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

45 matches:

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

Web Page Search

459 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   8 Division and Mulplication of Compound Fractions
  3.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  4.    wt: 3:   27 Logarithmic use of products of sines and cosines
  5.    wt: 3:   4 A Brief Story of numbers and algebra
  6.    wt: 3:   5 lengths and signs of numbers
  7.    wt: 3:   6 Simplification of Fractions with Units
  8.    wt: 3:   B Fractions and Two Term Ratios
  9.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  10.    wt: 3:   9 Improper Fractions and Mixed Numbers
  11.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  12.    wt: 3:   Quick history of numbers and algebra
  13.    wt: 3:   17 Derivatives of quotients of sine and cosine
  14.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  15.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  16.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  17.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  18.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  19.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  20.    wt: 2:   Ramblings Extrinsic numbers theory
  21.    wt: 2:   Theory of Knowledge
  22.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  23.    wt: 2:   2 Reading and Writing Skills
  24.    wt: 2:   8 Set view of relations and functions
  25.    wt: 2:   4 Resultant of a Sum of Movements
  26.    wt: 2:   Vector and Complex Number Applet
  27.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  28.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  29.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  30.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  31.    wt: 2:   26 Formulas for products of sines and cosines
  32.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  33.    wt: 2:   14 cosine even and sine and tangent are odd
  34.    wt: 2:   10 Graphs of sines and cosines many periods
  35.    wt: 2:   9 Graphs of sine and cosine over one period
  36.    wt: 2:   7 period of sine and cosine
  37.    wt: 2:   20 N th Roots of Complex Numbers
  38.    wt: 2:   6 Field Properties of Complex Number
  39.    wt: 2:   5 An Easy Proof of the Distributive Law
  40.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  41.    wt: 2:   3 Trigonometric Ratios sine and cosine
  42.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  43.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  44.    wt: 2:   8 Similarity of Triangles and Polygons
  45.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  46.    wt: 2:   10 Midpoint of [a b] and [b a]
  47.    wt: 2:   1 Numerical view of lines and their equations
  48.    wt: 2:   3 Lengths and Areas on Maps and Plans
  49.    wt: 2:   22 Multiplication of Signed Numbers
  50.    wt: 2:   21 Addition of Multiples of a Single Vector
  51.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  52.    wt: 2:   11 Signed Number Addition and Addition Properties
  53.    wt: 2:   2 Combing Counts Addition Skills and Principles
  54.    wt: 2:   1 The Counting Origins of Numbers
  55.    wt: 2:   4 Rates Ratios and Proporitionality
  56.    wt: 2:   6 Compound Interest Forward and Backwards
  57.    wt: 2:   4 Comparison of Negative Numbers
  58.    wt: 2:   2 More and Less Than for Counts and Measures
  59.    wt: 2:   10 Real Number Lengths and Signs
  60.    wt: 2:   1 Whole and Natural Numbers
  61.    wt: 2:   8 Sets of Numbers
  62.    wt: 2:   5 Talking about Numbers and Quantities
  63.    wt: 2:   3 Comparison of Negative Numbers
  64.    wt: 2:   1 More and Less Than for Counts and Measures
  65.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  66.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  67.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  68.    wt: 2:   4 LCM of 8 and 10 via Prime
  69.    wt: 2:   11 What are real lengths and numbers
  70.    wt: 2:   2 signed and unsigned numbers as coordinates
  71.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  72.    wt: 2:   3 Multiplying Units and Numbers
  73.    wt: 2:   22 Complex Compound Fractions
  74.    wt: 2:   21 Reciprocals for Fractions and Wholes
  75.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  76.    wt: 2:   8 What skills and work habits to require
  77.    wt: 2:   6. Counting and adding units and mixed units
  78.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  79.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  80.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  81.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  82.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  83.    wt: 2:   Exact Arithmetic Wholes and Fractions
  84.    wt: 2:   011 Division of Time Intervals By Numbers
  85.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  86.    wt: 2:   4 Mixing and Changing Units of Time
  87.    wt: 2:   3 Units and Lengths of Time
  88.    wt: 2:   1 Intro of Kids To Time Date Skills
  89.    wt: 2:   38 Formulas and derivatives for powers and roots
  90.    wt: 2:   5 Jumps and absence of unlimited error control
  91.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  92.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  93.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  94.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  95.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  96.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  97.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  98.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  99.    wt: 2:   I. Logic and language skills
  100.    wt: 2:   How to Build Skills and Confidence
  101.    wt: 1:   Appendix 1 primary and preschool mathematic
  102.    wt: 1:   G LAMP Introduction Problem Solving Skills
  103.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  104.    wt: 1:   Skills Chapter 5 Calculus
  105.    wt: 1:   Skills Chapter 4 Logic
  106.    wt: 1:   Skills Chapter 3 Algebra
  107.    wt: 1:   Skills Chapter 2 Geometry
  108.    wt: 1:   Skills Chapter 1 Arithmetic
  109.    wt: 1:   Skills Chapter 0 Introduction
  110.    wt: 1:   7 logic review and decimals an odd combination
  111.    wt: 1:   5 logarithms and exponentials etc
  112.    wt: 1:   2 arithmetic with signed numbers
  113.    wt: 1:   1 arithmetic with unsigned numbers
  114.    wt: 1:   key notes and themes
  115.    wt: 1:   Mathematics Education Professors
  116.    wt: 1:   what should be learnt and When
  117.    wt: 1:   standards for course material
  118.    wt: 1:   Education in mathematics science and technology
  119.    wt: 1:   Different Kinds of Reasoning in maths
  120.    wt: 1:   three kinds of reason in mathematics
  121.    wt: 1:   Motivation and Context Problem
  122.    wt: 1:   fairness and inductive principles for instruction
  123.    wt: 1:   E Kirchoffs Second Law
  124.    wt: 1:   D Kirchoff First Law
  125.    wt: 1:   Home Tutoring and Home Schooling
  126.    wt: 1:   24 Standards For Skill Develoment Take II
  127.    wt: 1:   24 Standards For Skill Develoment
  128.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  129.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  130.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  131.    wt: 1:   17 Math Booklets for children and young teenagers
  132.    wt: 1:   14 Multiplication and Times Tables
  133.    wt: 1:   13 Addition and Addition Tables
  134.    wt: 1:   12 Goals and Objectives For Mathematics
  135.    wt: 1:   11 Help and Defend Your Child or Teens Education
  136.    wt: 1:   8 The Effect of Negative Remarks
  137.    wt: 1:   5 Patience Please for Yourself and Your Charges
  138.    wt: 1:   4 Learning Takes Time and Effort
  139.    wt: 1:   1 Speaking Skills
  140.    wt: 1:   Ages 12 to 14 Skills with take home value
  141.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  142.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  143.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  144.    wt: 1:   26 Function definitions done and coming
  145.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  146.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  147.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  148.    wt: 1:   19 Horizontal line rule and method
  149.    wt: 1:   18 Vertical Line Rule and Method
