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

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

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

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

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

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

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

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51 matches:

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

Web Page Search

436 matches:

  1.    wt: 4:   8 Set view of relations and functions
  2.    wt: 4:   Why Trigonometry the whyslopes view
  3.    wt: 4:   3 Lengths and Areas on Maps and Plans
  4.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  5.    wt: 3:   26 Function definitions done and coming
  6.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  7.    wt: 3:   16 cotangent function Definition Graph and Inverse
  8.    wt: 3:   15 cosecant function Definition Graph and Inverse
  9.    wt: 3:   14 secant function Definition Graph and Inverse
  10.    wt: 3:   13 cosecant function Definition Graph and Inverse
  11.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  12.    wt: 3:   Chapter 19. Functions and Sets
  13.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  14.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  15.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  16.    wt: 2:   7 logic review and decimals an odd combination
  17.    wt: 2:   Maps Plans Drawings
  18.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  19.    wt: 2:   17 Function maxima minima and their location
  20.    wt: 2:   11 Function Domain Range Source and Targets
  21.    wt: 2:   4 Function notation in and beyond mathematics
  22.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  23.    wt: 2:   4 Polynomials Long division linear divisor
  24.    wt: 2:   A Global Time and Navigation
  25.    wt: 2:   3 Navigation with Arrows or Vectors
  26.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  27.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  28.    wt: 2:   14 cosine even and sine and tangent are odd
  29.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  30.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  31.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  32.    wt: 2:   1 Numerical view of lines and their equations
  33.    wt: 2:   4 Angles on Maps Plans drawn to scale
  34.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  35.    wt: 2:   13 Arrows and Vectors in a Plane
  36.    wt: 2:   8 Division and Mulplication of Compound Fractions
  37.    wt: 2:   4 Subtraction and Division Axioms
  38.    wt: 2:   2 More and Less Than for Counts and Measures
  39.    wt: 2:   8 Coordinates for Maps and Planes
  40.    wt: 2:   3 Geometric Formulas and Function Notation
  41.    wt: 2:   1 Formulas Dependence and Function Notation
  42.    wt: 2:   9 Sets in Probability and Statistics
  43.    wt: 2:   1 More and Less Than for Counts and Measures
  44.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  45.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  46.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  47.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  48.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  49.    wt: 2:   5 Common Divisors 60 45 via Prime
  50.    wt: 2:   4 LCM of 8 and 10 via Prime
  51.    wt: 2:   3 signed coordinates for maps and planes
  52.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  53.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  54.    wt: 2:   20 Dividing Fractions the Why
  55.    wt: 2:   3 video Primes and Composites from 9 times table
  56.    wt: 2:   Division with Counts and Length
  57.    wt: 2:   Long Division forwards and backwards Example 3
  58.    wt: 2:   Long Division forwards and backwards Example 2
  59.    wt: 2:   Long Division forwards and backwards Example 1
  60.    wt: 2:   12 Why Long Division Works Take III
  61.    wt: 2:   10 Division by Five Long and Short Ways
  62.    wt: 2:   9 Why Long Division Works Take II
  63.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  64.    wt: 2:   3 Division Single Digit Divisor Example
  65.    wt: 2:   2 Division with Single Digit Divisors
  66.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  67.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  68.    wt: 2:   9 22 Minute Subtraction Review Video
  69.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  70.    wt: 2:   6. Counting and adding units and mixed units
  71.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  72.    wt: 2:   38 Formulas and derivatives for powers and roots
  73.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  74.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  75.    wt: 2:   Appendix E. How To Study Mathematics and Why
  76.    wt: 2:   Appendix D. What to do in School and Why
  77.    wt: 2:   Chapter 11. Why Shorthand
  78.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  79.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  80.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  81.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  82.    wt: 2:   N Improving Marks on Tests and Finals
  83.    wt: 2:   H Jigsaw puzzles and problem solving
  84.    wt: 2:   Chapter 8 Skipped Topics and Why
  85.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  86.    wt: 2:   Chapter 2 Why Sets
  87.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  88.    wt: 2:   7 Games and Activities for Instruction
  89.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  90.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  91.    wt: 2:   More Algebra and Slope based Calculus Preview
  92.    wt: 1:   Appendix 1 primary and preschool mathematic
  93.    wt: 1:   G LAMP Introduction Problem Solving Skills
  94.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  95.    wt: 1:   9 combinatorics probability sets
  96.    wt: 1:   5 logarithms and exponentials etc
  97.    wt: 1:   why bother
  98.    wt: 1:   website reviews
  99.    wt: 1:   activities for students
  100.    wt: 1:   About site lesson plans
  101.    wt: 1:   key notes and themes
  102.    wt: 1:   what should be learnt and When
  103.    wt: 1:   standards for course material
  104.    wt: 1:   Operational Viewpoint to Value
  105.    wt: 1:   formal or informal peer review
  106.    wt: 1:   Education in mathematics science and technology
  107.    wt: 1:   Motivation and Context Problem
  108.    wt: 1:   fairness and inductive principles for instruction
  109.    wt: 1:   chapitre 12 00 les iles et division
  110.    wt: 1:   deux definitions pour variable
  111.    wt: 1:   Home Tutoring and Home Schooling
  112.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  113.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  114.    wt: 1:   24 Standards For Skill Develoment Take II
  115.    wt: 1:   24 Standards For Skill Develoment
  116.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  117.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  118.    wt: 1:   17 Math Booklets for children and young teenagers
  119.    wt: 1:   14 Multiplication and Times Tables
  120.    wt: 1:   13 Addition and Addition Tables
  121.    wt: 1:   12 Goals and Objectives For Mathematics
  122.    wt: 1:   11 Help and Defend Your Child or Teens Education
  123.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  124.    wt: 1:   5 Patience Please for Yourself and Your Charges
  125.    wt: 1:   4 Learning Takes Time and Effort
  126.    wt: 1:   2 Reading and Writing Skills
  127.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  128.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  129.    wt: 1:   23 Inverse Functions
  130.    wt: 1:   22 Square Root function graphically
  131.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  132.    wt: 1:   19 Horizontal line rule and method
  133.    wt: 1:   18 Vertical Line Rule and Method
  134.    wt: 1:   15 Sign analysis of functions
  135.    wt: 1:   12 Function Domain Recognition Exercises
  136.    wt: 1:   7 Functions with finite domains
  137.    wt: 1:   6 Set Existence Formation and Notation
  138.    wt: 1:   5 Function notation for geometric transformations
  139.    wt: 1:   3 Formula or function graphing exercise
  140.    wt: 1:   2 Algebraic use of function notation
