Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local 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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  1.    wt: 4:   Progressive Observable Motivated Mathematics Education/
  2.    wt: 4:   Mathematics Education Essays/
  3.    wt: 3:   LAMP Lean Applied Mathematics Program/
  4.    wt: 3:   9 Combinatorics Trees Tables and Products/
  5.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  6.    wt: 2:   8 Arithmetic with Signed Numbers/
  7.    wt: 2:   7 Arithmetic and Fractions with Units/
  8.    wt: 2:   5 Integers/
  9.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  10.    wt: 2:   D Decimal Long Division Methods/
  11.    wt: 2:   C Decimal Multiplication Methods/
  12.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  13.    wt: 2:   A Decimal Counting and Adding Methods/
  14.    wt: 2:   2 Arithmetic with Decimals/
  15.    wt: 2:   Mathematics Skill Development Framework/
  16.    wt: 1:   Archives/
  17.    wt: 1:   Direct Current Electric Circuits/
  18.    wt: 1:   9 Proportionality Backwards and Forwards/
  19.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  20.    wt: 1:   11 Squares and Square Roots/
  21.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  22.    wt: 1:   6 Fractions and Ratios/
  23.    wt: 1:   3 Prime Factorization Skills/
  24.    wt: 1:   1 Decimal Place Value/
  25.    wt: 1:   Arithmetic and Number Theory Skills/
  26.    wt: 1:   Work and Study Tips/

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140 matches:

  1.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  2.    wt: 2:   Applied Maths Program14092009 POMME variant
  3.    wt: 2:   9 Multiplying Integers
  4.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  5.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  6.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  7.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  8.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  9.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  10.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  11.    wt: 2:   9 video Prime Factorization upto 19 squared
  12.    wt: 1:   Appendix 2 primary school Arithmetic 01
  13.    wt: 1:   K LAMP Musings Science Education
  14.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  15.    wt: 1:   Skills Chapter 1 Arithmetic
  16.    wt: 1:   9 combinatorics probability sets
  17.    wt: 1:   2 arithmetic with signed numbers
  18.    wt: 1:   1 arithmetic with unsigned numbers
  19.    wt: 1:   links Education Resources online
  20.    wt: 1:   Mathematics Education Professors
  21.    wt: 1:   modern education
  22.    wt: 1:   Education Reform Inconsistencies
  23.    wt: 1:   three goals for Mathematics Education
  24.    wt: 1:   04 29 New Mathematics Curriculum
  25.    wt: 1:   02 20 mathematics education references
  26.    wt: 1:   Education in mathematics science and technology
  27.    wt: 1:   Four ways to improve education reform
  28.    wt: 1:   education an empirical art
  29.    wt: 1:   chapitre 04 09 Regles accidentelles
  30.    wt: 1:   4 Energy Power Heat09
  31.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  32.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  33.    wt: 1:   11 Help and Defend Your Child or Teens Education
  34.    wt: 1:   9 Streaming by Student Cooperation
  35.    wt: 1:   Ages 12 to 14 Arithmetic
  36.    wt: 1:   Ages 10 to 12 Arithmetic
  37.    wt: 1:   Ages 9 to 10
  38.    wt: 1:   Ages 8 to 9
  39.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  40.    wt: 1:   19 Horizontal line rule and method
  41.    wt: 1:   9 Set theory term relation possible origins
  42.    wt: 1:   9 quadratics physical and further context
  43.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  44.    wt: 1:   9 motivation for name arcsin
  45.    wt: 1:   9 Summary Degrees to Radians and back
  46.    wt: 1:   9 Head to Tail Coordinate View
  47.    wt: 1:   9 Straight Lines through Origin Equations
  48.    wt: 1:   29 secant cosecant and cotangent for acute angles
  49.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  50.    wt: 1:   9 Graphs of sine and cosine over one period
  51.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  52.    wt: 1:   19 N th Roots of Unity
  53.    wt: 1:   9 The complex number valued trig function cis
  54.    wt: 1:   9 Similarity of Triangles Usual Criteria