  150.    wt: 1:   17 Function maxima minima and their location
  151.    wt: 1:   15 Sign analysis of functions
  152.    wt: 1:   11 Function Domain Range Source and Targets
  153.    wt: 1:   9 Set theory term relation possible origins
  154.    wt: 1:   6 Set Existence Formation and Notation
  155.    wt: 1:   4 Function notation in and beyond mathematics
  156.    wt: 1:   2 Algebraic use of function notation
  157.    wt: 1:   1 Geometric Introduction of Function Notation
  158.    wt: 1:   9 quadratics physical and further context
  159.    wt: 1:   8 quadratics backward use of various formulas
  160.    wt: 1:   4 quadratics difference of two squares
  161.    wt: 1:   11 Growth and Decay in Biology
  162.    wt: 1:   10 Exponential Growth and Decay Models
  163.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  164.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  165.    wt: 1:   2 Square Root Simplification a prequel
  166.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  167.    wt: 1:   16 cotangent function Definition Graph and Inverse
  168.    wt: 1:   15 cosecant function Definition Graph and Inverse
  169.    wt: 1:   14 secant function Definition Graph and Inverse
  170.    wt: 1:   13 cosecant function Definition Graph and Inverse
  171.    wt: 1:   11 arctan left inverse of tangent Graph
  172.    wt: 1:   10 arctan left inverse of tangent Definition
  173.    wt: 1:   8 arcsin left inverse of sine Graph
  174.    wt: 1:   7 arcsin left inverse of sine Definition
  175.    wt: 1:   6 Graph of arccos function
  176.    wt: 1:   3 Left Inverse of cosine arccos definition
  177.    wt: 1:   9 Summary Degrees to Radians and back
  178.    wt: 1:   8 Radian Measures of Common Angles
  179.    wt: 1:   2 Radian Measure Numerical Value of one degree
  180.    wt: 1:   1 Degrees and Radians Introduction
  181.    wt: 1:   A Global Time and Navigation
  182.    wt: 1:   15 Dot and Cross Product
  183.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  184.    wt: 1:   Parallel Lines and Parallel Transversals
  185.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  186.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  187.    wt: 1:   Parallel Lines and Interior Angles
  188.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  189.    wt: 1:   Straight Lines Intersection of
  190.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  191.    wt: 1:   32 seven rows of pascals triangle
  192.    wt: 1:   30 unit circle calculation of six trigonometric functions
  193.    wt: 1:   29 secant cosecant and cotangent for acute angles
  194.    wt: 1:   28 Expressing products of sines cosines as sums
  195.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  196.    wt: 1:   21 sine and cosine Half Angle Formulas
  197.    wt: 1:   20 sine and cosine Double Angle Formulas
  198.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  199.    wt: 1:   18 sum of sinusoidal waves as a single wave
  200.    wt: 1:   17F Law of cosines
  201.    wt: 1:   17E Trig Formulas for dot and cross Products
  202.    wt: 1:   17D cis formulas for sine cosines and tangent
  203.    wt: 1:   17C sine and cosine double triple angle formulas
  204.    wt: 1:   17A The complex number valued trig function cis
  205.    wt: 1:   13 Graph of tangent function many periods
  206.    wt: 1:   12 Graph of tangent function for one period
  207.    wt: 1:   8 period of tangent function
  208.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  209.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  210.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  211.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  212.    wt: 1:   Unit Circle Development of Trigonometry
  213.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  214.    wt: 1:   21 Logarithms Powers and Exponentials
  215.    wt: 1:   19 N th Roots of Unity
  216.    wt: 1:   18 Sixth Roots of Unity
  217.    wt: 1:   17 Cube Roots of unity
  218.    wt: 1:   16 References and Originality Question
  219.    wt: 1:   14 Law of cosines
  220.    wt: 1:   13 Trig Formulas for dot and cross Products
  221.    wt: 1:   12 cis formulas for sine cosines and tangent
  222.    wt: 1:   11 sine and cosine double triple angle formulas
  223.    wt: 1:   9 The complex number valued trig function cis
  224.    wt: 1:   8 Unit Circle Development of Trigonometry
  225.    wt: 1:   2 Complex Numbers made easier we hope
  226.    wt: 1:   Appetizer A Complex Number Applet
  227.    wt: 1:   7 Trignometric Ratios Unit Circle
  228.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  229.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  230.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  231.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  232.    wt: 1:   9 Similarity of Triangles Usual Criteria
  233.    wt: 1:   1 Early Concept of Like or Similar Shapes
  234.    wt: 1:   7 Exercises to test skill and concept mastery
  235.    wt: 1:   6 Intersection of lines by solving linear systems
  236.    wt: 1:   5 Algebraic View of Slopes
  237.    wt: 1:   What is and is not here
  238.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  239.    wt: 1:   7 Complex Numbers Appetizer
  240.    wt: 1:   6 Polar Multiplication and Rotation
  241.    wt: 1:   5 Cartesian Addition and Translation
  242.    wt: 1:   4 Polar Coordinates to and from
  243.    wt: 1:   PS H Distributive Law For Complex Numbers
  244.    wt: 1:   17 Right Bisectors of Triangle Sides
  245.    wt: 1:   16 Angles Subtended By Chords and Diameters
  246.    wt: 1:   9 Construction of a right bisector
  247.    wt: 1:   6 Ruler and compass Angle Bisection
  248.    wt: 1:   3 Isometry of Triangles Congruence
  249.    wt: 1:   1 Initial Concepts and Terms
  250.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  251.    wt: 1:   musings do not puiblish real numbers
  252.    wt: 1:   A Modular and Remainder Arithmetic
  253.    wt: 1:   A Signed Number Arithmetic Review
  254.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  255.    wt: 1:   19 Signed Multiples of Vectors
  256.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  257.    wt: 1:   13 Arrows and Vectors in a Plane
  258.    wt: 1:   12 Real Numbers Line Signed Coordinates
  259.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  260.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  261.    wt: 1:   4 Location of Point in Decimal Addition
  262.    wt: 1:   3 Location of Point in Decimal Multiplication
  263.    wt: 1:   1 Fractions with Finite Decimal Expansions
  264.    wt: 1:   B Decimal Comparison and Subtraction
  265.    wt: 1:   5 Distributive Law for Whole Numbers
  266.    wt: 1:   3 Multiplicative Counting Skills Principles
  267.    wt: 1:   5 Areas of Rectangles Revisited
  268.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  269.    wt: 1:   5 Proportionality in Equivalent Fractions
  270.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  271.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  272.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  273.    wt: 1:   6 Equations and Systems Equivalent or Implied
  274.    wt: 1:   4 Subtraction and Division Axioms
  275.    wt: 1:   2 Addition and Multiplication Axioms
  276.    wt: 1:   3 More and Less Than with Unlike Signs
  277.    wt: 1:   1 Real Numbers Comparison
  278.    wt: 1:   16 Real Numbers Comparison
  279.    wt: 1:   15 Real Number Division
  280.    wt: 1:   14 Real Number Multiplication
  281.    wt: 1:   13 Real Number Subtraction
  282.    wt: 1:   12 Real Number Additive Inverses or Negatives
  283.    wt: 1:   11 Real Number Addition
  284.    wt: 1:   8 Coordinates for Maps and Planes
  285.    wt: 1:   7 Real Numbers as Line Cordinates
  286.    wt: 1:   6 Unsigned Real Numbers
  287.    wt: 1:   5 Rational Numbers More
  288.    wt: 1:   4 Rational Numbers
  289.    wt: 1:   3 Fractions
  290.    wt: 1:   3 Geometric Formulas and Function Notation
  291.    wt: 1:   1 Formulas Dependence and Function Notation
  292.    wt: 1:   3 GE III Equation Addition and Multiplication
  293.    wt: 1:   11 Volume of Sphere
  294.    wt: 1:   10 Volume of Pyramid
  295.    wt: 1:   9 Volume of Cone
  296.    wt: 1:   8 Compound Interest Formula Evaluation
  297.    wt: 1:   7 Compound Interest Formula Introduction
  298.    wt: 1:   1 Written work formats for developing and showing skill
