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:   D Decimal Long Division Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  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

473 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:   5 Reciprocals and Division for Fractions with Units
  4.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  5.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  6.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  7.    wt: 3:   27 Logarithmic use of products of sines and cosines
  8.    wt: 3:   4 A Brief Story of numbers and algebra
  9.    wt: 3:   5 lengths and signs of numbers
  10.    wt: 3:   B Fractions and Two Term Ratios
  11.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  12.    wt: 3:   21 Reciprocals for Fractions and Wholes
  13.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  14.    wt: 3:   9 Improper Fractions and Mixed Numbers
  15.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  16.    wt: 3:   Quick history of numbers and algebra
  17.    wt: 3:   011 Division of Time Intervals By Numbers
  18.    wt: 3:   17 Derivatives of quotients of sine and cosine
  19.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  20.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  21.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  22.    wt: 2:   Ramblings Extrinsic numbers theory
  23.    wt: 2:   Theory of Knowledge
  24.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  25.    wt: 2:   2 Reading and Writing Skills
  26.    wt: 2:   8 Set view of relations and functions
  27.    wt: 2:   4 Resultant of a Sum of Movements
  28.    wt: 2:   Vector and Complex Number Applet
  29.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  30.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  31.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  32.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  33.    wt: 2:   26 Formulas for products of sines and cosines
  34.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  35.    wt: 2:   14 cosine even and sine and tangent are odd
  36.    wt: 2:   10 Graphs of sines and cosines many periods
  37.    wt: 2:   9 Graphs of sine and cosine over one period
  38.    wt: 2:   7 period of sine and cosine
  39.    wt: 2:   20 N th Roots of Complex Numbers
  40.    wt: 2:   6 Field Properties of Complex Number
  41.    wt: 2:   5 An Easy Proof of the Distributive Law
  42.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  43.    wt: 2:   3 Trigonometric Ratios sine and cosine
  44.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  45.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  46.    wt: 2:   8 Similarity of Triangles and Polygons
  47.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  48.    wt: 2:   10 Midpoint of [a b] and [b a]
  49.    wt: 2:   1 Numerical view of lines and their equations
  50.    wt: 2:   3 Lengths and Areas on Maps and Plans
  51.    wt: 2:   22 Multiplication of Signed Numbers
  52.    wt: 2:   21 Addition of Multiples of a Single Vector
  53.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  54.    wt: 2:   11 Signed Number Addition and Addition Properties
  55.    wt: 2:   2 Combing Counts Addition Skills and Principles
  56.    wt: 2:   1 The Counting Origins of Numbers
  57.    wt: 2:   4 Rates Ratios and Proporitionality
  58.    wt: 2:   4 Subtraction and Division Axioms
  59.    wt: 2:   4 Comparison of Negative Numbers
  60.    wt: 2:   2 More and Less Than for Counts and Measures
  61.    wt: 2:   15 Real Number Division
  62.    wt: 2:   10 Real Number Lengths and Signs
  63.    wt: 2:   1 Whole and Natural Numbers
  64.    wt: 2:   8 Sets of Numbers
  65.    wt: 2:   5 Talking about Numbers and Quantities
  66.    wt: 2:   3 Comparison of Negative Numbers
  67.    wt: 2:   1 More and Less Than for Counts and Measures
  68.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  69.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  70.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  71.    wt: 2:   4 LCM of 8 and 10 via Prime
  72.    wt: 2:   11 What are real lengths and numbers
  73.    wt: 2:   2 signed and unsigned numbers as coordinates
  74.    wt: 2:   6 Simplification of Fractions with Units
  75.    wt: 2:   3 Multiplying Units and Numbers
  76.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  77.    wt: 2:   Division with Counts and Length
  78.    wt: 2:   Long Division forwards and backwards Example 3
  79.    wt: 2:   Long Division forwards and backwards Example 2
  80.    wt: 2:   Long Division forwards and backwards Example 1
  81.    wt: 2:   10 Division by Five Long and Short Ways
  82.    wt: 2:   8 What skills and work habits to require
  83.    wt: 2:   6. Counting and adding units and mixed units
  84.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  85.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  86.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  87.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  88.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  89.    wt: 2:   Exact Arithmetic Wholes and Fractions
  90.    wt: 2:   012 Division of Time Intervals by Time Intervals
  91.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  92.    wt: 2:   4 Mixing and Changing Units of Time
  93.    wt: 2:   3 Units and Lengths of Time
  94.    wt: 2:   1 Intro of Kids To Time Date Skills
  95.    wt: 2:   38 Formulas and derivatives for powers and roots
  96.    wt: 2:   5 Jumps and absence of unlimited error control
  97.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  98.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  99.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  100.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  101.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  102.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  103.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  104.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  105.    wt: 2:   I. Logic and language skills
  106.    wt: 2:   How to Build Skills and Confidence
  107.    wt: 1:   Appendix 1 primary and preschool mathematic
  108.    wt: 1:   G LAMP Introduction Problem Solving Skills
  109.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  110.    wt: 1:   Skills Chapter 5 Calculus
  111.    wt: 1:   Skills Chapter 4 Logic
  112.    wt: 1:   Skills Chapter 3 Algebra
  113.    wt: 1:   Skills Chapter 2 Geometry
  114.    wt: 1:   Skills Chapter 1 Arithmetic
  115.    wt: 1:   Skills Chapter 0 Introduction
  116.    wt: 1:   7 logic review and decimals an odd combination
  117.    wt: 1:   5 logarithms and exponentials etc
  118.    wt: 1:   2 arithmetic with signed numbers
  119.    wt: 1:   1 arithmetic with unsigned numbers
  120.    wt: 1:   key notes and themes
  121.    wt: 1:   Mathematics Education Professors
  122.    wt: 1:   what should be learnt and When
  123.    wt: 1:   standards for course material
  124.    wt: 1:   Education in mathematics science and technology
  125.    wt: 1:   Different Kinds of Reasoning in maths
  126.    wt: 1:   three kinds of reason in mathematics
  127.    wt: 1:   Motivation and Context Problem
  128.    wt: 1:   fairness and inductive principles for instruction
  129.    wt: 1:   chapitre 12 00 les iles et division
  130.    wt: 1:   E Kirchoffs Second Law
  131.    wt: 1:   D Kirchoff First Law
  132.    wt: 1:   Home Tutoring and Home Schooling
  133.    wt: 1:   24 Standards For Skill Develoment Take II
  134.    wt: 1:   24 Standards For Skill Develoment
  135.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  136.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  137.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  138.    wt: 1:   17 Math Booklets for children and young teenagers
  139.    wt: 1:   14 Multiplication and Times Tables
  140.    wt: 1:   13 Addition and Addition Tables
  141.    wt: 1:   12 Goals and Objectives For Mathematics
  142.    wt: 1:   11 Help and Defend Your Child or Teens Education
  143.    wt: 1:   8 The Effect of Negative Remarks
  144.    wt: 1:   5 Patience Please for Yourself and Your Charges
  145.    wt: 1:   4 Learning Takes Time and Effort
  146.    wt: 1:   1 Speaking Skills
  147.    wt: 1:   Ages 12 to 14 Skills with take home value
