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

Web Page Search

497 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:   22 Multiplication of Signed Numbers
  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:   6 Multiplication of Mixed Numbers
  12.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  13.    wt: 3:   Quick history of numbers and algebra
  14.    wt: 3:   17 Derivatives of quotients of sine and cosine
  15.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  16.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  17.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  18.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  19.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  20.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  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:   14 Multiplication and Times Tables
  26.    wt: 2:   2 Reading and Writing Skills
  27.    wt: 2:   8 Set view of relations and functions
  28.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 2:   4 Resultant of a Sum of Movements
  30.    wt: 2:   Vector and Complex Number Applet
  31.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  32.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  33.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  34.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  35.    wt: 2:   26 Formulas for products of sines and cosines
  36.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  37.    wt: 2:   14 cosine even and sine and tangent are odd
  38.    wt: 2:   10 Graphs of sines and cosines many periods
  39.    wt: 2:   9 Graphs of sine and cosine over one period
  40.    wt: 2:   7 period of sine and cosine
  41.    wt: 2:   20 N th Roots of Complex Numbers
  42.    wt: 2:   6 Field Properties of Complex Number
  43.    wt: 2:   5 An Easy Proof of the Distributive Law
  44.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  45.    wt: 2:   3 Trigonometric Ratios sine and cosine
  46.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  47.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  48.    wt: 2:   8 Similarity of Triangles and Polygons
  49.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  50.    wt: 2:   10 Midpoint of [a b] and [b a]
  51.    wt: 2:   1 Numerical view of lines and their equations
  52.    wt: 2:   6 Polar Multiplication and Rotation
  53.    wt: 2:   3 Lengths and Areas on Maps and Plans
  54.    wt: 2:   21 Addition of Multiples of a Single Vector
  55.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  56.    wt: 2:   11 Signed Number Addition and Addition Properties
  57.    wt: 2:   3 Location of Point in Decimal Multiplication
  58.    wt: 2:   2 Combing Counts Addition Skills and Principles
  59.    wt: 2:   1 The Counting Origins of Numbers
  60.    wt: 2:   4 Rates Ratios and Proporitionality
  61.    wt: 2:   2 Addition and Multiplication Axioms
  62.    wt: 2:   4 Comparison of Negative Numbers
  63.    wt: 2:   2 More and Less Than for Counts and Measures
  64.    wt: 2:   14 Real Number Multiplication
  65.    wt: 2:   10 Real Number Lengths and Signs
  66.    wt: 2:   1 Whole and Natural Numbers
  67.    wt: 2:   3 GE III Equation Addition and Multiplication
  68.    wt: 2:   8 Sets of Numbers
  69.    wt: 2:   5 Talking about Numbers and Quantities
  70.    wt: 2:   3 Comparison of Negative Numbers
  71.    wt: 2:   1 More and Less Than for Counts and Measures
  72.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  73.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  74.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  75.    wt: 2:   4 LCM of 8 and 10 via Prime
  76.    wt: 2:   11 What are real lengths and numbers
  77.    wt: 2:   2 signed and unsigned numbers as coordinates
  78.    wt: 2:   6 Simplification of Fractions with Units
  79.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  80.    wt: 2:   3 Multiplying Units and Numbers
  81.    wt: 2:   21 Reciprocals for Fractions and Wholes
  82.    wt: 2:   8 Multiplication by Signed Numbers Integers
  83.    wt: 2:   6 Multiplication by Natural Numbers
  84.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  85.    wt: 2:   8 What skills and work habits to require
  86.    wt: 2:   6. Counting and adding units and mixed units
  87.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  88.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  89.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  90.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  91.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  92.    wt: 2:   Exact Arithmetic Wholes and Fractions
  93.    wt: 2:   011 Division of Time Intervals By Numbers
  94.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  95.    wt: 2:   4 Mixing and Changing Units of Time
  96.    wt: 2:   3 Units and Lengths of Time
  97.    wt: 2:   1 Intro of Kids To Time Date Skills
  98.    wt: 2:   38 Formulas and derivatives for powers and roots
  99.    wt: 2:   5 Jumps and absence of unlimited error control
  100.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  101.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  102.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  103.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  104.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  105.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  106.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  107.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  108.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  109.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  110.    wt: 2:   I. Logic and language skills
  111.    wt: 2:   How to Build Skills and Confidence
  112.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  113.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  114.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  115.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  116.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  117.    wt: 1:   Appendix 1 primary and preschool mathematic
  118.    wt: 1:   G LAMP Introduction Problem Solving Skills
  119.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  120.    wt: 1:   Skills Chapter 5 Calculus
  121.    wt: 1:   Skills Chapter 4 Logic
  122.    wt: 1:   Skills Chapter 3 Algebra
  123.    wt: 1:   Skills Chapter 2 Geometry
  124.    wt: 1:   Skills Chapter 1 Arithmetic
  125.    wt: 1:   Skills Chapter 0 Introduction
  126.    wt: 1:   7 logic review and decimals an odd combination
  127.    wt: 1:   5 logarithms and exponentials etc
  128.    wt: 1:   2 arithmetic with signed numbers
  129.    wt: 1:   1 arithmetic with unsigned numbers
  130.    wt: 1:   key notes and themes
  131.    wt: 1:   Mathematics Education Professors
  132.    wt: 1:   what should be learnt and When
  133.    wt: 1:   standards for course material
  134.    wt: 1:   Education in mathematics science and technology
  135.    wt: 1:   Different Kinds of Reasoning in maths
  136.    wt: 1:   three kinds of reason in mathematics
  137.    wt: 1:   Motivation and Context Problem
  138.    wt: 1:   fairness and inductive principles for instruction
  139.    wt: 1:   E Kirchoffs Second Law
  140.    wt: 1:   D Kirchoff First Law
  141.    wt: 1:   Home Tutoring and Home Schooling
  142.    wt: 1:   24 Standards For Skill Develoment Take II
  143.    wt: 1:   24 Standards For Skill Develoment
  144.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  145.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  146.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  147.    wt: 1:   17 Math Booklets for children and young teenagers
  148.    wt: 1:   13 Addition and Addition Tables
  149.    wt: 1:   12 Goals and Objectives For Mathematics
  150.    wt: 1:   11 Help and Defend Your Child or Teens Education
  151.    wt: 1:   8 The Effect of Negative Remarks
  152.    wt: 1:   5 Patience Please for Yourself and Your Charges
  153.    wt: 1:   4 Learning Takes Time and Effort
  154.    wt: 1:   1 Speaking Skills
  155.    wt: 1:   Ages 12 to 14 Skills with take home value
  156.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  157.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  158.    wt: 1:   26 Function definitions done and coming
  159.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  160.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  161.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  162.    wt: 1:   19 Horizontal line rule and method
