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

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

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

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

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

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

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

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

54 matches:

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

Web Page Search

353 matches:

  1.    wt: 4:   3 Lengths and Areas on Maps and Plans
  2.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 3:   3 signed coordinates for maps and planes
  4.    wt: 3:   2 signed and unsigned numbers as coordinates
  5.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  6.    wt: 2:   Maps Plans Drawings
  7.    wt: 2:   chapitre 04 04 Parlons de la logique
  8.    wt: 2:   chapitre 04 01 Premiere enigme
  9.    wt: 2:   sign monoticity analysis example 4
  10.    wt: 2:   sign monoticity analysis example 3
  11.    wt: 2:   sign monoticity analysis example 2
  12.    wt: 2:   sign monoticity analysis example 1
  13.    wt: 2:   15 Sign analysis of functions
  14.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  15.    wt: 2:   14 cosine even and sine and tangent are odd
  16.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  18.    wt: 2:   4 Angles on Maps Plans drawn to scale
  19.    wt: 2:   19 Signed Multiples of Vectors
  20.    wt: 2:   13 Arrows and Vectors in a Plane
  21.    wt: 2:   11 Signed Number Addition and Addition Properties
  22.    wt: 2:   3 More and Less Than with Unlike Signs
  23.    wt: 2:   2 More and Less Than for Counts and Measures
  24.    wt: 2:   10 Real Number Lengths and Signs
  25.    wt: 2:   8 Coordinates for Maps and Planes
  26.    wt: 2:   2 More and Less Than with Unlike Signs
  27.    wt: 2:   1 More and Less Than for Counts and Measures
  28.    wt: 2:   5 lengths and signs of numbers
  29.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  30.    wt: 2:   5 Zero Movement and Additive Inverses
  31.    wt: 2:   6. Counting and adding units and mixed units
  32.    wt: 2:   015 School and work day counting tables
  33.    wt: 2:   38 Formulas and derivatives for powers and roots
  34.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  35.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  36.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  37.    wt: 2:   Chapter 4. More Slope Sign Analysis
  38.    wt: 2:   Chapter 3. Slope Sign Analysis
  39.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  40.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  41.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  42.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  43.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  44.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  45.    wt: 1:   Appendix 2 primary school Arithmetic 01
  46.    wt: 1:   Appendix 1 primary and preschool mathematic
  47.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  48.    wt: 1:   7 logic review and decimals an odd combination
  49.    wt: 1:   5 logarithms and exponentials etc
  50.    wt: 1:   2 arithmetic with signed numbers
  51.    wt: 1:   1 arithmetic with unsigned numbers
  52.    wt: 1:   About site lesson plans
  53.    wt: 1:   key notes and themes
  54.    wt: 1:   what should be learnt and When
  55.    wt: 1:   Postscript 2007 01 10
  56.    wt: 1:   04 29 New Mathematics Curriculum
  57.    wt: 1:   04 25 when to stop or suspend mathemat
  58.    wt: 1:   standards for course material
  59.    wt: 1:   Education in mathematics science and technology
  60.    wt: 1:   Motivation and Context Problem
  61.    wt: 1:   fairness and inductive principles for instruction
  62.    wt: 1:   chapitre 07 01 principle D induction mathematique
  63.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  64.    wt: 1:   chapitre 04 09 Regles accidentelles
  65.    wt: 1:   chapitre 04 08 Limitations et benefices
  66.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  67.    wt: 1:   chapitre 04 06 engagements
  68.    wt: 1:   chapitre 04 05 Implication versus suggestion
  69.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  70.    wt: 1:   chapitre 04 02 Deuxieme enigme
  71.    wt: 1:   chapitre 04 00 Les regles d implication
  72.    wt: 1:   chapitre 01 00 Introduction
  73.    wt: 1:   D Energy Power04
  74.    wt: 1:   A Energy Power01
  75.    wt: 1:   1 Conductance Resistance Duality01
  76.    wt: 1:   F Wire Resistance Calculation04
  77.    wt: 1:   C Wire Resistance Calculation01
  78.    wt: 1:   A Wire Resistance Qualitative01
  79.    wt: 1:   2 Unlike resistors in parallel01
  80.    wt: 1:   G Series Circuit01
  81.    wt: 1:   B Electromotive force conventional current01
  82.    wt: 1:   Home Tutoring and Home Schooling
  83.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  84.    wt: 1:   24 Standards For Skill Develoment Take II
  85.    wt: 1:   24 Standards For Skill Develoment
  86.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  87.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  88.    wt: 1:   17 Math Booklets for children and young teenagers
  89.    wt: 1:   14 Multiplication and Times Tables
  90.    wt: 1:   13 Addition and Addition Tables
  91.    wt: 1:   12 Goals and Objectives For Mathematics
  92.    wt: 1:   11 Help and Defend Your Child or Teens Education
  93.    wt: 1:   5 Patience Please for Yourself and Your Charges
  94.    wt: 1:   4 Learning Takes Time and Effort
  95.    wt: 1:   2 Reading and Writing Skills
  96.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  97.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  98.    wt: 1:   26 Function definitions done and coming
  99.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  100.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  101.    wt: 1:   19 Horizontal line rule and method
  102.    wt: 1:   18 Vertical Line Rule and Method
  103.    wt: 1:   17 Function maxima minima and their location
  104.    wt: 1:   11 Function Domain Range Source and Targets
  105.    wt: 1:   8 Set view of relations and functions
  106.    wt: 1:   6 Set Existence Formation and Notation
  107.    wt: 1:   4 Function notation in and beyond mathematics
  108.    wt: 1:   9 quadratics physical and further context
  109.    wt: 1:   11 Growth and Decay in Biology
  110.    wt: 1:   10 Exponential Growth and Decay Models
  111.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  112.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  113.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  114.    wt: 1:   16 cotangent function Definition Graph and Inverse
  115.    wt: 1:   15 cosecant function Definition Graph and Inverse
  116.    wt: 1:   14 secant function Definition Graph and Inverse
  117.    wt: 1:   13 cosecant function Definition Graph and Inverse
  118.    wt: 1:   9 Summary Degrees to Radians and back
  119.    wt: 1:   1 Degrees and Radians Introduction
  120.    wt: 1:   A Global Time and Navigation
  121.    wt: 1:   15 Dot and Cross Product
  122.    wt: 1:   13 Velocity Vectors in Physics
  123.    wt: 1:   8 Parallel Vectors
  124.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  125.    wt: 1:   6 Vectors with Coordinates
  126.    wt: 1:   3 Navigation with Arrows or Vectors
  127.    wt: 1:   2 Signed Coordinates
  128.    wt: 1:   1 Unsigned Coordinates
  129.    wt: 1:   Vector and Complex Number Applet
  130.    wt: 1:   Parallel Lines and Parallel Transversals
  131.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  132.    wt: 1:   Parallel Lines and Interior Angles
  133.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  134.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  135.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  136.    wt: 1:   29 secant cosecant and cotangent for acute angles
  137.    wt: 1:   27 Logarithmic use of products of sines and cosines
  138.    wt: 1:   26 Formulas for products of sines and cosines
  139.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  140.    wt: 1:   21 sine and cosine Half Angle Formulas
  141.    wt: 1:   20 sine and cosine Double Angle Formulas
  142.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  143.    wt: 1:   17E Trig Formulas for dot and cross Products
  144.    wt: 1:   17D cis formulas for sine cosines and tangent
  145.    wt: 1:   17C sine and cosine double triple angle formulas
  146.    wt: 1:   10 Graphs of sines and cosines many periods
  147.    wt: 1:   9 Graphs of sine and cosine over one period
  148.    wt: 1:   7 period of sine and cosine
  149.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  150.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  151.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  152.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  153.    wt: 1:   Unit Circle Development of Trigonometry
  154.    wt: 1:   21 Logarithms Powers and Exponentials
  155.    wt: 1:   16 References and Originality Question
  156.    wt: 1:   13 Trig Formulas for dot and cross Products
  157.    wt: 1:   12 cis formulas for sine cosines and tangent
  158.    wt: 1:   11 sine and cosine double triple angle formulas
  159.    wt: 1:   8 Unit Circle Development of Trigonometry
  160.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  161.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  162.    wt: 1:   3 Trigonometric Ratios sine and cosine
  163.    wt: 1:   Why Trigonometry the whyslopes view
  164.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  165.    wt: 1:   8 Similarity of Triangles and Polygons
  166.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  167.    wt: 1:   3 Similarity by Design with coordinates
  168.    wt: 1:   2 Similarity By Design
  169.    wt: 1:   10 Midpoint of [a b] and [b a]
  170.    wt: 1:   7 Exercises to test skill and concept mastery
  171.    wt: 1:   1 Numerical view of lines and their equations
  172.    wt: 1:   What is and is not here
  173.    wt: 1:   6 Polar Multiplication and Rotation
  174.    wt: 1:   5 Cartesian Addition and Translation
