Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 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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37 matches:

  1.    wt: 8:   13 Vectors/
  2.    wt: 7:   6 Trigonometry first steps/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 6:   12 Function Translating and Rescaling/
  6.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  7.    wt: 6:   8 Unit Circle Trigonometry/
  8.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 2:   A Origins of Counting and Figuring Methods/
  18.    wt: 2:   8 Unifying Theme For Algebra/
  19.    wt: 2:   2 Formula Forward Use Evaluation/
  20.    wt: 1:   Volume 1A Regles et modeles/
  21.    wt: 1:   francais/
  22.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  23.    wt: 1:   4 Functions/
  24.    wt: 1:   1 Five Polynomial Operations/
  25.    wt: 1:   10 Examples of Algebraic Reasoning/
  26.    wt: 1:   9 Proportionality Backwards and Forwards/
  27.    wt: 1:   4 Computation Rules and Function Notation/
  28.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  29.    wt: 1:   Step 1 Stick diagram and fractions/
  30.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  31.    wt: 1:   7 Arithmetic and Fractions with Units/
  32.    wt: 1:   6 Fractions and Ratios/
  33.    wt: 1:   3 Prime Factorization Skills/
  34.    wt: 1:   13 Lessons on Limits and Continuity/
  35.    wt: 1:   Volume 2 Three Skills For Algebra/
  36.    wt: 1:   Volume 1 Elements of Reason/
  37.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

518 matches:

  1.    wt: 4:   4 Four Examples Fractional Coefficients
  2.    wt: 4:   C. Domino effect of being careful
  3.    wt: 3:   Math Ed if it must be short make it lean effective
  4.    wt: 3:   five decades make a difference
  5.    wt: 3:   Different Kinds of Reasoning in maths
  6.    wt: 3:   D Kirchoff First Law
  7.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  8.    wt: 3:   8 The Effect of Negative Remarks
  9.    wt: 3:   5 Function notation for geometric transformations
  10.    wt: 3:   4 quadratics difference of two squares
  11.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  12.    wt: 3:   13 cosecant function Definition Graph and Inverse
  13.    wt: 3:   10 arctan left inverse of tangent Definition
  14.    wt: 3:   7 arcsin left inverse of sine Definition
  15.    wt: 3:   3 Left Inverse of cosine arccos definition
  16.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  17.    wt: 3:   26 Formulas for products of sines and cosines
  18.    wt: 3:   24 tangent Angle Difference Formula
  19.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  20.    wt: 3:   13 Graph of tangent function many periods
  21.    wt: 3:   12 Graph of tangent function for one period
  22.    wt: 3:   13 Trig Formulas for dot and cross Products
  23.    wt: 3:   13 Naming Identifying Formulas with Words
  24.    wt: 3:   13 GCD from given Prime Factorization
  25.    wt: 3:   6 Simplification of Fractions with Units
  26.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  27.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  28.    wt: 3:   3 Unit fraction of a fraction
  29.    wt: 3:   15 video Factors of 20 using Prime Factorization
  30.    wt: 3:   13 video Factors of 24 using prime
  31.    wt: 3:   5 A Tip for Efficent Subtraction
  32.    wt: 3:   8 Differentiation of polynomials
  33.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  34.    wt: 3:   G.3 Constant Difference Theorem Proof
  35.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  36.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  37.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  38.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  39.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  40.    wt: 3:   B. Domino effect of errors
  41.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  42.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  43.    wt: 2:   Maps Plans Drawings
  44.    wt: 2:   three difficulties
  45.    wt: 2:   Lessening Algebra Difficulties
  46.    wt: 2:   formal or informal peer review
  47.    wt: 2:   Four ways to improve education reform
  48.    wt: 2:   Prequel In For A Penny In For A Pound
  49.    wt: 2:   fairness and inductive principles for instruction
  50.    wt: 2:   E Kirchoffs Second Law
  51.    wt: 2:   5 Patience Please for Yourself and Your Charges
  52.    wt: 2:   4 Learning Takes Time and Effort
  53.    wt: 2:   26 Function definitions done and coming
  54.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  55.    wt: 2:   15 Sign analysis of functions
  56.    wt: 2:   13 From one to one to many to one
  57.    wt: 2:   8 Set view of relations and functions
  58.    wt: 2:   7 Functions with finite domains
  59.    wt: 2:   3 Formula or function graphing exercise
  60.    wt: 2:   2 Algebraic use of function notation
  61.    wt: 2:   1 Geometric Introduction of Function Notation
  62.    wt: 2:   8 quadratics backward use of various formulas
  63.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  64.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  65.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  66.    wt: 2:   16 cotangent function Definition Graph and Inverse
  67.    wt: 2:   15 cosecant function Definition Graph and Inverse
  68.    wt: 2:   14 secant function Definition Graph and Inverse
  69.    wt: 2:   11 arctan left inverse of tangent Graph
  70.    wt: 2:   8 arcsin left inverse of sine Graph
  71.    wt: 2:   6 Graph of arccos function
  72.    wt: 2:   13 Velocity Vectors in Physics
  73.    wt: 2:   4 Resultant of a Sum of Movements
  74.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  75.    wt: 2:   17 tangent function angle sum formulas
  76.    wt: 2:   30 unit circle calculation of six trigonometric functions
  77.    wt: 2:   27 Logarithmic use of products of sines and cosines
  78.    wt: 2:   21 sine and cosine Half Angle Formulas
  79.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  80.    wt: 2:   17F Law of cosines
  81.    wt: 2:   17E Trig Formulas for dot and cross Products
  82.    wt: 2:   17D cis formulas for sine cosines and tangent
  83.    wt: 2:   11 tangent function undefined when terminal side vertical
  84.    wt: 2:   8 period of tangent function
  85.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  86.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  87.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  88.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  89.    wt: 2:   Unit Circle Development of Trigonometry
  90.    wt: 2:   12 cis formulas for sine cosines and tangent
  91.    wt: 2:   8 Unit Circle Development of Trigonometry
  92.    wt: 2:   6 Field Properties of Complex Number
  93.    wt: 2:   5 An Easy Proof of the Distributive Law
  94.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  95.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  96.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  97.    wt: 2:   4 Equations for lines three forms
  98.    wt: 2:   13 Pythagorean spatial distance formulas
  99.    wt: 2:   13 Angle Side Angle Failure
  100.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  101.    wt: 2:   6 Figuring with Maps Not to Scale
  102.    wt: 2:   4 Angles on Maps Plans drawn to scale
  103.    wt: 2:   3 Lengths and Areas on Maps and Plans
  104.    wt: 2:   21 Addition of Multiples of a Single Vector
  105.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  106.    wt: 2:   19 Signed Multiples of Vectors
  107.    wt: 2:   13 Arrows and Vectors in a Plane
  108.    wt: 2:   8 Division and Mulplication of Compound Fractions
  109.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  110.    wt: 2:   1 Fractions with Finite Decimal Expansions
  111.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  112.    wt: 2:   8 Coordinates for Maps and Planes
  113.    wt: 2:   3 Geometric Formulas and Function Notation
  114.    wt: 2:   1 Formulas Dependence and Function Notation
  115.    wt: 2:   Formula Usage Show Work Format
  116.    wt: 2:   1 Written work formats for developing and showing skill
  117.    wt: 2:   4 A Brief Story of numbers and algebra
  118.    wt: 2:   7 GCD and LCM from prime factorization
  119.    wt: 2:   3 signed coordinates for maps and planes
  120.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  121.    wt: 2:   21 Reciprocals for Fractions and Wholes
  122.    wt: 2:   18 Efficient Ways to Multiply
  123.    wt: 2:   17 Efficient Ways to Add and Subtract
  124.    wt: 2:   13 Fraction Comparison Algebraic View
  125.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  126.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  127.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  128.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  129.    wt: 2:   20 Uniqueness of Prime Factorization
  130.    wt: 2:   18 video Count Factors given Prime Factorization
  131.    wt: 2:   17 Identify and Count Factors using Primes
  132.    wt: 2:   16 video Factors of 980 using prime
  133.    wt: 2:   14 video Factors of 24 Take II
  134.    wt: 2:   11 Efficient Square Rule Use