  163.    wt: 1:   18 Vertical Line Rule and Method
  164.    wt: 1:   17 Function maxima minima and their location
  165.    wt: 1:   15 Sign analysis of functions
  166.    wt: 1:   11 Function Domain Range Source and Targets
  167.    wt: 1:   9 Set theory term relation possible origins
  168.    wt: 1:   6 Set Existence Formation and Notation
  169.    wt: 1:   4 Function notation in and beyond mathematics
  170.    wt: 1:   2 Algebraic use of function notation
  171.    wt: 1:   1 Geometric Introduction of Function Notation
  172.    wt: 1:   9 quadratics physical and further context
  173.    wt: 1:   8 quadratics backward use of various formulas
  174.    wt: 1:   6 quadratics numerical approach
  175.    wt: 1:   4 quadratics difference of two squares
  176.    wt: 1:   11 Growth and Decay in Biology
  177.    wt: 1:   10 Exponential Growth and Decay Models
  178.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  179.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  180.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  181.    wt: 1:   3 Polynomials Multiplication Addition
  182.    wt: 1:   2 Column Multiplication Method
  183.    wt: 1:   16 cotangent function Definition Graph and Inverse
  184.    wt: 1:   15 cosecant function Definition Graph and Inverse
  185.    wt: 1:   14 secant function Definition Graph and Inverse
  186.    wt: 1:   13 cosecant function Definition Graph and Inverse
  187.    wt: 1:   11 arctan left inverse of tangent Graph
  188.    wt: 1:   10 arctan left inverse of tangent Definition
  189.    wt: 1:   8 arcsin left inverse of sine Graph
  190.    wt: 1:   7 arcsin left inverse of sine Definition
  191.    wt: 1:   6 Graph of arccos function
  192.    wt: 1:   3 Left Inverse of cosine arccos definition
  193.    wt: 1:   9 Summary Degrees to Radians and back
  194.    wt: 1:   8 Radian Measures of Common Angles
  195.    wt: 1:   2 Radian Measure Numerical Value of one degree
  196.    wt: 1:   1 Degrees and Radians Introduction
  197.    wt: 1:   A Global Time and Navigation
  198.    wt: 1:   15 Dot and Cross Product
  199.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  200.    wt: 1:   Parallel Lines and Parallel Transversals
  201.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  202.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  203.    wt: 1:   Parallel Lines and Interior Angles
  204.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  205.    wt: 1:   Straight Lines Intersection of
  206.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  207.    wt: 1:   32 seven rows of pascals triangle
  208.    wt: 1:   30 unit circle calculation of six trigonometric functions
  209.    wt: 1:   29 secant cosecant and cotangent for acute angles
  210.    wt: 1:   28 Expressing products of sines cosines as sums
  211.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  212.    wt: 1:   21 sine and cosine Half Angle Formulas
  213.    wt: 1:   20 sine and cosine Double Angle Formulas
  214.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  215.    wt: 1:   18 sum of sinusoidal waves as a single wave
  216.    wt: 1:   17F Law of cosines
  217.    wt: 1:   17E Trig Formulas for dot and cross Products
  218.    wt: 1:   17D cis formulas for sine cosines and tangent
  219.    wt: 1:   17C sine and cosine double triple angle formulas
  220.    wt: 1:   17A The complex number valued trig function cis
  221.    wt: 1:   13 Graph of tangent function many periods
  222.    wt: 1:   12 Graph of tangent function for one period
  223.    wt: 1:   8 period of tangent function
  224.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  225.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  226.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  227.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  228.    wt: 1:   Unit Circle Development of Trigonometry
  229.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  230.    wt: 1:   21 Logarithms Powers and Exponentials
  231.    wt: 1:   19 N th Roots of Unity
  232.    wt: 1:   18 Sixth Roots of Unity
  233.    wt: 1:   17 Cube Roots of unity
  234.    wt: 1:   16 References and Originality Question
  235.    wt: 1:   14 Law of cosines
  236.    wt: 1:   13 Trig Formulas for dot and cross Products
  237.    wt: 1:   12 cis formulas for sine cosines and tangent
  238.    wt: 1:   11 sine and cosine double triple angle formulas
  239.    wt: 1:   9 The complex number valued trig function cis
  240.    wt: 1:   8 Unit Circle Development of Trigonometry
  241.    wt: 1:   4 Multiplication Properties
  242.    wt: 1:   2 Complex Numbers made easier we hope
  243.    wt: 1:   Appetizer A Complex Number Applet
  244.    wt: 1:   7 Trignometric Ratios Unit Circle
  245.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  246.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  247.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  248.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  249.    wt: 1:   9 Similarity of Triangles Usual Criteria
  250.    wt: 1:   1 Early Concept of Like or Similar Shapes
  251.    wt: 1:   7 Exercises to test skill and concept mastery
  252.    wt: 1:   6 Intersection of lines by solving linear systems
  253.    wt: 1:   5 Algebraic View of Slopes
  254.    wt: 1:   What is and is not here
  255.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  256.    wt: 1:   7 Complex Numbers Appetizer
  257.    wt: 1:   5 Cartesian Addition and Translation
  258.    wt: 1:   4 Polar Coordinates to and from
  259.    wt: 1:   PS H Distributive Law For Complex Numbers
  260.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  261.    wt: 1:   PS E Multiplication with Polar Coordinates
  262.    wt: 1:   17 Right Bisectors of Triangle Sides
  263.    wt: 1:   16 Angles Subtended By Chords and Diameters
  264.    wt: 1:   9 Construction of a right bisector
  265.    wt: 1:   6 Ruler and compass Angle Bisection
  266.    wt: 1:   3 Isometry of Triangles Congruence
  267.    wt: 1:   1 Initial Concepts and Terms
  268.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  269.    wt: 1:   musings do not puiblish real numbers
  270.    wt: 1:   A Modular and Remainder Arithmetic
  271.    wt: 1:   A Signed Number Arithmetic Review
  272.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  273.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  274.    wt: 1:   19 Signed Multiples of Vectors
  275.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  276.    wt: 1:   13 Arrows and Vectors in a Plane
  277.    wt: 1:   12 Real Numbers Line Signed Coordinates
  278.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  279.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  280.    wt: 1:   4 Location of Point in Decimal Addition
  281.    wt: 1:   2 Counting Digits in Decimal Multiplication
  282.    wt: 1:   1 Fractions with Finite Decimal Expansions
  283.    wt: 1:   B Decimal Comparison and Subtraction
  284.    wt: 1:   8 Column Multiplication Methods in General
  285.    wt: 1:   7 Decimals Multiplication Methods Examples
  286.    wt: 1:   6 Column Methods for Decimal Multiplication
  287.    wt: 1:   5 Distributive Law for Whole Numbers
  288.    wt: 1:   3 Multiplicative Counting Skills Principles
  289.    wt: 1:   5 Areas of Rectangles Revisited
  290.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  291.    wt: 1:   5 Proportionality in Equivalent Fractions
  292.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  293.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  294.    wt: 1:   6 Compound Interest Forward and Backwards
  295.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  296.    wt: 1:   6 Equations and Systems Equivalent or Implied
  297.    wt: 1:   4 Subtraction and Division Axioms
  298.    wt: 1:   3 More and Less Than with Unlike Signs
  299.    wt: 1:   1 Real Numbers Comparison
  300.    wt: 1:   16 Real Numbers Comparison
  301.    wt: 1:   15 Real Number Division
  302.    wt: 1:   13 Real Number Subtraction
  303.    wt: 1:   12 Real Number Additive Inverses or Negatives
  304.    wt: 1:   11 Real Number Addition
  305.    wt: 1:   8 Coordinates for Maps and Planes
  306.    wt: 1:   7 Real Numbers as Line Cordinates
  307.    wt: 1:   6 Unsigned Real Numbers
  308.    wt: 1:   5 Rational Numbers More
  309.    wt: 1:   4 Rational Numbers
  310.    wt: 1:   3 Fractions
  311.    wt: 1:   3 Geometric Formulas and Function Notation