  141.    wt: 1:   1 Geometric Introduction of Function Notation
  142.    wt: 1:   9 quadratics physical and further context
  143.    wt: 1:   11 Growth and Decay in Biology
  144.    wt: 1:   10 Exponential Growth and Decay Models
  145.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  146.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  147.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  148.    wt: 1:   Rewriting algebraic substitution as function substitutions
  149.    wt: 1:   10 arctan left inverse of tangent Definition
  150.    wt: 1:   7 arcsin left inverse of sine Definition
  151.    wt: 1:   6 Graph of arccos function
  152.    wt: 1:   3 Left Inverse of cosine arccos definition
  153.    wt: 1:   2 cosine function more properties
  154.    wt: 1:   1 cosine function properties
  155.    wt: 1:   9 Summary Degrees to Radians and back
  156.    wt: 1:   1 Degrees and Radians Introduction
  157.    wt: 1:   15 Dot and Cross Product
  158.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  159.    wt: 1:   13 Velocity Vectors in Physics
  160.    wt: 1:   9 Head to Tail Coordinate View
  161.    wt: 1:   8 Parallel Vectors
  162.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  163.    wt: 1:   6 Vectors with Coordinates
  164.    wt: 1:   Vector and Complex Number Applet
  165.    wt: 1:   Parallel Lines and Parallel Transversals
  166.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  167.    wt: 1:   Parallel Lines and Interior Angles
  168.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  169.    wt: 1:   Straight Lines Instersection Solving Equations
  170.    wt: 1:   7 Tangent Function is odd on this domain
  171.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  172.    wt: 1:   5 Tangent Function Graph
  173.    wt: 1:   4 Tangent Function Properties
  174.    wt: 1:   17 tangent function angle sum formulas
  175.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  176.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  177.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  178.    wt: 1:   30 unit circle calculation of six trigonometric functions
  179.    wt: 1:   29 secant cosecant and cotangent for acute angles
  180.    wt: 1:   27 Logarithmic use of products of sines and cosines
  181.    wt: 1:   26 Formulas for products of sines and cosines
  182.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  183.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  184.    wt: 1:   21 sine and cosine Half Angle Formulas
  185.    wt: 1:   20 sine and cosine Double Angle Formulas
  186.    wt: 1:   17E Trig Formulas for dot and cross Products
  187.    wt: 1:   17D cis formulas for sine cosines and tangent
  188.    wt: 1:   17C sine and cosine double triple angle formulas
  189.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  190.    wt: 1:   17A The complex number valued trig function cis
  191.    wt: 1:   16 Right Triangle Complementary Angle Relations
  192.    wt: 1:   15 sine cosine Complementary Angle Relations
  193.    wt: 1:   13 Graph of tangent function many periods
  194.    wt: 1:   12 Graph of tangent function for one period
  195.    wt: 1:   11 tangent function undefined when terminal side vertical
  196.    wt: 1:   10 Graphs of sines and cosines many periods
  197.    wt: 1:   9 Graphs of sine and cosine over one period
  198.    wt: 1:   8 period of tangent function
  199.    wt: 1:   7 period of sine and cosine
  200.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  201.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  202.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  203.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  204.    wt: 1:   Unit Circle Development of Trigonometry
  205.    wt: 1:   21 Logarithms Powers and Exponentials
  206.    wt: 1:   16 References and Originality Question
  207.    wt: 1:   13 Trig Formulas for dot and cross Products
  208.    wt: 1:   12 cis formulas for sine cosines and tangent
  209.    wt: 1:   11 sine and cosine double triple angle formulas
  210.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  211.    wt: 1:   9 The complex number valued trig function cis
  212.    wt: 1:   8 Unit Circle Development of Trigonometry
  213.    wt: 1:   1 Rectangular Polar Coordinates Review
  214.    wt: 1:   8 Triangles Cascade Problem Solving
  215.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  216.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  217.    wt: 1:   3 Trigonometric Ratios sine and cosine
  218.    wt: 1:   8 Similarity of Triangles and Polygons
  219.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  220.    wt: 1:   4 Similarity Definition with Coordinate
  221.    wt: 1:   10 Midpoint of [a b] and [b a]
  222.    wt: 1:   7 Exercises to test skill and concept mastery
  223.    wt: 1:   6 Intersection of lines by solving linear systems
  224.    wt: 1:   5 Algebraic View of Slopes
  225.    wt: 1:   What is and is not here
  226.    wt: 1:   6 Polar Multiplication and Rotation
  227.    wt: 1:   5 Cartesian Addition and Translation
  228.    wt: 1:   4 Polar Coordinates to and from
  229.    wt: 1:   3 Rectangular Coordinates Review
  230.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  231.    wt: 1:   16 Angles Subtended By Chords and Diameters
  232.    wt: 1:   6 Ruler and compass Angle Bisection
  233.    wt: 1:   1 Initial Concepts and Terms
  234.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  235.    wt: 1:   6 Figuring with Maps Not to Scale
  236.    wt: 1:   A Modular and Remainder Arithmetic
  237.    wt: 1:   A Signed Number Arithmetic Review
  238.    wt: 1:   19 Signed Multiples of Vectors
  239.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  240.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  241.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  242.    wt: 1:   11 Signed Number Addition and Addition Properties
  243.    wt: 1:   9 Division with Digits after Decimal Point
  244.    wt: 1:   E Long Division Methods more
  245.    wt: 1:   D Long Division Methods
  246.    wt: 1:   B Decimal Comparison and Subtraction
  247.    wt: 1:   2 Combing Counts Addition Skills and Principles
  248.    wt: 1:   5 Areas of Rectangles Revisited
  249.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  250.    wt: 1:   4 Rates Ratios and Proporitionality
  251.    wt: 1:   2 Algebraic View
  252.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  253.    wt: 1:   6 Compound Interest Forward and Backwards
  254.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  255.    wt: 1:   6 Equations and Systems Equivalent or Implied
  256.    wt: 1:   2 Addition and Multiplication Axioms
  257.    wt: 1:   3 More and Less Than with Unlike Signs
  258.    wt: 1:   15 Real Number Division
  259.    wt: 1:   10 Real Number Lengths and Signs
  260.    wt: 1:   1 Whole and Natural Numbers
  261.    wt: 1:   3 GE III Equation Addition and Multiplication
  262.    wt: 1:   4 Solving a triangular system exercise
  263.    wt: 1:   3 Solving triangular system example
  264.    wt: 1:   1 Written work formats for developing and showing skill
  265.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  266.    wt: 1:   8 Sets of Numbers
  267.    wt: 1:   3 Counting with Sets etc
  268.    wt: 1:   1 Finite Sets
  269.    wt: 1:   5 Talking about Numbers and Quantities
  270.    wt: 1:   4 A Brief Story of numbers and algebra
  271.    wt: 1:   arithmetic videos Real Player Format
  272.    wt: 1:   2 More and Less Than with Unlike Signs
  273.    wt: 1:   1 Squares and Square Roots Introduction
  274.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  275.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  276.    wt: 1:   7 GCD and LCM from prime factorization
  277.    wt: 1:   2 Least Common Multiple LCM intro via list method
  278.    wt: 1:   12 GCD 2700 288 via Prime
  279.    wt: 1:   3 Counting with Tables and Trees II
  280.    wt: 1:   2 Counting with Tables and Trees I
  281.    wt: 1:   1 Counting and Counting Methods I
  282.    wt: 1:   11 What are real lengths and numbers
  283.    wt: 1:   10 dividing signed numbers
  284.    wt: 1:   7 negative and additive inverse
  285.    wt: 1:   5 lengths and signs of numbers
  286.    wt: 1:   2 signed and unsigned numbers as coordinates
  287.    wt: 1:   3 Multiplying Units and Numbers
  288.    wt: 1:   2 Equality and Units
  289.    wt: 1:   1 Addition and Subtraction with Units