  135.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  136.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  137.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  138.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  139.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  140.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  141.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  142.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  143.    wt: 2:   Example 4 with x function of y
  144.    wt: 2:   38 Formulas and derivatives for powers and roots
  145.    wt: 2:   34 Derivative of exponential function
  146.    wt: 2:   31 Derivatives of inverse functions
  147.    wt: 2:   28 Chain Rule Preparation for a Proof
  148.    wt: 2:   19 Chain Rule for linear functions
  149.    wt: 2:   17 Derivatives of quotients of sine and cosine
  150.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  151.    wt: 2:   7 Animated Differentiation Examples
  152.    wt: 2:   3 Motivation for Limit Definition Take 2
  153.    wt: 2:   2 Motivation for Limit Definition Take 1
  154.    wt: 2:   F.4 Finite Covering Theorem
  155.    wt: 2:   F.1 What Functions are Continuous
  156.    wt: 2:   Postscript For Better Performance
  157.    wt: 2:   Chapter 5 Four References
  158.    wt: 2:   Chapter 3 Algebra Difficulties
  159.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  160.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  161.    wt: 2:   G. Written work formats for developing and showing skill
  162.    wt: 2:   F. The student teacher tutor feedback loop
  163.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  164.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  165.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  166.    wt: 1:   F LAMP Introduction Prerequisites
  167.    wt: 1:   three goals to set for students
  168.    wt: 1:   permissions for teachers
  169.    wt: 1:   activities for students
  170.    wt: 1:   About site lesson plans
  171.    wt: 1:   Mathematics Education Professors
  172.    wt: 1:   teacher certification
  173.    wt: 1:   Education Reform Inconsistencies
  174.    wt: 1:   mathematics curriculum shifts
  175.    wt: 1:   geometric implications for algebra
  176.    wt: 1:   three goals for Mathematics Education
  177.    wt: 1:   05 13 OldSiteEntrancePage
  178.    wt: 1:   02 21 words for teachers
  179.    wt: 1:   02 20 mathematics education references
  180.    wt: 1:   three aims for mathematics students
  181.    wt: 1:   standards for course material
  182.    wt: 1:   Theory of Knowledge
  183.    wt: 1:   three kinds of reason in mathematics
  184.    wt: 1:   need for a mixed mathematics curriculum
  185.    wt: 1:   words for mathematics instructor
  186.    wt: 1:   chapitre 04 08 Limitations et benefices
  187.    wt: 1:   deux definitions pour variable
  188.    wt: 1:   F Wire Resistance Calculation04
  189.    wt: 1:   F Unlike Resistors in Series
  190.    wt: 1:   C Electromotive force conventional current02
  191.    wt: 1:   B Electromotive force conventional current01
  192.    wt: 1:   24 Standards For Skill Develoment Take II
  193.    wt: 1:   24 Standards For Skill Develoment
  194.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  195.    wt: 1:   17 Math Booklets for children and young teenagers
  196.    wt: 1:   15 Counting For Parents
  197.    wt: 1:   13 Addition and Addition Tables
  198.    wt: 1:   12 Goals and Objectives For Mathematics
  199.    wt: 1:   11 Help and Defend Your Child or Teens Education
  200.    wt: 1:   10 Ends values for work study instruction
  201.    wt: 1:   3 Preparing for Science Studies
  202.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  203.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  204.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  205.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  206.    wt: 1:   23 Inverse Functions
  207.    wt: 1:   22 Square Root function graphically
  208.    wt: 1:   20 Interchanging coordinates a reflection
  209.    wt: 1:   17 Function maxima minima and their location
  210.    wt: 1:   12 Function Domain Recognition Exercises
  211.    wt: 1:   11 Function Domain Range Source and Targets
  212.    wt: 1:   6 Set Existence Formation and Notation
  213.    wt: 1:   4 Function notation in and beyond mathematics
  214.    wt: 1:   9 quadratics physical and further context
  215.    wt: 1:   7 quadratic formulla derivation
  216.    wt: 1:   3 quadratics factoring by inspection
  217.    wt: 1:   2 Square Root Simplification a prequel
  218.    wt: 1:   8 Notes for instructors or tutors
  219.    wt: 1:   Rewriting algebraic substitution as function substitutions
  220.    wt: 1:   12 motivation for term arctan
  221.    wt: 1:   9 motivation for name arcsin
  222.    wt: 1:   5 Swapping Coordinates is a reflection
  223.    wt: 1:   4 possible motivation for term arccos
  224.    wt: 1:   2 cosine function more properties
  225.    wt: 1:   1 cosine function properties
  226.    wt: 1:   8 Radian Measures of Common Angles
  227.    wt: 1:   2 Radian Measure Numerical Value of one degree
  228.    wt: 1:   12 From Applied To Pure Mathematics
  229.    wt: 1:   8 Parallel Vectors
  230.    wt: 1:   6 Vectors with Coordinates
  231.    wt: 1:   3 Navigation with Arrows or Vectors
  232.    wt: 1:   3 graphing y=f(x c) plus K
  233.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  234.    wt: 1:   1 graphing y=f(x a)
  235.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  236.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  237.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  238.    wt: 1:   Straight Lines Intersection of
  239.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  240.    wt: 1:   C Straight Lines Slope from Coordinates
  241.    wt: 1:   8 Straight Lines Equation for vertical
  242.    wt: 1:   7 Tangent Function is odd on this domain
  243.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  244.    wt: 1:   5 Tangent Function Graph
  245.    wt: 1:   4 Tangent Function Properties
  246.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  247.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  248.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  249.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  250.    wt: 1:   32 seven rows of pascals triangle
  251.    wt: 1:   29 secant cosecant and cotangent for acute angles
  252.    wt: 1:   28 Expressing products of sines cosines as sums
  253.    wt: 1:   25 tangent double angle formula Slope connection
  254.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  255.    wt: 1:   20 sine and cosine Double Angle Formulas
  256.    wt: 1:   18 sum of sinusoidal waves as a single wave
  257.    wt: 1:   17C sine and cosine double triple angle formulas
  258.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  259.    wt: 1:   17A The complex number valued trig function cis
  260.    wt: 1:   10 Graphs of sines and cosines many periods
  261.    wt: 1:   9 Graphs of sine and cosine over one period
  262.    wt: 1:   7 period of sine and cosine
  263.    wt: 1:   2 Quadrant I reference Angles
  264.    wt: 1:   1 Unit Points Reflections Rotations
  265.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  266.    wt: 1:   20 N th Roots of Complex Numbers
  267.    wt: 1:   19 N th Roots of Unity
  268.    wt: 1:   18 Sixth Roots of Unity
  269.    wt: 1:   17 Cube Roots of unity
  270.    wt: 1:   16 References and Originality Question
  271.    wt: 1:   14 Law of cosines
  272.    wt: 1:   11 sine and cosine double triple angle formulas
  273.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  274.    wt: 1:   9 The complex number valued trig function cis
  275.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  276.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  277.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  278.    wt: 1:   Why Trigonometry the whyslopes view
  279.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  280.    wt: 1:   9 Similarity of Triangles Usual Criteria
  281.    wt: 1:   8 Similarity of Triangles and Polygons
  282.    wt: 1:   7 Translations Rotations Reflections Dilatations
  283.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  284.    wt: 1:   4 Similarity Definition with Coordinate
  285.    wt: 1:   1 Early Concept of Like or Similar Shapes
  286.    wt: 1:   Four Simple Exercises
  287.    wt: 1:   10 Midpoint of [a b] and [b a]
  288.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  289.    wt: 1:   8 Mid Point Formula
  290.    wt: 1:   6 Intersection of lines by solving linear systems
  291.    wt: 1:   5 Algebraic View of Slopes
  292.    wt: 1:   3 Slope product for perpendicular lines
  293.    wt: 1:   2 point slope equation for a line
  294.    wt: 1:   1 Numerical view of lines and their equations
  295.    wt: 1:   10 Pythagorean plane distance formula
  296.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  297.    wt: 1:   4 Polar Coordinates to and from
  298.    wt: 1:   PS H Distributive Law For Complex Numbers
  299.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  300.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  301.    wt: 1:   17 Right Bisectors of Triangle Sides
  302.    wt: 1:   12 Side Angle Side Failure
