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. Avid readers in school and out may like 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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46 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   12 Function Translating and Rescaling/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   5 What is Similarity/
  11.    wt: 6:   4 Lines and Slopes Take 1/
  12.    wt: 6:   3 Cartesian and Polar Coordinates/
  13.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  14.    wt: 5:   7 Complex Numbers/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  17.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  18.    wt: 4:   A Decimal Counting and Adding Methods/
  19.    wt: 3:   11 Squares and Square Roots/
  20.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  21.    wt: 3:   9 Combinatorics Trees Tables and Products/
  22.    wt: 3:   7 Arithmetic and Fractions with Units/
  23.    wt: 3:   6 Fractions and Ratios/
  24.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  25.    wt: 3:   D Decimal Long Division Methods/
  26.    wt: 3:   C Decimal Multiplication Methods/
  27.    wt: 3:   2 Arithmetic with Decimals/
  28.    wt: 2:   A Origins of Counting and Figuring Methods/
  29.    wt: 2:   8 Arithmetic with Signed Numbers/
  30.    wt: 2:   5 Integers/
  31.    wt: 2:   3 Prime Factorization Skills/
  32.    wt: 2:   1 Decimal Place Value/
  33.    wt: 2:   Arithmetic and Number Theory Skills/
  34.    wt: 1:   10 Examples of Algebraic Reasoning/
  35.    wt: 1:   9 Proportionality Backwards and Forwards/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   4 Computation Rules and Function Notation/
  39.    wt: 1:   Step 1 Stick diagram and fractions/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 1 Elements of Reason/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/
  45.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  46.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

Web Page Search

440 matches:

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

Extended Search

745 matches:

  1.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  2.    wt: 9:   27 Logarithmic use of products of sines and cosines
  3.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  4.    wt: 9:   2 Similar Triangles Equality of Corresponding Side Ratios
  5.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  6.    wt: 9:   9 Similarity of Triangles Usual Criteria
  7.    wt: 9:   5 Similarity of Circles Squares and Rectangles
  8.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  9.    wt: 9:   4 Angles on Maps Plans drawn to scale
  10.    wt: 8:   4 Resultant of a Sum of Movements
  11.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  12.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  13.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  14.    wt: 8:   26 Formulas for products of sines and cosines
  15.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  16.    wt: 8:   14 cosine even and sine and tangent are odd
  17.    wt: 8:   10 Graphs of sines and cosines many periods
  18.    wt: 8:   9 Graphs of sine and cosine over one period
  19.    wt: 8:   7 period of sine and cosine
  20.    wt: 8:   Unit Circle Development of Trigonometry
  21.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  22.    wt: 8:   5 Trigonometric Ratios For Tangent and Special Triangles
  23.    wt: 8:   12 Triangles Similarity More Problems
  24.    wt: 8:   10 Midpoint of [a b] and [b a]
  25.    wt: 8:   1 Numerical view of lines and their equations
  26.    wt: 8:   6 Figuring with Maps Not to Scale
  27.    wt: 7:   9 Summary Degrees to Radians and back
  28.    wt: 7:   8 Radian Measures of Common Angles
  29.    wt: 7:   7 Radian Measures in special Triangles
  30.    wt: 7:   2 Radian Measure Numerical Value of one degree
  31.    wt: 7:   1 Degrees and Radians Introduction
  32.    wt: 7:   A Global Time and Navigation
  33.    wt: 7:   15 Dot and Cross Product
  34.    wt: 7:   13 Velocity Vectors in Physics
  35.    wt: 7:   8 Parallel Vectors
  36.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  37.    wt: 7:   6 Vectors with Coordinates
  38.    wt: 7:   3 Navigation with Arrows or Vectors
  39.    wt: 7:   2 Signed Coordinates
  40.    wt: 7:   Vector and Complex Number Applet
  41.    wt: 7:   Parallel Lines and Parallel Transversals
  42.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  43.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  44.    wt: 7:   Parallel Lines and Interior Angles
  45.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  46.    wt: 7:   Straight Lines Intersection of
  47.    wt: 7:   3 Straight Lines Slope as Tangent of Inclination Angle
  48.    wt: 7:   32 seven rows of pascals triangle
  49.    wt: 7:   30 unit circle calculation of six trigonometric functions
  50.    wt: 7:   29 secant cosecant and cotangent for acute angles
  51.    wt: 7:   28 Expressing products of sines cosines as sums
  52.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  53.    wt: 7:   21 sine and cosine Half Angle Formulas
  54.    wt: 7:   20 sine and cosine Double Angle Formulas
  55.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  56.    wt: 7:   18 sum of sinusoidal waves as a single wave
  57.    wt: 7:   17F Law of cosines
  58.    wt: 7:   17E Trig Formulas for dot and cross Products