  312.    wt: 1:   1 Formulas Dependence and Function Notation
  313.    wt: 1:   11 Volume of Sphere
  314.    wt: 1:   10 Volume of Pyramid
  315.    wt: 1:   9 Volume of Cone
  316.    wt: 1:   2 Another Rectangle Area Formula Example
  317.    wt: 1:   1 Written work formats for developing and showing skill
  318.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  319.    wt: 1:   9 Sets in Probability and Statistics
  320.    wt: 1:   6 Three Notions of What is a Variable
  321.    wt: 1:   1 Three Skills For Algebra
  322.    wt: 1:   2 More and Less Than with Unlike Signs
  323.    wt: 1:   3 Properties of Square Roots with example
  324.    wt: 1:   1 Squares and Square Roots Introduction
  325.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  326.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  327.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  328.    wt: 1:   7 GCD and LCM from prime factorization
  329.    wt: 1:   3 Counting with Tables and Trees II
  330.    wt: 1:   2 Counting with Tables and Trees I
  331.    wt: 1:   1 Counting and Counting Methods I
  332.    wt: 1:   10 dividing signed numbers
  333.    wt: 1:   9 subtracting signed numbers
  334.    wt: 1:   8 multiplying signed numbers
  335.    wt: 1:   7 negative and additive inverse
  336.    wt: 1:   6 adding signed numbers
  337.    wt: 1:   3 signed coordinates for maps and planes
  338.    wt: 1:   4 Fractions with Units
  339.    wt: 1:   2 Equality and Units
  340.    wt: 1:   1 Addition and Subtraction with Units
  341.    wt: 1:   D Three Term Ratios
  342.    wt: 1:   22 Complex Compound Fractions
  343.    wt: 1:   20 Dividing Fractions the Why
  344.    wt: 1:   19 Dividing Fractions How TO
  345.    wt: 1:   17 Efficient Ways to Add and Subtract
  346.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  347.    wt: 1:   14 Adding and Subtracting with Like Denominators
  348.    wt: 1:   6 Multiplication Algebraically Take II
  349.    wt: 1:   5 Equivalent Fractions
  350.    wt: 1:   4 Fraction Multiplication
  351.    wt: 1:   3 Unit fraction of a fraction
  352.    wt: 1:   2 Unit Fraction Multiplication
  353.    wt: 1:   11 Adding Integers Formulas and Examples
  354.    wt: 1:   10 Integer Multiplication Formulas
  355.    wt: 1:   7 Multiplication by Signs
  356.    wt: 1:   5 Zero Movement and Additive Inverses
  357.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  358.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  359.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  360.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  361.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  362.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  363.    wt: 1:   20 Uniqueness of Prime Factorization
  364.    wt: 1:   17 Identify and Count Factors using Primes
  365.    wt: 1:   16 video Factors of 980 using prime
  366.    wt: 1:   15 video Factors of 20 using Prime Factorization
  367.    wt: 1:   14 video Factors of 24 Take II
  368.    wt: 1:   13 video Factors of 24 using prime
  369.    wt: 1:   12 LCD GCD and LCM using Primes
  370.    wt: 1:   7 Calculator Usage Notes and Cautions
  371.    wt: 1:   5 Prime Factorization and a Square Rule
  372.    wt: 1:   3 video Primes and Composites from 9 times table
  373.    wt: 1:   2 Prime and Composites less than 16
  374.    wt: 1:   Division with Counts and Length
  375.    wt: 1:   Long Division forwards and backwards Example 3
  376.    wt: 1:   Long Division forwards and backwards Example 2
  377.    wt: 1:   Long Division forwards and backwards Example 1
  378.    wt: 1:   11 Another Single Digit Divisor Example
  379.    wt: 1:   10 Division by Five Long and Short Ways
  380.    wt: 1:   D Decimal Multiplication Methods Derived
  381.    wt: 1:   C Counting Areas with Powers of Ten
  382.    wt: 1:   B Powers of Ten
  383.    wt: 1:   A Elementary Basis for Multiplication Methods
  384.    wt: 1:   6 Multiplication Commutes Order Not Important
  385.    wt: 1:   5 Decimal Fraction Multiplication
  386.    wt: 1:   4 Two and Three Digit Multipliers
  387.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  388.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  389.    wt: 1:   Subtraction Another Video Lesson
  390.    wt: 1:   8 Subtraction with Units of Measure
  391.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  392.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  393.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  394.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  395.    wt: 1:   7 Adding decimal fractions using decimal point
  396.    wt: 1:   11 Place Value SI Standard International way
  397.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  398.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  399.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  400.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  401.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  402.    wt: 1:   016 Numbering Occidental Calendar Days
  403.    wt: 1:   015 School and work day counting tables
  404.    wt: 1:   012 Division of Time Intervals by Time Intervals
  405.    wt: 1:   010 Repeated Addition of Time Intervals
  406.    wt: 1:   8 Addition of Time Intervals via subtotaling
  407.    wt: 1:   7 Addition of Time Intervals
  408.    wt: 1:   2 Time and Date Matters in School
  409.    wt: 1:   Example 2 volume of a cone
  410.    wt: 1:   Example 1 volume of a pyramid
  411.    wt: 1:   Volume of Solid by Cross Sections Lesson
  412.    wt: 1:   Example 1. Area Between x and x squared
  413.    wt: 1:   Example 4 with x function of y
  414.    wt: 1:   34 Derivative of exponential function
  415.    wt: 1:   31 Derivatives of inverse functions
  416.    wt: 1:   30Chain Rule A Proof
  417.    wt: 1:   28 Chain Rule Preparation for a Proof
  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:   8 Differentiation of polynomials
  422.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  423.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  424.    wt: 1:   9 Limits Continuity and Composition
  425.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  426.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  427.    wt: 1:   G.3 Constant Difference Theorem Proof
  428.    wt: 1:   E2 Algebraic Properties of Limits
  429.    wt: 1:   D2 Limits of Monotone Sequences
  430.    wt: 1:   PostScript For and Against Decimal Perspectives
  431.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  432.    wt: 1:   Chapter 22 Complex Numbers
  433.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  434.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  435.    wt: 1:   Chapter 12. Units and Slopes
  436.    wt: 1:   Chapter 10 Slopes and Units
  437.    wt: 1:   Chapter 7 Slopes and Velocity
  438.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  439.    wt: 1:   Chapter 2. Slopes and Ski Trails
  440.    wt: 1:   Appendix E. How To Study Mathematics and Why
  441.    wt: 1:   Appendix D. What to do in School and Why
  442.    wt: 1:   Chapter 31 Direct and Indirect Reason
  443.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  444.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  445.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  446.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  447.    wt: 1:   Chapter 20. Degrees and Radians
  448.    wt: 1:   Chapter 19. Functions and Sets
  449.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  450.    wt: 1:   Chapter 12. Shorthand Usage Guide
  451.    wt: 1:   Chapter 11. Why Shorthand
  452.    wt: 1:   Chapter 10 Describing and Changing Calculations
  453.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  454.    wt: 1:   Chapter 8 Three Skills For Algebra
  455.    wt: 1:   Chapter 6 Change of Language
  456.    wt: 1:   Chapter 4 Longer Chains of Reason
  457.    wt: 1:   Chapter 3 Chains of Reason
  458.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  459.    wt: 1:   Chapter 7 Two Treatments of Geometry
  460.    wt: 1:   Chapter 2 For and Against Mathematics
  461.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  462.    wt: 1:   Postscript B More on Story Telling and Reason
  463.    wt: 1:   Chapter 24 Direct and Indirect Reason
  464.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  465.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  466.    wt: 1:   Chapter 18 Sense and Knowledge
