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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45 matches:

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

Web Page Search

407 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  3.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  4.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  5.    wt: 3:   3 More and Less Than with Unlike Signs
  6.    wt: 3:   10 Real Number Lengths and Signs
  7.    wt: 3:   2 More and Less Than with Unlike Signs
  8.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  9.    wt: 3:   5 lengths and signs of numbers
  10.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  11.    wt: 3:   B Fractions and Two Term Ratios
  12.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  13.    wt: 3:   21 Working With Signs
  14.    wt: 3:   9 Improper Fractions and Mixed Numbers
  15.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  16.    wt: 2:   Ramblings Extrinsic numbers theory
  17.    wt: 2:   2 arithmetic with signed numbers
  18.    wt: 2:   1 arithmetic with unsigned numbers
  19.    wt: 2:   2 Reading and Writing Skills
  20.    wt: 2:   Ages 12 to 14 Skills with take home value
  21.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  22.    wt: 2:   Vector and Complex Number Applet
  23.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  24.    wt: 2:   14 cosine even and sine and tangent are odd
  25.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  26.    wt: 2:   3 Trigonometric Ratios sine and cosine
  27.    wt: 2:   2 Cartesian Coordinates with signs
  28.    wt: 2:   3 Lengths and Areas on Maps and Plans
  29.    wt: 2:   11 Signed Number Addition and Addition Properties
  30.    wt: 2:   8 Division and Mulplication of Compound Fractions
  31.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  32.    wt: 2:   1 Fractions with Finite Decimal Expansions
  33.    wt: 2:   2 Combing Counts Addition Skills and Principles
  34.    wt: 2:   4 Rates Ratios and Proporitionality
  35.    wt: 2:   2 More and Less Than for Counts and Measures
  36.    wt: 2:   1 Whole and Natural Numbers
  37.    wt: 2:   5 Talking about Numbers and Quantities
  38.    wt: 2:   4 A Brief Story of numbers and algebra
  39.    wt: 2:   1 More and Less Than for Counts and Measures
  40.    wt: 2:   3 Counting with Tables and Trees II
  41.    wt: 2:   2 Counting with Tables and Trees I
  42.    wt: 2:   11 What are real lengths and numbers
  43.    wt: 2:   2 signed and unsigned numbers as coordinates
  44.    wt: 2:   6 Simplification of Fractions with Units
  45.    wt: 2:   4 Fractions with Units
  46.    wt: 2:   3 Multiplying Units and Numbers
  47.    wt: 2:   1 Addition and Subtraction with Units
  48.    wt: 2:   21 Reciprocals for Fractions and Wholes
  49.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  50.    wt: 2:   14 Adding and Subtracting with Like Denominators
  51.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  52.    wt: 2:   Division with Counts and Length
  53.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  54.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  55.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  56.    wt: 2:   8 What skills and work habits to require
  57.    wt: 2:   6. Counting and adding units and mixed units
  58.    wt: 2:   4. How to add with decimals B with conversions
  59.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  60.    wt: 2:   Quick history of numbers and algebra
  61.    wt: 2:   Exact Arithmetic Wholes and Fractions
  62.    wt: 2:   38 Formulas and derivatives for powers and roots
  63.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  64.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  65.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  66.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  67.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  68.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  69.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  70.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  71.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  72.    wt: 2:   L Skills with take home value
  73.    wt: 2:   I. Logic and language skills
  74.    wt: 2:   How to Build Skills and Confidence
  75.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  76.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  77.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  78.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  79.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  80.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  81.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  82.    wt: 1:   Appendix 1 primary and preschool mathematic