  148.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  149.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  150.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  151.    wt: 1:   26 Function definitions done and coming
  152.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  153.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  154.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  155.    wt: 1:   19 Horizontal line rule and method
  156.    wt: 1:   18 Vertical Line Rule and Method
  157.    wt: 1:   17 Function maxima minima and their location
  158.    wt: 1:   15 Sign analysis of functions
  159.    wt: 1:   11 Function Domain Range Source and Targets
  160.    wt: 1:   9 Set theory term relation possible origins
  161.    wt: 1:   6 Set Existence Formation and Notation
  162.    wt: 1:   4 Function notation in and beyond mathematics
  163.    wt: 1:   2 Algebraic use of function notation
  164.    wt: 1:   1 Geometric Introduction of Function Notation
  165.    wt: 1:   9 quadratics physical and further context
  166.    wt: 1:   8 quadratics backward use of various formulas
  167.    wt: 1:   4 quadratics difference of two squares
  168.    wt: 1:   11 Growth and Decay in Biology
  169.    wt: 1:   10 Exponential Growth and Decay Models
  170.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  171.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  172.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  173.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  174.    wt: 1:   4 Polynomials Long division linear divisor
  175.    wt: 1:   16 cotangent function Definition Graph and Inverse
  176.    wt: 1:   15 cosecant function Definition Graph and Inverse
  177.    wt: 1:   14 secant function Definition Graph and Inverse
  178.    wt: 1:   13 cosecant function Definition Graph and Inverse
  179.    wt: 1:   11 arctan left inverse of tangent Graph
  180.    wt: 1:   10 arctan left inverse of tangent Definition
  181.    wt: 1:   8 arcsin left inverse of sine Graph
  182.    wt: 1:   7 arcsin left inverse of sine Definition
  183.    wt: 1:   6 Graph of arccos function
  184.    wt: 1:   3 Left Inverse of cosine arccos definition
  185.    wt: 1:   9 Summary Degrees to Radians and back
  186.    wt: 1:   8 Radian Measures of Common Angles
  187.    wt: 1:   2 Radian Measure Numerical Value of one degree
  188.    wt: 1:   1 Degrees and Radians Introduction
  189.    wt: 1:   A Global Time and Navigation
  190.    wt: 1:   15 Dot and Cross Product
  191.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  192.    wt: 1:   Parallel Lines and Parallel Transversals
  193.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  194.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  195.    wt: 1:   Parallel Lines and Interior Angles
  196.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  197.    wt: 1:   Straight Lines Intersection of
  198.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  199.    wt: 1:   32 seven rows of pascals triangle
  200.    wt: 1:   30 unit circle calculation of six trigonometric functions
  201.    wt: 1:   29 secant cosecant and cotangent for acute angles
  202.    wt: 1:   28 Expressing products of sines cosines as sums
  203.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  204.    wt: 1:   21 sine and cosine Half Angle Formulas
  205.    wt: 1:   20 sine and cosine Double Angle Formulas
  206.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  207.    wt: 1:   18 sum of sinusoidal waves as a single wave
  208.    wt: 1:   17F Law of cosines
  209.    wt: 1:   17E Trig Formulas for dot and cross Products
  210.    wt: 1:   17D cis formulas for sine cosines and tangent
  211.    wt: 1:   17C sine and cosine double triple angle formulas
  212.    wt: 1:   17A The complex number valued trig function cis
  213.    wt: 1:   13 Graph of tangent function many periods
  214.    wt: 1:   12 Graph of tangent function for one period
  215.    wt: 1:   8 period of tangent function
  216.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  217.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  218.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  219.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  220.    wt: 1:   Unit Circle Development of Trigonometry
  221.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  222.    wt: 1:   21 Logarithms Powers and Exponentials
  223.    wt: 1:   19 N th Roots of Unity
  224.    wt: 1:   18 Sixth Roots of Unity
  225.    wt: 1:   17 Cube Roots of unity
  226.    wt: 1:   16 References and Originality Question
  227.    wt: 1:   14 Law of cosines
  228.    wt: 1:   13 Trig Formulas for dot and cross Products
  229.    wt: 1:   12 cis formulas for sine cosines and tangent
  230.    wt: 1:   11 sine and cosine double triple angle formulas
  231.    wt: 1:   9 The complex number valued trig function cis
  232.    wt: 1:   8 Unit Circle Development of Trigonometry
  233.    wt: 1:   2 Complex Numbers made easier we hope
  234.    wt: 1:   Appetizer A Complex Number Applet
  235.    wt: 1:   7 Trignometric Ratios Unit Circle
  236.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  237.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  238.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  239.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  240.    wt: 1:   9 Similarity of Triangles Usual Criteria
  241.    wt: 1:   1 Early Concept of Like or Similar Shapes
  242.    wt: 1:   7 Exercises to test skill and concept mastery
  243.    wt: 1:   6 Intersection of lines by solving linear systems
  244.    wt: 1:   5 Algebraic View of Slopes
  245.    wt: 1:   What is and is not here
  246.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  247.    wt: 1:   7 Complex Numbers Appetizer
  248.    wt: 1:   6 Polar Multiplication and Rotation
  249.    wt: 1:   5 Cartesian Addition and Translation
  250.    wt: 1:   4 Polar Coordinates to and from
  251.    wt: 1:   PS H Distributive Law For Complex Numbers
  252.    wt: 1:   17 Right Bisectors of Triangle Sides
  253.    wt: 1:   16 Angles Subtended By Chords and Diameters
  254.    wt: 1:   9 Construction of a right bisector
  255.    wt: 1:   6 Ruler and compass Angle Bisection
  256.    wt: 1:   3 Isometry of Triangles Congruence
  257.    wt: 1:   1 Initial Concepts and Terms
  258.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  259.    wt: 1:   musings do not puiblish real numbers
  260.    wt: 1:   A Modular and Remainder Arithmetic
  261.    wt: 1:   A Signed Number Arithmetic Review
  262.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  263.    wt: 1:   19 Signed Multiples of Vectors
  264.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  265.    wt: 1:   13 Arrows and Vectors in a Plane
  266.    wt: 1:   12 Real Numbers Line Signed Coordinates
  267.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  268.    wt: 1:   9 Division with Digits after Decimal Point
  269.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  270.    wt: 1:   4 Location of Point in Decimal Addition
  271.    wt: 1:   3 Location of Point in Decimal Multiplication
  272.    wt: 1:   1 Fractions with Finite Decimal Expansions
  273.    wt: 1:   E Long Division Methods more
  274.    wt: 1:   D Long Division Methods
  275.    wt: 1:   B Decimal Comparison and Subtraction
  276.    wt: 1:   5 Distributive Law for Whole Numbers
  277.    wt: 1:   3 Multiplicative Counting Skills Principles
  278.    wt: 1:   5 Areas of Rectangles Revisited
  279.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  280.    wt: 1:   5 Proportionality in Equivalent Fractions
  281.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  282.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  283.    wt: 1:   6 Compound Interest Forward and Backwards
  284.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  285.    wt: 1:   6 Equations and Systems Equivalent or Implied
  286.    wt: 1:   2 Addition and Multiplication Axioms
  287.    wt: 1:   3 More and Less Than with Unlike Signs
  288.    wt: 1:   1 Real Numbers Comparison
  289.    wt: 1:   16 Real Numbers Comparison
  290.    wt: 1:   14 Real Number Multiplication
  291.    wt: 1:   13 Real Number Subtraction
  292.    wt: 1:   12 Real Number Additive Inverses or Negatives
  293.    wt: 1:   11 Real Number Addition
  294.    wt: 1:   8 Coordinates for Maps and Planes