  55.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  56.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  57.    wt: 1:   19 Right Triangle Similarity
  58.    wt: 1:   9 Construction of a right bisector
  59.    wt: 1:   A Modular and Remainder Arithmetic
  60.    wt: 1:   A Signed Number Arithmetic Review
  61.    wt: 1:   19 Signed Multiples of Vectors
  62.    wt: 1:   9 Division with Digits after Decimal Point
  63.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  64.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  65.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  66.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  67.    wt: 1:   9 Coordinates for Regions in Space
  68.    wt: 1:   2 Integers
  69.    wt: 1:   9 Three Examples
  70.    wt: 1:   9 Volume of Cone
  71.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  72.    wt: 1:   9 Sets in Probability and Statistics
  73.    wt: 1:   3 Adding Words To Arithmetic
  74.    wt: 1:   arithmetic videos Real Player Format
  75.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  76.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  77.    wt: 1:   9 subtracting signed numbers
  78.    wt: 1:   19 Dividing Fractions How TO
  79.    wt: 1:   9 Improper Fractions and Mixed Numbers
  80.    wt: 1:   12 Adding Integers More Examples
  81.    wt: 1:   11 Adding Integers Formulas and Examples
  82.    wt: 1:   8 Multiplication by Signed Numbers Integers
  83.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  84.    wt: 1:   1 Integers as Coordinates
  85.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  86.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  87.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  88.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  89.    wt: 1:   23 Remainder Arithmetic Modulo 2
  90.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  91.    wt: 1:   21 Remainder Arithmetic Modulo 3
  92.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  93.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  94.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  95.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  96.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  97.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  98.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  99.    wt: 1:   5 Remainder Arithmetic Modulo 5
  100.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  101.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  102.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  103.    wt: 1:   1 Remainder Arithmetic Modulo 10
  104.    wt: 1:   19 video Prime Factorization Unique
  105.    wt: 1:   16 video Factors of 980 using prime
  106.    wt: 1:   8 video Prime Factorization upto 19
  107.    wt: 1:   3 video Primes and Composites from 9 times table
  108.    wt: 1:   9 Why Long Division Works Take II
  109.    wt: 1:   9 22 Minute Subtraction Review Video
  110.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  111.    wt: 1:   Exact Arithmetic Wholes and Fractions
  112.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  113.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  114.    wt: 1:   5 Conversion Arithmetic
  115.    wt: 1:   29 Chain Rule Optional Reading
  116.    wt: 1:   19 Chain Rule for linear functions
  117.    wt: 1:   10 Power rule for negative integers
  118.    wt: 1:   9 Reciprocal rule
  119.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  120.    wt: 1:   9 Limits Continuity and Composition
  121.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  122.    wt: 1:   Chapter 9 About First Courses in Calculus
  123.    wt: 1:   Fall 1983 Calculus Appetizer
  124.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  125.    wt: 1:   Chapter 19. Functions and Sets
  126.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  127.    wt: 1:   Solutions For Arithmetic Exercises
  128.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  129.    wt: 1:   Postscript B Mathematics Education References
  130.    wt: 1:   Chapter 9 The Two Ends
  131.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  132.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  133.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  134.    wt: 1:   M Words to extend arithmetic
  135.    wt: 1:   Chapter 1 Arithmetic
  136.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  137.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  138.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  139.    wt: 1:   Mathematics Education References