  175.    wt: 1:   4 Polar Coordinates to and from
  176.    wt: 1:   2 Cartesian Coordinates with signs
  177.    wt: 1:   1 Cartesian Coordinates sans signs
  178.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  179.    wt: 1:   16 Angles Subtended By Chords and Diameters
  180.    wt: 1:   6 Ruler and compass Angle Bisection
  181.    wt: 1:   1 Initial Concepts and Terms
  182.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  183.    wt: 1:   6 Figuring with Maps Not to Scale
  184.    wt: 1:   A Modular and Remainder Arithmetic
  185.    wt: 1:   A Signed Number Arithmetic Review
  186.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  187.    wt: 1:   22 Multiplication of Signed Numbers
  188.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  189.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  190.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  191.    wt: 1:   12 Real Numbers Line Signed Coordinates
  192.    wt: 1:   8 Division and Mulplication of Compound Fractions
  193.    wt: 1:   B Decimal Comparison and Subtraction
  194.    wt: 1:   2 Combing Counts Addition Skills and Principles
  195.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  196.    wt: 1:   4 Rates Ratios and Proporitionality
  197.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  198.    wt: 1:   6 Compound Interest Forward and Backwards
  199.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  200.    wt: 1:   6 Equations and Systems Equivalent or Implied
  201.    wt: 1:   4 Subtraction and Division Axioms
  202.    wt: 1:   2 Addition and Multiplication Axioms
  203.    wt: 1:   5 Greater More Less Than Signs in General
  204.    wt: 1:   6 Unsigned Real Numbers
  205.    wt: 1:   1 Whole and Natural Numbers
  206.    wt: 1:   3 Geometric Formulas and Function Notation
  207.    wt: 1:   1 Formulas Dependence and Function Notation
  208.    wt: 1:   3 GE III Equation Addition and Multiplication
  209.    wt: 1:   1 Proper Equal Sign Usage
  210.    wt: 1:   1 Written work formats for developing and showing skill
  211.    wt: 1:   9 Sets in Probability and Statistics
  212.    wt: 1:   5 Talking about Numbers and Quantities
  213.    wt: 1:   4 A Brief Story of numbers and algebra
  214.    wt: 1:   4 Greater More Less Than Signs in General
  215.    wt: 1:   1 Squares and Square Roots Introduction
  216.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  217.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  218.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  219.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  220.    wt: 1:   7 GCD and LCM from prime factorization
  221.    wt: 1:   4 LCM of 8 and 10 via Prime
  222.    wt: 1:   3 Counting with Tables and Trees II
  223.    wt: 1:   2 Counting with Tables and Trees I
  224.    wt: 1:   1 Counting and Counting Methods I
  225.    wt: 1:   11 What are real lengths and numbers
  226.    wt: 1:   10 dividing signed numbers
  227.    wt: 1:   9 subtracting signed numbers
  228.    wt: 1:   8 multiplying signed numbers
  229.    wt: 1:   7 negative and additive inverse
  230.    wt: 1:   6 adding signed numbers
  231.    wt: 1:   4 signed coordinates for regions in space
  232.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  233.    wt: 1:   3 Multiplying Units and Numbers
  234.    wt: 1:   2 Equality and Units
  235.    wt: 1:   1 Addition and Subtraction with Units
  236.    wt: 1:   B Fractions and Two Term Ratios
  237.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  238.    wt: 1:   21 Working With Signs
  239.    wt: 1:   21 Reciprocals for Fractions and Wholes
  240.    wt: 1:   17 Efficient Ways to Add and Subtract
  241.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  242.    wt: 1:   14 Adding and Subtracting with Like Denominators
  243.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  244.    wt: 1:   9 Improper Fractions and Mixed Numbers
  245.    wt: 1:   11 Adding Integers Formulas and Examples
  246.    wt: 1:   8 Multiplication by Signed Numbers Integers
  247.    wt: 1:   7 Multiplication by Signs
  248.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  249.    wt: 1:   17 Identify and Count Factors using Primes
  250.    wt: 1:   12 LCD GCD and LCM using Primes
  251.    wt: 1:   7 Calculator Usage Notes and Cautions
  252.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  253.    wt: 1:   5 Prime Factorization and a Square Rule
  254.    wt: 1:   3 video Primes and Composites from 9 times table
  255.    wt: 1:   2 Prime and Composites less than 16
  256.    wt: 1:   Division with Counts and Length
  257.    wt: 1:   Long Division forwards and backwards Example 3
  258.    wt: 1:   Long Division forwards and backwards Example 2
  259.    wt: 1:   Long Division forwards and backwards Example 1
  260.    wt: 1:   10 Division by Five Long and Short Ways
  261.    wt: 1:   5 Long Division Include Zeroes or not
  262.    wt: 1:   4 Two and Three Digit Multipliers
  263.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  264.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  265.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  266.    wt: 1:   8 What skills and work habits to require
  267.    wt: 1:   11 Place Value SI Standard International way
  268.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  269.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  270.    wt: 1:   Quick history of numbers and algebra
  271.    wt: 1:   Exact Arithmetic Wholes and Fractions
  272.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  273.    wt: 1:   016 Numbering Occidental Calendar Days
  274.    wt: 1:   014 Counting Days with Calendars
  275.    wt: 1:   013 Travel Time Tables
  276.    wt: 1:   012 Division of Time Intervals by Time Intervals
  277.    wt: 1:   011 Division of Time Intervals By Numbers
  278.    wt: 1:   010 Repeated Addition of Time Intervals
  279.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  280.    wt: 1:   4 Mixing and Changing Units of Time
  281.    wt: 1:   3 Units and Lengths of Time
  282.    wt: 1:   2 Time and Date Matters in School
  283.    wt: 1:   Example 1. Area Between x and x squared
  284.    wt: 1:   17 Derivatives of quotients of sine and cosine
  285.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  286.    wt: 1:   15 sine and cosine derivatives 3rd step
  287.    wt: 1:   14 sine and cosine derivatives 2nd step
  288.    wt: 1:   13 sine and cosine derivatives 1st step
  289.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  290.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  291.    wt: 1:   9 Limits Continuity and Composition
  292.    wt: 1:   5 Jumps and absence of unlimited error control
  293.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  294.    wt: 1:   PostScript For and Against Decimal Perspectives
  295.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  296.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  297.    wt: 1:   Chapter 23 Links To Trigonometry
  298.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  299.    wt: 1:   Chapter 12. Units and Slopes
  300.    wt: 1:   Chapter 10 Slopes and Units
  301.    wt: 1:   Chapter 7 Slopes and Velocity
  302.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  303.    wt: 1:   Chapter 5. Slope Sign Tests
  304.    wt: 1:   Chapter 2. Slopes and Ski Trails
  305.    wt: 1:   Appendix E. How To Study Mathematics and Why
  306.    wt: 1:   Appendix D. What to do in School and Why
  307.    wt: 1:   Chapter 31 Direct and Indirect Reason
  308.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  309.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  310.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  311.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  312.    wt: 1:   Chapter 20. Degrees and Radians
  313.    wt: 1:   Chapter 19. Functions and Sets
  314.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  315.    wt: 1:   Chapter 12. Shorthand Usage Guide
  316.    wt: 1:   Chapter 11. Why Shorthand
  317.    wt: 1:   Chapter 10 Describing and Changing Calculations
  318.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  319.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  320.    wt: 1:   Chapter 2 For and Against Mathematics
  321.    wt: 1:   Postscript B More on Story Telling and Reason
  322.    wt: 1:   Chapter 24 Direct and Indirect Reason
  323.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  324.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  325.    wt: 1:   Chapter 18 Sense and Knowledge
  326.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  327.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  328.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  329.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  330.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  331.    wt: 1:   O On Learning Mathematics and Science
  332.    wt: 1:   N Improving Marks on Tests and Finals
  333.    wt: 1:   J. More on written work and showing skill
  334.    wt: 1:   I. Logic and language skills
  335.    wt: 1:   H Jigsaw puzzles and problem solving
  336.    wt: 1:   G. Written work formats for developing and showing skill
  337.    wt: 1:   E. When and how to correct errors
  338.    wt: 1:   How to Build Skills and Confidence
  339.    wt: 1:   Chapter 8 Skipped Topics and Why
  340.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  341.    wt: 1:   Chapter 6 More Algebra and Geometry
  342.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  343.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  344.    wt: 1:   7 Games and Activities for Instruction
  345.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  346.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  347.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  348.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  349.    wt: 1:   Helping the Blind in Logic and Mathematics
  350.    wt: 1:   More Algebra and Slope based Calculus Preview
  351.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  352.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  353.    wt: 1:   The Math Forum and Site Content

