Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers in school and out. See site volumes.

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

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

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

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

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

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

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47 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:   10 Examples of Algebraic Reasoning/
  20.    wt: 2:   9 Proportionality Backwards and Forwards/
  21.    wt: 2:   Step 1 Stick diagram and fractions/
  22.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  23.    wt: 1:   Mathematics Skills Year by Year/
  24.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  25.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  26.    wt: 1:   12 Function Translating and Rescaling/
  27.    wt: 1:   11 Parallel Straight Lines and Transversals/
  28.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  29.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  30.    wt: 1:   7 Complex Numbers/
  31.    wt: 1:   6 Trigonometry first steps/
  32.    wt: 1:   4 Lines and Slopes Take 1/
  33.    wt: 1:   3 Cartesian and Polar Coordinates/
  34.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  35.    wt: 1:   B Real Numbers Extrinsic Development/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   5 Real Numbers/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   Time Date Matters/
  41.    wt: 1:   Skills with take home value/
  42.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  43.    wt: 1:   13 Lessons on Limits and Continuity/
  44.    wt: 1:   Volume 2 Three Skills For Algebra/
  45.    wt: 1:   Volume 1 Elements of Reason/
  46.    wt: 1:   Work and Study Tips/
  47.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

503 matches:

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

Extended Search

789 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:   5 Reciprocals and Division for Fractions with Units
  5.    wt: 9:   3 Multiplying Units and Numbers
  6.    wt: 9:   21 Working With Signs
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   16 Addition Subtraction Comparision Compared
  9.    wt: 9:   13 Fraction Comparison Algebraic View
  10.    wt: 9:   12 Fraction Comparison
  11.    wt: 9:   11 Simplification an Algebraic View
  12.    wt: 9:   8 Numerals Fractionals Quantals Take II
  13.    wt: 9:   7 Numerals Fractionals Quantals
  14.    wt: 9:   6 Multiplication Algebraically Take II
  15.    wt: 9:   4 Fraction Multiplication
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  20.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  21.    wt: 8:   4 Greater More Less Than Signs in General
  22.    wt: 8:   3 Properties of Square Roots with example
  23.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  24.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  25.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  26.    wt: 8:   4 LCM of 8 and 10 via Prime
  27.    wt: 8:   11 What are real lengths and numbers
  28.    wt: 8:   2 signed and unsigned numbers as coordinates
  29.    wt: 8:   4 Fractions with Units
  30.    wt: 8:   2 Equality and Units
  31.    wt: 8:   1 Addition and Subtraction with Units
  32.    wt: 8:   8 What skills and work habits to require
  33.    wt: 8:   6. Counting and adding units and mixed units
  34.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  35.    wt: 8:   Quick history of numbers and algebra
  36.    wt: 7:   1 Squares and Square Roots Introduction
  37.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  38.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  39.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  40.    wt: 7:   7 GCD and LCM from prime factorization
  41.    wt: 7:   3 Counting with Tables and Trees II
  42.    wt: 7:   2 Counting with Tables and Trees I
  43.    wt: 7:   1 Counting and Counting Methods I
  44.    wt: 7:   10 dividing signed numbers
  45.    wt: 7:   9 subtracting signed numbers
  46.    wt: 7:   8 multiplying signed numbers
  47.    wt: 7:   7 negative and additive inverse
  48.    wt: 7:   6 adding signed numbers
  49.    wt: 7:   3 signed coordinates for maps and planes
  50.    wt: 7:   7 Converting or Changing Units
  51.    wt: 7:   11 Adding Integers Formulas and Examples
  52.    wt: 7:   6 Multiplication by Natural Numbers
  53.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  54.    wt: 7:   27 Divisibility by 2 3 6 5 9 10 Example
  55.    wt: 7:   26 Divisibility by 2 3 5 Example
  56.    wt: 7:   25 Divisibility Tests for 2 3 5 9 10 Example
  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:   8 Remainder Arithmetic Morulo 5 Examples II
  62.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  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:   Subtraction with J Conversions Example
  75.    wt: 7:   8 Subtraction with Units of Measure
  76.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  77.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  78.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  79.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  80.    wt: 7:   2 Subtraction Easy Case Examples
  81.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  82.    wt: 7:   7 Adding decimal fractions using decimal point
  83.    wt: 7:   5. How to add decimals C. Examples
