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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45 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:   Mathematics Skills Year by Year/
  34.    wt: 1:   A Origins of Counting and Figuring Methods/
  35.    wt: 1:   9 Proportionality Backwards and Forwards/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  39.    wt: 1:   Step 1 Stick diagram and fractions/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/
  44.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  45.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

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336 matches:

  1.    wt: 6:   16 Angles Subtended By Chords and Diameters
  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:   4 Angles on Maps Plans drawn to scale
  7.    wt: 2:   3 Euclidean Geometry Leanly
  8.    wt: 2:   Maps Plans Drawings
  9.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  10.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  11.    wt: 2:   Parallel Lines and Interior Angles
  12.    wt: 2:   29 secant cosecant and cotangent for acute angles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  15.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  16.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  17.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  18.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  19.    wt: 2:   8 Similarity of Triangles and Polygons
  20.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  21.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  22.    wt: 2:   Short Course on Euclidean Geometry
  23.    wt: 2:   13 Arrows and Vectors in a Plane
  24.    wt: 2:   2 More and Less Than for Counts and Measures
  25.    wt: 2:   8 Coordinates for Maps and Planes
  26.    wt: 2:   1 More and Less Than for Counts and Measures
  27.    wt: 2:   3 signed coordinates for maps and planes
  28.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  29.    wt: 2:   10 Division by Five Long and Short Ways
  30.    wt: 2:   6. Counting and adding units and mixed units
  31.    wt: 2:   38 Formulas and derivatives for powers and roots
  32.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  33.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  34.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  35.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  36.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  37.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  38.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  39.    wt: 2:   Chapter 6 More Algebra and Geometry
  40.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  41.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  42.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  43.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  44.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  45.    wt: 1:   Appendix 1 primary and preschool mathematic
  46.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  47.    wt: 1:   Ramblings Extrinsic numbers theory
  48.    wt: 1:   Skills Chapter 2 Geometry
  49.    wt: 1:   8 analytic geometry etc
  50.    wt: 1:   7 logic review and decimals an odd combination
  51.    wt: 1:   5 logarithms and exponentials etc
  52.    wt: 1:   About site lesson plans
  53.    wt: 1:   key notes and themes
  54.    wt: 1:   what should be learnt and When
  55.    wt: 1:   standards for course material
  56.    wt: 1:   Theory of Knowledge
  57.    wt: 1:   Education in mathematics science and technology
  58.    wt: 1:   Motivation and Context Problem
  59.    wt: 1:   fairness and inductive principles for instruction
  60.    wt: 1:   Home Tutoring and Home Schooling
  61.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  62.    wt: 1:   24 Standards For Skill Develoment Take II
  63.    wt: 1:   24 Standards For Skill Develoment
  64.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  65.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  66.    wt: 1:   17 Math Booklets for children and young teenagers
  67.    wt: 1:   14 Multiplication and Times Tables
  68.    wt: 1:   13 Addition and Addition Tables
  69.    wt: 1:   12 Goals and Objectives For Mathematics
  70.    wt: 1:   11 Help and Defend Your Child or Teens Education
  71.    wt: 1:   9 Streaming by Student Cooperation
  72.    wt: 1:   5 Patience Please for Yourself and Your Charges
  73.    wt: 1:   4 Learning Takes Time and Effort
  74.    wt: 1:   2 Reading and Writing Skills
  75.    wt: 1:   Ages 12 to 14 Geometry
  76.    wt: 1:   Ages 10 to 12 Geometry
  77.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  78.    wt: 1:   26 Function definitions done and coming
  79.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  80.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  81.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  82.    wt: 1:   19 Horizontal line rule and method
  83.    wt: 1:   18 Vertical Line Rule and Method
  84.    wt: 1:   17 Function maxima minima and their location
  85.    wt: 1:   11 Function Domain Range Source and Targets
  86.    wt: 1:   9 Set theory term relation possible origins
  87.    wt: 1:   8 Set view of relations and functions
  88.    wt: 1:   6 Set Existence Formation and Notation
  89.    wt: 1:   4 Function notation in and beyond mathematics
  90.    wt: 1:   9 quadratics physical and further context
  91.    wt: 1:   3 quadratics factoring by inspection
  92.    wt: 1:   11 Growth and Decay in Biology
  93.    wt: 1:   10 Exponential Growth and Decay Models
  94.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  95.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  96.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  97.    wt: 1:   16 cotangent function Definition Graph and Inverse
  98.    wt: 1:   15 cosecant function Definition Graph and Inverse
  99.    wt: 1:   14 secant function Definition Graph and Inverse
  100.    wt: 1:   13 cosecant function Definition Graph and Inverse
  101.    wt: 1:   9 Summary Degrees to Radians and back
  102.    wt: 1:   8 Radian Measures of Common Angles
  103.    wt: 1:   7 Radian Measures in special Triangles
  104.    wt: 1:   1 Degrees and Radians Introduction
  105.    wt: 1:   A Global Time and Navigation
  106.    wt: 1:   15 Dot and Cross Product
  107.    wt: 1:   13 Velocity Vectors in Physics
  108.    wt: 1:   8 Parallel Vectors
  109.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  110.    wt: 1:   6 Vectors with Coordinates
  111.    wt: 1:   3 Navigation with Arrows or Vectors
  112.    wt: 1:   Vector and Complex Number Applet
  113.    wt: 1:   Parallel Lines and Parallel Transversals
  114.    wt: 1:   Triangle Angles Sum To 180 Degrees
  115.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  116.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  117.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  118.    wt: 1:   27 Logarithmic use of products of sines and cosines
  119.    wt: 1:   26 Formulas for products of sines and cosines