  295.    wt: 1:   7 Real Numbers as Line Cordinates
  296.    wt: 1:   6 Unsigned Real Numbers
  297.    wt: 1:   5 Rational Numbers More
  298.    wt: 1:   4 Rational Numbers
  299.    wt: 1:   3 Fractions
  300.    wt: 1:   3 Geometric Formulas and Function Notation
  301.    wt: 1:   1 Formulas Dependence and Function Notation
  302.    wt: 1:   3 GE III Equation Addition and Multiplication
  303.    wt: 1:   11 Volume of Sphere
  304.    wt: 1:   10 Volume of Pyramid
  305.    wt: 1:   9 Volume of Cone
  306.    wt: 1:   1 Written work formats for developing and showing skill
  307.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  308.    wt: 1:   9 Sets in Probability and Statistics
  309.    wt: 1:   6 Three Notions of What is a Variable
  310.    wt: 1:   1 Three Skills For Algebra
  311.    wt: 1:   2 More and Less Than with Unlike Signs
  312.    wt: 1:   3 Properties of Square Roots with example
  313.    wt: 1:   1 Squares and Square Roots Introduction
  314.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  315.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  316.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  317.    wt: 1:   7 GCD and LCM from prime factorization
  318.    wt: 1:   3 Counting with Tables and Trees II
  319.    wt: 1:   2 Counting with Tables and Trees I
  320.    wt: 1:   1 Counting and Counting Methods I
  321.    wt: 1:   10 dividing signed numbers
  322.    wt: 1:   9 subtracting signed numbers
  323.    wt: 1:   8 multiplying signed numbers
  324.    wt: 1:   7 negative and additive inverse
  325.    wt: 1:   6 adding signed numbers
  326.    wt: 1:   3 signed coordinates for maps and planes
  327.    wt: 1:   4 Fractions with Units
  328.    wt: 1:   2 Equality and Units
  329.    wt: 1:   1 Addition and Subtraction with Units
  330.    wt: 1:   D Three Term Ratios
  331.    wt: 1:   22 Complex Compound Fractions
  332.    wt: 1:   20 Dividing Fractions the Why
  333.    wt: 1:   19 Dividing Fractions How TO
  334.    wt: 1:   17 Efficient Ways to Add and Subtract
  335.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  336.    wt: 1:   14 Adding and Subtracting with Like Denominators
  337.    wt: 1:   5 Equivalent Fractions
  338.    wt: 1:   3 Unit fraction of a fraction
  339.    wt: 1:   B Integer Long Division Multiple Choices
  340.    wt: 1:   11 Adding Integers Formulas and Examples
  341.    wt: 1:   8 Multiplication by Signed Numbers Integers
  342.    wt: 1:   6 Multiplication by Natural Numbers
  343.    wt: 1:   5 Zero Movement and Additive Inverses
  344.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  345.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  346.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  347.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  348.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  349.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  350.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  351.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  352.    wt: 1:   20 Uniqueness of Prime Factorization
  353.    wt: 1:   17 Identify and Count Factors using Primes
  354.    wt: 1:   16 video Factors of 980 using prime
  355.    wt: 1:   15 video Factors of 20 using Prime Factorization
  356.    wt: 1:   14 video Factors of 24 Take II
  357.    wt: 1:   13 video Factors of 24 using prime
  358.    wt: 1:   12 LCD GCD and LCM using Primes
  359.    wt: 1:   7 Calculator Usage Notes and Cautions
  360.    wt: 1:   5 Prime Factorization and a Square Rule
  361.    wt: 1:   3 video Primes and Composites from 9 times table
  362.    wt: 1:   2 Prime and Composites less than 16
  363.    wt: 1:   Long Division Backwards more
  364.    wt: 1:   Long Division Backward
  365.    wt: 1:   12 Why Long Division Works Take III
  366.    wt: 1:   9 Why Long Division Works Take II
  367.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  368.    wt: 1:   5 Long Division Include Zeroes or not
  369.    wt: 1:   4 Division with 2 Digit Divsors
  370.    wt: 1:   3 Division Single Digit Divisor Example
  371.    wt: 1:   2 Division with Single Digit Divisors
  372.    wt: 1:   C Counting Areas with Powers of Ten
  373.    wt: 1:   B Powers of Ten
  374.    wt: 1:   4 Two and Three Digit Multipliers
  375.    wt: 1:   8 Subtraction with Units of Measure
  376.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  377.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  378.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  379.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  380.    wt: 1:   7 Adding decimal fractions using decimal point
  381.    wt: 1:   11 Place Value SI Standard International way
  382.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  383.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  384.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  385.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  386.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  387.    wt: 1:   016 Numbering Occidental Calendar Days
  388.    wt: 1:   015 School and work day counting tables
  389.    wt: 1:   010 Repeated Addition of Time Intervals
  390.    wt: 1:   8 Addition of Time Intervals via subtotaling
  391.    wt: 1:   7 Addition of Time Intervals
  392.    wt: 1:   2 Time and Date Matters in School
  393.    wt: 1:   Example 2 volume of a cone
  394.    wt: 1:   Example 1 volume of a pyramid
  395.    wt: 1:   Volume of Solid by Cross Sections Lesson
  396.    wt: 1:   Example 1. Area Between x and x squared
  397.    wt: 1:   Example 4 with x function of y
  398.    wt: 1:   34 Derivative of exponential function
  399.    wt: 1:   31 Derivatives of inverse functions
  400.    wt: 1:   30Chain Rule A Proof
  401.    wt: 1:   28 Chain Rule Preparation for a Proof
  402.    wt: 1:   15 sine and cosine derivatives 3rd step
  403.    wt: 1:   14 sine and cosine derivatives 2nd step
  404.    wt: 1:   13 sine and cosine derivatives 1st step
  405.    wt: 1:   8 Differentiation of polynomials
  406.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  407.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  408.    wt: 1:   9 Limits Continuity and Composition
  409.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  410.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  411.    wt: 1:   G.3 Constant Difference Theorem Proof
  412.    wt: 1:   E2 Algebraic Properties of Limits
  413.    wt: 1:   D2 Limits of Monotone Sequences
  414.    wt: 1:   PostScript For and Against Decimal Perspectives
  415.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  416.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  417.    wt: 1:   Chapter 22 Complex Numbers
  418.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  419.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  420.    wt: 1:   Chapter 12. Units and Slopes
  421.    wt: 1:   Chapter 10 Slopes and Units
  422.    wt: 1:   Chapter 7 Slopes and Velocity
  423.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  424.    wt: 1:   Chapter 2. Slopes and Ski Trails
  425.    wt: 1:   Appendix E. How To Study Mathematics and Why
  426.    wt: 1:   Appendix D. What to do in School and Why
  427.    wt: 1:   Chapter 31 Direct and Indirect Reason
  428.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  429.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  430.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  431.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  432.    wt: 1:   Chapter 20. Degrees and Radians
  433.    wt: 1:   Chapter 19. Functions and Sets
  434.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  435.    wt: 1:   Chapter 12. Shorthand Usage Guide
  436.    wt: 1:   Chapter 11. Why Shorthand
  437.    wt: 1:   Chapter 10 Describing and Changing Calculations
  438.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  439.    wt: 1:   Chapter 8 Three Skills For Algebra
  440.    wt: 1:   Chapter 6 Change of Language
  441.    wt: 1:   Chapter 4 Longer Chains of Reason
  442.    wt: 1:   Chapter 3 Chains of Reason
  443.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  444.    wt: 1:   Chapter 7 Two Treatments of Geometry
  445.    wt: 1:   Chapter 2 For and Against Mathematics
  446.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  447.    wt: 1:   Postscript B More on Story Telling and Reason