  84.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  85.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  86.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  87.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  88.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  89.    wt: 7:   Exact Arithmetic Wholes and Fractions
  90.    wt: 6:   5 Square Roots with primes more still
  91.    wt: 6:   4 Square Roots with primes more
  92.    wt: 6:   2 Square Roots with Prime
  93.    wt: 6:   13 GCD from given Prime Factorization
  94.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  95.    wt: 6:   8 GCD from Euclidean Algorithm
  96.    wt: 6:   6 GCD from Prime
  97.    wt: 6:   5 Common Divisors 60 45 via Prime
  98.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  99.    wt: 6:   2 Least Common Multiple LCM intro via list method
  100.    wt: 6:   1 Least Common Multiples LCM Introduction
  101.    wt: 6:   12 GCD 2700 288 via Prime
  102.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  103.    wt: 6:   4 Counting with Trees Product Rule Take I
  104.    wt: 6:   4 signed coordinates for regions in space
  105.    wt: 6:   12 Adding Integers More Examples
  106.    wt: 6:   8 Multiplication by Signed Numbers Integers
  107.    wt: 6:   5 Zero Movement and Additive Inverses
  108.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  109.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  110.    wt: 6:   23 Remainder Arithmetic Modulo 2
  111.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  112.    wt: 6:   21 Remainder Arithmetic Modulo 3
  113.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  114.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  115.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  116.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  117.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  118.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  119.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  120.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  121.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  122.    wt: 6:   5 Remainder Arithmetic Modulo 5
  123.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  124.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  125.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  126.    wt: 6:   1 Remainder Arithmetic Modulo 10
  127.    wt: 6:   19 video Prime Factorization Unique
  128.    wt: 6:   18 video Count Factors given Prime Factorization
  129.    wt: 6:   11 Efficient Square Rule Use
  130.    wt: 6:   10 video Prime Factorization upto 23 squared
  131.    wt: 6:   9 video Prime Factorization upto 19 squared
  132.    wt: 6:   8 video Prime Factorization upto 19
  133.    wt: 6:   4 video Prime Factorization Introduction
  134.    wt: 6:   1 video how Products are bigger than factor
  135.    wt: 6:   Division with Counts and Length
  136.    wt: 6:   Long Division forwards and backwards Example 3
  137.    wt: 6:   Long Division forwards and backwards Example 2
  138.    wt: 6:   Long Division forwards and backwards Example 1
  139.    wt: 6:   10 Division by Five Long and Short Ways
  140.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  141.    wt: 6:   1 Divsion Physical Examples
  142.    wt: 6:   C Counting Areas with Powers of Ten
  143.    wt: 6:   B Powers of Ten
  144.    wt: 6:   6 Multiplication Commutes Order Not Important
  145.    wt: 6:   4 Two and Three Digit Multipliers
  146.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  147.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  148.    wt: 6:   Subtraction Another Video Lesson
  149.    wt: 6:   9 22 Minute Subtraction Review Video
  150.    wt: 6:   5 A Tip for Efficent Subtraction
  151.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  152.    wt: 6:   4. How to add with decimals B with conversions
  153.    wt: 6:   3. How to add with decimals A sans conversions
  154.    wt: 6:   2 Decimal Counting Practices
  155.    wt: 6:   1. Explaining Addition Table
  156.    wt: 6:   11 Place Value SI Standard International way
  157.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  158.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  159.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  160.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  161.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  162.    wt: 5:   arithmetic videos Real Player Format
  163.    wt: 5:   D Remainders Modulo 11 Pair Rule
  164.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  165.    wt: 5:   B Integer Long Division Multiple Choices
  166.    wt: 5:   A Associative Law Theorectical Note
  167.    wt: 5:   13 Subtraction with Additive Inverse
  168.    wt: 5:   10 Integer Multiplication Formulas
  169.    wt: 5:   9 Multiplying Integers
  170.    wt: 5:   7 Multiplication by Signs
  171.    wt: 5:   4 Adding Movements wiht opposite directions
  172.    wt: 5:   3 Adding Movements with same direction
  173.    wt: 5:   1 Integers as Coordinates
  174.    wt: 5:   Long Division Backwards more
  175.    wt: 5:   Long Division Backward
  176.    wt: 5:   12 Why Long Division Works Take III
  177.    wt: 5:   11 Another Single Digit Divisor Example
  178.    wt: 5:   9 Why Long Division Works Take II
  179.    wt: 5:   8 Correcting the Mistake
  180.    wt: 5:   7 Long Divison Mistake Catching
  181.    wt: 5:   5 Long Division Include Zeroes or not
