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 Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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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55 matches:

  1.    wt: 6:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   4 Lessons on Using Derivatives/
  3.    wt: 6:   38 Lessons on Calculating Derivatives/
  4.    wt: 6:   13 Lessons on Limits and Continuity/
  5.    wt: 5:   11 Squares and Square Roots/
  6.    wt: 5:   5 Lessons on Integration/
  7.    wt: 4:   A Origins of Counting and Figuring Methods/
  8.    wt: 4:   70 Calculus Starter Lessons/
  9.    wt: 3:   10 Examples of Algebraic Reasoning/
  10.    wt: 3:   9 Proportionality Backwards and Forwards/
  11.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  12.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  13.    wt: 3:   4 Computation Rules and Function Notation/
  14.    wt: 3:   Step 1 Stick diagram and fractions/
  15.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  16.    wt: 2:   B Real Numbers Extrinsic Development/
  17.    wt: 2:   8 Unifying Theme For Algebra/
  18.    wt: 2:   5 Real Numbers/
  19.    wt: 2:   Step 4 Gaussian Elimination/
  20.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  21.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 2:   3 Solving Linear Equations/
  23.    wt: 2:   2 Formula Forward Use Evaluation/
  24.    wt: 2:   1 Working With Sets/
  25.    wt: 2:   Algebra Starter Lessons/
  26.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  27.    wt: 2:   9 Combinatorics Trees Tables and Products/
  28.    wt: 2:   7 Arithmetic and Fractions with Units/
  29.    wt: 2:   6 Fractions and Ratios/
  30.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  31.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  32.    wt: 2:   A Decimal Counting and Adding Methods/
  33.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  34.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  35.    wt: 1:   12 Function Translating and Rescaling/
  36.    wt: 1:   11 Parallel Straight Lines and Transversals/
  37.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  38.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  39.    wt: 1:   4 Lines and Slopes Take 1/
  40.    wt: 1:   3 Cartesian and Polar Coordinates/
  41.    wt: 1:   8 Arithmetic with Signed Numbers/
  42.    wt: 1:   5 Integers/
  43.    wt: 1:   3 Prime Factorization Skills/
  44.    wt: 1:   D Decimal Long Division Methods/
  45.    wt: 1:   C Decimal Multiplication Methods/
  46.    wt: 1:   2 Arithmetic with Decimals/
  47.    wt: 1:   1 Decimal Place Value/
  48.    wt: 1:   Arithmetic and Number Theory Skills/
  49.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  50.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  51.    wt: 1:   Volume 1 Elements of Reason/
  52.    wt: 1:   Work and Study Tips/
  53.    wt: 1:   Resources and Reciprocal Links/
  54.    wt: 1:   Mathematics 506 Lessons/
  55.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

429 matches:

  1.    wt: 4:   1 Squares and Square Roots Introduction
  2.    wt: 4:   38 Formulas and derivatives for powers and roots
  3.    wt: 4:   17 Derivatives of quotients of sine and cosine
  4.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  5.    wt: 3:   27 Logarithmic use of products of sines and cosines
  6.    wt: 3:   17 Cube Roots of unity
  7.    wt: 3:   5 Similarity of Circles Squares and Rectangles
  8.    wt: 3:   3 Properties of Square Roots with example
  9.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  10.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  11.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  12.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  13.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  14.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  15.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  16.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  17.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  18.    wt: 2:   8 Set view of relations and functions
  19.    wt: 2:   4 quadratics difference of two squares
  20.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  21.    wt: 2:   4 Resultant of a Sum of Movements
  22.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  23.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  24.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  25.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  26.    wt: 2:   26 Formulas for products of sines and cosines
  27.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  28.    wt: 2:   14 cosine even and sine and tangent are odd
  29.    wt: 2:   10 Graphs of sines and cosines many periods
  30.    wt: 2:   9 Graphs of sine and cosine over one period
  31.    wt: 2:   7 period of sine and cosine
  32.    wt: 2:   20 N th Roots of Complex Numbers
  33.    wt: 2:   19 N th Roots of Unity
  34.    wt: 2:   18 Sixth Roots of Unity
  35.    wt: 2:   5 An Easy Proof of the Distributive Law
  36.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  37.    wt: 2:   8 Similarity of Triangles and Polygons
  38.    wt: 2:   10 Midpoint of [a b] and [b a]
  39.    wt: 2:   1 Numerical view of lines and their equations
  40.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  41.    wt: 2:   3 Lengths and Areas on Maps and Plans
  42.    wt: 2:   21 Addition of Multiples of a Single Vector
  43.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  44.    wt: 2:   8 Division and Mulplication of Compound Fractions
  45.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  46.    wt: 2:   2 More and Less Than for Counts and Measures
  47.    wt: 2:   4 A Brief Story of numbers and algebra
  48.    wt: 2:   1 More and Less Than for Counts and Measures
  49.    wt: 2:   5 Square Roots with primes more still
  50.    wt: 2:   4 Square Roots with primes more
  51.    wt: 2:   2 Square Roots with Prime
  52.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  53.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  54.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  55.    wt: 2:   4 LCM of 8 and 10 via Prime
  56.    wt: 2:   5 lengths and signs of numbers
  57.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  58.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  59.    wt: 2:   5 Prime Factorization and a Square Rule
  60.    wt: 2:   6. Counting and adding units and mixed units
  61.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  62.    wt: 2:   Quick history of numbers and algebra
  63.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  64.    wt: 2:   4 Mixing and Changing Units of Time
  65.    wt: 2:   3 Units and Lengths of Time
  66.    wt: 2:   Example 1. Area Between x and x squared
  67.    wt: 2:   31 Derivatives of inverse functions
  68.    wt: 2:   15 sine and cosine derivatives 3rd step
  69.    wt: 2:   14 sine and cosine derivatives 2nd step
  70.    wt: 2:   13 sine and cosine derivatives 1st step
  71.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  72.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  73.    wt: 2:   5 Jumps and absence of unlimited error control
  74.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  75.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  76.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  77.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  78.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  79.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  80.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  81.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  82.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  83.    wt: 2:   Chapter 3 Algebra Starter Lessons
  84.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  85.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  86.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  87.    wt: 2:   More Algebra and Slope based Calculus Preview
  88.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  89.    wt: 1:   Appendix 1 primary and preschool mathematic
  90.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  91.    wt: 1:   Skills Chapter 5 Calculus
  92.    wt: 1:   7 logic review and decimals an odd combination
  93.    wt: 1:   5 logarithms and exponentials etc
  94.    wt: 1:   key notes and themes
  95.    wt: 1:   Mathematics Education Professors
  96.    wt: 1:   what should be learnt and When
  97.    wt: 1:   standards for course material
  98.    wt: 1:   Theory of Knowledge
  99.    wt: 1:   Education in mathematics science and technology
  100.    wt: 1:   Different Kinds of Reasoning in maths
  101.    wt: 1:   three kinds of reason in mathematics
  102.    wt: 1:   Motivation and Context Problem
  103.    wt: 1:   fairness and inductive principles for instruction
  104.    wt: 1:   E Kirchoffs Second Law