  140.    wt: 1:   Mathematics Education References

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505 matches:

  1.    wt: 6:   9 combinatorics probability sets
  2.    wt: 6:   Applied Maths Program14092009 POMME variant
  3.    wt: 6:   arithmetic videos Real Player Format
  4.    wt: 5:   Appendix 2 primary school Arithmetic 01
  5.    wt: 5:   2 arithmetic with signed numbers
  6.    wt: 5:   1 arithmetic with unsigned numbers
  7.    wt: 5:   links Education Resources online
  8.    wt: 5:   Mathematics Education Professors
  9.    wt: 5:   modern education
  10.    wt: 5:   mathematics in context
  11.    wt: 5:   Education Reform Inconsistencies
  12.    wt: 5:   Secondary One Mathematics
  13.    wt: 5:   three goals for Mathematics Education
  14.    wt: 5:   04 29 New Mathematics Curriculum
  15.    wt: 5:   02 20 mathematics education references
  16.    wt: 5:   Education in mathematics science and technology
  17.    wt: 5:   Four ways to improve education reform
  18.    wt: 5:   How to be a better instructor
  19.    wt: 5:   education an empirical art
  20.    wt: 5:   9 Multiplying Integers
  21.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  22.    wt: 5:   15 Remainder Arithmetic Modulo 9 Example
  23.    wt: 5:   1 Links to Online Resources Elsewhere Take 1
  24.    wt: 4:   Appendix 1 primary and preschool mathematic
  25.    wt: 4:   K LAMP Musings Science Education
  26.    wt: 4:   C LAMP Introduction Culture in Mathematics Education
  27.    wt: 4:   Skills Chapter 1 Arithmetic
  28.    wt: 4:   11 pure mathematics
  29.    wt: 4:   10 statistics
  30.    wt: 4:   8 analytic geometry etc
  31.    wt: 4:   7 logic review and decimals an odd combination
  32.    wt: 4:   6 polynomials etc
  33.    wt: 4:   5 logarithms and exponentials etc
  34.    wt: 4:   4 algebra
  35.    wt: 4:   3 Euclidean Geometry Leanly
  36.    wt: 4:   What is POMME
  37.    wt: 4:   why bother
  38.    wt: 4:   which way to go
  39.    wt: 4:   website reviews
  40.    wt: 4:   three goals to set for students
  41.    wt: 4:   Teach the teachers plus goals
  42.    wt: 4:   permissions for teachers
  43.    wt: 4:   Math Ed if it must be short make it lean effective
  44.    wt: 4:   activities for students
  45.    wt: 4:   site origins
  46.    wt: 4:   site eurekas
  47.    wt: 4:   About site lesson plans
  48.    wt: 4:   key notes and themes
  49.    wt: 4:   teacher certification
  50.    wt: 4:   learning takes time
  51.    wt: 4:   grouping students according to ability
  52.    wt: 4:   what should be learnt and When
  53.    wt: 4:   Postscript 2007 01 10
  54.    wt: 4:   five decades make a difference
  55.    wt: 4:   Maps Plans Drawings
  56.    wt: 4:   how letters appear
  57.    wt: 4:   Secondary Three Mathematics
  58.    wt: 4:   Secondary Two Mathematics
  59.    wt: 4:   talk the algebra talk
  60.    wt: 4:   three difficulties
  61.    wt: 4:   teaching tips
  62.    wt: 4:   What to Tell Students
  63.    wt: 4:   mathematics curriculum shifts
  64.    wt: 4:   geometric implications for algebra
  65.    wt: 4:   teaching tutoring algebraic reason
  66.    wt: 4:   Lessening Algebra Difficulties
  67.    wt: 4:   the trouble with algebra
  68.    wt: 4:   05 13 OldSiteEntrancePage
  69.    wt: 4:   04 25 when to stop or suspend mathemat
  70.    wt: 4:   02 21 words for teachers
  71.    wt: 4:   three aims for mathematics students
  72.    wt: 4:   standards for course material
  73.    wt: 4:   Operational Viewpoint to Value
  74.    wt: 4:   formal or informal peer review
  75.    wt: 4:   Theory of Knowledge
  76.    wt: 4:   mathematics instruction in general
  77.    wt: 4:   Different Kinds of Reasoning in maths
  78.    wt: 4:   three kinds of reason in mathematics
  79.    wt: 4:   cultivating intelligence
  80.    wt: 4:   Motivation and Context Problem
  81.    wt: 4:   need for a mixed mathematics curriculum
  82.    wt: 4:   Leaner mathematics curriculum
  83.    wt: 4:   Prequel In For A Penny In For A Pound
  84.    wt: 4:   fairness and inductive principles for instruction
  85.    wt: 4:   words for mathematics instructor
  86.    wt: 4:   musings do not puiblish real numbers
  87.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  88.    wt: 4:   9 subtracting signed numbers
  89.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  90.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  91.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  92.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  93.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  94.    wt: 4:   14 Remainder Arithmetic Modulo 9 Example