  182.    wt: 5:   4 Division with 2 Digit Divsors
  183.    wt: 5:   3 Division Single Digit Divisor Example
  184.    wt: 5:   2 Division with Single Digit Divisors
  185.    wt: 5:   D Decimal Multiplication Methods Derived
  186.    wt: 5:   A Elementary Basis for Multiplication Methods
  187.    wt: 5:   5 Decimal Fraction Multiplication
  188.    wt: 5:   3 More One Digit Multipliers
  189.    wt: 5:   2 One Digit Multipliers
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Power Notation in Decimal Expansion
  193.    wt: 5:   1 Why 3 times 5 gives 15
  194.    wt: 5:   Formula Evaluation how to show work
  195.    wt: 5:   Expression Evaluation how to show work
  196.    wt: 5:   The 20 Times Table
  197.    wt: 5:   The 12 Times Table Visually
  198.    wt: 5:   About folder contents
  199.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  200.    wt: 4:   6 Field Properties of Complex Number
  201.    wt: 4:   8 Division and Mulplication of Compound Fractions
  202.    wt: 4:   2 Combing Counts Addition Skills and Principles
  203.    wt: 4:   1 The Counting Origins of Numbers
  204.    wt: 4:   5 Proportionality in Equivalent Fractions
  205.    wt: 4:   4 Rates Ratios and Proporitionality
  206.    wt: 4:   3 Proportionality Examples
  207.    wt: 4:   6 Three Examples
  208.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  209.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  210.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  211.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  212.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  213.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  214.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  215.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  216.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  217.    wt: 3:   27 Logarithmic use of products of sines and cosines
  218.    wt: 3:   10 Graphs of sines and cosines many periods
  219.    wt: 3:   20 N th Roots of Complex Numbers
  220.    wt: 3:   5 An Easy Proof of the Distributive Law
  221.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  222.    wt: 3:   3 Trigonometric Ratios sine and cosine
  223.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  224.    wt: 3:   10 Midpoint of [a b] and [b a]
  225.    wt: 3:   6 Intersection of lines by solving linear systems
  226.    wt: 3:   1 Numerical view of lines and their equations
  227.    wt: 3:   6 Polar Multiplication and Rotation
  228.    wt: 3:   6 Ruler and compass Angle Bisection
  229.    wt: 3:   22 Multiplication of Signed Numbers
  230.    wt: 3:   21 Addition of Multiples of a Single Vector
  231.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  232.    wt: 3:   11 Signed Number Addition and Addition Properties
  233.    wt: 3:   B Decimal Comparison and Subtraction
  234.    wt: 3:   7 Decimals Multiplication Methods Examples
  235.    wt: 3:   6 Column Methods for Decimal Multiplication
  236.    wt: 3:   5 Distributive Law for Whole Numbers
  237.    wt: 3:   3 Multiplicative Counting Skills Principles
  238.    wt: 3:   5 Areas of Rectangles Revisited
  239.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  240.    wt: 3:   1 What is Proportionality
  241.    wt: 3:   4 Comparison of Negative Numbers
  242.    wt: 3:   2 More and Less Than for Counts and Measures
  243.    wt: 3:   10 Real Number Lengths and Signs
  244.    wt: 3:   1 Whole and Natural Numbers
  245.    wt: 3:   9 Three Examples
  246.    wt: 3:   7 Two Examples
  247.    wt: 3:   5 Three Examples
  248.    wt: 3:   4 Two Examples
  249.    wt: 3:   3 Two Examples
  250.    wt: 3:   2 Three Examples
  251.    wt: 3:   4 A Brief Story of numbers and algebra
  252.    wt: 3:   011 Division of Time Intervals By Numbers
  253.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  254.    wt: 3:   4 Mixing and Changing Units of Time
  255.    wt: 3:   3 Units and Lengths of Time
  256.    wt: 3:   1 Intro of Kids To Time Date Skills
  257.    wt: 3:   17 Derivatives of quotients of sine and cosine
  258.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  259.    wt: 3:   5 Jumps and absence of unlimited error control
  260.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  261.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  262.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  263.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  264.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  265.    wt: 3:   I. Logic and language skills
  266.    wt: 3:   How to Build Skills and Confidence
  267.    wt: 3:   7 Games and Activities for Instruction
  268.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  269.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  270.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  271.    wt: 2:   Ramblings Extrinsic numbers theory
  272.    wt: 2:   Theory of Knowledge
  273.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  274.    wt: 2:   2 Reading and Writing Skills
  275.    wt: 2:   Ages 12 to 14 Skills with take home value
  276.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  277.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  278.    wt: 2:   8 Set view of relations and functions
  279.    wt: 2:   9 Summary Degrees to Radians and back
  280.    wt: 2:   8 Radian Measures of Common Angles
  281.    wt: 2:   2 Radian Measure Numerical Value of one degree
  282.    wt: 2:   1 Degrees and Radians Introduction
  283.    wt: 2:   4 Resultant of a Sum of Movements