  59.    wt: 7:   17D cis formulas for sine cosines and tangent
  60.    wt: 7:   17C sine and cosine double triple angle formulas
  61.    wt: 7:   16 Right Triangle Complementary Angle Relations
  62.    wt: 7:   13 Graph of tangent function many periods
  63.    wt: 7:   12 Graph of tangent function for one period
  64.    wt: 7:   8 period of tangent function
  65.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  66.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  67.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  68.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  69.    wt: 7:   19 N th Roots of Unity
  70.    wt: 7:   8 Unit Circle Development of Trigonometry
  71.    wt: 7:   5 An Easy Proof of the Distributive Law
  72.    wt: 7:   8 Triangles Cascade Problem Solving
  73.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  74.    wt: 7:   3 Trigonometric Ratios sine and cosine
  75.    wt: 7:   Why Trigonometry the whyslopes view
  76.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  77.    wt: 7:   11 Triangle Similarity Missing Side Problem
  78.    wt: 7:   4 Similarity Definition with Coordinate
  79.    wt: 7:   3 Similarity by Design with coordinates
  80.    wt: 7:   2 Similarity By Design
  81.    wt: 7:   1 Early Concept of Like or Similar Shapes
  82.    wt: 7:   7 Exercises to test skill and concept mastery
  83.    wt: 7:   6 Intersection of lines by solving linear systems
  84.    wt: 7:   5 Algebraic View of Slopes
  85.    wt: 7:   2 point slope equation for a line
  86.    wt: 7:   What is and is not here
  87.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  88.    wt: 7:   6 Polar Multiplication and Rotation
  89.    wt: 7:   5 Cartesian Addition and Translation
  90.    wt: 7:   4 Polar Coordinates to and from
  91.    wt: 7:   2 Cartesian Coordinates with signs
  92.    wt: 7:   A Measurement with Ruler Proper Use
  93.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  94.    wt: 7:   2 Measuring Area Directly
  95.    wt: 7:   1 Length Measurement
  96.    wt: 6:   16 cotangent function Definition Graph and Inverse
  97.    wt: 6:   15 cosecant function Definition Graph and Inverse
  98.    wt: 6:   14 secant function Definition Graph and Inverse
  99.    wt: 6:   13 cosecant function Definition Graph and Inverse
  100.    wt: 6:   11 arctan left inverse of tangent Graph
  101.    wt: 6:   10 arctan left inverse of tangent Definition
  102.    wt: 6:   8 arcsin left inverse of sine Graph
  103.    wt: 6:   7 arcsin left inverse of sine Definition
  104.    wt: 6:   6 Graph of arccos function
  105.    wt: 6:   3 Left Inverse of cosine arccos definition
  106.    wt: 6:   6 Radian Measure to Degrees
  107.    wt: 6:   5 Degrees to Radian Measure
  108.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  109.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  110.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  111.    wt: 6:   12 From Applied To Pure Mathematics
  112.    wt: 6:   11 Component Method
  113.    wt: 6:   10 Parallelogram Addition Method
  114.    wt: 6:   9 Head to Tail Coordinate View
  115.    wt: 6:   5 Head To Tail Arrow Addition
  116.    wt: 6:   1 Unsigned Coordinates
  117.    wt: 6:   4 graphing y=Asin(x c)
  118.    wt: 6:   3 graphing y=f(x c) plus K
  119.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  120.    wt: 6:   1 graphing y=f(x a)
  121.    wt: 6:   Triangle Angles Sum To 180 Degrees
  122.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  123.    wt: 6:   Straight Lines ASA Intersection Study More
  124.    wt: 6:   Straight Lines ASA Intersection Study
  125.    wt: 6:   Straight Lines Instersection Solving Equations
  126.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  127.    wt: 6:   C Straight Lines Slope from Coordinates
  128.    wt: 6:   B Straight Line Slope Scaling Properties More
  129.    wt: 6:   A Straight Line Slope Scaling Properties
  130.    wt: 6:   14 Straight Lines Equations General Case
  131.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  132.    wt: 6:   12 Straight Lines Graphing mx plus b
  133.    wt: 6:   11 Straight Lines Graphing y=mx
  134.    wt: 6:   10 Straight Lines through Origin Equations More
  135.    wt: 6:   9 Straight Lines through Origin Equations
  136.    wt: 6:   8 Straight Lines Equation for vertical
  137.    wt: 6:   7 Tangent Function is odd on this domain
  138.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  139.    wt: 6:   5 Tangent Function Graph
  140.    wt: 6:   4 Tangent Function Properties
  141.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  142.    wt: 6:   1 Straight Lines Slope Concept
  143.    wt: 6:   17 tangent function angle sum formulas
  144.    wt: 6:   31 basic secant cosecant cotangent trig identities
  145.    wt: 6:   25 tangent double angle formula Slope connection
  146.    wt: 6:   24 tangent Angle Difference Formula
  147.    wt: 6:   17G Pythagorean Theorem Converse
  148.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  149.    wt: 6:   17A The complex number valued trig function cis
  150.    wt: 6:   15 sine cosine Complementary Angle Relations
  151.    wt: 6:   11 tangent function undefined when terminal side vertical
  152.    wt: 6:   2 Quadrant I reference Angles
  153.    wt: 6:   1 Unit Points Reflections Rotations
  154.    wt: 6:   21 Logarithms Powers and Exponentials