  120.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  121.    wt: 1:   21 sine and cosine Half Angle Formulas
  122.    wt: 1:   20 sine and cosine Double Angle Formulas
  123.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  124.    wt: 1:   17E Trig Formulas for dot and cross Products
  125.    wt: 1:   17D cis formulas for sine cosines and tangent
  126.    wt: 1:   17C sine and cosine double triple angle formulas
  127.    wt: 1:   10 Graphs of sines and cosines many periods
  128.    wt: 1:   9 Graphs of sine and cosine over one period
  129.    wt: 1:   7 period of sine and cosine
  130.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  131.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  132.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  133.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  134.    wt: 1:   2 Quadrant I reference Angles
  135.    wt: 1:   Unit Circle Development of Trigonometry
  136.    wt: 1:   21 Logarithms Powers and Exponentials
  137.    wt: 1:   16 References and Originality Question
  138.    wt: 1:   13 Trig Formulas for dot and cross Products
  139.    wt: 1:   12 cis formulas for sine cosines and tangent
  140.    wt: 1:   11 sine and cosine double triple angle formulas
  141.    wt: 1:   8 Unit Circle Development of Trigonometry
  142.    wt: 1:   8 Triangles Cascade Problem Solving
  143.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  144.    wt: 1:   3 Trigonometric Ratios sine and cosine
  145.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  146.    wt: 1:   Why Trigonometry the whyslopes view
  147.    wt: 1:   12 Triangles Similarity More Problems
  148.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  149.    wt: 1:   9 Similarity of Triangles Usual Criteria
  150.    wt: 1:   3 Similarity by Design with coordinates
  151.    wt: 1:   2 Similarity By Design
  152.    wt: 1:   10 Midpoint of [a b] and [b a]
  153.    wt: 1:   7 Exercises to test skill and concept mastery
  154.    wt: 1:   6 Intersection of lines by solving linear systems
  155.    wt: 1:   1 Numerical view of lines and their equations
  156.    wt: 1:   What is and is not here
  157.    wt: 1:   6 Polar Multiplication and Rotation
  158.    wt: 1:   5 Cartesian Addition and Translation
  159.    wt: 1:   4 Polar Coordinates to and from
  160.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  161.    wt: 1:   8 Isoceles Triangles
  162.    wt: 1:   6 Ruler and compass Angle Bisection
  163.    wt: 1:   3 Isometry of Triangles Congruence
  164.    wt: 1:   2 Correspondence between Triangles
  165.    wt: 1:   1 Initial Concepts and Terms
  166.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  167.    wt: 1:   6 Figuring with Maps Not to Scale
  168.    wt: 1:   A Modular and Remainder Arithmetic
  169.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  170.    wt: 1:   19 Signed Multiples of Vectors
  171.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  172.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  173.    wt: 1:   11 Signed Number Addition and Addition Properties
  174.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  175.    wt: 1:   8 Division and Mulplication of Compound Fractions
  176.    wt: 1:   B Decimal Comparison and Subtraction
  177.    wt: 1:   2 Combing Counts Addition Skills and Principles
  178.    wt: 1:   5 Areas of Rectangles Revisited
  179.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  180.    wt: 1:   4 Rates Ratios and Proporitionality
  181.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  182.    wt: 1:   6 Compound Interest Forward and Backwards
  183.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  184.    wt: 1:   6 Equations and Systems Equivalent or Implied
  185.    wt: 1:   4 Subtraction and Division Axioms
  186.    wt: 1:   2 Addition and Multiplication Axioms
  187.    wt: 1:   3 More and Less Than with Unlike Signs
  188.    wt: 1:   10 Real Number Lengths and Signs
  189.    wt: 1:   1 Whole and Natural Numbers
  190.    wt: 1:   3 Geometric Formulas and Function Notation
  191.    wt: 1:   1 Formulas Dependence and Function Notation
  192.    wt: 1:   3 GE III Equation Addition and Multiplication
  193.    wt: 1:   1 Written work formats for developing and showing skill
  194.    wt: 1:   9 Sets in Probability and Statistics
  195.    wt: 1:   5 Talking about Numbers and Quantities
  196.    wt: 1:   4 A Brief Story of numbers and algebra
  197.    wt: 1:   2 More and Less Than with Unlike Signs
  198.    wt: 1:   1 Squares and Square Roots Introduction
  199.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  200.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  201.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  202.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  203.    wt: 1:   8 GCD from Euclidean Algorithm
  204.    wt: 1:   7 GCD and LCM from prime factorization
  205.    wt: 1:   4 LCM of 8 and 10 via Prime
  206.    wt: 1:   3 Counting with Tables and Trees II
  207.    wt: 1:   2 Counting with Tables and Trees I
  208.    wt: 1:   1 Counting and Counting Methods I
  209.    wt: 1:   11 What are real lengths and numbers
  210.    wt: 1:   7 negative and additive inverse
  211.    wt: 1:   5 lengths and signs of numbers
  212.    wt: 1:   2 signed and unsigned numbers as coordinates
  213.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  214.    wt: 1:   3 Multiplying Units and Numbers
  215.    wt: 1:   2 Equality and Units
  216.    wt: 1:   1 Addition and Subtraction with Units
  217.    wt: 1:   B Fractions and Two Term Ratios
  218.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  219.    wt: 1:   21 Reciprocals for Fractions and Wholes
  220.    wt: 1:   17 Efficient Ways to Add and Subtract
  221.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  222.    wt: 1:   14 Adding and Subtracting with Like Denominators
  223.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  224.    wt: 1:   9 Improper Fractions and Mixed Numbers
  225.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  226.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  227.    wt: 1:   11 Adding Integers Formulas and Examples
  228.    wt: 1:   8 Multiplication by Signed Numbers Integers
  229.    wt: 1:   7 Multiplication by Signs
  230.    wt: 1:   6 Multiplication by Natural Numbers
  231.    wt: 1:   5 Zero Movement and Additive Inverses
  232.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  233.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  234.    wt: 1:   26 Divisibility by 2 3 5 Example
  235.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  236.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  237.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  238.    wt: 1:   17 Identify and Count Factors using Primes
  239.    wt: 1:   12 LCD GCD and LCM using Primes
  240.    wt: 1:   7 Calculator Usage Notes and Cautions
  241.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  242.    wt: 1:   5 Prime Factorization and a Square Rule
  243.    wt: 1:   3 video Primes and Composites from 9 times table