  284.    wt: 2:   Vector and Complex Number Applet
  285.    wt: 2:   Parallel Lines and Parallel Transversals
  286.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  287.    wt: 2:   Parallel Lines and Interior Angles
  288.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  289.    wt: 2:   Straight Lines Intersection of
  290.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  291.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  292.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  293.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  294.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  295.    wt: 2:   26 Formulas for products of sines and cosines
  296.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  297.    wt: 2:   14 cosine even and sine and tangent are odd
  298.    wt: 2:   13 Graph of tangent function many periods
  299.    wt: 2:   9 Graphs of sine and cosine over one period
  300.    wt: 2:   7 period of sine and cosine
  301.    wt: 2:   21 Logarithms Powers and Exponentials
  302.    wt: 2:   19 N th Roots of Unity
  303.    wt: 2:   18 Sixth Roots of Unity
  304.    wt: 2:   17 Cube Roots of unity
  305.    wt: 2:   16 References and Originality Question
  306.    wt: 2:   14 Law of cosines
  307.    wt: 2:   13 Trig Formulas for dot and cross Products
  308.    wt: 2:   12 cis formulas for sine cosines and tangent
  309.    wt: 2:   11 sine and cosine double triple angle formulas
  310.    wt: 2:   9 The complex number valued trig function cis
  311.    wt: 2:   8 Unit Circle Development of Trigonometry
  312.    wt: 2:   2 Complex Numbers made easier we hope
  313.    wt: 2:   Appetizer A Complex Number Applet
  314.    wt: 2:   7 Trignometric Ratios Unit Circle
  315.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  316.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  317.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  318.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  319.    wt: 2:   8 Similarity of Triangles and Polygons
  320.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  321.    wt: 2:   7 Exercises to test skill and concept mastery
  322.    wt: 2:   5 Algebraic View of Slopes
  323.    wt: 2:   What is and is not here
  324.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  325.    wt: 2:   7 Complex Numbers Appetizer
  326.    wt: 2:   5 Cartesian Addition and Translation
  327.    wt: 2:   4 Polar Coordinates to and from
  328.    wt: 2:   PS H Distributive Law For Complex Numbers
  329.    wt: 2:   17 Right Bisectors of Triangle Sides
  330.    wt: 2:   16 Angles Subtended By Chords and Diameters
  331.    wt: 2:   9 Construction of a right bisector
  332.    wt: 2:   3 Isometry of Triangles Congruence
  333.    wt: 2:   1 Initial Concepts and Terms
  334.    wt: 2:   3 Lengths and Areas on Maps and Plans
  335.    wt: 2:   musings do not puiblish real numbers
  336.    wt: 2:   A Modular and Remainder Arithmetic
  337.    wt: 2:   A Signed Number Arithmetic Review
  338.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  339.    wt: 2:   19 Signed Multiples of Vectors
  340.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  341.    wt: 2:   13 Arrows and Vectors in a Plane
  342.    wt: 2:   12 Real Numbers Line Signed Coordinates
  343.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  344.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  345.    wt: 2:   4 Location of Point in Decimal Addition
  346.    wt: 2:   3 Location of Point in Decimal Multiplication
  347.    wt: 2:   1 Fractions with Finite Decimal Expansions
  348.    wt: 2:   E Long Division Methods more
  349.    wt: 2:   D Long Division Methods
  350.    wt: 2:   C Three Decimal Subtraction Methods
  351.    wt: 2:   A Decimal Addition Columm Methods
  352.    wt: 2:   8 Column Multiplication Methods in General
  353.    wt: 2:   4 Commutative Law Groups Counting Form
  354.    wt: 2:   4 Fraction Operations Axiomatic Development
  355.    wt: 2:   3 Inequalities Algebraically
  356.    wt: 2:   2 Fraction Operations Physical Development
  357.    wt: 2:   2 Algebraic View
  358.    wt: 2:   6 Equations and Systems Equivalent or Implied
  359.    wt: 2:   4 Subtraction and Division Axioms
  360.    wt: 2:   2 Addition and Multiplication Axioms
  361.    wt: 2:   3 More and Less Than with Unlike Signs
  362.    wt: 2:   1 Real Numbers Comparison
  363.    wt: 2:   16 Real Numbers Comparison
  364.    wt: 2:   15 Real Number Division
  365.    wt: 2:   14 Real Number Multiplication
  366.    wt: 2:   13 Real Number Subtraction
  367.    wt: 2:   12 Real Number Additive Inverses or Negatives
  368.    wt: 2:   11 Real Number Addition
  369.    wt: 2:   8 Coordinates for Maps and Planes
  370.    wt: 2:   7 Real Numbers as Line Cordinates
  371.    wt: 2:   6 Unsigned Real Numbers
  372.    wt: 2:   5 Rational Numbers More
  373.    wt: 2:   4 Rational Numbers
  374.    wt: 2:   3 Fractions
  375.    wt: 2:   3 Geometric Formulas and Function Notation
  376.    wt: 2:   1 Formulas Dependence and Function Notation
  377.    wt: 2:   Skill Development Notes
  378.    wt: 2:   10 One Example
  379.    wt: 2:   8 One Example
  380.    wt: 2:   8 Sets of Numbers
  381.    wt: 2:   5 Talking about Numbers and Quantities
  382.    wt: 2:   016 Numbering Occidental Calendar Days
  383.    wt: 2:   015 School and work day counting tables
  384.    wt: 2:   012 Division of Time Intervals by Time Intervals