  303.    wt: 1:   11 Triangle Construction Fails
  304.    wt: 1:   9 Construction of a right bisector
  305.    wt: 1:   3 Isometry of Triangles Congruence
  306.    wt: 1:   About Folder Contents
  307.    wt: 1:   22 Multiplication of Signed Numbers
  308.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  309.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  310.    wt: 1:   9 Division with Digits after Decimal Point
  311.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  312.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  313.    wt: 1:   4 Location of Point in Decimal Addition
  314.    wt: 1:   3 Location of Point in Decimal Multiplication
  315.    wt: 1:   6 Column Methods for Decimal Multiplication
  316.    wt: 1:   5 Distributive Law for Whole Numbers
  317.    wt: 1:   4 Commutative Law Groups Counting Form
  318.    wt: 1:   1 The Counting Origins of Numbers
  319.    wt: 1:   5 Areas of Rectangles Revisited
  320.    wt: 1:   4 Fraction Operations Axiomatic Development
  321.    wt: 1:   2 Fraction Operations Physical Development
  322.    wt: 1:   5 Proportionality in Equivalent Fractions
  323.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  324.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  325.    wt: 1:   6 Compound Interest Forward and Backwards
  326.    wt: 1:   5 Triangle Area Formula Backwards
  327.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  328.    wt: 1:   3 Product Axioms Two Forms
  329.    wt: 1:   4 Comparison of Negative Numbers
  330.    wt: 1:   2 More and Less Than for Counts and Measures
  331.    wt: 1:   13 Real Number Subtraction
  332.    wt: 1:   9 Coordinates for Regions in Space
  333.    wt: 1:   3 Fractions
  334.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  335.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  336.    wt: 1:   1 GE Substitution four examples
  337.    wt: 1:   3 Four Examples
  338.    wt: 1:   Using Letters for Physical Quantities
  339.    wt: 1:   11 Volume of Sphere
  340.    wt: 1:   10 Volume of Pyramid
  341.    wt: 1:   9 Volume of Cone
  342.    wt: 1:   8 Compound Interest Formula Evaluation
  343.    wt: 1:   7 Compound Interest Formula Introduction
  344.    wt: 1:   5 Box Volume Formula Example
  345.    wt: 1:   4 Circle Area Formula Example
  346.    wt: 1:   3 Triangle Area Formula Example
  347.    wt: 1:   2 Another Rectangle Area Formula Example
  348.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  349.    wt: 1:   8 Sets of Numbers
  350.    wt: 1:   7 Cautious or Safe Set Construction
  351.    wt: 1:   1 Finite Sets
  352.    wt: 1:   6 Three Notions of What is a Variable
  353.    wt: 1:   1 Three Skills For Algebra
  354.    wt: 1:   About Folder Contents
  355.    wt: 1:   arithmetic videos Real Player Format
  356.    wt: 1:   3 Comparison of Negative Numbers
  357.    wt: 1:   1 More and Less Than for Counts and Measures
  358.    wt: 1:   3 Properties of Square Roots with example
  359.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  360.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  361.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  362.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  363.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  364.    wt: 1:   8 GCD from Euclidean Algorithm
  365.    wt: 1:   6 GCD from Prime
  366.    wt: 1:   4 LCM of 8 and 10 via Prime
  367.    wt: 1:   5 lengths and signs of numbers
  368.    wt: 1:   4 signed coordinates for regions in space
  369.    wt: 1:   4 Fractions with Units
  370.    wt: 1:   B Fractions and Two Term Ratios
  371.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  372.    wt: 1:   22 Complex Compound Fractions
  373.    wt: 1:   20 Dividing Fractions the Why
  374.    wt: 1:   19 Dividing Fractions How TO
  375.    wt: 1:   12 Fraction Comparison
  376.    wt: 1:   11 Simplification an Algebraic View
  377.    wt: 1:   9 Improper Fractions and Mixed Numbers
  378.    wt: 1:   8 Numerals Fractionals Quantals Take II
  379.    wt: 1:   7 Numerals Fractionals Quantals
  380.    wt: 1:   6 Multiplication of Mixed Numbers
  381.    wt: 1:   5 Equivalent Fractions
  382.    wt: 1:   4 Fraction Multiplication
  383.    wt: 1:   2 Unit Fraction Multiplication
  384.    wt: 1:   1 What is a fraction Take II
  385.    wt: 1:   1 What is a fraction
  386.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  387.    wt: 1:   13 Subtraction with Additive Inverse
  388.    wt: 1:   11 Adding Integers Formulas and Examples
  389.    wt: 1:   10 Integer Multiplication Formulas
  390.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  391.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  392.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  393.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  394.    wt: 1:   19 video Prime Factorization Unique
  395.    wt: 1:   10 video Prime Factorization upto 23 squared
  396.    wt: 1:   9 video Prime Factorization upto 19 squared
  397.    wt: 1:   8 video Prime Factorization upto 19
  398.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  399.    wt: 1:   5 Prime Factorization and a Square Rule
  400.    wt: 1:   4 video Prime Factorization Introduction
  401.    wt: 1:   3 video Primes and Composites from 9 times table
  402.    wt: 1:   1 video how Products are bigger than factor
  403.    wt: 1:   Long Division forwards and backwards Example 3
  404.    wt: 1:   Long Division forwards and backwards Example 2
  405.    wt: 1:   Long Division forwards and backwards Example 1
  406.    wt: 1:   10 Division by Five Long and Short Ways
  407.    wt: 1:   C Counting Areas with Powers of Ten
  408.    wt: 1:   B Powers of Ten
  409.    wt: 1:   A Elementary Basis for Multiplication Methods
  410.    wt: 1:   5 Decimal Fraction Multiplication
  411.    wt: 1:   8 Subtraction with Units of Measure
  412.    wt: 1:   7 Adding decimal fractions using decimal point
  413.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  414.    wt: 1:   Quick history of numbers and algebra
  415.    wt: 1:   Exact Arithmetic Wholes and Fractions
  416.    wt: 1:   Formula Evaluation how to show work
  417.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  418.    wt: 1:   About folder contents
  419.    wt: 1:   013 Travel Time Tables
  420.    wt: 1:   012 Division of Time Intervals by Time Intervals
  421.    wt: 1:   011 Division of Time Intervals By Numbers
  422.    wt: 1:   010 Repeated Addition of Time Intervals
  423.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  424.    wt: 1:   8 Addition of Time Intervals via subtotaling
  425.    wt: 1:   7 Addition of Time Intervals
  426.    wt: 1:   4 Mixing and Changing Units of Time
  427.    wt: 1:   3 Units and Lengths of Time
  428.    wt: 1:   1 Intro of Kids To Time Date Skills
  429.    wt: 1:   Example 2 volume of a cone
  430.    wt: 1:   Example 1 volume of a pyramid
  431.    wt: 1:   Volume of Solid by Cross Sections Lesson
  432.    wt: 1:   4 Definite Integrals Evaluation Exercises
  433.    wt: 1:   2 Indefinite Integrals Exercises
  434.    wt: 1:   30Chain Rule A Proof
  435.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  436.    wt: 1:   26 Chain Rule Recognising outer inner functions
  437.    wt: 1:   22 Chain Rule for polynomials
  438.    wt: 1:   21 Chain Rule for powers
  439.    wt: 1:   20 Chain Rule for Pulley Systems
  440.    wt: 1:   13 sine and cosine derivatives 1st step
  441.    wt: 1:   10 Power rule for negative integers
  442.    wt: 1:   6 Power rule from product rule
  443.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  444.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  445.    wt: 1:   11 Limits at infinity Three Examples
  446.    wt: 1:   10 Three one sided limits with infinite values
  447.    wt: 1:   8 Four Animated Examples
  448.    wt: 1:   5 Jumps and absence of unlimited error control
  449.    wt: 1:   3 Decimal insights for limits continuity convergence
  450.    wt: 1:   2 Algebraic codification
  451.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  452.    wt: 1:   F.5b Extreme Value Theorem
  453.    wt: 1:   F.5a Equicontinuity Theorems
  454.    wt: 1:   F.3 Intermediate Value Theorem
  455.    wt: 1:   F.2 Closed Range Theorem
  456.    wt: 1:   E2 Algebraic Properties of Limits
  457.    wt: 1:   D2 Limits of Monotone Sequences
  458.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  459.    wt: 1:   PostScript For and Against Decimal Perspectives
  460.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  461.    wt: 1:   Chapter 23 Links To Trigonometry
  462.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  463.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  464.    wt: 1:   Chapter 13. Acceleration
  465.    wt: 1:   Chapter 9 About First Courses in Calculus
  466.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  467.    wt: 1:   Fall 1983 Calculus Appetizer
  468.    wt: 1:   Foreword
  469.    wt: 1:   Postscript More on Better Performance
  470.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  471.    wt: 1:   Chapter 23. Notation For Sums
  472.    wt: 1:   Chapter 19. Functions and Sets
  473.    wt: 1:   Chapter 18. Rules for Algebra
