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

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

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

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

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

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

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

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66 matches:

  1.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 4:   5 What is Similarity/
  3.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 4:   5 Integers/
  5.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  6.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 3:   12 Function Translating and Rescaling/
  8.    wt: 3:   11 Parallel Straight Lines and Transversals/
  9.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  10.    wt: 3:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 3:   4 Lines and Slopes Take 1/
  12.    wt: 3:   3 Cartesian and Polar Coordinates/
  13.    wt: 3:   A Origins of Counting and Figuring Methods/
  14.    wt: 3:   10 Examples of Algebraic Reasoning/
  15.    wt: 3:   9 Proportionality Backwards and Forwards/
  16.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  18.    wt: 3:   5 Real Numbers/
  19.    wt: 3:   4 Computation Rules and Function Notation/
  20.    wt: 3:   Step 1 Stick diagram and fractions/
  21.    wt: 3:   11 Squares and Square Roots/
  22.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 3:   9 Combinatorics Trees Tables and Products/
  24.    wt: 3:   7 Arithmetic and Fractions with Units/
  25.    wt: 3:   6 Fractions and Ratios/
  26.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  28.    wt: 3:   A Decimal Counting and Adding Methods/
  29.    wt: 3:   Mathematics 506 Lessons/
  30.    wt: 2:   4 Functions/
  31.    wt: 2:   3 Quadratics Geometrically/
  32.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  33.    wt: 2:   1 Five Polynomial Operations/
  34.    wt: 2:   13 Vectors/
  35.    wt: 2:   8 Unit Circle Trigonometry/
  36.    wt: 2:   7 Complex Numbers/
  37.    wt: 2:   6 Trigonometry first steps/
  38.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  39.    wt: 2:   1 Maps Plans Measurement/
  40.    wt: 2:   Geometry maps plans trigonometry vectors/
  41.    wt: 2:   8 Unifying Theme For Algebra/
  42.    wt: 2:   Step 4 Gaussian Elimination/
  43.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  44.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  45.    wt: 2:   3 Solving Linear Equations/
  46.    wt: 2:   2 Formula Forward Use Evaluation/
  47.    wt: 2:   1 Working With Sets/
  48.    wt: 2:   8 Arithmetic with Signed Numbers/
  49.    wt: 2:   3 Prime Factorization Skills/
  50.    wt: 2:   D Decimal Long Division Methods/
  51.    wt: 2:   C Decimal Multiplication Methods/
  52.    wt: 2:   2 Arithmetic with Decimals/
  53.    wt: 2:   1 Decimal Place Value/
  54.    wt: 2:   Arithmetic and Number Theory Skills/
  55.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  56.    wt: 2:   Resources and Reciprocal Links/
  57.    wt: 1:   More Algebra/
  58.    wt: 1:   B Real Numbers Extrinsic Development/
  59.    wt: 1:   Algebra Starter Lessons/
  60.    wt: 1:   Time Date Matters/
  61.    wt: 1:   Skills with take home value/
  62.    wt: 1:   5 Lessons on Integration/
  63.    wt: 1:   13 Lessons on Limits and Continuity/
  64.    wt: 1:   Volume 1 Elements of Reason/
  65.    wt: 1:   Work and Study Tips/
  66.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

483 matches:

  1.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  2.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  3.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  5.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  6.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  7.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  8.    wt: 3:   27 Logarithmic use of products of sines and cosines
  9.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 3:   5 An Easy Proof of the Distributive Law
  11.    wt: 3:   5 Similarity of Circles Squares and Rectangles
  12.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  13.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  14.    wt: 3:   5 lengths and signs of numbers
  15.    wt: 3:   17 Derivatives of quotients of sine and cosine
  16.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  17.    wt: 3:   5 Jumps and absence of unlimited error control
  18.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  19.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  20.    wt: 2:   5 logarithms and exponentials etc
  21.    wt: 2:   Theory of Knowledge
  22.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  23.    wt: 2:   5 Patience Please for Yourself and Your Charges
  24.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  25.    wt: 2:   15 Sign analysis of functions
  26.    wt: 2:   8 Set view of relations and functions
  27.    wt: 2:   15 cosecant function Definition Graph and Inverse
  28.    wt: 2:   15 Dot and Cross Product
  29.    wt: 2:   4 Resultant of a Sum of Movements
  30.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  31.    wt: 2:   26 Formulas for products of sines and cosines
  32.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  33.    wt: 2:   14 cosine even and sine and tangent are odd
  34.    wt: 2:   10 Graphs of sines and cosines many periods
  35.    wt: 2:   9 Graphs of sine and cosine over one period
  36.    wt: 2:   7 period of sine and cosine
  37.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  38.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  39.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  40.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  41.    wt: 2:   8 Similarity of Triangles and Polygons
  42.    wt: 2:   10 Midpoint of [a b] and [b a]
  43.    wt: 2:   5 Algebraic View of Slopes
  44.    wt: 2:   1 Numerical view of lines and their equations
  45.    wt: 2:   5 Cartesian Addition and Translation
  46.    wt: 2:   3 Lengths and Areas on Maps and Plans
  47.    wt: 2:   21 Addition of Multiples of a Single Vector
  48.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  49.    wt: 2:   8 Division and Mulplication of Compound Fractions
  50.    wt: 2:   5 Areas of Rectangles Revisited
  51.    wt: 2:   2 More and Less Than for Counts and Measures
  52.    wt: 2:   5 Talking about Numbers and Quantities
  53.    wt: 2:   4 A Brief Story of numbers and algebra
  54.    wt: 2:   1 More and Less Than for Counts and Measures
  55.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  56.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  57.    wt: 2:   5 Common Divisors 60 45 via Prime
  58.    wt: 2:   4 LCM of 8 and 10 via Prime
  59.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  60.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  61.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  62.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  63.    wt: 2:   5 Zero Movement and Additive Inverses
  64.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  65.    wt: 2:   5 Remainder Arithmetic Modulo 5
  66.    wt: 2:   15 video Factors of 20 using Prime Factorization
  67.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  68.    wt: 2:   5 Prime Factorization and a Square Rule
  69.    wt: 2:   1 Why 3 times 5 gives 15
  70.    wt: 2:   6. Counting and adding units and mixed units
  71.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  72.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  73.    wt: 2:   Quick history of numbers and algebra
  74.    wt: 2:   015 School and work day counting tables
  75.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  76.    wt: 2:   4 Mixing and Changing Units of Time
  77.    wt: 2:   3 Units and Lengths of Time
  78.    wt: 2:   38 Formulas and derivatives for powers and roots
  79.    wt: 2:   15 sine and cosine derivatives 3rd step
  80.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  81.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  82.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  83.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  84.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  85.    wt: 2:   Chapter 18 Sense and Knowledge
  86.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  87.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  88.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  89.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  90.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  91.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  92.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  93.    wt: 1:   Appendix 1 primary and preschool mathematic
  94.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  95.    wt: 1:   Skills Chapter 5 Calculus
  96.    wt: 1:   7 logic review and decimals an odd combination
  97.    wt: 1:   key notes and themes
  98.    wt: 1:   Mathematics Education Professors
  99.    wt: 1:   what should be learnt and When
  100.    wt: 1:   05 13 OldSiteEntrancePage
  101.    wt: 1:   04 25 when to stop or suspend mathemat
  102.    wt: 1:   standards for course material
  103.    wt: 1:   Education in mathematics science and technology
  104.    wt: 1:   Different Kinds of Reasoning in maths
  105.    wt: 1:   three kinds of reason in mathematics
  106.    wt: 1:   Motivation and Context Problem
  107.    wt: 1:   fairness and inductive principles for instruction
  108.    wt: 1:   chapitre 05 00 Deception
  109.    wt: 1:   chapitre 04 05 Implication versus suggestion
  110.    wt: 1:   E Energy Power05
  111.    wt: 1:   E Kirchoffs Second Law
  112.    wt: 1:   D Kirchoff First Law
  113.    wt: 1:   Home Tutoring and Home Schooling
  114.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  115.    wt: 1:   24 Standards For Skill Develoment Take II
  116.    wt: 1:   24 Standards For Skill Develoment