  95.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  96.    wt: 4:   5 Remainder Arithmetic Modulo 5
  97.    wt: 4:   9 video Prime Factorization upto 19 squared
  98.    wt: 4:   9 Why Long Division Works Take II
  99.    wt: 4:   9 22 Minute Subtraction Review Video
  100.    wt: 4:   A Related lessons in Volume 3
  101.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  102.    wt: 4:   Mathematics Education References
  103.    wt: 4:   Mathematics Education References
  104.    wt: 3:   J LAMP Introduction Extrinsic Origins
  105.    wt: 3:   I LAMP Introduction Study Habits
  106.    wt: 3:   H LAMP Introduction Instructional Concepts
  107.    wt: 3:   G LAMP Introduction Problem Solving Skills
  108.    wt: 3:   F LAMP Introduction Prerequisites
  109.    wt: 3:   E LAMP Introduction Modern Mathematics
  110.    wt: 3:   B LAMP Introduction Curriculum Development Standards
  111.    wt: 3:   A Introduction Objectives
  112.    wt: 3:   Skills Chapter 5 Calculus
  113.    wt: 3:   Skills Chapter 4 Logic
  114.    wt: 3:   Ramblings Extrinsic numbers theory
  115.    wt: 3:   Ramblings Introduction Algebra Essay
  116.    wt: 3:   Skills Chapter 3 Algebra
  117.    wt: 3:   Skills Chapter 2 Geometry
  118.    wt: 3:   Skills Chapter 0 Introduction
  119.    wt: 3:   4 Energy Power Heat09
  120.    wt: 3:   9 Straight Lines through Origin Equations
  121.    wt: 3:   8 Straight Lines Equation for vertical
  122.    wt: 3:   1 Straight Lines Slope Concept
  123.    wt: 3:   4 Counting with Trees Product Rule Take I
  124.    wt: 3:   3 Counting with Tables and Trees II
  125.    wt: 3:   2 Counting with Tables and Trees I
  126.    wt: 3:   1 Counting and Counting Methods I
  127.    wt: 3:   12 Adding Integers More Examples
  128.    wt: 3:   11 Adding Integers Formulas and Examples
  129.    wt: 3:   8 Multiplication by Signed Numbers Integers
  130.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  131.    wt: 3:   1 Integers as Coordinates
  132.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  133.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  134.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  135.    wt: 3:   23 Remainder Arithmetic Modulo 2
  136.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  137.    wt: 3:   21 Remainder Arithmetic Modulo 3
  138.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  139.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  140.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  141.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  142.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  143.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  144.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  145.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  146.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  147.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  148.    wt: 3:   1 Remainder Arithmetic Modulo 10
  149.    wt: 3:   19 video Prime Factorization Unique
  150.    wt: 3:   Long Division Backwards more
  151.    wt: 3:   Long Division Backward
  152.    wt: 3:   Long Division forwards and backwards Example 1
  153.    wt: 3:   C Counting Areas with Powers of Ten
  154.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  155.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  156.    wt: 3:   Subtraction with J Conversions Example
  157.    wt: 3:   Subtraction Another Video Lesson
  158.    wt: 3:   Appendix 1 Counting Revisited 15 minute video
  159.    wt: 3:   Helping the Blind in Logic and Mathematics
  160.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  161.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  162.    wt: 2:   1 Conductance Resistance Duality01
  163.    wt: 2:   H Series Circuit02
  164.    wt: 2:   19 Extending the Oral Dimension of Mathematics
  165.    wt: 2:   9 Streaming by Student Cooperation
  166.    wt: 2:   Ages 9 to 10
  167.    wt: 2:   19 Horizontal line rule and method
  168.    wt: 2:   9 Set theory term relation possible origins
  169.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  170.    wt: 2:   8 Radian Measures of Common Angles
  171.    wt: 2:   9 Head to Tail Coordinate View
  172.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  173.    wt: 2:   C Straight Lines Slope from Coordinates