  244.    wt: 1:   2 Prime and Composites less than 16
  245.    wt: 1:   Division with Counts and Length
  246.    wt: 1:   Long Division forwards and backwards Example 3
  247.    wt: 1:   Long Division forwards and backwards Example 2
  248.    wt: 1:   Long Division forwards and backwards Example 1
  249.    wt: 1:   4 Two and Three Digit Multipliers
  250.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  251.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  252.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  253.    wt: 1:   8 What skills and work habits to require
  254.    wt: 1:   11 Place Value SI Standard International way
  255.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  256.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  257.    wt: 1:   Quick history of numbers and algebra
  258.    wt: 1:   Exact Arithmetic Wholes and Fractions
  259.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  260.    wt: 1:   015 School and work day counting tables
  261.    wt: 1:   012 Division of Time Intervals by Time Intervals
  262.    wt: 1:   011 Division of Time Intervals By Numbers
  263.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  264.    wt: 1:   4 Mixing and Changing Units of Time
  265.    wt: 1:   3 Units and Lengths of Time
  266.    wt: 1:   2 Time and Date Matters in School
  267.    wt: 1:   Volume of Solid by Cross Sections Lesson
  268.    wt: 1:   Example 1. Area Between x and x squared
  269.    wt: 1:   17 Derivatives of quotients of sine and cosine
  270.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  271.    wt: 1:   15 sine and cosine derivatives 3rd step
  272.    wt: 1:   14 sine and cosine derivatives 2nd step
  273.    wt: 1:   13 sine and cosine derivatives 1st step
  274.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  275.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  276.    wt: 1:   9 Limits Continuity and Composition
  277.    wt: 1:   7 Evaluation by immediate or delayed substitution
  278.    wt: 1:   5 Jumps and absence of unlimited error control
  279.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  280.    wt: 1:   PostScript For and Against Decimal Perspectives
  281.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  282.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  283.    wt: 1:   Chapter 23 Links To Trigonometry
  284.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  285.    wt: 1:   Chapter 12. Units and Slopes
  286.    wt: 1:   Chapter 10 Slopes and Units
  287.    wt: 1:   Chapter 7 Slopes and Velocity
  288.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  289.    wt: 1:   Chapter 2. Slopes and Ski Trails
  290.    wt: 1:   Appendix E. How To Study Mathematics and Why
  291.    wt: 1:   Appendix D. What to do in School and Why
  292.    wt: 1:   Chapter 31 Direct and Indirect Reason
  293.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  294.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  295.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  296.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  297.    wt: 1:   Chapter 20. Degrees and Radians
  298.    wt: 1:   Chapter 19. Functions and Sets
  299.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  300.    wt: 1:   Chapter 12. Shorthand Usage Guide
  301.    wt: 1:   Chapter 11. Why Shorthand
  302.    wt: 1:   Chapter 10 Describing and Changing Calculations
  303.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  304.    wt: 1:   Chapter 7 Two Treatments of Geometry
  305.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  306.    wt: 1:   Chapter 2 For and Against Mathematics
  307.    wt: 1:   Postscript B More on Story Telling and Reason
  308.    wt: 1:   Chapter 24 Direct and Indirect Reason
  309.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  310.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  311.    wt: 1:   Chapter 18 Sense and Knowledge
  312.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  313.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  314.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  315.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  316.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  317.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  318.    wt: 1:   O On Learning Mathematics and Science
  319.    wt: 1:   N Improving Marks on Tests and Finals
  320.    wt: 1:   J. More on written work and showing skill
  321.    wt: 1:   I. Logic and language skills
  322.    wt: 1:   H Jigsaw puzzles and problem solving
  323.    wt: 1:   G. Written work formats for developing and showing skill
  324.    wt: 1:   E. When and how to correct errors
  325.    wt: 1:   How to Build Skills and Confidence
  326.    wt: 1:   Chapter 8 Skipped Topics and Why
  327.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  328.    wt: 1:   7 Games and Activities for Instruction
  329.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  330.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  331.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  332.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  333.    wt: 1:   Helping the Blind in Logic and Mathematics
  334.    wt: 1:   More Algebra and Slope based Calculus Preview
  335.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  336.    wt: 1:   The Math Forum and Site Content

Extended Search

707 matches:

  1.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  2.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  3.    wt: 8:   Parallel Lines and Interior Angles
  4.    wt: 8:   29 secant cosecant and cotangent for acute angles
  5.    wt: 8:   14 cosine even and sine and tangent are odd
  6.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  8.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  9.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  10.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  11.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  12.    wt: 8:   6 Figuring with Maps Not to Scale
  13.    wt: 7:   9 Summary Degrees to Radians and back
  14.    wt: 7:   8 Radian Measures of Common Angles
  15.    wt: 7:   7 Radian Measures in special Triangles
  16.    wt: 7:   1 Degrees and Radians Introduction
  17.    wt: 7:   A Global Time and Navigation
  18.    wt: 7:   15 Dot and Cross Product
  19.    wt: 7:   13 Velocity Vectors in Physics
  20.    wt: 7:   8 Parallel Vectors
  21.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  22.    wt: 7:   6 Vectors with Coordinates
  23.    wt: 7:   3 Navigation with Arrows or Vectors
  24.    wt: 7:   2 Signed Coordinates
  25.    wt: 7:   Vector and Complex Number Applet
  26.    wt: 7:   Parallel Lines and Parallel Transversals
  27.    wt: 7:   Triangle Angles Sum To 180 Degrees
  28.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  29.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  30.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  31.    wt: 7:   27 Logarithmic use of products of sines and cosines
