertical
  136.    wt: 6:   8 period of tangent function
  137.    wt: 6:   1 Unit Points Reflections Rotations
  138.    wt: 6:   21 Logarithms Powers and Exponentials
  139.    wt: 6:   16 References and Originality Question
  140.    wt: 6:   13 Trig Formulas for dot and cross Products
  141.    wt: 6:   12 cis formulas for sine cosines and tangent
  142.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  143.    wt: 6:   8 Unit Circle Development of Trigonometry
  144.    wt: 6:   2 Complex Numbers made easier we hope
  145.    wt: 6:   7 Trignometric Ratios Unit Circle
  146.    wt: 6:   12 Triangles Similarity More Problems
  147.    wt: 6:   11 Triangle Similarity Missing Side Problem
  148.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  149.    wt: 6:   9 Similarity of Triangles Usual Criteria
  150.    wt: 6:   Four Simple Exercises
  151.    wt: 6:   12 Links Lessons elsewhere
  152.    wt: 6:   11 A Partial Summary
  153.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  154.    wt: 6:   8 Mid Point Formula
  155.    wt: 6:   6 Intersection of lines by solving linear systems
  156.    wt: 6:   5 Algebraic View of Slopes
  157.    wt: 6:   4 Equations for lines three forms
  158.    wt: 6:   3 Slope product for perpendicular lines
  159.    wt: 6:   13 Pythagorean spatial distance formulas
  160.    wt: 6:   12 Spatial Coordinates
  161.    wt: 6:   10 Pythagorean plane distance formula
  162.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  163.    wt: 6:   8 Distance Between Points on a Line
  164.    wt: 6:   7 Complex Numbers Appetizer
  165.    wt: 6:   3 Rectangular Coordinates Review
  166.    wt: 6:   1 Cartesian Coordinates sans signs
  167.    wt: 6:   6. Counting and adding units and mixed units
  168.    wt: 5:   12 motivation for term arctan
  169.    wt: 5:   11 arctan left inverse of tangent Graph
  170.    wt: 5:   10 arctan left inverse of tangent Definition
  171.    wt: 5:   9 motivation for name arcsin
  172.    wt: 5:   8 arcsin left inverse of sine Graph
  173.    wt: 5:   7 arcsin left inverse of sine Definition
  174.    wt: 5:   6 Graph of arccos function
  175.    wt: 5:   5 Swapping Coordinates is a reflection
  176.    wt: 5:   4 possible motivation for term arccos
  177.    wt: 5:   3 Left Inverse of cosine arccos definition
  178.    wt: 5:   2 cosine function more properties
  179.    wt: 5:   1 cosine function properties
  180.    wt: 5:   20 N th Roots of Complex Numbers
  181.    wt: 5:   19 N th Roots of Unity
  182.    wt: 5:   18 Sixth Roots of Unity
  183.    wt: 5:   17 Cube Roots of unity
  184.    wt: 5:   15 Pythagorean Theorem Converse
  185.    wt: 5:   14 Law of cosines
  186.    wt: 5:   9 The complex number valued trig function cis
  187.    wt: 5:   7 Second Way to Calculate Products
  188.    wt: 5:   6 Field Properties of Complex Number
  189.    wt: 5:   5 An Easy Proof of the Distributive Law
  190.    wt: 5:   4 Multiplication Properties
  191.    wt: 5:   3 Addition Properties
  192.    wt: 5:   1 Rectangular Polar Coordinates Review
  193.    wt: 5:   Appetizer A Complex Number Applet
  194.    wt: 5:   7 Translations Rotations Reflections Dilatations
  195.    wt: 5:   6 Geometric Diagrams in Class
  196.    wt: 5:   4 Similarity Definition with Coordinate
  197.    wt: 5:   3 Similarity by Design with coordinates
  198.    wt: 5:   2 Similarity By Design
  199.    wt: 5:   1 Early Concept of Like or Similar Shapes
  200.    wt: 5:   About Folder Contents
  201.    wt: 5:   2 More and Less Than with Unlike Signs
  202.    wt: 5:   1 More and Less Than for Counts and Measures
  203.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  204.    wt: 5:   4 Subtraction with Conversions Borrows and Letter J
  205.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  206.    wt: 5:   2 Subtraction Easy Case Examples
  207.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  208.    wt: 5:   8 What skills and work habits to require
  209.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  210.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  211.    wt: 4:   1 Squares and Square Roots Introduction
  212.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  213.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  214.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  215.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  216.    wt: 4:   8 GCD from Euclidean Algorithm
