Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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.

Location: Site Entrance << Search

[1] [2] [3]

Key Word Search

Folder Search

44 matches:

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

Web Page Search

405 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   11 Signed Number Addition and Addition Properties
  3.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 4:   1 Addition and Subtraction with Units
  5.    wt: 4:   6. Counting and adding units and mixed units
  6.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  7.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 3:   13 Addition and Addition Tables
  9.    wt: 3:   2 Combing Counts Addition Skills and Principles
  10.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  11.    wt: 3:   6 Simplification of Fractions with Units
  12.    wt: 3:   4 Fractions with Units
  13.    wt: 3:   3 Multiplying Units and Numbers
  14.    wt: 3:   B Fractions and Two Term Ratios
  15.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  16.    wt: 3:   9 Improper Fractions and Mixed Numbers
  17.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  18.    wt: 2:   Ramblings Extrinsic numbers theory
  19.    wt: 2:   2 arithmetic with signed numbers
  20.    wt: 2:   1 arithmetic with unsigned numbers
  21.    wt: 2:   2 Reading and Writing Skills
  22.    wt: 2:   Ages 12 to 14 Skills with take home value
  23.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  24.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  25.    wt: 2:   Vector and Complex Number Applet
  26.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  27.    wt: 2:   14 cosine even and sine and tangent are odd
  28.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  29.    wt: 2:   3 Trigonometric Ratios sine and cosine
  30.    wt: 2:   5 Cartesian Addition and Translation
  31.    wt: 2:   PS D Addition with Cartesian Coordinates
  32.    wt: 2:   3 Lengths and Areas on Maps and Plans
  33.    wt: 2:   8 Division and Mulplication of Compound Fractions
  34.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  35.    wt: 2:   1 Fractions with Finite Decimal Expansions
  36.    wt: 2:   4 Rates Ratios and Proporitionality
  37.    wt: 2:   2 Addition and Multiplication Axioms
  38.    wt: 2:   3 More and Less Than with Unlike Signs
  39.    wt: 2:   2 More and Less Than for Counts and Measures
  40.    wt: 2:   11 Real Number Addition
  41.    wt: 2:   10 Real Number Lengths and Signs
  42.    wt: 2:   1 Whole and Natural Numbers
  43.    wt: 2:   3 GE III Equation Addition and Multiplication
  44.    wt: 2:   5 Talking about Numbers and Quantities
  45.    wt: 2:   4 A Brief Story of numbers and algebra
  46.    wt: 2:   2 More and Less Than with Unlike Signs
  47.    wt: 2:   1 More and Less Than for Counts and Measures
  48.    wt: 2:   3 Counting with Tables and Trees II
  49.    wt: 2:   2 Counting with Tables and Trees I
  50.    wt: 2:   11 What are real lengths and numbers
  51.    wt: 2:   5 lengths and signs of numbers
  52.    wt: 2:   2 signed and unsigned numbers as coordinates
  53.    wt: 2:   2 Equality and Units
  54.    wt: 2:   21 Reciprocals for Fractions and Wholes
  55.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  56.    wt: 2:   14 Adding and Subtracting with Like Denominators
  57.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  58.    wt: 2:   Division with Counts and Length
  59.    wt: 2:   8 Subtraction with Units of Measure
  60.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  61.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  62.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  63.    wt: 2:   8 What skills and work habits to require
  64.    wt: 2:   4. How to add with decimals B with conversions
  65.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  66.    wt: 2:   Quick history of numbers and algebra
  67.    wt: 2:   Exact Arithmetic Wholes and Fractions
  68.    wt: 2:   4 Mixing and Changing Units of Time
  69.    wt: 2:   3 Units and Lengths of Time
  70.    wt: 2:   38 Formulas and derivatives for powers and roots
  71.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  72.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  73.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  74.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  75.    wt: 2:   Chapter 12. Units and Slopes
  76.    wt: 2:   Chapter 10 Slopes and Units
  77.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  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 12 Islands and Divisions of Knowledge
  81.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  82.    wt: 2:   L Skills with take home value
  83.    wt: 2:   I. Logic and language skills
  84.    wt: 2:   How to Build Skills and Confidence
  85.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  86.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  87.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  88.    wt: 1:   Appendix 1 primary and preschool mathematic
  89.    wt: 1:   G LAMP Introduction Problem Solving Skills
  90.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  91.    wt: 1:   Skills Chapter 5 Calculus
  92.    wt: 1:   Skills Chapter 4 Logic
  93.    wt: 1:   Skills Chapter 3 Algebra
  94.    wt: 1:   Skills Chapter 2 Geometry
  95.    wt: 1:   Skills Chapter 1 Arithmetic
  96.    wt: 1:   Skills Chapter 0 Introduction
  97.    wt: 1:   7 logic review and decimals an odd combination
  98.    wt: 1:   5 logarithms and exponentials etc
  99.    wt: 1:   key notes and themes
  100.    wt: 1:   what should be learnt and When
  101.    wt: 1:   the trouble with algebra
  102.    wt: 1:   standards for course material
  103.    wt: 1:   Theory of Knowledge
  104.    wt: 1:   Education in mathematics science and technology
  105.    wt: 1:   Motivation and Context Problem
  106.    wt: 1:   fairness and inductive principles for instruction
  107.    wt: 1:   Home Tutoring and Home Schooling
  108.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  109.    wt: 1:   24 Standards For Skill Develoment Take II
  110.    wt: 1:   24 Standards For Skill Develoment
  111.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  112.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  113.    wt: 1:   17 Math Booklets for children and young teenagers
  114.    wt: 1:   14 Multiplication and Times Tables
  115.    wt: 1:   12 Goals and Objectives For Mathematics
  116.    wt: 1:   11 Help and Defend Your Child or Teens Education
  117.    wt: 1:   5 Patience Please for Yourself and Your Charges
  118.    wt: 1:   4 Learning Takes Time and Effort
  119.    wt: 1:   1 Speaking Skills
  120.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  121.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  122.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  123.    wt: 1:   26 Function definitions done and coming
  124.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  125.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  126.    wt: 1:   19 Horizontal line rule and method
  127.    wt: 1:   18 Vertical Line Rule and Method
  128.    wt: 1:   17 Function maxima minima and their location
  129.    wt: 1:   11 Function Domain Range Source and Targets
  130.    wt: 1:   9 Set theory term relation possible origins
  131.    wt: 1:   8 Set view of relations and functions
  132.    wt: 1:   7 Functions with finite domains
  133.    wt: 1:   6 Set Existence Formation and Notation
  134.    wt: 1:   4 Function notation in and beyond mathematics
  135.    wt: 1:   9 quadratics physical and further context
  136.    wt: 1:   11 Growth and Decay in Biology
  137.    wt: 1:   10 Exponential Growth and Decay Models