  155.    wt: 6:   20 N th Roots of Complex Numbers
  156.    wt: 6:   18 Sixth Roots of Unity
  157.    wt: 6:   17 Cube Roots of unity
  158.    wt: 6:   16 References and Originality Question
  159.    wt: 6:   14 Law of cosines
  160.    wt: 6:   13 Trig Formulas for dot and cross Products
  161.    wt: 6:   12 cis formulas for sine cosines and tangent
  162.    wt: 6:   11 sine and cosine double triple angle formulas
  163.    wt: 6:   6 Field Properties of Complex Number
  164.    wt: 6:   2 Complex Numbers made easier we hope
  165.    wt: 6:   7 Trignometric Ratios Unit Circle
  166.    wt: 6:   1 Angle Measurement with Degrees
  167.    wt: 6:   7 Translations Rotations Reflections Dilatations
  168.    wt: 6:   6 Geometric Diagrams in Class
  169.    wt: 6:   Four Simple Exercises
  170.    wt: 6:   12 Links Lessons elsewhere
  171.    wt: 6:   11 A Partial Summary
  172.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  173.    wt: 6:   8 Mid Point Formula
  174.    wt: 6:   4 Equations for lines three forms
  175.    wt: 6:   3 Slope product for perpendicular lines
  176.    wt: 6:   13 Pythagorean spatial distance formulas
  177.    wt: 6:   12 Spatial Coordinates
  178.    wt: 6:   11 Triangle Inequality
  179.    wt: 6:   10 Pythagorean plane distance formula
  180.    wt: 6:   8 Distance Between Points on a Line
  181.    wt: 6:   7 Complex Numbers Appetizer
  182.    wt: 6:   3 Rectangular Coordinates Review
  183.    wt: 6:   1 Cartesian Coordinates sans signs
  184.    wt: 6:   2 More and Less Than with Unlike Signs
  185.    wt: 6:   1 More and Less Than for Counts and Measures
  186.    wt: 6:   6. Counting and adding units and mixed units
  187.    wt: 5:   12 motivation for term arctan
  188.    wt: 5:   9 motivation for name arcsin
  189.    wt: 5:   5 Swapping Coordinates is a reflection
  190.    wt: 5:   4 possible motivation for term arccos
  191.    wt: 5:   2 cosine function more properties
  192.    wt: 5:   1 cosine function properties
  193.    wt: 5:   15 Pythagorean Theorem Converse
  194.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  195.    wt: 5:   9 The complex number valued trig function cis
  196.    wt: 5:   7 Second Way to Calculate Products
  197.    wt: 5:   4 Multiplication Properties
  198.    wt: 5:   3 Addition Properties
  199.    wt: 5:   1 Rectangular Polar Coordinates Review
  200.    wt: 5:   Appetizer A Complex Number Applet
  201.    wt: 5:   About Folder Contents
  202.    wt: 5:   3 Comparison of Negative Numbers
  203.    wt: 5:   17 GCD LCM of 85 and 60 via Prime
  204.    wt: 5:   16 GCD and LCM of 650 225 via Prime
  205.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  206.    wt: 5:   4 LCM of 8 and 10 via Prime
  207.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  208.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  209.    wt: 5:   8 Subtraction with Units of Measure
  210.    wt: 5:   4 Subtraction with Conversions Borrows and Letter J
  211.    wt: 5:   3 Harder Cases Convert to Compare and Subtract
  212.    wt: 5:   2 Subtraction Easy Case Examples
  213.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
  214.    wt: 5:   8 What skills and work habits to require
  215.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  216.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  217.    wt: 4:   2 Combing Counts Addition Skills and Principles
  218.    wt: 4:   4 Greater More Less Than Signs in General
  219.    wt: 4:   3 Properties of Square Roots with example
  220.    wt: 4:   1 Squares and Square Roots Introduction
  221.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  222.    wt: 4:   14 GCD of 650 110 via Primes LCM via Product Rule
  223.    wt: 4:   10 Euclid Algorithm with 129 125 and with 45 14
  224.    wt: 4:   8 GCD from Euclidean Algorithm
  225.    wt: 4:   7 GCD and LCM from prime factorization
  226.    wt: 4:   3 Counting with Tables and Trees II
  227.    wt: 4:   2 Counting with Tables and Trees I
  228.    wt: 4:   1 Counting and Counting Methods I
  229.    wt: 4:   5 lengths and signs of numbers
  230.    wt: 4:   3 signed coordinates for maps and planes
  231.    wt: 4:   6 Simplification of Fractions with Units
  232.    wt: 4:   5 Reciprocals and Division for Fractions with Units
  233.    wt: 4:   3 Multiplying Units and Numbers
  234.    wt: 4:   2 Equality and Units
  235.    wt: 4:   1 Addition and Subtraction with Units
  236.    wt: 4:   B Fractions and Two Term Ratios
  237.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  238.    wt: 4:   21 Reciprocals for Fractions and Wholes
  239.    wt: 4:   17 Efficient Ways to Add and Subtract
  240.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  241.    wt: 4:   14 Adding and Subtracting with Like Denominators
  242.    wt: 4:   9 Improper Fractions and Mixed Numbers
  243.    wt: 4:   6 Multiplication of Mixed Numbers
  244.    wt: 4:   3 Unit fraction of a fraction
  245.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  246.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  247.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  248.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  249.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  250.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  251.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  252.    wt: 4:   2 Prime and Composites less than 16