  290.    wt: 1:   B Fractions and Two Term Ratios
  291.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  292.    wt: 1:   21 Reciprocals for Fractions and Wholes
  293.    wt: 1:   19 Dividing Fractions How TO
  294.    wt: 1:   17 Efficient Ways to Add and Subtract
  295.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  296.    wt: 1:   14 Adding and Subtracting with Like Denominators
  297.    wt: 1:   13 Fraction Comparison Algebraic View
  298.    wt: 1:   11 Simplification an Algebraic View
  299.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  300.    wt: 1:   9 Improper Fractions and Mixed Numbers
  301.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  302.    wt: 1:   B Integer Long Division Multiple Choices
  303.    wt: 1:   11 Adding Integers Formulas and Examples
  304.    wt: 1:   5 Zero Movement and Additive Inverses
  305.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  306.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  307.    wt: 1:   26 Divisibility by 2 3 5 Example
  308.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  309.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  310.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  311.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  312.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  313.    wt: 1:   19 video Prime Factorization Unique
  314.    wt: 1:   18 video Count Factors given Prime Factorization
  315.    wt: 1:   17 Identify and Count Factors using Primes
  316.    wt: 1:   16 video Factors of 980 using prime
  317.    wt: 1:   15 video Factors of 20 using Prime Factorization
  318.    wt: 1:   14 video Factors of 24 Take II
  319.    wt: 1:   13 video Factors of 24 using prime
  320.    wt: 1:   12 LCD GCD and LCM using Primes
  321.    wt: 1:   10 video Prime Factorization upto 23 squared
  322.    wt: 1:   9 video Prime Factorization upto 19 squared
  323.    wt: 1:   8 video Prime Factorization upto 19
  324.    wt: 1:   7 Calculator Usage Notes and Cautions
  325.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  326.    wt: 1:   5 Prime Factorization and a Square Rule
  327.    wt: 1:   4 video Prime Factorization Introduction
  328.    wt: 1:   2 Prime and Composites less than 16
  329.    wt: 1:   1 video how Products are bigger than factor
  330.    wt: 1:   Long Division Backwards more
  331.    wt: 1:   Long Division Backward
  332.    wt: 1:   11 Another Single Digit Divisor Example
  333.    wt: 1:   7 Long Divison Mistake Catching
  334.    wt: 1:   5 Long Division Include Zeroes or not
  335.    wt: 1:   4 Division with 2 Digit Divsors
  336.    wt: 1:   4 Two and Three Digit Multipliers
  337.    wt: 1:   Video Power Notation in Decimal Expansion
  338.    wt: 1:   1 Why 3 times 5 gives 15
  339.    wt: 1:   Subtraction Another Video Lesson
  340.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  341.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  342.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  343.    wt: 1:   8 What skills and work habits to require
  344.    wt: 1:   11 Place Value SI Standard International way
  345.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  346.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  347.    wt: 1:   Quick history of numbers and algebra
  348.    wt: 1:   Exact Arithmetic Wholes and Fractions
  349.    wt: 1:   The 12 Times Table Visually
  350.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  351.    wt: 1:   015 School and work day counting tables
  352.    wt: 1:   012 Division of Time Intervals by Time Intervals
  353.    wt: 1:   011 Division of Time Intervals By Numbers
  354.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  355.    wt: 1:   8 Addition of Time Intervals via subtotaling
  356.    wt: 1:   4 Mixing and Changing Units of Time
  357.    wt: 1:   3 Units and Lengths of Time
  358.    wt: 1:   2 Time and Date Matters in School
  359.    wt: 1:   Example 1. Area Between x and x squared
  360.    wt: 1:   Example 4 with x function of y
  361.    wt: 1:   A Chain Rule Real Player video examples
  362.    wt: 1:   34 Derivative of exponential function
  363.    wt: 1:   33 Chain Rule Real Player video examples
  364.    wt: 1:   31 Derivatives of inverse functions
  365.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  366.    wt: 1:   26 Chain Rule Recognising outer inner functions
  367.    wt: 1:   19 Chain Rule for linear functions
  368.    wt: 1:   17 Derivatives of quotients of sine and cosine
  369.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  370.    wt: 1:   15 sine and cosine derivatives 3rd step
  371.    wt: 1:   14 sine and cosine derivatives 2nd step
  372.    wt: 1:   13 sine and cosine derivatives 1st step
  373.    wt: 1:   3 Motivation for Limit Definition Take 2
  374.    wt: 1:   2 Motivation for Limit Definition Take 1
  375.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  376.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  377.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  378.    wt: 1:   9 Limits Continuity and Composition
  379.    wt: 1:   5 Jumps and absence of unlimited error control
  380.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  381.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  382.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  383.    wt: 1:   F.1 What Functions are Continuous
  384.    wt: 1:   PostScript For and Against Decimal Perspectives
  385.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  386.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  387.    wt: 1:   Chapter 23 Links To Trigonometry
  388.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  389.    wt: 1:   Chapter 12. Units and Slopes
  390.    wt: 1:   Chapter 10 Slopes and Units
  391.    wt: 1:   Chapter 7 Slopes and Velocity
  392.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  393.    wt: 1:   Chapter 2. Slopes and Ski Trails
  394.    wt: 1:   Chapter 31 Direct and Indirect Reason
  395.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  396.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  397.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  398.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  399.    wt: 1:   Chapter 20. Degrees and Radians
  400.    wt: 1:   Chapter 16. Painless Theorem Proving
  401.    wt: 1:   Chapter 15. Solving Linear Equations
  402.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  403.    wt: 1:   Chapter 12. Shorthand Usage Guide
  404.    wt: 1:   Chapter 10 Describing and Changing Calculations
  405.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  406.    wt: 1:   Chapter 2 For and Against Mathematics
  407.    wt: 1:   Postscript B More on Story Telling and Reason
  408.    wt: 1:   Chapter 24 Direct and Indirect Reason
  409.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  410.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  411.    wt: 1:   Chapter 18 Sense and Knowledge
  412.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  413.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  414.    wt: 1:   R Why Learn Mathematics Skills
  415.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  416.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  417.    wt: 1:   O On Learning Mathematics and Science
  418.    wt: 1:   J. More on written work and showing skill
  419.    wt: 1:   I. Logic and language skills
  420.    wt: 1:   H more Routine to non routine problem solving
  421.    wt: 1:   G. Written work formats for developing and showing skill
  422.    wt: 1:   E. When and how to correct errors
  423.    wt: 1:   How to Build Skills and Confidence
  424.    wt: 1:   Chapter 6 More Algebra and Geometry
  425.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  426.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  427.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  428.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  429.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  430.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  431.    wt: 1:   Helping the Blind in Logic and Mathematics
  432.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  433.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  434.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  435.    wt: 1:   The Math Forum and Site Content
  436.    wt: 1:   Site Reviews

Extended Search