  138.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  139.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  140.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  141.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  142.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  143.    wt: 1:   3 Polynomials Multiplication Addition
  144.    wt: 1:   16 cotangent function Definition Graph and Inverse
  145.    wt: 1:   15 cosecant function Definition Graph and Inverse
  146.    wt: 1:   14 secant function Definition Graph and Inverse
  147.    wt: 1:   13 cosecant function Definition Graph and Inverse
  148.    wt: 1:   9 Summary Degrees to Radians and back
  149.    wt: 1:   1 Degrees and Radians Introduction
  150.    wt: 1:   A Global Time and Navigation
  151.    wt: 1:   15 Dot and Cross Product
  152.    wt: 1:   10 Parallelogram Addition Method
  153.    wt: 1:   6 Vectors with Coordinates
  154.    wt: 1:   5 Head To Tail Arrow Addition
  155.    wt: 1:   3 Navigation with Arrows or Vectors
  156.    wt: 1:   Parallel Lines and Parallel Transversals
  157.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  158.    wt: 1:   Parallel Lines and Interior Angles
  159.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  160.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  161.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  162.    wt: 1:   29 secant cosecant and cotangent for acute angles
  163.    wt: 1:   27 Logarithmic use of products of sines and cosines
  164.    wt: 1:   26 Formulas for products of sines and cosines
  165.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  166.    wt: 1:   21 sine and cosine Half Angle Formulas
  167.    wt: 1:   20 sine and cosine Double Angle Formulas
  168.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  169.    wt: 1:   17E Trig Formulas for dot and cross Products
  170.    wt: 1:   17D cis formulas for sine cosines and tangent
  171.    wt: 1:   17C sine and cosine double triple angle formulas
  172.    wt: 1:   17A The complex number valued trig function cis
  173.    wt: 1:   10 Graphs of sines and cosines many periods
  174.    wt: 1:   9 Graphs of sine and cosine over one period
  175.    wt: 1:   7 period of sine and cosine
  176.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  177.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  178.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  179.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  180.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  181.    wt: 1:   21 Logarithms Powers and Exponentials
  182.    wt: 1:   20 N th Roots of Complex Numbers
  183.    wt: 1:   16 References and Originality Question
  184.    wt: 1:   13 Trig Formulas for dot and cross Products
  185.    wt: 1:   12 cis formulas for sine cosines and tangent
  186.    wt: 1:   11 sine and cosine double triple angle formulas
  187.    wt: 1:   9 The complex number valued trig function cis
  188.    wt: 1:   6 Field Properties of Complex Number
  189.    wt: 1:   3 Addition Properties
  190.    wt: 1:   2 Complex Numbers made easier we hope
  191.    wt: 1:   Appetizer A Complex Number Applet
  192.    wt: 1:   7 Trignometric Ratios Unit Circle
  193.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  194.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  195.    wt: 1:   1 Angle Measurement with Degrees
  196.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  197.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  198.    wt: 1:   8 Similarity of Triangles and Polygons
  199.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  200.    wt: 1:   4 Similarity Definition with Coordinate
  201.    wt: 1:   3 Similarity by Design with coordinates
  202.    wt: 1:   10 Midpoint of [a b] and [b a]
  203.    wt: 1:   7 Exercises to test skill and concept mastery
  204.    wt: 1:   1 Numerical view of lines and their equations
  205.    wt: 1:   What is and is not here
  206.    wt: 1:   7 Complex Numbers Appetizer
  207.    wt: 1:   6 Polar Multiplication and Rotation
  208.    wt: 1:   4 Polar Coordinates to and from
  209.    wt: 1:   2 Cartesian Coordinates with signs
  210.    wt: 1:   PS H Distributive Law For Complex Numbers
  211.    wt: 1:   PS G Rotation Distributes over Addition
  212.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  213.    wt: 1:   PS E Multiplication with Polar Coordinates
  214.    wt: 1:   16 Angles Subtended By Chords and Diameters
  215.    wt: 1:   6 Ruler and compass Angle Bisection
  216.    wt: 1:   1 Initial Concepts and Terms
  217.    wt: 1:   A Measurement with Ruler Proper Use
  218.    wt: 1:   6 Figuring with Maps Not to Scale
  219.    wt: 1:   musings do not puiblish real numbers
  220.    wt: 1:   A Modular and Remainder Arithmetic
  221.    wt: 1:   A Signed Number Arithmetic Review
  222.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  223.    wt: 1:   22 Multiplication of Signed Numbers
  224.    wt: 1:   21 Addition of Multiples of a Single Vector
  225.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  226.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  227.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  228.    wt: 1:   15 Head to Tails in place Addition Associative
  229.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  230.    wt: 1:   13 Arrows and Vectors in a Plane
  231.    wt: 1:   12 Real Numbers Line Signed Coordinates
  232.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  233.    wt: 1:   9 Division with Digits after Decimal Point
  234.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  235.    wt: 1:   4 Location of Point in Decimal Addition
  236.    wt: 1:   B Decimal Comparison and Subtraction
  237.    wt: 1:   A Decimal Addition Columm Methods
  238.    wt: 1:   5 Distributive Law for Whole Numbers
  239.    wt: 1:   3 Multiplicative Counting Skills Principles
  240.    wt: 1:   1 The Counting Origins of Numbers
  241.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  242.    wt: 1:   5 Proportionality in Equivalent Fractions
  243.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  244.    wt: 1:   6 Compound Interest Forward and Backwards
  245.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  246.    wt: 1:   6 Equations and Systems Equivalent or Implied
  247.    wt: 1:   4 Subtraction and Division Axioms
  248.    wt: 1:   4 Comparison of Negative Numbers
  249.    wt: 1:   1 Real Numbers Comparison
  250.    wt: 1:   16 Real Numbers Comparison
  251.    wt: 1:   15 Real Number Division
  252.    wt: 1:   14 Real Number Multiplication
  253.    wt: 1:   13 Real Number Subtraction
  254.    wt: 1:   12 Real Number Additive Inverses or Negatives
  255.    wt: 1:   8 Coordinates for Maps and Planes
  256.    wt: 1:   7 Real Numbers as Line Cordinates
  257.    wt: 1:   6 Unsigned Real Numbers
  258.    wt: 1:   5 Rational Numbers More
  259.    wt: 1:   4 Rational Numbers
  260.    wt: 1:   3 Fractions
  261.    wt: 1:   3 Geometric Formulas and Function Notation
  262.    wt: 1:   1 Formulas Dependence and Function Notation
  263.    wt: 1:   2 Essentially one exercises three with solution
  264.    wt: 1:   13 Naming Identifying Formulas with Words
  265.    wt: 1:   1 Written work formats for developing and showing skill
  266.    wt: 1:   9 Sets in Probability and Statistics
  267.    wt: 1:   8 Sets of Numbers
  268.    wt: 1:   3 Counting with Sets etc
  269.    wt: 1:   1 Three Skills For Algebra
  270.    wt: 1:   3 Comparison of Negative Numbers
  271.    wt: 1:   5 Square Roots with primes more still
  272.    wt: 1:   4 Square Roots with primes more
  273.    wt: 1:   3 Properties of Square Roots with example
  274.    wt: 1:   2 Square Roots with Prime
  275.    wt: 1:   1 Squares and Square Roots Introduction