  32.    wt: 7:   26 Formulas for products of sines and cosines
  33.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  34.    wt: 7:   21 sine and cosine Half Angle Formulas
  35.    wt: 7:   20 sine and cosine Double Angle Formulas
  36.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  37.    wt: 7:   17E Trig Formulas for dot and cross Products
  38.    wt: 7:   17D cis formulas for sine cosines and tangent
  39.    wt: 7:   17C sine and cosine double triple angle formulas
  40.    wt: 7:   10 Graphs of sines and cosines many periods
  41.    wt: 7:   9 Graphs of sine and cosine over one period
  42.    wt: 7:   7 period of sine and cosine
  43.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  44.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  45.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  46.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  47.    wt: 7:   2 Quadrant I reference Angles
  48.    wt: 7:   Unit Circle Development of Trigonometry
  49.    wt: 7:   8 Triangles Cascade Problem Solving
  50.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  51.    wt: 7:   3 Trigonometric Ratios sine and cosine
  52.    wt: 7:   Why Trigonometry the whyslopes view
  53.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  54.    wt: 7:   8 Similarity of Triangles and Polygons
  55.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  56.    wt: 7:   10 Midpoint of [a b] and [b a]
  57.    wt: 7:   7 Exercises to test skill and concept mastery
  58.    wt: 7:   6 Intersection of lines by solving linear systems
  59.    wt: 7:   2 point slope equation for a line
  60.    wt: 7:   1 Numerical view of lines and their equations
  61.    wt: 7:   What is and is not here
  62.    wt: 7:   6 Polar Multiplication and Rotation
  63.    wt: 7:   5 Cartesian Addition and Translation
  64.    wt: 7:   4 Polar Coordinates to and from
  65.    wt: 7:   2 Cartesian Coordinates with signs
  66.    wt: 7:   A Measurement with Ruler Proper Use
  67.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  68.    wt: 7:   2 Measuring Area Directly
  69.    wt: 7:   1 Length Measurement
  70.    wt: 6:   16 cotangent function Definition Graph and Inverse
  71.    wt: 6:   15 cosecant function Definition Graph and Inverse
  72.    wt: 6:   14 secant function Definition Graph and Inverse
  73.    wt: 6:   13 cosecant function Definition Graph and Inverse
  74.    wt: 6:   6 Radian Measure to Degrees
  75.    wt: 6:   5 Degrees to Radian Measure
  76.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  77.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  78.    wt: 6:   2 Radian Measure Numerical Value of one degree
  79.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  80.    wt: 6:   12 From Applied To Pure Mathematics
  81.    wt: 6:   11 Component Method
  82.    wt: 6:   10 Parallelogram Addition Method
  83.    wt: 6:   9 Head to Tail Coordinate View
  84.    wt: 6:   5 Head To Tail Arrow Addition
  85.    wt: 6:   4 Resultant of a Sum of Movements
  86.    wt: 6:   1 Unsigned Coordinates
  87.    wt: 6:   4 graphing y=Asin(x c)
  88.    wt: 6:   3 graphing y=f(x c) plus K
  89.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  90.    wt: 6:   1 graphing y=f(x a)
  91.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  92.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  93.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  94.    wt: 6:   Straight Lines ASA Intersection Study More
  95.    wt: 6:   Straight Lines ASA Intersection Study
  96.    wt: 6:   Straight Lines Instersection Solving Equations
  97.    wt: 6:   Straight Lines Intersection of
  98.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  99.    wt: 6:   C Straight Lines Slope from Coordinates
  100.    wt: 6:   B Straight Line Slope Scaling Properties More
  101.    wt: 6:   A Straight Line Slope Scaling Properties
  102.    wt: 6:   14 Straight Lines Equations General Case
  103.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  104.    wt: 6:   12 Straight Lines Graphing mx plus b
  105.    wt: 6:   11 Straight Lines Graphing y=mx
  106.    wt: 6:   10 Straight Lines through Origin Equations More
  107.    wt: 6:   9 Straight Lines through Origin Equations
  108.    wt: 6:   8 Straight Lines Equation for vertical
  109.    wt: 6:   7 Tangent Function is odd on this domain
  110.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  111.    wt: 6:   5 Tangent Function Graph
  112.    wt: 6:   4 Tangent Function Properties
  113.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  114.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  115.    wt: 6:   1 Straight Lines Slope Concept
  116.    wt: 6:   17 tangent function angle sum formulas
  117.    wt: 6:   32 seven rows of pascals triangle
  118.    wt: 6:   31 basic secant cosecant cotangent trig identities
  119.    wt: 6:   30 unit circle calculation of six trigonometric functions
  120.    wt: 6:   28 Expressing products of sines cosines as sums
  121.    wt: 6:   25 tangent double angle formula Slope connection
  122.    wt: 6:   24 tangent Angle Difference Formula
  123.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  124.    wt: 6:   18 sum of sinusoidal waves as a single wave
  125.    wt: 6:   17G Pythagorean Theorem Converse
  126.    wt: 6:   17F Law of cosines
  127.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  128.    wt: 6:   17A The complex number valued trig function cis
  129.    wt: 6:   16 Right Triangle Complementary Angle Relations
  130.    wt: 6:   15 sine cosine Complementary Angle Relations
  131.    wt: 6:   13 Graph of tangent function many periods
  132.    wt: 6:   12 Graph of tangent function for one period
  133.    wt: 6:   11 tangent function undefined when terminal side vertical
  134.    wt: 6:   8 period of tangent function
  135.    wt: 6:   1 Unit Points Reflections Rotations
  136.    wt: 6:   21 Logarithms Powers and Exponentials
  137.    wt: 6:   16 References and Originality Question
  138.    wt: 6:   13 Trig Formulas for dot and cross Products
  139.    wt: 6:   12 cis formulas for sine cosines and tangent
  140.    wt: 6:   11 sine and cosine double triple angle formulas
  141.    wt: 6:   8 Unit Circle Development of Trigonometry
  142.    wt: 6:   2 Complex Numbers made easier we hope
  143.    wt: 6:   7 Trignometric Ratios Unit Circle
  144.    wt: 6:   1 Angle Measurement with Degrees
  145.    wt: 6:   12 Triangles Similarity More Problems
  146.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  147.    wt: 6:   9 Similarity of Triangles Usual Criteria
  148.    wt: 6:   3 Similarity by Design with coordinates
  149.    wt: 6:   2 Similarity By Design
  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:   5 Algebraic View of Slopes
  156.    wt: 6:   4 Equations for lines three forms
  157.    wt: 6:   3 Slope product for perpendicular lines
  158.    wt: 6:   13 Pythagorean spatial distance formulas
  159.    wt: 6:   12 Spatial Coordinates
  160.    wt: 6:   11 Triangle Inequality
  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:   10 sine cosine Angle Sum Formulas via cis