  174.    wt: 2:   B Straight Line Slope Scaling Properties More
  175.    wt: 2:   A Straight Line Slope Scaling Properties
  176.    wt: 2:   14 Straight Lines Equations General Case
  177.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  178.    wt: 2:   12 Straight Lines Graphing mx plus b
  179.    wt: 2:   11 Straight Lines Graphing y=mx
  180.    wt: 2:   10 Straight Lines through Origin Equations More
  181.    wt: 2:   7 Tangent Function is odd on this domain
  182.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  183.    wt: 2:   5 Tangent Function Graph
  184.    wt: 2:   4 Tangent Function Properties
  185.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  186.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  187.    wt: 2:   2 Quadrant I reference Angles
  188.    wt: 2:   1 Unit Points Reflections Rotations
  189.    wt: 2:   19 N th Roots of Unity
  190.    wt: 2:   9 The complex number valued trig function cis
  191.    wt: 2:   9 Similarity of Triangles Usual Criteria
  192.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  193.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  194.    wt: 2:   19 Right Triangle Similarity
  195.    wt: 2:   9 Construction of a right bisector
  196.    wt: 2:   A Signed Number Arithmetic Review
  197.    wt: 2:   Simple Exercises
  198.    wt: 2:   9 Three Examples
  199.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  200.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  201.    wt: 2:   4 LCM of 8 and 10 via Prime
  202.    wt: 2:   11 What are real lengths and numbers
  203.    wt: 2:   10 dividing signed numbers
  204.    wt: 2:   8 multiplying signed numbers
  205.    wt: 2:   7 negative and additive inverse
  206.    wt: 2:   6 adding signed numbers
  207.    wt: 2:   5 lengths and signs of numbers
  208.    wt: 2:   4 signed coordinates for regions in space
  209.    wt: 2:   3 signed coordinates for maps and planes
  210.    wt: 2:   2 signed and unsigned numbers as coordinates
  211.    wt: 2:   7 Converting or Changing Units
  212.    wt: 2:   6 Simplification of Fractions with Units
  213.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  214.    wt: 2:   4 Fractions with Units
  215.    wt: 2:   3 Multiplying Units and Numbers
  216.    wt: 2:   2 Equality and Units
  217.    wt: 2:   1 Addition and Subtraction with Units
  218.    wt: 2:   D Three Term Ratios
  219.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  220.    wt: 2:   B Fractions and Two Term Ratios
  221.    wt: 2:   A Similarities between Fractions and Two Term Ratios
  222.    wt: 2:   19 Dividing Fractions How TO
  223.    wt: 2:   16 Addition Subtraction Comparision Compared
  224.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  225.    wt: 2:   9 Improper Fractions and Mixed Numbers
  226.    wt: 2:   D Remainders Modulo 11 Pair Rule
  227.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  228.    wt: 2:   B Integer Long Division Multiple Choices
  229.    wt: 2:   A Associative Law Theorectical Note
  230.    wt: 2:   13 Subtraction with Additive Inverse
  231.    wt: 2:   10 Integer Multiplication Formulas
  232.    wt: 2:   7 Multiplication by Signs
  233.    wt: 2:   6 Multiplication by Natural Numbers
  234.    wt: 2:   5 Zero Movement and Additive Inverses
  235.    wt: 2:   4 Adding Movements wiht opposite directions
  236.    wt: 2:   3 Adding Movements with same direction
  237.    wt: 2:   26 Divisibility by 2 3 5 Example
  238.    wt: 2:   16 video Factors of 980 using prime
  239.    wt: 2:   8 video Prime Factorization upto 19
  240.    wt: 2:   3 video Primes and Composites from 9 times table
  241.    wt: 2:   Division with Counts and Length
  242.    wt: 2:   Long Division forwards and backwards Example 3
  243.    wt: 2:   Long Division forwards and backwards Example 2
  244.    wt: 2:   12 Why Long Division Works Take III
  245.    wt: 2:   11 Another Single Digit Divisor Example
  246.    wt: 2:   10 Division by Five Long and Short Ways
  247.    wt: 2:   8 Correcting the Mistake
  248.    wt: 2:   7 Long Divison Mistake Catching
  249.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  250.    wt: 2:   5 Long Division Include Zeroes or not
  251.    wt: 2:   4 Division with 2 Digit Divsors
  252.    wt: 2:   3 Division Single Digit Divisor Example
  253.    wt: 2:   2 Division with Single Digit Divisors
  254.    wt: 2:   1 Divsion Physical Examples
  255.    wt: 2:   D Decimal Multiplication Methods Derived
  256.    wt: 2:   B Powers of Ten