Extended Search

907 matches:

  1.    wt: 9:   1 Degrees and Radians Introduction
  2.    wt: 9:   15 Dot and Cross Product
  3.    wt: 9:   13 Velocity Vectors in Physics
  4.    wt: 9:   4 Resultant of a Sum of Movements
  5.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  6.    wt: 9:   14 cosine even and sine and tangent are odd
  7.    wt: 9:   7 period of sine and cosine
  8.    wt: 9:   4 sines and cosines for reference angle 45 degrees
  9.    wt: 9:   12 Links Lessons elsewhere
  10.    wt: 9:   11 A Partial Summary
  11.    wt: 9:   7 Exercises to test skill and concept mastery
  12.    wt: 9:   What is and is not here
  13.    wt: 9:   4 Polar Coordinates to and from
  14.    wt: 9:   1 Cartesian Coordinates sans signs
  15.    wt: 9:   A Measurement with Ruler Proper Use
  16.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
  17.    wt: 9:   2 Measuring Area Directly
  18.    wt: 9:   4 Greater More Less Than Signs in General
  19.    wt: 8:   9 Summary Degrees to Radians and back
  20.    wt: 8:   A Global Time and Navigation
  21.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  22.    wt: 8:   12 From Applied To Pure Mathematics
  23.    wt: 8:   11 Component Method
  24.    wt: 8:   10 Parallelogram Addition Method
  25.    wt: 8:   8 Parallel Vectors
  26.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  27.    wt: 8:   6 Vectors with Coordinates
  28.    wt: 8:   5 Head To Tail Arrow Addition
  29.    wt: 8:   3 Navigation with Arrows or Vectors
  30.    wt: 8:   2 Signed Coordinates
  31.    wt: 8:   Vector and Complex Number Applet
  32.    wt: 8:   4 graphing y=Asin(x c)
  33.    wt: 8:   1 graphing y=f(x a)
  34.    wt: 8:   Parallel Lines and Parallel Transversals
  35.    wt: 8:   Parallel Lines and Alternating Corresponding Angles
  36.    wt: 8:   Parallel Lines and Interior Angles
  37.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  38.    wt: 8:   Analytic View of Triangle Construction or Line Instersection More
  39.    wt: 8:   Straight Lines ASA Intersection Study More
  40.    wt: 8:   Straight Lines ASA Intersection Study
  41.    wt: 8:   Straight Lines Instersection Solving Equations
  42.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  43.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  44.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  45.    wt: 8:   29 secant cosecant and cotangent for acute angles
  46.    wt: 8:   27 Logarithmic use of products of sines and cosines
  47.    wt: 8:   26 Formulas for products of sines and cosines
  48.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  49.    wt: 8:   21 sine and cosine Half Angle Formulas
  50.    wt: 8:   20 sine and cosine Double Angle Formulas
  51.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  52.    wt: 8:   17E Trig Formulas for dot and cross Products
  53.    wt: 8:   17D cis formulas for sine cosines and tangent
  54.    wt: 8:   17C sine and cosine double triple angle formulas
  55.    wt: 8:   13 Graph of tangent function many periods
  56.    wt: 8:   10 Graphs of sines and cosines many periods
  57.    wt: 8:   9 Graphs of sine and cosine over one period
  58.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  59.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  60.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  61.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  62.    wt: 8:   1 Angle Measurement with Degrees
  63.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  64.    wt: 8:   Four Simple Exercises
  65.    wt: 8:   9 Midpoint Coordinates Half Endpoint Sum
  66.    wt: 8:   8 Mid Point Formula
  67.    wt: 8:   6 Intersection of lines by solving linear systems
  68.    wt: 8:   5 Algebraic View of Slopes
  69.    wt: 8:   3 Slope product for perpendicular lines
  70.    wt: 8:   2 point slope equation for a line
  71.    wt: 8:   1 Initial Concepts and Terms
  72.    wt: 8:   2 More and Less Than with Unlike Signs
  73.    wt: 7:   16 cotangent function Definition Graph and Inverse
  74.    wt: 7:   15 cosecant function Definition Graph and Inverse
  75.    wt: 7:   14 secant function Definition Graph and Inverse
  76.    wt: 7:   13 cosecant function Definition Graph and Inverse
  77.    wt: 7:   9 motivation for name arcsin
  78.    wt: 7:   8 arcsin left inverse of sine Graph
  79.    wt: 7:   7 arcsin left inverse of sine Definition
  80.    wt: 7:   6 Graph of arccos function
  81.    wt: 7:   5 Swapping Coordinates is a reflection
  82.    wt: 7:   4 possible motivation for term arccos
  83.    wt: 7:   3 Left Inverse of cosine arccos definition
  84.    wt: 7:   2 cosine function more properties
  85.    wt: 7:   1 cosine function properties
  86.    wt: 7:   8 Radian Measures of Common Angles
  87.    wt: 7:   7 Radian Measures in special Triangles
  88.    wt: 7:   6 Radian Measure to Degrees
  89.    wt: 7:   5 Degrees to Radian Measure
  90.    wt: 7:   4 Circle Sector Area proportional to Central Angle
  91.    wt: 7:   3 Circle Arclengh Proportional to Central Angle
  92.    wt: 7:   2 Radian Measure Numerical Value of one degree
  93.    wt: 7:   9 Head to Tail Coordinate View
  94.    wt: 7:   3 graphing y=f(x c) plus K
  95.    wt: 7:   2 Graphing y=Af(x) Vertical Scaling
  96.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  97.    wt: 7:   Triangle Angles Sum To 180 Degrees
  98.    wt: 7:   Straight Lines Intersection of
  99.    wt: 7:   1 Straight Lines Slope Concept
  100.    wt: 7:   32 seven rows of pascals triangle
  101.    wt: 7:   31 basic secant cosecant cotangent trig identities
  102.    wt: 7:   30 unit circle calculation of six trigonometric functions
  103.    wt: 7:   28 Expressing products of sines cosines as sums
  104.    wt: 7:   25 tangent double angle formula Slope connection
  105.    wt: 7:   24 tangent Angle Difference Formula
  106.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  107.    wt: 7:   18 sum of sinusoidal waves as a single wave
  108.    wt: 7:   17G Pythagorean Theorem Converse
  109.    wt: 7:   17F Law of cosines
  110.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  111.    wt: 7:   17A The complex number valued trig function cis
  112.    wt: 7:   16 Right Triangle Complementary Angle Relations
  113.    wt: 7:   15 sine cosine Complementary Angle Relations
  114.    wt: 7:   12 Graph of tangent function for one period
  115.    wt: 7:   11 tangent function undefined when terminal side vertical
  116.    wt: 7:   8 period of tangent function
  117.    wt: 7:   Unit Circle Development of Trigonometry
  118.    wt: 7:   16 References and Originality Question
  119.    wt: 7:   13 Trig Formulas for dot and cross Products
  120.    wt: 7:   12 cis formulas for sine cosines and tangent
  121.    wt: 7:   11 sine and cosine double triple angle formulas
  122.    wt: 7:   4 Multiplication Properties
  123.    wt: 7:   1 Rectangular Polar Coordinates Review
  124.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  125.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  126.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  127.    wt: 7:   3 Trigonometric Ratios sine and cosine
  128.    wt: 7:   Why Trigonometry the whyslopes view
  129.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  130.    wt: 7:   13 Pythagorean spatial distance formulas
  131.    wt: 7:   12 Spatial Coordinates
  132.    wt: 7:   11 Triangle Inequality
  133.    wt: 7:   10 Pythagorean plane distance formula
  134.    wt: 7:   6 Polar Multiplication and Rotation
  135.    wt: 7:   5 Cartesian Addition and Translation
  136.    wt: 7:   2 Cartesian Coordinates with signs
  137.    wt: 7:   16 Angles Subtended By Chords and Diameters
  138.    wt: 7:   4 Side Side Side
  139.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  140.    wt: 7:   7 GCD and LCM from prime factorization
  141.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  142.    wt: 7:   11 Place Value SI Standard International way
  143.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  144.    wt: 6:   12 motivation for term arctan
  145.    wt: 6:   11 arctan left inverse of tangent Graph
  146.    wt: 6:   10 arctan left inverse of tangent Definition