  448.    wt: 1:   Chapter 24 Direct and Indirect Reason
  449.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  450.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  451.    wt: 1:   Chapter 18 Sense and Knowledge
  452.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  453.    wt: 1:   Chapter 8 Change of Language
  454.    wt: 1:   Chapter 7 Longer Chains of Reason
  455.    wt: 1:   Chapter 6 Chains of Reason
  456.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  457.    wt: 1:   R Why Learn Mathematics Skills
  458.    wt: 1:   O On Learning Mathematics and Science
  459.    wt: 1:   L Skills with take home value
  460.    wt: 1:   N Improving Marks on Tests and Finals
  461.    wt: 1:   J. More on written work and showing skill
  462.    wt: 1:   H Jigsaw puzzles and problem solving
  463.    wt: 1:   G. Written work formats for developing and showing skill
  464.    wt: 1:   E. When and how to correct errors
  465.    wt: 1:   C. Domino effect of being careful
  466.    wt: 1:   B. Domino effect of errors
  467.    wt: 1:   Helping the Blind in Logic and Mathematics
  468.    wt: 1:   More Algebra and Slope based Calculus Preview
  469.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  470.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  471.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  472.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  473.    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:   6 Simplification of 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:   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:   2 Unit Fraction Multiplication
  16.    wt: 9:   1 What is a fraction Take II
  17.    wt: 9:   1 What is a fraction
  18.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  19.    wt: 8:   4 Greater More Less Than Signs in General
  20.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  21.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  22.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  23.    wt: 8:   4 LCM of 8 and 10 via Prime
  24.    wt: 8:   11 What are real lengths and numbers
  25.    wt: 8:   2 signed and unsigned numbers as coordinates
  26.    wt: 8:   4 Fractions with Units
  27.    wt: 8:   2 Equality and Units
  28.    wt: 8:   1 Addition and Subtraction with Units
  29.    wt: 8:   Division with Counts and Length
  30.    wt: 8:   Long Division forwards and backwards Example 3
  31.    wt: 8:   Long Division forwards and backwards Example 2
  32.    wt: 8:   Long Division forwards and backwards Example 1
  33.    wt: 8:   10 Division by Five Long and Short Ways
  34.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  35.    wt: 8:   8 What skills and work habits to require
  36.    wt: 8:   6. Counting and adding units and mixed units
  37.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  38.    wt: 8:   Quick history of numbers and algebra
  39.    wt: 7:   3 Properties of Square Roots with example
  40.    wt: 7:   1 Squares and Square Roots Introduction
  41.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  42.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  43.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  44.    wt: 7:   7 GCD and LCM from prime factorization
  45.    wt: 7:   3 Counting with Tables and Trees II
  46.    wt: 7:   2 Counting with Tables and Trees I
  47.    wt: 7:   1 Counting and Counting Methods I
  48.    wt: 7:   10 dividing signed numbers
  49.    wt: 7:   9 subtracting signed numbers
  50.    wt: 7:   8 multiplying signed numbers
  51.    wt: 7:   7 negative and additive inverse
  52.    wt: 7:   6 adding signed numbers
  53.    wt: 7:   3 signed coordinates for maps and planes
  54.    wt: 7:   7 Converting or Changing Units
  55.    wt: 7:   6 Multiplication by Natural Numbers
  56.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  57.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  58.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  59.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  60.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  61.    wt: 7:   11 Remainder Arithmetic Long Division by 5 Quickly more
  62.    wt: 7:   10 Remainder Arithmetic Long Division by 5 Quickly
  63.    wt: 7:   20 Uniqueness of Prime Factorization
  64.    wt: 7:   17 Identify and Count Factors using Primes
  65.    wt: 7:   16 video Factors of 980 using prime
  66.    wt: 7:   15 video Factors of 20 using Prime Factorization
  67.    wt: 7:   14 video Factors of 24 Take II
  68.    wt: 7:   13 video Factors of 24 using prime
  69.    wt: 7:   12 LCD GCD and LCM using Primes
  70.    wt: 7:   7 Calculator Usage Notes and Cautions
  71.    wt: 7:   5 Prime Factorization and a Square Rule
  72.    wt: 7:   3 video Primes and Composites from 9 times table
  73.    wt: 7:   2 Prime and Composites less than 16
  74.    wt: 7:   Long Division Backwards more
  75.    wt: 7:   Long Division Backward
  76.    wt: 7:   12 Why Long Division Works Take III
  77.    wt: 7:   9 Why Long Division Works Take II
  78.    wt: 7:   5 Long Division Include Zeroes or not
  79.    wt: 7:   4 Division with 2 Digit Divsors
  80.    wt: 7:   3 Division Single Digit Divisor Example
  81.    wt: 7:   2 Division with Single Digit Divisors
  82.    wt: 7:   8 Subtraction with Units of Measure
  83.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  84.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  85.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  86.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  87.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  88.    wt: 7:   7 Adding decimal fractions using decimal point
  89.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  90.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  91.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  92.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  93.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  94.    wt: 7:   Exact Arithmetic Wholes and Fractions
  95.    wt: 6:   5 Square Roots with primes more still
  96.    wt: 6:   4 Square Roots with primes more
  97.    wt: 6:   2 Square Roots with Prime
  98.    wt: 6:   13 GCD from given Prime Factorization
  99.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  100.    wt: 6:   8 GCD from Euclidean Algorithm
  101.    wt: 6:   6 GCD from Prime
  102.    wt: 6:   5 Common Divisors 60 45 via Prime
  103.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  104.    wt: 6:   2 Least Common Multiple LCM intro via list method
  105.    wt: 6:   1 Least Common Multiples LCM Introduction
  106.    wt: 6:   12 GCD 2700 288 via Prime
  107.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  108.    wt: 6:   4 Counting with Trees Product Rule Take I
  109.    wt: 6:   4 signed coordinates for regions in space
  110.    wt: 6:   B Integer Long Division Multiple Choices
  111.    wt: 6:   11 Adding Integers Formulas and Examples
  112.    wt: 6:   8 Multiplication by Signed Numbers Integers
  113.    wt: 6:   5 Zero Movement and Additive Inverses
  114.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  115.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  116.    wt: 6:   26 Divisibility by 2 3 5 Example
  117.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  118.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  119.    wt: 6:   23 Remainder Arithmetic Modulo 2
  120.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  121.    wt: 6:   21 Remainder Arithmetic Modulo 3
  122.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  123.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  124.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  125.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  126.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  127.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  128.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  129.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  130.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  131.    wt: 6:   5 Remainder Arithmetic Modulo 5
  132.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  133.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  134.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  135.    wt: 6:   1 Remainder Arithmetic Modulo 10
  136.    wt: 6:   19 video Prime Factorization Unique