  117.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  118.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  119.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  120.    wt: 1:   17 Math Booklets for children and young teenagers
  121.    wt: 1:   15 Counting For Parents
  122.    wt: 1:   14 Multiplication and Times Tables
  123.    wt: 1:   13 Addition and Addition Tables
  124.    wt: 1:   12 Goals and Objectives For Mathematics
  125.    wt: 1:   11 Help and Defend Your Child or Teens Education
  126.    wt: 1:   8 The Effect of Negative Remarks
  127.    wt: 1:   4 Learning Takes Time and Effort
  128.    wt: 1:   2 Reading and Writing Skills
  129.    wt: 1:   Ages 4 plus to 5 plus
  130.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  131.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  132.    wt: 1:   26 Function definitions done and coming
  133.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  134.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  135.    wt: 1:   19 Horizontal line rule and method
  136.    wt: 1:   18 Vertical Line Rule and Method
  137.    wt: 1:   17 Function maxima minima and their location
  138.    wt: 1:   11 Function Domain Range Source and Targets
  139.    wt: 1:   6 Set Existence Formation and Notation
  140.    wt: 1:   5 Function notation for geometric transformations
  141.    wt: 1:   4 Function notation in and beyond mathematics
  142.    wt: 1:   2 Algebraic use of function notation
  143.    wt: 1:   1 Geometric Introduction of Function Notation
  144.    wt: 1:   9 quadratics physical and further context
  145.    wt: 1:   8 quadratics backward use of various formulas
  146.    wt: 1:   5 quadratics completing the square
  147.    wt: 1:   4 quadratics difference of two squares
  148.    wt: 1:   11 Growth and Decay in Biology
  149.    wt: 1:   10 Exponential Growth and Decay Models
  150.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  151.    wt: 1:   5 Natural Logarithm Calculator Exercises
  152.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  153.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  154.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  155.    wt: 1:   16 cotangent function Definition Graph and Inverse
  156.    wt: 1:   14 secant function Definition Graph and Inverse
  157.    wt: 1:   13 cosecant function Definition Graph and Inverse
  158.    wt: 1:   11 arctan left inverse of tangent Graph
  159.    wt: 1:   10 arctan left inverse of tangent Definition
  160.    wt: 1:   8 arcsin left inverse of sine Graph
  161.    wt: 1:   7 arcsin left inverse of sine Definition
  162.    wt: 1:   6 Graph of arccos function
  163.    wt: 1:   5 Swapping Coordinates is a reflection
  164.    wt: 1:   3 Left Inverse of cosine arccos definition
  165.    wt: 1:   9 Summary Degrees to Radians and back
  166.    wt: 1:   8 Radian Measures of Common Angles
  167.    wt: 1:   5 Degrees to Radian Measure
  168.    wt: 1:   2 Radian Measure Numerical Value of one degree
  169.    wt: 1:   1 Degrees and Radians Introduction
  170.    wt: 1:   A Global Time and Navigation
  171.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  172.    wt: 1:   5 Head To Tail Arrow Addition
  173.    wt: 1:   Vector and Complex Number Applet
  174.    wt: 1:   Parallel Lines and Parallel Transversals
  175.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  176.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  177.    wt: 1:   Parallel Lines and Interior Angles
  178.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  179.    wt: 1:   Straight Lines Intersection of
  180.    wt: 1:   5 Tangent Function Graph
  181.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  182.    wt: 1:   32 seven rows of pascals triangle
  183.    wt: 1:   30 unit circle calculation of six trigonometric functions
  184.    wt: 1:   29 secant cosecant and cotangent for acute angles
  185.    wt: 1:   28 Expressing products of sines cosines as sums
  186.    wt: 1:   25 tangent double angle formula Slope connection
  187.    wt: 1:   21 sine and cosine Half Angle Formulas
  188.    wt: 1:   20 sine and cosine Double Angle Formulas
  189.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  190.    wt: 1:   18 sum of sinusoidal waves as a single wave
  191.    wt: 1:   17F Law of cosines
  192.    wt: 1:   17E Trig Formulas for dot and cross Products
  193.    wt: 1:   17D cis formulas for sine cosines and tangent
  194.    wt: 1:   17C sine and cosine double triple angle formulas
  195.    wt: 1:   15 sine cosine Complementary Angle Relations
  196.    wt: 1:   13 Graph of tangent function many periods
  197.    wt: 1:   12 Graph of tangent function for one period
  198.    wt: 1:   8 period of tangent function
  199.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  200.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  201.    wt: 1:   Unit Circle Development of Trigonometry
  202.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  203.    wt: 1:   21 Logarithms Powers and Exponentials
  204.    wt: 1:   20 N th Roots of Complex Numbers
  205.    wt: 1:   19 N th Roots of Unity
  206.    wt: 1:   18 Sixth Roots of Unity
  207.    wt: 1:   17 Cube Roots of unity
  208.    wt: 1:   16 References and Originality Question
  209.    wt: 1:   15 Pythagorean Theorem Converse
  210.    wt: 1:   14 Law of cosines
  211.    wt: 1:   13 Trig Formulas for dot and cross Products
  212.    wt: 1:   12 cis formulas for sine cosines and tangent
  213.    wt: 1:   11 sine and cosine double triple angle formulas
  214.    wt: 1:   8 Unit Circle Development of Trigonometry
  215.    wt: 1:   6 Field Properties of Complex Number
  216.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  217.    wt: 1:   3 Trigonometric Ratios sine and cosine
  218.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  219.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  220.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  221.    wt: 1:   9 Similarity of Triangles Usual Criteria
  222.    wt: 1:   1 Early Concept of Like or Similar Shapes
  223.    wt: 1:   7 Exercises to test skill and concept mastery
  224.    wt: 1:   6 Intersection of lines by solving linear systems
  225.    wt: 1:   What is and is not here
  226.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  227.    wt: 1:   6 Polar Multiplication and Rotation
  228.    wt: 1:   4 Polar Coordinates to and from
  229.    wt: 1:   17 Right Bisectors of Triangle Sides
  230.    wt: 1:   16 Angles Subtended By Chords and Diameters
  231.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  232.    wt: 1:   9 Construction of a right bisector
  233.    wt: 1:   6 Ruler and compass Angle Bisection
  234.    wt: 1:   5 Side Angle Side
  235.    wt: 1:   3 Isometry of Triangles Congruence
  236.    wt: 1:   1 Initial Concepts and Terms
  237.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  238.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  239.    wt: 1:   A Modular and Remainder Arithmetic
  240.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  241.    wt: 1:   22 Multiplication of Signed Numbers
  242.    wt: 1:   19 Signed Multiples of Vectors
  243.    wt: 1:   15 Head to Tails in place Addition Associative
  244.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  245.    wt: 1:   13 Arrows and Vectors in a Plane
  246.    wt: 1:   11 Signed Number Addition and Addition Properties
  247.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  248.    wt: 1:   4 Location of Point in Decimal Addition
  249.    wt: 1:   3 Location of Point in Decimal Multiplication
  250.    wt: 1:   B Decimal Comparison and Subtraction
  251.    wt: 1:   5 Distributive Law for Whole Numbers
  252.    wt: 1:   2 Combing Counts Addition Skills and Principles
  253.    wt: 1:   1 The Counting Origins of Numbers
  254.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  255.    wt: 1:   5 Proportionality in Equivalent Fractions
  256.    wt: 1:   4 Rates Ratios and Proporitionality
  257.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  258.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  259.    wt: 1:   6 Compound Interest Forward and Backwards
  260.    wt: 1:   5 Triangle Area Formula Backwards
  261.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  262.    wt: 1:   6 Equations and Systems Equivalent or Implied
  263.    wt: 1:   5 Equality in Algebra
  264.    wt: 1:   4 Subtraction and Division Axioms
  265.    wt: 1:   2 Addition and Multiplication Axioms
  266.    wt: 1:   5 Greater More Less Than Signs in General
  267.    wt: 1:   4 Comparison of Negative Numbers
  268.    wt: 1:   3 More and Less Than with Unlike Signs
  269.    wt: 1:   15 Real Number Division
  270.    wt: 1:   10 Real Number Lengths and Signs
  271.    wt: 1:   8 Coordinates for Maps and Planes
  272.    wt: 1:   5 Rational Numbers More
  273.    wt: 1:   1 Whole and Natural Numbers
  274.    wt: 1:   5 Independent versus Dependent Variables
  275.    wt: 1:   3 Geometric Formulas and Function Notation
  276.    wt: 1:   1 Formulas Dependence and Function Notation
  277.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  278.    wt: 1:   3 GE III Equation Addition and Multiplication
  279.    wt: 1:   5 Algebraic Solutions Introduction
  280.    wt: 1:   5 Three Examples
  281.    wt: 1:   11 Volume of Sphere
  282.    wt: 1:   10 Volume of Pyramid
  283.    wt: 1:   9 Volume of Cone
  284.    wt: 1:   5 Box Volume Formula Example
  285.    wt: 1:   1 Written work formats for developing and showing skill
  286.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  287.    wt: 1:   9 Sets in Probability and Statistics
  288.    wt: 1:   8 Sets of Numbers
  289.    wt: 1:   5 Product Builder Notation
  290.    wt: 1:   6 Three Notions of What is a Variable
  291.    wt: 1:   3 Comparison of Negative Numbers
  292.    wt: 1:   2 More and Less Than with Unlike Signs
  293.    wt: 1:   5 Square Roots with primes more still
  294.    wt: 1:   3 Properties of Square Roots with example