  105.    wt: 1:   D Kirchoff First Law
  106.    wt: 1:   Home Tutoring and Home Schooling
  107.    wt: 1:   24 Standards For Skill Develoment Take II
  108.    wt: 1:   24 Standards For Skill Develoment
  109.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  110.    wt: 1:   17 Math Booklets for children and young teenagers
  111.    wt: 1:   14 Multiplication and Times Tables
  112.    wt: 1:   13 Addition and Addition Tables
  113.    wt: 1:   12 Goals and Objectives For Mathematics
  114.    wt: 1:   11 Help and Defend Your Child or Teens Education
  115.    wt: 1:   8 The Effect of Negative Remarks
  116.    wt: 1:   5 Patience Please for Yourself and Your Charges
  117.    wt: 1:   4 Learning Takes Time and Effort
  118.    wt: 1:   2 Reading and Writing Skills
  119.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  120.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  121.    wt: 1:   26 Function definitions done and coming
  122.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  123.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  124.    wt: 1:   22 Square Root function graphically
  125.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  126.    wt: 1:   19 Horizontal line rule and method
  127.    wt: 1:   18 Vertical Line Rule and Method
  128.    wt: 1:   17 Function maxima minima and their location
  129.    wt: 1:   15 Sign analysis of functions
  130.    wt: 1:   11 Function Domain Range Source and Targets
  131.    wt: 1:   6 Set Existence Formation and Notation
  132.    wt: 1:   4 Function notation in and beyond mathematics
  133.    wt: 1:   2 Algebraic use of function notation
  134.    wt: 1:   1 Geometric Introduction of Function Notation
  135.    wt: 1:   9 quadratics physical and further context
  136.    wt: 1:   8 quadratics backward use of various formulas
  137.    wt: 1:   5 quadratics completing the square
  138.    wt: 1:   11 Growth and Decay in Biology
  139.    wt: 1:   10 Exponential Growth and Decay Models
  140.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  141.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  142.    wt: 1:   2 Square Root Simplification a prequel
  143.    wt: 1:   1 Calculator Starter Exercises
  144.    wt: 1:   7 Links Lessons Elsewhere
  145.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  146.    wt: 1:   16 cotangent function Definition Graph and Inverse
  147.    wt: 1:   15 cosecant function Definition Graph and Inverse
  148.    wt: 1:   14 secant function Definition Graph and Inverse
  149.    wt: 1:   13 cosecant function Definition Graph and Inverse
  150.    wt: 1:   11 arctan left inverse of tangent Graph
  151.    wt: 1:   10 arctan left inverse of tangent Definition
  152.    wt: 1:   8 arcsin left inverse of sine Graph
  153.    wt: 1:   7 arcsin left inverse of sine Definition
  154.    wt: 1:   6 Graph of arccos function
  155.    wt: 1:   3 Left Inverse of cosine arccos definition
  156.    wt: 1:   9 Summary Degrees to Radians and back
  157.    wt: 1:   8 Radian Measures of Common Angles
  158.    wt: 1:   2 Radian Measure Numerical Value of one degree
  159.    wt: 1:   1 Degrees and Radians Introduction
  160.    wt: 1:   A Global Time and Navigation
  161.    wt: 1:   15 Dot and Cross Product
  162.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  163.    wt: 1:   Vector and Complex Number Applet
  164.    wt: 1:   Parallel Lines and Parallel Transversals
  165.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  166.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  167.    wt: 1:   Parallel Lines and Interior Angles
  168.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  169.    wt: 1:   Straight Lines Intersection of
  170.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  171.    wt: 1:   32 seven rows of pascals triangle
  172.    wt: 1:   30 unit circle calculation of six trigonometric functions
  173.    wt: 1:   29 secant cosecant and cotangent for acute angles
  174.    wt: 1:   28 Expressing products of sines cosines as sums
  175.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  176.    wt: 1:   21 sine and cosine Half Angle Formulas
  177.    wt: 1:   20 sine and cosine Double Angle Formulas
  178.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  179.    wt: 1:   18 sum of sinusoidal waves as a single wave
  180.    wt: 1:   17F Law of cosines
  181.    wt: 1:   17E Trig Formulas for dot and cross Products
  182.    wt: 1:   17D cis formulas for sine cosines and tangent
  183.    wt: 1:   17C sine and cosine double triple angle formulas
  184.    wt: 1:   13 Graph of tangent function many periods
  185.    wt: 1:   12 Graph of tangent function for one period
  186.    wt: 1:   8 period of tangent function
  187.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  188.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  189.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  190.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  191.    wt: 1:   Unit Circle Development of Trigonometry
  192.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  193.    wt: 1:   21 Logarithms Powers and Exponentials
  194.    wt: 1:   16 References and Originality Question
  195.    wt: 1:   14 Law of cosines
  196.    wt: 1:   13 Trig Formulas for dot and cross Products
  197.    wt: 1:   12 cis formulas for sine cosines and tangent
  198.    wt: 1:   11 sine and cosine double triple angle formulas
  199.    wt: 1:   8 Unit Circle Development of Trigonometry
  200.    wt: 1:   6 Field Properties of Complex Number
  201.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  202.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  203.    wt: 1:   3 Trigonometric Ratios sine and cosine
  204.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  205.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  206.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  207.    wt: 1:   9 Similarity of Triangles Usual Criteria
  208.    wt: 1:   1 Early Concept of Like or Similar Shapes
  209.    wt: 1:   12 Links Lessons elsewhere
  210.    wt: 1:   7 Exercises to test skill and concept mastery
  211.    wt: 1:   6 Intersection of lines by solving linear systems
  212.    wt: 1:   5 Algebraic View of Slopes
  213.    wt: 1:   What is and is not here
  214.    wt: 1:   6 Polar Multiplication and Rotation
  215.    wt: 1:   5 Cartesian Addition and Translation
  216.    wt: 1:   4 Polar Coordinates to and from
  217.    wt: 1:   17 Right Bisectors of Triangle Sides
  218.    wt: 1:   16 Angles Subtended By Chords and Diameters
  219.    wt: 1:   9 Construction of a right bisector
  220.    wt: 1:   6 Ruler and compass Angle Bisection
  221.    wt: 1:   3 Isometry of Triangles Congruence
  222.    wt: 1:   1 Initial Concepts and Terms
  223.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  224.    wt: 1:   A Modular and Remainder Arithmetic
  225.    wt: 1:   22 Multiplication of Signed Numbers
  226.    wt: 1:   19 Signed Multiples of Vectors
  227.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  228.    wt: 1:   13 Arrows and Vectors in a Plane
  229.    wt: 1:   11 Signed Number Addition and Addition Properties
  230.    wt: 1:   4 Location of Point in Decimal Addition
  231.    wt: 1:   3 Location of Point in Decimal Multiplication
  232.    wt: 1:   B Decimal Comparison and Subtraction
  233.    wt: 1:   2 Combing Counts Addition Skills and Principles
  234.    wt: 1:   1 The Counting Origins of Numbers
  235.    wt: 1:   5 Areas of Rectangles Revisited
  236.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  237.    wt: 1:   4 Rates Ratios and Proporitionality
  238.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  239.    wt: 1:   6 Compound Interest Forward and Backwards
  240.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  241.    wt: 1:   6 Equations and Systems Equivalent or Implied
  242.    wt: 1:   4 Subtraction and Division Axioms
  243.    wt: 1:   2 Addition and Multiplication Axioms
  244.    wt: 1:   4 Comparison of Negative Numbers
  245.    wt: 1:   3 More and Less Than with Unlike Signs
  246.    wt: 1:   10 Real Number Lengths and Signs
  247.    wt: 1:   8 Coordinates for Maps and Planes
  248.    wt: 1:   1 Whole and Natural Numbers
  249.    wt: 1:   3 Geometric Formulas and Function Notation
  250.    wt: 1:   1 Formulas Dependence and Function Notation
  251.    wt: 1:   3 GE III Equation Addition and Multiplication
  252.    wt: 1:   11 Volume of Sphere
  253.    wt: 1:   10 Volume of Pyramid
  254.    wt: 1:   9 Volume of Cone
  255.    wt: 1:   1 Written work formats for developing and showing skill
  256.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  257.    wt: 1:   9 Sets in Probability and Statistics
  258.    wt: 1:   8 Sets of Numbers
  259.    wt: 1:   6 Three Notions of What is a Variable
  260.    wt: 1:   5 Talking about Numbers and Quantities
  261.    wt: 1:   3 Comparison of Negative Numbers