  474.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  475.    wt: 1:   Chapter 13. Second Reading Guide
  476.    wt: 1:   Chapter 8 Three Skills For Algebra
  477.    wt: 1:   Solutions For Arithmetic Exercises
  478.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  479.    wt: 1:   Chapter 6 Change of Language
  480.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  481.    wt: 1:   Chapter 4 Longer Chains of Reason
  482.    wt: 1:   Chapter 3 Chains of Reason
  483.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  484.    wt: 1:   Foreword
  485.    wt: 1:   Postscript B Mathematics Education References
  486.    wt: 1:   Chapter 12 Four Phases
  487.    wt: 1:   Chapter 7 Two Treatments of Geometry
  488.    wt: 1:   Chapter 2 For and Against Mathematics
  489.    wt: 1:   Foreword
  490.    wt: 1:   Postscript C Consistency as a Tool for Reason
  491.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  492.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  493.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  494.    wt: 1:   Chapter 8 Change of Language
  495.    wt: 1:   Chapter 7 Longer Chains of Reason
  496.    wt: 1:   Chapter 6 Chains of Reason
  497.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  498.    wt: 1:   Foreword
  499.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  500.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  501.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  502.    wt: 1:   N Mathematics Prepare for College Studies
  503.    wt: 1:   N Improving Marks on Tests and Finals
  504.    wt: 1:   How to Build Skills and Confidence
  505.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  506.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  507.    wt: 1:   7 Games and Activities for Instruction
  508.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  509.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  510.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  511.    wt: 1:   Mathematics Education References
  512.    wt: 1:   Mathematics Education References
  513.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  514.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  515.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  516.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  517.    wt: 1:   Road Safety Questions
  518.    wt: 1:   The Math Forum and Site Content

Extended Search

807 matches:

  1.    wt: 9:   13 cosecant function Definition Graph and Inverse
  2.    wt: 9:   10 arctan left inverse of tangent Definition
  3.    wt: 9:   7 arcsin left inverse of sine Definition
  4.    wt: 9:   12 From Applied To Pure Mathematics
  5.    wt: 9:   8 Parallel Vectors
  6.    wt: 9:   6 Vectors with Coordinates
  7.    wt: 9:   3 Navigation with Arrows or Vectors
  8.    wt: 9:   13 Straight Lines Finding Equations from 2 points
  9.    wt: 9:   32 seven rows of pascals triangle
  10.    wt: 9:   26 Formulas for products of sines and cosines
  11.    wt: 9:   24 tangent Angle Difference Formula
  12.    wt: 9:   22 sine of 22.5 degrees via half angle formulas
  13.    wt: 9:   13 Graph of tangent function many periods
  14.    wt: 9:   12 Graph of tangent function for one period
  15.    wt: 9:   13 Trig Formulas for dot and cross Products
  16.    wt: 9:   6 Trigonometry Sines of Supplementary Angles
  17.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  18.    wt: 9:   6 Figuring with Maps Not to Scale
  19.    wt: 9:   4 Angles on Maps Plans drawn to scale
  20.    wt: 9:   3 Lengths and Areas on Maps and Plans
  21.    wt: 8:   16 cotangent function Definition Graph and Inverse
  22.    wt: 8:   15 cosecant function Definition Graph and Inverse
  23.    wt: 8:   14 secant function Definition Graph and Inverse
  24.    wt: 8:   11 arctan left inverse of tangent Graph
  25.    wt: 8:   8 arcsin left inverse of sine Graph
  26.    wt: 8:   6 Graph of arccos function
  27.    wt: 8:   A Global Time and Navigation
  28.    wt: 8:   15 Dot and Cross Product
  29.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  30.    wt: 8:   11 Component Method
  31.    wt: 8:   10 Parallelogram Addition Method
  32.    wt: 8:   9 Head to Tail Coordinate View
  33.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  34.    wt: 8:   5 Head To Tail Arrow Addition
  35.    wt: 8:   2 Signed Coordinates
  36.    wt: 8:   1 Unsigned Coordinates
  37.    wt: 8:   Vector and Complex Number Applet
  38.    wt: 8:   17 tangent function angle sum formulas
  39.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  40.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  41.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  42.    wt: 8:   30 unit circle calculation of six trigonometric functions
  43.    wt: 8:   27 Logarithmic use of products of sines and cosines
  44.    wt: 8:   21 sine and cosine Half Angle Formulas
  45.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  46.    wt: 8:   17F Law of cosines
  47.    wt: 8:   17E Trig Formulas for dot and cross Products
  48.    wt: 8:   17D cis formulas for sine cosines and tangent
  49.    wt: 8:   11 tangent function undefined when terminal side vertical
  50.    wt: 8:   8 period of tangent function
  51.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  52.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  53.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  54.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  55.    wt: 8:   Unit Circle Development of Trigonometry
  56.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  57.    wt: 8:   4 Trigonometric Ratios For Two Special Triangles
  58.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  59.    wt: 8:   Why Trigonometry the whyslopes view
  60.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  61.    wt: 8:   13 Navigation Location from Angles to 2 Landmarks
  62.    wt: 8:   13 Pythagorean spatial distance formulas
  63.    wt: 8:   13 Angle Side Angle Failure
  64.    wt: 7:   12 motivation for term arctan
  65.    wt: 7:   9 motivation for name arcsin
  66.    wt: 7:   5 Swapping Coordinates is a reflection
  67.    wt: 7:   4 possible motivation for term arccos
  68.    wt: 7:   2 cosine function more properties
  69.    wt: 7:   1 cosine function properties
  70.    wt: 7:   3 graphing y=f(x c) plus K
  71.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  72.    wt: 7:   1 graphing y=f(x a)
  73.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  74.    wt: 7:   D Straight Lines Slope from Coordinates Examples
  75.    wt: 7:   C Straight Lines Slope from Coordinates
  76.    wt: 7:   8 Straight Lines Equation for vertical
  77.    wt: 7:   7 Tangent Function is odd on this domain
  78.    wt: 7:   6 Tangent Function Inclination Angle Take 2
  79.    wt: 7:   5 Tangent Function Graph
  80.    wt: 7:   4 Tangent Function Properties
  81.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  82.    wt: 7:   31 basic secant cosecant cotangent trig identities
  83.    wt: 7:   29 secant cosecant and cotangent for acute angles
  84.    wt: 7:   28 Expressing products of sines cosines as sums
  85.    wt: 7:   25 tangent double angle formula Slope connection
  86.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  87.    wt: 7:   20 sine and cosine Double Angle Formulas
  88.    wt: 7:   18 sum of sinusoidal waves as a single wave
  89.    wt: 7:   17C sine and cosine double triple angle formulas
  90.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  91.    wt: 7:   17A The complex number valued trig function cis
  92.    wt: 7:   15 sine cosine Complementary Angle Relations
  93.    wt: 7:   10 Graphs of sines and cosines many periods
  94.    wt: 7:   9 Graphs of sine and cosine over one period
  95.    wt: 7:   7 period of sine and cosine
  96.    wt: 7:   2 Quadrant I reference Angles
  97.    wt: 7:   1 Unit Points Reflections Rotations
  98.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  99.    wt: 7:   12 cis formulas for sine cosines and tangent
  100.    wt: 7:   8 Unit Circle Development of Trigonometry
  101.    wt: 7:   6 Field Properties of Complex Number
  102.    wt: 7:   5 An Easy Proof of the Distributive Law
  103.    wt: 7:   8 Triangles Cascade Problem Solving
  104.    wt: 7:   7 Trignometric Ratios Unit Circle
  105.    wt: 7:   3 Trigonometric Ratios sine and cosine
  106.    wt: 7:   1 Angle Measurement with Degrees
  107.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  108.    wt: 7:   4 Equations for lines three forms
  109.    wt: 7:   A Measurement with Ruler Proper Use
  110.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  111.    wt: 7:   2 Measuring Area Directly
  112.    wt: 7:   1 Length Measurement
  113.    wt: 6:   8 Radian Measures of Common Angles
  114.    wt: 6:   2 Radian Measure Numerical Value of one degree
  115.    wt: 6:   4 graphing y=Asin(x c)
  116.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  117.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  118.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  119.    wt: 6:   Straight Lines Intersection of
  120.    wt: 6:   B Straight Line Slope Scaling Properties More
  121.    wt: 6:   A Straight Line Slope Scaling Properties
  122.    wt: 6:   14 Straight Lines Equations General Case