  83.    wt: 1:   G LAMP Introduction Problem Solving Skills
  84.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  85.    wt: 1:   Skills Chapter 5 Calculus
  86.    wt: 1:   Skills Chapter 4 Logic
  87.    wt: 1:   Skills Chapter 3 Algebra
  88.    wt: 1:   Skills Chapter 2 Geometry
  89.    wt: 1:   Skills Chapter 1 Arithmetic
  90.    wt: 1:   Skills Chapter 0 Introduction
  91.    wt: 1:   7 logic review and decimals an odd combination
  92.    wt: 1:   5 logarithms and exponentials etc
  93.    wt: 1:   key notes and themes
  94.    wt: 1:   what should be learnt and When
  95.    wt: 1:   the trouble with algebra
  96.    wt: 1:   standards for course material
  97.    wt: 1:   Theory of Knowledge
  98.    wt: 1:   Education in mathematics science and technology
  99.    wt: 1:   Motivation and Context Problem
  100.    wt: 1:   fairness and inductive principles for instruction
  101.    wt: 1:   Home Tutoring and Home Schooling
  102.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  103.    wt: 1:   24 Standards For Skill Develoment Take II
  104.    wt: 1:   24 Standards For Skill Develoment
  105.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  106.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  107.    wt: 1:   17 Math Booklets for children and young teenagers
  108.    wt: 1:   14 Multiplication and Times Tables
  109.    wt: 1:   13 Addition and Addition Tables
  110.    wt: 1:   12 Goals and Objectives For Mathematics
  111.    wt: 1:   11 Help and Defend Your Child or Teens Education
  112.    wt: 1:   5 Patience Please for Yourself and Your Charges
  113.    wt: 1:   4 Learning Takes Time and Effort
  114.    wt: 1:   1 Speaking Skills
  115.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  116.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  117.    wt: 1:   26 Function definitions done and coming
  118.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  119.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  120.    wt: 1:   19 Horizontal line rule and method
  121.    wt: 1:   18 Vertical Line Rule and Method
  122.    wt: 1:   17 Function maxima minima and their location
  123.    wt: 1:   11 Function Domain Range Source and Targets
  124.    wt: 1:   9 Set theory term relation possible origins
  125.    wt: 1:   8 Set view of relations and functions
  126.    wt: 1:   7 Functions with finite domains
  127.    wt: 1:   6 Set Existence Formation and Notation
  128.    wt: 1:   4 Function notation in and beyond mathematics
  129.    wt: 1:   9 quadratics physical and further context
  130.    wt: 1:   11 Growth and Decay in Biology
  131.    wt: 1:   10 Exponential Growth and Decay Models
  132.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  133.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  134.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  135.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  136.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  137.    wt: 1:   16 cotangent function Definition Graph and Inverse
  138.    wt: 1:   15 cosecant function Definition Graph and Inverse
  139.    wt: 1:   14 secant function Definition Graph and Inverse
  140.    wt: 1:   13 cosecant function Definition Graph and Inverse
  141.    wt: 1:   9 Summary Degrees to Radians and back
  142.    wt: 1:   1 Degrees and Radians Introduction
  143.    wt: 1:   A Global Time and Navigation
  144.    wt: 1:   15 Dot and Cross Product
  145.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  146.    wt: 1:   6 Vectors with Coordinates
  147.    wt: 1:   3 Navigation with Arrows or Vectors
  148.    wt: 1:   Parallel Lines and Parallel Transversals
  149.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  150.    wt: 1:   Parallel Lines and Interior Angles
  151.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  152.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  153.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  154.    wt: 1:   29 secant cosecant and cotangent for acute angles
  155.    wt: 1:   27 Logarithmic use of products of sines and cosines
  156.    wt: 1:   26 Formulas for products of sines and cosines
  157.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  158.    wt: 1:   21 sine and cosine Half Angle Formulas
  159.    wt: 1:   20 sine and cosine Double Angle Formulas
  160.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  161.    wt: 1:   17E Trig Formulas for dot and cross Products
  162.    wt: 1:   17D cis formulas for sine cosines and tangent
  163.    wt: 1:   17C sine and cosine double triple angle formulas