  262.    wt: 1:   2 More and Less Than with Unlike Signs
  263.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  264.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  265.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  266.    wt: 1:   7 GCD and LCM from prime factorization
  267.    wt: 1:   3 Counting with Tables and Trees II
  268.    wt: 1:   2 Counting with Tables and Trees I
  269.    wt: 1:   1 Counting and Counting Methods I
  270.    wt: 1:   11 What are real lengths and numbers
  271.    wt: 1:   7 negative and additive inverse
  272.    wt: 1:   3 signed coordinates for maps and planes
  273.    wt: 1:   2 signed and unsigned numbers as coordinates
  274.    wt: 1:   6 Simplification of Fractions with Units
  275.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  276.    wt: 1:   3 Multiplying Units and Numbers
  277.    wt: 1:   2 Equality and Units
  278.    wt: 1:   1 Addition and Subtraction with Units
  279.    wt: 1:   B Fractions and Two Term Ratios
  280.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  281.    wt: 1:   21 Reciprocals for Fractions and Wholes
  282.    wt: 1:   17 Efficient Ways to Add and Subtract
  283.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  284.    wt: 1:   14 Adding and Subtracting with Like Denominators
  285.    wt: 1:   9 Improper Fractions and Mixed Numbers
  286.    wt: 1:   6 Multiplication of Mixed Numbers
  287.    wt: 1:   3 Unit fraction of a fraction
  288.    wt: 1:   11 Adding Integers Formulas and Examples
  289.    wt: 1:   5 Zero Movement and Additive Inverses
  290.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  291.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  292.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  293.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  294.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  295.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  296.    wt: 1:   20 Uniqueness of Prime Factorization
  297.    wt: 1:   17 Identify and Count Factors using Primes
  298.    wt: 1:   16 video Factors of 980 using prime
  299.    wt: 1:   15 video Factors of 20 using Prime Factorization
  300.    wt: 1:   14 video Factors of 24 Take II
  301.    wt: 1:   13 video Factors of 24 using prime
  302.    wt: 1:   12 LCD GCD and LCM using Primes
  303.    wt: 1:   11 Efficient Square Rule Use
  304.    wt: 1:   10 video Prime Factorization upto 23 squared
  305.    wt: 1:   9 video Prime Factorization upto 19 squared
  306.    wt: 1:   7 Calculator Usage Notes and Cautions
  307.    wt: 1:   3 video Primes and Composites from 9 times table
  308.    wt: 1:   2 Prime and Composites less than 16
  309.    wt: 1:   Division with Counts and Length
  310.    wt: 1:   Long Division forwards and backwards Example 3
  311.    wt: 1:   Long Division forwards and backwards Example 2
  312.    wt: 1:   Long Division forwards and backwards Example 1
  313.    wt: 1:   10 Division by Five Long and Short Ways
  314.    wt: 1:   C Counting Areas with Powers of Ten
  315.    wt: 1:   B Powers of Ten
  316.    wt: 1:   4 Two and Three Digit Multipliers
  317.    wt: 1:   8 Subtraction with Units of Measure
  318.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  319.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  320.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  321.    wt: 1:   8 What skills and work habits to require
  322.    wt: 1:   11 Place Value SI Standard International way
  323.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  324.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  325.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  326.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  327.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  328.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  329.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  330.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  331.    wt: 1:   Exact Arithmetic Wholes and Fractions
  332.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  333.    wt: 1:   015 School and work day counting tables
  334.    wt: 1:   012 Division of Time Intervals by Time Intervals
  335.    wt: 1:   011 Division of Time Intervals By Numbers
  336.    wt: 1:   010 Repeated Addition of Time Intervals
  337.    wt: 1:   8 Addition of Time Intervals via subtotaling
  338.    wt: 1:   7 Addition of Time Intervals
  339.    wt: 1:   2 Time and Date Matters in School
  340.    wt: 1:   1 Intro of Kids To Time Date Skills
  341.    wt: 1:   Example 2 volume of a cone
  342.    wt: 1:   Example 1 volume of a pyramid
  343.    wt: 1:   Volume of Solid by Cross Sections Lesson
  344.    wt: 1:   Example 4 with x function of y
  345.    wt: 1:   A Related lessons in Volume 3
  346.    wt: 1:   36 Cube root derivative animated
  347.    wt: 1:   34 Derivative of exponential function
  348.    wt: 1:   30Chain Rule A Proof
  349.    wt: 1:   28 Chain Rule Preparation for a Proof
  350.    wt: 1:   8 Differentiation of polynomials
  351.    wt: 1:   9 Limits Continuity and Composition
  352.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  353.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  354.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  355.    wt: 1:   G.3 Constant Difference Theorem Proof
  356.    wt: 1:   E2 Algebraic Properties of Limits
  357.    wt: 1:   D2 Limits of Monotone Sequences
  358.    wt: 1:   PostScript For and Against Decimal Perspectives
  359.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  360.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  361.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  362.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  363.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  364.    wt: 1:   Chapter 12. Units and Slopes
  365.    wt: 1:   Chapter 10 Slopes and Units
  366.    wt: 1:   Chapter 9 About First Courses in Calculus
  367.    wt: 1:   Chapter 7 Slopes and Velocity
  368.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  369.    wt: 1:   Chapter 2. Slopes and Ski Trails
  370.    wt: 1:   Fall 1983 Calculus Appetizer
  371.    wt: 1:   Appendix E. How To Study Mathematics and Why
  372.    wt: 1:   Appendix D. What to do in School and Why
  373.    wt: 1:   Chapter 31 Direct and Indirect Reason
  374.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  375.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  376.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  377.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  378.    wt: 1:   Chapter 20. Degrees and Radians
  379.    wt: 1:   Chapter 19. Functions and Sets
  380.    wt: 1:   Chapter 12. Shorthand Usage Guide
  381.    wt: 1:   Chapter 11. Why Shorthand
  382.    wt: 1:   Chapter 10 Describing and Changing Calculations
  383.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  384.    wt: 1:   Chapter 6 Change of Language
  385.    wt: 1:   Chapter 4 Longer Chains of Reason
  386.    wt: 1:   Chapter 3 Chains of Reason
  387.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  388.    wt: 1:   Chapter 7 Two Treatments of Geometry
  389.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  390.    wt: 1:   Chapter 2 For and Against Mathematics
  391.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  392.    wt: 1:   Postscript B More on Story Telling and Reason
  393.    wt: 1:   Chapter 24 Direct and Indirect Reason
  394.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  395.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  396.    wt: 1:   Chapter 18 Sense and Knowledge
  397.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  398.    wt: 1:   Chapter 8 Change of Language
  399.    wt: 1:   Chapter 7 Longer Chains of Reason
  400.    wt: 1:   Chapter 6 Chains of Reason
  401.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  402.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  403.    wt: 1:   O On Learning Mathematics and Science
  404.    wt: 1:   N Improving Marks on Tests and Finals
  405.    wt: 1:   J. More on written work and showing skill
  406.    wt: 1:   I. Logic and language skills
  407.    wt: 1:   H Jigsaw puzzles and problem solving
  408.    wt: 1:   G. Written work formats for developing and showing skill
  409.    wt: 1:   E. When and how to correct errors
  410.    wt: 1:   C. Domino effect of being careful
  411.    wt: 1:   B. Domino effect of errors
  412.    wt: 1:   How to Build Skills and Confidence
  413.    wt: 1:   Chapter 8 Skipped Topics and Why
  414.    wt: 1:   Chapter 6 More Algebra and Geometry
  415.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  416.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  417.    wt: 1:   7 Games and Activities for Instruction