  276.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  277.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  278.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  279.    wt: 1:   7 GCD and LCM from prime factorization
  280.    wt: 1:   4 LCM of 8 and 10 via Prime
  281.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  282.    wt: 1:   4 Counting with Trees Product Rule Take I
  283.    wt: 1:   1 Counting and Counting Methods I
  284.    wt: 1:   10 dividing signed numbers
  285.    wt: 1:   9 subtracting signed numbers
  286.    wt: 1:   8 multiplying signed numbers
  287.    wt: 1:   7 negative and additive inverse
  288.    wt: 1:   6 adding signed numbers
  289.    wt: 1:   3 signed coordinates for maps and planes
  290.    wt: 1:   7 Converting or Changing Units
  291.    wt: 1:   D Three Term Ratios
  292.    wt: 1:   22 Complex Compound Fractions
  293.    wt: 1:   21 Working With Signs
  294.    wt: 1:   20 Dividing Fractions the Why
  295.    wt: 1:   19 Dividing Fractions How TO
  296.    wt: 1:   17 Efficient Ways to Add and Subtract
  297.    wt: 1:   16 Addition Subtraction Comparision Compared
  298.    wt: 1:   5 Equivalent Fractions
  299.    wt: 1:   13 Subtraction with Additive Inverse
  300.    wt: 1:   11 Adding Integers Formulas and Examples
  301.    wt: 1:   8 Multiplication by Signed Numbers Integers
  302.    wt: 1:   6 Multiplication by Natural Numbers
  303.    wt: 1:   5 Zero Movement and Additive Inverses
  304.    wt: 1:   3 Adding Movements with same direction
  305.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  306.    wt: 1:   17 Identify and Count Factors using Primes
  307.    wt: 1:   12 LCD GCD and LCM using Primes
  308.    wt: 1:   7 Calculator Usage Notes and Cautions
  309.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  310.    wt: 1:   5 Prime Factorization and a Square Rule
  311.    wt: 1:   3 video Primes and Composites from 9 times table
  312.    wt: 1:   2 Prime and Composites less than 16
  313.    wt: 1:   Long Division forwards and backwards Example 3
  314.    wt: 1:   Long Division forwards and backwards Example 2
  315.    wt: 1:   Long Division forwards and backwards Example 1
  316.    wt: 1:   10 Division by Five Long and Short Ways
  317.    wt: 1:   4 Division with 2 Digit Divsors
  318.    wt: 1:   2 Division with Single Digit Divisors
  319.    wt: 1:   C Counting Areas with Powers of Ten
  320.    wt: 1:   4 Two and Three Digit Multipliers
  321.    wt: 1:   Subtraction with J Conversions Example
  322.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  323.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  324.    wt: 1:   7 Adding decimal fractions using decimal point
  325.    wt: 1:   3. How to add with decimals A sans conversions
  326.    wt: 1:   1. Explaining Addition Table
  327.    wt: 1:   11 Place Value SI Standard International way
  328.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  329.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  330.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  331.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  332.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  333.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  334.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  335.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  336.    wt: 1:   016 Numbering Occidental Calendar Days
  337.    wt: 1:   015 School and work day counting tables
  338.    wt: 1:   014 Counting Days with Calendars
  339.    wt: 1:   011 Division of Time Intervals By Numbers
  340.    wt: 1:   010 Repeated Addition of Time Intervals
  341.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  342.    wt: 1:   8 Addition of Time Intervals via subtotaling
  343.    wt: 1:   7 Addition of Time Intervals
  344.    wt: 1:   2 Time and Date Matters in School
  345.    wt: 1:   1 Intro of Kids To Time Date Skills
  346.    wt: 1:   Example 1. Area Between x and x squared
  347.    wt: 1:   Example 4 with x function of y
  348.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  349.    wt: 1:   17 Derivatives of quotients of sine and cosine
  350.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  351.    wt: 1:   15 sine and cosine derivatives 3rd step
  352.    wt: 1:   14 sine and cosine derivatives 2nd step
  353.    wt: 1:   13 sine and cosine derivatives 1st step
  354.    wt: 1:   10 Three one sided limits with infinite values
  355.    wt: 1:   9 Limits Continuity and Composition
  356.    wt: 1:   5 Jumps and absence of unlimited error control
  357.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  358.    wt: 1:   G.5 Motions With Bounded Velocities
  359.    wt: 1:   PostScript For and Against Decimal Perspectives
  360.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  361.    wt: 1:   Chapter 22 Complex Numbers
  362.    wt: 1:   Chapter 21 Arrow Addition
  363.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  364.    wt: 1:   Chapter 7 Slopes and Velocity
  365.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  366.    wt: 1:   Chapter 2. Slopes and Ski Trails
  367.    wt: 1:   Appendix E. How To Study Mathematics and Why
  368.    wt: 1:   Appendix D. What to do in School and Why
  369.    wt: 1:   Chapter 31 Direct and Indirect Reason
  370.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  371.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  372.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  373.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  374.    wt: 1:   Chapter 20. Degrees and Radians
  375.    wt: 1:   Chapter 19. Functions and Sets
  376.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  377.    wt: 1:   Chapter 12. Shorthand Usage Guide
  378.    wt: 1:   Chapter 11. Why Shorthand
  379.    wt: 1:   Chapter 10 Describing and Changing Calculations
  380.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  381.    wt: 1:   Chapter 8 Three Skills For Algebra
  382.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  383.    wt: 1:   Chapter 2 For and Against Mathematics
  384.    wt: 1:   Postscript B More on Story Telling and Reason
  385.    wt: 1:   Chapter 24 Direct and Indirect Reason
  386.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  387.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  388.    wt: 1:   Chapter 18 Sense and Knowledge
  389.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  390.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  391.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  392.    wt: 1:   R Why Learn Mathematics Skills
  393.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  394.    wt: 1:   O On Learning Mathematics and Science
  395.    wt: 1:   N Improving Marks on Tests and Finals
  396.    wt: 1:   J. More on written work and showing skill
  397.    wt: 1:   H Jigsaw puzzles and problem solving
  398.    wt: 1:   G. Written work formats for developing and showing skill
  399.    wt: 1:   E. When and how to correct errors
  400.    wt: 1:   D. Check work a must with a caution
  401.    wt: 1:   Helping the Blind in Logic and Mathematics
  402.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  403.    wt: 1:   More Algebra and Slope based Calculus Preview
  404.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  405.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

725 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   1 More and Less Than for Counts and Measures
  3.    wt: 9:   10 Euclid Algorithm with 129 125 and with 45 14
  4.    wt: 9:   11 What are real lengths and numbers
  5.    wt: 9:   5 lengths and signs of numbers
  6.    wt: 9:   2 signed and unsigned numbers as coordinates
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   13 Fraction Comparison Algebraic View