  164.    wt: 1:   17A The complex number valued trig function cis
  165.    wt: 1:   10 Graphs of sines and cosines many periods
  166.    wt: 1:   9 Graphs of sine and cosine over one period
  167.    wt: 1:   7 period of sine and cosine
  168.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  169.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  170.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  171.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  172.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  173.    wt: 1:   21 Logarithms Powers and Exponentials
  174.    wt: 1:   20 N th Roots of Complex Numbers
  175.    wt: 1:   16 References and Originality Question
  176.    wt: 1:   13 Trig Formulas for dot and cross Products
  177.    wt: 1:   12 cis formulas for sine cosines and tangent
  178.    wt: 1:   11 sine and cosine double triple angle formulas
  179.    wt: 1:   9 The complex number valued trig function cis
  180.    wt: 1:   6 Field Properties of Complex Number
  181.    wt: 1:   2 Complex Numbers made easier we hope
  182.    wt: 1:   Appetizer A Complex Number Applet
  183.    wt: 1:   7 Trignometric Ratios Unit Circle
  184.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  185.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  186.    wt: 1:   1 Angle Measurement with Degrees
  187.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  188.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  189.    wt: 1:   8 Similarity of Triangles and Polygons
  190.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  191.    wt: 1:   4 Similarity Definition with Coordinate
  192.    wt: 1:   3 Similarity by Design with coordinates
  193.    wt: 1:   10 Midpoint of [a b] and [b a]
  194.    wt: 1:   7 Exercises to test skill and concept mastery
  195.    wt: 1:   1 Numerical view of lines and their equations
  196.    wt: 1:   What is and is not here
  197.    wt: 1:   7 Complex Numbers Appetizer
  198.    wt: 1:   6 Polar Multiplication and Rotation
  199.    wt: 1:   5 Cartesian Addition and Translation
  200.    wt: 1:   4 Polar Coordinates to and from
  201.    wt: 1:   1 Cartesian Coordinates sans signs
  202.    wt: 1:   PS H Distributive Law For Complex Numbers
  203.    wt: 1:   PS E Multiplication with Polar Coordinates
  204.    wt: 1:   PS D Addition with Cartesian Coordinates
  205.    wt: 1:   16 Angles Subtended By Chords and Diameters
  206.    wt: 1:   6 Ruler and compass Angle Bisection
  207.    wt: 1:   1 Initial Concepts and Terms
  208.    wt: 1:   A Measurement with Ruler Proper Use
  209.    wt: 1:   6 Figuring with Maps Not to Scale
  210.    wt: 1:   musings do not puiblish real numbers
  211.    wt: 1:   A Modular and Remainder Arithmetic
  212.    wt: 1:   A Signed Number Arithmetic Review
  213.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  214.    wt: 1:   22 Multiplication of Signed Numbers
  215.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  216.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  217.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  218.    wt: 1:   13 Arrows and Vectors in a Plane
  219.    wt: 1:   12 Real Numbers Line Signed Coordinates
  220.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  221.    wt: 1:   9 Division with Digits after Decimal Point
  222.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  223.    wt: 1:   B Decimal Comparison and Subtraction
  224.    wt: 1:   5 Distributive Law for Whole Numbers
  225.    wt: 1:   3 Multiplicative Counting Skills Principles
  226.    wt: 1:   1 The Counting Origins of Numbers
  227.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  228.    wt: 1:   5 Proportionality in Equivalent Fractions
  229.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  230.    wt: 1:   6 Compound Interest Forward and Backwards
  231.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  232.    wt: 1:   6 Equations and Systems Equivalent or Implied
  233.    wt: 1:   4 Subtraction and Division Axioms
  234.    wt: 1:   2 Addition and Multiplication Axioms
  235.    wt: 1:   5 Greater More Less Than Signs in General
  236.    wt: 1:   4 Comparison of Negative Numbers
  237.    wt: 1:   1 Real Numbers Comparison
  238.    wt: 1:   16 Real Numbers Comparison
  239.    wt: 1:   15 Real Number Division
  240.    wt: 1:   14 Real Number Multiplication
  241.    wt: 1:   13 Real Number Subtraction
  242.    wt: 1:   12 Real Number Additive Inverses or Negatives
  243.    wt: 1:   11 Real Number Addition
  244.    wt: 1:   8 Coordinates for Maps and Planes
  245.    wt: 1:   7 Real Numbers as Line Cordinates
  246.    wt: 1:   6 Unsigned Real Numbers
  247.    wt: 1:   5 Rational Numbers More