  418.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  419.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  420.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  421.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  422.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  423.    wt: 1:   Helping the Blind in Logic and Mathematics
  424.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  425.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  426.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  427.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  428.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  429.    wt: 1:   The Math Forum and Site Content

Extended Search

806 matches:

  1.    wt: 9:   1 Squares and Square Roots Introduction
  2.    wt: 8:   3 Properties of Square Roots with example
  3.    wt: 8:   Example 1. Area Between x and x squared
  4.    wt: 8:   31 Derivatives of inverse functions
  5.    wt: 8:   15 sine and cosine derivatives 3rd step
  6.    wt: 8:   14 sine and cosine derivatives 2nd step
  7.    wt: 8:   13 sine and cosine derivatives 1st step
  8.    wt: 8:   13 Limits with Parameters and Derivatives Take II
  9.    wt: 8:   12 Limits with Parameters and Derivatives Take I
  10.    wt: 8:   5 Jumps and absence of unlimited error control
  11.    wt: 7:   5 Square Roots with primes more still
  12.    wt: 7:   4 Square Roots with primes more
  13.    wt: 7:   2 Square Roots with Prime
  14.    wt: 7:   Example 2 volume of a cone
  15.    wt: 7:   Example 1 volume of a pyramid
  16.    wt: 7:   Volume of Solid by Cross Sections Lesson
  17.    wt: 7:   Example 4 with x function of y
  18.    wt: 7:   A Related lessons in Volume 3
  19.    wt: 7:   36 Cube root derivative animated
  20.    wt: 7:   34 Derivative of exponential function
  21.    wt: 7:   30Chain Rule A Proof
  22.    wt: 7:   28 Chain Rule Preparation for a Proof
  23.    wt: 7:   8 Differentiation of polynomials
  24.    wt: 7:   9 Limits Continuity and Composition
  25.    wt: 6:   Area Between Crossing Curves Lesson Take 2
  26.    wt: 6:   Area Between Crossing Curves Lesson Take 1
  27.    wt: 6:   Example 3
  28.    wt: 6:   Example 2
  29.    wt: 6:   Example 1
  30.    wt: 6:   Area Between Curves Lesson Take 2
  31.    wt: 6:   Area Between Curves Lesson Take 1
  32.    wt: 6:   Summary
  33.    wt: 6:   4 Second derivative test exercise example
  34.    wt: 6:   3 Second derivative test
  35.    wt: 6:   2 Second derivative test prequel
  36.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  37.    wt: 6:   A Chain Rule Real Player video examples
  38.    wt: 6:   33 Chain Rule Real Player video examples
  39.    wt: 6:   29 Chain Rule Optional Reading
  40.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  41.    wt: 6:   26 Chain Rule Recognising outer inner functions
  42.    wt: 6:   25 Chain Rule Animated Examples Continued
  43.    wt: 6:   24 Chain Rule Animated Examples
  44.    wt: 6:   23 Chain Rule in general
  45.    wt: 6:   22 Chain Rule for polynomials
  46.    wt: 6:   21 Chain Rule for powers
  47.    wt: 6:   20 Chain Rule for Pulley Systems
  48.    wt: 6:   19 Chain Rule for linear functions
  49.    wt: 6:   18 Chain Rule Introduction
  50.    wt: 6:   12 Quotient rule examples
  51.    wt: 6:   11 Quotient rule
  52.    wt: 6:   10 Power rule for negative integers
  53.    wt: 6:   9 Reciprocal rule
  54.    wt: 6:   7 Animated Differentiation Examples
  55.    wt: 6:   6 Power rule from product rule
  56.    wt: 6:   5 Product Rule
  57.    wt: 6:   4 Sum Rule
  58.    wt: 6:   3 Motivation for Limit Definition Take 2
  59.    wt: 6:   2 Motivation for Limit Definition Take 1
  60.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  61.    wt: 6:   11 Limits at infinity Three Examples
  62.    wt: 6:   10 Three one sided limits with infinite values
  63.    wt: 6:   8 Four Animated Examples
  64.    wt: 6:   7 Evaluation by immediate or delayed substitution
  65.    wt: 6:   6 Continuity at a point
  66.    wt: 6:   4 Numerical properties
  67.    wt: 6:   3 Decimal insights for limits continuity convergence
  68.    wt: 6:   2 Algebraic codification
  69.    wt: 6:   1 Numerical introduction
  70.    wt: 5:   B Decimal Comparison and Subtraction
  71.    wt: 5:   2 Combing Counts Addition Skills and Principles
  72.    wt: 5:   1 The Counting Origins of Numbers
  73.    wt: 5:   2 More and Less Than for Counts and Measures
  74.    wt: 5:   1 More and Less Than for Counts and Measures
  75.    wt: 5:   A Related Material in Volume 3
  76.    wt: 5:   5 Area Under Curve Exercise
  77.    wt: 5:   4 Definite Integrals Evaluation Exercises
  78.    wt: 5:   3 Two Chain Rule Method Exercises
  79.    wt: 5:   2 Indefinite Integrals Exercises
  80.    wt: 5:   1 Chain Rule in Reverse Integration Method
  81.    wt: 4:   21 Addition of Multiples of a Single Vector
  82.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  83.    wt: 4:   8 Division and Mulplication of Compound Fractions
  84.    wt: 4:   E Long Division Methods more
  85.    wt: 4:   D Long Division Methods
  86.    wt: 4:   C Three Decimal Subtraction Methods
  87.    wt: 4:   A Decimal Addition Columm Methods
  88.    wt: 4:   8 Column Multiplication Methods in General
  89.    wt: 4:   7 Decimals Multiplication Methods Examples
  90.    wt: 4:   6 Column Methods for Decimal Multiplication
  91.    wt: 4:   5 Distributive Law for Whole Numbers
  92.    wt: 4:   4 Commutative Law Groups Counting Form
  93.    wt: 4:   3 Multiplicative Counting Skills Principles
  94.    wt: 4:   5 Areas of Rectangles Revisited
  95.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  96.    wt: 4:   4 Rates Ratios and Proporitionality
  97.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  98.    wt: 4:   6 Equations and Systems Equivalent or Implied
  99.    wt: 4:   4 Subtraction and Division Axioms
  100.    wt: 4:   2 Addition and Multiplication Axioms
  101.    wt: 4:   4 Comparison of Negative Numbers
  102.    wt: 4:   3 More and Less Than with Unlike Signs
  103.    wt: 4:   3 Geometric Formulas and Function Notation
  104.    wt: 4:   1 Formulas Dependence and Function Notation
  105.    wt: 4:   4 A Brief Story of numbers and algebra
  106.    wt: 4:   3 Comparison of Negative Numbers
  107.    wt: 4:   2 More and Less Than with Unlike Signs
  108.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  109.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  110.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  111.    wt: 4:   4 LCM of 8 and 10 via Prime
  112.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  113.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  114.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  115.    wt: 4:   6. Counting and adding units and mixed units
  116.    wt: 4:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  117.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  118.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  119.    wt: 3:   27 Logarithmic use of products of sines and cosines
  120.    wt: 3:   17 Cube Roots of unity
  121.    wt: 3:   5 Similarity of Circles Squares and Rectangles
  122.    wt: 3:   10 Midpoint of [a b] and [b a]
  123.    wt: 3:   1 Numerical view of lines and their equations
  124.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  125.    wt: 3:   A Modular and Remainder Arithmetic
  126.    wt: 3:   22 Multiplication of Signed Numbers
  127.    wt: 3:   19 Signed Multiples of Vectors
  128.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  129.    wt: 3:   13 Arrows and Vectors in a Plane
  130.    wt: 3:   11 Signed Number Addition and Addition Properties
  131.    wt: 3:   4 Location of Point in Decimal Addition
  132.    wt: 3:   3 Location of Point in Decimal Multiplication
  133.    wt: 3:   4 Fraction Operations Axiomatic Development
  134.    wt: 3:   3 Inequalities Algebraically
  135.    wt: 3:   2 Fraction Operations Physical Development
  136.    wt: 3:   5 Proportionality in Equivalent Fractions
  137.    wt: 3:   3 Proportionality Examples
  138.    wt: 3:   2 Algebraic View
  139.    wt: 3:   1 What is Proportionality
  140.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  141.    wt: 3:   6 Compound Interest Forward and Backwards
  142.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  143.    wt: 3:   5 Equality in Algebra
  144.    wt: 3:   3 Product Axioms Two Forms
  145.    wt: 3:   1 Equivalent Computation Rules
  146.    wt: 3:   5 Greater More Less Than Signs in General
  147.    wt: 3:   1 Real Numbers Comparison
  148.    wt: 3:   10 Real Number Lengths and Signs
  149.    wt: 3:   8 Coordinates for Maps and Planes
  150.    wt: 3:   1 Whole and Natural Numbers
  151.    wt: 3:   5 Independent versus Dependent Variables
  152.    wt: 3:   4 Changing Letters
  153.    wt: 3:   2 Computation Rules Evaluation
  154.    wt: 3:   3 GE III Equation Addition and Multiplication
  155.    wt: 3:   Skill Development Notes
  156.    wt: 3:   10 One Example
  157.    wt: 3:   9 Three Examples