  253.    wt: 4:   Division with Counts and Length
  254.    wt: 4:   Long Division forwards and backwards Example 3
  255.    wt: 4:   Long Division forwards and backwards Example 2
  256.    wt: 4:   Long Division forwards and backwards Example 1
  257.    wt: 4:   10 Division by Five Long and Short Ways
  258.    wt: 4:   2 Division with Single Digit Divisors
  259.    wt: 4:   C Counting Areas with Powers of Ten
  260.    wt: 4:   B Powers of Ten
  261.    wt: 4:   4 Two and Three Digit Multipliers
  262.    wt: 4:   2 One Digit Multipliers
  263.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  264.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  265.    wt: 4:   Subtraction with J Conversions Example
  266.    wt: 4:   Subtraction Another Video Lesson
  267.    wt: 4:   9 22 Minute Subtraction Review Video
  268.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  269.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  270.    wt: 4:   5 A Tip for Efficent Subtraction
  271.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  272.    wt: 4:   7 Adding decimal fractions using decimal point
  273.    wt: 4:   5. How to add decimals C. Examples
  274.    wt: 4:   4. How to add with decimals B with conversions
  275.    wt: 4:   3. How to add with decimals A sans conversions
  276.    wt: 4:   2 Decimal Counting Practices
  277.    wt: 4:   1. Explaining Addition Table
  278.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  279.    wt: 4:   Quick history of numbers and algebra
  280.    wt: 3:   B Decimal Comparison and Subtraction
  281.    wt: 3:   1 The Counting Origins of Numbers
  282.    wt: 3:   2 More and Less Than for Counts and Measures
  283.    wt: 3:   5 Square Roots with primes more still
  284.    wt: 3:   4 Square Roots with primes more
  285.    wt: 3:   2 Square Roots with Prime
  286.    wt: 3:   13 GCD from given Prime Factorization
  287.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  288.    wt: 3:   6 GCD from Prime
  289.    wt: 3:   5 Common Divisors 60 45 via Prime
  290.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  291.    wt: 3:   2 Least Common Multiple LCM intro via list method
  292.    wt: 3:   1 Least Common Multiples LCM Introduction
  293.    wt: 3:   12 GCD 2700 288 via Prime
  294.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  295.    wt: 3:   4 Counting with Trees Product Rule Take I
  296.    wt: 3:   11 What are real lengths and numbers
  297.    wt: 3:   7 negative and additive inverse
  298.    wt: 3:   2 signed and unsigned numbers as coordinates
  299.    wt: 3:   7 Converting or Changing Units
  300.    wt: 3:   4 Fractions with Units
  301.    wt: 3:   D Three Term Ratios
  302.    wt: 3:   22 Complex Compound Fractions
  303.    wt: 3:   21 Working With Signs
  304.    wt: 3:   20 Dividing Fractions the Why
  305.    wt: 3:   19 Dividing Fractions How TO
  306.    wt: 3:   18 Efficient Ways to Multiply
  307.    wt: 3:   16 Addition Subtraction Comparision Compared
  308.    wt: 3:   13 Fraction Comparison Algebraic View
  309.    wt: 3:   12 Fraction Comparison
  310.    wt: 3:   11 Simplification an Algebraic View
  311.    wt: 3:   8 Numerals Fractionals Quantals Take II
  312.    wt: 3:   7 Numerals Fractionals Quantals
  313.    wt: 3:   6 Multiplication Algebraically Take II
  314.    wt: 3:   5 Equivalent Fractions
  315.    wt: 3:   4 Fraction Multiplication
  316.    wt: 3:   2 Unit Fraction Multiplication
  317.    wt: 3:   1 What is a fraction Take II
  318.    wt: 3:   1 What is a fraction
  319.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  320.    wt: 3:   11 Adding Integers Formulas and Examples
  321.    wt: 3:   5 Zero Movement and Additive Inverses
  322.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  323.    wt: 3:   26 Divisibility by 2 3 5 Example
  324.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  325.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  326.    wt: 3:   23 Remainder Arithmetic Modulo 2
  327.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  328.    wt: 3:   21 Remainder Arithmetic Modulo 3
  329.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  330.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  331.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  332.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  333.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  334.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  335.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  336.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  337.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  338.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  339.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  340.    wt: 3:   5 Remainder Arithmetic Modulo 5
  341.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  342.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  343.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  344.    wt: 3:   1 Remainder Arithmetic Modulo 10
  345.    wt: 3:   20 Uniqueness of Prime Factorization
  346.    wt: 3:   19 video Prime Factorization Unique
  347.    wt: 3:   17 Identify and Count Factors using Primes
  348.    wt: 3:   16 video Factors of 980 using prime
  349.    wt: 3:   15 video Factors of 20 using Prime Factorization
  350.    wt: 3:   14 video Factors of 24 Take II