  248.    wt: 1:   4 Rational Numbers
  249.    wt: 1:   3 Fractions
  250.    wt: 1:   3 Geometric Formulas and Function Notation
  251.    wt: 1:   1 Formulas Dependence and Function Notation
  252.    wt: 1:   3 GE III Equation Addition and Multiplication
  253.    wt: 1:   2 Essentially one exercises three with solution
  254.    wt: 1:   13 Naming Identifying Formulas with Words
  255.    wt: 1:   1 Written work formats for developing and showing skill
  256.    wt: 1:   9 Sets in Probability and Statistics
  257.    wt: 1:   8 Sets of Numbers
  258.    wt: 1:   3 Counting with Sets etc
  259.    wt: 1:   1 Three Skills For Algebra
  260.    wt: 1:   4 Greater More Less Than Signs in General
  261.    wt: 1:   3 Comparison of Negative Numbers
  262.    wt: 1:   5 Square Roots with primes more still
  263.    wt: 1:   4 Square Roots with primes more
  264.    wt: 1:   3 Properties of Square Roots with example
  265.    wt: 1:   2 Square Roots with Prime
  266.    wt: 1:   1 Squares and Square Roots Introduction
  267.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  268.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  269.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  270.    wt: 1:   7 GCD and LCM from prime factorization
  271.    wt: 1:   4 LCM of 8 and 10 via Prime
  272.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  273.    wt: 1:   4 Counting with Trees Product Rule Take I
  274.    wt: 1:   1 Counting and Counting Methods I
  275.    wt: 1:   10 dividing signed numbers
  276.    wt: 1:   9 subtracting signed numbers
  277.    wt: 1:   8 multiplying signed numbers
  278.    wt: 1:   7 negative and additive inverse
  279.    wt: 1:   6 adding signed numbers
  280.    wt: 1:   3 signed coordinates for maps and planes
  281.    wt: 1:   2 Equality and Units
  282.    wt: 1:   D Three Term Ratios
  283.    wt: 1:   22 Complex Compound Fractions
  284.    wt: 1:   20 Dividing Fractions the Why
  285.    wt: 1:   19 Dividing Fractions How TO
  286.    wt: 1:   17 Efficient Ways to Add and Subtract
  287.    wt: 1:   6 Multiplication of Mixed Numbers
  288.    wt: 1:   5 Equivalent Fractions
  289.    wt: 1:   13 Subtraction with Additive Inverse
  290.    wt: 1:   11 Adding Integers Formulas and Examples
  291.    wt: 1:   8 Multiplication by Signed Numbers Integers
  292.    wt: 1:   7 Multiplication by Signs
  293.    wt: 1:   6 Multiplication by Natural Numbers
  294.    wt: 1:   5 Zero Movement and Additive Inverses
  295.    wt: 1:   3 Adding Movements with same direction
  296.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  297.    wt: 1:   17 Identify and Count Factors using Primes
  298.    wt: 1:   12 LCD GCD and LCM using Primes
  299.    wt: 1:   7 Calculator Usage Notes and Cautions
  300.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  301.    wt: 1:   5 Prime Factorization and a Square Rule
  302.    wt: 1:   3 video Primes and Composites from 9 times table
  303.    wt: 1:   2 Prime and Composites less than 16
  304.    wt: 1:   Long Division forwards and backwards Example 3
  305.    wt: 1:   Long Division forwards and backwards Example 2
  306.    wt: 1:   Long Division forwards and backwards Example 1
  307.    wt: 1:   10 Division by Five Long and Short Ways
  308.    wt: 1:   4 Division with 2 Digit Divsors
  309.    wt: 1:   2 Division with Single Digit Divisors
  310.    wt: 1:   C Counting Areas with Powers of Ten
  311.    wt: 1:   4 Two and Three Digit Multipliers
  312.    wt: 1:   Subtraction with J Conversions Example
  313.    wt: 1:   8 Subtraction with Units of Measure
  314.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  315.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  316.    wt: 1:   7 Adding decimal fractions using decimal point
  317.    wt: 1:   3. How to add with decimals A sans conversions
  318.    wt: 1:   11 Place Value SI Standard International way
  319.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  320.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  321.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  322.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  323.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  324.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  325.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  326.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  327.    wt: 1:   016 Numbering Occidental Calendar Days
  328.    wt: 1:   015 School and work day counting tables
  329.    wt: 1:   014 Counting Days with Calendars
  330.    wt: 1:   011 Division of Time Intervals By Numbers
  331.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  332.    wt: 1:   4 Mixing and Changing Units of Time