779 matches:

  1.    wt: 9:   16 cotangent function Definition Graph and Inverse
  2.    wt: 9:   15 cosecant function Definition Graph and Inverse
  3.    wt: 9:   14 secant function Definition Graph and Inverse
  4.    wt: 9:   13 cosecant function Definition Graph and Inverse
  5.    wt: 9:   4 Angles on Maps Plans drawn to scale
  6.    wt: 8:   A Global Time and Navigation
  7.    wt: 8:   3 Navigation with Arrows or Vectors
  8.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 8:   7 Tangent Function is odd on this domain
  10.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  11.    wt: 8:   5 Tangent Function Graph
  12.    wt: 8:   4 Tangent Function Properties
  13.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  14.    wt: 8:   14 cosine even and sine and tangent are odd
  15.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  16.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 8:   1 Numerical view of lines and their equations
  18.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  19.    wt: 8:   6 Figuring with Maps Not to Scale
  20.    wt: 7:   10 arctan left inverse of tangent Definition
  21.    wt: 7:   7 arcsin left inverse of sine Definition
  22.    wt: 7:   6 Graph of arccos function
  23.    wt: 7:   3 Left Inverse of cosine arccos definition
  24.    wt: 7:   2 cosine function more properties
  25.    wt: 7:   1 cosine function properties
  26.    wt: 7:   9 Summary Degrees to Radians and back
  27.    wt: 7:   1 Degrees and Radians Introduction
  28.    wt: 7:   15 Dot and Cross Product
  29.    wt: 7:   14 Why Scalar Multiplication Distributes Physical Argument
  30.    wt: 7:   13 Velocity Vectors in Physics
  31.    wt: 7:   9 Head to Tail Coordinate View
  32.    wt: 7:   8 Parallel Vectors
  33.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  34.    wt: 7:   6 Vectors with Coordinates
  35.    wt: 7:   Vector and Complex Number Applet
  36.    wt: 7:   4 graphing y=Asin(x c)
  37.    wt: 7:   3 graphing y=f(x c) plus K
  38.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  39.    wt: 7:   1 graphing y=f(x a)
  40.    wt: 7:   Parallel Lines and Parallel Transversals
  41.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  42.    wt: 7:   Parallel Lines and Interior Angles
  43.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  44.    wt: 7:   Straight Lines Instersection Solving Equations
  45.    wt: 7:   D Straight Lines Slope from Coordinates Examples
  46.    wt: 7:   C Straight Lines Slope from Coordinates
  47.    wt: 7:   B Straight Line Slope Scaling Properties More
  48.    wt: 7:   A Straight Line Slope Scaling Properties
  49.    wt: 7:   14 Straight Lines Equations General Case
  50.    wt: 7:   13 Straight Lines Finding Equations from 2 points
  51.    wt: 7:   12 Straight Lines Graphing mx plus b
  52.    wt: 7:   11 Straight Lines Graphing y=mx
  53.    wt: 7:   10 Straight Lines through Origin Equations More
  54.    wt: 7:   9 Straight Lines through Origin Equations
  55.    wt: 7:   8 Straight Lines Equation for vertical
  56.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  57.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  58.    wt: 7:   1 Straight Lines Slope Concept
  59.    wt: 7:   17 tangent function angle sum formulas
  60.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  61.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  62.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  63.    wt: 7:   30 unit circle calculation of six trigonometric functions
  64.    wt: 7:   29 secant cosecant and cotangent for acute angles
  65.    wt: 7:   27 Logarithmic use of products of sines and cosines
  66.    wt: 7:   26 Formulas for products of sines and cosines
  67.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  68.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  69.    wt: 7:   21 sine and cosine Half Angle Formulas
  70.    wt: 7:   20 sine and cosine Double Angle Formulas
  71.    wt: 7:   17E Trig Formulas for dot and cross Products
  72.    wt: 7:   17D cis formulas for sine cosines and tangent
  73.    wt: 7:   17C sine and cosine double triple angle formulas
  74.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  75.    wt: 7:   17A The complex number valued trig function cis
  76.    wt: 7:   16 Right Triangle Complementary Angle Relations
  77.    wt: 7:   15 sine cosine Complementary Angle Relations
  78.    wt: 7:   13 Graph of tangent function many periods
  79.    wt: 7:   12 Graph of tangent function for one period
  80.    wt: 7:   11 tangent function undefined when terminal side vertical
  81.    wt: 7:   10 Graphs of sines and cosines many periods
  82.    wt: 7:   9 Graphs of sine and cosine over one period
  83.    wt: 7:   8 period of tangent function
  84.    wt: 7:   7 period of sine and cosine
  85.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  86.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  87.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  88.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  89.    wt: 7:   Unit Circle Development of Trigonometry
  90.    wt: 7:   8 Triangles Cascade Problem Solving
  91.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  92.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  93.    wt: 7:   3 Trigonometric Ratios sine and cosine
  94.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  95.    wt: 7:   10 Midpoint of [a b] and [b a]
  96.    wt: 7:   7 Exercises to test skill and concept mastery
  97.    wt: 7:   6 Intersection of lines by solving linear systems
  98.    wt: 7:   5 Algebraic View of Slopes
  99.    wt: 7:   What is and is not here
  100.    wt: 7:   6 Polar Multiplication and Rotation
  101.    wt: 7:   5 Cartesian Addition and Translation
  102.    wt: 7:   4 Polar Coordinates to and from
  103.    wt: 7:   3 Rectangular Coordinates Review
  104.    wt: 7:   A Measurement with Ruler Proper Use
  105.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  106.    wt: 7:   2 Measuring Area Directly
  107.    wt: 7:   1 Length Measurement
  108.    wt: 6:   12 motivation for term arctan
  109.    wt: 6:   11 arctan left inverse of tangent Graph
  110.    wt: 6:   9 motivation for name arcsin
  111.    wt: 6:   8 arcsin left inverse of sine Graph
  112.    wt: 6:   5 Swapping Coordinates is a reflection
  113.    wt: 6:   4 possible motivation for term arccos
  114.    wt: 6:   8 Radian Measures of Common Angles
  115.    wt: 6:   7 Radian Measures in special Triangles
  116.    wt: 6:   6 Radian Measure to Degrees
  117.    wt: 6:   5 Degrees to Radian Measure
  118.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  119.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  120.    wt: 6:   2 Radian Measure Numerical Value of one degree
  121.    wt: 6:   12 From Applied To Pure Mathematics
  122.    wt: 6:   11 Component Method
  123.    wt: 6:   10 Parallelogram Addition Method
  124.    wt: 6:   5 Head To Tail Arrow Addition
  125.    wt: 6:   4 Resultant of a Sum of Movements
  126.    wt: 6:   2 Signed Coordinates
  127.    wt: 6:   1 Unsigned Coordinates
  128.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  129.    wt: 6:   Triangle Angles Sum To 180 Degrees
  130.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  131.    wt: 6:   Straight Lines ASA Intersection Study More
  132.    wt: 6:   Straight Lines ASA Intersection Study
  133.    wt: 6:   Straight Lines Intersection of
  134.    wt: 6:   32 seven rows of pascals triangle
  135.    wt: 6:   31 basic secant cosecant cotangent trig identities
  136.    wt: 6:   28 Expressing products of sines cosines as sums
  137.    wt: 6:   25 tangent double angle formula Slope connection
  138.    wt: 6:   24 tangent Angle Difference Formula
  139.    wt: 6:   18 sum of sinusoidal waves as a single wave
  140.    wt: 6:   17G Pythagorean Theorem Converse
  141.    wt: 6:   17F Law of cosines
  142.    wt: 6:   2 Quadrant I reference Angles
  143.    wt: 6:   1 Unit Points Reflections Rotations
  144.    wt: 6:   21 Logarithms Powers and Exponentials
  145.    wt: 6:   16 References and Originality Question
  146.    wt: 6:   13 Trig Formulas for dot and cross Products
  147.    wt: 6:   12 cis formulas for sine cosines and tangent
  148.    wt: 6:   11 sine and cosine double triple angle formulas
  149.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  150.    wt: 6:   9 The complex number valued trig function cis