  217.    wt: 4:   7 GCD and LCM from prime factorization
  218.    wt: 4:   4 LCM of 8 and 10 via Prime
  219.    wt: 4:   3 Counting with Tables and Trees II
  220.    wt: 4:   2 Counting with Tables and Trees I
  221.    wt: 4:   1 Counting and Counting Methods I
  222.    wt: 4:   3 signed coordinates for maps and planes
  223.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  224.    wt: 4:   3 Multiplying Units and Numbers
  225.    wt: 4:   2 Equality and Units
  226.    wt: 4:   1 Addition and Subtraction with Units
  227.    wt: 4:   B Fractions and Two Term Ratios
  228.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  229.    wt: 4:   21 Reciprocals for Fractions and Wholes
  230.    wt: 4:   17 Efficient Ways to Add and Subtract
  231.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  232.    wt: 4:   14 Adding and Subtracting with Like Denominators
  233.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  234.    wt: 4:   9 Improper Fractions and Mixed Numbers
  235.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  236.    wt: 4:   2 Prime and Composites less than 16
  237.    wt: 4:   Division with Counts and Length
  238.    wt: 4:   Long Division forwards and backwards Example 3
  239.    wt: 4:   Long Division forwards and backwards Example 2
  240.    wt: 4:   Long Division forwards and backwards Example 1
  241.    wt: 4:   10 Division by Five Long and Short Ways
  242.    wt: 4:   2 Division with Single Digit Divisors
  243.    wt: 4:   4 Two and Three Digit Multipliers
  244.    wt: 4:   2 One Digit Multipliers
  245.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  246.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  247.    wt: 4:   Subtraction with J Conversions Example
  248.    wt: 4:   Subtraction Another Video Lesson
  249.    wt: 4:   9 22 Minute Subtraction Review Video
  250.    wt: 4:   8 Subtraction with Units of Measure
  251.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  252.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  253.    wt: 4:   5 A Tip for Efficent Subtraction
  254.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  255.    wt: 4:   7 Adding decimal fractions using decimal point
  256.    wt: 4:   5. How to add decimals C. Examples
  257.    wt: 4:   4. How to add with decimals B with conversions
  258.    wt: 4:   3. How to add with decimals A sans conversions
  259.    wt: 4:   2 Decimal Counting Practices
  260.    wt: 4:   1. Explaining Addition Table
  261.    wt: 3:   2 Combing Counts Addition Skills and Principles
  262.    wt: 3:   2 More and Less Than for Counts and Measures
  263.    wt: 3:   4 Greater More Less Than Signs in General
  264.    wt: 3:   3 Comparison of Negative Numbers
  265.    wt: 3:   5 Square Roots with primes more still
  266.    wt: 3:   4 Square Roots with primes more
  267.    wt: 3:   3 Properties of Square Roots with example
  268.    wt: 3:   2 Square Roots with Prime
  269.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  270.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  271.    wt: 3:   13 GCD from given Prime Factorization
  272.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  273.    wt: 3:   6 GCD from Prime
  274.    wt: 3:   5 Common Divisors 60 45 via Prime
  275.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  276.    wt: 3:   2 Least Common Multiple LCM intro via list method
  277.    wt: 3:   1 Least Common Multiples LCM Introduction
  278.    wt: 3:   12 GCD 2700 288 via Prime
  279.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  280.    wt: 3:   4 Counting with Trees Product Rule Take I
  281.    wt: 3:   11 What are real lengths and numbers
  282.    wt: 3:   7 negative and additive inverse
  283.    wt: 3:   5 lengths and signs of numbers
  284.    wt: 3:   2 signed and unsigned numbers as coordinates
  285.    wt: 3:   7 Converting or Changing Units
  286.    wt: 3:   6 Simplification of Fractions with Units
  287.    wt: 3:   4 Fractions with Units
  288.    wt: 3:   D Three Term Ratios
  289.    wt: 3:   22 Complex Compound Fractions
  290.    wt: 3:   21 Working With Signs
  291.    wt: 3:   20 Dividing Fractions the Why
  292.    wt: 3:   19 Dividing Fractions How TO
  293.    wt: 3:   18 Efficient Ways to Multiply
  294.    wt: 3:   16 Addition Subtraction Comparision Compared
  295.    wt: 3:   13 Fraction Comparison Algebraic View