  257.    wt: 2:   A Elementary Basis for Multiplication Methods
  258.    wt: 2:   6 Multiplication Commutes Order Not Important
  259.    wt: 2:   5 Decimal Fraction Multiplication
  260.    wt: 2:   4 Two and Three Digit Multipliers
  261.    wt: 2:   3 More One Digit Multipliers
  262.    wt: 2:   2 One Digit Multipliers
  263.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  264.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  265.    wt: 2:   Video Power Notation in Decimal Expansion
  266.    wt: 2:   1 Why 3 times 5 gives 15
  267.    wt: 2:   8 Subtraction with Units of Measure
  268.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  269.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  270.    wt: 2:   5 A Tip for Efficent Subtraction
  271.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  272.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  273.    wt: 2:   2 Subtraction Easy Case Examples
  274.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  275.    wt: 2:   8 What skills and work habits to require
  276.    wt: 2:   7 Adding decimal fractions using decimal point
  277.    wt: 2:   6. Counting and adding units and mixed units
  278.    wt: 2:   5. How to add decimals C. Examples
  279.    wt: 2:   4. How to add with decimals B with conversions
  280.    wt: 2:   3. How to add with decimals A sans conversions
  281.    wt: 2:   2 Decimal Counting Practices
  282.    wt: 2:   1. Explaining Addition Table
  283.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  284.    wt: 2:   Exact Arithmetic Wholes and Fractions
  285.    wt: 2:   The 12 Times Table Visually
  286.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  287.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  288.    wt: 2:   Chapter 9 About First Courses in Calculus
  289.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  290.    wt: 2:   Chapter 19. Functions and Sets
  291.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  292.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  293.    wt: 2:   Chapter 9 The Two Ends
  294.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  295.    wt: 2:   Chapter 9 What is in Chapters 10 to 18
  296.    wt: 2:   S Adding words to algebra
  297.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  298.    wt: 2:   M Words to extend arithmetic
  299.    wt: 2:   I. Logic and language skills
  300.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  301.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  302.    wt: 2:   Implementation Notes
  303.    wt: 2:   More Algebra and Slope based Calculus Preview
  304.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  305.    wt: 2:   Systematic Algebra Skill Development Missing Links
  306.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  307.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  308.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  309.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  310.    wt: 2:   Which Way To Go
  311.    wt: 1:   chapitre 04 09 Regles accidentelles
  312.    wt: 1:   3 Energy Power Heat08
  313.    wt: 1:   2 Energy Power Heat07
  314.    wt: 1:   1 Energy Power Heat06
  315.    wt: 1:   E Energy Power05
  316.    wt: 1:   D Energy Power04
  317.    wt: 1:   C Energy Power03
  318.    wt: 1:   B Energy Power02
  319.    wt: 1:   A Energy Power01
  320.    wt: 1:   2 Conductance Resistance Duality02
  321.    wt: 1:   F Wire Resistance Calculation04
  322.    wt: 1:   E Wire Resistance Calculation03
  323.    wt: 1:   D Wire Resistance Calculation02
  324.    wt: 1:   C Wire Resistance Calculation01
  325.    wt: 1:   B Wire Resistance Qualitative02
  326.    wt: 1:   A Wire Resistance Qualitative01
  327.    wt: 1:   3 Like resistors in parallel
  328.    wt: 1:   2 Unlike resistors in parallel01
  329.    wt: 1:   1 Like resistors in series
  330.    wt: 1:   G Series Circuit01
  331.    wt: 1:   F Unlike Resistors in Series
  332.    wt: 1:   E Kirchoffs Second Law
  333.    wt: 1:   D Kirchoff First Law
  334.    wt: 1:   C Electromotive force conventional current02
  335.    wt: 1:   B Electromotive force conventional current01
  336.    wt: 1:   A Circuit Elements
  337.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  338.    wt: 1:   11 Help and Defend Your Child or Teens Education
  339.    wt: 1:   Ages 12 to 14 Arithmetic
  340.    wt: 1:   Ages 10 to 12 Arithmetic
  341.    wt: 1:   Ages 8 to 9
  342.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  343.    wt: 1:   sign monoticity analysis example 4