  467.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  468.    wt: 1:   Chapter 8 Change of Language
  469.    wt: 1:   Chapter 7 Longer Chains of Reason
  470.    wt: 1:   Chapter 6 Chains of Reason
  471.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  472.    wt: 1:   R Why Learn Mathematics Skills
  473.    wt: 1:   O On Learning Mathematics and Science
  474.    wt: 1:   L Skills with take home value
  475.    wt: 1:   N Improving Marks on Tests and Finals
  476.    wt: 1:   J. More on written work and showing skill
  477.    wt: 1:   H Jigsaw puzzles and problem solving
  478.    wt: 1:   G. Written work formats for developing and showing skill
  479.    wt: 1:   E. When and how to correct errors
  480.    wt: 1:   C. Domino effect of being careful
  481.    wt: 1:   B. Domino effect of errors
  482.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  483.    wt: 1:   Chapter 8 Skipped Topics and Why
  484.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  485.    wt: 1:   Chapter 6 More Algebra and Geometry
  486.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  487.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  488.    wt: 1:   7 Games and Activities for Instruction
  489.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  490.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  491.    wt: 1:   Helping the Blind in Logic and Mathematics
  492.    wt: 1:   More Algebra and Slope based Calculus Preview
  493.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  494.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  495.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  496.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  497.    wt: 1:   The Math Forum and Site Content

Extended Search

781 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:   1 What is a fraction Take II
  15.    wt: 9:   1 What is a fraction
  16.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  17.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  18.    wt: 8:   4 Greater More Less Than Signs in General
  19.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  20.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  21.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  22.    wt: 8:   4 LCM of 8 and 10 via Prime
  23.    wt: 8:   11 What are real lengths and numbers
  24.    wt: 8:   2 signed and unsigned numbers as coordinates
  25.    wt: 8:   4 Fractions with Units
  26.    wt: 8:   2 Equality and Units
  27.    wt: 8:   1 Addition and Subtraction with Units
  28.    wt: 8:   6 Multiplication by Natural Numbers
  29.    wt: 8:   6 Multiplication Commutes Order Not Important
  30.    wt: 8:   8 What skills and work habits to require
  31.    wt: 8:   6. Counting and adding units and mixed units
  32.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  33.    wt: 8:   Quick history of numbers and algebra
  34.    wt: 7:   3 Properties of Square Roots with example
  35.    wt: 7:   1 Squares and Square Roots Introduction
  36.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  37.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  38.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  39.    wt: 7:   7 GCD and LCM from prime factorization
  40.    wt: 7:   3 Counting with Tables and Trees II
  41.    wt: 7:   2 Counting with Tables and Trees I
  42.    wt: 7:   1 Counting and Counting Methods I
  43.    wt: 7:   10 dividing signed numbers
  44.    wt: 7:   9 subtracting signed numbers
  45.    wt: 7:   8 multiplying signed numbers
  46.    wt: 7:   7 negative and additive inverse
  47.    wt: 7:   6 adding signed numbers
  48.    wt: 7:   3 signed coordinates for maps and planes
  49.    wt: 7:   7 Converting or Changing Units
  50.    wt: 7:   8 Multiplication by Signed Numbers Integers
  51.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  52.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  53.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  54.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  55.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  56.    wt: 7:   20 Uniqueness of Prime Factorization
  57.    wt: 7:   17 Identify and Count Factors using Primes
  58.    wt: 7:   16 video Factors of 980 using prime
  59.    wt: 7:   15 video Factors of 20 using Prime Factorization
  60.    wt: 7:   14 video Factors of 24 Take II
  61.    wt: 7:   13 video Factors of 24 using prime
  62.    wt: 7:   12 LCD GCD and LCM using Primes
  63.    wt: 7:   7 Calculator Usage Notes and Cautions
  64.    wt: 7:   5 Prime Factorization and a Square Rule
  65.    wt: 7:   3 video Primes and Composites from 9 times table
  66.    wt: 7:   2 Prime and Composites less than 16
  67.    wt: 7:   D Decimal Multiplication Methods Derived
  68.    wt: 7:   C Counting Areas with Powers of Ten
  69.    wt: 7:   B Powers of Ten
  70.    wt: 7:   A Elementary Basis for Multiplication Methods
  71.    wt: 7:   5 Decimal Fraction Multiplication
  72.    wt: 7:   4 Two and Three Digit Multipliers
  73.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  74.    wt: 7:   Video Decimal Multiplication Geometric View Example 2
  75.    wt: 7:   Subtraction Another Video Lesson
  76.    wt: 7:   8 Subtraction with Units of Measure
  77.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  78.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  79.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  80.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  81.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  82.    wt: 7:   7 Adding decimal fractions using decimal point
  83.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  84.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  85.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  86.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  87.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  88.    wt: 7:   Exact Arithmetic Wholes and Fractions
  89.    wt: 6:   5 Square Roots with primes more still
  90.    wt: 6:   4 Square Roots with primes more
  91.    wt: 6:   2 Square Roots with Prime
  92.    wt: 6:   13 GCD from given Prime Factorization
  93.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  94.    wt: 6:   8 GCD from Euclidean Algorithm
  95.    wt: 6:   6 GCD from Prime
  96.    wt: 6:   5 Common Divisors 60 45 via Prime
  97.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  98.    wt: 6:   2 Least Common Multiple LCM intro via list method
  99.    wt: 6:   1 Least Common Multiples LCM Introduction
  100.    wt: 6:   12 GCD 2700 288 via Prime
  101.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  102.    wt: 6:   4 Counting with Trees Product Rule Take I
  103.    wt: 6:   4 signed coordinates for regions in space
  104.    wt: 6:   11 Adding Integers Formulas and Examples
  105.    wt: 6:   10 Integer Multiplication Formulas
  106.    wt: 6:   7 Multiplication by Signs
  107.    wt: 6:   5 Zero Movement and Additive Inverses
  108.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  109.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  110.    wt: 6:   26 Divisibility by 2 3 5 Example
  111.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  112.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  113.    wt: 6:   23 Remainder Arithmetic Modulo 2
  114.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  115.    wt: 6:   21 Remainder Arithmetic Modulo 3
  116.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  117.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  118.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  119.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  120.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  121.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  122.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  123.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  124.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  125.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  126.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  127.    wt: 6:   5 Remainder Arithmetic Modulo 5
  128.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  129.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  130.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  131.    wt: 6:   1 Remainder Arithmetic Modulo 10
  132.    wt: 6:   19 video Prime Factorization Unique
  133.    wt: 6:   18 video Count Factors given Prime Factorization
  134.    wt: 6:   11 Efficient Square Rule Use