  158.    wt: 3:   8 One Example
  159.    wt: 3:   7 Two Examples
  160.    wt: 3:   6 Three Examples
  161.    wt: 3:   5 Three Examples
  162.    wt: 3:   4 Two Examples
  163.    wt: 3:   3 Two Examples
  164.    wt: 3:   2 Three Examples
  165.    wt: 3:   11 Volume of Sphere
  166.    wt: 3:   10 Volume of Pyramid
  167.    wt: 3:   9 Volume of Cone
  168.    wt: 3:   1 Written work formats for developing and showing skill
  169.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  170.    wt: 3:   9 Sets in Probability and Statistics
  171.    wt: 3:   8 Sets of Numbers
  172.    wt: 3:   6 Three Notions of What is a Variable
  173.    wt: 3:   5 Talking about Numbers and Quantities
  174.    wt: 3:   4 Greater More Less Than Signs in General
  175.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  176.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  177.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  178.    wt: 3:   7 GCD and LCM from prime factorization
  179.    wt: 3:   3 Counting with Tables and Trees II
  180.    wt: 3:   2 Counting with Tables and Trees I
  181.    wt: 3:   1 Counting and Counting Methods I
  182.    wt: 3:   5 lengths and signs of numbers
  183.    wt: 3:   6 Simplification of Fractions with Units
  184.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  185.    wt: 3:   3 Multiplying Units and Numbers
  186.    wt: 3:   2 Equality and Units
  187.    wt: 3:   1 Addition and Subtraction with Units
  188.    wt: 3:   B Fractions and Two Term Ratios
  189.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  190.    wt: 3:   21 Reciprocals for Fractions and Wholes
  191.    wt: 3:   17 Efficient Ways to Add and Subtract
  192.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  193.    wt: 3:   14 Adding and Subtracting with Like Denominators
  194.    wt: 3:   9 Improper Fractions and Mixed Numbers
  195.    wt: 3:   6 Multiplication of Mixed Numbers
  196.    wt: 3:   3 Unit fraction of a fraction
  197.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  198.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  199.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  200.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  201.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  202.    wt: 3:   5 Prime Factorization and a Square Rule
  203.    wt: 3:   8 Subtraction with Units of Measure
  204.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  205.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  206.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  207.    wt: 3:   8 What skills and work habits to require
  208.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  209.    wt: 3:   Quick history of numbers and algebra
  210.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  211.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  212.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  213.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  214.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  215.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  216.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  217.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  218.    wt: 3:   Chapter 7 Calculus Previews and Calculus Lightly
  219.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  220.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  221.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  222.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  223.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  224.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  225.    wt: 2:   8 Set view of relations and functions
  226.    wt: 2:   4 quadratics difference of two squares
  227.    wt: 2:   11 Growth and Decay in Biology
  228.    wt: 2:   10 Exponential Growth and Decay Models
  229.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  230.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  231.    wt: 2:   2 Square Root Simplification a prequel
  232.    wt: 2:   1 Calculator Starter Exercises
  233.    wt: 2:   9 Summary Degrees to Radians and back
  234.    wt: 2:   8 Radian Measures of Common Angles
  235.    wt: 2:   2 Radian Measure Numerical Value of one degree
  236.    wt: 2:   1 Degrees and Radians Introduction
  237.    wt: 2:   4 Resultant of a Sum of Movements
  238.    wt: 2:   Parallel Lines and Parallel Transversals
  239.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  240.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  241.    wt: 2:   Parallel Lines and Interior Angles
  242.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  243.    wt: 2:   Straight Lines Intersection of
  244.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  245.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  246.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  247.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  248.    wt: 2:   26 Formulas for products of sines and cosines
  249.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  250.    wt: 2:   14 cosine even and sine and tangent are odd
  251.    wt: 2:   10 Graphs of sines and cosines many periods
  252.    wt: 2:   9 Graphs of sine and cosine over one period
  253.    wt: 2:   7 period of sine and cosine
  254.    wt: 2:   20 N th Roots of Complex Numbers
  255.    wt: 2:   19 N th Roots of Unity
  256.    wt: 2:   18 Sixth Roots of Unity
  257.    wt: 2:   5 An Easy Proof of the Distributive Law
  258.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  259.    wt: 2:   8 Similarity of Triangles and Polygons
  260.    wt: 2:   12 Links Lessons elsewhere
  261.    wt: 2:   7 Exercises to test skill and concept mastery
  262.    wt: 2:   6 Intersection of lines by solving linear systems
  263.    wt: 2:   5 Algebraic View of Slopes
  264.    wt: 2:   What is and is not here
  265.    wt: 2:   6 Polar Multiplication and Rotation
  266.    wt: 2:   5 Cartesian Addition and Translation
  267.    wt: 2:   4 Polar Coordinates to and from
  268.    wt: 2:   3 Lengths and Areas on Maps and Plans
  269.    wt: 2:   musings do not puiblish real numbers
  270.    wt: 2:   A Signed Number Arithmetic Review
  271.    wt: 2:   26 More Less Greater Than Comparison
  272.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  273.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  274.    wt: 2:   23 Distributive Law Two Derivations
  275.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  276.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  277.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  278.    wt: 2:   15 Head to Tails in place Addition Associative
  279.    wt: 2:   12 Real Numbers Line Signed Coordinates
  280.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  281.    wt: 2:   9 Division with Digits after Decimal Point
  282.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  283.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  284.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  285.    wt: 2:   2 Counting Digits in Decimal Multiplication
  286.    wt: 2:   1 Fractions with Finite Decimal Expansions
  287.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  288.    wt: 2:   5 Triangle Area Formula Backwards
  289.    wt: 2:   3 Linear Equation Literal Solution More
  290.    wt: 2:   2 Linear Equation Literal Solution
  291.    wt: 2:   1 Changing Calculations
  292.    wt: 2:   16 Real Numbers Comparison
  293.    wt: 2:   15 Real Number Division
  294.    wt: 2:   14 Real Number Multiplication
  295.    wt: 2:   13 Real Number Subtraction
  296.    wt: 2:   12 Real Number Additive Inverses or Negatives
  297.    wt: 2:   11 Real Number Addition
  298.    wt: 2:   9 Coordinates for Regions in Space
  299.    wt: 2:   7 Real Numbers as Line Cordinates
  300.    wt: 2:   6 Unsigned Real Numbers
  301.    wt: 2:   5 Rational Numbers More
  302.    wt: 2:   4 Rational Numbers
  303.    wt: 2:   3 Fractions
  304.    wt: 2:   2 Integers
  305.    wt: 2:   More Exercises
  306.    wt: 2:   Simple Exercises
  307.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  308.    wt: 2:   4 GE III Animated Examples
  309.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  310.    wt: 2:   2 GE II Comparison
  311.    wt: 2:   1 GE Substitution four examples
  312.    wt: 2:   4 Solving a triangular system exercise
  313.    wt: 2:   3 Solving triangular system example
  314.    wt: 2:   2 Essentially one exercises three with solution
  315.    wt: 2:   1 Essentially One Unknown
  316.    wt: 2:   6 Algebraic Solution Example
  317.    wt: 2:   5 Algebraic Solutions Introduction
  318.    wt: 2:   4 Four Examples Fractional Coefficients
  319.    wt: 2:   3 Four Examples
  320.    wt: 2:   2 Three Examples
  321.    wt: 2:   1 Proper Equal Sign Usage
  322.    wt: 2:   Using Letters for Physical Quantities
  323.    wt: 2:   Formula Usage Show Work Format