  295.    wt: 1:   1 Squares and Square Roots Introduction
  296.    wt: 1:   7 GCD and LCM from prime factorization
  297.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  298.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  299.    wt: 1:   3 Counting with Tables and Trees II
  300.    wt: 1:   2 Counting with Tables and Trees I
  301.    wt: 1:   1 Counting and Counting Methods I
  302.    wt: 1:   11 What are real lengths and numbers
  303.    wt: 1:   7 negative and additive inverse
  304.    wt: 1:   3 signed coordinates for maps and planes
  305.    wt: 1:   2 signed and unsigned numbers as coordinates
  306.    wt: 1:   6 Simplification of Fractions with Units
  307.    wt: 1:   3 Multiplying Units and Numbers
  308.    wt: 1:   2 Equality and Units
  309.    wt: 1:   1 Addition and Subtraction with Units
  310.    wt: 1:   B Fractions and Two Term Ratios
  311.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  312.    wt: 1:   21 Reciprocals for Fractions and Wholes
  313.    wt: 1:   17 Efficient Ways to Add and Subtract
  314.    wt: 1:   14 Adding and Subtracting with Like Denominators
  315.    wt: 1:   9 Improper Fractions and Mixed Numbers
  316.    wt: 1:   6 Multiplication of Mixed Numbers
  317.    wt: 1:   5 Equivalent Fractions
  318.    wt: 1:   3 Unit fraction of a fraction
  319.    wt: 1:   11 Adding Integers Formulas and Examples
  320.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  321.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  322.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  323.    wt: 1:   26 Divisibility by 2 3 5 Example
  324.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  325.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  326.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  327.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  328.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  329.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  330.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  331.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  332.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  333.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  334.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  335.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  336.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  337.    wt: 1:   20 Uniqueness of Prime Factorization
  338.    wt: 1:   17 Identify and Count Factors using Primes
  339.    wt: 1:   16 video Factors of 980 using prime
  340.    wt: 1:   14 video Factors of 24 Take II
  341.    wt: 1:   13 video Factors of 24 using prime
  342.    wt: 1:   12 LCD GCD and LCM using Primes
  343.    wt: 1:   7 Calculator Usage Notes and Cautions
  344.    wt: 1:   3 video Primes and Composites from 9 times table
  345.    wt: 1:   2 Prime and Composites less than 16
  346.    wt: 1:   Division with Counts and Length
  347.    wt: 1:   Long Division forwards and backwards Example 3
  348.    wt: 1:   Long Division forwards and backwards Example 2
  349.    wt: 1:   Long Division forwards and backwards Example 1
  350.    wt: 1:   10 Division by Five Long and Short Ways
  351.    wt: 1:   5 Long Division Include Zeroes or not
  352.    wt: 1:   C Counting Areas with Powers of Ten
  353.    wt: 1:   B Powers of Ten
  354.    wt: 1:   5 Decimal Fraction Multiplication
  355.    wt: 1:   4 Two and Three Digit Multipliers
  356.    wt: 1:   8 Subtraction with Units of Measure
  357.    wt: 1:   5 A Tip for Efficent Subtraction
  358.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  359.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  360.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  361.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  362.    wt: 1:   8 What skills and work habits to require
  363.    wt: 1:   5. How to add decimals C. Examples
  364.    wt: 1:   11 Place Value SI Standard International way
  365.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  366.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  367.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  368.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  369.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  370.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  371.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  372.    wt: 1:   Exact Arithmetic Wholes and Fractions
  373.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  374.    wt: 1:   012 Division of Time Intervals by Time Intervals
  375.    wt: 1:   011 Division of Time Intervals By Numbers
  376.    wt: 1:   010 Repeated Addition of Time Intervals
  377.    wt: 1:   8 Addition of Time Intervals via subtotaling
  378.    wt: 1:   7 Addition of Time Intervals
  379.    wt: 1:   5 Conversion Arithmetic
  380.    wt: 1:   2 Time and Date Matters in School
  381.    wt: 1:   1 Intro of Kids To Time Date Skills
  382.    wt: 1:   Example 2 volume of a cone
  383.    wt: 1:   Example 1 volume of a pyramid
  384.    wt: 1:   Volume of Solid by Cross Sections Lesson
  385.    wt: 1:   Example 1. Area Between x and x squared
  386.    wt: 1:   Example 4 with x function of y
  387.    wt: 1:   5 Area Under Curve Exercise
  388.    wt: 1:   34 Derivative of exponential function
  389.    wt: 1:   31 Derivatives of inverse functions
  390.    wt: 1:   30Chain Rule A Proof
  391.    wt: 1:   28 Chain Rule Preparation for a Proof
  392.    wt: 1:   25 Chain Rule Animated Examples Continued
  393.    wt: 1:   14 sine and cosine derivatives 2nd step
  394.    wt: 1:   13 sine and cosine derivatives 1st step
  395.    wt: 1:   8 Differentiation of polynomials
  396.    wt: 1:   5 Product Rule
  397.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  398.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  399.    wt: 1:   9 Limits Continuity and Composition
  400.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  401.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  402.    wt: 1:   G.5 Motions With Bounded Velocities
  403.    wt: 1:   G.3 Constant Difference Theorem Proof
  404.    wt: 1:   F.5b Extreme Value Theorem
  405.    wt: 1:   F.5a Equicontinuity Theorems
  406.    wt: 1:   E2 Algebraic Properties of Limits
  407.    wt: 1:   D2 Limits of Monotone Sequences
  408.    wt: 1:   PostScript For and Against Decimal Perspectives
  409.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  410.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  411.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  412.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  413.    wt: 1:   Chapter 15. Slope Approximation
  414.    wt: 1:   Chapter 12. Units and Slopes
  415.    wt: 1:   Chapter 10 Slopes and Units
  416.    wt: 1:   Chapter 7 Slopes and Velocity
  417.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  418.    wt: 1:   Chapter 5. Slope Sign Tests
  419.    wt: 1:   Chapter 2. Slopes and Ski Trails
  420.    wt: 1:   Appendix E. How To Study Mathematics and Why
  421.    wt: 1:   Appendix D. What to do in School and Why
  422.    wt: 1:   Chapter 31 Direct and Indirect Reason
  423.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  424.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  425.    wt: 1:   Chapter 25. Mathematical Induction Examples
  426.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  427.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  428.    wt: 1:   Chapter 20. Degrees and Radians
  429.    wt: 1:   Chapter 19. Functions and Sets
  430.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  431.    wt: 1:   Chapter 15. Solving Linear Equations
  432.    wt: 1:   Chapter 12. Shorthand Usage Guide
  433.    wt: 1:   Chapter 11. Why Shorthand
  434.    wt: 1:   Chapter 10 Describing and Changing Calculations
  435.    wt: 1:   Chapter 6 Change of Language
  436.    wt: 1:   Chapter 4 Longer Chains of Reason
  437.    wt: 1:   Chapter 3 Chains of Reason
  438.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  439.    wt: 1:   Chapter 7 Two Treatments of Geometry
  440.    wt: 1:   Chapter 5 Four References
  441.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  442.    wt: 1:   Chapter 2 For and Against Mathematics
  443.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  444.    wt: 1:   Postscript B More on Story Telling and Reason
  445.    wt: 1:   Chapter 24 Direct and Indirect Reason
  446.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  447.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  448.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  449.    wt: 1:   Chapter 15 Objective Processes
  450.    wt: 1:   Chapter 8 Change of Language
  451.    wt: 1:   Chapter 7 Longer Chains of Reason
  452.    wt: 1:   Chapter 6 Chains of Reason
  453.    wt: 1:   Chapter 5 Deception
  454.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  455.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  456.    wt: 1:   O On Learning Mathematics and Science
  457.    wt: 1:   N Improving Marks on Tests and Finals
  458.    wt: 1:   J. More on written work and showing skill
  459.    wt: 1:   I. Logic and language skills
  460.    wt: 1:   H Jigsaw puzzles and problem solving
  461.    wt: 1:   G. Written work formats for developing and showing skill
  462.    wt: 1:   E. When and how to correct errors
  463.    wt: 1:   C. Domino effect of being careful
  464.    wt: 1:   B. Domino effect of errors
  465.    wt: 1:   How to Build Skills and Confidence
  466.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  467.    wt: 1:   Chapter 8 Skipped Topics and Why
  468.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  469.    wt: 1:   Chapter 6 More Algebra and Geometry
  470.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  471.    wt: 1:   7 Games and Activities for Instruction
  472.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  473.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  474.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  475.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  476.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  477.    wt: 1:   Helping the Blind in Logic and Mathematics