  299.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  300.    wt: 1:   9 Sets in Probability and Statistics
  301.    wt: 1:   6 Three Notions of What is a Variable
  302.    wt: 1:   1 Three Skills For Algebra
  303.    wt: 1:   2 More and Less Than with Unlike Signs
  304.    wt: 1:   3 Properties of Square Roots with example
  305.    wt: 1:   1 Squares and Square Roots Introduction
  306.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  307.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  308.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  309.    wt: 1:   7 GCD and LCM from prime factorization
  310.    wt: 1:   3 Counting with Tables and Trees II
  311.    wt: 1:   2 Counting with Tables and Trees I
  312.    wt: 1:   1 Counting and Counting Methods I
  313.    wt: 1:   10 dividing signed numbers
  314.    wt: 1:   9 subtracting signed numbers
  315.    wt: 1:   8 multiplying signed numbers
  316.    wt: 1:   7 negative and additive inverse
  317.    wt: 1:   6 adding signed numbers
  318.    wt: 1:   3 signed coordinates for maps and planes
  319.    wt: 1:   4 Fractions with Units
  320.    wt: 1:   2 Equality and Units
  321.    wt: 1:   1 Addition and Subtraction with Units
  322.    wt: 1:   D Three Term Ratios
  323.    wt: 1:   20 Dividing Fractions the Why
  324.    wt: 1:   19 Dividing Fractions How TO
  325.    wt: 1:   17 Efficient Ways to Add and Subtract
  326.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  327.    wt: 1:   14 Adding and Subtracting with Like Denominators
  328.    wt: 1:   11 Simplification an Algebraic View
  329.    wt: 1:   5 Equivalent Fractions
  330.    wt: 1:   3 Unit fraction of a fraction
  331.    wt: 1:   11 Adding Integers Formulas and Examples
  332.    wt: 1:   8 Multiplication by Signed Numbers Integers
  333.    wt: 1:   6 Multiplication by Natural Numbers
  334.    wt: 1:   5 Zero Movement and Additive Inverses
  335.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  336.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  337.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  338.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  339.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  340.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  341.    wt: 1:   20 Uniqueness of Prime Factorization
  342.    wt: 1:   17 Identify and Count Factors using Primes
  343.    wt: 1:   16 video Factors of 980 using prime
  344.    wt: 1:   15 video Factors of 20 using Prime Factorization
  345.    wt: 1:   14 video Factors of 24 Take II
  346.    wt: 1:   13 video Factors of 24 using prime
  347.    wt: 1:   12 LCD GCD and LCM using Primes
  348.    wt: 1:   7 Calculator Usage Notes and Cautions
  349.    wt: 1:   5 Prime Factorization and a Square Rule
  350.    wt: 1:   3 video Primes and Composites from 9 times table
  351.    wt: 1:   2 Prime and Composites less than 16
  352.    wt: 1:   Division with Counts and Length
  353.    wt: 1:   Long Division forwards and backwards Example 3
  354.    wt: 1:   Long Division forwards and backwards Example 2
  355.    wt: 1:   Long Division forwards and backwards Example 1
  356.    wt: 1:   10 Division by Five Long and Short Ways
  357.    wt: 1:   C Counting Areas with Powers of Ten
  358.    wt: 1:   B Powers of Ten
  359.    wt: 1:   4 Two and Three Digit Multipliers
  360.    wt: 1:   8 Subtraction with Units of Measure
  361.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  362.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  363.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  364.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  365.    wt: 1:   7 Adding decimal fractions using decimal point
  366.    wt: 1:   11 Place Value SI Standard International way
  367.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  368.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  369.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  370.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  371.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  372.    wt: 1:   016 Numbering Occidental Calendar Days
  373.    wt: 1:   015 School and work day counting tables
  374.    wt: 1:   012 Division of Time Intervals by Time Intervals
  375.    wt: 1:   010 Repeated Addition of Time Intervals
  376.    wt: 1:   8 Addition of Time Intervals via subtotaling
  377.    wt: 1:   7 Addition of Time Intervals
  378.    wt: 1:   2 Time and Date Matters in School
  379.    wt: 1:   Example 2 volume of a cone
  380.    wt: 1:   Example 1 volume of a pyramid
  381.    wt: 1:   Volume of Solid by Cross Sections Lesson
  382.    wt: 1:   Example 1. Area Between x and x squared
  383.    wt: 1:   Example 4 with x function of y
  384.    wt: 1:   34 Derivative of exponential function
  385.    wt: 1:   31 Derivatives of inverse functions
  386.    wt: 1:   30Chain Rule A Proof
  387.    wt: 1:   28 Chain Rule Preparation for a Proof
  388.    wt: 1:   15 sine and cosine derivatives 3rd step
  389.    wt: 1:   14 sine and cosine derivatives 2nd step
  390.    wt: 1:   13 sine and cosine derivatives 1st step
  391.    wt: 1:   8 Differentiation of polynomials
  392.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  393.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  394.    wt: 1:   9 Limits Continuity and Composition
  395.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  396.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  397.    wt: 1:   G.3 Constant Difference Theorem Proof
  398.    wt: 1:   E2 Algebraic Properties of Limits
  399.    wt: 1:   D2 Limits of Monotone Sequences
  400.    wt: 1:   PostScript For and Against Decimal Perspectives
  401.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  402.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  403.    wt: 1:   Chapter 22 Complex Numbers
  404.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  405.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  406.    wt: 1:   Chapter 12. Units and Slopes
  407.    wt: 1:   Chapter 10 Slopes and Units
  408.    wt: 1:   Chapter 7 Slopes and Velocity
  409.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  410.    wt: 1:   Chapter 2. Slopes and Ski Trails
  411.    wt: 1:   Appendix E. How To Study Mathematics and Why
  412.    wt: 1:   Appendix D. What to do in School and Why
  413.    wt: 1:   Chapter 31 Direct and Indirect Reason
  414.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  415.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  416.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  417.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  418.    wt: 1:   Chapter 20. Degrees and Radians
  419.    wt: 1:   Chapter 19. Functions and Sets
  420.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  421.    wt: 1:   Chapter 12. Shorthand Usage Guide
  422.    wt: 1:   Chapter 11. Why Shorthand
  423.    wt: 1:   Chapter 10 Describing and Changing Calculations
  424.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  425.    wt: 1:   Chapter 8 Three Skills For Algebra
  426.    wt: 1:   Chapter 6 Change of Language
  427.    wt: 1:   Chapter 4 Longer Chains of Reason
  428.    wt: 1:   Chapter 3 Chains of Reason
  429.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  430.    wt: 1:   Chapter 7 Two Treatments of Geometry
  431.    wt: 1:   Chapter 2 For and Against Mathematics
  432.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  433.    wt: 1:   Postscript B More on Story Telling and Reason
  434.    wt: 1:   Chapter 24 Direct and Indirect Reason
  435.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  436.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  437.    wt: 1:   Chapter 18 Sense and Knowledge
  438.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  439.    wt: 1:   Chapter 8 Change of Language
  440.    wt: 1:   Chapter 7 Longer Chains of Reason
  441.    wt: 1:   Chapter 6 Chains of Reason
  442.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  443.    wt: 1:   R Why Learn Mathematics Skills
  444.    wt: 1:   O On Learning Mathematics and Science
  445.    wt: 1:   L Skills with take home value
  446.    wt: 1:   N Improving Marks on Tests and Finals
  447.    wt: 1:   J. More on written work and showing skill
  448.    wt: 1:   H Jigsaw puzzles and problem solving
  449.    wt: 1:   G. Written work formats for developing and showing skill