  137.    wt: 6:   18 video Count Factors given Prime Factorization
  138.    wt: 6:   11 Efficient Square Rule Use
  139.    wt: 6:   10 video Prime Factorization upto 23 squared
  140.    wt: 6:   9 video Prime Factorization upto 19 squared
  141.    wt: 6:   8 video Prime Factorization upto 19
  142.    wt: 6:   4 video Prime Factorization Introduction
  143.    wt: 6:   1 video how Products are bigger than factor
  144.    wt: 6:   11 Another Single Digit Divisor Example
  145.    wt: 6:   8 Correcting the Mistake
  146.    wt: 6:   7 Long Divison Mistake Catching
  147.    wt: 6:   1 Divsion Physical Examples
  148.    wt: 6:   C Counting Areas with Powers of Ten
  149.    wt: 6:   B Powers of Ten
  150.    wt: 6:   6 Multiplication Commutes Order Not Important
  151.    wt: 6:   4 Two and Three Digit Multipliers
  152.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  153.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  154.    wt: 6:   Subtraction with J Conversions Example
  155.    wt: 6:   Subtraction Another Video Lesson
  156.    wt: 6:   9 22 Minute Subtraction Review Video
  157.    wt: 6:   5 A Tip for Efficent Subtraction
  158.    wt: 6:   2 Subtraction Easy Case Examples
  159.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  160.    wt: 6:   5. How to add decimals C. Examples
  161.    wt: 6:   4. How to add with decimals B with conversions
  162.    wt: 6:   3. How to add with decimals A sans conversions
  163.    wt: 6:   2 Decimal Counting Practices
  164.    wt: 6:   1. Explaining Addition Table
  165.    wt: 6:   11 Place Value SI Standard International way
  166.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  167.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  168.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  169.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  170.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  171.    wt: 5:   8 Division and Mulplication of Compound Fractions
  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:   A Associative Law Theorectical Note
  176.    wt: 5:   13 Subtraction with Additive Inverse
  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:   3 Adding Movements with same direction
  183.    wt: 5:   1 Integers as Coordinates
  184.    wt: 5:   D Decimal Multiplication Methods Derived
  185.    wt: 5:   A Elementary Basis for Multiplication Methods
  186.    wt: 5:   5 Decimal Fraction Multiplication
  187.    wt: 5:   3 More One Digit Multipliers
  188.    wt: 5:   2 One Digit Multipliers
  189.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Power Notation in Decimal Expansion
  192.    wt: 5:   1 Why 3 times 5 gives 15
  193.    wt: 5:   Formula Evaluation how to show work
  194.    wt: 5:   Expression Evaluation how to show work
  195.    wt: 5:   The 20 Times Table
  196.    wt: 5:   The 12 Times Table Visually
  197.    wt: 5:   About folder contents
  198.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  199.    wt: 4:   6 Field Properties of Complex Number
  200.    wt: 4:   2 Combing Counts Addition Skills and Principles
  201.    wt: 4:   1 The Counting Origins of Numbers
  202.    wt: 4:   011 Division of Time Intervals By Numbers
  203.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  204.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  205.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  206.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  207.    wt: 3:   27 Logarithmic use of products of sines and cosines
  208.    wt: 3:   20 N th Roots of Complex Numbers
  209.    wt: 3:   5 An Easy Proof of the Distributive Law
  210.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  211.    wt: 3:   3 Trigonometric Ratios sine and cosine
  212.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  213.    wt: 3:   10 Midpoint of [a b] and [b a]
  214.    wt: 3:   6 Intersection of lines by solving linear systems
  215.    wt: 3:   1 Numerical view of lines and their equations
  216.    wt: 3:   6 Polar Multiplication and Rotation
  217.    wt: 3:   6 Ruler and compass Angle Bisection
  218.    wt: 3:   22 Multiplication of Signed Numbers
  219.    wt: 3:   21 Addition of Multiples of a Single Vector
  220.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  221.    wt: 3:   11 Signed Number Addition and Addition Properties
  222.    wt: 3:   E Long Division Methods more
  223.    wt: 3:   D Long Division Methods
  224.    wt: 3:   B Decimal Comparison and Subtraction
  225.    wt: 3:   6 Column Methods for Decimal Multiplication
  226.    wt: 3:   5 Distributive Law for Whole Numbers
  227.    wt: 3:   3 Multiplicative Counting Skills Principles
  228.    wt: 3:   4 Rates Ratios and Proporitionality
  229.    wt: 3:   4 Subtraction and Division Axioms
  230.    wt: 3:   4 Comparison of Negative Numbers
  231.    wt: 3:   2 More and Less Than for Counts and Measures
  232.    wt: 3:   15 Real Number Division
  233.    wt: 3:   10 Real Number Lengths and Signs
  234.    wt: 3:   1 Whole and Natural Numbers
  235.    wt: 3:   6 Three Examples
  236.    wt: 3:   4 A Brief Story of numbers and algebra
  237.    wt: 3:   012 Division of Time Intervals by Time Intervals
  238.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  239.    wt: 3:   4 Mixing and Changing Units of Time
  240.    wt: 3:   3 Units and Lengths of Time
  241.    wt: 3:   1 Intro of Kids To Time Date Skills
  242.    wt: 3:   17 Derivatives of quotients of sine and cosine
  243.    wt: 3:   5 Jumps and absence of unlimited error control
  244.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  245.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  246.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  247.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  248.    wt: 3:   I. Logic and language skills
  249.    wt: 3:   How to Build Skills and Confidence
  250.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  251.    wt: 2:   Ramblings Extrinsic numbers theory
  252.    wt: 2:   Theory of Knowledge
  253.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  254.    wt: 2:   2 Reading and Writing Skills
  255.    wt: 2:   Ages 12 to 14 Skills with take home value
  256.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  257.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  258.    wt: 2:   Objectives for Mathematics and Logic Language Skill Development
  259.    wt: 2:   8 Set view of relations and functions
  260.    wt: 2:   9 Summary Degrees to Radians and back
  261.    wt: 2:   8 Radian Measures of Common Angles
  262.    wt: 2:   2 Radian Measure Numerical Value of one degree
  263.    wt: 2:   1 Degrees and Radians Introduction
  264.    wt: 2:   4 Resultant of a Sum of Movements
  265.    wt: 2:   Vector and Complex Number Applet
  266.    wt: 2:   Parallel Lines and Parallel Transversals
  267.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  268.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  269.    wt: 2:   Parallel Lines and Interior Angles
  270.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  271.    wt: 2:   Straight Lines Intersection of
  272.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  273.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  274.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  275.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  276.    wt: 2:   26 Formulas for products of sines and cosines
  277.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  278.    wt: 2:   14 cosine even and sine and tangent are odd
  279.    wt: 2:   10 Graphs of sines and cosines many periods
  280.    wt: 2:   9 Graphs of sine and cosine over one period
  281.    wt: 2:   7 period of sine and cosine
  282.    wt: 2:   21 Logarithms Powers and Exponentials
  283.    wt: 2:   19 N th Roots of Unity
  284.    wt: 2:   18 Sixth Roots of Unity
  285.    wt: 2:   17 Cube Roots of unity
  286.    wt: 2:   16 References and Originality Question
  287.    wt: 2:   14 Law of cosines
  288.    wt: 2:   13 Trig Formulas for dot and cross Products
  289.    wt: 2:   12 cis formulas for sine cosines and tangent
  290.    wt: 2:   11 sine and cosine double triple angle formulas
  291.    wt: 2:   9 The complex number valued trig function cis
  292.    wt: 2:   8 Unit Circle Development of Trigonometry
  293.    wt: 2:   2 Complex Numbers made easier we hope