  478.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  479.    wt: 1:   More Algebra and Slope based Calculus Preview
  480.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  481.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  482.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  483.    wt: 1:   The Math Forum and Site Content

Extended Search

919 matches:

  1.    wt: 8:   5 Similarity of Circles Squares and Rectangles
  2.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  3.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  4.    wt: 7:   5 Zero Movement and Additive Inverses
  5.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  6.    wt: 6:   15 cosecant function Definition Graph and Inverse
  7.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  8.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  10.    wt: 6:   5 An Easy Proof of the Distributive Law
  11.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  12.    wt: 6:   8 Similarity of Triangles and Polygons
  13.    wt: 6:   5 Algebraic View of Slopes
  14.    wt: 6:   5 Cartesian Addition and Translation
  15.    wt: 6:   1 More and Less Than for Counts and Measures
  16.    wt: 6:   17 GCD LCM of 85 and 60 via Prime
  17.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  18.    wt: 6:   5 Common Divisors 60 45 via Prime
  19.    wt: 6:   5 lengths and signs of numbers
  20.    wt: 6:   5 Reciprocals and Division for Fractions with Units
  21.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  22.    wt: 5:   15 Sign analysis of functions
  23.    wt: 5:   16 cotangent function Definition Graph and Inverse
  24.    wt: 5:   14 secant function Definition Graph and Inverse
  25.    wt: 5:   13 cosecant function Definition Graph and Inverse
  26.    wt: 5:   11 arctan left inverse of tangent Graph
  27.    wt: 5:   10 arctan left inverse of tangent Definition
  28.    wt: 5:   8 arcsin left inverse of sine Graph
  29.    wt: 5:   7 arcsin left inverse of sine Definition
  30.    wt: 5:   6 Graph of arccos function
  31.    wt: 5:   5 Swapping Coordinates is a reflection
  32.    wt: 5:   3 Left Inverse of cosine arccos definition
  33.    wt: 5:   15 Dot and Cross Product
  34.    wt: 5:   Parallel Lines and Parallel Transversals
  35.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  36.    wt: 5:   Parallel Lines and Interior Angles
  37.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  38.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 5:   27 Logarithmic use of products of sines and cosines
  41.    wt: 5:   26 Formulas for products of sines and cosines
  42.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  43.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  44.    wt: 5:   9 Similarity of Triangles Usual Criteria
  45.    wt: 5:   7 Translations Rotations Reflections Dilatations
  46.    wt: 5:   1 Early Concept of Like or Similar Shapes
  47.    wt: 5:   10 Midpoint of [a b] and [b a]
  48.    wt: 5:   1 Numerical view of lines and their equations
  49.    wt: 5:   5 Distributive Law for Whole Numbers
  50.    wt: 5:   5 Areas of Rectangles Revisited
  51.    wt: 5:   5 Proportionality in Equivalent Fractions
  52.    wt: 5:   2 More and Less Than for Counts and Measures
  53.    wt: 5:   5 Three Examples
  54.    wt: 5:   3 Comparison of Negative Numbers
  55.    wt: 5:   2 More and Less Than with Unlike Signs
  56.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  57.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  58.    wt: 5:   4 LCM of 8 and 10 via Prime
  59.    wt: 5:   1 Counting and Counting Methods I
  60.    wt: 5:   6 Simplification of Fractions with Units
  61.    wt: 5:   3 Multiplying Units and Numbers
  62.    wt: 5:   2 Equality and Units
  63.    wt: 5:   1 Addition and Subtraction with Units
  64.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  65.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  66.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  67.    wt: 5:   5 Equivalent Fractions
  68.    wt: 5:   D Remainders Modulo 11 Pair Rule
  69.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  70.    wt: 5:   11 Adding Integers Formulas and Examples
  71.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  72.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  73.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  74.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  75.    wt: 5:   5 Remainder Arithmetic Modulo 5
  76.    wt: 5:   15 video Factors of 20 using Prime Factorization
  77.    wt: 5:   5 Prime Factorization and a Square Rule
  78.    wt: 5:   5 A Tip for Efficent Subtraction
  79.    wt: 5:   6. Counting and adding units and mixed units
  80.    wt: 5:   5. How to add decimals C. Examples
  81.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  82.    wt: 5:   5 Jumps and absence of unlimited error control
  83.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  84.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  85.    wt: 4:   8 Set view of relations and functions
  86.    wt: 4:   5 Function notation for geometric transformations
  87.    wt: 4:   5 Natural Logarithm Calculator Exercises
  88.    wt: 4:   12 motivation for term arctan
  89.    wt: 4:   9 motivation for name arcsin
  90.    wt: 4:   4 possible motivation for term arccos
  91.    wt: 4:   2 cosine function more properties
  92.    wt: 4:   1 cosine function properties
  93.    wt: 4:   9 Summary Degrees to Radians and back
  94.    wt: 4:   8 Radian Measures of Common Angles
  95.    wt: 4:   5 Degrees to Radian Measure
  96.    wt: 4:   2 Radian Measure Numerical Value of one degree
  97.    wt: 4:   1 Degrees and Radians Introduction
  98.    wt: 4:   4 Resultant of a Sum of Movements
  99.    wt: 4:   Triangle Angles Sum To 180 Degrees
  100.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  101.    wt: 4:   Straight Lines Intersection of
  102.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  103.    wt: 4:   C Straight Lines Slope from Coordinates
  104.    wt: 4:   B Straight Line Slope Scaling Properties More
  105.    wt: 4:   A Straight Line Slope Scaling Properties
  106.    wt: 4:   14 Straight Lines Equations General Case
  107.    wt: 4:   5 Tangent Function Graph
  108.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  109.    wt: 4:   17F Law of cosines
  110.    wt: 4:   17E Trig Formulas for dot and cross Products
  111.    wt: 4:   17D cis formulas for sine cosines and tangent
  112.    wt: 4:   17C sine and cosine double triple angle formulas
  113.    wt: 4:   14 cosine even and sine and tangent are odd
  114.    wt: 4:   10 Graphs of sines and cosines many periods
  115.    wt: 4:   9 Graphs of sine and cosine over one period
  116.    wt: 4:   8 period of tangent function
  117.    wt: 4:   7 period of sine and cosine
  118.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  119.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  120.    wt: 4:   Unit Circle Development of Trigonometry
  121.    wt: 4:   15 Pythagorean Theorem Converse
  122.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  123.    wt: 4:   12 Triangles Similarity More Problems
  124.    wt: 4:   11 Triangle Similarity Missing Side Problem
  125.    wt: 4:   6 Geometric Diagrams in Class
  126.    wt: 4:   4 Similarity Definition with Coordinate
  127.    wt: 4:   3 Similarity by Design with coordinates
  128.    wt: 4:   2 Similarity By Design
  129.    wt: 4:   7 Exercises to test skill and concept mastery
  130.    wt: 4:   6 Intersection of lines by solving linear systems
  131.    wt: 4:   What is and is not here
  132.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  133.    wt: 4:   6 Polar Multiplication and Rotation
  134.    wt: 4:   4 Polar Coordinates to and from
  135.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  136.    wt: 4:   5 Side Angle Side
  137.    wt: 4:   3 Lengths and Areas on Maps and Plans
  138.    wt: 4:   B Decimal Comparison and Subtraction
  139.    wt: 4:   2 Combing Counts Addition Skills and Principles
  140.    wt: 4:   1 The Counting Origins of Numbers
  141.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  142.    wt: 4:   4 Rates Ratios and Proporitionality
  143.    wt: 4:   6 Equations and Systems Equivalent or Implied
  144.    wt: 4:   5 Equality in Algebra
  145.    wt: 4:   4 Subtraction and Division Axioms
  146.    wt: 4:   2 Addition and Multiplication Axioms
  147.    wt: 4:   5 Greater More Less Than Signs in General
  148.    wt: 4:   4 Comparison of Negative Numbers
  149.    wt: 4:   3 More and Less Than with Unlike Signs
  150.    wt: 4:   15 Real Number Division
  151.    wt: 4:   10 Real Number Lengths and Signs
  152.    wt: 4:   8 Coordinates for Maps and Planes
  153.    wt: 4:   5 Rational Numbers More
  154.    wt: 4:   1 Whole and Natural Numbers
  155.    wt: 4:   5 Independent versus Dependent Variables
  156.    wt: 4:   3 Geometric Formulas and Function Notation
  157.    wt: 4:   1 Formulas Dependence and Function Notation
  158.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  159.    wt: 4:   5 Algebraic Solutions Introduction
  160.    wt: 4:   4 Greater More Less Than Signs in General
  161.    wt: 4:   5 Square Roots with primes more still
  162.    wt: 4:   3 Properties of Square Roots with example
  163.    wt: 4:   2 Square Roots with Prime
  164.    wt: 4:   1 Squares and Square Roots Introduction
  165.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  166.    wt: 4:   7 GCD and LCM from prime factorization
  167.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  168.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  169.    wt: 4:   3 Counting with Tables and Trees II
  170.    wt: 4:   2 Counting with Tables and Trees I
  171.    wt: 4:   7 Converting or Changing Units
  172.    wt: 4:   4 Fractions with Units
  173.    wt: 4:   B Fractions and Two Term Ratios