  123.    wt: 6:   12 Straight Lines Graphing mx plus b
  124.    wt: 6:   11 Straight Lines Graphing y=mx
  125.    wt: 6:   10 Straight Lines through Origin Equations More
  126.    wt: 6:   9 Straight Lines through Origin Equations
  127.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  128.    wt: 6:   1 Straight Lines Slope Concept
  129.    wt: 6:   17G Pythagorean Theorem Converse
  130.    wt: 6:   16 Right Triangle Complementary Angle Relations
  131.    wt: 6:   14 cosine even and sine and tangent are odd
  132.    wt: 6:   20 N th Roots of Complex Numbers
  133.    wt: 6:   19 N th Roots of Unity
  134.    wt: 6:   18 Sixth Roots of Unity
  135.    wt: 6:   17 Cube Roots of unity
  136.    wt: 6:   16 References and Originality Question
  137.    wt: 6:   14 Law of cosines
  138.    wt: 6:   11 sine and cosine double triple angle formulas
  139.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  140.    wt: 6:   9 The complex number valued trig function cis
  141.    wt: 6:   9 Similarity of Triangles Usual Criteria
  142.    wt: 6:   8 Similarity of Triangles and Polygons
  143.    wt: 6:   7 Translations Rotations Reflections Dilatations
  144.    wt: 6:   6 Geometric Diagrams in Class
  145.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  146.    wt: 6:   4 Similarity Definition with Coordinate
  147.    wt: 6:   3 Similarity by Design with coordinates
  148.    wt: 6:   1 Early Concept of Like or Similar Shapes
  149.    wt: 6:   Four Simple Exercises
  150.    wt: 6:   10 Midpoint of [a b] and [b a]
  151.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  152.    wt: 6:   8 Mid Point Formula
  153.    wt: 6:   6 Intersection of lines by solving linear systems
  154.    wt: 6:   5 Algebraic View of Slopes
  155.    wt: 6:   3 Slope product for perpendicular lines
  156.    wt: 6:   2 point slope equation for a line
  157.    wt: 6:   1 Numerical view of lines and their equations
  158.    wt: 6:   10 Pythagorean plane distance formula
  159.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  160.    wt: 6:   4 Polar Coordinates to and from
  161.    wt: 6:   PS H Distributive Law For Complex Numbers
  162.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  163.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  164.    wt: 6:   17 Right Bisectors of Triangle Sides
  165.    wt: 6:   12 Side Angle Side Failure
  166.    wt: 6:   11 Triangle Construction Fails
  167.    wt: 6:   9 Construction of a right bisector
  168.    wt: 6:   3 Isometry of Triangles Congruence
  169.    wt: 6:   About Folder Contents
  170.    wt: 6:   13 video Factors of 24 using prime
  171.    wt: 5:   9 Summary Degrees to Radians and back
  172.    wt: 5:   7 Radian Measures in special Triangles
  173.    wt: 5:   6 Radian Measure to Degrees
  174.    wt: 5:   5 Degrees to Radian Measure
  175.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  176.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  177.    wt: 5:   1 Degrees and Radians Introduction
  178.    wt: 5:   Parallel Lines and Parallel Transversals
  179.    wt: 5:   Triangle Angles Sum To 180 Degrees
  180.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  181.    wt: 5:   Parallel Lines and Interior Angles
  182.    wt: 5:   Straight Lines ASA Intersection Study More
  183.    wt: 5:   Straight Lines ASA Intersection Study
  184.    wt: 5:   Straight Lines Instersection Solving Equations
  185.    wt: 5:   21 Logarithms Powers and Exponentials
  186.    wt: 5:   15 Pythagorean Theorem Converse
  187.    wt: 5:   7 Second Way to Calculate Products
  188.    wt: 5:   4 Multiplication Properties
  189.    wt: 5:   3 Addition Properties
  190.    wt: 5:   2 Complex Numbers made easier we hope
  191.    wt: 5:   1 Rectangular Polar Coordinates Review
  192.    wt: 5:   Appetizer A Complex Number Applet
  193.    wt: 5:   12 Triangles Similarity More Problems
  194.    wt: 5:   11 Triangle Similarity Missing Side Problem
  195.    wt: 5:   2 Similarity By Design
  196.    wt: 5:   12 Links Lessons elsewhere
  197.    wt: 5:   11 A Partial Summary
  198.    wt: 5:   7 Exercises to test skill and concept mastery
  199.    wt: 5:   What is and is not here
  200.    wt: 5:   12 Spatial Coordinates
  201.    wt: 5:   11 Triangle Inequality
  202.    wt: 5:   8 Distance Between Points on a Line
  203.    wt: 5:   7 Complex Numbers Appetizer
  204.    wt: 5:   6 Polar Multiplication and Rotation
  205.    wt: 5:   5 Cartesian Addition and Translation
  206.    wt: 5:   3 Rectangular Coordinates Review
  207.    wt: 5:   2 Cartesian Coordinates with signs
  208.    wt: 5:   1 Cartesian Coordinates sans signs
  209.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  210.    wt: 5:   PS G Rotation Distributes over Addition
  211.    wt: 5:   PS E Multiplication with Polar Coordinates
  212.    wt: 5:   PS D Addition with Cartesian Coordinates
  213.    wt: 5:   PS B Parallelogram Construction Methods
  214.    wt: 5:   PS A Kite Construction Methods
  215.    wt: 5:   21 Parallelograms
  216.    wt: 5:   19 Right Triangle Similarity
  217.    wt: 5:   18 Triangle Similarity Take 1
  218.    wt: 5:   16 Angles Subtended By Chords and Diameters
  219.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  220.    wt: 5:   14 Parallel Lines Postulate
  221.    wt: 5:   10 Dropping a perpendicular to line
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   7 Angle Side Angle
  224.    wt: 5:   6 Ruler and compass Angle Bisection
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   2 Correspondence between Triangles
  228.    wt: 5:   1 Initial Concepts and Terms
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   4 Four Examples Fractional Coefficients
  231.    wt: 5:   13 Naming Identifying Formulas with Words
  232.    wt: 5:   15 video Factors of 20 using Prime Factorization
  233.    wt: 5:   Postscript Unifying Theme A Fourth Skill For Algebra
  234.    wt: 4:   13 From one to one to many to one
  235.    wt: 4:   5 Function notation for geometric transformations
  236.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  237.    wt: 4:   1 Written work formats for developing and showing skill
  238.    wt: 4:   13 GCD from given Prime Factorization
  239.    wt: 4:   6 Simplification of Fractions with Units
  240.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  241.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  242.    wt: 4:   3 Unit fraction of a fraction
  243.    wt: 4:   18 video Count Factors given Prime Factorization
  244.    wt: 4:   16 video Factors of 980 using prime
  245.    wt: 4:   14 video Factors of 24 Take II
  246.    wt: 4:   Chapter 14. Forward and Backward Use of a Formula
  247.    wt: 4:   C. Domino effect of being careful
  248.    wt: 3:   Math Ed if it must be short make it lean effective
  249.    wt: 3:   five decades make a difference
  250.    wt: 3:   Different Kinds of Reasoning in maths
  251.    wt: 3:   D Kirchoff First Law
  252.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  253.    wt: 3:   8 The Effect of Negative Remarks
  254.    wt: 3:   26 Function definitions done and coming
  255.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  256.    wt: 3:   15 Sign analysis of functions
  257.    wt: 3:   8 Set view of relations and functions
  258.    wt: 3:   7 Functions with finite domains
  259.    wt: 3:   3 Formula or function graphing exercise
  260.    wt: 3:   2 Algebraic use of function notation
  261.    wt: 3:   1 Geometric Introduction of Function Notation
  262.    wt: 3:   4 quadratics difference of two squares
  263.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  264.    wt: 3:   6 Column Methods for Decimal Multiplication
  265.    wt: 3:   5 Distributive Law for Whole Numbers
  266.    wt: 3:   4 Commutative Law Groups Counting Form
  267.    wt: 3:   1 The Counting Origins of Numbers
  268.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  269.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  270.    wt: 3:   6 Compound Interest Forward and Backwards
  271.    wt: 3:   5 Triangle Area Formula Backwards
  272.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  273.    wt: 3:   3 Geometric Formulas and Function Notation
  274.    wt: 3:   1 Formulas Dependence and Function Notation
  275.    wt: 3:   11 Volume of Sphere
  276.    wt: 3:   10 Volume of Pyramid
  277.    wt: 3:   9 Volume of Cone
  278.    wt: 3:   8 Compound Interest Formula Evaluation
  279.    wt: 3:   7 Compound Interest Formula Introduction
  280.    wt: 3:   5 Box Volume Formula Example
  281.    wt: 3:   4 Circle Area Formula Example
  282.    wt: 3:   3 Triangle Area Formula Example
  283.    wt: 3:   2 Another Rectangle Area Formula Example
  284.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  285.    wt: 3:   7 GCD and LCM from prime factorization
  286.    wt: 3:   6 GCD from Prime
  287.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  288.    wt: 3:   21 Reciprocals for Fractions and Wholes
  289.    wt: 3:   18 Efficient Ways to Multiply
  290.    wt: 3:   17 Efficient Ways to Add and Subtract
  291.    wt: 3:   13 Fraction Comparison Algebraic View