  450.    wt: 1:   E. When and how to correct errors
  451.    wt: 1:   C. Domino effect of being careful
  452.    wt: 1:   B. Domino effect of errors
  453.    wt: 1:   Helping the Blind in Logic and Mathematics
  454.    wt: 1:   More Algebra and Slope based Calculus Preview
  455.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  456.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  457.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  458.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  459.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

760 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   5 lengths and signs of numbers
  3.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 9:   3 Multiplying Units and Numbers
  5.    wt: 9:   21 Working With Signs
  6.    wt: 9:   18 Efficient Ways to Multiply
  7.    wt: 9:   16 Addition Subtraction Comparision Compared
  8.    wt: 9:   13 Fraction Comparison Algebraic View
  9.    wt: 9:   12 Fraction Comparison
  10.    wt: 9:   8 Numerals Fractionals Quantals Take II
  11.    wt: 9:   7 Numerals Fractionals Quantals
  12.    wt: 9:   6 Multiplication Algebraically Take II
  13.    wt: 9:   4 Fraction Multiplication
  14.    wt: 9:   2 Unit Fraction Multiplication
  15.    wt: 9:   1 What is a fraction Take II
  16.    wt: 9:   1 What is a fraction
  17.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  18.    wt: 8:   4 Greater More Less Than Signs in General
  19.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  20.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  21.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  22.    wt: 8:   4 LCM of 8 and 10 via Prime
  23.    wt: 8:   11 What are real lengths and numbers
  24.    wt: 8:   2 signed and unsigned numbers as coordinates
  25.    wt: 8:   4 Fractions with Units
  26.    wt: 8:   2 Equality and Units
  27.    wt: 8:   1 Addition and Subtraction with Units
  28.    wt: 8:   8 What skills and work habits to require
  29.    wt: 8:   6. Counting and adding units and mixed units
  30.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  31.    wt: 8:   Quick history of numbers and algebra
  32.    wt: 7:   3 Properties of Square Roots with example
  33.    wt: 7:   1 Squares and Square Roots Introduction
  34.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  35.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  36.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  37.    wt: 7:   7 GCD and LCM from prime factorization
  38.    wt: 7:   3 Counting with Tables and Trees II
  39.    wt: 7:   2 Counting with Tables and Trees I
  40.    wt: 7:   1 Counting and Counting Methods I
  41.    wt: 7:   10 dividing signed numbers
  42.    wt: 7:   9 subtracting signed numbers
  43.    wt: 7:   8 multiplying signed numbers
  44.    wt: 7:   7 negative and additive inverse
  45.    wt: 7:   6 adding signed numbers
  46.    wt: 7:   3 signed coordinates for maps and planes
  47.    wt: 7:   7 Converting or Changing Units
  48.    wt: 7:   6 Multiplication by Natural Numbers
  49.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  50.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  51.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  52.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  53.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  54.    wt: 7:   20 Uniqueness of Prime Factorization
  55.    wt: 7:   17 Identify and Count Factors using Primes
  56.    wt: 7:   16 video Factors of 980 using prime
  57.    wt: 7:   15 video Factors of 20 using Prime Factorization
  58.    wt: 7:   14 video Factors of 24 Take II
  59.    wt: 7:   13 video Factors of 24 using prime
  60.    wt: 7:   12 LCD GCD and LCM using Primes
  61.    wt: 7:   7 Calculator Usage Notes and Cautions
  62.    wt: 7:   5 Prime Factorization and a Square Rule
  63.    wt: 7:   3 video Primes and Composites from 9 times table
  64.    wt: 7:   2 Prime and Composites less than 16
  65.    wt: 7:   8 Subtraction with Units of Measure
  66.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  67.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  68.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  69.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  70.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  71.    wt: 7:   7 Adding decimal fractions using decimal point
  72.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  73.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  74.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  75.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  76.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  77.    wt: 7:   Exact Arithmetic Wholes and Fractions
  78.    wt: 6:   5 Square Roots with primes more still
  79.    wt: 6:   4 Square Roots with primes more
  80.    wt: 6:   2 Square Roots with Prime
  81.    wt: 6:   13 GCD from given Prime Factorization
  82.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  83.    wt: 6:   8 GCD from Euclidean Algorithm
  84.    wt: 6:   6 GCD from Prime
  85.    wt: 6:   5 Common Divisors 60 45 via Prime
  86.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  87.    wt: 6:   2 Least Common Multiple LCM intro via list method
  88.    wt: 6:   1 Least Common Multiples LCM Introduction
  89.    wt: 6:   12 GCD 2700 288 via Prime
  90.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  91.    wt: 6:   4 Counting with Trees Product Rule Take I
  92.    wt: 6:   4 signed coordinates for regions in space
  93.    wt: 6:   11 Adding Integers Formulas and Examples
  94.    wt: 6:   8 Multiplication by Signed Numbers Integers
  95.    wt: 6:   5 Zero Movement and Additive Inverses
  96.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  97.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  98.    wt: 6:   26 Divisibility by 2 3 5 Example
  99.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  100.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  101.    wt: 6:   23 Remainder Arithmetic Modulo 2
  102.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  103.    wt: 6:   21 Remainder Arithmetic Modulo 3
  104.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  105.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  106.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  107.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  108.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  109.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  110.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  111.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  112.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  113.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  114.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  115.    wt: 6:   5 Remainder Arithmetic Modulo 5
  116.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  117.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  118.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  119.    wt: 6:   1 Remainder Arithmetic Modulo 10
  120.    wt: 6:   19 video Prime Factorization Unique
  121.    wt: 6:   18 video Count Factors given Prime Factorization
  122.    wt: 6:   11 Efficient Square Rule Use
  123.    wt: 6:   10 video Prime Factorization upto 23 squared
  124.    wt: 6:   9 video Prime Factorization upto 19 squared
  125.    wt: 6:   8 video Prime Factorization upto 19
  126.    wt: 6:   4 video Prime Factorization Introduction
  127.    wt: 6:   1 video how Products are bigger than factor
  128.    wt: 6:   Division with Counts and Length
  129.    wt: 6:   Long Division forwards and backwards Example 3
  130.    wt: 6:   Long Division forwards and backwards Example 2
  131.    wt: 6:   Long Division forwards and backwards Example 1
  132.    wt: 6:   10 Division by Five Long and Short Ways
  133.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  134.    wt: 6:   C Counting Areas with Powers of Ten
  135.    wt: 6:   B Powers of Ten
  136.    wt: 6:   6 Multiplication Commutes Order Not Important
  137.    wt: 6:   4 Two and Three Digit Multipliers
  138.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  139.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  140.    wt: 6:   Subtraction with J Conversions Example
  141.    wt: 6:   Subtraction Another Video Lesson
  142.    wt: 6:   9 22 Minute Subtraction Review Video