  294.    wt: 2:   Appetizer A Complex Number Applet
  295.    wt: 2:   7 Trignometric Ratios Unit Circle
  296.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  297.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  298.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  299.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  300.    wt: 2:   8 Similarity of Triangles and Polygons
  301.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  302.    wt: 2:   7 Exercises to test skill and concept mastery
  303.    wt: 2:   5 Algebraic View of Slopes
  304.    wt: 2:   What is and is not here
  305.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  306.    wt: 2:   7 Complex Numbers Appetizer
  307.    wt: 2:   5 Cartesian Addition and Translation
  308.    wt: 2:   4 Polar Coordinates to and from
  309.    wt: 2:   PS H Distributive Law For Complex Numbers
  310.    wt: 2:   17 Right Bisectors of Triangle Sides
  311.    wt: 2:   16 Angles Subtended By Chords and Diameters
  312.    wt: 2:   9 Construction of a right bisector
  313.    wt: 2:   3 Isometry of Triangles Congruence
  314.    wt: 2:   1 Initial Concepts and Terms
  315.    wt: 2:   3 Lengths and Areas on Maps and Plans
  316.    wt: 2:   musings do not puiblish real numbers
  317.    wt: 2:   A Modular and Remainder Arithmetic
  318.    wt: 2:   A Signed Number Arithmetic Review
  319.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  320.    wt: 2:   19 Signed Multiples of Vectors
  321.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  322.    wt: 2:   13 Arrows and Vectors in a Plane
  323.    wt: 2:   12 Real Numbers Line Signed Coordinates
  324.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  325.    wt: 2:   9 Division with Digits after Decimal Point
  326.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  327.    wt: 2:   4 Location of Point in Decimal Addition
  328.    wt: 2:   3 Location of Point in Decimal Multiplication
  329.    wt: 2:   1 Fractions with Finite Decimal Expansions
  330.    wt: 2:   C Three Decimal Subtraction Methods
  331.    wt: 2:   A Decimal Addition Columm Methods
  332.    wt: 2:   8 Column Multiplication Methods in General
  333.    wt: 2:   7 Decimals Multiplication Methods Examples
  334.    wt: 2:   4 Commutative Law Groups Counting Form
  335.    wt: 2:   5 Areas of Rectangles Revisited
  336.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  337.    wt: 2:   5 Proportionality in Equivalent Fractions
  338.    wt: 2:   6 Equations and Systems Equivalent or Implied
  339.    wt: 2:   2 Addition and Multiplication Axioms
  340.    wt: 2:   3 More and Less Than with Unlike Signs
  341.    wt: 2:   1 Real Numbers Comparison
  342.    wt: 2:   16 Real Numbers Comparison
  343.    wt: 2:   14 Real Number Multiplication
  344.    wt: 2:   13 Real Number Subtraction
  345.    wt: 2:   12 Real Number Additive Inverses or Negatives
  346.    wt: 2:   11 Real Number Addition
  347.    wt: 2:   8 Coordinates for Maps and Planes
  348.    wt: 2:   7 Real Numbers as Line Cordinates
  349.    wt: 2:   6 Unsigned Real Numbers
  350.    wt: 2:   5 Rational Numbers More
  351.    wt: 2:   4 Rational Numbers
  352.    wt: 2:   3 Fractions
  353.    wt: 2:   3 Geometric Formulas and Function Notation
  354.    wt: 2:   1 Formulas Dependence and Function Notation
  355.    wt: 2:   Skill Development Notes
  356.    wt: 2:   10 One Example
  357.    wt: 2:   9 Three Examples
  358.    wt: 2:   8 One Example
  359.    wt: 2:   7 Two Examples
  360.    wt: 2:   5 Three Examples
  361.    wt: 2:   4 Two Examples
  362.    wt: 2:   3 Two Examples
  363.    wt: 2:   2 Three Examples
  364.    wt: 2:   8 Sets of Numbers
  365.    wt: 2:   5 Talking about Numbers and Quantities
  366.    wt: 2:   016 Numbering Occidental Calendar Days
  367.    wt: 2:   015 School and work day counting tables
  368.    wt: 2:   010 Repeated Addition of Time Intervals
  369.    wt: 2:   8 Addition of Time Intervals via subtotaling
  370.    wt: 2:   7 Addition of Time Intervals
  371.    wt: 2:   2 Time and Date Matters in School
  372.    wt: 2:   Example 2 volume of a cone
  373.    wt: 2:   Example 1 volume of a pyramid
  374.    wt: 2:   Volume of Solid by Cross Sections Lesson
  375.    wt: 2:   Example 1. Area Between x and x squared
  376.    wt: 2:   Example 4 with x function of y
  377.    wt: 2:   38 Formulas and derivatives for powers and roots
  378.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  379.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  380.    wt: 2:   9 Limits Continuity and Composition
  381.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  382.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  383.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  384.    wt: 2:   Appendix E. How To Study Mathematics and Why
  385.    wt: 2:   Appendix D. What to do in School and Why
  386.    wt: 2:   Chapter 31 Direct and Indirect Reason
  387.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  388.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  389.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  390.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  391.    wt: 2:   Chapter 20. Degrees and Radians
  392.    wt: 2:   Chapter 19. Functions and Sets
  393.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  394.    wt: 2:   Chapter 12. Shorthand Usage Guide
  395.    wt: 2:   Chapter 11. Why Shorthand
  396.    wt: 2:   Chapter 10 Describing and Changing Calculations
  397.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  398.    wt: 2:   Chapter 8 Three Skills For Algebra
  399.    wt: 2:   Chapter 6 Change of Language
  400.    wt: 2:   Chapter 4 Longer Chains of Reason
  401.    wt: 2:   Chapter 3 Chains of Reason
  402.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  403.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  404.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  405.    wt: 2:   R Why Learn Mathematics Skills
  406.    wt: 2:   O On Learning Mathematics and Science
  407.    wt: 2:   L Skills with take home value
  408.    wt: 2:   N Improving Marks on Tests and Finals
  409.    wt: 2:   J. More on written work and showing skill
  410.    wt: 2:   H Jigsaw puzzles and problem solving
  411.    wt: 2:   G. Written work formats for developing and showing skill
  412.    wt: 2:   E. When and how to correct errors
  413.    wt: 2:   C. Domino effect of being careful
  414.    wt: 2:   B. Domino effect of errors
  415.    wt: 1:   Appendix 1 primary and preschool mathematic
  416.    wt: 1:   G LAMP Introduction Problem Solving Skills
  417.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  418.    wt: 1:   Skills Chapter 5 Calculus
  419.    wt: 1:   Skills Chapter 4 Logic
  420.    wt: 1:   Skills Chapter 3 Algebra
  421.    wt: 1:   Skills Chapter 2 Geometry
  422.    wt: 1:   Skills Chapter 1 Arithmetic
  423.    wt: 1:   Skills Chapter 0 Introduction
  424.    wt: 1:   7 logic review and decimals an odd combination
  425.    wt: 1:   5 logarithms and exponentials etc
  426.    wt: 1:   2 arithmetic with signed numbers
  427.    wt: 1:   1 arithmetic with unsigned numbers
  428.    wt: 1:   key notes and themes
  429.    wt: 1:   Mathematics Education Professors
  430.    wt: 1:   what should be learnt and When
  431.    wt: 1:   standards for course material
  432.    wt: 1:   Education in mathematics science and technology
  433.    wt: 1:   Different Kinds of Reasoning in maths
  434.    wt: 1:   three kinds of reason in mathematics
  435.    wt: 1:   Motivation and Context Problem
  436.    wt: 1:   fairness and inductive principles for instruction
  437.    wt: 1:   chapitre 12 00 les iles et division
  438.    wt: 1:   E Kirchoffs Second Law
  439.    wt: 1:   D Kirchoff First Law
  440.    wt: 1:   Home Tutoring and Home Schooling
  441.    wt: 1:   24 Standards For Skill Develoment Take II
  442.    wt: 1:   24 Standards For Skill Develoment
  443.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  444.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  445.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  446.    wt: 1:   17 Math Booklets for children and young teenagers
  447.    wt: 1:   14 Multiplication and Times Tables
  448.    wt: 1:   13 Addition and Addition Tables
  449.    wt: 1:   12 Goals and Objectives For Mathematics