  324.    wt: 2:   13 Naming Identifying Formulas with Words
  325.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  326.    wt: 2:   8 Compound Interest Formula Evaluation
  327.    wt: 2:   7 Compound Interest Formula Introduction
  328.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  329.    wt: 2:   5 Box Volume Formula Example
  330.    wt: 2:   4 Circle Area Formula Example
  331.    wt: 2:   3 Triangle Area Formula Example
  332.    wt: 2:   2 Another Rectangle Area Formula Example
  333.    wt: 2:   7 Cautious or Safe Set Construction
  334.    wt: 2:   6 Power Set Notation
  335.    wt: 2:   5 Product Builder Notation
  336.    wt: 2:   4 Subset Builder Notation
  337.    wt: 2:   3 Counting with Sets etc
  338.    wt: 2:   2 Venn Diagrams
  339.    wt: 2:   1 Finite Sets
  340.    wt: 2:   3 Adding Words To Arithmetic
  341.    wt: 2:   2 What is a Variable
  342.    wt: 2:   1 Three Skills For Algebra
  343.    wt: 2:   About Folder Contents
  344.    wt: 2:   13 GCD from given Prime Factorization
  345.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  346.    wt: 2:   8 GCD from Euclidean Algorithm
  347.    wt: 2:   6 GCD from Prime
  348.    wt: 2:   5 Common Divisors 60 45 via Prime
  349.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  350.    wt: 2:   2 Least Common Multiple LCM intro via list method
  351.    wt: 2:   1 Least Common Multiples LCM Introduction
  352.    wt: 2:   12 GCD 2700 288 via Prime
  353.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  354.    wt: 2:   4 Counting with Trees Product Rule Take I
  355.    wt: 2:   11 What are real lengths and numbers
  356.    wt: 2:   7 negative and additive inverse
  357.    wt: 2:   3 signed coordinates for maps and planes
  358.    wt: 2:   2 signed and unsigned numbers as coordinates
  359.    wt: 2:   7 Converting or Changing Units
  360.    wt: 2:   4 Fractions with Units
  361.    wt: 2:   D Three Term Ratios
  362.    wt: 2:   22 Complex Compound Fractions
  363.    wt: 2:   21 Working With Signs
  364.    wt: 2:   20 Dividing Fractions the Why
  365.    wt: 2:   19 Dividing Fractions How TO
  366.    wt: 2:   18 Efficient Ways to Multiply
  367.    wt: 2:   16 Addition Subtraction Comparision Compared
  368.    wt: 2:   13 Fraction Comparison Algebraic View
  369.    wt: 2:   12 Fraction Comparison
  370.    wt: 2:   11 Simplification an Algebraic View
  371.    wt: 2:   8 Numerals Fractionals Quantals Take II
  372.    wt: 2:   7 Numerals Fractionals Quantals
  373.    wt: 2:   6 Multiplication Algebraically Take II
  374.    wt: 2:   5 Equivalent Fractions
  375.    wt: 2:   4 Fraction Multiplication
  376.    wt: 2:   2 Unit Fraction Multiplication
  377.    wt: 2:   1 What is a fraction Take II
  378.    wt: 2:   1 What is a fraction
  379.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  380.    wt: 2:   11 Adding Integers Formulas and Examples
  381.    wt: 2:   5 Zero Movement and Additive Inverses
  382.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  383.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  384.    wt: 2:   26 Divisibility by 2 3 5 Example
  385.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  386.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  387.    wt: 2:   23 Remainder Arithmetic Modulo 2
  388.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  389.    wt: 2:   21 Remainder Arithmetic Modulo 3
  390.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  391.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  392.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  393.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  394.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  395.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  396.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  397.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  398.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  399.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  400.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  401.    wt: 2:   5 Remainder Arithmetic Modulo 5
  402.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  403.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  404.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  405.    wt: 2:   1 Remainder Arithmetic Modulo 10
  406.    wt: 2:   20 Uniqueness of Prime Factorization
  407.    wt: 2:   17 Identify and Count Factors using Primes
  408.    wt: 2:   16 video Factors of 980 using prime
  409.    wt: 2:   15 video Factors of 20 using Prime Factorization
  410.    wt: 2:   14 video Factors of 24 Take II
  411.    wt: 2:   13 video Factors of 24 using prime
  412.    wt: 2:   12 LCD GCD and LCM using Primes
  413.    wt: 2:   11 Efficient Square Rule Use
  414.    wt: 2:   10 video Prime Factorization upto 23 squared
  415.    wt: 2:   9 video Prime Factorization upto 19 squared
  416.    wt: 2:   7 Calculator Usage Notes and Cautions
  417.    wt: 2:   3 video Primes and Composites from 9 times table
  418.    wt: 2:   2 Prime and Composites less than 16
  419.    wt: 2:   Division with Counts and Length
  420.    wt: 2:   Long Division forwards and backwards Example 3
  421.    wt: 2:   Long Division forwards and backwards Example 2
  422.    wt: 2:   Long Division forwards and backwards Example 1
  423.    wt: 2:   10 Division by Five Long and Short Ways
  424.    wt: 2:   C Counting Areas with Powers of Ten
  425.    wt: 2:   B Powers of Ten
  426.    wt: 2:   4 Two and Three Digit Multipliers
  427.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  428.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  429.    wt: 2:   Subtraction with J Conversions Example
  430.    wt: 2:   Subtraction Another Video Lesson
  431.    wt: 2:   9 22 Minute Subtraction Review Video
  432.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  433.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  434.    wt: 2:   5 A Tip for Efficent Subtraction
  435.    wt: 2:   2 Subtraction Easy Case Examples
  436.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  437.    wt: 2:   7 Adding decimal fractions using decimal point
  438.    wt: 2:   5. How to add decimals C. Examples
  439.    wt: 2:   4. How to add with decimals B with conversions
  440.    wt: 2:   3. How to add with decimals A sans conversions
  441.    wt: 2:   2 Decimal Counting Practices
  442.    wt: 2:   1. Explaining Addition Table
  443.    wt: 2:   11 Place Value SI Standard International way
  444.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  445.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  446.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  447.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  448.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  449.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  450.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  451.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  452.    wt: 2:   Exact Arithmetic Wholes and Fractions
  453.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  454.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  455.    wt: 2:   4 Mixing and Changing Units of Time
  456.    wt: 2:   3 Units and Lengths of Time
  457.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  458.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  459.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  460.    wt: 2:   G.3 Constant Difference Theorem Proof
  461.    wt: 2:   E2 Algebraic Properties of Limits
  462.    wt: 2:   D2 Limits of Monotone Sequences
  463.    wt: 2:   PostScript For and Against Decimal Perspectives
  464.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  465.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  466.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  467.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  468.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  469.    wt: 2:   Chapter 12. Units and Slopes
  470.    wt: 2:   Chapter 10 Slopes and Units
  471.    wt: 2:   Chapter 9 About First Courses in Calculus
  472.    wt: 2:   Chapter 7 Slopes and Velocity
  473.    wt: 2:   Chapter 6. Slopes and Vertical Shifts
  474.    wt: 2:   Chapter 2. Slopes and Ski Trails
  475.    wt: 2:   Fall 1983 Calculus Appetizer
  476.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  477.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  478.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  479.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  480.    wt: 2:   O On Learning Mathematics and Science
  481.    wt: 2:   N Improving Marks on Tests and Finals
  482.    wt: 2:   J. More on written work and showing skill
  483.    wt: 2:   I. Logic and language skills
  484.    wt: 2:   H Jigsaw puzzles and problem solving
  485.    wt: 2:   G. Written work formats for developing and showing skill
  486.    wt: 2:   E. When and how to correct errors