  9.    wt: 9:   12 Fraction Comparison
  10.    wt: 9:   11 Simplification an Algebraic View
  11.    wt: 9:   8 Numerals Fractionals Quantals Take II
  12.    wt: 9:   7 Numerals Fractionals Quantals
  13.    wt: 9:   6 Multiplication Algebraically Take II
  14.    wt: 9:   4 Fraction Multiplication
  15.    wt: 9:   3 Unit fraction of a fraction
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   8 Subtraction with Units of Measure
  20.    wt: 9:   7 Subtraction for Decimal Fractions with Exercises
  21.    wt: 9:   4 Subtraction with Conversions Borrows and Letter J
  22.    wt: 9:   8 What skills and work habits to require
  23.    wt: 9:   4. How to add with decimals B with conversions
  24.    wt: 8:   3 Comparison of Negative Numbers
  25.    wt: 8:   3 Counting with Tables and Trees II
  26.    wt: 8:   2 Counting with Tables and Trees I
  27.    wt: 8:   10 dividing signed numbers
  28.    wt: 8:   9 subtracting signed numbers
  29.    wt: 8:   8 multiplying signed numbers
  30.    wt: 8:   7 negative and additive inverse
  31.    wt: 8:   6 adding signed numbers
  32.    wt: 8:   3 signed coordinates for maps and planes
  33.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  34.    wt: 8:   Division with Counts and Length
  35.    wt: 8:   Subtraction with J Conversions Example
  36.    wt: 8:   3 Harder Cases Convert to Compare and Subtract
  37.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  38.    wt: 8:   7 Adding decimal fractions using decimal point
  39.    wt: 8:   3. How to add with decimals A sans conversions
  40.    wt: 8:   1. Explaining Addition Table
  41.    wt: 7:   4 Greater More Less Than Signs in General
  42.    wt: 7:   5 Square Roots with primes more still
  43.    wt: 7:   4 Square Roots with primes more
  44.    wt: 7:   3 Properties of Square Roots with example
  45.    wt: 7:   2 Square Roots with Prime
  46.    wt: 7:   1 Squares and Square Roots Introduction
  47.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  48.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  49.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  50.    wt: 7:   7 GCD and LCM from prime factorization
  51.    wt: 7:   4 LCM of 8 and 10 via Prime
  52.    wt: 7:   5 Counting with Tables Trees Product Rule Take II
  53.    wt: 7:   4 Counting with Trees Product Rule Take I
  54.    wt: 7:   1 Counting and Counting Methods I
  55.    wt: 7:   4 signed coordinates for regions in space
  56.    wt: 7:   6 Multiplication by Natural Numbers
  57.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  58.    wt: 7:   17 Identify and Count Factors using Primes
  59.    wt: 7:   12 LCD GCD and LCM using Primes
  60.    wt: 7:   7 Calculator Usage Notes and Cautions
  61.    wt: 7:   5 Prime Factorization and a Square Rule
  62.    wt: 7:   3 video Primes and Composites from 9 times table
  63.    wt: 7:   2 Prime and Composites less than 16
  64.    wt: 7:   Long Division forwards and backwards Example 3
  65.    wt: 7:   Long Division forwards and backwards Example 2
  66.    wt: 7:   Long Division forwards and backwards Example 1
  67.    wt: 7:   10 Division by Five Long and Short Ways
  68.    wt: 7:   6 Why Decimal Long Division Methods Works Take I
  69.    wt: 7:   4 Division with 2 Digit Divsors
  70.    wt: 7:   2 Division with Single Digit Divisors
  71.    wt: 7:   C Counting Areas with Powers of Ten
  72.    wt: 7:   6 Multiplication Commutes Order Not Important
  73.    wt: 7:   4 Two and Three Digit Multipliers
  74.    wt: 7:   Appendix 2 Three Decimal Subtraction Methods
  75.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  76.    wt: 7:   Subtraction Another Video Lesson
  77.    wt: 7:   9 22 Minute Subtraction Review Video
  78.    wt: 7:   5 A Tip for Efficent Subtraction
  79.    wt: 7:   2 Subtraction Easy Case Examples
  80.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  81.    wt: 7:   5. How to add decimals C. Examples
  82.    wt: 7:   2 Decimal Counting Practices
  83.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  84.    wt: 7:   Quick history of numbers and algebra
  85.    wt: 7:   Exact Arithmetic Wholes and Fractions
  86.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  87.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  88.    wt: 6:   13 GCD from given Prime Factorization
  89.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  90.    wt: 6:   8 GCD from Euclidean Algorithm
  91.    wt: 6:   6 GCD from Prime
  92.    wt: 6:   5 Common Divisors 60 45 via Prime
  93.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  94.    wt: 6:   2 Least Common Multiple LCM intro via list method
  95.    wt: 6:   1 Least Common Multiples LCM Introduction
  96.    wt: 6:   12 GCD 2700 288 via Prime
  97.    wt: 6:   13 Subtraction with Additive Inverse
  98.    wt: 6:   11 Adding Integers Formulas and Examples
  99.    wt: 6:   8 Multiplication by Signed Numbers Integers
  100.    wt: 6:   5 Zero Movement and Additive Inverses
  101.    wt: 6:   3 Adding Movements with same direction
  102.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  103.    wt: 6:   26 Divisibility by 2 3 5 Example
  104.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  105.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  106.    wt: 6:   23 Remainder Arithmetic Modulo 2
  107.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  108.    wt: 6:   21 Remainder Arithmetic Modulo 3
  109.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  110.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  111.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  112.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  113.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  114.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  115.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  116.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  117.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  118.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  119.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  120.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  121.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  122.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  123.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  124.    wt: 6:   5 Remainder Arithmetic Modulo 5
  125.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  126.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  127.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  128.    wt: 6:   1 Remainder Arithmetic Modulo 10
  129.    wt: 6:   20 Uniqueness of Prime Factorization
  130.    wt: 6:   19 video Prime Factorization Unique
  131.    wt: 6:   18 video Count Factors given Prime Factorization
  132.    wt: 6:   16 video Factors of 980 using prime
  133.    wt: 6:   15 video Factors of 20 using Prime Factorization
  134.    wt: 6:   14 video Factors of 24 Take II
  135.    wt: 6:   13 video Factors of 24 using prime
  136.    wt: 6:   11 Efficient Square Rule Use
  137.    wt: 6:   10 video Prime Factorization upto 23 squared
  138.    wt: 6:   9 video Prime Factorization upto 19 squared
  139.    wt: 6:   8 video Prime Factorization upto 19
  140.    wt: 6:   4 video Prime Factorization Introduction
  141.    wt: 6:   1 video how Products are bigger than factor
  142.    wt: 6:   Long Division Backwards more
  143.    wt: 6:   Long Division Backward
  144.    wt: 6:   12 Why Long Division Works Take III
  145.    wt: 6:   11 Another Single Digit Divisor Example
  146.    wt: 6:   9 Why Long Division Works Take II
  147.    wt: 6:   8 Correcting the Mistake
  148.    wt: 6:   7 Long Divison Mistake Catching
  149.    wt: 6:   5 Long Division Include Zeroes or not
  150.    wt: 6:   3 Division Single Digit Divisor Example