  296.    wt: 3:   12 Fraction Comparison
  297.    wt: 3:   11 Simplification an Algebraic View
  298.    wt: 3:   8 Numerals Fractionals Quantals Take II
  299.    wt: 3:   7 Numerals Fractionals Quantals
  300.    wt: 3:   6 Multiplication of Mixed Numbers
  301.    wt: 3:   6 Multiplication Algebraically Take II
  302.    wt: 3:   5 Equivalent Fractions
  303.    wt: 3:   4 Fraction Multiplication
  304.    wt: 3:   3 Unit fraction of a fraction
  305.    wt: 3:   2 Unit Fraction Multiplication
  306.    wt: 3:   1 What is a fraction Take II
  307.    wt: 3:   1 What is a fraction
  308.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  309.    wt: 3:   11 Adding Integers Formulas and Examples
  310.    wt: 3:   5 Zero Movement and Additive Inverses
  311.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  312.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  313.    wt: 3:   26 Divisibility by 2 3 5 Example
  314.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  315.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  316.    wt: 3:   23 Remainder Arithmetic Modulo 2
  317.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  318.    wt: 3:   21 Remainder Arithmetic Modulo 3
  319.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  320.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  321.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  322.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  323.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  324.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  325.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  326.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  327.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  328.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  329.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  330.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  331.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  332.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  333.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  334.    wt: 3:   5 Remainder Arithmetic Modulo 5
  335.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  336.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  337.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  338.    wt: 3:   1 Remainder Arithmetic Modulo 10
  339.    wt: 3:   17 Identify and Count Factors using Primes
  340.    wt: 3:   12 LCD GCD and LCM using Primes
  341.    wt: 3:   7 Calculator Usage Notes and Cautions
  342.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  343.    wt: 3:   5 Prime Factorization and a Square Rule
  344.    wt: 3:   3 video Primes and Composites from 9 times table
  345.    wt: 3:   Long Division Backwards more
  346.    wt: 3:   Long Division Backward
  347.    wt: 3:   12 Why Long Division Works Take III
  348.    wt: 3:   11 Another Single Digit Divisor Example
  349.    wt: 3:   9 Why Long Division Works Take II
  350.    wt: 3:   8 Correcting the Mistake
  351.    wt: 3:   7 Long Divison Mistake Catching
  352.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  353.    wt: 3:   5 Long Division Include Zeroes or not
  354.    wt: 3:   4 Division with 2 Digit Divsors
  355.    wt: 3:   3 Division Single Digit Divisor Example
  356.    wt: 3:   1 Divsion Physical Examples
  357.    wt: 3:   D Decimal Multiplication Methods Derived
  358.    wt: 3:   C Counting Areas with Powers of Ten
  359.    wt: 3:   B Powers of Ten
  360.    wt: 3:   A Elementary Basis for Multiplication Methods
  361.    wt: 3:   6 Multiplication Commutes Order Not Important
  362.    wt: 3:   5 Decimal Fraction Multiplication
  363.    wt: 3:   3 More One Digit Multipliers
  364.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  365.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  366.    wt: 3:   Video Power Notation in Decimal Expansion
  367.    wt: 3:   1 Why 3 times 5 gives 15
  368.    wt: 3:   11 Place Value SI Standard International way
  369.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  370.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  371.    wt: 3:   Quick history of numbers and algebra
  372.    wt: 3:   Exact Arithmetic Wholes and Fractions
  373.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  374.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  375.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  376.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  377.    wt: 2:   3 Euclidean Geometry Leanly