  135.    wt: 6:   10 video Prime Factorization upto 23 squared
  136.    wt: 6:   9 video Prime Factorization upto 19 squared
  137.    wt: 6:   8 video Prime Factorization upto 19
  138.    wt: 6:   4 video Prime Factorization Introduction
  139.    wt: 6:   1 video how Products are bigger than factor
  140.    wt: 6:   Division with Counts and Length
  141.    wt: 6:   Long Division forwards and backwards Example 3
  142.    wt: 6:   Long Division forwards and backwards Example 2
  143.    wt: 6:   Long Division forwards and backwards Example 1
  144.    wt: 6:   11 Another Single Digit Divisor Example
  145.    wt: 6:   10 Division by Five Long and Short Ways
  146.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  147.    wt: 6:   3 More One Digit Multipliers
  148.    wt: 6:   2 One Digit Multipliers
  149.    wt: 6:   Video Power Notation in Decimal Expansion
  150.    wt: 6:   1 Why 3 times 5 gives 15
  151.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  152.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  153.    wt: 6:   Subtraction with J Conversions Example
  154.    wt: 6:   9 22 Minute Subtraction Review Video
  155.    wt: 6:   5 A Tip for Efficent Subtraction
  156.    wt: 6:   2 Subtraction Easy Case Examples
  157.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  158.    wt: 6:   5. How to add decimals C. Examples
  159.    wt: 6:   4. How to add with decimals B with conversions
  160.    wt: 6:   3. How to add with decimals A sans conversions
  161.    wt: 6:   2 Decimal Counting Practices
  162.    wt: 6:   1. Explaining Addition Table
  163.    wt: 6:   11 Place Value SI Standard International way
  164.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  165.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  166.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  167.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  168.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  169.    wt: 5:   arithmetic videos Real Player Format
  170.    wt: 5:   D Remainders Modulo 11 Pair Rule
  171.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  172.    wt: 5:   B Integer Long Division Multiple Choices
  173.    wt: 5:   A Associative Law Theorectical Note
  174.    wt: 5:   13 Subtraction with Additive Inverse
  175.    wt: 5:   12 Adding Integers More Examples
  176.    wt: 5:   9 Multiplying Integers
  177.    wt: 5:   4 Adding Movements wiht opposite directions
  178.    wt: 5:   3 Adding Movements with same direction
  179.    wt: 5:   1 Integers as Coordinates
  180.    wt: 5:   Long Division Backwards more
  181.    wt: 5:   Long Division Backward
  182.    wt: 5:   12 Why Long Division Works Take III
  183.    wt: 5:   9 Why Long Division Works Take II
  184.    wt: 5:   8 Correcting the Mistake
  185.    wt: 5:   7 Long Divison Mistake Catching
  186.    wt: 5:   5 Long Division Include Zeroes or not
  187.    wt: 5:   4 Division with 2 Digit Divsors
  188.    wt: 5:   3 Division Single Digit Divisor Example
  189.    wt: 5:   2 Division with Single Digit Divisors
  190.    wt: 5:   1 Divsion Physical Examples
  191.    wt: 5:   Formula Evaluation how to show work
  192.    wt: 5:   Expression Evaluation how to show work
  193.    wt: 5:   The 20 Times Table
  194.    wt: 5:   The 12 Times Table Visually
  195.    wt: 5:   About folder contents
  196.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  197.    wt: 4:   6 Field Properties of Complex Number
  198.    wt: 4:   6 Polar Multiplication and Rotation
  199.    wt: 4:   22 Multiplication of Signed Numbers
  200.    wt: 4:   8 Division and Mulplication of Compound Fractions
  201.    wt: 4:   6 Column Methods for Decimal Multiplication
  202.    wt: 4:   2 Combing Counts Addition Skills and Principles
  203.    wt: 4:   1 The Counting Origins of Numbers
  204.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  205.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  206.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  207.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  208.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  209.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  210.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  211.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  212.    wt: 3:   27 Logarithmic use of products of sines and cosines
  213.    wt: 3:   20 N th Roots of Complex Numbers
  214.    wt: 3:   5 An Easy Proof of the Distributive Law
  215.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  216.    wt: 3:   3 Trigonometric Ratios sine and cosine
  217.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  218.    wt: 3:   10 Midpoint of [a b] and [b a]
  219.    wt: 3:   6 Intersection of lines by solving linear systems
  220.    wt: 3:   1 Numerical view of lines and their equations
  221.    wt: 3:   6 Ruler and compass Angle Bisection
  222.    wt: 3:   21 Addition of Multiples of a Single Vector
  223.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  224.    wt: 3:   11 Signed Number Addition and Addition Properties
  225.    wt: 3:   3 Location of Point in Decimal Multiplication
  226.    wt: 3:   B Decimal Comparison and Subtraction
  227.    wt: 3:   8 Column Multiplication Methods in General
  228.    wt: 3:   7 Decimals Multiplication Methods Examples
  229.    wt: 3:   5 Distributive Law for Whole Numbers
  230.    wt: 3:   3 Multiplicative Counting Skills Principles
  231.    wt: 3:   4 Rates Ratios and Proporitionality
  232.    wt: 3:   2 Addition and Multiplication Axioms
  233.    wt: 3:   4 Comparison of Negative Numbers
  234.    wt: 3:   2 More and Less Than for Counts and Measures
  235.    wt: 3:   14 Real Number Multiplication
  236.    wt: 3:   10 Real Number Lengths and Signs
  237.    wt: 3:   1 Whole and Natural Numbers
  238.    wt: 3:   6 Three Examples
  239.    wt: 3:   4 A Brief Story of numbers and algebra
  240.    wt: 3:   011 Division of Time Intervals By Numbers
  241.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  242.    wt: 3:   4 Mixing and Changing Units of Time
  243.    wt: 3:   3 Units and Lengths of Time
  244.    wt: 3:   1 Intro of Kids To Time Date Skills
  245.    wt: 3:   17 Derivatives of quotients of sine and cosine
  246.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  247.    wt: 3:   5 Jumps and absence of unlimited error control
  248.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  249.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  250.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  251.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  252.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  253.    wt: 3:   I. Logic and language skills
  254.    wt: 3:   How to Build Skills and Confidence
  255.    wt: 3:   7 Games and Activities for Instruction
  256.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  257.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  258.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  259.    wt: 2:   Ramblings Extrinsic numbers theory
  260.    wt: 2:   Theory of Knowledge
  261.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  262.    wt: 2:   14 Multiplication and Times Tables
  263.    wt: 2:   2 Reading and Writing Skills
  264.    wt: 2:   Ages 12 to 14 Skills with take home value
  265.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  266.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  267.    wt: 2:   8 Set view of relations and functions
  268.    wt: 2:   9 Summary Degrees to Radians and back
  269.    wt: 2:   8 Radian Measures of Common Angles
  270.    wt: 2:   2 Radian Measure Numerical Value of one degree
  271.    wt: 2:   1 Degrees and Radians Introduction
  272.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  273.    wt: 2:   4 Resultant of a Sum of Movements
  274.    wt: 2:   Vector and Complex Number Applet
  275.    wt: 2:   Parallel Lines and Parallel Transversals
  276.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  277.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  278.    wt: 2:   Parallel Lines and Interior Angles
  279.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  280.    wt: 2:   Straight Lines Intersection of
  281.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  282.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  283.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  284.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  285.    wt: 2:   26 Formulas for products of sines and cosines