  151.    wt: 6:   1 Divsion Physical Examples
  152.    wt: 6:   D Decimal Multiplication Methods Derived
  153.    wt: 6:   B Powers of Ten
  154.    wt: 6:   A Elementary Basis for Multiplication Methods
  155.    wt: 6:   5 Decimal Fraction Multiplication
  156.    wt: 6:   3 More One Digit Multipliers
  157.    wt: 6:   2 One Digit Multipliers
  158.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  159.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  160.    wt: 6:   Video Power Notation in Decimal Expansion
  161.    wt: 6:   1 Why 3 times 5 gives 15
  162.    wt: 6:   11 Place Value SI Standard International way
  163.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  164.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  165.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  166.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  167.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  168.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  169.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  170.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  171.    wt: 5:   11 Signed Number Addition and Addition Properties
  172.    wt: 5:   arithmetic videos Real Player Format
  173.    wt: 5:   D Remainders Modulo 11 Pair Rule
  174.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  175.    wt: 5:   B Integer Long Division Multiple Choices
  176.    wt: 5:   A Associative Law Theorectical Note
  177.    wt: 5:   12 Adding Integers More Examples
  178.    wt: 5:   10 Integer Multiplication Formulas
  179.    wt: 5:   9 Multiplying Integers
  180.    wt: 5:   7 Multiplication by Signs
  181.    wt: 5:   4 Adding Movements wiht opposite directions
  182.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  183.    wt: 5:   1 Integers as Coordinates
  184.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  185.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  186.    wt: 5:   Formula Evaluation how to show work
  187.    wt: 5:   Expression Evaluation how to show work
  188.    wt: 5:   The 20 Times Table
  189.    wt: 5:   The 12 Times Table Visually
  190.    wt: 5:   About folder contents
  191.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
  192.    wt: 4:   2 Combing Counts Addition Skills and Principles
  193.    wt: 4:   4 Mixing and Changing Units of Time
  194.    wt: 4:   3 Units and Lengths of Time
  195.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  196.    wt: 3:   13 Addition and Addition Tables
  197.    wt: 3:   Ages 12 to 14 Skills with take home value
  198.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  199.    wt: 3:   6 Field Properties of Complex Number
  200.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  201.    wt: 3:   3 Trigonometric Ratios sine and cosine
  202.    wt: 3:   6 Polar Multiplication and Rotation
  203.    wt: 3:   5 Cartesian Addition and Translation
  204.    wt: 3:   PS D Addition with Cartesian Coordinates
  205.    wt: 3:   6 Ruler and compass Angle Bisection
  206.    wt: 3:   8 Division and Mulplication of Compound Fractions
  207.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  208.    wt: 3:   1 Fractions with Finite Decimal Expansions
  209.    wt: 3:   4 Rates Ratios and Proporitionality
  210.    wt: 3:   2 Addition and Multiplication Axioms
  211.    wt: 3:   3 More and Less Than with Unlike Signs
  212.    wt: 3:   2 More and Less Than for Counts and Measures
  213.    wt: 3:   11 Real Number Addition
  214.    wt: 3:   10 Real Number Lengths and Signs
  215.    wt: 3:   1 Whole and Natural Numbers
  216.    wt: 3:   6 Three Examples
  217.    wt: 3:   016 Numbering Occidental Calendar Days
  218.    wt: 3:   015 School and work day counting tables
  219.    wt: 3:   014 Counting Days with Calendars
  220.    wt: 3:   011 Division of Time Intervals By Numbers
  221.    wt: 3:   010 Repeated Addition of Time Intervals
  222.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  223.    wt: 3:   8 Addition of Time Intervals via subtotaling
  224.    wt: 3:   7 Addition of Time Intervals
  225.    wt: 3:   2 Time and Date Matters in School
  226.    wt: 3:   1 Intro of Kids To Time Date Skills
  227.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  228.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  229.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  230.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  231.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  232.    wt: 3:   L Skills with take home value
  233.    wt: 3:   I. Logic and language skills
  234.    wt: 3:   How to Build Skills and Confidence
  235.    wt: 2:   Ramblings Extrinsic numbers theory
  236.    wt: 2:   2 arithmetic with signed numbers
  237.    wt: 2:   1 arithmetic with unsigned numbers
  238.    wt: 2:   2 Reading and Writing Skills
  239.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  240.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  241.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  242.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  243.    wt: 2:   9 Summary Degrees to Radians and back
  244.    wt: 2:   1 Degrees and Radians Introduction
  245.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  246.    wt: 2:   Vector and Complex Number Applet
  247.    wt: 2:   Parallel Lines and Parallel Transversals
  248.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  249.    wt: 2:   Parallel Lines and Interior Angles
  250.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  251.    wt: 2:   C Straight Lines Slope from Coordinates
  252.    wt: 2:   B Straight Line Slope Scaling Properties More
  253.    wt: 2:   A Straight Line Slope Scaling Properties
  254.    wt: 2:   14 Straight Lines Equations General Case
  255.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  256.    wt: 2:   12 Straight Lines Graphing mx plus b
  257.    wt: 2:   11 Straight Lines Graphing y=mx
  258.    wt: 2:   10 Straight Lines through Origin Equations More
  259.    wt: 2:   9 Straight Lines through Origin Equations
  260.    wt: 2:   8 Straight Lines Equation for vertical
  261.    wt: 2:   7 Tangent Function is odd on this domain
  262.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  263.    wt: 2:   5 Tangent Function Graph
  264.    wt: 2:   4 Tangent Function Properties
  265.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  266.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  267.    wt: 2:   1 Straight Lines Slope Concept
  268.    wt: 2:   14 cosine even and sine and tangent are odd
  269.    wt: 2:   21 Logarithms Powers and Exponentials
  270.    wt: 2:   20 N th Roots of Complex Numbers
  271.    wt: 2:   16 References and Originality Question
  272.    wt: 2:   13 Trig Formulas for dot and cross Products
  273.    wt: 2:   12 cis formulas for sine cosines and tangent
  274.    wt: 2:   11 sine and cosine double triple angle formulas
  275.    wt: 2:   9 The complex number valued trig function cis
  276.    wt: 2:   3 Addition Properties
  277.    wt: 2:   2 Complex Numbers made easier we hope
  278.    wt: 2:   Appetizer A Complex Number Applet
  279.    wt: 2:   7 Trignometric Ratios Unit Circle
  280.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  281.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  282.    wt: 2:   1 Angle Measurement with Degrees
  283.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  284.    wt: 2:   10 Midpoint of [a b] and [b a]
  285.    wt: 2:   7 Exercises to test skill and concept mastery
  286.    wt: 2:   6 Intersection of lines by solving linear systems
  287.    wt: 2:   1 Numerical view of lines and their equations
  288.    wt: 2:   What is and is not here
  289.    wt: 2:   7 Complex Numbers Appetizer
  290.    wt: 2:   4 Polar Coordinates to and from