  385.    wt: 2:   010 Repeated Addition of Time Intervals
  386.    wt: 2:   8 Addition of Time Intervals via subtotaling
  387.    wt: 2:   7 Addition of Time Intervals
  388.    wt: 2:   2 Time and Date Matters in School
  389.    wt: 2:   Example 2 volume of a cone
  390.    wt: 2:   Example 1 volume of a pyramid
  391.    wt: 2:   Volume of Solid by Cross Sections Lesson
  392.    wt: 2:   Example 1. Area Between x and x squared
  393.    wt: 2:   Example 4 with x function of y
  394.    wt: 2:   38 Formulas and derivatives for powers and roots
  395.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  396.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  397.    wt: 2:   11 Limits at infinity Three Examples
  398.    wt: 2:   9 Limits Continuity and Composition
  399.    wt: 2:   8 Four Animated Examples
  400.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  401.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  402.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  403.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  404.    wt: 2:   Appendix E. How To Study Mathematics and Why
  405.    wt: 2:   Appendix D. What to do in School and Why
  406.    wt: 2:   Chapter 31 Direct and Indirect Reason
  407.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  408.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  409.    wt: 2:   Chapter 25. Mathematical Induction Examples
  410.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  411.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  412.    wt: 2:   Chapter 20. Degrees and Radians
  413.    wt: 2:   Chapter 19. Functions and Sets
  414.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  415.    wt: 2:   Chapter 12. Shorthand Usage Guide
  416.    wt: 2:   Chapter 11. Why Shorthand
  417.    wt: 2:   Chapter 10 Describing and Changing Calculations
  418.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  419.    wt: 2:   Chapter 8 Three Skills For Algebra
  420.    wt: 2:   Chapter 6 Change of Language
  421.    wt: 2:   Chapter 4 Longer Chains of Reason
  422.    wt: 2:   Chapter 3 Chains of Reason
  423.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  424.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  425.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  426.    wt: 2:   R Why Learn Mathematics Skills
  427.    wt: 2:   O On Learning Mathematics and Science
  428.    wt: 2:   L Skills with take home value
  429.    wt: 2:   N Improving Marks on Tests and Finals
  430.    wt: 2:   J. More on written work and showing skill
  431.    wt: 2:   H Jigsaw puzzles and problem solving
  432.    wt: 2:   G. Written work formats for developing and showing skill
  433.    wt: 2:   E. When and how to correct errors
  434.    wt: 2:   C. Domino effect of being careful
  435.    wt: 2:   B. Domino effect of errors
  436.    wt: 1:   Appendix 1 primary and preschool mathematic
  437.    wt: 1:   G LAMP Introduction Problem Solving Skills
  438.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  439.    wt: 1:   Skills Chapter 5 Calculus
  440.    wt: 1:   Skills Chapter 4 Logic
  441.    wt: 1:   Skills Chapter 3 Algebra
  442.    wt: 1:   Skills Chapter 2 Geometry
  443.    wt: 1:   Skills Chapter 1 Arithmetic
  444.    wt: 1:   Skills Chapter 0 Introduction
  445.    wt: 1:   7 logic review and decimals an odd combination
  446.    wt: 1:   5 logarithms and exponentials etc
  447.    wt: 1:   2 arithmetic with signed numbers
  448.    wt: 1:   1 arithmetic with unsigned numbers
  449.    wt: 1:   key notes and themes
  450.    wt: 1:   Mathematics Education Professors
  451.    wt: 1:   what should be learnt and When
  452.    wt: 1:   standards for course material
  453.    wt: 1:   Education in mathematics science and technology
  454.    wt: 1:   Different Kinds of Reasoning in maths
  455.    wt: 1:   three kinds of reason in mathematics
  456.    wt: 1:   Motivation and Context Problem
  457.    wt: 1:   fairness and inductive principles for instruction
  458.    wt: 1:   E Kirchoffs Second Law
  459.    wt: 1:   D Kirchoff First Law
  460.    wt: 1:   Home Tutoring and Home Schooling
  461.    wt: 1:   24 Standards For Skill Develoment Take II
  462.    wt: 1:   24 Standards For Skill Develoment
  463.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  464.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  465.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  466.    wt: 1:   17 Math Booklets for children and young teenagers
  467.    wt: 1:   14 Multiplication and Times Tables
  468.    wt: 1:   13 Addition and Addition Tables
  469.    wt: 1:   12 Goals and Objectives For Mathematics
  470.    wt: 1:   11 Help and Defend Your Child or Teens Education
  471.    wt: 1:   8 The Effect of Negative Remarks
  472.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  473.    wt: 1:   5 Patience Please for Yourself and Your Charges
  474.    wt: 1:   4 Learning Takes Time and Effort
  475.    wt: 1:   1 Speaking Skills
  476.    wt: 1:   Ages 12 to 14 Geometry
  477.    wt: 1:   Ages 12 to 14 Arithmetic
  478.    wt: 1:   Ages 10 to 12 Geometry
  479.    wt: 1:   Ages 10 to 12 Arithmetic
  480.    wt: 1:   Ages 9 to 10
  481.    wt: 1:   Ages 8 to 9
  482.    wt: 1:   Ages 7 to 8
  483.    wt: 1:   Ages 6 to 7
  484.    wt: 1:   Ages 4 plus to 5 plus
  485.    wt: 1:   Ages 3 plus to 4 plus
  486.    wt: 1:   sign monoticity analysis example 4
  487.    wt: 1:   sign monoticity analysis example 3