  351.    wt: 3:   13 video Factors of 24 using prime
  352.    wt: 3:   12 LCD GCD and LCM using Primes
  353.    wt: 3:   7 Calculator Usage Notes and Cautions
  354.    wt: 3:   5 Prime Factorization and a Square Rule
  355.    wt: 3:   3 video Primes and Composites from 9 times table
  356.    wt: 3:   Long Division Backwards more
  357.    wt: 3:   Long Division Backward
  358.    wt: 3:   12 Why Long Division Works Take III
  359.    wt: 3:   11 Another Single Digit Divisor Example
  360.    wt: 3:   9 Why Long Division Works Take II
  361.    wt: 3:   8 Correcting the Mistake
  362.    wt: 3:   7 Long Divison Mistake Catching
  363.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  364.    wt: 3:   5 Long Division Include Zeroes or not
  365.    wt: 3:   4 Division with 2 Digit Divsors
  366.    wt: 3:   3 Division Single Digit Divisor Example
  367.    wt: 3:   1 Divsion Physical Examples
  368.    wt: 3:   D Decimal Multiplication Methods Derived
  369.    wt: 3:   A Elementary Basis for Multiplication Methods
  370.    wt: 3:   6 Multiplication Commutes Order Not Important
  371.    wt: 3:   5 Decimal Fraction Multiplication
  372.    wt: 3:   3 More One Digit Multipliers
  373.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  374.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  375.    wt: 3:   Video Power Notation in Decimal Expansion
  376.    wt: 3:   1 Why 3 times 5 gives 15
  377.    wt: 3:   11 Place Value SI Standard International way
  378.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  379.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  380.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  381.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  382.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  383.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  384.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  385.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  386.    wt: 3:   Exact Arithmetic Wholes and Fractions
  387.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  388.    wt: 3:   17 Derivatives of quotients of sine and cosine
  389.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  390.    wt: 3:   5 Jumps and absence of unlimited error control
  391.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  392.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  393.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  394.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  395.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  396.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  397.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  398.    wt: 2:   3 Euclidean Geometry Leanly
  399.    wt: 2:   Maps Plans Drawings
  400.    wt: 2:   Theory of Knowledge
  401.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  402.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  403.    wt: 2:   2 Reading and Writing Skills
  404.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  405.    wt: 2:   8 Set view of relations and functions
  406.    wt: 2:   21 Addition of Multiples of a Single Vector
  407.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  408.    wt: 2:   19 Signed Multiples of Vectors
  409.    wt: 2:   13 Arrows and Vectors in a Plane
  410.    wt: 2:   8 Division and Mulplication of Compound Fractions
  411.    wt: 2:   E Long Division Methods more
  412.    wt: 2:   D Long Division Methods
  413.    wt: 2:   C Three Decimal Subtraction Methods
  414.    wt: 2:   A Decimal Addition Columm Methods
  415.    wt: 2:   8 Column Multiplication Methods in General
  416.    wt: 2:   7 Decimals Multiplication Methods Examples
  417.    wt: 2:   6 Column Methods for Decimal Multiplication
  418.    wt: 2:   5 Distributive Law for Whole Numbers
  419.    wt: 2:   4 Commutative Law Groups Counting Form
  420.    wt: 2:   3 Multiplicative Counting Skills Principles
  421.    wt: 2:   5 Areas of Rectangles Revisited
  422.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  423.    wt: 2:   4 Rates Ratios and Proporitionality
  424.    wt: 2:   2 Algebraic View
  425.    wt: 2:   6 Equations and Systems Equivalent or Implied
  426.    wt: 2:   4 Subtraction and Division Axioms
  427.    wt: 2:   2 Addition and Multiplication Axioms
  428.    wt: 2:   4 Comparison of Negative Numbers
  429.    wt: 2:   3 More and Less Than with Unlike Signs
  430.    wt: 2:   8 Coordinates for Maps and Planes
  431.    wt: 2:   3 Geometric Formulas and Function Notation
  432.    wt: 2:   1 Formulas Dependence and Function Notation
  433.    wt: 2:   2 Three Examples
  434.    wt: 2:   4 A Brief Story of numbers and algebra
  435.    wt: 2:   arithmetic videos Real Player Format
  436.    wt: 2:   10 dividing signed numbers
  437.    wt: 2:   9 subtracting signed numbers
  438.    wt: 2:   8 multiplying signed numbers
  439.    wt: 2:   6 adding signed numbers
  440.    wt: 2:   4 signed coordinates for regions in space
  441.    wt: 2:   D Remainders Modulo 11 Pair Rule
  442.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  443.    wt: 2:   B Integer Long Division Multiple Choices
  444.    wt: 2:   A Associative Law Theorectical Note
  445.    wt: 2:   13 Subtraction with Additive Inverse
  446.    wt: 2:   12 Adding Integers More Examples
  447.    wt: 2:   10 Integer Multiplication Formulas
  448.    wt: 2:   9 Multiplying Integers