  147.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  148.    wt: 6:   C Straight Lines Slope from Coordinates
  149.    wt: 6:   B Straight Line Slope Scaling Properties More
  150.    wt: 6:   A Straight Line Slope Scaling Properties
  151.    wt: 6:   14 Straight Lines Equations General Case
  152.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  153.    wt: 6:   12 Straight Lines Graphing mx plus b
  154.    wt: 6:   11 Straight Lines Graphing y=mx
  155.    wt: 6:   10 Straight Lines through Origin Equations More
  156.    wt: 6:   9 Straight Lines through Origin Equations
  157.    wt: 6:   8 Straight Lines Equation for vertical
  158.    wt: 6:   7 Tangent Function is odd on this domain
  159.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  160.    wt: 6:   5 Tangent Function Graph
  161.    wt: 6:   4 Tangent Function Properties
  162.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  163.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  164.    wt: 6:   17 tangent function angle sum formulas
  165.    wt: 6:   2 Quadrant I reference Angles
  166.    wt: 6:   1 Unit Points Reflections Rotations
  167.    wt: 6:   21 Logarithms Powers and Exponentials
  168.    wt: 6:   19 N th Roots of Unity
  169.    wt: 6:   18 Sixth Roots of Unity
  170.    wt: 6:   17 Cube Roots of unity
  171.    wt: 6:   15 Pythagorean Theorem Converse
  172.    wt: 6:   14 Law of cosines
  173.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  174.    wt: 6:   8 Unit Circle Development of Trigonometry
  175.    wt: 6:   8 Triangles Cascade Problem Solving
  176.    wt: 6:   7 Trignometric Ratios Unit Circle
  177.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  178.    wt: 6:   12 Triangles Similarity More Problems
  179.    wt: 6:   11 Triangle Similarity Missing Side Problem
  180.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  181.    wt: 6:   8 Similarity of Triangles and Polygons
  182.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  183.    wt: 6:   4 Similarity Definition with Coordinate
  184.    wt: 6:   3 Similarity by Design with coordinates
  185.    wt: 6:   2 Similarity By Design
  186.    wt: 6:   1 Early Concept of Like or Similar Shapes
  187.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  188.    wt: 6:   8 Distance Between Points on a Line
  189.    wt: 6:   7 Complex Numbers Appetizer
  190.    wt: 6:   3 Rectangular Coordinates Review
  191.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  192.    wt: 6:   19 Right Triangle Similarity
  193.    wt: 6:   18 Triangle Similarity Take 1
  194.    wt: 6:   17 Right Bisectors of Triangle Sides
  195.    wt: 6:   15 Triangle Angle Sum is 180 degrees
  196.    wt: 6:   14 Parallel Lines Postulate
  197.    wt: 6:   13 Angle Side Angle Failure
  198.    wt: 6:   12 Side Angle Side Failure
  199.    wt: 6:   11 Triangle Construction Fails
  200.    wt: 6:   10 Dropping a perpendicular to line
  201.    wt: 6:   6 Ruler and compass Angle Bisection
  202.    wt: 6:   3 Comparison of Negative Numbers
  203.    wt: 6:   1 Squares and Square Roots Introduction
  204.    wt: 6:   17 GCD LCM of 85 and 60 via Prime
  205.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  206.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  207.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  208.    wt: 6:   4 LCM of 8 and 10 via Prime
  209.    wt: 6:   11 What are real lengths and numbers
  210.    wt: 6:   10 dividing signed numbers
  211.    wt: 6:   4 signed coordinates for regions in space
  212.    wt: 6:   3 signed coordinates for maps and planes
  213.    wt: 6:   2 signed and unsigned numbers as coordinates
  214.    wt: 6:   A Decimals Modular and Remainder Arithmetic
  215.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  216.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  217.    wt: 6:   23 Remainder Arithmetic Modulo 2
  218.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  219.    wt: 6:   21 Remainder Arithmetic Modulo 3
  220.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  221.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  222.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  223.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  224.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  225.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  226.    wt: 6:   6. Counting and adding units and mixed units
  227.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  228.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  229.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  230.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  231.    wt: 6:   5 Interpreting and Drawing Maps and Plans.
  232.    wt: 5:   15 Sign analysis of functions
  233.    wt: 5:   20 N th Roots of Complex Numbers
  234.    wt: 5:   9 The complex number valued trig function cis
  235.    wt: 5:   7 Second Way to Calculate Products
  236.    wt: 5:   6 Field Properties of Complex Number
  237.    wt: 5:   5 An Easy Proof of the Distributive Law
  238.    wt: 5:   3 Addition Properties
  239.    wt: 5:   2 Complex Numbers made easier we hope
  240.    wt: 5:   Appetizer A Complex Number Applet
  241.    wt: 5:   9 Similarity of Triangles Usual Criteria
  242.    wt: 5:   7 Translations Rotations Reflections Dilatations
  243.    wt: 5:   6 Geometric Diagrams in Class
  244.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  245.    wt: 5:   PS H Distributive Law For Complex Numbers
  246.    wt: 5:   PS G Rotation Distributes over Addition
  247.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  248.    wt: 5:   PS E Multiplication with Polar Coordinates
  249.    wt: 5:   PS D Addition with Cartesian Coordinates
  250.    wt: 5:   PS B Parallelogram Construction Methods
  251.    wt: 5:   PS A Kite Construction Methods
  252.    wt: 5:   21 Parallelograms
  253.    wt: 5:   9 Construction of a right bisector
  254.    wt: 5:   8 Isoceles Triangles
  255.    wt: 5:   7 Angle Side Angle
  256.    wt: 5:   5 Side Angle Side
  257.    wt: 5:   3 Isometry of Triangles Congruence
  258.    wt: 5:   2 Correspondence between Triangles
  259.    wt: 5:   Short Course on Euclidean Geometry
  260.    wt: 5:   About Folder Contents
  261.    wt: 5:   1 Formulas Dependence and Function Notation
  262.    wt: 5:   5 Square Roots with primes more still
  263.    wt: 5:   4 Square Roots with primes more
  264.    wt: 5:   3 Properties of Square Roots with example
  265.    wt: 5:   2 Square Roots with Prime
  266.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  267.    wt: 5:   13 GCD from given Prime Factorization
  268.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  269.    wt: 5:   8 GCD from Euclidean Algorithm
  270.    wt: 5:   6 GCD from Prime
  271.    wt: 5:   5 Common Divisors 60 45 via Prime
  272.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  273.    wt: 5:   2 Least Common Multiple LCM intro via list method
  274.    wt: 5:   1 Least Common Multiples LCM Introduction
  275.    wt: 5:   12 GCD 2700 288 via Prime
  276.    wt: 5:   5 lengths and signs of numbers
  277.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  278.    wt: 5:   3 Multiplying Units and Numbers
  279.    wt: 5:   2 Equality and Units
  280.    wt: 5:   1 Addition and Subtraction with Units
  281.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  282.    wt: 5:   17 Efficient Ways to Add and Subtract
  283.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  284.    wt: 5:   26 Divisibility by 2 3 5 Example
  285.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  286.    wt: 5:   14 Remainder Arithmetic Modulo 9 Example
  287.    wt: 5:   13 Remainder Arithmetic Modulo 5 Example
  288.    wt: 5:   12 Remainder Arithmetic Modulo 10 Example
  289.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  290.    wt: 5:   10 Remainder Arithmetic Long Division by 5 Quickly
  291.    wt: 5:   9 Remainder Arithmetic Divisibility by 5
  292.    wt: 5:   8 Remainder Arithmetic Morulo 5 Examples II
  293.    wt: 5:   7 Remainder Arithmetic Modulo 5 Examples I
  294.    wt: 5:   6 Remainder Arithmetic Modulo 5 Propertie
  295.    wt: 5:   5 Remainder Arithmetic Modulo 5