  378.    wt: 2:   Maps Plans Drawings
  379.    wt: 2:   2 Reading and Writing Skills
  380.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  381.    wt: 2:   13 Arrows and Vectors in a Plane
  382.    wt: 2:   B Decimal Comparison and Subtraction
  383.    wt: 2:   4 Rates Ratios and Proporitionality
  384.    wt: 2:   2 Algebraic View
  385.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  386.    wt: 2:   6 Equations and Systems Equivalent or Implied
  387.    wt: 2:   4 Subtraction and Division Axioms
  388.    wt: 2:   2 Addition and Multiplication Axioms
  389.    wt: 2:   3 More and Less Than with Unlike Signs
  390.    wt: 2:   8 Coordinates for Maps and Planes
  391.    wt: 2:   3 Geometric Formulas and Function Notation
  392.    wt: 2:   1 Formulas Dependence and Function Notation
  393.    wt: 2:   2 Three Examples
  394.    wt: 2:   arithmetic videos Real Player Format
  395.    wt: 2:   10 dividing signed numbers
  396.    wt: 2:   9 subtracting signed numbers
  397.    wt: 2:   8 multiplying signed numbers
  398.    wt: 2:   6 adding signed numbers
  399.    wt: 2:   4 signed coordinates for regions in space
  400.    wt: 2:   D Remainders Modulo 11 Pair Rule
  401.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  402.    wt: 2:   B Integer Long Division Multiple Choices
  403.    wt: 2:   A Associative Law Theorectical Note
  404.    wt: 2:   13 Subtraction with Additive Inverse
  405.    wt: 2:   12 Adding Integers More Examples
  406.    wt: 2:   10 Integer Multiplication Formulas
  407.    wt: 2:   9 Multiplying Integers
  408.    wt: 2:   8 Multiplication by Signed Numbers Integers
  409.    wt: 2:   7 Multiplication by Signs
  410.    wt: 2:   6 Multiplication by Natural Numbers
  411.    wt: 2:   4 Adding Movements wiht opposite directions
  412.    wt: 2:   3 Adding Movements with same direction
  413.    wt: 2:   1 Integers as Coordinates
  414.    wt: 2:   20 Uniqueness of Prime Factorization
  415.    wt: 2:   19 video Prime Factorization Unique
  416.    wt: 2:   18 video Count Factors given Prime Factorization
  417.    wt: 2:   16 video Factors of 980 using prime
  418.    wt: 2:   15 video Factors of 20 using Prime Factorization
  419.    wt: 2:   14 video Factors of 24 Take II
  420.    wt: 2:   13 video Factors of 24 using prime
  421.    wt: 2:   11 Efficient Square Rule Use
  422.    wt: 2:   10 video Prime Factorization upto 23 squared
  423.    wt: 2:   9 video Prime Factorization upto 19 squared
  424.    wt: 2:   8 video Prime Factorization upto 19
  425.    wt: 2:   4 video Prime Factorization Introduction
  426.    wt: 2:   1 video how Products are bigger than factor
  427.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  428.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  429.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  430.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  431.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  432.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  433.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  434.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  435.    wt: 2:   Formula Evaluation how to show work
  436.    wt: 2:   Expression Evaluation how to show work
  437.    wt: 2:   The 20 Times Table
  438.    wt: 2:   The 12 Times Table Visually
  439.    wt: 2:   About folder contents
  440.    wt: 2:   Example 1. Area Between x and x squared
  441.    wt: 2:   38 Formulas and derivatives for powers and roots
  442.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  443.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  444.    wt: 2:   9 Limits Continuity and Composition
  445.    wt: 2:   5 Jumps and absence of unlimited error control
  446.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  447.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  448.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  449.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  450.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  451.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  452.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  453.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  454.    wt: 2:   O On Learning Mathematics and Science