  449.    wt: 2:   8 Multiplication by Signed Numbers Integers
  450.    wt: 2:   7 Multiplication by Signs
  451.    wt: 2:   6 Multiplication by Natural Numbers
  452.    wt: 2:   4 Adding Movements wiht opposite directions
  453.    wt: 2:   3 Adding Movements with same direction
  454.    wt: 2:   1 Integers as Coordinates
  455.    wt: 2:   18 video Count Factors given Prime Factorization
  456.    wt: 2:   11 Efficient Square Rule Use
  457.    wt: 2:   10 video Prime Factorization upto 23 squared
  458.    wt: 2:   9 video Prime Factorization upto 19 squared
  459.    wt: 2:   8 video Prime Factorization upto 19
  460.    wt: 2:   4 video Prime Factorization Introduction
  461.    wt: 2:   1 video how Products are bigger than factor
  462.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  463.    wt: 2:   Formula Evaluation how to show work
  464.    wt: 2:   Expression Evaluation how to show work
  465.    wt: 2:   The 20 Times Table
  466.    wt: 2:   The 12 Times Table Visually
  467.    wt: 2:   About folder contents
  468.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  469.    wt: 2:   4 Mixing and Changing Units of Time
  470.    wt: 2:   3 Units and Lengths of Time
  471.    wt: 2:   Example 2 volume of a cone
  472.    wt: 2:   Example 1 volume of a pyramid
  473.    wt: 2:   Volume of Solid by Cross Sections Lesson
  474.    wt: 2:   Example 1. Area Between x and x squared
  475.    wt: 2:   Example 4 with x function of y
  476.    wt: 2:   38 Formulas and derivatives for powers and roots
  477.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  478.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  479.    wt: 2:   9 Limits Continuity and Composition
  480.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  481.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  482.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  483.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  484.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  485.    wt: 2:   Chapter 7 Two Treatments of Geometry
  486.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  487.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  488.    wt: 2:   O On Learning Mathematics and Science
  489.    wt: 2:   N Improving Marks on Tests and Finals
  490.    wt: 2:   J. More on written work and showing skill
  491.    wt: 2:   I. Logic and language skills
  492.    wt: 2:   H Jigsaw puzzles and problem solving
  493.    wt: 2:   G. Written work formats for developing and showing skill
  494.    wt: 2:   E. When and how to correct errors
  495.    wt: 2:   C. Domino effect of being careful
  496.    wt: 2:   B. Domino effect of errors
  497.    wt: 2:   How to Build Skills and Confidence
  498.    wt: 2:   Chapter 6 More Algebra and Geometry
  499.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  500.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  501.    wt: 2:   7 Games and Activities for Instruction
  502.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  503.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  504.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  505.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  506.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  507.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  508.    wt: 1:   Appendix 1 primary and preschool mathematic
  509.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  510.    wt: 1:   Ramblings Extrinsic numbers theory
  511.    wt: 1:   Skills Chapter 2 Geometry
  512.    wt: 1:   8 analytic geometry etc
  513.    wt: 1:   7 logic review and decimals an odd combination
  514.    wt: 1:   5 logarithms and exponentials etc
  515.    wt: 1:   About site lesson plans
  516.    wt: 1:   key notes and themes
  517.    wt: 1:   Mathematics Education Professors
  518.    wt: 1:   what should be learnt and When
  519.    wt: 1:   standards for course material
  520.    wt: 1:   Education in mathematics science and technology
  521.    wt: 1:   Different Kinds of Reasoning in maths
  522.    wt: 1:   three kinds of reason in mathematics
  523.    wt: 1:   Motivation and Context Problem
  524.    wt: 1:   fairness and inductive principles for instruction
  525.    wt: 1:   2 Conductance Resistance Duality02
  526.    wt: 1:   E Kirchoffs Second Law
  527.    wt: 1:   D Kirchoff First Law
  528.    wt: 1:   Home Tutoring and Home Schooling
  529.    wt: 1:   24 Standards For Skill Develoment Take II
  530.    wt: 1:   24 Standards For Skill Develoment
  531.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  532.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  533.    wt: 1:   17 Math Booklets for children and young teenagers
  534.    wt: 1:   14 Multiplication and Times Tables
  535.    wt: 1:   13 Addition and Addition Tables
  536.    wt: 1:   12 Goals and Objectives For Mathematics
  537.    wt: 1:   11 Help and Defend Your Child or Teens Education
  538.    wt: 1:   8 The Effect of Negative Remarks
  539.    wt: 1:   5 Patience Please for Yourself and Your Charges
  540.    wt: 1:   4 Learning Takes Time and Effort
  541.    wt: 1:   Ages 12 to 14 Geometry
  542.    wt: 1:   Ages 10 to 12 Geometry
  543.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  544.    wt: 1:   26 Function definitions done and coming