  488.    wt: 1:   sign monoticity analysis example 2
  489.    wt: 1:   sign monoticity analysis example 1
  490.    wt: 1:   26 Function definitions done and coming
  491.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  492.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  493.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  494.    wt: 1:   19 Horizontal line rule and method
  495.    wt: 1:   18 Vertical Line Rule and Method
  496.    wt: 1:   17 Function maxima minima and their location
  497.    wt: 1:   15 Sign analysis of functions
  498.    wt: 1:   13 From one to one to many to one
  499.    wt: 1:   11 Function Domain Range Source and Targets
  500.    wt: 1:   9 Set theory term relation possible origins
  501.    wt: 1:   6 Set Existence Formation and Notation
  502.    wt: 1:   4 Function notation in and beyond mathematics
  503.    wt: 1:   2 Algebraic use of function notation
  504.    wt: 1:   1 Geometric Introduction of Function Notation
  505.    wt: 1:   9 quadratics physical and further context
  506.    wt: 1:   8 quadratics backward use of various formulas
  507.    wt: 1:   4 quadratics difference of two squares
  508.    wt: 1:   11 Growth and Decay in Biology
  509.    wt: 1:   10 Exponential Growth and Decay Models
  510.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  511.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  512.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  513.    wt: 1:   16 cotangent function Definition Graph and Inverse
  514.    wt: 1:   15 cosecant function Definition Graph and Inverse
  515.    wt: 1:   14 secant function Definition Graph and Inverse
  516.    wt: 1:   13 cosecant function Definition Graph and Inverse
  517.    wt: 1:   11 arctan left inverse of tangent Graph
  518.    wt: 1:   10 arctan left inverse of tangent Definition
  519.    wt: 1:   8 arcsin left inverse of sine Graph
  520.    wt: 1:   7 arcsin left inverse of sine Definition
  521.    wt: 1:   6 Graph of arccos function
  522.    wt: 1:   3 Left Inverse of cosine arccos definition
  523.    wt: 1:   7 Radian Measures in special Triangles
  524.    wt: 1:   6 Radian Measure to Degrees
  525.    wt: 1:   5 Degrees to Radian Measure
  526.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  527.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  528.    wt: 1:   A Global Time and Navigation
  529.    wt: 1:   15 Dot and Cross Product
  530.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  531.    wt: 1:   4 graphing y=Asin(x c)
  532.    wt: 1:   3 graphing y=f(x c) plus K
  533.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  534.    wt: 1:   1 graphing y=f(x a)
  535.    wt: 1:   Triangle Angles Sum To 180 Degrees
  536.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  537.    wt: 1:   Straight Lines ASA Intersection Study More
  538.    wt: 1:   Straight Lines ASA Intersection Study
  539.    wt: 1:   Straight Lines Instersection Solving Equations
  540.    wt: 1:   C Straight Lines Slope from Coordinates
  541.    wt: 1:   B Straight Line Slope Scaling Properties More
  542.    wt: 1:   A Straight Line Slope Scaling Properties
  543.    wt: 1:   14 Straight Lines Equations General Case
  544.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  545.    wt: 1:   12 Straight Lines Graphing mx plus b
  546.    wt: 1:   11 Straight Lines Graphing y=mx
  547.    wt: 1:   10 Straight Lines through Origin Equations More
  548.    wt: 1:   9 Straight Lines through Origin Equations
  549.    wt: 1:   8 Straight Lines Equation for vertical
  550.    wt: 1:   7 Tangent Function is odd on this domain
  551.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  552.    wt: 1:   5 Tangent Function Graph
  553.    wt: 1:   4 Tangent Function Properties
  554.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  555.    wt: 1:   1 Straight Lines Slope Concept
  556.    wt: 1:   32 seven rows of pascals triangle
  557.    wt: 1:   30 unit circle calculation of six trigonometric functions
  558.    wt: 1:   29 secant cosecant and cotangent for acute angles
  559.    wt: 1:   28 Expressing products of sines cosines as sums
  560.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  561.    wt: 1:   21 sine and cosine Half Angle Formulas
  562.    wt: 1:   20 sine and cosine Double Angle Formulas
  563.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  564.    wt: 1:   18 sum of sinusoidal waves as a single wave
  565.    wt: 1:   17F Law of cosines
  566.    wt: 1:   17E Trig Formulas for dot and cross Products
  567.    wt: 1:   17D cis formulas for sine cosines and tangent
  568.    wt: 1:   17C sine and cosine double triple angle formulas
  569.    wt: 1:   17A The complex number valued trig function cis
  570.    wt: 1:   12 Graph of tangent function for one period
  571.    wt: 1:   8 period of tangent function
  572.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  573.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  574.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  575.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  576.    wt: 1:   Unit Circle Development of Trigonometry
  577.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  578.    wt: 1:   15 Pythagorean Theorem Converse
  579.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  580.    wt: 1:   7 Second Way to Calculate Products
  581.    wt: 1:   4 Multiplication Properties
  582.    wt: 1:   3 Addition Properties
  583.    wt: 1:   1 Rectangular Polar Coordinates Review