  455.    wt: 2:   N Improving Marks on Tests and Finals
  456.    wt: 2:   J. More on written work and showing skill
  457.    wt: 2:   I. Logic and language skills
  458.    wt: 2:   H Jigsaw puzzles and problem solving
  459.    wt: 2:   G. Written work formats for developing and showing skill
  460.    wt: 2:   E. When and how to correct errors
  461.    wt: 2:   How to Build Skills and Confidence
  462.    wt: 2:   Chapter 6 More Algebra and Geometry
  463.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  464.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  465.    wt: 2:   7 Games and Activities for Instruction
  466.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  467.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  468.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  469.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  470.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  471.    wt: 1:   Appendix 1 primary and preschool mathematic
  472.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  473.    wt: 1:   Ramblings Extrinsic numbers theory
  474.    wt: 1:   Skills Chapter 2 Geometry
  475.    wt: 1:   8 analytic geometry etc
  476.    wt: 1:   7 logic review and decimals an odd combination
  477.    wt: 1:   5 logarithms and exponentials etc
  478.    wt: 1:   About site lesson plans
  479.    wt: 1:   key notes and themes
  480.    wt: 1:   what should be learnt and When
  481.    wt: 1:   standards for course material
  482.    wt: 1:   Theory of Knowledge
  483.    wt: 1:   Education in mathematics science and technology
  484.    wt: 1:   Motivation and Context Problem
  485.    wt: 1:   fairness and inductive principles for instruction
  486.    wt: 1:   2 Conductance Resistance Duality02
  487.    wt: 1:   Home Tutoring and Home Schooling
  488.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  489.    wt: 1:   24 Standards For Skill Develoment Take II
  490.    wt: 1:   24 Standards For Skill Develoment
  491.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  492.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  493.    wt: 1:   17 Math Booklets for children and young teenagers
  494.    wt: 1:   14 Multiplication and Times Tables
  495.    wt: 1:   13 Addition and Addition Tables
  496.    wt: 1:   12 Goals and Objectives For Mathematics
  497.    wt: 1:   11 Help and Defend Your Child or Teens Education
  498.    wt: 1:   5 Patience Please for Yourself and Your Charges
  499.    wt: 1:   4 Learning Takes Time and Effort
  500.    wt: 1:   Ages 12 to 14 Geometry
  501.    wt: 1:   Ages 10 to 12 Geometry
  502.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  503.    wt: 1:   26 Function definitions done and coming
  504.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  505.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  506.    wt: 1:   20 Interchanging coordinates a reflection
  507.    wt: 1:   19 Horizontal line rule and method
  508.    wt: 1:   18 Vertical Line Rule and Method
  509.    wt: 1:   17 Function maxima minima and their location
  510.    wt: 1:   11 Function Domain Range Source and Targets
  511.    wt: 1:   9 Set theory term relation possible origins
  512.    wt: 1:   8 Set view of relations and functions
  513.    wt: 1:   6 Set Existence Formation and Notation
  514.    wt: 1:   4 Function notation in and beyond mathematics
  515.    wt: 1:   9 quadratics physical and further context
  516.    wt: 1:   11 Growth and Decay in Biology
  517.    wt: 1:   10 Exponential Growth and Decay Models
  518.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  519.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  520.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  521.    wt: 1:   A Modular and Remainder Arithmetic
  522.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  523.    wt: 1:   19 Signed Multiples of Vectors
  524.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  525.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  526.    wt: 1:   11 Signed Number Addition and Addition Properties
  527.    wt: 1:   8 Division and Mulplication of Compound Fractions
  528.    wt: 1:   E Long Division Methods more
  529.    wt: 1:   D Long Division Methods
  530.    wt: 1:   C Three Decimal Subtraction Methods
  531.    wt: 1:   A Decimal Addition Columm Methods
  532.    wt: 1:   8 Column Multiplication Methods in General