  344.    wt: 1:   sign monoticity analysis example 3
  345.    wt: 1:   sign monoticity analysis example 2
  346.    wt: 1:   sign monoticity analysis example 1
  347.    wt: 1:   9 quadratics physical and further context
  348.    wt: 1:   9 motivation for name arcsin
  349.    wt: 1:   9 Summary Degrees to Radians and back
  350.    wt: 1:   7 Radian Measures in special Triangles
  351.    wt: 1:   6 Radian Measure to Degrees
  352.    wt: 1:   5 Degrees to Radian Measure
  353.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  354.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  355.    wt: 1:   2 Radian Measure Numerical Value of one degree
  356.    wt: 1:   Straight Lines Intersection of
  357.    wt: 1:   30 unit circle calculation of six trigonometric functions
  358.    wt: 1:   29 secant cosecant and cotangent for acute angles
  359.    wt: 1:   20 sine and cosine Double Angle Formulas
  360.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  361.    wt: 1:   12 Graph of tangent function for one period
  362.    wt: 1:   9 Graphs of sine and cosine over one period
  363.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  364.    wt: 1:   1 Early Concept of Like or Similar Shapes
  365.    wt: 1:   A Modular and Remainder Arithmetic
  366.    wt: 1:   19 Signed Multiples of Vectors
  367.    wt: 1:   9 Division with Digits after Decimal Point
  368.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  369.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  370.    wt: 1:   E Long Division Methods more
  371.    wt: 1:   D Long Division Methods
  372.    wt: 1:   C Three Decimal Subtraction Methods
  373.    wt: 1:   B Decimal Comparison and Subtraction
  374.    wt: 1:   A Decimal Addition Columm Methods
  375.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  376.    wt: 1:   5 Proportionality in Equivalent Fractions
  377.    wt: 1:   4 Rates Ratios and Proporitionality
  378.    wt: 1:   3 Proportionality Examples
  379.    wt: 1:   2 Algebraic View
  380.    wt: 1:   1 What is Proportionality
  381.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  382.    wt: 1:   9 Coordinates for Regions in Space
  383.    wt: 1:   2 Integers
  384.    wt: 1:   9 Volume of Cone
  385.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  386.    wt: 1:   9 Sets in Probability and Statistics
  387.    wt: 1:   3 Adding Words To Arithmetic
  388.    wt: 1:   4 Greater More Less Than Signs in General
  389.    wt: 1:   3 Comparison of Negative Numbers
  390.    wt: 1:   2 More and Less Than with Unlike Signs
  391.    wt: 1:   1 More and Less Than for Counts and Measures
  392.    wt: 1:   5 Square Roots with primes more still
  393.    wt: 1:   4 Square Roots with primes more
  394.    wt: 1:   3 Properties of Square Roots with example
  395.    wt: 1:   2 Square Roots with Prime
  396.    wt: 1:   1 Squares and Square Roots Introduction
  397.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  398.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  399.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  400.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  401.    wt: 1:   13 GCD from given Prime Factorization
  402.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  403.    wt: 1:   8 GCD from Euclidean Algorithm
  404.    wt: 1:   7 GCD and LCM from prime factorization
  405.    wt: 1:   6 GCD from Prime
  406.    wt: 1:   5 Common Divisors 60 45 via Prime
  407.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  408.    wt: 1:   2 Least Common Multiple LCM intro via list method
  409.    wt: 1:   1 Least Common Multiples LCM Introduction
  410.    wt: 1:   12 GCD 2700 288 via Prime
  411.    wt: 1:   22 Complex Compound Fractions
  412.    wt: 1:   21 Working With Signs
  413.    wt: 1:   21 Reciprocals for Fractions and Wholes
  414.    wt: 1:   20 Dividing Fractions the Why
  415.    wt: 1:   18 Efficient Ways to Multiply
  416.    wt: 1:   17 Efficient Ways to Add and Subtract
  417.    wt: 1:   14 Adding and Subtracting with Like Denominators
  418.    wt: 1:   13 Fraction Comparison Algebraic View
  419.    wt: 1:   12 Fraction Comparison
  420.    wt: 1:   11 Simplification an Algebraic View
  421.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  422.    wt: 1:   8 Numerals Fractionals Quantals Take II
  423.    wt: 1:   7 Numerals Fractionals Quantals
  424.    wt: 1:   6 Multiplication of Mixed Numbers
  425.    wt: 1:   6 Multiplication Algebraically Take II