  187.    wt: 5:   9 The complex number valued trig function cis
  188.    wt: 5:   7 Second Way to Calculate Products
  189.    wt: 5:   6 Field Properties of Complex Number
  190.    wt: 5:   5 An Easy Proof of the Distributive Law
  191.    wt: 5:   4 Multiplication Properties
  192.    wt: 5:   3 Addition Properties
  193.    wt: 5:   1 Rectangular Polar Coordinates Review
  194.    wt: 5:   Appetizer A Complex Number Applet
  195.    wt: 5:   11 Triangle Similarity Missing Side Problem
  196.    wt: 5:   7 Translations Rotations Reflections Dilatations
  197.    wt: 5:   6 Geometric Diagrams in Class
  198.    wt: 5:   4 Similarity Definition with Coordinate
  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:   10 Division by Five Long and Short Ways
  205.    wt: 5:   4 Subtraction with Conversions Borrows and Letter J
  206.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  207.    wt: 5:   2 Subtraction Easy Case Examples
  208.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  209.    wt: 5:   8 What skills and work habits to require
  210.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  211.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  212.    wt: 4:   1 Squares and Square Roots Introduction
  213.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  214.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  215.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  216.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  217.    wt: 4:   8 GCD from Euclidean Algorithm
  218.    wt: 4:   7 GCD and LCM from prime factorization
  219.    wt: 4:   4 LCM of 8 and 10 via Prime
  220.    wt: 4:   3 Counting with Tables and Trees II
  221.    wt: 4:   2 Counting with Tables and Trees I
  222.    wt: 4:   1 Counting and Counting Methods I
  223.    wt: 4:   3 signed coordinates for maps and planes
  224.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  225.    wt: 4:   3 Multiplying Units and Numbers
  226.    wt: 4:   2 Equality and Units
  227.    wt: 4:   1 Addition and Subtraction with Units
  228.    wt: 4:   B Fractions and Two Term Ratios
  229.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  230.    wt: 4:   21 Reciprocals for Fractions and Wholes
  231.    wt: 4:   17 Efficient Ways to Add and Subtract
  232.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  233.    wt: 4:   14 Adding and Subtracting with Like Denominators
  234.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  235.    wt: 4:   9 Improper Fractions and Mixed Numbers
  236.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  237.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  238.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  239.    wt: 4:   26 Divisibility by 2 3 5 Example
  240.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  241.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  242.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  243.    wt: 4:   2 Prime and Composites less than 16
  244.    wt: 4:   Division with Counts and Length
  245.    wt: 4:   Long Division forwards and backwards Example 3
  246.    wt: 4:   Long Division forwards and backwards Example 2
  247.    wt: 4:   Long Division forwards and backwards Example 1
  248.    wt: 4:   2 Division with Single Digit Divisors
  249.    wt: 4:   4 Two and Three Digit Multipliers
  250.    wt: 4:   2 One Digit Multipliers
  251.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  252.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  253.    wt: 4:   Subtraction with J Conversions Example
  254.    wt: 4:   Subtraction Another Video Lesson
  255.    wt: 4:   9 22 Minute Subtraction Review Video
  256.    wt: 4:   8 Subtraction with Units of Measure
  257.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  258.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  259.    wt: 4:   5 A Tip for Efficent Subtraction
  260.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  261.    wt: 4:   7 Adding decimal fractions using decimal point
  262.    wt: 4:   5. How to add decimals C. Examples
  263.    wt: 4:   4. How to add with decimals B with conversions
  264.    wt: 4:   3. How to add with decimals A sans conversions
  265.    wt: 4:   2 Decimal Counting Practices
  266.    wt: 4:   1. Explaining Addition Table
  267.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  268.    wt: 3:   2 Combing Counts Addition Skills and Principles
  269.    wt: 3:   2 More and Less Than for Counts and Measures
  270.    wt: 3:   4 Greater More Less Than Signs in General
  271.    wt: 3:   3 Comparison of Negative Numbers
  272.    wt: 3:   5 Square Roots with primes more still
  273.    wt: 3:   4 Square Roots with primes more
  274.    wt: 3:   3 Properties of Square Roots with example
  275.    wt: 3:   2 Square Roots with Prime
  276.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  277.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  278.    wt: 3:   13 GCD from given Prime Factorization
  279.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  280.    wt: 3:   6 GCD from Prime
  281.    wt: 3:   5 Common Divisors 60 45 via Prime
  282.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  283.    wt: 3:   2 Least Common Multiple LCM intro via list method
  284.    wt: 3:   1 Least Common Multiples LCM Introduction
  285.    wt: 3:   12 GCD 2700 288 via Prime
  286.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  287.    wt: 3:   4 Counting with Trees Product Rule Take I
  288.    wt: 3:   11 What are real lengths and numbers
  289.    wt: 3:   7 negative and additive inverse
  290.    wt: 3:   5 lengths and signs of numbers
  291.    wt: 3:   2 signed and unsigned numbers as coordinates
  292.    wt: 3:   7 Converting or Changing Units
  293.    wt: 3:   6 Simplification of Fractions with Units
  294.    wt: 3:   4 Fractions with Units
  295.    wt: 3:   D Three Term Ratios
  296.    wt: 3:   22 Complex Compound Fractions
  297.    wt: 3:   21 Working With Signs
  298.    wt: 3:   20 Dividing Fractions the Why
  299.    wt: 3:   19 Dividing Fractions How TO
  300.    wt: 3:   18 Efficient Ways to Multiply
  301.    wt: 3:   16 Addition Subtraction Comparision Compared
  302.    wt: 3:   13 Fraction Comparison Algebraic View
  303.    wt: 3:   12 Fraction Comparison
  304.    wt: 3:   11 Simplification an Algebraic View
  305.    wt: 3:   8 Numerals Fractionals Quantals Take II
  306.    wt: 3:   7 Numerals Fractionals Quantals
  307.    wt: 3:   6 Multiplication of Mixed Numbers
  308.    wt: 3:   6 Multiplication Algebraically Take II
  309.    wt: 3:   5 Equivalent Fractions
  310.    wt: 3:   4 Fraction Multiplication
  311.    wt: 3:   3 Unit fraction of a fraction
  312.    wt: 3:   2 Unit Fraction Multiplication
  313.    wt: 3:   1 What is a fraction Take II
  314.    wt: 3:   1 What is a fraction
  315.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  316.    wt: 3:   11 Adding Integers Formulas and Examples
  317.    wt: 3:   8 Multiplication by Signed Numbers Integers