  533.    wt: 1:   7 Decimals Multiplication Methods Examples
  534.    wt: 1:   6 Column Methods for Decimal Multiplication
  535.    wt: 1:   5 Distributive Law for Whole Numbers
  536.    wt: 1:   4 Commutative Law Groups Counting Form
  537.    wt: 1:   3 Multiplicative Counting Skills Principles
  538.    wt: 1:   1 The Counting Origins of Numbers
  539.    wt: 1:   5 Areas of Rectangles Revisited
  540.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  541.    wt: 1:   5 Proportionality in Equivalent Fractions
  542.    wt: 1:   3 Proportionality Examples
  543.    wt: 1:   1 What is Proportionality
  544.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  545.    wt: 1:   6 Compound Interest Forward and Backwards
  546.    wt: 1:   5 Triangle Area Formula Backwards
  547.    wt: 1:   5 Equality in Algebra
  548.    wt: 1:   3 Product Axioms Two Forms
  549.    wt: 1:   1 Equivalent Computation Rules
  550.    wt: 1:   5 Greater More Less Than Signs in General
  551.    wt: 1:   4 Comparison of Negative Numbers
  552.    wt: 1:   1 Real Numbers Comparison
  553.    wt: 1:   10 Real Number Lengths and Signs
  554.    wt: 1:   1 Whole and Natural Numbers
  555.    wt: 1:   5 Independent versus Dependent Variables
  556.    wt: 1:   4 Changing Letters
  557.    wt: 1:   2 Computation Rules Evaluation
  558.    wt: 1:   3 GE III Equation Addition and Multiplication
  559.    wt: 1:   2 GE II Comparison
  560.    wt: 1:   2 Essentially one exercises three with solution
  561.    wt: 1:   2 Three Examples
  562.    wt: 1:   Skill Development Notes
  563.    wt: 1:   10 One Example
  564.    wt: 1:   9 Three Examples
  565.    wt: 1:   8 One Example
  566.    wt: 1:   7 Two Examples
  567.    wt: 1:   6 Three Examples
  568.    wt: 1:   5 Three Examples
  569.    wt: 1:   4 Two Examples
  570.    wt: 1:   3 Two Examples
  571.    wt: 1:   3 Triangle Area Formula Example
  572.    wt: 1:   2 Another Rectangle Area Formula Example
  573.    wt: 1:   1 Written work formats for developing and showing skill
  574.    wt: 1:   9 Sets in Probability and Statistics
  575.    wt: 1:   5 Talking about Numbers and Quantities
  576.    wt: 1:   4 A Brief Story of numbers and algebra
  577.    wt: 1:   015 School and work day counting tables
  578.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  579.    wt: 1:   4 Mixing and Changing Units of Time
  580.    wt: 1:   3 Units and Lengths of Time
  581.    wt: 1:   2 Time and Date Matters in School
  582.    wt: 1:   Example 2 volume of a cone
  583.    wt: 1:   Example 1 volume of a pyramid
  584.    wt: 1:   Volume of Solid by Cross Sections Lesson
  585.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  586.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  587.    wt: 1:   Example 4 with x function of y
  588.    wt: 1:   Example 3
  589.    wt: 1:   Example 2
  590.    wt: 1:   Example 1
  591.    wt: 1:   Area Between Curves Lesson Take 2
  592.    wt: 1:   Area Between Curves Lesson Take 1
  593.    wt: 1:   Summary
  594.    wt: 1:   17 Derivatives of quotients of sine and cosine
  595.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  596.    wt: 1:   15 sine and cosine derivatives 3rd step
  597.    wt: 1:   14 sine and cosine derivatives 2nd step
  598.    wt: 1:   13 sine and cosine derivatives 1st step
  599.    wt: 1:   11 Limits at infinity Three Examples
  600.    wt: 1:   10 Three one sided limits with infinite values
  601.    wt: 1:   8 Four Animated Examples
  602.    wt: 1:   7 Evaluation by immediate or delayed substitution
  603.    wt: 1:   6 Continuity at a point
  604.    wt: 1:   4 Numerical properties
  605.    wt: 1:   3 Decimal insights for limits continuity convergence
  606.    wt: 1:   2 Algebraic codification
  607.    wt: 1:   1 Numerical introduction
  608.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  609.    wt: 1:   C Triangle Inequalities
  610.    wt: 1:   PostScript For and Against Decimal Perspectives
  611.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  612.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  613.    wt: 1:   Chapter 23 Links To Trigonometry
  614.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  615.    wt: 1:   Chapter 12. Units and Slopes
  616.    wt: 1:   Chapter 10 Slopes and Units
  617.    wt: 1:   Chapter 7 Slopes and Velocity
  618.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  619.    wt: 1:   Chapter 2. Slopes and Ski Trails