  151.    wt: 6:   8 Unit Circle Development of Trigonometry
  152.    wt: 6:   1 Rectangular Polar Coordinates Review
  153.    wt: 6:   7 Trignometric Ratios Unit Circle
  154.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  155.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  156.    wt: 6:   1 Angle Measurement with Degrees
  157.    wt: 6:   8 Similarity of Triangles and Polygons
  158.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  159.    wt: 6:   4 Similarity Definition with Coordinate
  160.    wt: 6:   Four Simple Exercises
  161.    wt: 6:   12 Links Lessons elsewhere
  162.    wt: 6:   11 A Partial Summary
  163.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  164.    wt: 6:   8 Mid Point Formula
  165.    wt: 6:   4 Equations for lines three forms
  166.    wt: 6:   3 Slope product for perpendicular lines
  167.    wt: 6:   2 point slope equation for a line
  168.    wt: 6:   13 Pythagorean spatial distance formulas
  169.    wt: 6:   12 Spatial Coordinates
  170.    wt: 6:   11 Triangle Inequality
  171.    wt: 6:   10 Pythagorean plane distance formula
  172.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  173.    wt: 6:   8 Distance Between Points on a Line
  174.    wt: 6:   7 Complex Numbers Appetizer
  175.    wt: 6:   2 Cartesian Coordinates with signs
  176.    wt: 6:   1 Cartesian Coordinates sans signs
  177.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  178.    wt: 6:   16 Angles Subtended By Chords and Diameters
  179.    wt: 6:   6 Ruler and compass Angle Bisection
  180.    wt: 6:   1 Initial Concepts and Terms
  181.    wt: 5:   8 Set view of relations and functions
  182.    wt: 5:   20 N th Roots of Complex Numbers
  183.    wt: 5:   19 N th Roots of Unity
  184.    wt: 5:   18 Sixth Roots of Unity
  185.    wt: 5:   17 Cube Roots of unity
  186.    wt: 5:   15 Pythagorean Theorem Converse
  187.    wt: 5:   14 Law of cosines
  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:   2 Complex Numbers made easier we hope
  194.    wt: 5:   Appetizer A Complex Number Applet
  195.    wt: 5:   12 Triangles Similarity More Problems
  196.    wt: 5:   11 Triangle Similarity Missing Side Problem
  197.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  198.    wt: 5:   9 Similarity of Triangles Usual Criteria
  199.    wt: 5:   7 Translations Rotations Reflections Dilatations
  200.    wt: 5:   6 Geometric Diagrams in Class
  201.    wt: 5:   3 Similarity by Design with coordinates
  202.    wt: 5:   2 Similarity By Design
  203.    wt: 5:   1 Early Concept of Like or Similar Shapes
  204.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  205.    wt: 5:   PS H Distributive Law For Complex Numbers
  206.    wt: 5:   PS G Rotation Distributes over Addition
  207.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  208.    wt: 5:   PS E Multiplication with Polar Coordinates
  209.    wt: 5:   PS D Addition with Cartesian Coordinates
  210.    wt: 5:   PS B Parallelogram Construction Methods
  211.    wt: 5:   PS A Kite Construction Methods
  212.    wt: 5:   21 Parallelograms
  213.    wt: 5:   19 Right Triangle Similarity
  214.    wt: 5:   18 Triangle Similarity Take 1
  215.    wt: 5:   17 Right Bisectors of Triangle Sides
  216.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  217.    wt: 5:   14 Parallel Lines Postulate
  218.    wt: 5:   13 Angle Side Angle Failure
  219.    wt: 5:   12 Side Angle Side Failure
  220.    wt: 5:   11 Triangle Construction Fails
  221.    wt: 5:   10 Dropping a perpendicular to line
  222.    wt: 5:   9 Construction of a right bisector
  223.    wt: 5:   8 Isoceles Triangles
  224.    wt: 5:   7 Angle Side Angle
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  232.    wt: 4:   26 Function definitions done and coming
  233.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  234.    wt: 4:   3 Geometric Formulas and Function Notation
  235.    wt: 4:   1 Formulas Dependence and Function Notation
  236.    wt: 4:   1 More and Less Than for Counts and Measures
  237.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  238.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  239.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  240.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  241.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  242.    wt: 4:   5 Common Divisors 60 45 via Prime
  243.    wt: 4:   4 LCM of 8 and 10 via Prime
  244.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  245.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  246.    wt: 4:   20 Dividing Fractions the Why
  247.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  248.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  249.    wt: 4:   26 Divisibility by 2 3 5 Example
  250.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  251.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  252.    wt: 4:   11 Remainder Arithmetic Long Division by 5 Quickly more
  253.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  254.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  255.    wt: 4:   Division with Counts and Length
  256.    wt: 4:   Long Division forwards and backwards Example 3
  257.    wt: 4:   Long Division forwards and backwards Example 2
  258.    wt: 4:   Long Division forwards and backwards Example 1
  259.    wt: 4:   12 Why Long Division Works Take III
  260.    wt: 4:   10 Division by Five Long and Short Ways
  261.    wt: 4:   9 Why Long Division Works Take II
  262.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  263.    wt: 4:   3 Division Single Digit Divisor Example
  264.    wt: 4:   2 Division with Single Digit Divisors
  265.    wt: 4:   9 22 Minute Subtraction Review Video
  266.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  267.    wt: 4:   6. Counting and adding units and mixed units
  268.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  269.    wt: 3:   17 Function maxima minima and their location
  270.    wt: 3:   11 Function Domain Range Source and Targets
  271.    wt: 3:   4 Function notation in and beyond mathematics
  272.    wt: 3:   4 Subtraction and Division Axioms
  273.    wt: 3:   2 More and Less Than for Counts and Measures
  274.    wt: 3:   9 Sets in Probability and Statistics
  275.    wt: 3:   2 More and Less Than with Unlike Signs
  276.    wt: 3:   1 Squares and Square Roots Introduction
  277.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  278.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  279.    wt: 3:   7 GCD and LCM from prime factorization
  280.    wt: 3:   2 Least Common Multiple LCM intro via list method
  281.    wt: 3:   12 GCD 2700 288 via Prime
  282.    wt: 3:   3 Counting with Tables and Trees II
  283.    wt: 3:   2 Counting with Tables and Trees I
  284.    wt: 3:   1 Counting and Counting Methods I
  285.    wt: 3:   3 signed coordinates for maps and planes
  286.    wt: 3:   3 Multiplying Units and Numbers
  287.    wt: 3:   2 Equality and Units
  288.    wt: 3:   1 Addition and Subtraction with Units
  289.    wt: 3:   B Fractions and Two Term Ratios
  290.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  291.    wt: 3:   21 Reciprocals for Fractions and Wholes
  292.    wt: 3:   19 Dividing Fractions How TO
  293.    wt: 3:   17 Efficient Ways to Add and Subtract
  294.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  295.    wt: 3:   14 Adding and Subtracting with Like Denominators
  296.    wt: 3:   13 Fraction Comparison Algebraic View
  297.    wt: 3:   11 Simplification an Algebraic View
  298.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  299.    wt: 3:   9 Improper Fractions and Mixed Numbers
  300.    wt: 3:   23 Remainder Arithmetic Modulo 2
  301.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  302.    wt: 3:   21 Remainder Arithmetic Modulo 3
  303.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  304.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  305.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  306.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  307.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  308.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  309.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  310.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  311.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  312.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  313.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  314.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  315.    wt: 3:   5 Remainder Arithmetic Modulo 5