  286.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  287.    wt: 2:   14 cosine even and sine and tangent are odd
  288.    wt: 2:   10 Graphs of sines and cosines many periods
  289.    wt: 2:   9 Graphs of sine and cosine over one period
  290.    wt: 2:   7 period of sine and cosine
  291.    wt: 2:   21 Logarithms Powers and Exponentials
  292.    wt: 2:   19 N th Roots of Unity
  293.    wt: 2:   18 Sixth Roots of Unity
  294.    wt: 2:   17 Cube Roots of unity
  295.    wt: 2:   16 References and Originality Question
  296.    wt: 2:   14 Law of cosines
  297.    wt: 2:   13 Trig Formulas for dot and cross Products
  298.    wt: 2:   12 cis formulas for sine cosines and tangent
  299.    wt: 2:   11 sine and cosine double triple angle formulas
  300.    wt: 2:   9 The complex number valued trig function cis
  301.    wt: 2:   8 Unit Circle Development of Trigonometry
  302.    wt: 2:   4 Multiplication Properties
  303.    wt: 2:   2 Complex Numbers made easier we hope
  304.    wt: 2:   Appetizer A Complex Number Applet
  305.    wt: 2:   7 Trignometric Ratios Unit Circle
  306.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  307.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  308.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  309.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  310.    wt: 2:   8 Similarity of Triangles and Polygons
  311.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  312.    wt: 2:   7 Exercises to test skill and concept mastery
  313.    wt: 2:   5 Algebraic View of Slopes
  314.    wt: 2:   What is and is not here
  315.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  316.    wt: 2:   7 Complex Numbers Appetizer
  317.    wt: 2:   5 Cartesian Addition and Translation
  318.    wt: 2:   4 Polar Coordinates to and from
  319.    wt: 2:   PS H Distributive Law For Complex Numbers
  320.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  321.    wt: 2:   PS E Multiplication with Polar Coordinates
  322.    wt: 2:   17 Right Bisectors of Triangle Sides
  323.    wt: 2:   16 Angles Subtended By Chords and Diameters
  324.    wt: 2:   9 Construction of a right bisector
  325.    wt: 2:   3 Isometry of Triangles Congruence
  326.    wt: 2:   1 Initial Concepts and Terms
  327.    wt: 2:   3 Lengths and Areas on Maps and Plans
  328.    wt: 2:   musings do not puiblish real numbers
  329.    wt: 2:   A Modular and Remainder Arithmetic
  330.    wt: 2:   A Signed Number Arithmetic Review
  331.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  332.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  333.    wt: 2:   19 Signed Multiples of Vectors
  334.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  335.    wt: 2:   13 Arrows and Vectors in a Plane
  336.    wt: 2:   12 Real Numbers Line Signed Coordinates
  337.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  338.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  339.    wt: 2:   4 Location of Point in Decimal Addition
  340.    wt: 2:   2 Counting Digits in Decimal Multiplication
  341.    wt: 2:   1 Fractions with Finite Decimal Expansions
  342.    wt: 2:   E Long Division Methods more
  343.    wt: 2:   D Long Division Methods
  344.    wt: 2:   C Three Decimal Subtraction Methods
  345.    wt: 2:   A Decimal Addition Columm Methods
  346.    wt: 2:   4 Commutative Law Groups Counting Form
  347.    wt: 2:   5 Areas of Rectangles Revisited
  348.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  349.    wt: 2:   5 Proportionality in Equivalent Fractions
  350.    wt: 2:   6 Equations and Systems Equivalent or Implied
  351.    wt: 2:   4 Subtraction and Division Axioms
  352.    wt: 2:   3 More and Less Than with Unlike Signs
  353.    wt: 2:   1 Real Numbers Comparison
  354.    wt: 2:   16 Real Numbers Comparison
  355.    wt: 2:   15 Real Number Division
  356.    wt: 2:   13 Real Number Subtraction
  357.    wt: 2:   12 Real Number Additive Inverses or Negatives
  358.    wt: 2:   11 Real Number Addition
  359.    wt: 2:   8 Coordinates for Maps and Planes
  360.    wt: 2:   7 Real Numbers as Line Cordinates
  361.    wt: 2:   6 Unsigned Real Numbers
  362.    wt: 2:   5 Rational Numbers More
  363.    wt: 2:   4 Rational Numbers
  364.    wt: 2:   3 Fractions
  365.    wt: 2:   3 Geometric Formulas and Function Notation
  366.    wt: 2:   1 Formulas Dependence and Function Notation
  367.    wt: 2:   3 GE III Equation Addition and Multiplication
  368.    wt: 2:   Skill Development Notes
  369.    wt: 2:   10 One Example
  370.    wt: 2:   9 Three Examples
  371.    wt: 2:   8 One Example
  372.    wt: 2:   7 Two Examples
  373.    wt: 2:   5 Three Examples
  374.    wt: 2:   4 Two Examples
  375.    wt: 2:   3 Two Examples
  376.    wt: 2:   2 Three Examples
  377.    wt: 2:   8 Sets of Numbers
  378.    wt: 2:   5 Talking about Numbers and Quantities
  379.    wt: 2:   016 Numbering Occidental Calendar Days
  380.    wt: 2:   015 School and work day counting tables
  381.    wt: 2:   012 Division of Time Intervals by Time Intervals
  382.    wt: 2:   010 Repeated Addition of Time Intervals
  383.    wt: 2:   8 Addition of Time Intervals via subtotaling
  384.    wt: 2:   7 Addition of Time Intervals
  385.    wt: 2:   2 Time and Date Matters in School
  386.    wt: 2:   Example 2 volume of a cone
  387.    wt: 2:   Example 1 volume of a pyramid
  388.    wt: 2:   Volume of Solid by Cross Sections Lesson
  389.    wt: 2:   Example 1. Area Between x and x squared
  390.    wt: 2:   Example 4 with x function of y
  391.    wt: 2:   38 Formulas and derivatives for powers and roots
  392.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  393.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  394.    wt: 2:   9 Limits Continuity and Composition
  395.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  396.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  397.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  398.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  399.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  400.    wt: 2:   Appendix E. How To Study Mathematics and Why
  401.    wt: 2:   Appendix D. What to do in School and Why
  402.    wt: 2:   Chapter 31 Direct and Indirect Reason
  403.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  404.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  405.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  406.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  407.    wt: 2:   Chapter 20. Degrees and Radians
  408.    wt: 2:   Chapter 19. Functions and Sets
  409.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  410.    wt: 2:   Chapter 12. Shorthand Usage Guide
  411.    wt: 2:   Chapter 11. Why Shorthand
  412.    wt: 2:   Chapter 10 Describing and Changing Calculations
  413.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  414.    wt: 2:   Chapter 8 Three Skills For Algebra
  415.    wt: 2:   Chapter 6 Change of Language
  416.    wt: 2:   Chapter 4 Longer Chains of Reason
  417.    wt: 2:   Chapter 3 Chains of Reason
  418.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  419.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  420.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  421.    wt: 2:   R Why Learn Mathematics Skills
  422.    wt: 2:   O On Learning Mathematics and Science
  423.    wt: 2:   L Skills with take home value
  424.    wt: 2:   N Improving Marks on Tests and Finals
  425.    wt: 2:   J. More on written work and showing skill
  426.    wt: 2:   H Jigsaw puzzles and problem solving
  427.    wt: 2:   G. Written work formats for developing and showing skill
  428.    wt: 2:   E. When and how to correct errors
  429.    wt: 2:   C. Domino effect of being careful
  430.    wt: 2:   B. Domino effect of errors
  431.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  432.    wt: 2:   Chapter 8 Skipped Topics and Why
  433.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  434.    wt: 2:   Chapter 6 More Algebra and Geometry
  435.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  436.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  437.    wt: 1:   Appendix 1 primary and preschool mathematic
  438.    wt: 1:   G LAMP Introduction Problem Solving Skills
  439.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  440.    wt: 1:   Skills Chapter 5 Calculus
  441.    wt: 1:   Skills Chapter 4 Logic