  450.    wt: 1:   11 Help and Defend Your Child or Teens Education
  451.    wt: 1:   8 The Effect of Negative Remarks
  452.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  453.    wt: 1:   5 Patience Please for Yourself and Your Charges
  454.    wt: 1:   4 Learning Takes Time and Effort
  455.    wt: 1:   1 Speaking Skills
  456.    wt: 1:   Ages 12 to 14 Geometry
  457.    wt: 1:   Ages 12 to 14 Arithmetic
  458.    wt: 1:   Ages 10 to 12 Geometry
  459.    wt: 1:   Ages 10 to 12 Arithmetic
  460.    wt: 1:   Ages 9 to 10
  461.    wt: 1:   Ages 8 to 9
  462.    wt: 1:   Ages 7 to 8
  463.    wt: 1:   Ages 6 to 7
  464.    wt: 1:   Ages 4 plus to 5 plus
  465.    wt: 1:   Ages 3 plus to 4 plus
  466.    wt: 1:   26 Function definitions done and coming
  467.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  468.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  469.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  470.    wt: 1:   19 Horizontal line rule and method
  471.    wt: 1:   18 Vertical Line Rule and Method
  472.    wt: 1:   17 Function maxima minima and their location
  473.    wt: 1:   15 Sign analysis of functions
  474.    wt: 1:   11 Function Domain Range Source and Targets
  475.    wt: 1:   9 Set theory term relation possible origins
  476.    wt: 1:   6 Set Existence Formation and Notation
  477.    wt: 1:   4 Function notation in and beyond mathematics
  478.    wt: 1:   2 Algebraic use of function notation
  479.    wt: 1:   1 Geometric Introduction of Function Notation
  480.    wt: 1:   9 quadratics physical and further context
  481.    wt: 1:   8 quadratics backward use of various formulas
  482.    wt: 1:   4 quadratics difference of two squares
  483.    wt: 1:   11 Growth and Decay in Biology
  484.    wt: 1:   10 Exponential Growth and Decay Models
  485.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  486.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  487.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  488.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  489.    wt: 1:   4 Polynomials Long division linear divisor
  490.    wt: 1:   16 cotangent function Definition Graph and Inverse
  491.    wt: 1:   15 cosecant function Definition Graph and Inverse
  492.    wt: 1:   14 secant function Definition Graph and Inverse
  493.    wt: 1:   13 cosecant function Definition Graph and Inverse
  494.    wt: 1:   11 arctan left inverse of tangent Graph
  495.    wt: 1:   10 arctan left inverse of tangent Definition
  496.    wt: 1:   8 arcsin left inverse of sine Graph
  497.    wt: 1:   7 arcsin left inverse of sine Definition
  498.    wt: 1:   6 Graph of arccos function
  499.    wt: 1:   3 Left Inverse of cosine arccos definition
  500.    wt: 1:   7 Radian Measures in special Triangles
  501.    wt: 1:   6 Radian Measure to Degrees
  502.    wt: 1:   5 Degrees to Radian Measure
  503.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  504.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  505.    wt: 1:   A Global Time and Navigation
  506.    wt: 1:   15 Dot and Cross Product
  507.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  508.    wt: 1:   4 graphing y=Asin(x c)
  509.    wt: 1:   3 graphing y=f(x c) plus K
  510.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  511.    wt: 1:   1 graphing y=f(x a)
  512.    wt: 1:   Triangle Angles Sum To 180 Degrees
  513.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  514.    wt: 1:   Straight Lines ASA Intersection Study More
  515.    wt: 1:   Straight Lines ASA Intersection Study
  516.    wt: 1:   Straight Lines Instersection Solving Equations
  517.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  518.    wt: 1:   C Straight Lines Slope from Coordinates
  519.    wt: 1:   B Straight Line Slope Scaling Properties More
  520.    wt: 1:   A Straight Line Slope Scaling Properties
  521.    wt: 1:   14 Straight Lines Equations General Case
  522.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  523.    wt: 1:   12 Straight Lines Graphing mx plus b
  524.    wt: 1:   11 Straight Lines Graphing y=mx
  525.    wt: 1:   10 Straight Lines through Origin Equations More
  526.    wt: 1:   9 Straight Lines through Origin Equations
  527.    wt: 1:   8 Straight Lines Equation for vertical
  528.    wt: 1:   7 Tangent Function is odd on this domain
  529.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  530.    wt: 1:   5 Tangent Function Graph
  531.    wt: 1:   4 Tangent Function Properties
  532.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  533.    wt: 1:   1 Straight Lines Slope Concept
  534.    wt: 1:   32 seven rows of pascals triangle
  535.    wt: 1:   30 unit circle calculation of six trigonometric functions
  536.    wt: 1:   29 secant cosecant and cotangent for acute angles
  537.    wt: 1:   28 Expressing products of sines cosines as sums
  538.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  539.    wt: 1:   21 sine and cosine Half Angle Formulas
  540.    wt: 1:   20 sine and cosine Double Angle Formulas
  541.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  542.    wt: 1:   18 sum of sinusoidal waves as a single wave
  543.    wt: 1:   17F Law of cosines
  544.    wt: 1:   17E Trig Formulas for dot and cross Products
  545.    wt: 1:   17D cis formulas for sine cosines and tangent
  546.    wt: 1:   17C sine and cosine double triple angle formulas
  547.    wt: 1:   17A The complex number valued trig function cis
  548.    wt: 1:   13 Graph of tangent function many periods
  549.    wt: 1:   12 Graph of tangent function for one period
  550.    wt: 1:   8 period of tangent function
  551.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  552.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  553.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  554.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  555.    wt: 1:   Unit Circle Development of Trigonometry
  556.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  557.    wt: 1:   15 Pythagorean Theorem Converse
  558.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  559.    wt: 1:   7 Second Way to Calculate Products
  560.    wt: 1:   4 Multiplication Properties
  561.    wt: 1:   3 Addition Properties
  562.    wt: 1:   1 Rectangular Polar Coordinates Review
  563.    wt: 1:   8 Triangles Cascade Problem Solving
  564.    wt: 1:   1 Angle Measurement with Degrees
  565.    wt: 1:   Why Trigonometry the whyslopes view
  566.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  567.    wt: 1:   9 Similarity of Triangles Usual Criteria
  568.    wt: 1:   1 Early Concept of Like or Similar Shapes
  569.    wt: 1:   Four Simple Exercises
  570.    wt: 1:   12 Links Lessons elsewhere
  571.    wt: 1:   11 A Partial Summary
  572.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  573.    wt: 1:   8 Mid Point Formula
  574.    wt: 1:   4 Equations for lines three forms
  575.    wt: 1:   3 Slope product for perpendicular lines
  576.    wt: 1:   2 point slope equation for a line
  577.    wt: 1:   13 Pythagorean spatial distance formulas
  578.    wt: 1:   12 Spatial Coordinates
  579.    wt: 1:   11 Triangle Inequality
  580.    wt: 1:   10 Pythagorean plane distance formula
  581.    wt: 1:   8 Distance Between Points on a Line
  582.    wt: 1:   3 Rectangular Coordinates Review
  583.    wt: 1:   2 Cartesian Coordinates with signs
  584.    wt: 1:   1 Cartesian Coordinates sans signs
  585.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  586.    wt: 1:   PS G Rotation Distributes over Addition
  587.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  588.    wt: 1:   PS E Multiplication with Polar Coordinates
  589.    wt: 1:   PS D Addition with Cartesian Coordinates
  590.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  591.    wt: 1:   PS B Parallelogram Construction Methods
  592.    wt: 1:   PS A Kite Construction Methods
  593.    wt: 1:   21 Parallelograms
  594.    wt: 1:   19 Right Triangle Similarity
  595.    wt: 1:   18 Triangle Similarity Take 1
  596.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  597.    wt: 1:   14 Parallel Lines Postulate
  598.    wt: 1:   13 Angle Side Angle Failure
  599.    wt: 1:   12 Side Angle Side Failure
  600.    wt: 1:   11 Triangle Construction Fails
  601.    wt: 1:   10 Dropping a perpendicular to line
  602.    wt: 1:   8 Isoceles Triangles