  292.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  293.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  294.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  295.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  296.    wt: 3:   20 Uniqueness of Prime Factorization
  297.    wt: 3:   19 video Prime Factorization Unique
  298.    wt: 3:   17 Identify and Count Factors using Primes
  299.    wt: 3:   11 Efficient Square Rule Use
  300.    wt: 3:   10 video Prime Factorization upto 23 squared
  301.    wt: 3:   9 video Prime Factorization upto 19 squared
  302.    wt: 3:   8 video Prime Factorization upto 19
  303.    wt: 3:   4 video Prime Factorization Introduction
  304.    wt: 3:   3 video Primes and Composites from 9 times table
  305.    wt: 3:   1 video how Products are bigger than factor
  306.    wt: 3:   5 A Tip for Efficent Subtraction
  307.    wt: 3:   Example 4 with x function of y
  308.    wt: 3:   8 Differentiation of polynomials
  309.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  310.    wt: 3:   G.3 Constant Difference Theorem Proof
  311.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
  312.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  313.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  314.    wt: 3:   Postscript For Better Performance
  315.    wt: 3:   Chapter 13. Second Reading Guide
  316.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  317.    wt: 3:   B. Domino effect of errors
  318.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  319.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  320.    wt: 3:   Talking pdf files for online lessons a webvideo alternative
  321.    wt: 2:   Maps Plans Drawings
  322.    wt: 2:   three difficulties
  323.    wt: 2:   Lessening Algebra Difficulties
  324.    wt: 2:   formal or informal peer review
  325.    wt: 2:   Four ways to improve education reform
  326.    wt: 2:   Prequel In For A Penny In For A Pound
  327.    wt: 2:   fairness and inductive principles for instruction
  328.    wt: 2:   chapitre 04 08 Limitations et benefices
  329.    wt: 2:   deux definitions pour variable
  330.    wt: 2:   E Kirchoffs Second Law
  331.    wt: 2:   13 Addition and Addition Tables
  332.    wt: 2:   5 Patience Please for Yourself and Your Charges
  333.    wt: 2:   4 Learning Takes Time and Effort
  334.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  335.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  336.    wt: 2:   23 Inverse Functions
  337.    wt: 2:   22 Square Root function graphically
  338.    wt: 2:   20 Interchanging coordinates a reflection
  339.    wt: 2:   17 Function maxima minima and their location
  340.    wt: 2:   12 Function Domain Recognition Exercises
  341.    wt: 2:   11 Function Domain Range Source and Targets
  342.    wt: 2:   6 Set Existence Formation and Notation
  343.    wt: 2:   4 Function notation in and beyond mathematics
  344.    wt: 2:   8 quadratics backward use of various formulas
  345.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  346.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  347.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  348.    wt: 2:   8 Notes for instructors or tutors
  349.    wt: 2:   21 Addition of Multiples of a Single Vector
  350.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  351.    wt: 2:   19 Signed Multiples of Vectors
  352.    wt: 2:   13 Arrows and Vectors in a Plane
  353.    wt: 2:   8 Division and Mulplication of Compound Fractions
  354.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  355.    wt: 2:   1 Fractions with Finite Decimal Expansions
  356.    wt: 2:   E Long Division Methods more
  357.    wt: 2:   D Long Division Methods
  358.    wt: 2:   C Three Decimal Subtraction Methods
  359.    wt: 2:   B Decimal Comparison and Subtraction
  360.    wt: 2:   A Decimal Addition Columm Methods
  361.    wt: 2:   8 Column Multiplication Methods in General
  362.    wt: 2:   7 Decimals Multiplication Methods Examples
  363.    wt: 2:   3 Multiplicative Counting Skills Principles
  364.    wt: 2:   2 Combing Counts Addition Skills and Principles
  365.    wt: 2:   5 Areas of Rectangles Revisited
  366.    wt: 2:   4 Fraction Operations Axiomatic Development
  367.    wt: 2:   2 Fraction Operations Physical Development
  368.    wt: 2:   5 Proportionality in Equivalent Fractions
  369.    wt: 2:   3 Linear Equation Literal Solution More
  370.    wt: 2:   2 Linear Equation Literal Solution
  371.    wt: 2:   1 Changing Calculations
  372.    wt: 2:   8 Coordinates for Maps and Planes
  373.    wt: 2:   3 Four Examples
  374.    wt: 2:   Formula Usage Show Work Format
  375.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  376.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  377.    wt: 2:   4 A Brief Story of numbers and algebra
  378.    wt: 2:   3 Comparison of Negative Numbers
  379.    wt: 2:   1 More and Less Than for Counts and Measures
  380.    wt: 2:   3 Properties of Square Roots with example
  381.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  382.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  383.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  384.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  385.    wt: 2:   8 GCD from Euclidean Algorithm
  386.    wt: 2:   4 LCM of 8 and 10 via Prime
  387.    wt: 2:   3 signed coordinates for maps and planes
  388.    wt: 2:   4 Fractions with Units
  389.    wt: 2:   B Fractions and Two Term Ratios
  390.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  391.    wt: 2:   22 Complex Compound Fractions
  392.    wt: 2:   20 Dividing Fractions the Why
  393.    wt: 2:   19 Dividing Fractions How TO
  394.    wt: 2:   12 Fraction Comparison
  395.    wt: 2:   11 Simplification an Algebraic View
  396.    wt: 2:   9 Improper Fractions and Mixed Numbers
  397.    wt: 2:   8 Numerals Fractionals Quantals Take II
  398.    wt: 2:   7 Numerals Fractionals Quantals
  399.    wt: 2:   6 Multiplication of Mixed Numbers
  400.    wt: 2:   5 Equivalent Fractions
  401.    wt: 2:   4 Fraction Multiplication
  402.    wt: 2:   2 Unit Fraction Multiplication
  403.    wt: 2:   1 What is a fraction Take II
  404.    wt: 2:   1 What is a fraction
  405.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  406.    wt: 2:   13 Subtraction with Additive Inverse
  407.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  408.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  409.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  410.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  411.    wt: 2:   5 Prime Factorization and a Square Rule
  412.    wt: 2:   Long Division forwards and backwards Example 3
  413.    wt: 2:   Long Division forwards and backwards Example 2
  414.    wt: 2:   Long Division forwards and backwards Example 1
  415.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  416.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  417.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  418.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  419.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  420.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  421.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  422.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  423.    wt: 2:   Formula Evaluation how to show work
  424.    wt: 2:   Example 2 volume of a cone
  425.    wt: 2:   Example 1 volume of a pyramid
  426.    wt: 2:   Volume of Solid by Cross Sections Lesson
  427.    wt: 2:   38 Formulas and derivatives for powers and roots
  428.    wt: 2:   34 Derivative of exponential function
  429.    wt: 2:   31 Derivatives of inverse functions
  430.    wt: 2:   28 Chain Rule Preparation for a Proof
  431.    wt: 2:   19 Chain Rule for linear functions
  432.    wt: 2:   17 Derivatives of quotients of sine and cosine
  433.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  434.    wt: 2:   7 Animated Differentiation Examples
  435.    wt: 2:   3 Motivation for Limit Definition Take 2
  436.    wt: 2:   2 Motivation for Limit Definition Take 1
  437.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  438.    wt: 2:   11 Limits at infinity Three Examples
  439.    wt: 2:   10 Three one sided limits with infinite values
  440.    wt: 2:   8 Four Animated Examples
  441.    wt: 2:   5 Jumps and absence of unlimited error control
  442.    wt: 2:   3 Decimal insights for limits continuity convergence
  443.    wt: 2:   2 Algebraic codification
  444.    wt: 2:   F.5a Equicontinuity Theorems
  445.    wt: 2:   F.4 Finite Covering Theorem
  446.    wt: 2:   F.1 What Functions are Continuous
  447.    wt: 2:   Chapter 13. Acceleration
  448.    wt: 2:   Postscript More on Better Performance
  449.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  450.    wt: 2:   Chapter 23. Notation For Sums
  451.    wt: 2:   Chapter 19. Functions and Sets
  452.    wt: 2:   Chapter 18. Rules for Algebra
  453.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  454.    wt: 2:   Chapter 8 Three Skills For Algebra
  455.    wt: 2:   Solutions For Arithmetic Exercises
  456.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  457.    wt: 2:   Chapter 6 Change of Language
  458.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  459.    wt: 2:   Chapter 4 Longer Chains of Reason
  460.    wt: 2:   Chapter 3 Chains of Reason