  545.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  546.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  547.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  548.    wt: 1:   20 Interchanging coordinates a reflection
  549.    wt: 1:   19 Horizontal line rule and method
  550.    wt: 1:   18 Vertical Line Rule and Method
  551.    wt: 1:   17 Function maxima minima and their location
  552.    wt: 1:   15 Sign analysis of functions
  553.    wt: 1:   11 Function Domain Range Source and Targets
  554.    wt: 1:   9 Set theory term relation possible origins
  555.    wt: 1:   6 Set Existence Formation and Notation
  556.    wt: 1:   4 Function notation in and beyond mathematics
  557.    wt: 1:   2 Algebraic use of function notation
  558.    wt: 1:   1 Geometric Introduction of Function Notation
  559.    wt: 1:   9 quadratics physical and further context
  560.    wt: 1:   8 quadratics backward use of various formulas
  561.    wt: 1:   4 quadratics difference of two squares
  562.    wt: 1:   11 Growth and Decay in Biology
  563.    wt: 1:   10 Exponential Growth and Decay Models
  564.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  565.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  566.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  567.    wt: 1:   A Modular and Remainder Arithmetic
  568.    wt: 1:   22 Multiplication of Signed Numbers
  569.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  570.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  571.    wt: 1:   11 Signed Number Addition and Addition Properties
  572.    wt: 1:   4 Location of Point in Decimal Addition
  573.    wt: 1:   3 Location of Point in Decimal Multiplication
  574.    wt: 1:   4 Fraction Operations Axiomatic Development
  575.    wt: 1:   3 Inequalities Algebraically
  576.    wt: 1:   2 Fraction Operations Physical Development
  577.    wt: 1:   5 Proportionality in Equivalent Fractions
  578.    wt: 1:   3 Proportionality Examples
  579.    wt: 1:   1 What is Proportionality
  580.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  581.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  582.    wt: 1:   6 Compound Interest Forward and Backwards
  583.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  584.    wt: 1:   5 Equality in Algebra
  585.    wt: 1:   3 Product Axioms Two Forms
  586.    wt: 1:   1 Equivalent Computation Rules
  587.    wt: 1:   5 Greater More Less Than Signs in General
  588.    wt: 1:   1 Real Numbers Comparison
  589.    wt: 1:   10 Real Number Lengths and Signs
  590.    wt: 1:   1 Whole and Natural Numbers
  591.    wt: 1:   5 Independent versus Dependent Variables
  592.    wt: 1:   4 Changing Letters
  593.    wt: 1:   2 Computation Rules Evaluation
  594.    wt: 1:   3 GE III Equation Addition and Multiplication
  595.    wt: 1:   2 GE II Comparison
  596.    wt: 1:   2 Essentially one exercises three with solution
  597.    wt: 1:   2 Three Examples
  598.    wt: 1:   Skill Development Notes
  599.    wt: 1:   10 One Example
  600.    wt: 1:   9 Three Examples
  601.    wt: 1:   8 One Example
  602.    wt: 1:   7 Two Examples
  603.    wt: 1:   6 Three Examples
  604.    wt: 1:   5 Three Examples
  605.    wt: 1:   4 Two Examples
  606.    wt: 1:   3 Two Examples
  607.    wt: 1:   11 Volume of Sphere
  608.    wt: 1:   10 Volume of Pyramid
  609.    wt: 1:   9 Volume of Cone
  610.    wt: 1:   1 Written work formats for developing and showing skill
  611.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  612.    wt: 1:   9 Sets in Probability and Statistics
  613.    wt: 1:   8 Sets of Numbers
  614.    wt: 1:   6 Three Notions of What is a Variable
  615.    wt: 1:   5 Talking about Numbers and Quantities
  616.    wt: 1:   015 School and work day counting tables
  617.    wt: 1:   012 Division of Time Intervals by Time Intervals
  618.    wt: 1:   011 Division of Time Intervals By Numbers
  619.    wt: 1:   010 Repeated Addition of Time Intervals
  620.    wt: 1:   8 Addition of Time Intervals via subtotaling
  621.    wt: 1:   7 Addition of Time Intervals
  622.    wt: 1:   2 Time and Date Matters in School
  623.    wt: 1:   1 Intro of Kids To Time Date Skills
  624.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  625.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  626.    wt: 1:   Example 3
  627.    wt: 1:   Example 2
  628.    wt: 1:   Example 1
  629.    wt: 1:   Area Between Curves Lesson Take 2
  630.    wt: 1:   Area Between Curves Lesson Take 1
  631.    wt: 1:   Summary
  632.    wt: 1:   34 Derivative of exponential function
  633.    wt: 1:   31 Derivatives of inverse functions
  634.    wt: 1:   30Chain Rule A Proof
  635.    wt: 1:   28 Chain Rule Preparation for a Proof
  636.    wt: 1:   15 sine and cosine derivatives 3rd step
  637.    wt: 1:   14 sine and cosine derivatives 2nd step
  638.    wt: 1:   13 sine and cosine derivatives 1st step
  639.    wt: 1:   8 Differentiation of polynomials
  640.    wt: 1:   11 Limits at infinity Three Examples
  641.    wt: 1:   10 Three one sided limits with infinite values
  642.    wt: 1:   8 Four Animated Examples
  643.    wt: 1:   7 Evaluation by immediate or delayed substitution
  644.    wt: 1:   6 Continuity at a point
  645.    wt: 1:   4 Numerical properties
  646.    wt: 1:   3 Decimal insights for limits continuity convergence
  647.    wt: 1:   2 Algebraic codification
  648.    wt: 1:   1 Numerical introduction