  296.    wt: 5:   4 Remainder Arithmetic Modulo 10 in general
  297.    wt: 5:   3 Remainder Arithmetic Modulos 10 more still
  298.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  299.    wt: 5:   1 Remainder Arithmetic Modulo 10
  300.    wt: 5:   10 Division by Five Long and Short Ways
  301.    wt: 5:   4 Division with 2 Digit Divsors
  302.    wt: 5:   1 Divsion Physical Examples
  303.    wt: 5:   4 Two and Three Digit Multipliers
  304.    wt: 5:   8 What skills and work habits to require
  305.    wt: 5:   4. How to add with decimals B with conversions
  306.    wt: 5:   1. Explaining Addition Table
  307.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  308.    wt: 5:   11 Limits at infinity Three Examples
  309.    wt: 5:   10 Three one sided limits with infinite values
  310.    wt: 5:   9 Limits Continuity and Composition
  311.    wt: 5:   1 Numerical introduction
  312.    wt: 4:   sign monoticity analysis example 4
  313.    wt: 4:   sign monoticity analysis example 3
  314.    wt: 4:   sign monoticity analysis example 2
  315.    wt: 4:   sign monoticity analysis example 1
  316.    wt: 4:   19 Horizontal line rule and method
  317.    wt: 4:   18 Vertical Line Rule and Method
  318.    wt: 4:   17 Function maxima minima and their location
  319.    wt: 4:   11 Function Domain Range Source and Targets
  320.    wt: 4:   4 Function notation in and beyond mathematics
  321.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  322.    wt: 4:   4 Rates Ratios and Proporitionality
  323.    wt: 4:   4 Changing Letters
  324.    wt: 4:   3 Geometric Formulas and Function Notation
  325.    wt: 4:   4 Two Examples
  326.    wt: 4:   3 Counting with Tables and Trees II
  327.    wt: 4:   2 Counting with Tables and Trees I
  328.    wt: 4:   1 Counting and Counting Methods I
  329.    wt: 4:   9 subtracting signed numbers
  330.    wt: 4:   8 multiplying signed numbers
  331.    wt: 4:   7 negative and additive inverse
  332.    wt: 4:   6 adding signed numbers
  333.    wt: 4:   7 Converting or Changing Units
  334.    wt: 4:   6 Simplification of Fractions with Units
  335.    wt: 4:   4 Fractions with Units
  336.    wt: 4:   B Fractions and Two Term Ratios
  337.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  338.    wt: 4:   21 Working With Signs
  339.    wt: 4:   21 Reciprocals for Fractions and Wholes
  340.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  341.    wt: 4:   14 Adding and Subtracting with Like Denominators
  342.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  343.    wt: 4:   9 Improper Fractions and Mixed Numbers
  344.    wt: 4:   4 Fraction Multiplication
  345.    wt: 4:   1 What is a fraction Take II
  346.    wt: 4:   1 What is a fraction
  347.    wt: 4:   11 Adding Integers Formulas and Examples
  348.    wt: 4:   5 Zero Movement and Additive Inverses
  349.    wt: 4:   4 Adding Movements wiht opposite directions
  350.    wt: 4:   1 Integers as Coordinates
  351.    wt: 4:   17 Identify and Count Factors using Primes
  352.    wt: 4:   12 LCD GCD and LCM using Primes
  353.    wt: 4:   4 video Prime Factorization Introduction
  354.    wt: 4:   1 video how Products are bigger than factor
  355.    wt: 4:   Division with Counts and Length
  356.    wt: 4:   Long Division forwards and backwards Example 3
  357.    wt: 4:   Long Division forwards and backwards Example 2
  358.    wt: 4:   Long Division forwards and backwards Example 1
  359.    wt: 4:   12 Why Long Division Works Take III
  360.    wt: 4:   11 Another Single Digit Divisor Example
  361.    wt: 4:   5 Long Division Include Zeroes or not
  362.    wt: 4:   1 Why 3 times 5 gives 15
  363.    wt: 4:   Subtraction with J Conversions Example
  364.    wt: 4:   Subtraction Another Video Lesson
  365.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  366.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  367.    wt: 4:   7 Adding decimal fractions using decimal point
  368.    wt: 4:   5. How to add decimals C. Examples
  369.    wt: 4:   3. How to add with decimals A sans conversions
  370.    wt: 4:   2 Decimal Counting Practices
  371.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  372.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  373.    wt: 4:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  374.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  375.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  376.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  377.    wt: 4:   5 Jumps and absence of unlimited error control
  378.    wt: 4:   4 Numerical properties
  379.    wt: 4:   Primary and Secondary Skills and Practices with Take Home Value
  380.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  381.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  382.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  383.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  384.    wt: 4:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  385.    wt: 3:   1 Conductance Resistance Duality01
  386.    wt: 3:   4 Learning Takes Time and Effort
  387.    wt: 3:   16 Increasing or decreasing on intervals
  388.    wt: 3:   14 Surjections Injections Bijections
  389.    wt: 3:   13 From one to one to many to one
  390.    wt: 3:   12 Function Domain Recognition Exercises
  391.    wt: 3:   10 Interval Notation
  392.    wt: 3:   1 Geometric Introduction of Function Notation
  393.    wt: 3:   11 Growth and Decay in Biology
  394.    wt: 3:   10 Exponential Growth and Decay Models
  395.    wt: 3:   19 Signed Multiples of Vectors
  396.    wt: 3:   13 Arrows and Vectors in a Plane
  397.    wt: 3:   11 Signed Number Addition and Addition Properties
  398.    wt: 3:   4 Commutative Law Groups Counting Form
  399.    wt: 3:   1 The Counting Origins of Numbers
  400.    wt: 3:   4 Fraction Operations Axiomatic Development
  401.    wt: 3:   1 What is Proportionality
  402.    wt: 3:   4 Subtraction and Division Axioms
  403.    wt: 3:   3 More and Less Than with Unlike Signs
  404.    wt: 3:   2 More and Less Than for Counts and Measures
  405.    wt: 3:   10 Real Number Lengths and Signs
  406.    wt: 3:   8 Coordinates for Maps and Planes
  407.    wt: 3:   5 Independent versus Dependent Variables
  408.    wt: 3:   2 Computation Rules Evaluation
  409.    wt: 3:   4 GE III Animated Examples
  410.    wt: 3:   1 GE Substitution four examples
  411.    wt: 3:   1 Proper Equal Sign Usage
  412.    wt: 3:   10 One Example
  413.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  414.    wt: 3:   4 A Brief Story of numbers and algebra
  415.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  416.    wt: 3:   4 Counting with Trees Product Rule Take I
  417.    wt: 3:   D Three Term Ratios
  418.    wt: 3:   22 Complex Compound Fractions
  419.    wt: 3:   20 Dividing Fractions the Why
  420.    wt: 3:   19 Dividing Fractions How TO
  421.    wt: 3:   18 Efficient Ways to Multiply
  422.    wt: 3:   16 Addition Subtraction Comparision Compared
  423.    wt: 3:   13 Fraction Comparison Algebraic View
  424.    wt: 3:   12 Fraction Comparison
  425.    wt: 3:   11 Simplification an Algebraic View
  426.    wt: 3:   8 Numerals Fractionals Quantals Take II
  427.    wt: 3:   7 Numerals Fractionals Quantals
  428.    wt: 3:   6 Multiplication of Mixed Numbers
  429.    wt: 3:   6 Multiplication Algebraically Take II
  430.    wt: 3:   5 Equivalent Fractions
  431.    wt: 3:   3 Unit fraction of a fraction
  432.    wt: 3:   2 Unit Fraction Multiplication
  433.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  434.    wt: 3:   13 Subtraction with Additive Inverse
  435.    wt: 3:   12 Adding Integers More Examples
  436.    wt: 3:   10 Integer Multiplication Formulas
  437.    wt: 3:   8 Multiplication by Signed Numbers Integers
  438.    wt: 3:   7 Multiplication by Signs
  439.    wt: 3:   19 video Prime Factorization Unique
  440.    wt: 3:   18 video Count Factors given Prime Factorization
  441.    wt: 3:   16 video Factors of 980 using prime
  442.    wt: 3:   15 video Factors of 20 using Prime Factorization
  443.    wt: 3:   14 video Factors of 24 Take II
  444.    wt: 3:   13 video Factors of 24 using prime