  461.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  462.    wt: 2:   Foreword
  463.    wt: 2:   Chapter 5 Four References
  464.    wt: 2:   Chapter 3 Algebra Difficulties
  465.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  466.    wt: 2:   G. Written work formats for developing and showing skill
  467.    wt: 2:   F. The student teacher tutor feedback loop
  468.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  469.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  470.    wt: 2:   Mathematics Education References
  471.    wt: 2:   Mathematics Education References
  472.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  473.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  474.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  475.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  476.    wt: 1:   F LAMP Introduction Prerequisites
  477.    wt: 1:   Ramblings Extrinsic numbers theory
  478.    wt: 1:   Ramblings Introduction Algebra Essay
  479.    wt: 1:   Skills Chapter 3 Algebra
  480.    wt: 1:   three goals to set for students
  481.    wt: 1:   permissions for teachers
  482.    wt: 1:   activities for students
  483.    wt: 1:   About site lesson plans
  484.    wt: 1:   Mathematics Education Professors
  485.    wt: 1:   teacher certification
  486.    wt: 1:   Education Reform Inconsistencies
  487.    wt: 1:   mathematics curriculum shifts
  488.    wt: 1:   geometric implications for algebra
  489.    wt: 1:   three goals for Mathematics Education
  490.    wt: 1:   05 13 OldSiteEntrancePage
  491.    wt: 1:   02 21 words for teachers
  492.    wt: 1:   02 20 mathematics education references
  493.    wt: 1:   three aims for mathematics students
  494.    wt: 1:   standards for course material
  495.    wt: 1:   Theory of Knowledge
  496.    wt: 1:   three kinds of reason in mathematics
  497.    wt: 1:   need for a mixed mathematics curriculum
  498.    wt: 1:   words for mathematics instructor
  499.    wt: 1:   chapitre 12 00 les iles et division
  500.    wt: 1:   chapitre 07 01 principle D induction mathematique
  501.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  502.    wt: 1:   chapitre 06 00 Chaines de la raison
  503.    wt: 1:   chapitre 05 00 Deception
  504.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  505.    wt: 1:   chapitre 04 09 Regles accidentelles
  506.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  507.    wt: 1:   chapitre 04 06 engagements
  508.    wt: 1:   chapitre 04 05 Implication versus suggestion
  509.    wt: 1:   chapitre 04 04 Parlons de la logique
  510.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  511.    wt: 1:   chapitre 04 02 Deuxieme enigme
  512.    wt: 1:   chapitre 04 01 Premiere enigme
  513.    wt: 1:   chapitre 04 00 Les regles d implication
  514.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  515.    wt: 1:   chapitre 02 00 La Communication des idees
  516.    wt: 1:   chapitre 01 00 Introduction
  517.    wt: 1:   liens
  518.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  519.    wt: 1:   problemes responses
  520.    wt: 1:   problemes algebre et arithmetique
  521.    wt: 1:   Trois Notions qui menent a algebre
  522.    wt: 1:   logique deux enigme
  523.    wt: 1:   F Wire Resistance Calculation04
  524.    wt: 1:   A Wire Resistance Qualitative01
  525.    wt: 1:   F Unlike Resistors in Series
  526.    wt: 1:   C Electromotive force conventional current02
  527.    wt: 1:   B Electromotive force conventional current01
  528.    wt: 1:   24 Standards For Skill Develoment Take II
  529.    wt: 1:   24 Standards For Skill Develoment
  530.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  531.    wt: 1:   17 Math Booklets for children and young teenagers
  532.    wt: 1:   15 Counting For Parents
  533.    wt: 1:   12 Goals and Objectives For Mathematics
  534.    wt: 1:   11 Help and Defend Your Child or Teens Education
  535.    wt: 1:   10 Ends values for work study instruction
  536.    wt: 1:   3 Preparing for Science Studies
  537.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  538.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  539.    wt: 1:   sign monoticity analysis example 4
  540.    wt: 1:   sign monoticity analysis example 3
  541.    wt: 1:   sign monoticity analysis example 2
  542.    wt: 1:   sign monoticity analysis example 1
  543.    wt: 1:   19 Horizontal line rule and method
  544.    wt: 1:   18 Vertical Line Rule and Method
  545.    wt: 1:   16 Increasing or decreasing on intervals
  546.    wt: 1:   14 Surjections Injections Bijections
  547.    wt: 1:   10 Interval Notation
  548.    wt: 1:   9 Set theory term relation possible origins
  549.    wt: 1:   Introduction Reading Guide
  550.    wt: 1:   9 quadratics physical and further context
  551.    wt: 1:   7 quadratic formulla derivation
  552.    wt: 1:   3 quadratics factoring by inspection
  553.    wt: 1:   2 Square Root Simplification a prequel
  554.    wt: 1:   7 Links Lessons Elsewhere
  555.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  556.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  557.    wt: 1:   4 Polynomials Long division linear divisor
  558.    wt: 1:   3 Polynomials Multiplication Addition
  559.    wt: 1:   2 Column Multiplication Method
  560.    wt: 1:   1 Polynomials Distributive Law
  561.    wt: 1:   Rewriting algebraic substitution as function substitutions
  562.    wt: 1:   22 Multiplication of Signed Numbers
  563.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  564.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  565.    wt: 1:   9 Division with Digits after Decimal Point
  566.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  567.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  568.    wt: 1:   4 Location of Point in Decimal Addition
  569.    wt: 1:   3 Location of Point in Decimal Multiplication
  570.    wt: 1:   3 Inequalities Algebraically
  571.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  572.    wt: 1:   4 Rates Ratios and Proporitionality
  573.    wt: 1:   3 Proportionality Examples
  574.    wt: 1:   2 Algebraic View
  575.    wt: 1:   1 What is Proportionality
  576.    wt: 1:   3 Product Axioms Two Forms
  577.    wt: 1:   4 Comparison of Negative Numbers
  578.    wt: 1:   2 More and Less Than for Counts and Measures
  579.    wt: 1:   13 Real Number Subtraction
  580.    wt: 1:   9 Coordinates for Regions in Space
  581.    wt: 1:   3 Fractions
  582.    wt: 1:   5 Independent versus Dependent Variables
  583.    wt: 1:   4 Changing Letters
  584.    wt: 1:   2 Computation Rules Evaluation
  585.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  586.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  587.    wt: 1:   1 GE Substitution four examples
  588.    wt: 1:   6 Algebraic Solution Example
  589.    wt: 1:   5 Algebraic Solutions Introduction
  590.    wt: 1:   2 Three Examples
  591.    wt: 1:   1 Proper Equal Sign Usage
  592.    wt: 1:   Skill Development Notes
  593.    wt: 1:   10 One Example
  594.    wt: 1:   9 Three Examples
  595.    wt: 1:   8 One Example
  596.    wt: 1:   7 Two Examples
  597.    wt: 1:   6 Three Examples
  598.    wt: 1:   5 Three Examples
  599.    wt: 1:   4 Two Examples
  600.    wt: 1:   3 Two Examples
  601.    wt: 1:   2 Three Examples
  602.    wt: 1:   Using Letters for Physical Quantities
  603.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  604.    wt: 1:   8 Sets of Numbers
  605.    wt: 1:   7 Cautious or Safe Set Construction
  606.    wt: 1:   1 Finite Sets
  607.    wt: 1:   6 Three Notions of What is a Variable
  608.    wt: 1:   1 Three Skills For Algebra
  609.    wt: 1:   About Folder Contents
  610.    wt: 1:   arithmetic videos Real Player Format
  611.    wt: 1:   4 Greater More Less Than Signs in General
  612.    wt: 1:   2 More and Less Than with Unlike Signs
  613.    wt: 1:   5 Square Roots with primes more still
  614.    wt: 1:   4 Square Roots with primes more
  615.    wt: 1:   2 Square Roots with Prime
  616.    wt: 1:   1 Squares and Square Roots Introduction
  617.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  618.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  619.    wt: 1:   5 Common Divisors 60 45 via Prime
  620.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  621.    wt: 1:   2 Least Common Multiple LCM intro via list method
  622.    wt: 1:   1 Least Common Multiples LCM Introduction
  623.    wt: 1:   12 GCD 2700 288 via Prime
  624.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  625.    wt: 1:   4 Counting with Trees Product Rule Take I
  626.    wt: 1:   3 Counting with Tables and Trees II
  627.    wt: 1:   2 Counting with Tables and Trees I
  628.    wt: 1:   1 Counting and Counting Methods I
  629.    wt: 1:   5 lengths and signs of numbers
  630.    wt: 1:   4 signed coordinates for regions in space
  631.    wt: 1:   7 Converting or Changing Units
  632.    wt: 1:   3 Multiplying Units and Numbers
  633.    wt: 1:   2 Equality and Units
  634.    wt: 1:   1 Addition and Subtraction with Units
  635.    wt: 1:   D Three Term Ratios
  636.    wt: 1:   21 Working With Signs
  637.    wt: 1:   16 Addition Subtraction Comparision Compared