  316.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  317.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  318.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  319.    wt: 3:   1 Remainder Arithmetic Modulo 10
  320.    wt: 3:   3 video Primes and Composites from 9 times table
  321.    wt: 3:   Long Division Backwards more
  322.    wt: 3:   Long Division Backward
  323.    wt: 3:   11 Another Single Digit Divisor Example
  324.    wt: 3:   7 Long Divison Mistake Catching
  325.    wt: 3:   5 Long Division Include Zeroes or not
  326.    wt: 3:   4 Division with 2 Digit Divsors
  327.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  328.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  329.    wt: 3:   Subtraction Another Video Lesson
  330.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  331.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  332.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  333.    wt: 3:   8 What skills and work habits to require
  334.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  335.    wt: 3:   Example 1. Area Between x and x squared
  336.    wt: 3:   Example 4 with x function of y
  337.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  338.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  339.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  340.    wt: 3:   Chapter 19. Functions and Sets
  341.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  342.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  343.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  344.    wt: 3:   N Improving Marks on Tests and Finals
  345.    wt: 3:   H Jigsaw puzzles and problem solving
  346.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  347.    wt: 3:   7 Games and Activities for Instruction
  348.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  349.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  350.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  351.    wt: 2:   7 logic review and decimals an odd combination
  352.    wt: 2:   Maps Plans Drawings
  353.    wt: 2:   23 Inverse Functions
  354.    wt: 2:   22 Square Root function graphically
  355.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  356.    wt: 2:   19 Horizontal line rule and method
  357.    wt: 2:   18 Vertical Line Rule and Method
  358.    wt: 2:   15 Sign analysis of functions
  359.    wt: 2:   12 Function Domain Recognition Exercises
  360.    wt: 2:   7 Functions with finite domains
  361.    wt: 2:   6 Set Existence Formation and Notation
  362.    wt: 2:   5 Function notation for geometric transformations
  363.    wt: 2:   3 Formula or function graphing exercise
  364.    wt: 2:   2 Algebraic use of function notation
  365.    wt: 2:   1 Geometric Introduction of Function Notation
  366.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  367.    wt: 2:   4 Polynomials Long division linear divisor
  368.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  369.    wt: 2:   13 Arrows and Vectors in a Plane
  370.    wt: 2:   8 Division and Mulplication of Compound Fractions
  371.    wt: 2:   E Long Division Methods more
  372.    wt: 2:   D Long Division Methods
  373.    wt: 2:   B Decimal Comparison and Subtraction
  374.    wt: 2:   2 Combing Counts Addition Skills and Principles
  375.    wt: 2:   4 Rates Ratios and Proporitionality
  376.    wt: 2:   2 Algebraic View
  377.    wt: 2:   6 Equations and Systems Equivalent or Implied
  378.    wt: 2:   2 Addition and Multiplication Axioms
  379.    wt: 2:   3 More and Less Than with Unlike Signs
  380.    wt: 2:   8 Coordinates for Maps and Planes
  381.    wt: 2:   5 Independent versus Dependent Variables
  382.    wt: 2:   4 Changing Letters
  383.    wt: 2:   2 Computation Rules Evaluation
  384.    wt: 2:   3 GE III Equation Addition and Multiplication
  385.    wt: 2:   4 Solving a triangular system exercise
  386.    wt: 2:   3 Solving triangular system example
  387.    wt: 2:   Skill Development Notes
  388.    wt: 2:   10 One Example
  389.    wt: 2:   9 Three Examples
  390.    wt: 2:   8 One Example
  391.    wt: 2:   7 Two Examples
  392.    wt: 2:   6 Three Examples
  393.    wt: 2:   5 Three Examples
  394.    wt: 2:   4 Two Examples
  395.    wt: 2:   3 Two Examples
  396.    wt: 2:   2 Three Examples
  397.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  398.    wt: 2:   8 Sets of Numbers
  399.    wt: 2:   3 Counting with Sets etc
  400.    wt: 2:   1 Finite Sets
  401.    wt: 2:   arithmetic videos Real Player Format
  402.    wt: 2:   4 Greater More Less Than Signs in General
  403.    wt: 2:   3 Comparison of Negative Numbers
  404.    wt: 2:   5 Square Roots with primes more still
  405.    wt: 2:   4 Square Roots with primes more
  406.    wt: 2:   3 Properties of Square Roots with example
  407.    wt: 2:   2 Square Roots with Prime
  408.    wt: 2:   13 GCD from given Prime Factorization
  409.    wt: 2:   8 GCD from Euclidean Algorithm
  410.    wt: 2:   6 GCD from Prime
  411.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  412.    wt: 2:   1 Least Common Multiples LCM Introduction
  413.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  414.    wt: 2:   4 Counting with Trees Product Rule Take I
  415.    wt: 2:   11 What are real lengths and numbers
  416.    wt: 2:   10 dividing signed numbers
  417.    wt: 2:   7 negative and additive inverse
  418.    wt: 2:   5 lengths and signs of numbers
  419.    wt: 2:   2 signed and unsigned numbers as coordinates
  420.    wt: 2:   7 Converting or Changing Units
  421.    wt: 2:   6 Simplification of Fractions with Units
  422.    wt: 2:   4 Fractions with Units
  423.    wt: 2:   D Three Term Ratios
  424.    wt: 2:   22 Complex Compound Fractions
  425.    wt: 2:   21 Working With Signs
  426.    wt: 2:   18 Efficient Ways to Multiply
  427.    wt: 2:   16 Addition Subtraction Comparision Compared
  428.    wt: 2:   12 Fraction Comparison
  429.    wt: 2:   8 Numerals Fractionals Quantals Take II
  430.    wt: 2:   7 Numerals Fractionals Quantals
  431.    wt: 2:   6 Multiplication of Mixed Numbers
  432.    wt: 2:   6 Multiplication Algebraically Take II
  433.    wt: 2:   5 Equivalent Fractions
  434.    wt: 2:   4 Fraction Multiplication
  435.    wt: 2:   3 Unit fraction of a fraction
  436.    wt: 2:   2 Unit Fraction Multiplication
  437.    wt: 2:   1 What is a fraction Take II
  438.    wt: 2:   1 What is a fraction
  439.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  440.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  441.    wt: 2:   B Integer Long Division Multiple Choices
  442.    wt: 2:   11 Adding Integers Formulas and Examples
  443.    wt: 2:   5 Zero Movement and Additive Inverses
  444.    wt: 2:   19 video Prime Factorization Unique
  445.    wt: 2:   18 video Count Factors given Prime Factorization
  446.    wt: 2:   17 Identify and Count Factors using Primes
  447.    wt: 2:   16 video Factors of 980 using prime
  448.    wt: 2:   15 video Factors of 20 using Prime Factorization
  449.    wt: 2:   14 video Factors of 24 Take II
  450.    wt: 2:   13 video Factors of 24 using prime
  451.    wt: 2:   12 LCD GCD and LCM using Primes
  452.    wt: 2:   10 video Prime Factorization upto 23 squared
  453.    wt: 2:   9 video Prime Factorization upto 19 squared
  454.    wt: 2:   8 video Prime Factorization upto 19
  455.    wt: 2:   7 Calculator Usage Notes and Cautions
  456.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  457.    wt: 2:   5 Prime Factorization and a Square Rule
  458.    wt: 2:   4 video Prime Factorization Introduction
  459.    wt: 2:   2 Prime and Composites less than 16
  460.    wt: 2:   1 video how Products are bigger than factor
  461.    wt: 2:   8 Correcting the Mistake
  462.    wt: 2:   1 Divsion Physical Examples
  463.    wt: 2:   4 Two and Three Digit Multipliers
  464.    wt: 2:   Video Power Notation in Decimal Expansion
  465.    wt: 2:   1 Why 3 times 5 gives 15
  466.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  467.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  468.    wt: 2:   Subtraction with J Conversions Example
  469.    wt: 2:   8 Subtraction with Units of Measure