  649.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  650.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  651.    wt: 1:   G.3 Constant Difference Theorem Proof
  652.    wt: 1:   E2 Algebraic Properties of Limits
  653.    wt: 1:   D2 Limits of Monotone Sequences
  654.    wt: 1:   PostScript For and Against Decimal Perspectives
  655.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  656.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  657.    wt: 1:   Chapter 23 Links To Trigonometry
  658.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  659.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  660.    wt: 1:   Chapter 12. Units and Slopes
  661.    wt: 1:   Chapter 10 Slopes and Units
  662.    wt: 1:   Chapter 7 Slopes and Velocity
  663.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  664.    wt: 1:   Chapter 2. Slopes and Ski Trails
  665.    wt: 1:   Appendix E. How To Study Mathematics and Why
  666.    wt: 1:   Appendix D. What to do in School and Why
  667.    wt: 1:   Chapter 31 Direct and Indirect Reason
  668.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  669.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  670.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  671.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  672.    wt: 1:   Chapter 20. Degrees and Radians
  673.    wt: 1:   Chapter 19. Functions and Sets
  674.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  675.    wt: 1:   Chapter 12. Shorthand Usage Guide
  676.    wt: 1:   Chapter 11. Why Shorthand
  677.    wt: 1:   Chapter 10 Describing and Changing Calculations
  678.    wt: 1:   Chapter 6 Change of Language
  679.    wt: 1:   Chapter 4 Longer Chains of Reason
  680.    wt: 1:   Chapter 3 Chains of Reason
  681.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  682.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  683.    wt: 1:   Chapter 2 For and Against Mathematics
  684.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  685.    wt: 1:   Postscript B More on Story Telling and Reason
  686.    wt: 1:   Chapter 24 Direct and Indirect Reason
  687.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  688.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  689.    wt: 1:   Chapter 18 Sense and Knowledge
  690.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  691.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  692.    wt: 1:   Chapter 8 Change of Language
  693.    wt: 1:   Chapter 7 Longer Chains of Reason
  694.    wt: 1:   Chapter 6 Chains of Reason
  695.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  696.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  697.    wt: 1:   S Adding words to algebra
  698.    wt: 1:   R Why Learn Mathematics Skills
  699.    wt: 1:   N Mathematics Prepare for College Studies
  700.    wt: 1:   M Words to extend arithmetic
  701.    wt: 1:   L Skills with take home value
  702.    wt: 1:   H more Routine to non routine problem solving
  703.    wt: 1:   F. The student teacher tutor feedback loop
  704.    wt: 1:   D. Check work a must with a caution
  705.    wt: 1:   A. Skill has to be seen to believed
  706.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  707.    wt: 1:   Chapter 8 Skipped Topics and Why
  708.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  709.    wt: 1:   Helping the Blind in Logic and Mathematics
  710.    wt: 1:   More Algebra and Slope based Calculus Preview
  711.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  712.    wt: 1:   The Math Forum and Site Content
  713.    wt: 14:   19 Right Triangle Similarity
  714.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  715.    wt: 13:   PS C Similarity Use Recognize it in Trigonometry
  716.    wt: 13:   17 Right Bisectors of Triangle Sides
  717.    wt: 13:   9 Construction of a right bisector
  718.    wt: 13:   3 Isometry of Triangles Congruence
  719.    wt: 13:   2 Correspondence between Triangles
  720.    wt: 13:   Short Course on Euclidean Geometry
  721.    wt: 12:   18 Triangle Similarity Take 1
  722.    wt: 12:   16 Angles Subtended By Chords and Diameters
  723.    wt: 12:   8 Isoceles Triangles
  724.    wt: 12:   6 Ruler and compass Angle Bisection
  725.    wt: 12:   1 Initial Concepts and Terms
  726.    wt: 11:   PS H Distributive Law For Complex Numbers
  727.    wt: 11:   PS G Rotation Distributes over Addition
  728.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  729.    wt: 11:   PS E Multiplication with Polar Coordinates
  730.    wt: 11:   PS D Addition with Cartesian Coordinates
  731.    wt: 11:   PS B Parallelogram Construction Methods
  732.    wt: 11:   PS A Kite Construction Methods
  733.    wt: 11:   21 Parallelograms
  734.    wt: 11:   15 Triangle Angle Sum is 180 degrees
  735.    wt: 11:   14 Parallel Lines Postulate
  736.    wt: 11:   13 Angle Side Angle Failure
  737.    wt: 11:   12 Side Angle Side Failure
  738.    wt: 11:   11 Triangle Construction Fails
  739.    wt: 11:   10 Dropping a perpendicular to line
  740.    wt: 11:   7 Angle Side Angle
  741.    wt: 11:   5 Side Angle Side
  742.    wt: 11:   4 Side Side Side
  743.    wt: 11:   3 Lengths and Areas on Maps and Plans
  744.    wt: 10:   10 Similarity of Triangles Equivalent of Two Criteria
  745.    wt: 10:   8 Similarity of Triangles and Polygons

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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