  620.    wt: 1:   Appendix E. How To Study Mathematics and Why
  621.    wt: 1:   Appendix D. What to do in School and Why
  622.    wt: 1:   Chapter 31 Direct and Indirect Reason
  623.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  624.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  625.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  626.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  627.    wt: 1:   Chapter 20. Degrees and Radians
  628.    wt: 1:   Chapter 19. Functions and Sets
  629.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  630.    wt: 1:   Chapter 12. Shorthand Usage Guide
  631.    wt: 1:   Chapter 11. Why Shorthand
  632.    wt: 1:   Chapter 10 Describing and Changing Calculations
  633.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  634.    wt: 1:   Chapter 7 Two Treatments of Geometry
  635.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  636.    wt: 1:   Chapter 2 For and Against Mathematics
  637.    wt: 1:   Postscript B More on Story Telling and Reason
  638.    wt: 1:   Chapter 24 Direct and Indirect Reason
  639.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  640.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  641.    wt: 1:   Chapter 18 Sense and Knowledge
  642.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  643.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  644.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  645.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  646.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  647.    wt: 1:   S Adding words to algebra
  648.    wt: 1:   R Why Learn Mathematics Skills
  649.    wt: 1:   N Mathematics Prepare for College Studies
  650.    wt: 1:   M Words to extend arithmetic
  651.    wt: 1:   L Skills with take home value
  652.    wt: 1:   H more Routine to non routine problem solving
  653.    wt: 1:   F. The student teacher tutor feedback loop
  654.    wt: 1:   D. Check work a must with a caution
  655.    wt: 1:   C. Domino effect of being careful
  656.    wt: 1:   B. Domino effect of errors
  657.    wt: 1:   A. Skill has to be seen to believed
  658.    wt: 1:   Chapter 8 Skipped Topics and Why
  659.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  660.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  661.    wt: 1:   Helping the Blind in Logic and Mathematics
  662.    wt: 1:   More Algebra and Slope based Calculus Preview
  663.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  664.    wt: 1:   The Math Forum and Site Content
  665.    wt: 16:   6 Ruler and compass Angle Bisection
  666.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  667.    wt: 13:   16 Angles Subtended By Chords and Diameters
  668.    wt: 13:   15 Triangle Angle Sum is 180 degrees
  669.    wt: 13:   13 Angle Side Angle Failure
  670.    wt: 13:   7 Angle Side Angle
  671.    wt: 13:   2 Correspondence between Triangles
  672.    wt: 13:   Short Course on Euclidean Geometry
  673.    wt: 12:   PS C Similarity Use Recognize it in Trigonometry
  674.    wt: 12:   19 Right Triangle Similarity
  675.    wt: 12:   18 Triangle Similarity Take 1
  676.    wt: 12:   17 Right Bisectors of Triangle Sides
  677.    wt: 12:   12 Side Angle Side Failure
  678.    wt: 12:   11 Triangle Construction Fails
  679.    wt: 12:   8 Isoceles Triangles
  680.    wt: 12:   5 Side Angle Side
  681.    wt: 12:   3 Isometry of Triangles Congruence
  682.    wt: 12:   1 Initial Concepts and Terms
  683.    wt: 11:   PS H Distributive Law For Complex Numbers
  684.    wt: 11:   PS G Rotation Distributes over Addition
  685.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  686.    wt: 11:   PS E Multiplication with Polar Coordinates
  687.    wt: 11:   PS D Addition with Cartesian Coordinates
  688.    wt: 11:   PS B Parallelogram Construction Methods
  689.    wt: 11:   PS A Kite Construction Methods
  690.    wt: 11:   21 Parallelograms
  691.    wt: 11:   14 Parallel Lines Postulate
  692.    wt: 11:   10 Dropping a perpendicular to line
  693.    wt: 11:   9 Construction of a right bisector
  694.    wt: 11:   4 Side Side Side
  695.    wt: 11:   3 Lengths and Areas on Maps and Plans
  696.    wt: 10:   4 Angles on Maps Plans drawn to scale

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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