  470.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  471.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  472.    wt: 2:   5 A Tip for Efficent Subtraction
  473.    wt: 2:   2 Subtraction Easy Case Examples
  474.    wt: 2:   7 Adding decimal fractions using decimal point
  475.    wt: 2:   5. How to add decimals C. Examples
  476.    wt: 2:   4. How to add with decimals B with conversions
  477.    wt: 2:   3. How to add with decimals A sans conversions
  478.    wt: 2:   2 Decimal Counting Practices
  479.    wt: 2:   1. Explaining Addition Table
  480.    wt: 2:   11 Place Value SI Standard International way
  481.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  482.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  483.    wt: 2:   Quick history of numbers and algebra
  484.    wt: 2:   Exact Arithmetic Wholes and Fractions
  485.    wt: 2:   The 12 Times Table Visually
  486.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  487.    wt: 2:   Example 2 volume of a cone
  488.    wt: 2:   Example 1 volume of a pyramid
  489.    wt: 2:   Volume of Solid by Cross Sections Lesson
  490.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  491.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  492.    wt: 2:   Example 3
  493.    wt: 2:   Example 2
  494.    wt: 2:   Example 1
  495.    wt: 2:   Area Between Curves Lesson Take 2
  496.    wt: 2:   Area Between Curves Lesson Take 1
  497.    wt: 2:   Summary
  498.    wt: 2:   38 Formulas and derivatives for powers and roots
  499.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  500.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  501.    wt: 2:   9 Limits Continuity and Composition
  502.    wt: 2:   5 Jumps and absence of unlimited error control
  503.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  504.    wt: 2:   Chapter 23 Links To Trigonometry
  505.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  506.    wt: 2:   Chapter 12. Units and Slopes
  507.    wt: 2:   Chapter 10 Slopes and Units
  508.    wt: 2:   Chapter 7 Slopes and Velocity
  509.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  510.    wt: 2:   Chapter 2. Slopes and Ski Trails
  511.    wt: 2:   Appendix E. How To Study Mathematics and Why
  512.    wt: 2:   Appendix D. What to do in School and Why
  513.    wt: 2:   Chapter 11. Why Shorthand
  514.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  515.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  516.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  517.    wt: 2:   R Why Learn Mathematics Skills
  518.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  519.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  520.    wt: 2:   O On Learning Mathematics and Science
  521.    wt: 2:   J. More on written work and showing skill
  522.    wt: 2:   I. Logic and language skills
  523.    wt: 2:   H more Routine to non routine problem solving
  524.    wt: 2:   G. Written work formats for developing and showing skill
  525.    wt: 2:   E. When and how to correct errors
  526.    wt: 2:   How to Build Skills and Confidence
  527.    wt: 2:   Chapter 8 Skipped Topics and Why
  528.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  529.    wt: 2:   Chapter 2 Why Sets
  530.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  531.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  532.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  533.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  534.    wt: 2:   More Algebra and Slope based Calculus Preview
  535.    wt: 1:   Appendix 1 primary and preschool mathematic
  536.    wt: 1:   G LAMP Introduction Problem Solving Skills
  537.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  538.    wt: 1:   9 combinatorics probability sets
  539.    wt: 1:   5 logarithms and exponentials etc
  540.    wt: 1:   why bother
  541.    wt: 1:   website reviews
  542.    wt: 1:   activities for students
  543.    wt: 1:   About site lesson plans
  544.    wt: 1:   key notes and themes
  545.    wt: 1:   what should be learnt and When
  546.    wt: 1:   standards for course material
  547.    wt: 1:   Operational Viewpoint to Value
  548.    wt: 1:   formal or informal peer review
  549.    wt: 1:   Education in mathematics science and technology
  550.    wt: 1:   Motivation and Context Problem
  551.    wt: 1:   fairness and inductive principles for instruction
  552.    wt: 1:   chapitre 12 00 les iles et division
  553.    wt: 1:   deux definitions pour variable
  554.    wt: 1:   Home Tutoring and Home Schooling
  555.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  556.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  557.    wt: 1:   24 Standards For Skill Develoment Take II
  558.    wt: 1:   24 Standards For Skill Develoment
  559.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  560.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  561.    wt: 1:   17 Math Booklets for children and young teenagers
  562.    wt: 1:   14 Multiplication and Times Tables
  563.    wt: 1:   13 Addition and Addition Tables
  564.    wt: 1:   12 Goals and Objectives For Mathematics
  565.    wt: 1:   11 Help and Defend Your Child or Teens Education
  566.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  567.    wt: 1:   5 Patience Please for Yourself and Your Charges
  568.    wt: 1:   4 Learning Takes Time and Effort
  569.    wt: 1:   2 Reading and Writing Skills
  570.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  571.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  572.    wt: 1:   20 Interchanging coordinates a reflection
  573.    wt: 1:   16 Increasing or decreasing on intervals
  574.    wt: 1:   14 Surjections Injections Bijections
  575.    wt: 1:   13 From one to one to many to one
  576.    wt: 1:   10 Interval Notation
  577.    wt: 1:   9 Set theory term relation possible origins
  578.    wt: 1:   Introduction Reading Guide
  579.    wt: 1:   9 quadratics physical and further context
  580.    wt: 1:   11 Growth and Decay in Biology
  581.    wt: 1:   10 Exponential Growth and Decay Models
  582.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  583.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  584.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  585.    wt: 1:   Rewriting algebraic substitution as function substitutions
  586.    wt: 1:   A Modular and Remainder Arithmetic
  587.    wt: 1:   A Signed Number Arithmetic Review
  588.    wt: 1:   19 Signed Multiples of Vectors
  589.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  590.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  591.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  592.    wt: 1:   11 Signed Number Addition and Addition Properties
  593.    wt: 1:   9 Division with Digits after Decimal Point
  594.    wt: 1:   C Three Decimal Subtraction Methods
  595.    wt: 1:   A Decimal Addition Columm Methods
  596.    wt: 1:   8 Column Multiplication Methods in General
  597.    wt: 1:   7 Decimals Multiplication Methods Examples
  598.    wt: 1:   6 Column Methods for Decimal Multiplication
  599.    wt: 1:   5 Distributive Law for Whole Numbers
  600.    wt: 1:   4 Commutative Law Groups Counting Form
  601.    wt: 1:   3 Multiplicative Counting Skills Principles
  602.    wt: 1:   1 The Counting Origins of Numbers
  603.    wt: 1:   5 Areas of Rectangles Revisited
  604.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  605.    wt: 1:   5 Proportionality in Equivalent Fractions
  606.    wt: 1:   3 Proportionality Examples
  607.    wt: 1:   1 What is Proportionality
  608.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  609.    wt: 1:   6 Compound Interest Forward and Backwards
  610.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  611.    wt: 1:   5 Equality in Algebra
  612.    wt: 1:   3 Product Axioms Two Forms
  613.    wt: 1:   1 Equivalent Computation Rules
  614.    wt: 1:   5 Greater More Less Than Signs in General
  615.    wt: 1:   4 Comparison of Negative Numbers
  616.    wt: 1:   1 Real Numbers Comparison
  617.    wt: 1:   15 Real Number Division
  618.    wt: 1:   10 Real Number Lengths and Signs
  619.    wt: 1:   1 Whole and Natural Numbers
  620.    wt: 1:   More Exercises
  621.    wt: 1:   Simple Exercises
  622.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  623.    wt: 1:   4 GE III Animated Examples
  624.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  625.    wt: 1:   2 GE II Comparison