  426.    wt: 1:   5 Equivalent Fractions
  427.    wt: 1:   4 Fraction Multiplication
  428.    wt: 1:   3 Unit fraction of a fraction
  429.    wt: 1:   2 Unit Fraction Multiplication
  430.    wt: 1:   1 What is a fraction Take II
  431.    wt: 1:   1 What is a fraction
  432.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  433.    wt: 1:   20 Uniqueness of Prime Factorization
  434.    wt: 1:   18 video Count Factors given Prime Factorization
  435.    wt: 1:   17 Identify and Count Factors using Primes
  436.    wt: 1:   15 video Factors of 20 using Prime Factorization
  437.    wt: 1:   14 video Factors of 24 Take II
  438.    wt: 1:   13 video Factors of 24 using prime
  439.    wt: 1:   12 LCD GCD and LCM using Primes
  440.    wt: 1:   11 Efficient Square Rule Use
  441.    wt: 1:   10 video Prime Factorization upto 23 squared
  442.    wt: 1:   7 Calculator Usage Notes and Cautions
  443.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  444.    wt: 1:   5 Prime Factorization and a Square Rule
  445.    wt: 1:   4 video Prime Factorization Introduction
  446.    wt: 1:   2 Prime and Composites less than 16
  447.    wt: 1:   1 video how Products are bigger than factor
  448.    wt: 1:   11 Place Value SI Standard International way
  449.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  450.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  451.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  452.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  453.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  454.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  455.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  456.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  457.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  458.    wt: 1:   Quick history of numbers and algebra
  459.    wt: 1:   Formula Evaluation how to show work
  460.    wt: 1:   Expression Evaluation how to show work
  461.    wt: 1:   The 20 Times Table
  462.    wt: 1:   About folder contents
  463.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  464.    wt: 1:   5 Conversion Arithmetic
  465.    wt: 1:   A Chain Rule Real Player video examples
  466.    wt: 1:   38 Formulas and derivatives for powers and roots
  467.    wt: 1:   36 Cube root derivative animated
  468.    wt: 1:   29 Chain Rule Optional Reading
  469.    wt: 1:   19 Chain Rule for linear functions
  470.    wt: 1:   11 Quotient rule
  471.    wt: 1:   10 Power rule for negative integers
  472.    wt: 1:   9 Reciprocal rule
  473.    wt: 1:   2 Motivation for Limit Definition Take 1
  474.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  475.    wt: 1:   9 Limits Continuity and Composition
  476.    wt: 1:   G.5 Motions With Bounded Velocities
  477.    wt: 1:   F.1 What Functions are Continuous
  478.    wt: 1:   Fall 1983 Calculus Appetizer
  479.    wt: 1:   Postscript What is a Variable
  480.    wt: 1:   Solutions For Arithmetic Exercises
  481.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  482.    wt: 1:   Postscript B Mathematics Education References
  483.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  484.    wt: 1:   R Why Learn Mathematics Skills
  485.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  486.    wt: 1:   O On Learning Mathematics and Science
  487.    wt: 1:   N Mathematics Prepare for College Studies
  488.    wt: 1:   L Skills with take home value
  489.    wt: 1:   N Improving Marks on Tests and Finals
  490.    wt: 1:   J. More on written work and showing skill
  491.    wt: 1:   H more Routine to non routine problem solving
  492.    wt: 1:   H Jigsaw puzzles and problem solving
  493.    wt: 1:   G. Written work formats for developing and showing skill
  494.    wt: 1:   F. The student teacher tutor feedback loop
  495.    wt: 1:   E. When and how to correct errors
  496.    wt: 1:   D. Check work a must with a caution
  497.    wt: 1:   C. Domino effect of being careful
  498.    wt: 1:   B. Domino effect of errors
  499.    wt: 1:   A. Skill has to be seen to believed
  500.    wt: 1:   How to Build Skills and Confidence
  501.    wt: 1:   Chapter 1 Arithmetic
  502.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  503.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  504.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  505.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
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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