  143.    wt: 6:   5 A Tip for Efficent Subtraction
  144.    wt: 6:   2 Subtraction Easy Case Examples
  145.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  146.    wt: 6:   5. How to add decimals C. Examples
  147.    wt: 6:   4. How to add with decimals B with conversions
  148.    wt: 6:   3. How to add with decimals A sans conversions
  149.    wt: 6:   2 Decimal Counting Practices
  150.    wt: 6:   1. Explaining Addition Table
  151.    wt: 6:   11 Place Value SI Standard International way
  152.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  153.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  154.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  155.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  156.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  157.    wt: 5:   8 Division and Mulplication of Compound Fractions
  158.    wt: 5:   arithmetic videos Real Player Format
  159.    wt: 5:   D Remainders Modulo 11 Pair Rule
  160.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  161.    wt: 5:   B Integer Long Division Multiple Choices
  162.    wt: 5:   A Associative Law Theorectical Note
  163.    wt: 5:   13 Subtraction with Additive Inverse
  164.    wt: 5:   12 Adding Integers More Examples
  165.    wt: 5:   10 Integer Multiplication Formulas
  166.    wt: 5:   9 Multiplying Integers
  167.    wt: 5:   7 Multiplication by Signs
  168.    wt: 5:   4 Adding Movements wiht opposite directions
  169.    wt: 5:   3 Adding Movements with same direction
  170.    wt: 5:   1 Integers as Coordinates
  171.    wt: 5:   Long Division Backwards more
  172.    wt: 5:   Long Division Backward
  173.    wt: 5:   12 Why Long Division Works Take III
  174.    wt: 5:   11 Another Single Digit Divisor Example
  175.    wt: 5:   9 Why Long Division Works Take II
  176.    wt: 5:   8 Correcting the Mistake
  177.    wt: 5:   7 Long Divison Mistake Catching
  178.    wt: 5:   5 Long Division Include Zeroes or not
  179.    wt: 5:   4 Division with 2 Digit Divsors
  180.    wt: 5:   3 Division Single Digit Divisor Example
  181.    wt: 5:   2 Division with Single Digit Divisors
  182.    wt: 5:   1 Divsion Physical Examples
  183.    wt: 5:   D Decimal Multiplication Methods Derived
  184.    wt: 5:   A Elementary Basis for Multiplication Methods
  185.    wt: 5:   5 Decimal Fraction Multiplication
  186.    wt: 5:   3 More One Digit Multipliers
  187.    wt: 5:   2 One Digit Multipliers
  188.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  189.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  190.    wt: 5:   Video Power Notation in Decimal Expansion
  191.    wt: 5:   1 Why 3 times 5 gives 15
  192.    wt: 5:   Formula Evaluation how to show work
  193.    wt: 5:   Expression Evaluation how to show work
  194.    wt: 5:   The 20 Times Table
  195.    wt: 5:   The 12 Times Table Visually
  196.    wt: 5:   About folder contents
  197.    wt: 4:   6 Field Properties of Complex Number
  198.    wt: 4:   2 Combing Counts Addition Skills and Principles
  199.    wt: 4:   1 The Counting Origins of Numbers
  200.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  201.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  202.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  203.    wt: 3:   27 Logarithmic use of products of sines and cosines
  204.    wt: 3:   20 N th Roots of Complex Numbers
  205.    wt: 3:   5 An Easy Proof of the Distributive Law
  206.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  207.    wt: 3:   3 Trigonometric Ratios sine and cosine
  208.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  209.    wt: 3:   10 Midpoint of [a b] and [b a]
  210.    wt: 3:   6 Intersection of lines by solving linear systems
  211.    wt: 3:   1 Numerical view of lines and their equations
  212.    wt: 3:   6 Polar Multiplication and Rotation
  213.    wt: 3:   6 Ruler and compass Angle Bisection
  214.    wt: 3:   22 Multiplication of Signed Numbers
  215.    wt: 3:   21 Addition of Multiples of a Single Vector
  216.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  217.    wt: 3:   11 Signed Number Addition and Addition Properties
  218.    wt: 3:   B Decimal Comparison and Subtraction
  219.    wt: 3:   6 Column Methods for Decimal Multiplication
  220.    wt: 3:   5 Distributive Law for Whole Numbers
  221.    wt: 3:   3 Multiplicative Counting Skills Principles
  222.    wt: 3:   4 Rates Ratios and Proporitionality
  223.    wt: 3:   4 Comparison of Negative Numbers
  224.    wt: 3:   2 More and Less Than for Counts and Measures
  225.    wt: 3:   10 Real Number Lengths and Signs
  226.    wt: 3:   1 Whole and Natural Numbers
  227.    wt: 3:   6 Three Examples
  228.    wt: 3:   4 A Brief Story of numbers and algebra
  229.    wt: 3:   011 Division of Time Intervals By Numbers
  230.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  231.    wt: 3:   4 Mixing and Changing Units of Time
  232.    wt: 3:   3 Units and Lengths of Time
  233.    wt: 3:   1 Intro of Kids To Time Date Skills
  234.    wt: 3:   17 Derivatives of quotients of sine and cosine
  235.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  236.    wt: 3:   5 Jumps and absence of unlimited error control
  237.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  238.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  239.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  240.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  241.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  242.    wt: 3:   I. Logic and language skills
  243.    wt: 3:   How to Build Skills and Confidence
  244.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  245.    wt: 2:   Ramblings Extrinsic numbers theory
  246.    wt: 2:   Theory of Knowledge
  247.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  248.    wt: 2:   2 Reading and Writing Skills
  249.    wt: 2:   Ages 12 to 14 Skills with take home value
  250.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  251.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  252.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  253.    wt: 2:   8 Set view of relations and functions
  254.    wt: 2:   9 Summary Degrees to Radians and back
  255.    wt: 2:   8 Radian Measures of Common Angles
  256.    wt: 2:   2 Radian Measure Numerical Value of one degree
  257.    wt: 2:   1 Degrees and Radians Introduction
  258.    wt: 2:   4 Resultant of a Sum of Movements
  259.    wt: 2:   Vector and Complex Number Applet
  260.    wt: 2:   Parallel Lines and Parallel Transversals
  261.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  262.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  263.    wt: 2:   Parallel Lines and Interior Angles
  264.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  265.    wt: 2:   Straight Lines Intersection of
  266.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  267.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  268.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  269.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  270.    wt: 2:   26 Formulas for products of sines and cosines
  271.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  272.    wt: 2:   14 cosine even and sine and tangent are odd
  273.    wt: 2:   10 Graphs of sines and cosines many periods
  274.    wt: 2:   9 Graphs of sine and cosine over one period
  275.    wt: 2:   7 period of sine and cosine
  276.    wt: 2:   21 Logarithms Powers and Exponentials
  277.    wt: 2:   19 N th Roots of Unity
  278.    wt: 2:   18 Sixth Roots of Unity
  279.    wt: 2:   17 Cube Roots of unity
  280.    wt: 2:   16 References and Originality Question
  281.    wt: 2:   14 Law of cosines
  282.    wt: 2:   13 Trig Formulas for dot and cross Products
  283.    wt: 2:   12 cis formulas for sine cosines and tangent
  284.    wt: 2:   11 sine and cosine double triple angle formulas
  285.    wt: 2:   9 The complex number valued trig function cis
  286.    wt: 2:   8 Unit Circle Development of Trigonometry
  287.    wt: 2:   2 Complex Numbers made easier we hope
  288.    wt: 2:   Appetizer A Complex Number Applet
  289.    wt: 2:   7 Trignometric Ratios Unit Circle
  290.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  291.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  292.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  293.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  294.    wt: 2:   8 Similarity of Triangles and Polygons