  626.    wt: 1:   1 GE Substitution four examples
  627.    wt: 1:   2 Essentially one exercises three with solution
  628.    wt: 1:   1 Essentially One Unknown
  629.    wt: 1:   6 Algebraic Solution Example
  630.    wt: 1:   5 Algebraic Solutions Introduction
  631.    wt: 1:   4 Four Examples Fractional Coefficients
  632.    wt: 1:   3 Four Examples
  633.    wt: 1:   2 Three Examples
  634.    wt: 1:   1 Proper Equal Sign Usage
  635.    wt: 1:   Using Letters for Physical Quantities
  636.    wt: 1:   Formula Usage Show Work Format
  637.    wt: 1:   1 Written work formats for developing and showing skill
  638.    wt: 1:   7 Cautious or Safe Set Construction
  639.    wt: 1:   6 Power Set Notation
  640.    wt: 1:   5 Product Builder Notation
  641.    wt: 1:   4 Subset Builder Notation
  642.    wt: 1:   2 Venn Diagrams
  643.    wt: 1:   5 Talking about Numbers and Quantities
  644.    wt: 1:   4 A Brief Story of numbers and algebra
  645.    wt: 1:   9 subtracting signed numbers
  646.    wt: 1:   8 multiplying signed numbers
  647.    wt: 1:   6 adding signed numbers
  648.    wt: 1:   4 signed coordinates for regions in space
  649.    wt: 1:   D Remainders Modulo 11 Pair Rule
  650.    wt: 1:   A Associative Law Theorectical Note
  651.    wt: 1:   13 Subtraction with Additive Inverse
  652.    wt: 1:   12 Adding Integers More Examples
  653.    wt: 1:   10 Integer Multiplication Formulas
  654.    wt: 1:   9 Multiplying Integers
  655.    wt: 1:   8 Multiplication by Signed Numbers Integers
  656.    wt: 1:   7 Multiplication by Signs
  657.    wt: 1:   6 Multiplication by Natural Numbers
  658.    wt: 1:   4 Adding Movements wiht opposite directions
  659.    wt: 1:   3 Adding Movements with same direction
  660.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  661.    wt: 1:   1 Integers as Coordinates
  662.    wt: 1:   20 Uniqueness of Prime Factorization
  663.    wt: 1:   11 Efficient Square Rule Use
  664.    wt: 1:   D Decimal Multiplication Methods Derived
  665.    wt: 1:   C Counting Areas with Powers of Ten
  666.    wt: 1:   B Powers of Ten
  667.    wt: 1:   A Elementary Basis for Multiplication Methods
  668.    wt: 1:   6 Multiplication Commutes Order Not Important
  669.    wt: 1:   5 Decimal Fraction Multiplication
  670.    wt: 1:   3 More One Digit Multipliers
  671.    wt: 1:   2 One Digit Multipliers
  672.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  673.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  674.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  675.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  676.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  677.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  678.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  679.    wt: 1:   Formula Evaluation how to show work
  680.    wt: 1:   Expression Evaluation how to show work
  681.    wt: 1:   The 20 Times Table
  682.    wt: 1:   About folder contents
  683.    wt: 1:   015 School and work day counting tables
  684.    wt: 1:   012 Division of Time Intervals by Time Intervals
  685.    wt: 1:   011 Division of Time Intervals By Numbers
  686.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  687.    wt: 1:   8 Addition of Time Intervals via subtotaling
  688.    wt: 1:   4 Mixing and Changing Units of Time
  689.    wt: 1:   3 Units and Lengths of Time
  690.    wt: 1:   2 Time and Date Matters in School
  691.    wt: 1:   A Chain Rule Real Player video examples
  692.    wt: 1:   34 Derivative of exponential function
  693.    wt: 1:   33 Chain Rule Real Player video examples
  694.    wt: 1:   31 Derivatives of inverse functions
  695.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  696.    wt: 1:   26 Chain Rule Recognising outer inner functions
  697.    wt: 1:   19 Chain Rule for linear functions
  698.    wt: 1:   17 Derivatives of quotients of sine and cosine
  699.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  700.    wt: 1:   15 sine and cosine derivatives 3rd step
  701.    wt: 1:   14 sine and cosine derivatives 2nd step
  702.    wt: 1:   13 sine and cosine derivatives 1st step
  703.    wt: 1:   3 Motivation for Limit Definition Take 2
  704.    wt: 1:   2 Motivation for Limit Definition Take 1
  705.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  706.    wt: 1:   11 Limits at infinity Three Examples
  707.    wt: 1:   10 Three one sided limits with infinite values
  708.    wt: 1:   8 Four Animated Examples
  709.    wt: 1:   7 Evaluation by immediate or delayed substitution
  710.    wt: 1:   6 Continuity at a point
  711.    wt: 1:   4 Numerical properties
  712.    wt: 1:   3 Decimal insights for limits continuity convergence
  713.    wt: 1:   2 Algebraic codification
  714.    wt: 1:   1 Numerical introduction
  715.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  716.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  717.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  718.    wt: 1:   F.1 What Functions are Continuous
  719.    wt: 1:   PostScript For and Against Decimal Perspectives
  720.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  721.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  722.    wt: 1:   Chapter 22 Complex Numbers
  723.    wt: 1:   Chapter 21 Arrow Addition
  724.    wt: 1:   Chapter 18. Slopes Areas Integration
  725.    wt: 1:   Chapter 17. Area Approximation
  726.    wt: 1:   Chapter 16. Velocity Approximation
  727.    wt: 1:   Chapter 15. Slope Approximation
  728.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  729.    wt: 1:   Chapter 13. Acceleration
  730.    wt: 1:   Chapter 11. Graphing Slope versus Position
  731.    wt: 1:   Chapter 9 About First Courses in Calculus
  732.    wt: 1:   Chapter 8. Slope Interpretation
  733.    wt: 1:   Chapter 5. Slope Sign Tests
  734.    wt: 1:   Chapter 4. More Slope Sign Analysis
  735.    wt: 1:   Chapter 3. Slope Sign Analysis
  736.    wt: 1:   Chapter 1.Introduction
  737.    wt: 1:   Fall 1983 Calculus Appetizer
  738.    wt: 1:   Foreword
  739.    wt: 1:   Chapter 31 Direct and Indirect Reason
  740.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  741.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  742.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  743.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  744.    wt: 1:   Chapter 20. Degrees and Radians
  745.    wt: 1:   Chapter 16. Painless Theorem Proving
  746.    wt: 1:   Chapter 15. Solving Linear Equations
  747.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  748.    wt: 1:   Chapter 12. Shorthand Usage Guide
  749.    wt: 1:   Chapter 10 Describing and Changing Calculations
  750.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  751.    wt: 1:   Chapter 2 For and Against Mathematics
  752.    wt: 1:   Postscript B More on Story Telling and Reason
  753.    wt: 1:   Chapter 24 Direct and Indirect Reason
  754.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  755.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  756.    wt: 1:   Chapter 18 Sense and Knowledge
  757.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  758.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  759.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  760.    wt: 1:   S Adding words to algebra
  761.    wt: 1:   N Mathematics Prepare for College Studies
  762.    wt: 1:   M Words to extend arithmetic
  763.    wt: 1:   L Skills with take home value
  764.    wt: 1:   F. The student teacher tutor feedback loop
  765.    wt: 1:   D. Check work a must with a caution
  766.    wt: 1:   C. Domino effect of being careful
  767.    wt: 1:   B. Domino effect of errors
  768.    wt: 1:   A. Skill has to be seen to believed
  769.    wt: 1:   Chapter 6 More Algebra and Geometry
  770.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  771.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  772.    wt: 1:   Helping the Blind in Logic and Mathematics
  773.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  774.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  775.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  776.    wt: 1:   The Math Forum and Site Content
  777.    wt: 1:   Site Reviews
  778.    wt: 11:   3 Lengths and Areas on Maps and Plans
  779.    wt: 10:   Why Trigonometry the whyslopes view
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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