  487.    wt: 2:   C. Domino effect of being careful
  488.    wt: 2:   B. Domino effect of errors
  489.    wt: 2:   How to Build Skills and Confidence
  490.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  491.    wt: 2:   Chapter 3 Algebra Starter Lessons
  492.    wt: 2:   7 Games and Activities for Instruction
  493.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  494.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  495.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  496.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  497.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  498.    wt: 2:   More Algebra and Slope based Calculus Preview
  499.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  500.    wt: 1:   Appendix 1 primary and preschool mathematic
  501.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  502.    wt: 1:   Skills Chapter 5 Calculus
  503.    wt: 1:   7 logic review and decimals an odd combination
  504.    wt: 1:   5 logarithms and exponentials etc
  505.    wt: 1:   key notes and themes
  506.    wt: 1:   Mathematics Education Professors
  507.    wt: 1:   what should be learnt and When
  508.    wt: 1:   standards for course material
  509.    wt: 1:   Theory of Knowledge
  510.    wt: 1:   Education in mathematics science and technology
  511.    wt: 1:   Different Kinds of Reasoning in maths
  512.    wt: 1:   three kinds of reason in mathematics
  513.    wt: 1:   Motivation and Context Problem
  514.    wt: 1:   fairness and inductive principles for instruction
  515.    wt: 1:   E Kirchoffs Second Law
  516.    wt: 1:   D Kirchoff First Law
  517.    wt: 1:   Home Tutoring and Home Schooling
  518.    wt: 1:   24 Standards For Skill Develoment Take II
  519.    wt: 1:   24 Standards For Skill Develoment
  520.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  521.    wt: 1:   17 Math Booklets for children and young teenagers
  522.    wt: 1:   14 Multiplication and Times Tables
  523.    wt: 1:   13 Addition and Addition Tables
  524.    wt: 1:   12 Goals and Objectives For Mathematics
  525.    wt: 1:   11 Help and Defend Your Child or Teens Education
  526.    wt: 1:   8 The Effect of Negative Remarks
  527.    wt: 1:   5 Patience Please for Yourself and Your Charges
  528.    wt: 1:   4 Learning Takes Time and Effort
  529.    wt: 1:   2 Reading and Writing Skills
  530.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  531.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  532.    wt: 1:   26 Function definitions done and coming
  533.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  534.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  535.    wt: 1:   22 Square Root function graphically
  536.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  537.    wt: 1:   19 Horizontal line rule and method
  538.    wt: 1:   18 Vertical Line Rule and Method
  539.    wt: 1:   17 Function maxima minima and their location
  540.    wt: 1:   15 Sign analysis of functions
  541.    wt: 1:   11 Function Domain Range Source and Targets
  542.    wt: 1:   6 Set Existence Formation and Notation
  543.    wt: 1:   4 Function notation in and beyond mathematics
  544.    wt: 1:   2 Algebraic use of function notation
  545.    wt: 1:   1 Geometric Introduction of Function Notation
  546.    wt: 1:   9 quadratics physical and further context
  547.    wt: 1:   8 quadratics backward use of various formulas
  548.    wt: 1:   5 quadratics completing the square
  549.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  550.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  551.    wt: 1:   5 Natural Logarithm Calculator Exercises
  552.    wt: 1:   7 Links Lessons Elsewhere
  553.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  554.    wt: 1:   16 cotangent function Definition Graph and Inverse
  555.    wt: 1:   15 cosecant function Definition Graph and Inverse
  556.    wt: 1:   14 secant function Definition Graph and Inverse
  557.    wt: 1:   13 cosecant function Definition Graph and Inverse
  558.    wt: 1:   11 arctan left inverse of tangent Graph
  559.    wt: 1:   10 arctan left inverse of tangent Definition
  560.    wt: 1:   8 arcsin left inverse of sine Graph
  561.    wt: 1:   7 arcsin left inverse of sine Definition
  562.    wt: 1:   6 Graph of arccos function
  563.    wt: 1:   3 Left Inverse of cosine arccos definition
  564.    wt: 1:   7 Radian Measures in special Triangles
  565.    wt: 1:   6 Radian Measure to Degrees
  566.    wt: 1:   5 Degrees to Radian Measure
  567.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  568.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  569.    wt: 1:   A Global Time and Navigation
  570.    wt: 1:   15 Dot and Cross Product
  571.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  572.    wt: 1:   Vector and Complex Number Applet
  573.    wt: 1:   4 graphing y=Asin(x c)
  574.    wt: 1:   3 graphing y=f(x c) plus K
  575.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  576.    wt: 1:   1 graphing y=f(x a)
  577.    wt: 1:   Triangle Angles Sum To 180 Degrees
  578.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  579.    wt: 1:   Straight Lines ASA Intersection Study More
  580.    wt: 1:   Straight Lines ASA Intersection Study
  581.    wt: 1:   Straight Lines Instersection Solving Equations
  582.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  583.    wt: 1:   C Straight Lines Slope from Coordinates
  584.    wt: 1:   B Straight Line Slope Scaling Properties More
  585.    wt: 1:   A Straight Line Slope Scaling Properties
  586.    wt: 1:   14 Straight Lines Equations General Case
  587.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  588.    wt: 1:   12 Straight Lines Graphing mx plus b
  589.    wt: 1:   11 Straight Lines Graphing y=mx
  590.    wt: 1:   10 Straight Lines through Origin Equations More
  591.    wt: 1:   9 Straight Lines through Origin Equations
  592.    wt: 1:   8 Straight Lines Equation for vertical
  593.    wt: 1:   7 Tangent Function is odd on this domain
  594.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  595.    wt: 1:   5 Tangent Function Graph
  596.    wt: 1:   4 Tangent Function Properties
  597.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  598.    wt: 1:   1 Straight Lines Slope Concept
  599.    wt: 1:   32 seven rows of pascals triangle
  600.    wt: 1:   30 unit circle calculation of six trigonometric functions
  601.    wt: 1:   29 secant cosecant and cotangent for acute angles
  602.    wt: 1:   28 Expressing products of sines cosines as sums
  603.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  604.    wt: 1:   21 sine and cosine Half Angle Formulas
  605.    wt: 1:   20 sine and cosine Double Angle Formulas
  606.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  607.    wt: 1:   18 sum of sinusoidal waves as a single wave
  608.    wt: 1:   17F Law of cosines
  609.    wt: 1:   17E Trig Formulas for dot and cross Products
  610.    wt: 1:   17D cis formulas for sine cosines and tangent
  611.    wt: 1:   17C sine and cosine double triple angle formulas
  612.    wt: 1:   13 Graph of tangent function many periods
  613.    wt: 1:   12 Graph of tangent function for one period
  614.    wt: 1:   8 period of tangent function
  615.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  616.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  617.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  618.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  619.    wt: 1:   Unit Circle Development of Trigonometry
  620.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  621.    wt: 1:   21 Logarithms Powers and Exponentials
  622.    wt: 1:   16 References and Originality Question
  623.    wt: 1:   14 Law of cosines
  624.    wt: 1:   13 Trig Formulas for dot and cross Products
  625.    wt: 1:   12 cis formulas for sine cosines and tangent
  626.    wt: 1:   11 sine and cosine double triple angle formulas
  627.    wt: 1:   8 Unit Circle Development of Trigonometry
  628.    wt: 1:   6 Field Properties of Complex Number
  629.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  630.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  631.    wt: 1:   3 Trigonometric Ratios sine and cosine
  632.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  633.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  634.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  635.    wt: 1:   9 Similarity of Triangles Usual Criteria
  636.    wt: 1:   1 Early Concept of Like or Similar Shapes
  637.    wt: 1:   Four Simple Exercises
  638.    wt: 1:   11 A Partial Summary
  639.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  640.    wt: 1:   8 Mid Point Formula
  641.    wt: 1:   4 Equations for lines three forms
  642.    wt: 1:   3 Slope product for perpendicular lines
  643.    wt: 1:   2 point slope equation for a line