  295.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  296.    wt: 2:   7 Exercises to test skill and concept mastery
  297.    wt: 2:   5 Algebraic View of Slopes
  298.    wt: 2:   What is and is not here
  299.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  300.    wt: 2:   7 Complex Numbers Appetizer
  301.    wt: 2:   5 Cartesian Addition and Translation
  302.    wt: 2:   4 Polar Coordinates to and from
  303.    wt: 2:   PS H Distributive Law For Complex Numbers
  304.    wt: 2:   17 Right Bisectors of Triangle Sides
  305.    wt: 2:   16 Angles Subtended By Chords and Diameters
  306.    wt: 2:   9 Construction of a right bisector
  307.    wt: 2:   3 Isometry of Triangles Congruence
  308.    wt: 2:   1 Initial Concepts and Terms
  309.    wt: 2:   3 Lengths and Areas on Maps and Plans
  310.    wt: 2:   musings do not puiblish real numbers
  311.    wt: 2:   A Modular and Remainder Arithmetic
  312.    wt: 2:   A Signed Number Arithmetic Review
  313.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  314.    wt: 2:   19 Signed Multiples of Vectors
  315.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  316.    wt: 2:   13 Arrows and Vectors in a Plane
  317.    wt: 2:   12 Real Numbers Line Signed Coordinates
  318.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  319.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  320.    wt: 2:   4 Location of Point in Decimal Addition
  321.    wt: 2:   3 Location of Point in Decimal Multiplication
  322.    wt: 2:   1 Fractions with Finite Decimal Expansions
  323.    wt: 2:   E Long Division Methods more
  324.    wt: 2:   D Long Division Methods
  325.    wt: 2:   C Three Decimal Subtraction Methods
  326.    wt: 2:   A Decimal Addition Columm Methods
  327.    wt: 2:   8 Column Multiplication Methods in General
  328.    wt: 2:   7 Decimals Multiplication Methods Examples
  329.    wt: 2:   4 Commutative Law Groups Counting Form
  330.    wt: 2:   5 Areas of Rectangles Revisited
  331.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  332.    wt: 2:   5 Proportionality in Equivalent Fractions
  333.    wt: 2:   6 Compound Interest Forward and Backwards
  334.    wt: 2:   6 Equations and Systems Equivalent or Implied
  335.    wt: 2:   4 Subtraction and Division Axioms
  336.    wt: 2:   2 Addition and Multiplication Axioms
  337.    wt: 2:   3 More and Less Than with Unlike Signs
  338.    wt: 2:   1 Real Numbers Comparison
  339.    wt: 2:   16 Real Numbers Comparison
  340.    wt: 2:   15 Real Number Division
  341.    wt: 2:   14 Real Number Multiplication
  342.    wt: 2:   13 Real Number Subtraction
  343.    wt: 2:   12 Real Number Additive Inverses or Negatives
  344.    wt: 2:   11 Real Number Addition
  345.    wt: 2:   8 Coordinates for Maps and Planes
  346.    wt: 2:   7 Real Numbers as Line Cordinates
  347.    wt: 2:   6 Unsigned Real Numbers
  348.    wt: 2:   5 Rational Numbers More
  349.    wt: 2:   4 Rational Numbers
  350.    wt: 2:   3 Fractions
  351.    wt: 2:   3 Geometric Formulas and Function Notation
  352.    wt: 2:   1 Formulas Dependence and Function Notation
  353.    wt: 2:   Skill Development Notes
  354.    wt: 2:   10 One Example
  355.    wt: 2:   9 Three Examples
  356.    wt: 2:   8 One Example
  357.    wt: 2:   7 Two Examples
  358.    wt: 2:   5 Three Examples
  359.    wt: 2:   4 Two Examples
  360.    wt: 2:   3 Two Examples
  361.    wt: 2:   2 Three Examples
  362.    wt: 2:   8 Sets of Numbers
  363.    wt: 2:   5 Talking about Numbers and Quantities
  364.    wt: 2:   016 Numbering Occidental Calendar Days
  365.    wt: 2:   015 School and work day counting tables
  366.    wt: 2:   012 Division of Time Intervals by Time Intervals
  367.    wt: 2:   010 Repeated Addition of Time Intervals
  368.    wt: 2:   8 Addition of Time Intervals via subtotaling
  369.    wt: 2:   7 Addition of Time Intervals
  370.    wt: 2:   2 Time and Date Matters in School
  371.    wt: 2:   Example 2 volume of a cone
  372.    wt: 2:   Example 1 volume of a pyramid
  373.    wt: 2:   Volume of Solid by Cross Sections Lesson
  374.    wt: 2:   Example 1. Area Between x and x squared
  375.    wt: 2:   Example 4 with x function of y
  376.    wt: 2:   38 Formulas and derivatives for powers and roots
  377.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  378.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  379.    wt: 2:   9 Limits Continuity and Composition
  380.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  381.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  382.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  383.    wt: 2:   Appendix E. How To Study Mathematics and Why
  384.    wt: 2:   Appendix D. What to do in School and Why
  385.    wt: 2:   Chapter 31 Direct and Indirect Reason
  386.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  387.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  388.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  389.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  390.    wt: 2:   Chapter 20. Degrees and Radians
  391.    wt: 2:   Chapter 19. Functions and Sets
  392.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  393.    wt: 2:   Chapter 12. Shorthand Usage Guide
  394.    wt: 2:   Chapter 11. Why Shorthand
  395.    wt: 2:   Chapter 10 Describing and Changing Calculations
  396.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  397.    wt: 2:   Chapter 8 Three Skills For Algebra
  398.    wt: 2:   Chapter 6 Change of Language
  399.    wt: 2:   Chapter 4 Longer Chains of Reason
  400.    wt: 2:   Chapter 3 Chains of Reason
  401.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  402.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  403.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  404.    wt: 2:   R Why Learn Mathematics Skills
  405.    wt: 2:   O On Learning Mathematics and Science
  406.    wt: 2:   L Skills with take home value
  407.    wt: 2:   N Improving Marks on Tests and Finals
  408.    wt: 2:   J. More on written work and showing skill
  409.    wt: 2:   H Jigsaw puzzles and problem solving
  410.    wt: 2:   G. Written work formats for developing and showing skill
  411.    wt: 2:   E. When and how to correct errors
  412.    wt: 2:   C. Domino effect of being careful
  413.    wt: 2:   B. Domino effect of errors
  414.    wt: 1:   Appendix 1 primary and preschool mathematic
  415.    wt: 1:   G LAMP Introduction Problem Solving Skills
  416.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  417.    wt: 1:   Skills Chapter 5 Calculus
  418.    wt: 1:   Skills Chapter 4 Logic
  419.    wt: 1:   Skills Chapter 3 Algebra
  420.    wt: 1:   Skills Chapter 2 Geometry
  421.    wt: 1:   Skills Chapter 1 Arithmetic
  422.    wt: 1:   Skills Chapter 0 Introduction
  423.    wt: 1:   7 logic review and decimals an odd combination
  424.    wt: 1:   5 logarithms and exponentials etc
  425.    wt: 1:   2 arithmetic with signed numbers
  426.    wt: 1:   1 arithmetic with unsigned numbers
  427.    wt: 1:   key notes and themes
  428.    wt: 1:   Mathematics Education Professors
  429.    wt: 1:   what should be learnt and When
  430.    wt: 1:   standards for course material
  431.    wt: 1:   Education in mathematics science and technology
  432.    wt: 1:   Different Kinds of Reasoning in maths
  433.    wt: 1:   three kinds of reason in mathematics
  434.    wt: 1:   Motivation and Context Problem
  435.    wt: 1:   fairness and inductive principles for instruction
  436.    wt: 1:   E Kirchoffs Second Law
  437.    wt: 1:   D Kirchoff First Law
  438.    wt: 1:   Home Tutoring and Home Schooling
  439.    wt: 1:   24 Standards For Skill Develoment Take II
  440.    wt: 1:   24 Standards For Skill Develoment
  441.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  442.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  443.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  444.    wt: 1:   17 Math Booklets for children and young teenagers
  445.    wt: 1:   14 Multiplication and Times Tables
  446.    wt: 1:   13 Addition and Addition Tables
  447.    wt: 1:   12 Goals and Objectives For Mathematics
  448.    wt: 1:   11 Help and Defend Your Child or Teens Education
  449.    wt: 1:   8 The Effect of Negative Remarks