  318.    wt: 3:   7 Multiplication by Signs
  319.    wt: 3:   6 Multiplication by Natural Numbers
  320.    wt: 3:   5 Zero Movement and Additive Inverses
  321.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  322.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  323.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  324.    wt: 3:   23 Remainder Arithmetic Modulo 2
  325.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  326.    wt: 3:   21 Remainder Arithmetic Modulo 3
  327.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  328.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  329.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  330.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  331.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  332.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  333.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  334.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  335.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  336.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  337.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  338.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  339.    wt: 3:   5 Remainder Arithmetic Modulo 5
  340.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  341.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  342.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  343.    wt: 3:   1 Remainder Arithmetic Modulo 10
  344.    wt: 3:   17 Identify and Count Factors using Primes
  345.    wt: 3:   12 LCD GCD and LCM using Primes
  346.    wt: 3:   7 Calculator Usage Notes and Cautions
  347.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  348.    wt: 3:   5 Prime Factorization and a Square Rule
  349.    wt: 3:   3 video Primes and Composites from 9 times table
  350.    wt: 3:   Long Division Backwards more
  351.    wt: 3:   Long Division Backward
  352.    wt: 3:   12 Why Long Division Works Take III
  353.    wt: 3:   11 Another Single Digit Divisor Example
  354.    wt: 3:   9 Why Long Division Works Take II
  355.    wt: 3:   8 Correcting the Mistake
  356.    wt: 3:   7 Long Divison Mistake Catching
  357.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  358.    wt: 3:   5 Long Division Include Zeroes or not
  359.    wt: 3:   4 Division with 2 Digit Divsors
  360.    wt: 3:   3 Division Single Digit Divisor Example
  361.    wt: 3:   1 Divsion Physical Examples
  362.    wt: 3:   D Decimal Multiplication Methods Derived
  363.    wt: 3:   C Counting Areas with Powers of Ten
  364.    wt: 3:   B Powers of Ten
  365.    wt: 3:   A Elementary Basis for Multiplication Methods
  366.    wt: 3:   6 Multiplication Commutes Order Not Important
  367.    wt: 3:   5 Decimal Fraction Multiplication
  368.    wt: 3:   3 More One Digit Multipliers
  369.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  370.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  371.    wt: 3:   Video Power Notation in Decimal Expansion
  372.    wt: 3:   1 Why 3 times 5 gives 15
  373.    wt: 3:   11 Place Value SI Standard International way
  374.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  375.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  376.    wt: 3:   Quick history of numbers and algebra
  377.    wt: 3:   Exact Arithmetic Wholes and Fractions
  378.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  379.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  380.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  381.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  382.    wt: 2:   3 Euclidean Geometry Leanly
  383.    wt: 2:   Maps Plans Drawings
  384.    wt: 2:   2 Reading and Writing Skills
  385.    wt: 2:   Ages 12 to 14 Geometry
  386.    wt: 2:   Ages 10 to 12 Geometry
  387.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  388.    wt: 2:   13 Arrows and Vectors in a Plane
  389.    wt: 2:   B Decimal Comparison and Subtraction
  390.    wt: 2:   4 Rates Ratios and Proporitionality
  391.    wt: 2:   2 Algebraic View
  392.    wt: 2:   6 Equations and Systems Equivalent or Implied
  393.    wt: 2:   4 Subtraction and Division Axioms
  394.    wt: 2:   2 Addition and Multiplication Axioms
  395.    wt: 2:   3 More and Less Than with Unlike Signs
  396.    wt: 2:   8 Coordinates for Maps and Planes
  397.    wt: 2:   3 Geometric Formulas and Function Notation
  398.    wt: 2:   1 Formulas Dependence and Function Notation
  399.    wt: 2:   2 Three Examples
  400.    wt: 2:   arithmetic videos Real Player Format
  401.    wt: 2:   10 dividing signed numbers
  402.    wt: 2:   9 subtracting signed numbers
  403.    wt: 2:   8 multiplying signed numbers
  404.    wt: 2:   6 adding signed numbers
  405.    wt: 2:   4 signed coordinates for regions in space
  406.    wt: 2:   D Remainders Modulo 11 Pair Rule
  407.    wt: 2:   B Integer Long Division Multiple Choices
  408.    wt: 2:   A Associative Law Theorectical Note
  409.    wt: 2:   13 Subtraction with Additive Inverse
  410.    wt: 2:   12 Adding Integers More Examples
  411.    wt: 2:   10 Integer Multiplication Formulas
  412.    wt: 2:   9 Multiplying Integers
  413.    wt: 2:   4 Adding Movements wiht opposite directions
  414.    wt: 2:   3 Adding Movements with same direction
  415.    wt: 2:   1 Integers as Coordinates
  416.    wt: 2:   20 Uniqueness of Prime Factorization
  417.    wt: 2:   19 video Prime Factorization Unique
  418.    wt: 2:   18 video Count Factors given Prime Factorization
  419.    wt: 2:   16 video Factors of 980 using prime
  420.    wt: 2:   15 video Factors of 20 using Prime Factorization
  421.    wt: 2:   14 video Factors of 24 Take II
  422.    wt: 2:   13 video Factors of 24 using prime
  423.    wt: 2:   11 Efficient Square Rule Use
  424.    wt: 2:   10 video Prime Factorization upto 23 squared
  425.    wt: 2:   9 video Prime Factorization upto 19 squared
  426.    wt: 2:   8 video Prime Factorization upto 19
  427.    wt: 2:   4 video Prime Factorization Introduction
  428.    wt: 2:   1 video how Products are bigger than factor
  429.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  430.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  431.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  432.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  433.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  434.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  435.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  436.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  437.    wt: 2:   Formula Evaluation how to show work
  438.    wt: 2:   Expression Evaluation how to show work
  439.    wt: 2:   The 20 Times Table
  440.    wt: 2:   The 12 Times Table Visually
  441.    wt: 2:   About folder contents
  442.    wt: 2:   Volume of Solid by Cross Sections Lesson
  443.    wt: 2:   Example 1. Area Between x and x squared
  444.    wt: 2:   38 Formulas and derivatives for powers and roots
  445.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  446.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  447.    wt: 2:   9 Limits Continuity and Composition
