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

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

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

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

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

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

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

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45 matches:

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

Web Page Search

309 matches:

  1.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  2.    wt: 4:   3 Lengths and Areas on Maps and Plans
  3.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  4.    wt: 2:   3 Euclidean Geometry Leanly
  5.    wt: 2:   Maps Plans Drawings
  6.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  7.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  8.    wt: 2:   14 cosine even and sine and tangent are odd
  9.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  10.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  11.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  12.    wt: 2:   1 Initial Concepts and Terms
  13.    wt: 2:   Short Course on Euclidean Geometry
  14.    wt: 2:   4 Angles on Maps Plans drawn to scale
  15.    wt: 2:   13 Arrows and Vectors in a Plane
  16.    wt: 2:   2 More and Less Than for Counts and Measures
  17.    wt: 2:   8 Coordinates for Maps and Planes
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   3 signed coordinates for maps and planes
  20.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 2:   17 Identify and Count Factors using Primes
  22.    wt: 2:   12 LCD GCD and LCM using Primes
  23.    wt: 2:   6. Counting and adding units and mixed units
  24.    wt: 2:   38 Formulas and derivatives for powers and roots
  25.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  26.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  27.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  28.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  29.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  30.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  31.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  32.    wt: 2:   Chapter 6 More Algebra and Geometry
  33.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  34.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  35.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  36.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  37.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  38.    wt: 1:   Appendix 1 primary and preschool mathematic
  39.    wt: 1:   K LAMP Musings Science Education
  40.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  41.    wt: 1:   Ramblings Extrinsic numbers theory
  42.    wt: 1:   Skills Chapter 2 Geometry
  43.    wt: 1:   8 analytic geometry etc
  44.    wt: 1:   7 logic review and decimals an odd combination
  45.    wt: 1:   5 logarithms and exponentials etc
  46.    wt: 1:   About site lesson plans
  47.    wt: 1:   key notes and themes
  48.    wt: 1:   what should be learnt and When
  49.    wt: 1:   standards for course material
  50.    wt: 1:   Theory of Knowledge
  51.    wt: 1:   Education in mathematics science and technology
  52.    wt: 1:   Motivation and Context Problem
  53.    wt: 1:   fairness and inductive principles for instruction
  54.    wt: 1:   Home Tutoring and Home Schooling
  55.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  56.    wt: 1:   24 Standards For Skill Develoment Take II
  57.    wt: 1:   24 Standards For Skill Develoment
  58.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  59.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  60.    wt: 1:   17 Math Booklets for children and young teenagers
  61.    wt: 1:   14 Multiplication and Times Tables
  62.    wt: 1:   13 Addition and Addition Tables
  63.    wt: 1:   12 Goals and Objectives For Mathematics
  64.    wt: 1:   11 Help and Defend Your Child or Teens Education
  65.    wt: 1:   5 Patience Please for Yourself and Your Charges
  66.    wt: 1:   4 Learning Takes Time and Effort
  67.    wt: 1:   2 Reading and Writing Skills
  68.    wt: 1:   Ages 12 to 14 Geometry
  69.    wt: 1:   Ages 10 to 12 Geometry
  70.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  71.    wt: 1:   26 Function definitions done and coming
  72.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  73.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  74.    wt: 1:   19 Horizontal line rule and method
  75.    wt: 1:   18 Vertical Line Rule and Method
  76.    wt: 1:   17 Function maxima minima and their location
  77.    wt: 1:   11 Function Domain Range Source and Targets
  78.    wt: 1:   9 Set theory term relation possible origins
  79.    wt: 1:   8 Set view of relations and functions
  80.    wt: 1:   6 Set Existence Formation and Notation
  81.    wt: 1:   4 Function notation in and beyond mathematics
  82.    wt: 1:   9 quadratics physical and further context
  83.    wt: 1:   11 Growth and Decay in Biology
  84.    wt: 1:   10 Exponential Growth and Decay Models
  85.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  86.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  87.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  88.    wt: 1:   16 cotangent function Definition Graph and Inverse
  89.    wt: 1:   15 cosecant function Definition Graph and Inverse
  90.    wt: 1:   14 secant function Definition Graph and Inverse
  91.    wt: 1:   13 cosecant function Definition Graph and Inverse
  92.    wt: 1:   9 Summary Degrees to Radians and back
  93.    wt: 1:   1 Degrees and Radians Introduction
  94.    wt: 1:   A Global Time and Navigation
  95.    wt: 1:   15 Dot and Cross Product
  96.    wt: 1:   13 Velocity Vectors in Physics
  97.    wt: 1:   8 Parallel Vectors
  98.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  99.    wt: 1:   6 Vectors with Coordinates
  100.    wt: 1:   3 Navigation with Arrows or Vectors
  101.    wt: 1:   Vector and Complex Number Applet
  102.    wt: 1:   Parallel Lines and Parallel Transversals