  291.    wt: 2:   2 Cartesian Coordinates with signs
  292.    wt: 2:   PS H Distributive Law For Complex Numbers
  293.    wt: 2:   PS G Rotation Distributes over Addition
  294.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  295.    wt: 2:   PS E Multiplication with Polar Coordinates
  296.    wt: 2:   16 Angles Subtended By Chords and Diameters
  297.    wt: 2:   1 Initial Concepts and Terms
  298.    wt: 2:   3 Lengths and Areas on Maps and Plans
  299.    wt: 2:   musings do not puiblish real numbers
  300.    wt: 2:   A Modular and Remainder Arithmetic
  301.    wt: 2:   A Signed Number Arithmetic Review
  302.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  303.    wt: 2:   22 Multiplication of Signed Numbers
  304.    wt: 2:   21 Addition of Multiples of a Single Vector
  305.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  306.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  307.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  308.    wt: 2:   15 Head to Tails in place Addition Associative
  309.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  310.    wt: 2:   13 Arrows and Vectors in a Plane
  311.    wt: 2:   12 Real Numbers Line Signed Coordinates
  312.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  313.    wt: 2:   9 Division with Digits after Decimal Point
  314.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  315.    wt: 2:   4 Location of Point in Decimal Addition
  316.    wt: 2:   B Decimal Comparison and Subtraction
  317.    wt: 2:   A Decimal Addition Columm Methods
  318.    wt: 2:   6 Column Methods for Decimal Multiplication
  319.    wt: 2:   5 Distributive Law for Whole Numbers
  320.    wt: 2:   3 Multiplicative Counting Skills Principles
  321.    wt: 2:   1 The Counting Origins of Numbers
  322.    wt: 2:   5 Proportionality in Equivalent Fractions
  323.    wt: 2:   6 Equations and Systems Equivalent or Implied
  324.    wt: 2:   4 Subtraction and Division Axioms
  325.    wt: 2:   4 Comparison of Negative Numbers
  326.    wt: 2:   1 Real Numbers Comparison
  327.    wt: 2:   16 Real Numbers Comparison
  328.    wt: 2:   15 Real Number Division
  329.    wt: 2:   14 Real Number Multiplication
  330.    wt: 2:   13 Real Number Subtraction
  331.    wt: 2:   12 Real Number Additive Inverses or Negatives
  332.    wt: 2:   8 Coordinates for Maps and Planes
  333.    wt: 2:   7 Real Numbers as Line Cordinates
  334.    wt: 2:   6 Unsigned Real Numbers
  335.    wt: 2:   5 Rational Numbers More
  336.    wt: 2:   4 Rational Numbers
  337.    wt: 2:   3 Fractions
  338.    wt: 2:   3 Geometric Formulas and Function Notation
  339.    wt: 2:   1 Formulas Dependence and Function Notation
  340.    wt: 2:   3 GE III Equation Addition and Multiplication
  341.    wt: 2:   Skill Development Notes
  342.    wt: 2:   10 One Example
  343.    wt: 2:   9 Three Examples
  344.    wt: 2:   8 One Example
  345.    wt: 2:   7 Two Examples
  346.    wt: 2:   5 Three Examples
  347.    wt: 2:   4 Two Examples
  348.    wt: 2:   3 Two Examples
  349.    wt: 2:   2 Three Examples
  350.    wt: 2:   9 Sets in Probability and Statistics
  351.    wt: 2:   8 Sets of Numbers
  352.    wt: 2:   3 Counting with Sets etc
  353.    wt: 2:   5 Talking about Numbers and Quantities
  354.    wt: 2:   4 A Brief Story of numbers and algebra
  355.    wt: 2:   013 Travel Time Tables
  356.    wt: 2:   012 Division of Time Intervals by Time Intervals
  357.    wt: 2:   6 How long is a million seconds
  358.    wt: 2:   5 Conversion Arithmetic
  359.    wt: 2:   Example 1. Area Between x and x squared
  360.    wt: 2:   Example 4 with x function of y
  361.    wt: 2:   38 Formulas and derivatives for powers and roots
  362.    wt: 2:   10 Three one sided limits with infinite values
  363.    wt: 2:   9 Limits Continuity and Composition
  364.    wt: 2:   5 Jumps and absence of unlimited error control
  365.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  366.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  367.    wt: 2:   Chapter 12. Units and Slopes
  368.    wt: 2:   Chapter 10 Slopes and Units
  369.    wt: 2:   Appendix E. How To Study Mathematics and Why
  370.    wt: 2:   Appendix D. What to do in School and Why
  371.    wt: 2:   Chapter 31 Direct and Indirect Reason
  372.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  373.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  374.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  375.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  376.    wt: 2:   Chapter 20. Degrees and Radians
  377.    wt: 2:   Chapter 19. Functions and Sets
  378.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  379.    wt: 2:   Chapter 12. Shorthand Usage Guide
  380.    wt: 2:   Chapter 11. Why Shorthand
  381.    wt: 2:   Chapter 10 Describing and Changing Calculations
  382.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  383.    wt: 2:   Chapter 8 Three Skills For Algebra
  384.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  385.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  386.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  387.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  388.    wt: 2:   R Why Learn Mathematics Skills
  389.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  390.    wt: 2:   O On Learning Mathematics and Science
  391.    wt: 2:   N Improving Marks on Tests and Finals
  392.    wt: 2:   J. More on written work and showing skill
  393.    wt: 2:   H Jigsaw puzzles and problem solving
  394.    wt: 2:   G. Written work formats for developing and showing skill
  395.    wt: 2:   E. When and how to correct errors
  396.    wt: 2:   D. Check work a must with a caution
  397.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  398.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  399.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  400.    wt: 1:   Appendix 1 primary and preschool mathematic
  401.    wt: 1:   G LAMP Introduction Problem Solving Skills
  402.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  403.    wt: 1:   Skills Chapter 5 Calculus
  404.    wt: 1:   Skills Chapter 4 Logic
  405.    wt: 1:   Skills Chapter 3 Algebra
  406.    wt: 1:   Skills Chapter 2 Geometry
  407.    wt: 1:   Skills Chapter 1 Arithmetic
  408.    wt: 1:   Skills Chapter 0 Introduction
  409.    wt: 1:   7 logic review and decimals an odd combination
  410.    wt: 1:   5 logarithms and exponentials etc
  411.    wt: 1:   key notes and themes
  412.    wt: 1:   what should be learnt and When
  413.    wt: 1:   the trouble with algebra
  414.    wt: 1:   standards for course material
  415.    wt: 1:   Theory of Knowledge
  416.    wt: 1:   Education in mathematics science and technology
  417.    wt: 1:   Motivation and Context Problem
  418.    wt: 1:   fairness and inductive principles for instruction
  419.    wt: 1:   Home Tutoring and Home Schooling
  420.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  421.    wt: 1:   24 Standards For Skill Develoment Take II
  422.    wt: 1:   24 Standards For Skill Develoment
  423.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  424.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  425.    wt: 1:   17 Math Booklets for children and young teenagers
  426.    wt: 1:   14 Multiplication and Times Tables
  427.    wt: 1:   12 Goals and Objectives For Mathematics
  428.    wt: 1:   11 Help and Defend Your Child or Teens Education
  429.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  430.    wt: 1:   5 Patience Please for Yourself and Your Charges
  431.    wt: 1:   4 Learning Takes Time and Effort
  432.    wt: 1:   1 Speaking Skills
  433.    wt: 1:   Ages 12 to 14 Geometry
  434.    wt: 1:   Ages 12 to 14 Arithmetic
  435.    wt: 1:   Ages 10 to 12 Geometry