  333.    wt: 1:   3 Units and Lengths of Time
  334.    wt: 1:   2 Time and Date Matters in School
  335.    wt: 1:   1 Intro of Kids To Time Date Skills
  336.    wt: 1:   Example 1. Area Between x and x squared
  337.    wt: 1:   Example 4 with x function of y
  338.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  339.    wt: 1:   17 Derivatives of quotients of sine and cosine
  340.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  341.    wt: 1:   15 sine and cosine derivatives 3rd step
  342.    wt: 1:   14 sine and cosine derivatives 2nd step
  343.    wt: 1:   13 sine and cosine derivatives 1st step
  344.    wt: 1:   10 Three one sided limits with infinite values
  345.    wt: 1:   9 Limits Continuity and Composition
  346.    wt: 1:   5 Jumps and absence of unlimited error control
  347.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  348.    wt: 1:   G.5 Motions With Bounded Velocities
  349.    wt: 1:   PostScript For and Against Decimal Perspectives
  350.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  351.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  352.    wt: 1:   Chapter 22 Complex Numbers
  353.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  354.    wt: 1:   Chapter 12. Units and Slopes
  355.    wt: 1:   Chapter 10 Slopes and Units
  356.    wt: 1:   Chapter 7 Slopes and Velocity
  357.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  358.    wt: 1:   Chapter 2. Slopes and Ski Trails
  359.    wt: 1:   Appendix E. How To Study Mathematics and Why
  360.    wt: 1:   Appendix D. What to do in School and Why
  361.    wt: 1:   Chapter 31 Direct and Indirect Reason
  362.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  363.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  364.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  365.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  366.    wt: 1:   Chapter 20. Degrees and Radians
  367.    wt: 1:   Chapter 19. Functions and Sets
  368.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  369.    wt: 1:   Chapter 12. Shorthand Usage Guide
  370.    wt: 1:   Chapter 11. Why Shorthand
  371.    wt: 1:   Chapter 10 Describing and Changing Calculations
  372.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  373.    wt: 1:   Chapter 8 Three Skills For Algebra
  374.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  375.    wt: 1:   Chapter 2 For and Against Mathematics
  376.    wt: 1:   Postscript B More on Story Telling and Reason
  377.    wt: 1:   Chapter 24 Direct and Indirect Reason
  378.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  379.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  380.    wt: 1:   Chapter 18 Sense and Knowledge
  381.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  382.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  383.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  384.    wt: 1:   R Why Learn Mathematics Skills
  385.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  386.    wt: 1:   O On Learning Mathematics and Science
  387.    wt: 1:   N Improving Marks on Tests and Finals
  388.    wt: 1:   J. More on written work and showing skill
  389.    wt: 1:   H Jigsaw puzzles and problem solving
  390.    wt: 1:   G. Written work formats for developing and showing skill
  391.    wt: 1:   E. When and how to correct errors
  392.    wt: 1:   D. Check work a must with a caution
  393.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  394.    wt: 1:   Chapter 8 Skipped Topics and Why
  395.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  396.    wt: 1:   Chapter 6 More Algebra and Geometry
  397.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  398.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  399.    wt: 1:   7 Games and Activities for Instruction
  400.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  401.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  402.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  403.    wt: 1:   Helping the Blind in Logic and Mathematics
  404.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  405.    wt: 1:   More Algebra and Slope based Calculus Preview
  406.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  407.    wt: 1:   The Math Forum and Site Content

Extended Search

737 matches:

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

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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
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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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