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

44 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:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   9 Combinatorics Trees Tables and Products/
  18.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  19.    wt: 2:   11 Squares and Square Roots/
  20.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  21.    wt: 2:   7 Arithmetic and Fractions with Units/
  22.    wt: 2:   6 Fractions and Ratios/
  23.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  24.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  25.    wt: 2:   A Decimal Counting and Adding Methods/
  26.    wt: 1:   A Origins of Counting and Figuring Methods/
  27.    wt: 1:   9 Proportionality Backwards and Forwards/
  28.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 1:   4 Computation Rules and Function Notation/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   8 Arithmetic with Signed Numbers/
  33.    wt: 1:   5 Integers/
  34.    wt: 1:   3 Prime Factorization Skills/
  35.    wt: 1:   D Decimal Long Division Methods/
  36.    wt: 1:   C Decimal Multiplication Methods/
  37.    wt: 1:   2 Arithmetic with Decimals/
  38.    wt: 1:   1 Decimal Place Value/
  39.    wt: 1:   Arithmetic and Number Theory Skills/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  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/

Web Page Search

295 matches:

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

Extended Search

677 matches:

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