  448.    wt: 2:   7 Evaluation by immediate or delayed substitution
  449.    wt: 2:   5 Jumps and absence of unlimited error control
  450.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  451.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  452.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  453.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  454.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  455.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  456.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  457.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  458.    wt: 2:   O On Learning Mathematics and Science
  459.    wt: 2:   N Improving Marks on Tests and Finals
  460.    wt: 2:   J. More on written work and showing skill
  461.    wt: 2:   I. Logic and language skills
  462.    wt: 2:   H Jigsaw puzzles and problem solving
  463.    wt: 2:   G. Written work formats for developing and showing skill
  464.    wt: 2:   E. When and how to correct errors
  465.    wt: 2:   How to Build Skills and Confidence
  466.    wt: 2:   Chapter 6 More Algebra and Geometry
  467.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  468.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  469.    wt: 2:   7 Games and Activities for Instruction
  470.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  471.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  472.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  473.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  474.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  475.    wt: 1:   Appendix 1 primary and preschool mathematic
  476.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  477.    wt: 1:   Ramblings Extrinsic numbers theory
  478.    wt: 1:   Skills Chapter 2 Geometry
  479.    wt: 1:   8 analytic geometry etc
  480.    wt: 1:   7 logic review and decimals an odd combination
  481.    wt: 1:   5 logarithms and exponentials etc
  482.    wt: 1:   About site lesson plans
  483.    wt: 1:   key notes and themes
  484.    wt: 1:   what should be learnt and When
  485.    wt: 1:   standards for course material
  486.    wt: 1:   Theory of Knowledge
  487.    wt: 1:   Education in mathematics science and technology
  488.    wt: 1:   Motivation and Context Problem
  489.    wt: 1:   fairness and inductive principles for instruction
  490.    wt: 1:   2 Conductance Resistance Duality02
  491.    wt: 1:   Home Tutoring and Home Schooling
  492.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  493.    wt: 1:   24 Standards For Skill Develoment Take II
  494.    wt: 1:   24 Standards For Skill Develoment
  495.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  496.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  497.    wt: 1:   17 Math Booklets for children and young teenagers
  498.    wt: 1:   14 Multiplication and Times Tables
  499.    wt: 1:   13 Addition and Addition Tables
  500.    wt: 1:   12 Goals and Objectives For Mathematics
  501.    wt: 1:   11 Help and Defend Your Child or Teens Education
  502.    wt: 1:   9 Streaming by Student Cooperation
  503.    wt: 1:   5 Patience Please for Yourself and Your Charges
  504.    wt: 1:   4 Learning Takes Time and Effort
  505.    wt: 1:   Ages 12 to 14 Skills with take home value
  506.    wt: 1:   Ages 12 to 14 Arithmetic
  507.    wt: 1:   Ages 10 to 12 Arithmetic
  508.    wt: 1:   Ages 9 to 10
  509.    wt: 1:   Ages 8 to 9
  510.    wt: 1:   Ages 7 to 8
  511.    wt: 1:   Ages 6 to 7
  512.    wt: 1:   Ages 4 plus to 5 plus
  513.    wt: 1:   Ages 3 plus to 4 plus
  514.    wt: 1:   26 Function definitions done and coming
  515.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  516.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  517.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  518.    wt: 1:   20 Interchanging coordinates a reflection
  519.    wt: 1:   19 Horizontal line rule and method
  520.    wt: 1:   18 Vertical Line Rule and Method
  521.    wt: 1:   17 Function maxima minima and their location
  522.    wt: 1:   11 Function Domain Range Source and Targets
  523.    wt: 1:   9 Set theory term relation possible origins
  524.    wt: 1:   8 Set view of relations and functions
  525.    wt: 1:   6 Set Existence Formation and Notation
  526.    wt: 1:   4 Function notation in and beyond mathematics
  527.    wt: 1:   9 quadratics physical and further context
  528.    wt: 1:   3 quadratics factoring by inspection
  529.    wt: 1:   11 Growth and Decay in Biology
  530.    wt: 1:   10 Exponential Growth and Decay Models
  531.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  532.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  533.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  534.    wt: 1:   A Modular and Remainder Arithmetic
  535.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  536.    wt: 1:   19 Signed Multiples of Vectors
  537.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  538.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  539.    wt: 1:   11 Signed Number Addition and Addition Properties
  540.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  541.    wt: 1:   8 Division and Mulplication of Compound Fractions
  542.    wt: 1:   E Long Division Methods more
  543.    wt: 1:   D Long Division Methods
  544.    wt: 1:   C Three Decimal Subtraction Methods
  545.    wt: 1:   A Decimal Addition Columm Methods
  546.    wt: 1:   8 Column Multiplication Methods in General
  547.    wt: 1:   7 Decimals Multiplication Methods Examples
  548.    wt: 1:   6 Column Methods for Decimal Multiplication
  549.    wt: 1:   5 Distributive Law for Whole Numbers
  550.    wt: 1:   4 Commutative Law Groups Counting Form
  551.    wt: 1:   3 Multiplicative Counting Skills Principles
  552.    wt: 1:   1 The Counting Origins of Numbers
  553.    wt: 1:   5 Areas of Rectangles Revisited
  554.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  555.    wt: 1:   5 Proportionality in Equivalent Fractions
  556.    wt: 1:   3 Proportionality Examples
  557.    wt: 1:   1 What is Proportionality
  558.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  559.    wt: 1:   6 Compound Interest Forward and Backwards
  560.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  561.    wt: 1:   5 Equality in Algebra
  562.    wt: 1:   3 Product Axioms Two Forms
  563.    wt: 1:   1 Equivalent Computation Rules
  564.    wt: 1:   5 Greater More Less Than Signs in General
  565.    wt: 1:   4 Comparison of Negative Numbers
  566.    wt: 1:   1 Real Numbers Comparison
  567.    wt: 1:   10 Real Number Lengths and Signs
  568.    wt: 1:   1 Whole and Natural Numbers
  569.    wt: 1:   5 Independent versus Dependent Variables
  570.    wt: 1:   4 Changing Letters
  571.    wt: 1:   2 Computation Rules Evaluation
  572.    wt: 1:   3 GE III Equation Addition and Multiplication
  573.    wt: 1:   2 GE II Comparison
  574.    wt: 1:   2 Essentially one exercises three with solution