  436.    wt: 1:   Ages 10 to 12 Arithmetic
  437.    wt: 1:   Ages 9 to 10
  438.    wt: 1:   Ages 8 to 9
  439.    wt: 1:   Ages 7 to 8
  440.    wt: 1:   Ages 6 to 7
  441.    wt: 1:   Ages 4 plus to 5 plus
  442.    wt: 1:   Ages 3 plus to 4 plus
  443.    wt: 1:   26 Function definitions done and coming
  444.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  445.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  446.    wt: 1:   19 Horizontal line rule and method
  447.    wt: 1:   18 Vertical Line Rule and Method
  448.    wt: 1:   17 Function maxima minima and their location
  449.    wt: 1:   11 Function Domain Range Source and Targets
  450.    wt: 1:   9 Set theory term relation possible origins
  451.    wt: 1:   8 Set view of relations and functions
  452.    wt: 1:   7 Functions with finite domains
  453.    wt: 1:   6 Set Existence Formation and Notation
  454.    wt: 1:   4 Function notation in and beyond mathematics
  455.    wt: 1:   9 quadratics physical and further context
  456.    wt: 1:   11 Growth and Decay in Biology
  457.    wt: 1:   10 Exponential Growth and Decay Models
  458.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  459.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  460.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  461.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  462.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  463.    wt: 1:   3 Polynomials Multiplication Addition
  464.    wt: 1:   16 cotangent function Definition Graph and Inverse
  465.    wt: 1:   15 cosecant function Definition Graph and Inverse
  466.    wt: 1:   14 secant function Definition Graph and Inverse
  467.    wt: 1:   13 cosecant function Definition Graph and Inverse
  468.    wt: 1:   8 Radian Measures of Common Angles
  469.    wt: 1:   7 Radian Measures in special Triangles
  470.    wt: 1:   6 Radian Measure to Degrees
  471.    wt: 1:   5 Degrees to Radian Measure
  472.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  473.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  474.    wt: 1:   2 Radian Measure Numerical Value of one degree
  475.    wt: 1:   A Global Time and Navigation
  476.    wt: 1:   15 Dot and Cross Product
  477.    wt: 1:   10 Parallelogram Addition Method
  478.    wt: 1:   6 Vectors with Coordinates
  479.    wt: 1:   5 Head To Tail Arrow Addition
  480.    wt: 1:   3 Navigation with Arrows or Vectors
  481.    wt: 1:   4 graphing y=Asin(x c)
  482.    wt: 1:   3 graphing y=f(x c) plus K
  483.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  484.    wt: 1:   1 graphing y=f(x a)
  485.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  486.    wt: 1:   Triangle Angles Sum To 180 Degrees
  487.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  488.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  489.    wt: 1:   Straight Lines ASA Intersection Study More
  490.    wt: 1:   Straight Lines ASA Intersection Study
  491.    wt: 1:   Straight Lines Instersection Solving Equations
  492.    wt: 1:   Straight Lines Intersection of
  493.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  494.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  495.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  496.    wt: 1:   29 secant cosecant and cotangent for acute angles
  497.    wt: 1:   27 Logarithmic use of products of sines and cosines
  498.    wt: 1:   26 Formulas for products of sines and cosines
  499.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  500.    wt: 1:   21 sine and cosine Half Angle Formulas
  501.    wt: 1:   20 sine and cosine Double Angle Formulas
  502.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  503.    wt: 1:   17E Trig Formulas for dot and cross Products
  504.    wt: 1:   17D cis formulas for sine cosines and tangent
  505.    wt: 1:   17C sine and cosine double triple angle formulas
  506.    wt: 1:   17A The complex number valued trig function cis
  507.    wt: 1:   10 Graphs of sines and cosines many periods
  508.    wt: 1:   9 Graphs of sine and cosine over one period
  509.    wt: 1:   7 period of sine and cosine
  510.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  511.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  512.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  513.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  514.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  515.    wt: 1:   19 N th Roots of Unity
  516.    wt: 1:   18 Sixth Roots of Unity
  517.    wt: 1:   17 Cube Roots of unity
  518.    wt: 1:   15 Pythagorean Theorem Converse
  519.    wt: 1:   14 Law of cosines
  520.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  521.    wt: 1:   8 Unit Circle Development of Trigonometry
  522.    wt: 1:   7 Second Way to Calculate Products
  523.    wt: 1:   5 An Easy Proof of the Distributive Law
  524.    wt: 1:   4 Multiplication Properties
  525.    wt: 1:   1 Rectangular Polar Coordinates Review
  526.    wt: 1:   8 Triangles Cascade Problem Solving
  527.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  528.    wt: 1:   Why Trigonometry the whyslopes view
  529.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  530.    wt: 1:   8 Similarity of Triangles and Polygons
  531.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  532.    wt: 1:   4 Similarity Definition with Coordinate
  533.    wt: 1:   3 Similarity by Design with coordinates
  534.    wt: 1:   Four Simple Exercises
  535.    wt: 1:   12 Links Lessons elsewhere
  536.    wt: 1:   11 A Partial Summary
  537.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  538.    wt: 1:   8 Mid Point Formula
  539.    wt: 1:   5 Algebraic View of Slopes
  540.    wt: 1:   4 Equations for lines three forms
  541.    wt: 1:   3 Slope product for perpendicular lines
  542.    wt: 1:   2 point slope equation for a line
  543.    wt: 1:   13 Pythagorean spatial distance formulas
  544.    wt: 1:   12 Spatial Coordinates
  545.    wt: 1:   11 Triangle Inequality
  546.    wt: 1:   10 Pythagorean plane distance formula
  547.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  548.    wt: 1:   8 Distance Between Points on a Line
  549.    wt: 1:   3 Rectangular Coordinates Review
  550.    wt: 1:   1 Cartesian Coordinates sans signs
  551.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  552.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  553.    wt: 1:   PS B Parallelogram Construction Methods
  554.    wt: 1:   PS A Kite Construction Methods
  555.    wt: 1:   21 Parallelograms
  556.    wt: 1:   19 Right Triangle Similarity
  557.    wt: 1:   18 Triangle Similarity Take 1
  558.    wt: 1:   17 Right Bisectors of Triangle Sides
  559.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  560.    wt: 1:   14 Parallel Lines Postulate
  561.    wt: 1:   13 Angle Side Angle Failure
  562.    wt: 1:   12 Side Angle Side Failure
  563.    wt: 1:   11 Triangle Construction Fails
  564.    wt: 1:   10 Dropping a perpendicular to line
  565.    wt: 1:   9 Construction of a right bisector
  566.    wt: 1:   8 Isoceles Triangles
  567.    wt: 1:   7 Angle Side Angle
  568.    wt: 1:   5 Side Angle Side
  569.    wt: 1:   4 Side Side Side
  570.    wt: 1:   3 Isometry of Triangles Congruence
  571.    wt: 1:   2 Correspondence between Triangles
  572.    wt: 1:   Short Course on Euclidean Geometry
  573.    wt: 1:   A Measurement with Ruler Proper Use
  574.    wt: 1:   6 Figuring with Maps Not to Scale
  575.    wt: 1:   26 More Less Greater Than Comparison
  576.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  577.    wt: 1:   23 Distributive Law Two Derivations
  578.    wt: 1:   19 Signed Multiples of Vectors
  579.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  580.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  581.    wt: 1:   3 Location of Point in Decimal Multiplication