  174.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  175.    wt: 4:   21 Reciprocals for Fractions and Wholes
  176.    wt: 4:   17 Efficient Ways to Add and Subtract
  177.    wt: 4:   14 Adding and Subtracting with Like Denominators
  178.    wt: 4:   9 Improper Fractions and Mixed Numbers
  179.    wt: 4:   6 Multiplication of Mixed Numbers
  180.    wt: 4:   3 Unit fraction of a fraction
  181.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  182.    wt: 4:   B Integer Long Division Multiple Choices
  183.    wt: 4:   A Associative Law Theorectical Note
  184.    wt: 4:   13 Subtraction with Additive Inverse
  185.    wt: 4:   12 Adding Integers More Examples
  186.    wt: 4:   10 Integer Multiplication Formulas
  187.    wt: 4:   9 Multiplying Integers
  188.    wt: 4:   8 Multiplication by Signed Numbers Integers
  189.    wt: 4:   7 Multiplication by Signs
  190.    wt: 4:   6 Multiplication by Natural Numbers
  191.    wt: 4:   4 Adding Movements wiht opposite directions
  192.    wt: 4:   3 Adding Movements with same direction
  193.    wt: 4:   1 Integers as Coordinates
  194.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  195.    wt: 4:   26 Divisibility by 2 3 5 Example
  196.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  197.    wt: 4:   21 Remainder Arithmetic Modulo 3
  198.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  199.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  200.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  201.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  202.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  203.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  204.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  205.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  206.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  207.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  208.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  209.    wt: 4:   1 Remainder Arithmetic Modulo 10
  210.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  211.    wt: 4:   Division with Counts and Length
  212.    wt: 4:   5 Long Division Include Zeroes or not
  213.    wt: 4:   5 Decimal Fraction Multiplication
  214.    wt: 4:   1 Why 3 times 5 gives 15
  215.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  216.    wt: 4:   8 Subtraction with Units of Measure
  217.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  218.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  219.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  220.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  221.    wt: 4:   8 What skills and work habits to require
  222.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  223.    wt: 4:   Quick history of numbers and algebra
  224.    wt: 4:   Exact Arithmetic Wholes and Fractions
  225.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  226.    wt: 4:   Example 1 volume of a pyramid
  227.    wt: 4:   Example 1. Area Between x and x squared
  228.    wt: 4:   17 Derivatives of quotients of sine and cosine
  229.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  230.    wt: 3:   5 logarithms and exponentials etc
  231.    wt: 3:   Theory of Knowledge
  232.    wt: 3:   5 Patience Please for Yourself and Your Charges
  233.    wt: 3:   sign monoticity analysis example 4
  234.    wt: 3:   sign monoticity analysis example 3
  235.    wt: 3:   sign monoticity analysis example 2
  236.    wt: 3:   sign monoticity analysis example 1
  237.    wt: 3:   26 Function definitions done and coming
  238.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  239.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  240.    wt: 3:   19 Horizontal line rule and method
  241.    wt: 3:   18 Vertical Line Rule and Method
  242.    wt: 3:   17 Function maxima minima and their location
  243.    wt: 3:   11 Function Domain Range Source and Targets
  244.    wt: 3:   6 Set Existence Formation and Notation
  245.    wt: 3:   4 Function notation in and beyond mathematics
  246.    wt: 3:   2 Algebraic use of function notation
  247.    wt: 3:   1 Geometric Introduction of Function Notation
  248.    wt: 3:   A Quadratics Summary
  249.    wt: 3:   9 quadratics physical and further context
  250.    wt: 3:   8 quadratics backward use of various formulas
  251.    wt: 3:   5 quadratics completing the square
  252.    wt: 3:   4 quadratics difference of two squares
  253.    wt: 3:   11 Growth and Decay in Biology
  254.    wt: 3:   10 Exponential Growth and Decay Models
  255.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  256.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  257.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  258.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  259.    wt: 3:   7 Radian Measures in special Triangles
  260.    wt: 3:   6 Radian Measure to Degrees
  261.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  262.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  263.    wt: 3:   A Global Time and Navigation
  264.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  265.    wt: 3:   6 Vectors with Coordinates
  266.    wt: 3:   5 Head To Tail Arrow Addition
  267.    wt: 3:   Vector and Complex Number Applet
  268.    wt: 3:   4 graphing y=Asin(x c)
  269.    wt: 3:   3 graphing y=f(x c) plus K
  270.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  271.    wt: 3:   1 graphing y=f(x a)
  272.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  273.    wt: 3:   Straight Lines ASA Intersection Study More
  274.    wt: 3:   Straight Lines ASA Intersection Study
  275.    wt: 3:   Straight Lines Instersection Solving Equations
  276.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  277.    wt: 3:   12 Straight Lines Graphing mx plus b
  278.    wt: 3:   11 Straight Lines Graphing y=mx
  279.    wt: 3:   10 Straight Lines through Origin Equations More
  280.    wt: 3:   9 Straight Lines through Origin Equations
  281.    wt: 3:   8 Straight Lines Equation for vertical
  282.    wt: 3:   7 Tangent Function is odd on this domain
  283.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  284.    wt: 3:   4 Tangent Function Properties
  285.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  286.    wt: 3:   1 Straight Lines Slope Concept
  287.    wt: 3:   32 seven rows of pascals triangle
  288.    wt: 3:   30 unit circle calculation of six trigonometric functions
  289.    wt: 3:   29 secant cosecant and cotangent for acute angles
  290.    wt: 3:   28 Expressing products of sines cosines as sums
  291.    wt: 3:   25 tangent double angle formula Slope connection
  292.    wt: 3:   21 sine and cosine Half Angle Formulas
  293.    wt: 3:   20 sine and cosine Double Angle Formulas
  294.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  295.    wt: 3:   18 sum of sinusoidal waves as a single wave
  296.    wt: 3:   17G Pythagorean Theorem Converse
  297.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  298.    wt: 3:   17A The complex number valued trig function cis
  299.    wt: 3:   15 sine cosine Complementary Angle Relations
  300.    wt: 3:   13 Graph of tangent function many periods
  301.    wt: 3:   12 Graph of tangent function for one period
  302.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  303.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  304.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  305.    wt: 3:   21 Logarithms Powers and Exponentials
  306.    wt: 3:   20 N th Roots of Complex Numbers
  307.    wt: 3:   19 N th Roots of Unity
  308.    wt: 3:   18 Sixth Roots of Unity
  309.    wt: 3:   17 Cube Roots of unity
  310.    wt: 3:   16 References and Originality Question
  311.    wt: 3:   14 Law of cosines
  312.    wt: 3:   13 Trig Formulas for dot and cross Products
  313.    wt: 3:   12 cis formulas for sine cosines and tangent
  314.    wt: 3:   11 sine and cosine double triple angle formulas
  315.    wt: 3:   8 Unit Circle Development of Trigonometry
  316.    wt: 3:   6 Field Properties of Complex Number
  317.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  318.    wt: 3:   3 Trigonometric Ratios sine and cosine
  319.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  320.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  321.    wt: 3:   Four Simple Exercises
  322.    wt: 3:   12 Links Lessons elsewhere
  323.    wt: 3:   11 A Partial Summary
  324.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  325.    wt: 3:   8 Mid Point Formula
  326.    wt: 3:   4 Equations for lines three forms
  327.    wt: 3:   3 Slope product for perpendicular lines
  328.    wt: 3:   2 point slope equation for a line
  329.    wt: 3:   13 Pythagorean spatial distance formulas
  330.    wt: 3:   12 Spatial Coordinates
  331.    wt: 3:   11 Triangle Inequality
  332.    wt: 3:   10 Pythagorean plane distance formula
  333.    wt: 3:   8 Distance Between Points on a Line
  334.    wt: 3:   7 Complex Numbers Appetizer
  335.    wt: 3:   3 Rectangular Coordinates Review
  336.    wt: 3:   2 Cartesian Coordinates with signs
  337.    wt: 3:   1 Cartesian Coordinates sans signs
  338.    wt: 3:   PS E Multiplication with Polar Coordinates
  339.    wt: 3:   17 Right Bisectors of Triangle Sides
  340.    wt: 3:   16 Angles Subtended By Chords and Diameters
  341.    wt: 3:   9 Construction of a right bisector
  342.    wt: 3:   6 Ruler and compass Angle Bisection
  343.    wt: 3:   3 Isometry of Triangles Congruence
  344.    wt: 3:   1 Initial Concepts and Terms
  345.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  346.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  347.    wt: 3:   21 Addition of Multiples of a Single Vector
  348.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  349.    wt: 3:   8 Division and Mulplication of Compound Fractions
  350.    wt: 3:   E Long Division Methods more
  351.    wt: 3:   D Long Division Methods
  352.    wt: 3:   C Three Decimal Subtraction Methods
  353.    wt: 3:   A Decimal Addition Columm Methods