  603.    wt: 1:   7 Angle Side Angle
  604.    wt: 1:   5 Side Angle Side
  605.    wt: 1:   4 Side Side Side
  606.    wt: 1:   2 Correspondence between Triangles
  607.    wt: 1:   Short Course on Euclidean Geometry
  608.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  609.    wt: 1:   26 More Less Greater Than Comparison
  610.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  611.    wt: 1:   23 Distributive Law Two Derivations
  612.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  613.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  614.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  615.    wt: 1:   15 Head to Tails in place Addition Associative
  616.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  617.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  618.    wt: 1:   2 Counting Digits in Decimal Multiplication
  619.    wt: 1:   4 Fraction Operations Axiomatic Development
  620.    wt: 1:   3 Inequalities Algebraically
  621.    wt: 1:   2 Fraction Operations Physical Development
  622.    wt: 1:   3 Proportionality Examples
  623.    wt: 1:   2 Algebraic View
  624.    wt: 1:   1 What is Proportionality
  625.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  626.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  627.    wt: 1:   6 Compound Interest Forward and Backwards
  628.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  629.    wt: 1:   5 Equality in Algebra
  630.    wt: 1:   3 Product Axioms Two Forms
  631.    wt: 1:   1 Equivalent Computation Rules
  632.    wt: 1:   5 Greater More Less Than Signs in General
  633.    wt: 1:   9 Coordinates for Regions in Space
  634.    wt: 1:   2 Integers
  635.    wt: 1:   5 Independent versus Dependent Variables
  636.    wt: 1:   4 Changing Letters
  637.    wt: 1:   2 Computation Rules Evaluation
  638.    wt: 1:   3 GE III Equation Addition and Multiplication
  639.    wt: 1:   6 Algebraic Solution Example
  640.    wt: 1:   11 Volume of Sphere
  641.    wt: 1:   10 Volume of Pyramid
  642.    wt: 1:   9 Volume of Cone
  643.    wt: 1:   1 Written work formats for developing and showing skill
  644.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  645.    wt: 1:   9 Sets in Probability and Statistics
  646.    wt: 1:   6 Three Notions of What is a Variable
  647.    wt: 1:   1 Three Skills For Algebra
  648.    wt: 1:   014 Counting Days with Calendars
  649.    wt: 1:   013 Travel Time Tables
  650.    wt: 1:   6 How long is a million seconds
  651.    wt: 1:   5 Conversion Arithmetic
  652.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  653.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  654.    wt: 1:   Example 3
  655.    wt: 1:   Example 2
  656.    wt: 1:   Example 1
  657.    wt: 1:   Area Between Curves Lesson Take 2
  658.    wt: 1:   Area Between Curves Lesson Take 1
  659.    wt: 1:   Summary
  660.    wt: 1:   34 Derivative of exponential function
  661.    wt: 1:   31 Derivatives of inverse functions
  662.    wt: 1:   30Chain Rule A Proof
  663.    wt: 1:   28 Chain Rule Preparation for a Proof
  664.    wt: 1:   15 sine and cosine derivatives 3rd step
  665.    wt: 1:   14 sine and cosine derivatives 2nd step
  666.    wt: 1:   13 sine and cosine derivatives 1st step
  667.    wt: 1:   8 Differentiation of polynomials
  668.    wt: 1:   11 Limits at infinity Three Examples
  669.    wt: 1:   10 Three one sided limits with infinite values
  670.    wt: 1:   8 Four Animated Examples
  671.    wt: 1:   7 Evaluation by immediate or delayed substitution
  672.    wt: 1:   6 Continuity at a point
  673.    wt: 1:   4 Numerical properties
  674.    wt: 1:   3 Decimal insights for limits continuity convergence
  675.    wt: 1:   2 Algebraic codification
  676.    wt: 1:   1 Numerical introduction
  677.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  678.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  679.    wt: 1:   G.3 Constant Difference Theorem Proof
  680.    wt: 1:   E2 Algebraic Properties of Limits
  681.    wt: 1:   D2 Limits of Monotone Sequences
  682.    wt: 1:   PostScript For and Against Decimal Perspectives
  683.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  684.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  685.    wt: 1:   Chapter 22 Complex Numbers
  686.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  687.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  688.    wt: 1:   Chapter 12. Units and Slopes
  689.    wt: 1:   Chapter 10 Slopes and Units
  690.    wt: 1:   Chapter 7 Slopes and Velocity
  691.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  692.    wt: 1:   Chapter 2. Slopes and Ski Trails
  693.    wt: 1:   Postscript More on Better Performance
  694.    wt: 1:   Postscript For Better Performance
  695.    wt: 1:   Appendix C. How to Read
  696.    wt: 1:   Appendix B. How To Learn
  697.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  698.    wt: 1:   Chapter 30 Truth Tables
  699.    wt: 1:   Chapter 28 Occurrence Tables
  700.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  701.    wt: 1:   Chapter 25. Mathematical Induction Examples
  702.    wt: 1:   Chapter 25. Mathematical Induction Examples
  703.    wt: 1:   Chapter 23. Notation For Sums
  704.    wt: 1:   Chapter 21. Third Reading Guide
  705.    wt: 1:   Chapter 18. Rules for Algebra
  706.    wt: 1:   Chapter 16. Painless Theorem Proving
  707.    wt: 1:   Chapter 15. Solving Linear Equations
  708.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  709.    wt: 1:   Chapter 13. Second Reading Guide
  710.    wt: 1:   Postscript What is a Variable
  711.    wt: 1:   Solutions For Arithmetic Exercises
  712.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  713.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  714.    wt: 1:   Foreword
  715.    wt: 1:   Chapter 7 Two Treatments of Geometry
  716.    wt: 1:   Chapter 2 For and Against Mathematics
  717.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  718.    wt: 1:   Postscript B More on Story Telling and Reason
  719.    wt: 1:   Chapter 24 Direct and Indirect Reason
  720.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  721.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  722.    wt: 1:   Chapter 18 Sense and Knowledge
  723.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  724.    wt: 1:   Chapter 8 Change of Language
  725.    wt: 1:   Chapter 7 Longer Chains of Reason
  726.    wt: 1:   Chapter 6 Chains of Reason
  727.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  728.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  729.    wt: 1:   S Adding words to algebra
  730.    wt: 1:   N Mathematics Prepare for College Studies
  731.    wt: 1:   M Words to extend arithmetic
  732.    wt: 1:   H more Routine to non routine problem solving
  733.    wt: 1:   F. The student teacher tutor feedback loop
  734.    wt: 1:   D. Check work a must with a caution
  735.    wt: 1:   A. Skill has to be seen to believed
  736.    wt: 1:   Helping the Blind in Logic and Mathematics
  737.    wt: 1:   More Algebra and Slope based Calculus Preview
  738.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  739.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  740.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  741.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  742.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  743.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  744.    wt: 12:   B Fractions and Two Term Ratios
  745.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  746.    wt: 12:   21 Reciprocals for Fractions and Wholes
  747.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  748.    wt: 12:   9 Improper Fractions and Mixed Numbers
  749.    wt: 11:   5 Reciprocals and Division for Fractions with Units
  750.    wt: 10:   3 Comparison of Negative Numbers
  751.    wt: 10:   1 More and Less Than for Counts and Measures
  752.    wt: 10:   D Three Term Ratios
  753.    wt: 10:   22 Complex Compound Fractions
  754.    wt: 10:   20 Dividing Fractions the Why
  755.    wt: 10:   19 Dividing Fractions How TO
  756.    wt: 10:   17 Efficient Ways to Add and Subtract
  757.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  758.    wt: 10:   14 Adding and Subtracting with Like Denominators
  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.