  450.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  451.    wt: 1:   5 Patience Please for Yourself and Your Charges
  452.    wt: 1:   4 Learning Takes Time and Effort
  453.    wt: 1:   1 Speaking Skills
  454.    wt: 1:   Ages 12 to 14 Geometry
  455.    wt: 1:   Ages 12 to 14 Arithmetic
  456.    wt: 1:   Ages 10 to 12 Geometry
  457.    wt: 1:   Ages 10 to 12 Arithmetic
  458.    wt: 1:   Ages 9 to 10
  459.    wt: 1:   Ages 8 to 9
  460.    wt: 1:   Ages 7 to 8
  461.    wt: 1:   Ages 6 to 7
  462.    wt: 1:   Ages 4 plus to 5 plus
  463.    wt: 1:   Ages 3 plus to 4 plus
  464.    wt: 1:   26 Function definitions done and coming
  465.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  466.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  467.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  468.    wt: 1:   19 Horizontal line rule and method
  469.    wt: 1:   18 Vertical Line Rule and Method
  470.    wt: 1:   17 Function maxima minima and their location
  471.    wt: 1:   15 Sign analysis of functions
  472.    wt: 1:   11 Function Domain Range Source and Targets
  473.    wt: 1:   9 Set theory term relation possible origins
  474.    wt: 1:   6 Set Existence Formation and Notation
  475.    wt: 1:   4 Function notation in and beyond mathematics
  476.    wt: 1:   2 Algebraic use of function notation
  477.    wt: 1:   1 Geometric Introduction of Function Notation
  478.    wt: 1:   9 quadratics physical and further context
  479.    wt: 1:   8 quadratics backward use of various formulas
  480.    wt: 1:   4 quadratics difference of two squares
  481.    wt: 1:   11 Growth and Decay in Biology
  482.    wt: 1:   10 Exponential Growth and Decay Models
  483.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  484.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  485.    wt: 1:   2 Square Root Simplification a prequel
  486.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  487.    wt: 1:   16 cotangent function Definition Graph and Inverse
  488.    wt: 1:   15 cosecant function Definition Graph and Inverse
  489.    wt: 1:   14 secant function Definition Graph and Inverse
  490.    wt: 1:   13 cosecant function Definition Graph and Inverse
  491.    wt: 1:   11 arctan left inverse of tangent Graph
  492.    wt: 1:   10 arctan left inverse of tangent Definition
  493.    wt: 1:   8 arcsin left inverse of sine Graph
  494.    wt: 1:   7 arcsin left inverse of sine Definition
  495.    wt: 1:   6 Graph of arccos function
  496.    wt: 1:   3 Left Inverse of cosine arccos definition
  497.    wt: 1:   7 Radian Measures in special Triangles
  498.    wt: 1:   6 Radian Measure to Degrees
  499.    wt: 1:   5 Degrees to Radian Measure
  500.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  501.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  502.    wt: 1:   A Global Time and Navigation
  503.    wt: 1:   15 Dot and Cross Product
  504.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  505.    wt: 1:   4 graphing y=Asin(x c)
  506.    wt: 1:   3 graphing y=f(x c) plus K
  507.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  508.    wt: 1:   1 graphing y=f(x a)
  509.    wt: 1:   Triangle Angles Sum To 180 Degrees
  510.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  511.    wt: 1:   Straight Lines ASA Intersection Study More
  512.    wt: 1:   Straight Lines ASA Intersection Study
  513.    wt: 1:   Straight Lines Instersection Solving Equations
  514.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  515.    wt: 1:   C Straight Lines Slope from Coordinates
  516.    wt: 1:   B Straight Line Slope Scaling Properties More
  517.    wt: 1:   A Straight Line Slope Scaling Properties
  518.    wt: 1:   14 Straight Lines Equations General Case
  519.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  520.    wt: 1:   12 Straight Lines Graphing mx plus b
  521.    wt: 1:   11 Straight Lines Graphing y=mx
  522.    wt: 1:   10 Straight Lines through Origin Equations More
  523.    wt: 1:   9 Straight Lines through Origin Equations
  524.    wt: 1:   8 Straight Lines Equation for vertical
  525.    wt: 1:   7 Tangent Function is odd on this domain
  526.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  527.    wt: 1:   5 Tangent Function Graph
  528.    wt: 1:   4 Tangent Function Properties
  529.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  530.    wt: 1:   1 Straight Lines Slope Concept
  531.    wt: 1:   32 seven rows of pascals triangle
  532.    wt: 1:   30 unit circle calculation of six trigonometric functions
  533.    wt: 1:   29 secant cosecant and cotangent for acute angles
  534.    wt: 1:   28 Expressing products of sines cosines as sums
  535.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  536.    wt: 1:   21 sine and cosine Half Angle Formulas
  537.    wt: 1:   20 sine and cosine Double Angle Formulas
  538.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  539.    wt: 1:   18 sum of sinusoidal waves as a single wave
  540.    wt: 1:   17F Law of cosines
  541.    wt: 1:   17E Trig Formulas for dot and cross Products
  542.    wt: 1:   17D cis formulas for sine cosines and tangent
  543.    wt: 1:   17C sine and cosine double triple angle formulas
  544.    wt: 1:   17A The complex number valued trig function cis
  545.    wt: 1:   13 Graph of tangent function many periods
  546.    wt: 1:   12 Graph of tangent function for one period
  547.    wt: 1:   8 period of tangent function
  548.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  549.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  550.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  551.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  552.    wt: 1:   Unit Circle Development of Trigonometry
  553.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  554.    wt: 1:   15 Pythagorean Theorem Converse
  555.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  556.    wt: 1:   7 Second Way to Calculate Products
  557.    wt: 1:   4 Multiplication Properties
  558.    wt: 1:   3 Addition Properties
  559.    wt: 1:   1 Rectangular Polar Coordinates Review
  560.    wt: 1:   8 Triangles Cascade Problem Solving
  561.    wt: 1:   1 Angle Measurement with Degrees
  562.    wt: 1:   Why Trigonometry the whyslopes view
  563.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  564.    wt: 1:   9 Similarity of Triangles Usual Criteria
  565.    wt: 1:   1 Early Concept of Like or Similar Shapes
  566.    wt: 1:   Four Simple Exercises
  567.    wt: 1:   12 Links Lessons elsewhere
  568.    wt: 1:   11 A Partial Summary
  569.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  570.    wt: 1:   8 Mid Point Formula
  571.    wt: 1:   4 Equations for lines three forms
  572.    wt: 1:   3 Slope product for perpendicular lines
  573.    wt: 1:   2 point slope equation for a line
  574.    wt: 1:   13 Pythagorean spatial distance formulas
  575.    wt: 1:   12 Spatial Coordinates
  576.    wt: 1:   11 Triangle Inequality
  577.    wt: 1:   10 Pythagorean plane distance formula
  578.    wt: 1:   8 Distance Between Points on a Line
  579.    wt: 1:   3 Rectangular Coordinates Review
  580.    wt: 1:   2 Cartesian Coordinates with signs
  581.    wt: 1:   1 Cartesian Coordinates sans signs
  582.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  583.    wt: 1:   PS G Rotation Distributes over Addition
  584.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  585.    wt: 1:   PS E Multiplication with Polar Coordinates
  586.    wt: 1:   PS D Addition with Cartesian Coordinates
  587.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  588.    wt: 1:   PS B Parallelogram Construction Methods
  589.    wt: 1:   PS A Kite Construction Methods
  590.    wt: 1:   21 Parallelograms
  591.    wt: 1:   19 Right Triangle Similarity
  592.    wt: 1:   18 Triangle Similarity Take 1
  593.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  594.    wt: 1:   14 Parallel Lines Postulate
  595.    wt: 1:   13 Angle Side Angle Failure
  596.    wt: 1:   12 Side Angle Side Failure
  597.    wt: 1:   11 Triangle Construction Fails
  598.    wt: 1:   10 Dropping a perpendicular to line
  599.    wt: 1:   8 Isoceles Triangles
  600.    wt: 1:   7 Angle Side Angle
  601.    wt: 1:   5 Side Angle Side
  602.    wt: 1:   4 Side Side Side
  603.    wt: 1:   2 Correspondence between Triangles
  604.    wt: 1:   Short Course on Euclidean Geometry