  354.    wt: 3:   8 Column Multiplication Methods in General
  355.    wt: 3:   7 Decimals Multiplication Methods Examples
  356.    wt: 3:   6 Column Methods for Decimal Multiplication
  357.    wt: 3:   4 Commutative Law Groups Counting Form
  358.    wt: 3:   3 Multiplicative Counting Skills Principles
  359.    wt: 3:   4 Fraction Operations Axiomatic Development
  360.    wt: 3:   3 Inequalities Algebraically
  361.    wt: 3:   2 Fraction Operations Physical Development
  362.    wt: 3:   3 Proportionality Examples
  363.    wt: 3:   2 Algebraic View
  364.    wt: 3:   1 What is Proportionality
  365.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  366.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  367.    wt: 3:   6 Compound Interest Forward and Backwards
  368.    wt: 3:   5 Triangle Area Formula Backwards
  369.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  370.    wt: 3:   3 Product Axioms Two Forms
  371.    wt: 3:   1 Equivalent Computation Rules
  372.    wt: 3:   1 Real Numbers Comparison
  373.    wt: 3:   16 Real Numbers Comparison
  374.    wt: 3:   14 Real Number Multiplication
  375.    wt: 3:   13 Real Number Subtraction
  376.    wt: 3:   12 Real Number Additive Inverses or Negatives
  377.    wt: 3:   11 Real Number Addition
  378.    wt: 3:   9 Coordinates for Regions in Space
  379.    wt: 3:   7 Real Numbers as Line Cordinates
  380.    wt: 3:   6 Unsigned Real Numbers
  381.    wt: 3:   4 Rational Numbers
  382.    wt: 3:   3 Fractions
  383.    wt: 3:   2 Integers
  384.    wt: 3:   4 Changing Letters
  385.    wt: 3:   2 Computation Rules Evaluation
  386.    wt: 3:   More Exercises
  387.    wt: 3:   3 GE III Equation Addition and Multiplication
  388.    wt: 3:   Skill Development Notes
  389.    wt: 3:   10 One Example
  390.    wt: 3:   9 Three Examples
  391.    wt: 3:   8 One Example
  392.    wt: 3:   7 Two Examples
  393.    wt: 3:   6 Three Examples
  394.    wt: 3:   4 Two Examples
  395.    wt: 3:   3 Two Examples
  396.    wt: 3:   2 Three Examples
  397.    wt: 3:   11 Volume of Sphere
  398.    wt: 3:   10 Volume of Pyramid
  399.    wt: 3:   9 Volume of Cone
  400.    wt: 3:   5 Box Volume Formula Example
  401.    wt: 3:   1 Written work formats for developing and showing skill
  402.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  403.    wt: 3:   9 Sets in Probability and Statistics
  404.    wt: 3:   8 Sets of Numbers
  405.    wt: 3:   5 Product Builder Notation
  406.    wt: 3:   5 Talking about Numbers and Quantities
  407.    wt: 3:   4 A Brief Story of numbers and algebra
  408.    wt: 3:   4 Square Roots with primes more
  409.    wt: 3:   13 GCD from given Prime Factorization
  410.    wt: 3:   8 GCD from Euclidean Algorithm
  411.    wt: 3:   6 GCD from Prime
  412.    wt: 3:   2 Least Common Multiple LCM intro via list method
  413.    wt: 3:   1 Least Common Multiples LCM Introduction
  414.    wt: 3:   12 GCD 2700 288 via Prime
  415.    wt: 3:   4 Counting with Trees Product Rule Take I
  416.    wt: 3:   11 What are real lengths and numbers
  417.    wt: 3:   7 negative and additive inverse
  418.    wt: 3:   3 signed coordinates for maps and planes
  419.    wt: 3:   2 signed and unsigned numbers as coordinates
  420.    wt: 3:   D Three Term Ratios
  421.    wt: 3:   22 Complex Compound Fractions
  422.    wt: 3:   21 Working With Signs
  423.    wt: 3:   20 Dividing Fractions the Why
  424.    wt: 3:   19 Dividing Fractions How TO
  425.    wt: 3:   18 Efficient Ways to Multiply
  426.    wt: 3:   16 Addition Subtraction Comparision Compared
  427.    wt: 3:   13 Fraction Comparison Algebraic View
  428.    wt: 3:   12 Fraction Comparison
  429.    wt: 3:   11 Simplification an Algebraic View
  430.    wt: 3:   8 Numerals Fractionals Quantals Take II
  431.    wt: 3:   7 Numerals Fractionals Quantals
  432.    wt: 3:   6 Multiplication Algebraically Take II
  433.    wt: 3:   4 Fraction Multiplication
  434.    wt: 3:   2 Unit Fraction Multiplication
  435.    wt: 3:   1 What is a fraction Take II
  436.    wt: 3:   1 What is a fraction
  437.    wt: 3:   23 Remainder Arithmetic Modulo 2
  438.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  439.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  440.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  441.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  442.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  443.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  444.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  445.    wt: 3:   20 Uniqueness of Prime Factorization
  446.    wt: 3:   17 Identify and Count Factors using Primes
  447.    wt: 3:   16 video Factors of 980 using prime
  448.    wt: 3:   14 video Factors of 24 Take II
  449.    wt: 3:   13 video Factors of 24 using prime
  450.    wt: 3:   12 LCD GCD and LCM using Primes
  451.    wt: 3:   7 Calculator Usage Notes and Cautions
  452.    wt: 3:   3 video Primes and Composites from 9 times table
  453.    wt: 3:   2 Prime and Composites less than 16
  454.    wt: 3:   Long Division forwards and backwards Example 3
  455.    wt: 3:   Long Division forwards and backwards Example 2
  456.    wt: 3:   Long Division forwards and backwards Example 1
  457.    wt: 3:   10 Division by Five Long and Short Ways
  458.    wt: 3:   C Counting Areas with Powers of Ten
  459.    wt: 3:   B Powers of Ten
  460.    wt: 3:   4 Two and Three Digit Multipliers
  461.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  462.    wt: 3:   Subtraction with J Conversions Example
  463.    wt: 3:   Subtraction Another Video Lesson
  464.    wt: 3:   9 22 Minute Subtraction Review Video
  465.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  466.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  467.    wt: 3:   2 Subtraction Easy Case Examples
  468.    wt: 3:   7 Adding decimal fractions using decimal point
  469.    wt: 3:   4. How to add with decimals B with conversions
  470.    wt: 3:   3. How to add with decimals A sans conversions
  471.    wt: 3:   2 Decimal Counting Practices
  472.    wt: 3:   1. Explaining Addition Table
  473.    wt: 3:   11 Place Value SI Standard International way
  474.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  475.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  476.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  477.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  478.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  479.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  480.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  481.    wt: 3:   015 School and work day counting tables
  482.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  483.    wt: 3:   4 Mixing and Changing Units of Time
  484.    wt: 3:   3 Units and Lengths of Time
  485.    wt: 3:   Example 2 volume of a cone
  486.    wt: 3:   Volume of Solid by Cross Sections Lesson
  487.    wt: 3:   Example 4 with x function of y
  488.    wt: 3:   15 sine and cosine derivatives 3rd step
  489.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  490.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  491.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  492.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  493.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  494.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  495.    wt: 3:   O On Learning Mathematics and Science
  496.    wt: 3:   E. When and how to correct errors
  497.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  498.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  499.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  500.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  501.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  502.    wt: 2:   Skills Chapter 5 Calculus
  503.    wt: 2:   site origins
  504.    wt: 2:   key notes and themes
  505.    wt: 2:   What to Tell Students
  506.    wt: 2:   E Energy Power05
  507.    wt: 2:   D Kirchoff First Law
  508.    wt: 2:   Home Tutoring and Home Schooling
  509.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  510.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  511.    wt: 2:   15 Counting For Parents
  512.    wt: 2:   23 Inverse Functions
  513.    wt: 2:   22 Square Root function graphically
  514.    wt: 2:   20 Interchanging coordinates a reflection
  515.    wt: 2:   16 Increasing or decreasing on intervals
  516.    wt: 2:   14 Surjections Injections Bijections
  517.    wt: 2:   13 From one to one to many to one
  518.    wt: 2:   12 Function Domain Recognition Exercises
  519.    wt: 2:   10 Interval Notation
  520.    wt: 2:   9 Set theory term relation possible origins
  521.    wt: 2:   7 Functions with finite domains
  522.    wt: 2:   3 Formula or function graphing exercise
  523.    wt: 2:   Introduction Reading Guide
  524.    wt: 2:   10 quadratic exercises
  525.    wt: 2:   7 quadratic formulla derivation
  526.    wt: 2:   6 quadratics numerical approach
  527.    wt: 2:   3 quadratics factoring by inspection
  528.    wt: 2:   2 quadratics graphing in general
  529.    wt: 2:   1 quadratics graphing exercises
  530.    wt: 2:   Quadratics in 10 steps
  531.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  532.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  533.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  534.    wt: 2:   2 Square Root Simplification a prequel
  535.    wt: 2:   1 Calculator Starter Exercises
  536.    wt: 2:   8 Notes for instructors or tutors
  537.    wt: 2:   7 Links Lessons Elsewhere
  538.    wt: 2:   4 Polynomials Long division linear divisor
  539.    wt: 2:   3 Polynomials Multiplication Addition
  540.    wt: 2:   2 Column Multiplication Method
  541.    wt: 2:   1 Polynomials Distributive Law
  542.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  543.    wt: 2:   13 Velocity Vectors in Physics
  544.    wt: 2:   12 From Applied To Pure Mathematics
  545.    wt: 2:   11 Component Method
  546.    wt: 2:   10 Parallelogram Addition Method