  442.    wt: 1:   Skills Chapter 3 Algebra
  443.    wt: 1:   Skills Chapter 2 Geometry
  444.    wt: 1:   Skills Chapter 1 Arithmetic
  445.    wt: 1:   Skills Chapter 0 Introduction
  446.    wt: 1:   7 logic review and decimals an odd combination
  447.    wt: 1:   5 logarithms and exponentials etc
  448.    wt: 1:   2 arithmetic with signed numbers
  449.    wt: 1:   1 arithmetic with unsigned numbers
  450.    wt: 1:   key notes and themes
  451.    wt: 1:   Mathematics Education Professors
  452.    wt: 1:   what should be learnt and When
  453.    wt: 1:   standards for course material
  454.    wt: 1:   Education in mathematics science and technology
  455.    wt: 1:   Different Kinds of Reasoning in maths
  456.    wt: 1:   three kinds of reason in mathematics
  457.    wt: 1:   Motivation and Context Problem
  458.    wt: 1:   fairness and inductive principles for instruction
  459.    wt: 1:   E Kirchoffs Second Law
  460.    wt: 1:   D Kirchoff First Law
  461.    wt: 1:   Home Tutoring and Home Schooling
  462.    wt: 1:   24 Standards For Skill Develoment Take II
  463.    wt: 1:   24 Standards For Skill Develoment
  464.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  465.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  466.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  467.    wt: 1:   17 Math Booklets for children and young teenagers
  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:   26 Function definitions done and coming
  487.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  488.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  489.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  490.    wt: 1:   19 Horizontal line rule and method
  491.    wt: 1:   18 Vertical Line Rule and Method
  492.    wt: 1:   17 Function maxima minima and their location
  493.    wt: 1:   15 Sign analysis of functions
  494.    wt: 1:   11 Function Domain Range Source and Targets
  495.    wt: 1:   9 Set theory term relation possible origins
  496.    wt: 1:   6 Set Existence Formation and Notation
  497.    wt: 1:   4 Function notation in and beyond mathematics
  498.    wt: 1:   2 Algebraic use of function notation
  499.    wt: 1:   1 Geometric Introduction of Function Notation
  500.    wt: 1:   9 quadratics physical and further context
  501.    wt: 1:   8 quadratics backward use of various formulas
  502.    wt: 1:   6 quadratics numerical approach
  503.    wt: 1:   4 quadratics difference of two squares
  504.    wt: 1:   11 Growth and Decay in Biology
  505.    wt: 1:   10 Exponential Growth and Decay Models
  506.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  507.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  508.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  509.    wt: 1:   3 Polynomials Multiplication Addition
  510.    wt: 1:   2 Column Multiplication Method
  511.    wt: 1:   16 cotangent function Definition Graph and Inverse
  512.    wt: 1:   15 cosecant function Definition Graph and Inverse
  513.    wt: 1:   14 secant function Definition Graph and Inverse
  514.    wt: 1:   13 cosecant function Definition Graph and Inverse
  515.    wt: 1:   11 arctan left inverse of tangent Graph
  516.    wt: 1:   10 arctan left inverse of tangent Definition
  517.    wt: 1:   8 arcsin left inverse of sine Graph
  518.    wt: 1:   7 arcsin left inverse of sine Definition
  519.    wt: 1:   6 Graph of arccos function
  520.    wt: 1:   3 Left Inverse of cosine arccos definition
  521.    wt: 1:   7 Radian Measures in special Triangles
  522.    wt: 1:   6 Radian Measure to Degrees
  523.    wt: 1:   5 Degrees to Radian Measure
  524.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  525.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  526.    wt: 1:   A Global Time and Navigation
  527.    wt: 1:   15 Dot and Cross Product
  528.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  529.    wt: 1:   4 graphing y=Asin(x c)
  530.    wt: 1:   3 graphing y=f(x c) plus K
  531.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  532.    wt: 1:   1 graphing y=f(x a)
  533.    wt: 1:   Triangle Angles Sum To 180 Degrees
  534.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  535.    wt: 1:   Straight Lines ASA Intersection Study More
  536.    wt: 1:   Straight Lines ASA Intersection Study
  537.    wt: 1:   Straight Lines Instersection Solving Equations
  538.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  539.    wt: 1:   C Straight Lines Slope from Coordinates
  540.    wt: 1:   B Straight Line Slope Scaling Properties More
  541.    wt: 1:   A Straight Line Slope Scaling Properties
  542.    wt: 1:   14 Straight Lines Equations General Case
  543.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  544.    wt: 1:   12 Straight Lines Graphing mx plus b
  545.    wt: 1:   11 Straight Lines Graphing y=mx
  546.    wt: 1:   10 Straight Lines through Origin Equations More
  547.    wt: 1:   9 Straight Lines through Origin Equations
  548.    wt: 1:   8 Straight Lines Equation for vertical
  549.    wt: 1:   7 Tangent Function is odd on this domain
  550.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  551.    wt: 1:   5 Tangent Function Graph
  552.    wt: 1:   4 Tangent Function Properties
  553.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  554.    wt: 1:   1 Straight Lines Slope Concept
  555.    wt: 1:   32 seven rows of pascals triangle
  556.    wt: 1:   30 unit circle calculation of six trigonometric functions
  557.    wt: 1:   29 secant cosecant and cotangent for acute angles
  558.    wt: 1:   28 Expressing products of sines cosines as sums
  559.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  560.    wt: 1:   21 sine and cosine Half Angle Formulas
  561.    wt: 1:   20 sine and cosine Double Angle Formulas
  562.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  563.    wt: 1:   18 sum of sinusoidal waves as a single wave
  564.    wt: 1:   17F Law of cosines
  565.    wt: 1:   17E Trig Formulas for dot and cross Products
  566.    wt: 1:   17D cis formulas for sine cosines and tangent
  567.    wt: 1:   17C sine and cosine double triple angle formulas
  568.    wt: 1:   17A The complex number valued trig function cis
  569.    wt: 1:   13 Graph of tangent function many periods
  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:   3 Addition Properties
  582.    wt: 1:   1 Rectangular Polar Coordinates Review
  583.    wt: 1:   8 Triangles Cascade Problem Solving
  584.    wt: 1:   1 Angle Measurement with Degrees
  585.    wt: 1:   Why Trigonometry the whyslopes view
  586.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  587.    wt: 1:   9 Similarity of Triangles Usual Criteria
  588.    wt: 1:   1 Early Concept of Like or Similar Shapes
  589.    wt: 1:   Four Simple Exercises
  590.    wt: 1:   12 Links Lessons elsewhere
  591.    wt: 1:   11 A Partial Summary
  592.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  593.    wt: 1:   8 Mid Point Formula
  594.    wt: 1:   4 Equations for lines three forms
  595.    wt: 1:   3 Slope product for perpendicular lines
  596.    wt: 1:   2 point slope equation for a line
  597.    wt: 1:   13 Pythagorean spatial distance formulas
  598.    wt: 1:   12 Spatial Coordinates
  599.    wt: 1:   11 Triangle Inequality
  600.    wt: 1:   10 Pythagorean plane distance formula
  601.    wt: 1:   8 Distance Between Points on a Line
  602.    wt: 1:   3 Rectangular Coordinates Review
  603.    wt: 1:   2 Cartesian Coordinates with signs
  604.    wt: 1:   1 Cartesian Coordinates sans signs
  605.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  606.    wt: 1:   PS G Rotation Distributes over Addition
  607.    wt: 1:   PS D Addition with Cartesian Coordinates
  608.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  609.    wt: 1:   PS B Parallelogram Construction Methods
  610.    wt: 1:   PS A Kite Construction Methods
  611.    wt: 1:   21 Parallelograms
  612.    wt: 1:   19 Right Triangle Similarity
  613.    wt: 1:   18 Triangle Similarity Take 1
  614.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  615.    wt: 1:   14 Parallel Lines Postulate
  616.    wt: 1:   13 Angle Side Angle Failure
  617.    wt: 1:   12 Side Angle Side Failure
  618.    wt: 1:   11 Triangle Construction Fails
  619.    wt: 1:   10 Dropping a perpendicular to line
  620.    wt: 1:   8 Isoceles Triangles
  621.    wt: 1:   7 Angle Side Angle
  622.    wt: 1:   5 Side Angle Side
  623.    wt: 1:   4 Side Side Side