  605.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  606.    wt: 1:   26 More Less Greater Than Comparison
  607.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  608.    wt: 1:   23 Distributive Law Two Derivations
  609.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  610.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  611.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  612.    wt: 1:   15 Head to Tails in place Addition Associative
  613.    wt: 1:   9 Division with Digits after Decimal Point
  614.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  615.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  616.    wt: 1:   2 Counting Digits in Decimal Multiplication
  617.    wt: 1:   4 Fraction Operations Axiomatic Development
  618.    wt: 1:   3 Inequalities Algebraically
  619.    wt: 1:   2 Fraction Operations Physical Development
  620.    wt: 1:   3 Proportionality Examples
  621.    wt: 1:   2 Algebraic View
  622.    wt: 1:   1 What is Proportionality
  623.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  624.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  625.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  626.    wt: 1:   5 Equality in Algebra
  627.    wt: 1:   3 Product Axioms Two Forms
  628.    wt: 1:   1 Equivalent Computation Rules
  629.    wt: 1:   5 Greater More Less Than Signs in General
  630.    wt: 1:   9 Coordinates for Regions in Space
  631.    wt: 1:   2 Integers
  632.    wt: 1:   5 Independent versus Dependent Variables
  633.    wt: 1:   4 Changing Letters
  634.    wt: 1:   2 Computation Rules Evaluation
  635.    wt: 1:   3 GE III Equation Addition and Multiplication
  636.    wt: 1:   6 Algebraic Solution Example
  637.    wt: 1:   11 Volume of Sphere
  638.    wt: 1:   10 Volume of Pyramid
  639.    wt: 1:   9 Volume of Cone
  640.    wt: 1:   8 Compound Interest Formula Evaluation
  641.    wt: 1:   7 Compound Interest Formula Introduction
  642.    wt: 1:   1 Written work formats for developing and showing skill
  643.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  644.    wt: 1:   9 Sets in Probability and Statistics
  645.    wt: 1:   6 Three Notions of What is a Variable
  646.    wt: 1:   1 Three Skills For Algebra
  647.    wt: 1:   014 Counting Days with Calendars
  648.    wt: 1:   013 Travel Time Tables
  649.    wt: 1:   6 How long is a million seconds
  650.    wt: 1:   5 Conversion Arithmetic
  651.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  652.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  653.    wt: 1:   Example 3
  654.    wt: 1:   Example 2
  655.    wt: 1:   Example 1
  656.    wt: 1:   Area Between Curves Lesson Take 2
  657.    wt: 1:   Area Between Curves Lesson Take 1
  658.    wt: 1:   Summary
  659.    wt: 1:   34 Derivative of exponential function
  660.    wt: 1:   31 Derivatives of inverse functions
  661.    wt: 1:   30Chain Rule A Proof
  662.    wt: 1:   28 Chain Rule Preparation for a Proof
  663.    wt: 1:   15 sine and cosine derivatives 3rd step
  664.    wt: 1:   14 sine and cosine derivatives 2nd step
  665.    wt: 1:   13 sine and cosine derivatives 1st step
  666.    wt: 1:   8 Differentiation of polynomials
  667.    wt: 1:   11 Limits at infinity Three Examples
  668.    wt: 1:   10 Three one sided limits with infinite values
  669.    wt: 1:   8 Four Animated Examples
  670.    wt: 1:   7 Evaluation by immediate or delayed substitution
  671.    wt: 1:   6 Continuity at a point
  672.    wt: 1:   4 Numerical properties
  673.    wt: 1:   3 Decimal insights for limits continuity convergence
  674.    wt: 1:   2 Algebraic codification
  675.    wt: 1:   1 Numerical introduction
  676.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  677.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  678.    wt: 1:   G.3 Constant Difference Theorem Proof
  679.    wt: 1:   E2 Algebraic Properties of Limits
  680.    wt: 1:   D2 Limits of Monotone Sequences
  681.    wt: 1:   PostScript For and Against Decimal Perspectives
  682.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  683.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  684.    wt: 1:   Chapter 22 Complex Numbers
  685.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  686.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  687.    wt: 1:   Chapter 12. Units and Slopes
  688.    wt: 1:   Chapter 10 Slopes and Units
  689.    wt: 1:   Chapter 7 Slopes and Velocity
  690.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  691.    wt: 1:   Chapter 2. Slopes and Ski Trails
  692.    wt: 1:   Postscript More on Better Performance
  693.    wt: 1:   Postscript For Better Performance
  694.    wt: 1:   Appendix C. How to Read
  695.    wt: 1:   Appendix B. How To Learn
  696.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  697.    wt: 1:   Chapter 30 Truth Tables
  698.    wt: 1:   Chapter 28 Occurrence Tables
  699.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  700.    wt: 1:   Chapter 25. Mathematical Induction Examples
  701.    wt: 1:   Chapter 25. Mathematical Induction Examples
  702.    wt: 1:   Chapter 23. Notation For Sums
  703.    wt: 1:   Chapter 21. Third Reading Guide
  704.    wt: 1:   Chapter 18. Rules for Algebra
  705.    wt: 1:   Chapter 16. Painless Theorem Proving
  706.    wt: 1:   Chapter 15. Solving Linear Equations
  707.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  708.    wt: 1:   Chapter 13. Second Reading Guide
  709.    wt: 1:   Postscript What is a Variable
  710.    wt: 1:   Solutions For Arithmetic Exercises
  711.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  712.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  713.    wt: 1:   Foreword
  714.    wt: 1:   Chapter 7 Two Treatments of Geometry
  715.    wt: 1:   Chapter 2 For and Against Mathematics
  716.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  717.    wt: 1:   Postscript B More on Story Telling and Reason
  718.    wt: 1:   Chapter 24 Direct and Indirect Reason
  719.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  720.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  721.    wt: 1:   Chapter 18 Sense and Knowledge
  722.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  723.    wt: 1:   Chapter 8 Change of Language
  724.    wt: 1:   Chapter 7 Longer Chains of Reason
  725.    wt: 1:   Chapter 6 Chains of Reason
  726.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  727.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  728.    wt: 1:   S Adding words to algebra
  729.    wt: 1:   N Mathematics Prepare for College Studies
  730.    wt: 1:   M Words to extend arithmetic
  731.    wt: 1:   H more Routine to non routine problem solving
  732.    wt: 1:   F. The student teacher tutor feedback loop
  733.    wt: 1:   D. Check work a must with a caution
  734.    wt: 1:   A. Skill has to be seen to believed
  735.    wt: 1:   Helping the Blind in Logic and Mathematics
  736.    wt: 1:   More Algebra and Slope based Calculus Preview
  737.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  738.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  739.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  740.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  741.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  742.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  743.    wt: 13:   10 Simplification of Fractions and Mixed Numerals
  744.    wt: 12:   B Fractions and Two Term Ratios
  745.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  746.    wt: 12:   9 Improper Fractions and Mixed Numbers
  747.    wt: 11:   22 Complex Compound Fractions
  748.    wt: 11:   21 Reciprocals for Fractions and Wholes
  749.    wt: 10:   3 Comparison of Negative Numbers
  750.    wt: 10:   1 More and Less Than for Counts and Measures
  751.    wt: 10:   6 Simplification of Fractions with Units
  752.    wt: 10:   D Three Term Ratios
  753.    wt: 10:   20 Dividing Fractions the Why
  754.    wt: 10:   19 Dividing Fractions How TO
  755.    wt: 10:   17 Efficient Ways to Add and Subtract
  756.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  757.    wt: 10:   14 Adding and Subtracting with Like Denominators
  758.    wt: 10:   11 Simplification an Algebraic View
  759.    wt: 10:   5 Equivalent Fractions
  760.    wt: 10:   3 Unit fraction of a fraction

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.