  584.    wt: 1:   8 Triangles Cascade Problem Solving
  585.    wt: 1:   1 Angle Measurement with Degrees
  586.    wt: 1:   Why Trigonometry the whyslopes view
  587.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  588.    wt: 1:   9 Similarity of Triangles Usual Criteria
  589.    wt: 1:   1 Early Concept of Like or Similar Shapes
  590.    wt: 1:   Four Simple Exercises
  591.    wt: 1:   12 Links Lessons elsewhere
  592.    wt: 1:   11 A Partial Summary
  593.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  594.    wt: 1:   8 Mid Point Formula
  595.    wt: 1:   4 Equations for lines three forms
  596.    wt: 1:   3 Slope product for perpendicular lines
  597.    wt: 1:   2 point slope equation for a line
  598.    wt: 1:   13 Pythagorean spatial distance formulas
  599.    wt: 1:   12 Spatial Coordinates
  600.    wt: 1:   11 Triangle Inequality
  601.    wt: 1:   10 Pythagorean plane distance formula
  602.    wt: 1:   8 Distance Between Points on a Line
  603.    wt: 1:   3 Rectangular Coordinates Review
  604.    wt: 1:   2 Cartesian Coordinates with signs
  605.    wt: 1:   1 Cartesian Coordinates sans signs
  606.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  607.    wt: 1:   PS G Rotation Distributes over Addition
  608.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  609.    wt: 1:   PS E Multiplication with Polar Coordinates
  610.    wt: 1:   PS D Addition with Cartesian Coordinates
  611.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  612.    wt: 1:   PS B Parallelogram Construction Methods
  613.    wt: 1:   PS A Kite Construction Methods
  614.    wt: 1:   21 Parallelograms
  615.    wt: 1:   19 Right Triangle Similarity
  616.    wt: 1:   18 Triangle Similarity Take 1
  617.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  618.    wt: 1:   14 Parallel Lines Postulate
  619.    wt: 1:   13 Angle Side Angle Failure
  620.    wt: 1:   12 Side Angle Side Failure
  621.    wt: 1:   11 Triangle Construction Fails
  622.    wt: 1:   10 Dropping a perpendicular to line
  623.    wt: 1:   8 Isoceles Triangles
  624.    wt: 1:   7 Angle Side Angle
  625.    wt: 1:   5 Side Angle Side
  626.    wt: 1:   4 Side Side Side
  627.    wt: 1:   2 Correspondence between Triangles
  628.    wt: 1:   Short Course on Euclidean Geometry
  629.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  630.    wt: 1:   26 More Less Greater Than Comparison
  631.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  632.    wt: 1:   23 Distributive Law Two Derivations
  633.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  634.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  635.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  636.    wt: 1:   15 Head to Tails in place Addition Associative
  637.    wt: 1:   9 Division with Digits after Decimal Point
  638.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  639.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  640.    wt: 1:   2 Counting Digits in Decimal Multiplication
  641.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  642.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  643.    wt: 1:   6 Compound Interest Forward and Backwards
  644.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  645.    wt: 1:   5 Equality in Algebra
  646.    wt: 1:   3 Product Axioms Two Forms
  647.    wt: 1:   1 Equivalent Computation Rules
  648.    wt: 1:   5 Greater More Less Than Signs in General
  649.    wt: 1:   9 Coordinates for Regions in Space
  650.    wt: 1:   2 Integers
  651.    wt: 1:   5 Independent versus Dependent Variables
  652.    wt: 1:   4 Changing Letters
  653.    wt: 1:   2 Computation Rules Evaluation
  654.    wt: 1:   4 GE III Animated Examples
  655.    wt: 1:   3 GE III Equation Addition and Multiplication
  656.    wt: 1:   1 GE Substitution four examples
  657.    wt: 1:   6 Algebraic Solution Example
  658.    wt: 1:   4 Four Examples Fractional Coefficients
  659.    wt: 1:   3 Four Examples
  660.    wt: 1:   2 Three Examples
  661.    wt: 1:   11 Volume of Sphere
  662.    wt: 1:   10 Volume of Pyramid
  663.    wt: 1:   9 Volume of Cone
  664.    wt: 1:   1 Written work formats for developing and showing skill
  665.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  666.    wt: 1:   9 Sets in Probability and Statistics
  667.    wt: 1:   6 Three Notions of What is a Variable
  668.    wt: 1:   1 Three Skills For Algebra
  669.    wt: 1:   014 Counting Days with Calendars
  670.    wt: 1:   013 Travel Time Tables
  671.    wt: 1:   6 How long is a million seconds
  672.    wt: 1:   5 Conversion Arithmetic
  673.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  674.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  675.    wt: 1:   Example 3
  676.    wt: 1:   Example 2
  677.    wt: 1:   Example 1
  678.    wt: 1:   Area Between Curves Lesson Take 2
  679.    wt: 1:   Area Between Curves Lesson Take 1
  680.    wt: 1:   Summary
  681.    wt: 1:   A Chain Rule Real Player video examples
  682.    wt: 1:   34 Derivative of exponential function
  683.    wt: 1:   33 Chain Rule Real Player video examples
  684.    wt: 1:   31 Derivatives of inverse functions
  685.    wt: 1:   30Chain Rule A Proof
  686.    wt: 1:   28 Chain Rule Preparation for a Proof
  687.    wt: 1:   25 Chain Rule Animated Examples Continued
  688.    wt: 1:   24 Chain Rule Animated Examples
  689.    wt: 1:   15 sine and cosine derivatives 3rd step
  690.    wt: 1:   14 sine and cosine derivatives 2nd step