  582.    wt: 1:   2 Counting Digits in Decimal Multiplication
  583.    wt: 1:   E Long Division Methods more
  584.    wt: 1:   D Long Division Methods
  585.    wt: 1:   C Three Decimal Subtraction Methods
  586.    wt: 1:   8 Column Multiplication Methods in General
  587.    wt: 1:   7 Decimals Multiplication Methods Examples
  588.    wt: 1:   4 Commutative Law Groups Counting Form
  589.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  590.    wt: 1:   3 Proportionality Examples
  591.    wt: 1:   2 Algebraic View
  592.    wt: 1:   1 What is Proportionality
  593.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  594.    wt: 1:   6 Compound Interest Forward and Backwards
  595.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  596.    wt: 1:   5 Equality in Algebra
  597.    wt: 1:   3 Product Axioms Two Forms
  598.    wt: 1:   1 Equivalent Computation Rules
  599.    wt: 1:   5 Greater More Less Than Signs in General
  600.    wt: 1:   9 Coordinates for Regions in Space
  601.    wt: 1:   2 Integers
  602.    wt: 1:   5 Independent versus Dependent Variables
  603.    wt: 1:   4 Changing Letters
  604.    wt: 1:   2 Computation Rules Evaluation
  605.    wt: 1:   2 Essentially one exercises three with solution
  606.    wt: 1:   6 Algebraic Solution Example
  607.    wt: 1:   13 Naming Identifying Formulas with Words
  608.    wt: 1:   1 Written work formats for developing and showing skill
  609.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  610.    wt: 1:   7 Cautious or Safe Set Construction
  611.    wt: 1:   6 Power Set Notation
  612.    wt: 1:   5 Product Builder Notation
  613.    wt: 1:   4 Subset Builder Notation
  614.    wt: 1:   2 Venn Diagrams
  615.    wt: 1:   1 Finite Sets
  616.    wt: 1:   1 Three Skills For Algebra
  617.    wt: 1:   Example 2 volume of a cone
  618.    wt: 1:   Example 1 volume of a pyramid
  619.    wt: 1:   Volume of Solid by Cross Sections Lesson
  620.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  621.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  622.    wt: 1:   Example 3
  623.    wt: 1:   Example 2
  624.    wt: 1:   Example 1
  625.    wt: 1:   Area Between Curves Lesson Take 2
  626.    wt: 1:   Area Between Curves Lesson Take 1
  627.    wt: 1:   Summary
  628.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  629.    wt: 1:   17 Derivatives of quotients of sine and cosine
  630.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  631.    wt: 1:   15 sine and cosine derivatives 3rd step
  632.    wt: 1:   14 sine and cosine derivatives 2nd step
  633.    wt: 1:   13 sine and cosine derivatives 1st step
  634.    wt: 1:   11 Limits at infinity Three Examples
  635.    wt: 1:   8 Four Animated Examples
  636.    wt: 1:   7 Evaluation by immediate or delayed substitution
  637.    wt: 1:   6 Continuity at a point
  638.    wt: 1:   4 Numerical properties
  639.    wt: 1:   3 Decimal insights for limits continuity convergence
  640.    wt: 1:   2 Algebraic codification
  641.    wt: 1:   1 Numerical introduction
  642.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  643.    wt: 1:   G.5 Motions With Bounded Velocities
  644.    wt: 1:   PostScript For and Against Decimal Perspectives
  645.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  646.    wt: 1:   Chapter 22 Complex Numbers
  647.    wt: 1:   Chapter 21 Arrow Addition
  648.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  649.    wt: 1:   Chapter 7 Slopes and Velocity
  650.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  651.    wt: 1:   Chapter 2. Slopes and Ski Trails
  652.    wt: 1:   Postscript More on Better Performance
  653.    wt: 1:   Postscript For Better Performance
  654.    wt: 1:   Appendix C. How to Read
  655.    wt: 1:   Appendix B. How To Learn
  656.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  657.    wt: 1:   Chapter 30 Truth Tables
  658.    wt: 1:   Chapter 28 Occurrence Tables
  659.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  660.    wt: 1:   Chapter 25. Mathematical Induction Examples
  661.    wt: 1:   Chapter 25. Mathematical Induction Examples
  662.    wt: 1:   Chapter 23. Notation For Sums
  663.    wt: 1:   Chapter 21. Third Reading Guide
  664.    wt: 1:   Chapter 18. Rules for Algebra
  665.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  666.    wt: 1:   Chapter 16. Painless Theorem Proving
  667.    wt: 1:   Chapter 15. Solving Linear Equations
  668.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  669.    wt: 1:   Chapter 13. Second Reading Guide
  670.    wt: 1:   Postscript What is a Variable
  671.    wt: 1:   Solutions For Arithmetic Exercises
  672.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  673.    wt: 1:   Chapter 6 Change of Language
  674.    wt: 1:   Chapter 4 Longer Chains of Reason
  675.    wt: 1:   Chapter 3 Chains of Reason
  676.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  677.    wt: 1:   Foreword
  678.    wt: 1:   Chapter 2 For and Against Mathematics
  679.    wt: 1:   Postscript B More on Story Telling and Reason
  680.    wt: 1:   Chapter 24 Direct and Indirect Reason
  681.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  682.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  683.    wt: 1:   Chapter 18 Sense and Knowledge
  684.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  685.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  686.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  687.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  688.    wt: 1:   S Adding words to algebra
  689.    wt: 1:   N Mathematics Prepare for College Studies
  690.    wt: 1:   M Words to extend arithmetic
  691.    wt: 1:   H more Routine to non routine problem solving
  692.    wt: 1:   F. The student teacher tutor feedback loop
  693.    wt: 1:   C. Domino effect of being careful
  694.    wt: 1:   B. Domino effect of errors
  695.    wt: 1:   A. Skill has to be seen to believed
  696.    wt: 1:   Helping the Blind in Logic and Mathematics
  697.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  698.    wt: 1:   More Algebra and Slope based Calculus Preview
  699.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  700.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  701.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  702.    wt: 13:   5 Reciprocals and Division for Fractions with Units
  703.    wt: 13:   1 Addition and Subtraction with Units
  704.    wt: 12:   6 Simplification of Fractions with Units
  705.    wt: 12:   4 Fractions with Units
  706.    wt: 12:   3 Multiplying Units and Numbers
  707.    wt: 12:   B Fractions and Two Term Ratios
  708.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  709.    wt: 12:   9 Improper Fractions and Mixed Numbers
  710.    wt: 11:   2 Equality and Units
  711.    wt: 11:   21 Reciprocals for Fractions and Wholes
  712.    wt: 11:   15 Adding and Subtracting with Unlike Denominators
  713.    wt: 11:   14 Adding and Subtracting with Like Denominators
  714.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  715.    wt: 11:   6. Counting and adding units and mixed units
  716.    wt: 10:   7 Converting or Changing Units
  717.    wt: 10:   D Three Term Ratios
  718.    wt: 10:   22 Complex Compound Fractions
  719.    wt: 10:   21 Working With Signs
  720.    wt: 10:   20 Dividing Fractions the Why
  721.    wt: 10:   19 Dividing Fractions How TO
  722.    wt: 10:   17 Efficient Ways to Add and Subtract
  723.    wt: 10:   16 Addition Subtraction Comparision Compared
  724.    wt: 10:   5 Equivalent Fractions
  725.    wt: 10:   6 Subtraction with Conversion Example with Exercises

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.