  638.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  639.    wt: 1:   14 Adding and Subtracting with Like Denominators
  640.    wt: 1:   6 Multiplication Algebraically Take II
  641.    wt: 1:   D Remainders Modulo 11 Pair Rule
  642.    wt: 1:   A Associative Law Theorectical Note
  643.    wt: 1:   11 Adding Integers Formulas and Examples
  644.    wt: 1:   10 Integer Multiplication Formulas
  645.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  646.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  647.    wt: 1:   26 Divisibility by 2 3 5 Example
  648.    wt: 1:   23 Remainder Arithmetic Modulo 2
  649.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  650.    wt: 1:   21 Remainder Arithmetic Modulo 3
  651.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  652.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  653.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  654.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  655.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  656.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  657.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  658.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  659.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  660.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  661.    wt: 1:   5 Remainder Arithmetic Modulo 5
  662.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  663.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  664.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  665.    wt: 1:   1 Remainder Arithmetic Modulo 10
  666.    wt: 1:   12 LCD GCD and LCM using Primes
  667.    wt: 1:   7 Calculator Usage Notes and Cautions
  668.    wt: 1:   2 Prime and Composites less than 16
  669.    wt: 1:   Long Division Backwards more
  670.    wt: 1:   Long Division Backward
  671.    wt: 1:   Division with Counts and Length
  672.    wt: 1:   10 Division by Five Long and Short Ways
  673.    wt: 1:   C Counting Areas with Powers of Ten
  674.    wt: 1:   B Powers of Ten
  675.    wt: 1:   A Elementary Basis for Multiplication Methods
  676.    wt: 1:   5 Decimal Fraction Multiplication
  677.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  678.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  679.    wt: 1:   Video Power Notation in Decimal Expansion
  680.    wt: 1:   Subtraction with J Conversions Example
  681.    wt: 1:   Subtraction Another Video Lesson
  682.    wt: 1:   8 Subtraction with Units of Measure
  683.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  684.    wt: 1:   7 Adding decimal fractions using decimal point
  685.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  686.    wt: 1:   Quick history of numbers and algebra
  687.    wt: 1:   Exact Arithmetic Wholes and Fractions
  688.    wt: 1:   Expression Evaluation how to show work
  689.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  690.    wt: 1:   About folder contents
  691.    wt: 1:   013 Travel Time Tables
  692.    wt: 1:   012 Division of Time Intervals by Time Intervals
  693.    wt: 1:   011 Division of Time Intervals By Numbers
  694.    wt: 1:   010 Repeated Addition of Time Intervals
  695.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  696.    wt: 1:   8 Addition of Time Intervals via subtotaling
  697.    wt: 1:   7 Addition of Time Intervals
  698.    wt: 1:   4 Mixing and Changing Units of Time
  699.    wt: 1:   3 Units and Lengths of Time
  700.    wt: 1:   1 Intro of Kids To Time Date Skills
  701.    wt: 1:   Example 1. Area Between x and x squared
  702.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  703.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  704.    wt: 1:   Example 3
  705.    wt: 1:   Example 2
  706.    wt: 1:   Example 1
  707.    wt: 1:   Area Between Curves Lesson Take 2
  708.    wt: 1:   Area Between Curves Lesson Take 1
  709.    wt: 1:   4 Definite Integrals Evaluation Exercises
  710.    wt: 1:   2 Indefinite Integrals Exercises
  711.    wt: 1:   30Chain Rule A Proof
  712.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  713.    wt: 1:   26 Chain Rule Recognising outer inner functions
  714.    wt: 1:   22 Chain Rule for polynomials
  715.    wt: 1:   21 Chain Rule for powers
  716.    wt: 1:   20 Chain Rule for Pulley Systems
  717.    wt: 1:   13 sine and cosine derivatives 1st step
  718.    wt: 1:   10 Power rule for negative integers
  719.    wt: 1:   6 Power rule from product rule
  720.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  721.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  722.    wt: 1:   9 Limits Continuity and Composition
  723.    wt: 1:   7 Evaluation by immediate or delayed substitution
  724.    wt: 1:   6 Continuity at a point
  725.    wt: 1:   4 Numerical properties
  726.    wt: 1:   1 Numerical introduction
  727.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  728.    wt: 1:   F.5b Extreme Value Theorem
  729.    wt: 1:   F.3 Intermediate Value Theorem
  730.    wt: 1:   F.2 Closed Range Theorem
  731.    wt: 1:   E2 Algebraic Properties of Limits
  732.    wt: 1:   D2 Limits of Monotone Sequences
  733.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  734.    wt: 1:   PostScript For and Against Decimal Perspectives
  735.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  736.    wt: 1:   Chapter 23 Links To Trigonometry
  737.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  738.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  739.    wt: 1:   Chapter 9 About First Courses in Calculus
  740.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  741.    wt: 1:   Fall 1983 Calculus Appetizer
  742.    wt: 1:   Foreword
  743.    wt: 1:   Appendix E. How To Study Mathematics and Why
  744.    wt: 1:   Appendix D. What to do in School and Why
  745.    wt: 1:   Appendix C. How to Read
  746.    wt: 1:   Appendix B. How To Learn
  747.    wt: 1:   Chapter 31 Direct and Indirect Reason
  748.    wt: 1:   Chapter 30 Truth Tables
  749.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  750.    wt: 1:   Chapter 28 Occurrence Tables
  751.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  752.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  753.    wt: 1:   Chapter 25. Mathematical Induction Examples
  754.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  755.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  756.    wt: 1:   Chapter 21. Third Reading Guide
  757.    wt: 1:   Chapter 20. Degrees and Radians
  758.    wt: 1:   Chapter 16. Painless Theorem Proving
  759.    wt: 1:   Chapter 15. Solving Linear Equations
  760.    wt: 1:   Chapter 12. Shorthand Usage Guide
  761.    wt: 1:   Chapter 11. Why Shorthand
  762.    wt: 1:   Chapter 10 Describing and Changing Calculations
  763.    wt: 1:   Postscript What is a Variable
  764.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  765.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  766.    wt: 1:   Postscript B Mathematics Education References
  767.    wt: 1:   Postscript A Three Remarks
  768.    wt: 1:   Chapter 12 Four Phases
  769.    wt: 1:   Chapter 7 Two Treatments of Geometry
  770.    wt: 1:   Chapter 2 For and Against Mathematics
  771.    wt: 1:   Foreword
  772.    wt: 1:   Postscript C Consistency as a Tool for Reason
  773.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  774.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  775.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  776.    wt: 1:   Chapter 8 Change of Language
  777.    wt: 1:   Chapter 7 Longer Chains of Reason
  778.    wt: 1:   Chapter 6 Chains of Reason
  779.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  780.    wt: 1:   Foreword
  781.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  782.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  783.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  784.    wt: 1:   N Mathematics Prepare for College Studies
  785.    wt: 1:   M Words to extend arithmetic
  786.    wt: 1:   N Improving Marks on Tests and Finals
  787.    wt: 1:   How to Build Skills and Confidence
  788.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  789.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  790.    wt: 1:   7 Games and Activities for Instruction
  791.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  792.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  793.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  794.    wt: 1:   Helping the Blind in Logic and Mathematics
  795.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  796.    wt: 1:   Implementation Notes
  797.    wt: 1:   More Algebra and Slope based Calculus Preview
  798.    wt: 1:   Systematic Algebra Skill Development Missing Links
  799.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  800.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  801.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  802.    wt: 1:   Which Way To Go
  803.    wt: 1:   Road Safety Questions
  804.    wt: 1:   The Math Forum and Site Content
  805.    wt: 11:   13 Velocity Vectors in Physics
  806.    wt: 10:   3 Left Inverse of cosine arccos definition
  807.    wt: 10:   4 Resultant of a Sum of Movements
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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