  547.    wt: 2:   9 Head to Tail Coordinate View
  548.    wt: 2:   8 Parallel Vectors
  549.    wt: 2:   3 Navigation with Arrows or Vectors
  550.    wt: 2:   2 Signed Coordinates
  551.    wt: 2:   1 Unsigned Coordinates
  552.    wt: 2:   17 tangent function angle sum formulas
  553.    wt: 2:   31 basic secant cosecant cotangent trig identities
  554.    wt: 2:   24 tangent Angle Difference Formula
  555.    wt: 2:   16 Right Triangle Complementary Angle Relations
  556.    wt: 2:   11 tangent function undefined when terminal side vertical
  557.    wt: 2:   2 Quadrant I reference Angles
  558.    wt: 2:   1 Unit Points Reflections Rotations
  559.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  560.    wt: 2:   9 The complex number valued trig function cis
  561.    wt: 2:   7 Second Way to Calculate Products
  562.    wt: 2:   4 Multiplication Properties
  563.    wt: 2:   3 Addition Properties
  564.    wt: 2:   2 Complex Numbers made easier we hope
  565.    wt: 2:   1 Rectangular Polar Coordinates Review
  566.    wt: 2:   Appetizer A Complex Number Applet
  567.    wt: 2:   8 Triangles Cascade Problem Solving
  568.    wt: 2:   7 Trignometric Ratios Unit Circle
  569.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  570.    wt: 2:   1 Angle Measurement with Degrees
  571.    wt: 2:   Why Trigonometry the whyslopes view
  572.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  573.    wt: 2:   PS H Distributive Law For Complex Numbers
  574.    wt: 2:   PS G Rotation Distributes over Addition
  575.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  576.    wt: 2:   PS D Addition with Cartesian Coordinates
  577.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  578.    wt: 2:   PS B Parallelogram Construction Methods
  579.    wt: 2:   PS A Kite Construction Methods
  580.    wt: 2:   21 Parallelograms
  581.    wt: 2:   19 Right Triangle Similarity
  582.    wt: 2:   18 Triangle Similarity Take 1
  583.    wt: 2:   14 Parallel Lines Postulate
  584.    wt: 2:   13 Angle Side Angle Failure
  585.    wt: 2:   12 Side Angle Side Failure
  586.    wt: 2:   11 Triangle Construction Fails
  587.    wt: 2:   10 Dropping a perpendicular to line
  588.    wt: 2:   8 Isoceles Triangles
  589.    wt: 2:   7 Angle Side Angle
  590.    wt: 2:   4 Side Side Side
  591.    wt: 2:   2 Correspondence between Triangles
  592.    wt: 2:   Short Course on Euclidean Geometry
  593.    wt: 2:   A Measurement with Ruler Proper Use
  594.    wt: 2:   6 Figuring with Maps Not to Scale
  595.    wt: 2:   4 Angles on Maps Plans drawn to scale
  596.    wt: 2:   2 Measuring Area Directly
  597.    wt: 2:   1 Length Measurement
  598.    wt: 2:   About Folder Contents
  599.    wt: 2:   A Modular and Remainder Arithmetic
  600.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  601.    wt: 2:   22 Multiplication of Signed Numbers
  602.    wt: 2:   19 Signed Multiples of Vectors
  603.    wt: 2:   15 Head to Tails in place Addition Associative
  604.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  605.    wt: 2:   13 Arrows and Vectors in a Plane
  606.    wt: 2:   11 Signed Number Addition and Addition Properties
  607.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  608.    wt: 2:   4 Location of Point in Decimal Addition
  609.    wt: 2:   3 Location of Point in Decimal Multiplication
  610.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  611.    wt: 2:   3 Linear Equation Literal Solution More
  612.    wt: 2:   2 Linear Equation Literal Solution
  613.    wt: 2:   1 Changing Calculations
  614.    wt: 2:   Simple Exercises
  615.    wt: 2:   4 GE III Animated Examples
  616.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  617.    wt: 2:   2 GE II Comparison
  618.    wt: 2:   1 GE Substitution four examples
  619.    wt: 2:   4 Solving a triangular system exercise
  620.    wt: 2:   3 Solving triangular system example
  621.    wt: 2:   2 Essentially one exercises three with solution
  622.    wt: 2:   1 Essentially One Unknown
  623.    wt: 2:   6 Algebraic Solution Example
  624.    wt: 2:   4 Four Examples Fractional Coefficients
  625.    wt: 2:   3 Four Examples
  626.    wt: 2:   2 Three Examples
  627.    wt: 2:   1 Proper Equal Sign Usage
  628.    wt: 2:   Using Letters for Physical Quantities
  629.    wt: 2:   Formula Usage Show Work Format
  630.    wt: 2:   13 Naming Identifying Formulas with Words
  631.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  632.    wt: 2:   8 Compound Interest Formula Evaluation
  633.    wt: 2:   7 Compound Interest Formula Introduction
  634.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  635.    wt: 2:   4 Circle Area Formula Example
  636.    wt: 2:   3 Triangle Area Formula Example
  637.    wt: 2:   2 Another Rectangle Area Formula Example
  638.    wt: 2:   7 Cautious or Safe Set Construction
  639.    wt: 2:   6 Power Set Notation
  640.    wt: 2:   4 Subset Builder Notation
  641.    wt: 2:   3 Counting with Sets etc
  642.    wt: 2:   2 Venn Diagrams
  643.    wt: 2:   1 Finite Sets
  644.    wt: 2:   6 Three Notions of What is a Variable
  645.    wt: 2:   arithmetic videos Real Player Format
  646.    wt: 2:   10 dividing signed numbers
  647.    wt: 2:   9 subtracting signed numbers
  648.    wt: 2:   8 multiplying signed numbers
  649.    wt: 2:   6 adding signed numbers
  650.    wt: 2:   4 signed coordinates for regions in space
  651.    wt: 2:   19 video Prime Factorization Unique
  652.    wt: 2:   18 video Count Factors given Prime Factorization
  653.    wt: 2:   11 Efficient Square Rule Use
  654.    wt: 2:   10 video Prime Factorization upto 23 squared
  655.    wt: 2:   9 video Prime Factorization upto 19 squared
  656.    wt: 2:   8 video Prime Factorization upto 19
  657.    wt: 2:   4 video Prime Factorization Introduction
  658.    wt: 2:   1 video how Products are bigger than factor
  659.    wt: 2:   Long Division Backwards more
  660.    wt: 2:   Long Division Backward
  661.    wt: 2:   12 Why Long Division Works Take III
  662.    wt: 2:   11 Another Single Digit Divisor Example
  663.    wt: 2:   9 Why Long Division Works Take II
  664.    wt: 2:   8 Correcting the Mistake
  665.    wt: 2:   7 Long Divison Mistake Catching
  666.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  667.    wt: 2:   4 Division with 2 Digit Divsors
  668.    wt: 2:   3 Division Single Digit Divisor Example
  669.    wt: 2:   2 Division with Single Digit Divisors
  670.    wt: 2:   1 Divsion Physical Examples
  671.    wt: 2:   D Decimal Multiplication Methods Derived
  672.    wt: 2:   A Elementary Basis for Multiplication Methods
  673.    wt: 2:   6 Multiplication Commutes Order Not Important
  674.    wt: 2:   3 More One Digit Multipliers
  675.    wt: 2:   2 One Digit Multipliers
  676.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  677.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  678.    wt: 2:   Video Power Notation in Decimal Expansion
  679.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  680.    wt: 2:   Formula Evaluation how to show work
  681.    wt: 2:   Expression Evaluation how to show work
  682.    wt: 2:   The 20 Times Table
  683.    wt: 2:   The 12 Times Table Visually
  684.    wt: 2:   About folder contents
  685.    wt: 2:   012 Division of Time Intervals by Time Intervals
  686.    wt: 2:   011 Division of Time Intervals By Numbers
  687.    wt: 2:   010 Repeated Addition of Time Intervals
  688.    wt: 2:   8 Addition of Time Intervals via subtotaling
  689.    wt: 2:   7 Addition of Time Intervals
  690.    wt: 2:   5 Conversion Arithmetic
  691.    wt: 2:   2 Time and Date Matters in School
  692.    wt: 2:   1 Intro of Kids To Time Date Skills
  693.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  694.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  695.    wt: 2:   Example 3
  696.    wt: 2:   Example 2
  697.    wt: 2:   Example 1
  698.    wt: 2:   Area Between Curves Lesson Take 2
  699.    wt: 2:   Area Between Curves Lesson Take 1
  700.    wt: 2:   Summary
  701.    wt: 2:   5 Area Under Curve Exercise
  702.    wt: 2:   3 Two Chain Rule Method Exercises
  703.    wt: 2:   38 Formulas and derivatives for powers and roots
  704.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  705.    wt: 2:   9 Limits Continuity and Composition
  706.    wt: 2:   3 Decimal insights for limits continuity convergence
  707.    wt: 2:   PostScript For and Against Decimal Perspectives
  708.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  709.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  710.    wt: 2:   Chapter 15. Slope Approximation
  711.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  712.    wt: 2:   Chapter 5. Slope Sign Tests
  713.    wt: 2:   Appendix E. How To Study Mathematics and Why
  714.    wt: 2:   Chapter 25. Mathematical Induction Examples
  715.    wt: 2:   Chapter 15. Solving Linear Equations
  716.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  717.    wt: 2:   Chapter 5 Four References
  718.    wt: 2:   Chapter 18 Sense and Knowledge
  719.    wt: 2:   Chapter 15 Objective Processes
  720.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  721.    wt: 2:   Chapter 5 Deception
  722.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  723.    wt: 2:   N Improving Marks on Tests and Finals
  724.    wt: 2:   J. More on written work and showing skill
  725.    wt: 2:   I. Logic and language skills
  726.    wt: 2:   H more Routine to non routine problem solving
  727.    wt: 2:   H Jigsaw puzzles and problem solving
  728.    wt: 2:   G. Written work formats for developing and showing skill
  729.    wt: 2:   C. Domino effect of being careful
  730.    wt: 2:   B. Domino effect of errors
  731.    wt: 2:   How to Build Skills and Confidence
  732.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  733.    wt: 2:   7 Games and Activities for Instruction