  103.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  104.    wt: 1:   Parallel Lines and Interior Angles
  105.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  106.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  107.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  108.    wt: 1:   29 secant cosecant and cotangent for acute angles
  109.    wt: 1:   27 Logarithmic use of products of sines and cosines
  110.    wt: 1:   26 Formulas for products of sines and cosines
  111.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  112.    wt: 1:   21 sine and cosine Half Angle Formulas
  113.    wt: 1:   20 sine and cosine Double Angle Formulas
  114.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  115.    wt: 1:   17E Trig Formulas for dot and cross Products
  116.    wt: 1:   17D cis formulas for sine cosines and tangent
  117.    wt: 1:   17C sine and cosine double triple angle formulas
  118.    wt: 1:   10 Graphs of sines and cosines many periods
  119.    wt: 1:   9 Graphs of sine and cosine over one period
  120.    wt: 1:   7 period of sine and cosine
  121.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  122.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  123.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  124.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  125.    wt: 1:   Unit Circle Development of Trigonometry
  126.    wt: 1:   21 Logarithms Powers and Exponentials
  127.    wt: 1:   16 References and Originality Question
  128.    wt: 1:   13 Trig Formulas for dot and cross Products
  129.    wt: 1:   12 cis formulas for sine cosines and tangent
  130.    wt: 1:   11 sine and cosine double triple angle formulas
  131.    wt: 1:   8 Unit Circle Development of Trigonometry
  132.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  133.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  134.    wt: 1:   3 Trigonometric Ratios sine and cosine
  135.    wt: 1:   Why Trigonometry the whyslopes view
  136.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  137.    wt: 1:   8 Similarity of Triangles and Polygons
  138.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  139.    wt: 1:   10 Midpoint of [a b] and [b a]
  140.    wt: 1:   7 Exercises to test skill and concept mastery
  141.    wt: 1:   1 Numerical view of lines and their equations
  142.    wt: 1:   What is and is not here
  143.    wt: 1:   6 Polar Multiplication and Rotation
  144.    wt: 1:   5 Cartesian Addition and Translation
  145.    wt: 1:   4 Polar Coordinates to and from
  146.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  147.    wt: 1:   16 Angles Subtended By Chords and Diameters
  148.    wt: 1:   6 Ruler and compass Angle Bisection
  149.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  150.    wt: 1:   6 Figuring with Maps Not to Scale
  151.    wt: 1:   musings do not puiblish real numbers
  152.    wt: 1:   A Modular and Remainder Arithmetic
  153.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  154.    wt: 1:   19 Signed Multiples of Vectors
  155.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  156.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  157.    wt: 1:   11 Signed Number Addition and Addition Properties
  158.    wt: 1:   8 Division and Mulplication of Compound Fractions
  159.    wt: 1:   B Decimal Comparison and Subtraction
  160.    wt: 1:   2 Combing Counts Addition Skills and Principles
  161.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  162.    wt: 1:   4 Rates Ratios and Proporitionality
  163.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  164.    wt: 1:   6 Compound Interest Forward and Backwards
  165.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  166.    wt: 1:   6 Equations and Systems Equivalent or Implied
  167.    wt: 1:   4 Subtraction and Division Axioms
  168.    wt: 1:   2 Addition and Multiplication Axioms
  169.    wt: 1:   3 More and Less Than with Unlike Signs
  170.    wt: 1:   10 Real Number Lengths and Signs
  171.    wt: 1:   1 Whole and Natural Numbers
  172.    wt: 1:   3 Geometric Formulas and Function Notation
  173.    wt: 1:   1 Formulas Dependence and Function Notation
  174.    wt: 1:   3 GE III Equation Addition and Multiplication
  175.    wt: 1:   Using Letters for Physical Quantities
  176.    wt: 1:   1 Written work formats for developing and showing skill
  177.    wt: 1:   9 Sets in Probability and Statistics
  178.    wt: 1:   5 Talking about Numbers and Quantities
  179.    wt: 1:   4 A Brief Story of numbers and algebra
  180.    wt: 1:   2 More and Less Than with Unlike Signs
  181.    wt: 1:   1 Squares and Square Roots Introduction
  182.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  183.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  184.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  185.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  186.    wt: 1:   8 GCD from Euclidean Algorithm
  187.    wt: 1:   7 GCD and LCM from prime factorization
  188.    wt: 1:   4 LCM of 8 and 10 via Prime
  189.    wt: 1:   3 Counting with Tables and Trees II
  190.    wt: 1:   2 Counting with Tables and Trees I
  191.    wt: 1:   1 Counting and Counting Methods I
  192.    wt: 1:   11 What are real lengths and numbers
  193.    wt: 1:   7 negative and additive inverse
  194.    wt: 1:   5 lengths and signs of numbers
  195.    wt: 1:   2 signed and unsigned numbers as coordinates
  196.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  197.    wt: 1:   3 Multiplying Units and Numbers
  198.    wt: 1:   2 Equality and Units
  199.    wt: 1:   1 Addition and Subtraction with Units
  200.    wt: 1:   B Fractions and Two Term Ratios
  201.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  202.    wt: 1:   21 Reciprocals for Fractions and Wholes
  203.    wt: 1:   17 Efficient Ways to Add and Subtract
  204.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  205.    wt: 1:   14 Adding and Subtracting with Like Denominators
  206.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  207.    wt: 1:   9 Improper Fractions and Mixed Numbers