  445.    wt: 3:   11 Efficient Square Rule Use
  446.    wt: 3:   10 video Prime Factorization upto 23 squared
  447.    wt: 3:   7 Calculator Usage Notes and Cautions
  448.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  449.    wt: 3:   5 Prime Factorization and a Square Rule
  450.    wt: 3:   3 video Primes and Composites from 9 times table
  451.    wt: 3:   2 Prime and Composites less than 16
  452.    wt: 3:   Long Division Backwards more
  453.    wt: 3:   Long Division Backward
  454.    wt: 3:   9 Why Long Division Works Take II
  455.    wt: 3:   8 Correcting the Mistake
  456.    wt: 3:   7 Long Divison Mistake Catching
  457.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  458.    wt: 3:   3 Division Single Digit Divisor Example
  459.    wt: 3:   2 Division with Single Digit Divisors
  460.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  461.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  462.    wt: 3:   Video Power Notation in Decimal Expansion
  463.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  464.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  465.    wt: 3:   9 22 Minute Subtraction Review Video
  466.    wt: 3:   8 Subtraction with Units of Measure
  467.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  468.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  469.    wt: 3:   5 A Tip for Efficent Subtraction
  470.    wt: 3:   2 Subtraction Easy Case Examples
  471.    wt: 3:   Quick history of numbers and algebra
  472.    wt: 3:   Exact Arithmetic Wholes and Fractions
  473.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  474.    wt: 3:   015 School and work day counting tables
  475.    wt: 3:   Example 1. Area Between x and x squared
  476.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  477.    wt: 3:   Area Between Crossing Curves Lesson Take 1
  478.    wt: 3:   Area Between Curves Lesson Take 2
  479.    wt: 3:   Area Between Curves Lesson Take 1
  480.    wt: 3:   14 sine and cosine derivatives 2nd step
  481.    wt: 3:   13 sine and cosine derivatives 1st step
  482.    wt: 3:   8 Four Animated Examples
  483.    wt: 3:   7 Evaluation by immediate or delayed substitution
  484.    wt: 3:   6 Continuity at a point
  485.    wt: 3:   3 Decimal insights for limits continuity convergence
  486.    wt: 3:   2 Algebraic codification
  487.    wt: 3:   Chapter 4. More Slope Sign Analysis
  488.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  489.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  490.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  491.    wt: 3:   7 Games and Activities for Instruction
  492.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  493.    wt: 2:   10 statistics
  494.    wt: 2:   1 arithmetic with unsigned numbers
  495.    wt: 2:   key notes and themes
  496.    wt: 2:   Maps Plans Drawings
  497.    wt: 2:   04 29 New Mathematics Curriculum
  498.    wt: 2:   04 25 when to stop or suspend mathemat
  499.    wt: 2:   Education in mathematics science and technology
  500.    wt: 2:   chapitre 04 04 Parlons de la logique
  501.    wt: 2:   chapitre 04 01 Premiere enigme
  502.    wt: 2:   F Wire Resistance Calculation04
  503.    wt: 2:   C Wire Resistance Calculation01
  504.    wt: 2:   A Wire Resistance Qualitative01
  505.    wt: 2:   2 Unlike resistors in parallel01
  506.    wt: 2:   1 Like resistors in series
  507.    wt: 2:   Home Tutoring and Home Schooling
  508.    wt: 2:   17 Math Booklets for children and young teenagers
  509.    wt: 2:   14 Multiplication and Times Tables
  510.    wt: 2:   13 Addition and Addition Tables
  511.    wt: 2:   12 Goals and Objectives For Mathematics
  512.    wt: 2:   11 Help and Defend Your Child or Teens Education
  513.    wt: 2:   1 Speaking Skills
  514.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  515.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  516.    wt: 2:   26 Function definitions done and coming
  517.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  518.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  519.    wt: 2:   8 Set view of relations and functions
  520.    wt: 2:   6 Set Existence Formation and Notation
  521.    wt: 2:   1 Calculator Starter Exercises
  522.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  523.    wt: 2:   4 Polynomials Long division linear divisor
  524.    wt: 2:   1 Polynomials Distributive Law
  525.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  526.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  527.    wt: 2:   12 Real Numbers Line Signed Coordinates
  528.    wt: 2:   8 Division and Mulplication of Compound Fractions
  529.    wt: 2:   4 Location of Point in Decimal Addition
  530.    wt: 2:   1 Fractions with Finite Decimal Expansions
  531.    wt: 2:   B Decimal Comparison and Subtraction
  532.    wt: 2:   2 Combing Counts Addition Skills and Principles
  533.    wt: 2:   5 Areas of Rectangles Revisited
  534.    wt: 2:   3 Inequalities Algebraically
  535.    wt: 2:   2 Fraction Operations Physical Development
  536.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  537.    wt: 2:   6 Equations and Systems Equivalent or Implied
  538.    wt: 2:   2 Addition and Multiplication Axioms
  539.    wt: 2:   1 Equivalent Computation Rules
  540.    wt: 2:   5 Greater More Less Than Signs in General
  541.    wt: 2:   4 Comparison of Negative Numbers
  542.    wt: 2:   1 Real Numbers Comparison
  543.    wt: 2:   6 Unsigned Real Numbers
  544.    wt: 2:   1 Whole and Natural Numbers
  545.    wt: 2:   3 GE III Equation Addition and Multiplication
  546.    wt: 2:   4 Solving a triangular system exercise
  547.    wt: 2:   1 Essentially One Unknown
  548.    wt: 2:   4 Four Examples Fractional Coefficients
  549.    wt: 2:   Skill Development Notes
  550.    wt: 2:   9 Three Examples
  551.    wt: 2:   8 One Example
  552.    wt: 2:   7 Two Examples
  553.    wt: 2:   6 Three Examples
  554.    wt: 2:   5 Three Examples
  555.    wt: 2:   3 Two Examples
  556.    wt: 2:   2 Three Examples
  557.    wt: 2:   1 Written work formats for developing and showing skill
  558.    wt: 2:   9 Sets in Probability and Statistics
  559.    wt: 2:   4 Subset Builder Notation
  560.    wt: 2:   1 Finite Sets
  561.    wt: 2:   5 Talking about Numbers and Quantities
  562.    wt: 2:   1 Three Skills For Algebra
  563.    wt: 2:   arithmetic videos Real Player Format
  564.    wt: 2:   D Remainders Modulo 11 Pair Rule
  565.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  566.    wt: 2:   B Integer Long Division Multiple Choices
  567.    wt: 2:   A Associative Law Theorectical Note
  568.    wt: 2:   9 Multiplying Integers
  569.    wt: 2:   6 Multiplication by Natural Numbers
  570.    wt: 2:   3 Adding Movements with same direction
  571.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  572.    wt: 2:   20 Uniqueness of Prime Factorization
  573.    wt: 2:   9 video Prime Factorization upto 19 squared
  574.    wt: 2:   8 video Prime Factorization upto 19
  575.    wt: 2:   D Decimal Multiplication Methods Derived
  576.    wt: 2:   C Counting Areas with Powers of Ten
  577.    wt: 2:   B Powers of Ten
  578.    wt: 2:   A Elementary Basis for Multiplication Methods
  579.    wt: 2:   6 Multiplication Commutes Order Not Important
  580.    wt: 2:   5 Decimal Fraction Multiplication
  581.    wt: 2:   3 More One Digit Multipliers
  582.    wt: 2:   2 One Digit Multipliers
  583.    wt: 2:   Formula Evaluation how to show work
  584.    wt: 2:   Expression Evaluation how to show work
  585.    wt: 2:   The 20 Times Table
  586.    wt: 2:   The 12 Times Table Visually
  587.    wt: 2:   About folder contents
  588.    wt: 2:   016 Numbering Occidental Calendar Days
  589.    wt: 2:   014 Counting Days with Calendars
  590.    wt: 2:   013 Travel Time Tables
  591.    wt: 2:   012 Division of Time Intervals by Time Intervals
  592.    wt: 2:   011 Division of Time Intervals By Numbers
  593.    wt: 2:   010 Repeated Addition of Time Intervals
  594.    wt: 2:   4 Mixing and Changing Units of Time
  595.    wt: 2:   Example 2 volume of a cone
  596.    wt: 2:   Example 1 volume of a pyramid
  597.    wt: 2:   Volume of Solid by Cross Sections Lesson