  575.    wt: 1:   2 Three Examples
  576.    wt: 1:   Skill Development Notes
  577.    wt: 1:   10 One Example
  578.    wt: 1:   9 Three Examples
  579.    wt: 1:   8 One Example
  580.    wt: 1:   7 Two Examples
  581.    wt: 1:   6 Three Examples
  582.    wt: 1:   5 Three Examples
  583.    wt: 1:   4 Two Examples
  584.    wt: 1:   3 Two Examples
  585.    wt: 1:   1 Written work formats for developing and showing skill
  586.    wt: 1:   9 Sets in Probability and Statistics
  587.    wt: 1:   5 Talking about Numbers and Quantities
  588.    wt: 1:   4 A Brief Story of numbers and algebra
  589.    wt: 1:   015 School and work day counting tables
  590.    wt: 1:   012 Division of Time Intervals by Time Intervals
  591.    wt: 1:   011 Division of Time Intervals By Numbers
  592.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  593.    wt: 1:   4 Mixing and Changing Units of Time
  594.    wt: 1:   3 Units and Lengths of Time
  595.    wt: 1:   2 Time and Date Matters in School
  596.    wt: 1:   Example 2 volume of a cone
  597.    wt: 1:   Example 1 volume of a pyramid
  598.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  599.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  600.    wt: 1:   Example 4 with x function of y
  601.    wt: 1:   Example 3
  602.    wt: 1:   Example 2
  603.    wt: 1:   Example 1
  604.    wt: 1:   Area Between Curves Lesson Take 2
  605.    wt: 1:   Area Between Curves Lesson Take 1
  606.    wt: 1:   Summary
  607.    wt: 1:   17 Derivatives of quotients of sine and cosine
  608.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  609.    wt: 1:   15 sine and cosine derivatives 3rd step
  610.    wt: 1:   14 sine and cosine derivatives 2nd step
  611.    wt: 1:   13 sine and cosine derivatives 1st step
  612.    wt: 1:   11 Limits at infinity Three Examples
  613.    wt: 1:   10 Three one sided limits with infinite values
  614.    wt: 1:   8 Four Animated Examples
  615.    wt: 1:   6 Continuity at a point
  616.    wt: 1:   4 Numerical properties
  617.    wt: 1:   3 Decimal insights for limits continuity convergence
  618.    wt: 1:   2 Algebraic codification
  619.    wt: 1:   1 Numerical introduction
  620.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  621.    wt: 1:   PostScript For and Against Decimal Perspectives
  622.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  623.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  624.    wt: 1:   Chapter 23 Links To Trigonometry
  625.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  626.    wt: 1:   Chapter 12. Units and Slopes
  627.    wt: 1:   Chapter 10 Slopes and Units
  628.    wt: 1:   Chapter 7 Slopes and Velocity
  629.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  630.    wt: 1:   Chapter 2. Slopes and Ski Trails
  631.    wt: 1:   Appendix E. How To Study Mathematics and Why
  632.    wt: 1:   Appendix D. What to do in School and Why
  633.    wt: 1:   Chapter 31 Direct and Indirect Reason
  634.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  635.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  636.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  637.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  638.    wt: 1:   Chapter 20. Degrees and Radians
  639.    wt: 1:   Chapter 19. Functions and Sets
  640.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  641.    wt: 1:   Chapter 12. Shorthand Usage Guide
  642.    wt: 1:   Chapter 11. Why Shorthand
  643.    wt: 1:   Chapter 10 Describing and Changing Calculations
  644.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  645.    wt: 1:   Chapter 7 Two Treatments of Geometry
  646.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  647.    wt: 1:   Chapter 2 For and Against Mathematics
  648.    wt: 1:   Postscript B More on Story Telling and Reason
  649.    wt: 1:   Chapter 24 Direct and Indirect Reason
  650.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  651.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  652.    wt: 1:   Chapter 18 Sense and Knowledge
  653.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  654.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  655.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  656.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  657.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  658.    wt: 1:   S Adding words to algebra
  659.    wt: 1:   R Why Learn Mathematics Skills
  660.    wt: 1:   N Mathematics Prepare for College Studies
  661.    wt: 1:   M Words to extend arithmetic
  662.    wt: 1:   L Skills with take home value
  663.    wt: 1:   H more Routine to non routine problem solving
  664.    wt: 1:   F. The student teacher tutor feedback loop
  665.    wt: 1:   D. Check work a must with a caution
  666.    wt: 1:   C. Domino effect of being careful
  667.    wt: 1:   B. Domino effect of errors
  668.    wt: 1:   A. Skill has to be seen to believed
  669.    wt: 1:   Chapter 8 Skipped Topics and Why
  670.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  671.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  672.    wt: 1:   Helping the Blind in Logic and Mathematics
  673.    wt: 1:   More Algebra and Slope based Calculus Preview
  674.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  675.    wt: 1:   The Math Forum and Site Content
  676.    wt: 17:   16 Angles Subtended By Chords and Diameters
  677.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  678.    wt: 13:   2 Correspondence between Triangles
  679.    wt: 13:   Short Course on Euclidean Geometry
  680.    wt: 12:   PS C Similarity Use Recognize it in Trigonometry
  681.    wt: 12:   8 Isoceles Triangles
  682.    wt: 12:   6 Ruler and compass Angle Bisection
  683.    wt: 12:   3 Isometry of Triangles Congruence
  684.    wt: 12:   1 Initial Concepts and Terms
  685.    wt: 11:   PS H Distributive Law For Complex Numbers
  686.    wt: 11:   PS G Rotation Distributes over Addition
  687.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  688.    wt: 11:   PS E Multiplication with Polar Coordinates
  689.    wt: 11:   PS D Addition with Cartesian Coordinates
  690.    wt: 11:   PS B Parallelogram Construction Methods
  691.    wt: 11:   PS A Kite Construction Methods
  692.    wt: 11:   21 Parallelograms
  693.    wt: 11:   19 Right Triangle Similarity
  694.    wt: 11:   18 Triangle Similarity Take 1
  695.    wt: 11:   17 Right Bisectors of Triangle Sides
  696.    wt: 11:   15 Triangle Angle Sum is 180 degrees
  697.    wt: 11:   14 Parallel Lines Postulate
  698.    wt: 11:   13 Angle Side Angle Failure
  699.    wt: 11:   12 Side Angle Side Failure
  700.    wt: 11:   11 Triangle Construction Fails
  701.    wt: 11:   10 Dropping a perpendicular to line
  702.    wt: 11:   9 Construction of a right bisector
  703.    wt: 11:   7 Angle Side Angle
  704.    wt: 11:   5 Side Angle Side
  705.    wt: 11:   4 Side Side Side
  706.    wt: 11:   3 Lengths and Areas on Maps and Plans
  707.    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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