  734.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  735.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  736.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  737.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  738.    wt: 2:   Helping the Blind in Logic and Mathematics
  739.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  740.    wt: 2:   More Algebra and Slope based Calculus Preview
  741.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  742.    wt: 1:   Appendix 1 primary and preschool mathematic
  743.    wt: 1:   K LAMP Musings Science Education
  744.    wt: 1:   J LAMP Introduction Extrinsic Origins
  745.    wt: 1:   I LAMP Introduction Study Habits
  746.    wt: 1:   H LAMP Introduction Instructional Concepts
  747.    wt: 1:   G LAMP Introduction Problem Solving Skills
  748.    wt: 1:   F LAMP Introduction Prerequisites
  749.    wt: 1:   E LAMP Introduction Modern Mathematics
  750.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  751.    wt: 1:   A Introduction Objectives
  752.    wt: 1:   Ramblings Introduction Algebra Essay
  753.    wt: 1:   7 logic review and decimals an odd combination
  754.    wt: 1:   three goals to set for students
  755.    wt: 1:   site eurekas
  756.    wt: 1:   About site lesson plans
  757.    wt: 1:   Mathematics Education Professors
  758.    wt: 1:   what should be learnt and When
  759.    wt: 1:   Postscript 2007 01 10
  760.    wt: 1:   five decades make a difference
  761.    wt: 1:   Maps Plans Drawings
  762.    wt: 1:   mathematics curriculum shifts
  763.    wt: 1:   Lessening Algebra Difficulties
  764.    wt: 1:   05 13 OldSiteEntrancePage
  765.    wt: 1:   04 25 when to stop or suspend mathemat
  766.    wt: 1:   standards for course material
  767.    wt: 1:   formal or informal peer review
  768.    wt: 1:   mathematics instruction in general
  769.    wt: 1:   Education in mathematics science and technology
  770.    wt: 1:   Different Kinds of Reasoning in maths
  771.    wt: 1:   three kinds of reason in mathematics
  772.    wt: 1:   Motivation and Context Problem
  773.    wt: 1:   need for a mixed mathematics curriculum
  774.    wt: 1:   fairness and inductive principles for instruction
  775.    wt: 1:   words for mathematics instructor
  776.    wt: 1:   chapitre 05 00 Deception
  777.    wt: 1:   chapitre 04 05 Implication versus suggestion
  778.    wt: 1:   C Wire Resistance Calculation01
  779.    wt: 1:   2 Unlike resistors in parallel01
  780.    wt: 1:   E Kirchoffs Second Law
  781.    wt: 1:   24 Standards For Skill Develoment Take II
  782.    wt: 1:   24 Standards For Skill Develoment
  783.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  784.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  785.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  786.    wt: 1:   17 Math Booklets for children and young teenagers
  787.    wt: 1:   14 Multiplication and Times Tables
  788.    wt: 1:   13 Addition and Addition Tables
  789.    wt: 1:   12 Goals and Objectives For Mathematics
  790.    wt: 1:   11 Help and Defend Your Child or Teens Education
  791.    wt: 1:   8 The Effect of Negative Remarks
  792.    wt: 1:   4 Learning Takes Time and Effort
  793.    wt: 1:   2 Reading and Writing Skills
  794.    wt: 1:   Ages 6 to 7
  795.    wt: 1:   Ages 4 plus to 5 plus
  796.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  797.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  798.    wt: 1:   Rewriting algebraic substitution as function substitutions
  799.    wt: 1:   musings do not puiblish real numbers
  800.    wt: 1:   A Signed Number Arithmetic Review
  801.    wt: 1:   26 More Less Greater Than Comparison
  802.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  803.    wt: 1:   23 Distributive Law Two Derivations
  804.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  805.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  806.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  807.    wt: 1:   12 Real Numbers Line Signed Coordinates
  808.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  809.    wt: 1:   9 Division with Digits after Decimal Point
  810.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  811.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  812.    wt: 1:   2 Counting Digits in Decimal Multiplication
  813.    wt: 1:   1 Fractions with Finite Decimal Expansions
  814.    wt: 1:   3 Adding Words To Arithmetic
  815.    wt: 1:   2 What is a Variable
  816.    wt: 1:   1 Three Skills For Algebra
  817.    wt: 1:   About Folder Contents
  818.    wt: 1:   016 Numbering Occidental Calendar Days
  819.    wt: 1:   014 Counting Days with Calendars
  820.    wt: 1:   013 Travel Time Tables
  821.    wt: 1:   6 How long is a million seconds
  822.    wt: 1:   A Related Material in Volume 3
  823.    wt: 1:   4 Definite Integrals Evaluation Exercises
  824.    wt: 1:   2 Indefinite Integrals Exercises
  825.    wt: 1:   1 Chain Rule in Reverse Integration Method
  826.    wt: 1:   4 Second derivative test exercise example
  827.    wt: 1:   34 Derivative of exponential function
  828.    wt: 1:   31 Derivatives of inverse functions
  829.    wt: 1:   30Chain Rule A Proof
  830.    wt: 1:   28 Chain Rule Preparation for a Proof
  831.    wt: 1:   26 Chain Rule Recognising outer inner functions
  832.    wt: 1:   25 Chain Rule Animated Examples Continued
  833.    wt: 1:   24 Chain Rule Animated Examples
  834.    wt: 1:   20 Chain Rule for Pulley Systems
  835.    wt: 1:   14 sine and cosine derivatives 2nd step
  836.    wt: 1:   13 sine and cosine derivatives 1st step
  837.    wt: 1:   8 Differentiation of polynomials
  838.    wt: 1:   7 Animated Differentiation Examples
  839.    wt: 1:   5 Product Rule
  840.    wt: 1:   11 Limits at infinity Three Examples
  841.    wt: 1:   10 Three one sided limits with infinite values
  842.    wt: 1:   8 Four Animated Examples
  843.    wt: 1:   7 Evaluation by immediate or delayed substitution
  844.    wt: 1:   6 Continuity at a point
  845.    wt: 1:   4 Numerical properties
  846.    wt: 1:   2 Algebraic codification
  847.    wt: 1:   1 Numerical introduction
  848.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  849.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  850.    wt: 1:   G.5 Motions With Bounded Velocities
  851.    wt: 1:   G.3 Constant Difference Theorem Proof
  852.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  853.    wt: 1:   F.5b Extreme Value Theorem
  854.    wt: 1:   F.5a Equicontinuity Theorems
  855.    wt: 1:   E2 Algebraic Properties of Limits
  856.    wt: 1:   D2 Limits of Monotone Sequences
  857.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  858.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  859.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  860.    wt: 1:   Chapter 12. Units and Slopes
  861.    wt: 1:   Chapter 10 Slopes and Units
  862.    wt: 1:   Chapter 7 Slopes and Velocity
  863.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  864.    wt: 1:   Chapter 2. Slopes and Ski Trails
  865.    wt: 1:   Postscript More on Better Performance
  866.    wt: 1:   Postscript For Better Performance
  867.    wt: 1:   Appendix D. What to do in School and Why
  868.    wt: 1:   Chapter 31 Direct and Indirect Reason
  869.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  870.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  871.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  872.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  873.    wt: 1:   Chapter 20. Degrees and Radians
  874.    wt: 1:   Chapter 19. Functions and Sets
  875.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  876.    wt: 1:   Chapter 12. Shorthand Usage Guide
  877.    wt: 1:   Chapter 11. Why Shorthand
  878.    wt: 1:   Chapter 10 Describing and Changing Calculations
  879.    wt: 1:   Postscript What is a Variable
  880.    wt: 1:   Chapter 6 Change of Language
  881.    wt: 1:   Chapter 4 Longer Chains of Reason
  882.    wt: 1:   Chapter 3 Chains of Reason
  883.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  884.    wt: 1:   Annotated Links to Material Elsehwere
  885.    wt: 1:   Chapter 7 Two Treatments of Geometry
  886.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  887.    wt: 1:   Chapter 2 For and Against Mathematics
  888.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  889.    wt: 1:   Postscript B More on Story Telling and Reason
  890.    wt: 1:   Postscript A Story Telling
  891.    wt: 1:   Chapter 24 Direct and Indirect Reason
  892.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  893.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  894.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  895.    wt: 1:   Chapter 8 Change of Language
  896.    wt: 1:   Chapter 7 Longer Chains of Reason
  897.    wt: 1:   Chapter 6 Chains of Reason
  898.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  899.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  900.    wt: 1:   S Adding words to algebra
  901.    wt: 1:   R Why Learn Mathematics Skills
  902.    wt: 1:   N Mathematics Prepare for College Studies
  903.    wt: 1:   M Words to extend arithmetic
  904.    wt: 1:   L Skills with take home value
  905.    wt: 1:   F. The student teacher tutor feedback loop
  906.    wt: 1:   D. Check work a must with a caution
  907.    wt: 1:   A. Skill has to be seen to believed
  908.    wt: 1:   Chapter 8 Skipped Topics and Why
  909.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  910.    wt: 1:   Chapter 6 More Algebra and Geometry
  911.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  912.    wt: 1:   Mathematics Education References
  913.    wt: 1:   Mathematics Education References
  914.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  915.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  916.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  917.    wt: 1:   Which Way To Go
  918.    wt: 1:   Road Safety Questions
  919.    wt: 1:   The Math Forum and Site Content

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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