  691.    wt: 1:   13 sine and cosine derivatives 1st step
  692.    wt: 1:   12 Quotient rule examples
  693.    wt: 1:   8 Differentiation of polynomials
  694.    wt: 1:   7 Animated Differentiation Examples
  695.    wt: 1:   10 Three one sided limits with infinite values
  696.    wt: 1:   7 Evaluation by immediate or delayed substitution
  697.    wt: 1:   6 Continuity at a point
  698.    wt: 1:   4 Numerical properties
  699.    wt: 1:   3 Decimal insights for limits continuity convergence
  700.    wt: 1:   2 Algebraic codification
  701.    wt: 1:   1 Numerical introduction
  702.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  703.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  704.    wt: 1:   G.3 Constant Difference Theorem Proof
  705.    wt: 1:   E2 Algebraic Properties of Limits
  706.    wt: 1:   D2 Limits of Monotone Sequences
  707.    wt: 1:   PostScript For and Against Decimal Perspectives
  708.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  709.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  710.    wt: 1:   Chapter 22 Complex Numbers
  711.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  712.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  713.    wt: 1:   Chapter 12. Units and Slopes
  714.    wt: 1:   Chapter 10 Slopes and Units
  715.    wt: 1:   Chapter 7 Slopes and Velocity
  716.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  717.    wt: 1:   Chapter 2. Slopes and Ski Trails
  718.    wt: 1:   Postscript More on Better Performance
  719.    wt: 1:   Postscript For Better Performance
  720.    wt: 1:   Appendix C. How to Read
  721.    wt: 1:   Appendix B. How To Learn
  722.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  723.    wt: 1:   Chapter 30 Truth Tables
  724.    wt: 1:   Chapter 28 Occurrence Tables
  725.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  726.    wt: 1:   Chapter 23. Notation For Sums
  727.    wt: 1:   Chapter 21. Third Reading Guide
  728.    wt: 1:   Chapter 18. Rules for Algebra
  729.    wt: 1:   Chapter 16. Painless Theorem Proving
  730.    wt: 1:   Chapter 15. Solving Linear Equations
  731.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  732.    wt: 1:   Chapter 13. Second Reading Guide
  733.    wt: 1:   Postscript What is a Variable
  734.    wt: 1:   Solutions For Arithmetic Exercises
  735.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  736.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  737.    wt: 1:   Foreword
  738.    wt: 1:   Chapter 7 Two Treatments of Geometry
  739.    wt: 1:   Chapter 2 For and Against Mathematics
  740.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  741.    wt: 1:   Postscript B More on Story Telling and Reason
  742.    wt: 1:   Chapter 24 Direct and Indirect Reason
  743.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  744.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  745.    wt: 1:   Chapter 18 Sense and Knowledge
  746.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  747.    wt: 1:   Chapter 8 Change of Language
  748.    wt: 1:   Chapter 7 Longer Chains of Reason
  749.    wt: 1:   Chapter 6 Chains of Reason
  750.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  751.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  752.    wt: 1:   S Adding words to algebra
  753.    wt: 1:   N Mathematics Prepare for College Studies
  754.    wt: 1:   M Words to extend arithmetic
  755.    wt: 1:   H more Routine to non routine problem solving
  756.    wt: 1:   F. The student teacher tutor feedback loop
  757.    wt: 1:   D. Check work a must with a caution
  758.    wt: 1:   A. Skill has to be seen to believed
  759.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  760.    wt: 1:   Chapter 8 Skipped Topics and Why
  761.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  762.    wt: 1:   Chapter 6 More Algebra and Geometry
  763.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  764.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  765.    wt: 1:   Helping the Blind in Logic and Mathematics
  766.    wt: 1:   More Algebra and Slope based Calculus Preview
  767.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  768.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  769.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  770.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  771.    wt: 1:   The Math Forum and Site Content
  772.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  773.    wt: 12:   B Fractions and Two Term Ratios
  774.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  775.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  776.    wt: 12:   9 Improper Fractions and Mixed Numbers
  777.    wt: 11:   21 Reciprocals for Fractions and Wholes
  778.    wt: 11:   6 Multiplication of Mixed Numbers
  779.    wt: 10:   3 Comparison of Negative Numbers
  780.    wt: 10:   1 More and Less Than for Counts and Measures
  781.    wt: 10:   D Three Term Ratios
  782.    wt: 10:   22 Complex Compound Fractions
  783.    wt: 10:   20 Dividing Fractions the Why
  784.    wt: 10:   19 Dividing Fractions How TO
  785.    wt: 10:   17 Efficient Ways to Add and Subtract
  786.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  787.    wt: 10:   14 Adding and Subtracting with Like Denominators
  788.    wt: 10:   5 Equivalent Fractions
  789.    wt: 10:   3 Unit fraction of a fraction

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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