  624.    wt: 1:   2 Correspondence between Triangles
  625.    wt: 1:   Short Course on Euclidean Geometry
  626.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  627.    wt: 1:   26 More Less Greater Than Comparison
  628.    wt: 1:   23 Distributive Law Two Derivations
  629.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  630.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  631.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  632.    wt: 1:   15 Head to Tails in place Addition Associative
  633.    wt: 1:   9 Division with Digits after Decimal Point
  634.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  635.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  636.    wt: 1:   4 Fraction Operations Axiomatic Development
  637.    wt: 1:   3 Inequalities Algebraically
  638.    wt: 1:   2 Fraction Operations Physical Development
  639.    wt: 1:   3 Proportionality Examples
  640.    wt: 1:   2 Algebraic View
  641.    wt: 1:   1 What is Proportionality
  642.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  643.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  644.    wt: 1:   6 Compound Interest Forward and Backwards
  645.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  646.    wt: 1:   5 Equality in Algebra
  647.    wt: 1:   3 Product Axioms Two Forms
  648.    wt: 1:   1 Equivalent Computation Rules
  649.    wt: 1:   5 Greater More Less Than Signs in General
  650.    wt: 1:   9 Coordinates for Regions in Space
  651.    wt: 1:   2 Integers
  652.    wt: 1:   5 Independent versus Dependent Variables
  653.    wt: 1:   4 Changing Letters
  654.    wt: 1:   2 Computation Rules Evaluation
  655.    wt: 1:   6 Algebraic Solution Example
  656.    wt: 1:   11 Volume of Sphere
  657.    wt: 1:   10 Volume of Pyramid
  658.    wt: 1:   9 Volume of Cone
  659.    wt: 1:   2 Another Rectangle Area Formula Example
  660.    wt: 1:   1 Written work formats for developing and showing skill
  661.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  662.    wt: 1:   9 Sets in Probability and Statistics
  663.    wt: 1:   6 Three Notions of What is a Variable
  664.    wt: 1:   1 Three Skills For Algebra
  665.    wt: 1:   014 Counting Days with Calendars
  666.    wt: 1:   013 Travel Time Tables
  667.    wt: 1:   6 How long is a million seconds
  668.    wt: 1:   5 Conversion Arithmetic
  669.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  670.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  671.    wt: 1:   Example 3
  672.    wt: 1:   Example 2
  673.    wt: 1:   Example 1
  674.    wt: 1:   Area Between Curves Lesson Take 2
  675.    wt: 1:   Area Between Curves Lesson Take 1
  676.    wt: 1:   Summary
  677.    wt: 1:   34 Derivative of exponential function
  678.    wt: 1:   31 Derivatives of inverse functions
  679.    wt: 1:   30Chain Rule A Proof
  680.    wt: 1:   28 Chain Rule Preparation for a Proof
  681.    wt: 1:   15 sine and cosine derivatives 3rd step
  682.    wt: 1:   14 sine and cosine derivatives 2nd step
  683.    wt: 1:   13 sine and cosine derivatives 1st step
  684.    wt: 1:   8 Differentiation of polynomials
  685.    wt: 1:   11 Limits at infinity Three Examples
  686.    wt: 1:   10 Three one sided limits with infinite values
  687.    wt: 1:   8 Four Animated Examples
  688.    wt: 1:   7 Evaluation by immediate or delayed substitution
  689.    wt: 1:   6 Continuity at a point
  690.    wt: 1:   4 Numerical properties
  691.    wt: 1:   3 Decimal insights for limits continuity convergence
  692.    wt: 1:   2 Algebraic codification
  693.    wt: 1:   1 Numerical introduction
  694.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  695.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  696.    wt: 1:   G.3 Constant Difference Theorem Proof
  697.    wt: 1:   E2 Algebraic Properties of Limits
  698.    wt: 1:   D2 Limits of Monotone Sequences
  699.    wt: 1:   PostScript For and Against Decimal Perspectives
  700.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  701.    wt: 1:   Chapter 22 Complex Numbers
  702.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  703.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  704.    wt: 1:   Chapter 12. Units and Slopes
  705.    wt: 1:   Chapter 10 Slopes and Units
  706.    wt: 1:   Chapter 7 Slopes and Velocity
  707.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  708.    wt: 1:   Chapter 2. Slopes and Ski Trails
  709.    wt: 1:   Postscript More on Better Performance
  710.    wt: 1:   Postscript For Better Performance
  711.    wt: 1:   Appendix C. How to Read
  712.    wt: 1:   Appendix B. How To Learn
  713.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  714.    wt: 1:   Chapter 30 Truth Tables
  715.    wt: 1:   Chapter 28 Occurrence Tables
  716.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  717.    wt: 1:   Chapter 25. Mathematical Induction Examples
  718.    wt: 1:   Chapter 23. Notation For Sums
  719.    wt: 1:   Chapter 21. Third Reading Guide
  720.    wt: 1:   Chapter 18. Rules for Algebra
  721.    wt: 1:   Chapter 16. Painless Theorem Proving
  722.    wt: 1:   Chapter 15. Solving Linear Equations
  723.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  724.    wt: 1:   Chapter 13. Second Reading Guide
  725.    wt: 1:   Postscript What is a Variable
  726.    wt: 1:   Solutions For Arithmetic Exercises
  727.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  728.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  729.    wt: 1:   Foreword
  730.    wt: 1:   Chapter 7 Two Treatments of Geometry
  731.    wt: 1:   Chapter 2 For and Against Mathematics
  732.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  733.    wt: 1:   Postscript B More on Story Telling and Reason
  734.    wt: 1:   Chapter 24 Direct and Indirect Reason
  735.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  736.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  737.    wt: 1:   Chapter 18 Sense and Knowledge
  738.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  739.    wt: 1:   Chapter 8 Change of Language
  740.    wt: 1:   Chapter 7 Longer Chains of Reason
  741.    wt: 1:   Chapter 6 Chains of Reason
  742.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  743.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  744.    wt: 1:   S Adding words to algebra
  745.    wt: 1:   N Mathematics Prepare for College Studies
  746.    wt: 1:   M Words to extend arithmetic
  747.    wt: 1:   H more Routine to non routine problem solving
  748.    wt: 1:   F. The student teacher tutor feedback loop
  749.    wt: 1:   D. Check work a must with a caution
  750.    wt: 1:   A. Skill has to be seen to believed
  751.    wt: 1:   Chapter 3 Algebra Starter Lessons
  752.    wt: 1:   Chapter 2 Why Sets
  753.    wt: 1:   Chapter 1 Arithmetic
  754.    wt: 1:   Helping the Blind in Logic and Mathematics
  755.    wt: 1:   More Algebra and Slope based Calculus Preview
  756.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  757.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  758.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  759.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  760.    wt: 1:   The Math Forum and Site Content
  761.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  762.    wt: 12:   B Fractions and Two Term Ratios
  763.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  764.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  765.    wt: 12:   9 Improper Fractions and Mixed Numbers
  766.    wt: 12:   6 Multiplication of Mixed Numbers
  767.    wt: 11:   21 Reciprocals for Fractions and Wholes
  768.    wt: 10:   3 Comparison of Negative Numbers
  769.    wt: 10:   1 More and Less Than for Counts and Measures
  770.    wt: 10:   D Three Term Ratios
  771.    wt: 10:   22 Complex Compound Fractions
  772.    wt: 10:   20 Dividing Fractions the Why
  773.    wt: 10:   19 Dividing Fractions How TO
  774.    wt: 10:   17 Efficient Ways to Add and Subtract
  775.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  776.    wt: 10:   14 Adding and Subtracting with Like Denominators
  777.    wt: 10:   6 Multiplication Algebraically Take II
  778.    wt: 10:   5 Equivalent Fractions
  779.    wt: 10:   4 Fraction Multiplication
  780.    wt: 10:   3 Unit fraction of a fraction
  781.    wt: 10:   2 Unit Fraction Multiplication

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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