  598.    wt: 2:   Example 4 with x function of y
  599.    wt: 2:   Example 3
  600.    wt: 2:   Example 2
  601.    wt: 2:   Example 1
  602.    wt: 2:   Summary
  603.    wt: 2:   A Related Material in Volume 3
  604.    wt: 2:   4 Definite Integrals Evaluation Exercises
  605.    wt: 2:   2 Indefinite Integrals Exercises
  606.    wt: 2:   1 Chain Rule in Reverse Integration Method
  607.    wt: 2:   4 Second derivative test exercise example
  608.    wt: 2:   3 Second derivative test
  609.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  610.    wt: 2:   38 Formulas and derivatives for powers and roots
  611.    wt: 2:   17 Derivatives of quotients of sine and cosine
  612.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  613.    wt: 2:   15 sine and cosine derivatives 3rd step
  614.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  615.    wt: 2:   PostScript For and Against Decimal Perspectives
  616.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  617.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  618.    wt: 2:   Chapter 3. Slope Sign Analysis
  619.    wt: 2:   Appendix E. How To Study Mathematics and Why
  620.    wt: 2:   Appendix D. What to do in School and Why
  621.    wt: 2:   Chapter 31 Direct and Indirect Reason
  622.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  623.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  624.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  625.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  626.    wt: 2:   Chapter 20. Degrees and Radians
  627.    wt: 2:   Chapter 19. Functions and Sets
  628.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  629.    wt: 2:   Chapter 12. Shorthand Usage Guide
  630.    wt: 2:   Chapter 11. Why Shorthand
  631.    wt: 2:   Chapter 10 Describing and Changing Calculations
  632.    wt: 2:   Solutions For Arithmetic Exercises
  633.    wt: 2:   Chapter 4 Longer Chains of Reason
  634.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  635.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  636.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  637.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  638.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  639.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  640.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  641.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  642.    wt: 2:   O On Learning Mathematics and Science
  643.    wt: 2:   N Improving Marks on Tests and Finals
  644.    wt: 2:   J. More on written work and showing skill
  645.    wt: 2:   I. Logic and language skills
  646.    wt: 2:   H Jigsaw puzzles and problem solving
  647.    wt: 2:   G. Written work formats for developing and showing skill
  648.    wt: 2:   E. When and how to correct errors
  649.    wt: 2:   D. Check work a must with a caution
  650.    wt: 2:   A. Skill has to be seen to believed
  651.    wt: 2:   How to Build Skills and Confidence
  652.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  653.    wt: 2:   Chapter 8 Skipped Topics and Why
  654.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  655.    wt: 2:   Chapter 6 More Algebra and Geometry
  656.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  657.    wt: 2:   Chapter 1 Arithmetic
  658.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  659.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  660.    wt: 1:   Appendix 2 primary school Arithmetic 01
  661.    wt: 1:   Appendix 1 primary and preschool mathematic
  662.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  663.    wt: 1:   Skills Chapter 5 Calculus
  664.    wt: 1:   Skills Chapter 4 Logic
  665.    wt: 1:   Ramblings Extrinsic numbers theory
  666.    wt: 1:   Ramblings Introduction Algebra Essay
  667.    wt: 1:   Skills Chapter 3 Algebra
  668.    wt: 1:   Skills Chapter 2 Geometry
  669.    wt: 1:   Skills Chapter 1 Arithmetic
  670.    wt: 1:   Skills Chapter 0 Introduction
  671.    wt: 1:   11 pure mathematics
  672.    wt: 1:   7 logic review and decimals an odd combination
  673.    wt: 1:   5 logarithms and exponentials etc
  674.    wt: 1:   4 algebra
  675.    wt: 1:   2 arithmetic with signed numbers
  676.    wt: 1:   which way to go
  677.    wt: 1:   Teach the teachers plus goals
  678.    wt: 1:   activities for students
  679.    wt: 1:   site eurekas
  680.    wt: 1:   About site lesson plans
  681.    wt: 1:   Mathematics Education Professors
  682.    wt: 1:   what should be learnt and When
  683.    wt: 1:   Postscript 2007 01 10
  684.    wt: 1:   five decades make a difference
  685.    wt: 1:   geometric implications for algebra
  686.    wt: 1:   05 13 OldSiteEntrancePage
  687.    wt: 1:   02 21 words for teachers
  688.    wt: 1:   02 20 mathematics education references
  689.    wt: 1:   three aims for mathematics students
  690.    wt: 1:   standards for course material
  691.    wt: 1:   cultivating intelligence
  692.    wt: 1:   Four ways to improve education reform
  693.    wt: 1:   Motivation and Context Problem
  694.    wt: 1:   Leaner mathematics curriculum
  695.    wt: 1:   fairness and inductive principles for instruction
  696.    wt: 1:   chapitre 07 01 principle D induction mathematique
  697.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  698.    wt: 1:   chapitre 04 09 Regles accidentelles
  699.    wt: 1:   chapitre 04 08 Limitations et benefices
  700.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  701.    wt: 1:   chapitre 04 06 engagements
  702.    wt: 1:   chapitre 04 05 Implication versus suggestion
  703.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  704.    wt: 1:   chapitre 04 02 Deuxieme enigme
  705.    wt: 1:   chapitre 04 00 Les regles d implication
  706.    wt: 1:   chapitre 01 00 Introduction
  707.    wt: 1:   problemes responses
  708.    wt: 1:   problemes algebre et arithmetique
  709.    wt: 1:   4 Energy Power Heat09
  710.    wt: 1:   1 Energy Power Heat06
  711.    wt: 1:   D Energy Power04
  712.    wt: 1:   A Energy Power01
  713.    wt: 1:   E Wire Resistance Calculation03
  714.    wt: 1:   D Wire Resistance Calculation02
  715.    wt: 1:   B Wire Resistance Qualitative02
  716.    wt: 1:   3 Like resistors in parallel
  717.    wt: 1:   G Series Circuit01
  718.    wt: 1:   C Electromotive force conventional current02
  719.    wt: 1:   B Electromotive force conventional current01
  720.    wt: 1:   A Circuit Elements
  721.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  722.    wt: 1:   24 Standards For Skill Develoment Take II
  723.    wt: 1:   24 Standards For Skill Develoment
  724.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  725.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  726.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  727.    wt: 1:   18 Primary School Mathematics
  728.    wt: 1:   16 Secondary Mathematics Tips
  729.    wt: 1:   15 Counting For Parents
  730.    wt: 1:   10 Ends values for work study instruction
  731.    wt: 1:   5 Patience Please for Yourself and Your Charges
  732.    wt: 1:   2 Reading and Writing Skills
  733.    wt: 1:   Ages 4 plus to 5 plus
  734.    wt: 1:   23 Inverse Functions
  735.    wt: 1:   22 Square Root function graphically
  736.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  737.    wt: 1:   20 Interchanging coordinates a reflection
  738.    wt: 1:   9 Set theory term relation possible origins
  739.    wt: 1:   7 Functions with finite domains
  740.    wt: 1:   5 Function notation for geometric transformations
  741.    wt: 1:   3 Formula or function graphing exercise
  742.    wt: 1:   2 Algebraic use of function notation
  743.    wt: 1:   Introduction Reading Guide
  744.    wt: 1:   9 quadratics physical and further context
  745.    wt: 1:   4 quadratics difference of two squares
  746.    wt: 1:   1 quadratics graphing exercises
  747.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  748.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  749.    wt: 1:   8 Notes for instructors or tutors
  750.    wt: 1:   7 Links Lessons Elsewhere
  751.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  752.    wt: 1:   3 Polynomials Multiplication Addition