  208.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  209.    wt: 1:   11 Adding Integers Formulas and Examples
  210.    wt: 1:   5 Zero Movement and Additive Inverses
  211.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  212.    wt: 1:   16 video Factors of 980 using prime
  213.    wt: 1:   15 video Factors of 20 using Prime Factorization
  214.    wt: 1:   13 video Factors of 24 using prime
  215.    wt: 1:   7 Calculator Usage Notes and Cautions
  216.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  217.    wt: 1:   5 Prime Factorization and a Square Rule
  218.    wt: 1:   3 video Primes and Composites from 9 times table
  219.    wt: 1:   2 Prime and Composites less than 16
  220.    wt: 1:   Division with Counts and Length
  221.    wt: 1:   Long Division forwards and backwards Example 3
  222.    wt: 1:   Long Division forwards and backwards Example 2
  223.    wt: 1:   Long Division forwards and backwards Example 1
  224.    wt: 1:   10 Division by Five Long and Short Ways
  225.    wt: 1:   4 Two and Three Digit Multipliers
  226.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  227.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  228.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  229.    wt: 1:   8 What skills and work habits to require
  230.    wt: 1:   7 Adding decimal fractions using decimal point
  231.    wt: 1:   11 Place Value SI Standard International way
  232.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  233.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  234.    wt: 1:   Quick history of numbers and algebra
  235.    wt: 1:   Exact Arithmetic Wholes and Fractions
  236.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  237.    wt: 1:   015 School and work day counting tables
  238.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  239.    wt: 1:   4 Mixing and Changing Units of Time
  240.    wt: 1:   3 Units and Lengths of Time
  241.    wt: 1:   2 Time and Date Matters in School
  242.    wt: 1:   Example 1. Area Between x and x squared
  243.    wt: 1:   17 Derivatives of quotients of sine and cosine
  244.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  245.    wt: 1:   15 sine and cosine derivatives 3rd step
  246.    wt: 1:   14 sine and cosine derivatives 2nd step
  247.    wt: 1:   13 sine and cosine derivatives 1st step
  248.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  249.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  250.    wt: 1:   9 Limits Continuity and Composition
  251.    wt: 1:   5 Jumps and absence of unlimited error control
  252.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  253.    wt: 1:   PostScript For and Against Decimal Perspectives
  254.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  255.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  256.    wt: 1:   Chapter 23 Links To Trigonometry
  257.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  258.    wt: 1:   Chapter 12. Units and Slopes
  259.    wt: 1:   Chapter 10 Slopes and Units
  260.    wt: 1:   Chapter 7 Slopes and Velocity
  261.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  262.    wt: 1:   Chapter 2. Slopes and Ski Trails
  263.    wt: 1:   Appendix E. How To Study Mathematics and Why
  264.    wt: 1:   Appendix D. What to do in School and Why
  265.    wt: 1:   Chapter 31 Direct and Indirect Reason
  266.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  267.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  268.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  269.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  270.    wt: 1:   Chapter 20. Degrees and Radians
  271.    wt: 1:   Chapter 19. Functions and Sets
  272.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  273.    wt: 1:   Chapter 12. Shorthand Usage Guide
  274.    wt: 1:   Chapter 11. Why Shorthand
  275.    wt: 1:   Chapter 10 Describing and Changing Calculations
  276.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  277.    wt: 1:   Chapter 7 Two Treatments of Geometry
  278.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  279.    wt: 1:   Chapter 2 For and Against Mathematics
  280.    wt: 1:   Postscript B More on Story Telling and Reason
  281.    wt: 1:   Chapter 24 Direct and Indirect Reason
  282.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  283.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  284.    wt: 1:   Chapter 18 Sense and Knowledge
  285.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  286.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  287.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  288.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  289.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  290.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  291.    wt: 1:   O On Learning Mathematics and Science
  292.    wt: 1:   N Improving Marks on Tests and Finals
  293.    wt: 1:   J. More on written work and showing skill
  294.    wt: 1:   I. Logic and language skills
  295.    wt: 1:   H Jigsaw puzzles and problem solving
  296.    wt: 1:   G. Written work formats for developing and showing skill
  297.    wt: 1:   E. When and how to correct errors
  298.    wt: 1:   How to Build Skills and Confidence
  299.    wt: 1:   Chapter 8 Skipped Topics and Why
  300.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  301.    wt: 1:   7 Games and Activities for Instruction
  302.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  303.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  304.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  305.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  306.    wt: 1:   Helping the Blind in Logic and Mathematics
  307.    wt: 1:   More Algebra and Slope based Calculus Preview
  308.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  309.    wt: 1:   The Math Forum and Site Content

Extended Search

699 matches:

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

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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