  644.    wt: 1:   13 Pythagorean spatial distance formulas
  645.    wt: 1:   12 Spatial Coordinates
  646.    wt: 1:   11 Triangle Inequality
  647.    wt: 1:   10 Pythagorean plane distance formula
  648.    wt: 1:   8 Distance Between Points on a Line
  649.    wt: 1:   7 Complex Numbers Appetizer
  650.    wt: 1:   3 Rectangular Coordinates Review
  651.    wt: 1:   2 Cartesian Coordinates with signs
  652.    wt: 1:   1 Cartesian Coordinates sans signs
  653.    wt: 1:   17 Right Bisectors of Triangle Sides
  654.    wt: 1:   16 Angles Subtended By Chords and Diameters
  655.    wt: 1:   9 Construction of a right bisector
  656.    wt: 1:   6 Ruler and compass Angle Bisection
  657.    wt: 1:   3 Isometry of Triangles Congruence
  658.    wt: 1:   1 Initial Concepts and Terms
  659.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  660.    wt: 1:   arithmetic videos Real Player Format
  661.    wt: 1:   10 dividing signed numbers
  662.    wt: 1:   9 subtracting signed numbers
  663.    wt: 1:   8 multiplying signed numbers
  664.    wt: 1:   6 adding signed numbers
  665.    wt: 1:   4 signed coordinates for regions in space
  666.    wt: 1:   D Remainders Modulo 11 Pair Rule
  667.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  668.    wt: 1:   B Integer Long Division Multiple Choices
  669.    wt: 1:   A Associative Law Theorectical Note
  670.    wt: 1:   13 Subtraction with Additive Inverse
  671.    wt: 1:   12 Adding Integers More Examples
  672.    wt: 1:   10 Integer Multiplication Formulas
  673.    wt: 1:   9 Multiplying Integers
  674.    wt: 1:   8 Multiplication by Signed Numbers Integers
  675.    wt: 1:   7 Multiplication by Signs
  676.    wt: 1:   6 Multiplication by Natural Numbers
  677.    wt: 1:   4 Adding Movements wiht opposite directions
  678.    wt: 1:   3 Adding Movements with same direction
  679.    wt: 1:   1 Integers as Coordinates
  680.    wt: 1:   19 video Prime Factorization Unique
  681.    wt: 1:   18 video Count Factors given Prime Factorization
  682.    wt: 1:   8 video Prime Factorization upto 19
  683.    wt: 1:   4 video Prime Factorization Introduction
  684.    wt: 1:   1 video how Products are bigger than factor
  685.    wt: 1:   Long Division Backwards more
  686.    wt: 1:   Long Division Backward
  687.    wt: 1:   12 Why Long Division Works Take III
  688.    wt: 1:   11 Another Single Digit Divisor Example
  689.    wt: 1:   9 Why Long Division Works Take II
  690.    wt: 1:   8 Correcting the Mistake
  691.    wt: 1:   7 Long Divison Mistake Catching
  692.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  693.    wt: 1:   5 Long Division Include Zeroes or not
  694.    wt: 1:   4 Division with 2 Digit Divsors
  695.    wt: 1:   3 Division Single Digit Divisor Example
  696.    wt: 1:   2 Division with Single Digit Divisors
  697.    wt: 1:   1 Divsion Physical Examples
  698.    wt: 1:   D Decimal Multiplication Methods Derived
  699.    wt: 1:   A Elementary Basis for Multiplication Methods
  700.    wt: 1:   6 Multiplication Commutes Order Not Important
  701.    wt: 1:   5 Decimal Fraction Multiplication
  702.    wt: 1:   3 More One Digit Multipliers
  703.    wt: 1:   2 One Digit Multipliers
  704.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  705.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  706.    wt: 1:   Video Power Notation in Decimal Expansion
  707.    wt: 1:   1 Why 3 times 5 gives 15
  708.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  709.    wt: 1:   Formula Evaluation how to show work
  710.    wt: 1:   Expression Evaluation how to show work
  711.    wt: 1:   The 20 Times Table
  712.    wt: 1:   The 12 Times Table Visually
  713.    wt: 1:   About folder contents
  714.    wt: 1:   015 School and work day counting tables
  715.    wt: 1:   012 Division of Time Intervals by Time Intervals
  716.    wt: 1:   011 Division of Time Intervals By Numbers
  717.    wt: 1:   010 Repeated Addition of Time Intervals
  718.    wt: 1:   8 Addition of Time Intervals via subtotaling
  719.    wt: 1:   7 Addition of Time Intervals
  720.    wt: 1:   2 Time and Date Matters in School
  721.    wt: 1:   1 Intro of Kids To Time Date Skills
  722.    wt: 1:   G.5 Motions With Bounded Velocities
  723.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  724.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  725.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  726.    wt: 1:   F.5b Extreme Value Theorem
  727.    wt: 1:   F.5a Equicontinuity Theorems
  728.    wt: 1:   F.4 Finite Covering Theorem
  729.    wt: 1:   F.3 Intermediate Value Theorem
  730.    wt: 1:   F.2 Closed Range Theorem
  731.    wt: 1:   F.1 What Functions are Continuous
  732.    wt: 1:   E1 Error Control Inequalities
  733.    wt: 1:   C Triangle Inequalities
  734.    wt: 1:   B3 Bolzano Weierstrass Theorem
  735.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  736.    wt: 1:   A1. Introduction
  737.    wt: 1:   Chapter 23 Links To Trigonometry
  738.    wt: 1:   Chapter 22 Complex Numbers
  739.    wt: 1:   Chapter 21 Arrow Addition
  740.    wt: 1:   Chapter 18. Slopes Areas Integration
  741.    wt: 1:   Chapter 17. Area Approximation
  742.    wt: 1:   Chapter 16. Velocity Approximation
  743.    wt: 1:   Chapter 15. Slope Approximation
  744.    wt: 1:   Chapter 13. Acceleration
  745.    wt: 1:   Chapter 11. Graphing Slope versus Position
  746.    wt: 1:   Chapter 8. Slope Interpretation
  747.    wt: 1:   Chapter 5. Slope Sign Tests
  748.    wt: 1:   Chapter 4. More Slope Sign Analysis
  749.    wt: 1:   Chapter 3. Slope Sign Analysis
  750.    wt: 1:   Chapter 1.Introduction
  751.    wt: 1:   Foreword
  752.    wt: 1:   Appendix E. How To Study Mathematics and Why
  753.    wt: 1:   Appendix D. What to do in School and Why
  754.    wt: 1:   Chapter 31 Direct and Indirect Reason
  755.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  756.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  757.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  758.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  759.    wt: 1:   Chapter 20. Degrees and Radians
  760.    wt: 1:   Chapter 19. Functions and Sets
  761.    wt: 1:   Chapter 12. Shorthand Usage Guide
  762.    wt: 1:   Chapter 11. Why Shorthand
  763.    wt: 1:   Chapter 10 Describing and Changing Calculations
  764.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  765.    wt: 1:   Chapter 6 Change of Language
  766.    wt: 1:   Chapter 4 Longer Chains of Reason
  767.    wt: 1:   Chapter 3 Chains of Reason
  768.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  769.    wt: 1:   Chapter 7 Two Treatments of Geometry
  770.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  771.    wt: 1:   Chapter 2 For and Against Mathematics
  772.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  773.    wt: 1:   Postscript B More on Story Telling and Reason
  774.    wt: 1:   Chapter 24 Direct and Indirect Reason
  775.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  776.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  777.    wt: 1:   Chapter 18 Sense and Knowledge
  778.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  779.    wt: 1:   Chapter 8 Change of Language
  780.    wt: 1:   Chapter 7 Longer Chains of Reason
  781.    wt: 1:   Chapter 6 Chains of Reason
  782.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  783.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  784.    wt: 1:   S Adding words to algebra
  785.    wt: 1:   R Why Learn Mathematics Skills
  786.    wt: 1:   N Mathematics Prepare for College Studies
  787.    wt: 1:   M Words to extend arithmetic
  788.    wt: 1:   L Skills with take home value
  789.    wt: 1:   H more Routine to non routine problem solving
  790.    wt: 1:   F. The student teacher tutor feedback loop
  791.    wt: 1:   D. Check work a must with a caution
  792.    wt: 1:   A. Skill has to be seen to believed
  793.    wt: 1:   Chapter 8 Skipped Topics and Why
  794.    wt: 1:   Chapter 6 More Algebra and Geometry
  795.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  796.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  797.    wt: 1:   Helping the Blind in Logic and Mathematics
  798.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  799.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  800.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  801.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  802.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  803.    wt: 1:   The Math Forum and Site Content
  804.    wt: 10:   38 Formulas and derivatives for powers and roots
  805.    wt: 10:   17 Derivatives of quotients of sine and cosine
  806.    wt: 10:   16 Derivatives of reciprocals of sine and cosine

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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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