  753.    wt: 1:   2 Column Multiplication Method
  754.    wt: 1:   A Modular and Remainder Arithmetic
  755.    wt: 1:   A Signed Number Arithmetic Review
  756.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  757.    wt: 1:   22 Multiplication of Signed Numbers
  758.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  759.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  760.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  761.    wt: 1:   15 Head to Tails in place Addition Associative
  762.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  763.    wt: 1:   9 Division with Digits after Decimal Point
  764.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  765.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  766.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  767.    wt: 1:   3 Location of Point in Decimal Multiplication
  768.    wt: 1:   2 Counting Digits in Decimal Multiplication
  769.    wt: 1:   E Long Division Methods more
  770.    wt: 1:   D Long Division Methods
  771.    wt: 1:   C Three Decimal Subtraction Methods
  772.    wt: 1:   A Decimal Addition Columm Methods
  773.    wt: 1:   8 Column Multiplication Methods in General
  774.    wt: 1:   7 Decimals Multiplication Methods Examples
  775.    wt: 1:   6 Column Methods for Decimal Multiplication
  776.    wt: 1:   5 Distributive Law for Whole Numbers
  777.    wt: 1:   3 Multiplicative Counting Skills Principles
  778.    wt: 1:   5 Proportionality in Equivalent Fractions
  779.    wt: 1:   3 Proportionality Examples
  780.    wt: 1:   2 Algebraic View
  781.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  782.    wt: 1:   6 Compound Interest Forward and Backwards
  783.    wt: 1:   1 Changing Calculations
  784.    wt: 1:   5 Equality in Algebra
  785.    wt: 1:   3 Product Axioms Two Forms
  786.    wt: 1:   16 Real Numbers Comparison
  787.    wt: 1:   15 Real Number Division
  788.    wt: 1:   14 Real Number Multiplication
  789.    wt: 1:   13 Real Number Subtraction
  790.    wt: 1:   12 Real Number Additive Inverses or Negatives
  791.    wt: 1:   11 Real Number Addition
  792.    wt: 1:   9 Coordinates for Regions in Space
  793.    wt: 1:   7 Real Numbers as Line Cordinates
  794.    wt: 1:   4 Rational Numbers
  795.    wt: 1:   Simple Exercises
  796.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  797.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  798.    wt: 1:   2 GE II Comparison
  799.    wt: 1:   Using Letters for Physical Quantities
  800.    wt: 1:   13 Naming Identifying Formulas with Words
  801.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  802.    wt: 1:   11 Volume of Sphere
  803.    wt: 1:   10 Volume of Pyramid
  804.    wt: 1:   4 Circle Area Formula Example
  805.    wt: 1:   8 Sets of Numbers
  806.    wt: 1:   7 Cautious or Safe Set Construction
  807.    wt: 1:   6 Power Set Notation
  808.    wt: 1:   5 Product Builder Notation
  809.    wt: 1:   3 Counting with Sets etc
  810.    wt: 1:   2 Venn Diagrams
  811.    wt: 1:   6 Three Notions of What is a Variable
  812.    wt: 1:   3 Adding Words To Arithmetic
  813.    wt: 1:   2 What is a Variable
  814.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  815.    wt: 1:   3 Units and Lengths of Time
  816.    wt: 1:   2 Time and Date Matters in School
  817.    wt: 1:   1 Intro of Kids To Time Date Skills
  818.    wt: 1:   5 Area Under Curve Exercise
  819.    wt: 1:   3 Two Chain Rule Method Exercises
  820.    wt: 1:   A Related lessons in Volume 3
  821.    wt: 1:   2 Second derivative test prequel
  822.    wt: 1:   19 Chain Rule for linear functions
  823.    wt: 1:   18 Chain Rule Introduction
  824.    wt: 1:   12 Quotient rule examples
  825.    wt: 1:   11 Quotient rule
  826.    wt: 1:   10 Power rule for negative integers
  827.    wt: 1:   4 Sum Rule
  828.    wt: 1:   3 Motivation for Limit Definition Take 2
  829.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  830.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  831.    wt: 1:   C Triangle Inequalities
  832.    wt: 1:   A1. Introduction
  833.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  834.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  835.    wt: 1:   Chapter 23 Links To Trigonometry
  836.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  837.    wt: 1:   Chapter 12. Units and Slopes
  838.    wt: 1:   Chapter 10 Slopes and Units
  839.    wt: 1:   Chapter 7 Slopes and Velocity
  840.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  841.    wt: 1:   Chapter 5. Slope Sign Tests
  842.    wt: 1:   Chapter 2. Slopes and Ski Trails
  843.    wt: 1:   Chapter 1.Introduction
  844.    wt: 1:   Foreword
  845.    wt: 1:   Postscript More on Better Performance
  846.    wt: 1:   Postscript For Better Performance
  847.    wt: 1:   Appendix C. How to Read
  848.    wt: 1:   Appendix B. How To Learn
  849.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  850.    wt: 1:   Chapter 30 Truth Tables
  851.    wt: 1:   Chapter 28 Occurrence Tables
  852.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  853.    wt: 1:   Chapter 25. Mathematical Induction Examples
  854.    wt: 1:   Chapter 23. Notation For Sums
  855.    wt: 1:   Chapter 21. Third Reading Guide
  856.    wt: 1:   Chapter 18. Rules for Algebra
  857.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  858.    wt: 1:   Chapter 16. Painless Theorem Proving
  859.    wt: 1:   Chapter 15. Solving Linear Equations
  860.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  861.    wt: 1:   Chapter 13. Second Reading Guide
  862.    wt: 1:   Postscript What is a Variable
  863.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  864.    wt: 1:   Chapter 8 Three Skills For Algebra
  865.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  866.    wt: 1:   Chapter 6 Change of Language
  867.    wt: 1:   Chapter 3 Chains of Reason
  868.    wt: 1:   Foreword
  869.    wt: 1:   Chapter 2 For and Against Mathematics
  870.    wt: 1:   Chapter 1 Introduction
  871.    wt: 1:   Postscript B More on Story Telling and Reason
  872.    wt: 1:   Chapter 24 Direct and Indirect Reason
  873.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  874.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  875.    wt: 1:   Chapter 18 Sense and Knowledge
  876.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  877.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  878.    wt: 1:   Chapter 1 Introduction
  879.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  880.    wt: 1:   S Adding words to algebra
  881.    wt: 1:   R Why Learn Mathematics Skills
  882.    wt: 1:   N Mathematics Prepare for College Studies
  883.    wt: 1:   M Words to extend arithmetic
  884.    wt: 1:   L Skills with take home value
  885.    wt: 1:   H more Routine to non routine problem solving
  886.    wt: 1:   F. The student teacher tutor feedback loop
  887.    wt: 1:   C. Domino effect of being careful
  888.    wt: 1:   B. Domino effect of errors
  889.    wt: 1:   Chapter 3 Algebra Starter Lessons
  890.    wt: 1:   Chapter 2 Why Sets
  891.    wt: 1:   Helping the Blind in Logic and Mathematics
  892.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  893.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  894.    wt: 1:   More Algebra and Slope based Calculus Preview
  895.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  896.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  897.    wt: 1:   The Math Forum and Site Content
  898.    wt: 13:   3 Lengths and Areas on Maps and Plans
  899.    wt: 12:   4 Angles on Maps Plans drawn to scale
  900.    wt: 11:   1 Numerical view of lines and their equations
  901.    wt: 10:   1 Unsigned Coordinates
  902.    wt: 10:   10 Midpoint of [a b] and [b a]
  903.    wt: 10:   4 Equations for lines three forms
  904.    wt: 10:   8 More Use of Maps Not Drawn to Scale
  905.    wt: 10:   6 Figuring with Maps Not to Scale
  906.    wt: 10:   1 Length Measurement
  907.    wt: 10:   1 More and Less Than for Counts and Measures
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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.