Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

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

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


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

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

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

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

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31 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   3 Prime Factorization Skills/
  4.    wt: 2:   Volume 2 Three Skills For Algebra/
  5.    wt: 2:   Volume 1 Elements of Reason/
  6.    wt: 1:   Mathematics Skills Year by Year/
  7.    wt: 1:   10 Examples of Algebraic Reasoning/
  8.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  9.    wt: 1:   11 Squares and Square Roots/
  10.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  11.    wt: 1:   9 Combinatorics Trees Tables and Products/
  12.    wt: 1:   8 Arithmetic with Signed Numbers/
  13.    wt: 1:   7 Arithmetic and Fractions with Units/
  14.    wt: 1:   6 Fractions and Ratios/
  15.    wt: 1:   5 Integers/
  16.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  17.    wt: 1:   D Decimal Long Division Methods/
  18.    wt: 1:   C Decimal Multiplication Methods/
  19.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  20.    wt: 1:   A Decimal Counting and Adding Methods/
  21.    wt: 1:   2 Arithmetic with Decimals/
  22.    wt: 1:   1 Decimal Place Value/
  23.    wt: 1:   Arithmetic and Number Theory Skills/
  24.    wt: 1:   Time Date Matters/
  25.    wt: 1:   Skills with take home value/
  26.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  27.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  28.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  29.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  30.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  31.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

68 matches:

  1.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  2.    wt: 1:   G LAMP Introduction Problem Solving Skills
  3.    wt: 1:   Skills Chapter 5 Calculus
  4.    wt: 1:   Skills Chapter 4 Logic
  5.    wt: 1:   Skills Chapter 3 Algebra
  6.    wt: 1:   Skills Chapter 2 Geometry
  7.    wt: 1:   Skills Chapter 1 Arithmetic
  8.    wt: 1:   Skills Chapter 0 Introduction
  9.    wt: 1:   teaching tutoring algebraic reason
  10.    wt: 1:   Different Kinds of Reasoning in maths
  11.    wt: 1:   three kinds of reason in mathematics
  12.    wt: 1:   chapitre 02 00 La Communication des idees
  13.    wt: 1:   24 Standards For Skill Develoment Take II
  14.    wt: 1:   24 Standards For Skill Develoment
  15.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  16.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  17.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  18.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  19.    wt: 1:   2 Reading and Writing Skills
  20.    wt: 1:   1 Speaking Skills
  21.    wt: 1:   Ages 12 to 14 Skills with take home value
  22.    wt: 1:   7 Exercises to test skill and concept mastery
  23.    wt: 1:   3 Multiplicative Counting Skills Principles
  24.    wt: 1:   2 Combing Counts Addition Skills and Principles
  25.    wt: 1:   Skill Development Notes
  26.    wt: 1:   11 Volume of Sphere
  27.    wt: 1:   10 Volume of Pyramid
  28.    wt: 1:   9 Volume of Cone
  29.    wt: 1:   5 Box Volume Formula Example
  30.    wt: 1:   1 Written work formats for developing and showing skill
  31.    wt: 1:   1 Three Skills For Algebra
  32.    wt: 1:   8 What skills and work habits to require
  33.    wt: 1:   1 Intro of Kids To Time Date Skills
  34.    wt: 1:   Example 2 volume of a cone
  35.    wt: 1:   Example 1 volume of a pyramid
  36.    wt: 1:   Volume of Solid by Cross Sections Lesson
  37.    wt: 1:   A Related Material in Volume 3
  38.    wt: 1:   A Related lessons in Volume 3
  39.    wt: 1:   Chapter 31 Direct and Indirect Reason
  40.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  41.    wt: 1:   Chapter 8 Three Skills For Algebra
  42.    wt: 1:   Chapter 4 Longer Chains of Reason
  43.    wt: 1:   Chapter 3 Chains of Reason
  44.    wt: 1:   Postscript C Consistency as a Tool for Reason
  45.    wt: 1:   Postscript B More on Story Telling and Reason
  46.    wt: 1:   Chapter 24 Direct and Indirect Reason
  47.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  48.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  49.    wt: 1:   Chapter 11 Accidental Patterns
  50.    wt: 1:   Chapter 7 Longer Chains of Reason
  51.    wt: 1:   Chapter 6 Chains of Reason
  52.    wt: 1:   Chapter 2 Skill Development
  53.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  54.    wt: 1:   R Why Learn Mathematics Skills
  55.    wt: 1:   L Skills with take home value
  56.    wt: 1:   J. More on written work and showing skill
  57.    wt: 1:   I. Logic and language skills
  58.    wt: 1:   G. Written work formats for developing and showing skill
  59.    wt: 1:   A. Skill has to be seen to believed
  60.    wt: 1:   How to Build Skills and Confidence
  61.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  62.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  63.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  64.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  65.    wt: 1:   More Algebra and Slope based Calculus Preview
  66.    wt: 1:   Systematic Algebra Skill Development Missing Links
  67.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  68.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Extended Search

487 matches:

  1.    wt: 7:   Postscript C Consistency as a Tool for Reason
  2.    wt: 7:   Postscript B More on Story Telling and Reason
  3.    wt: 7:   Chapter 24 Direct and Indirect Reason
  4.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  5.    wt: 7:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  6.    wt: 7:   Chapter 11 Accidental Patterns
  7.    wt: 7:   Chapter 7 Longer Chains of Reason
  8.    wt: 7:   Chapter 6 Chains of Reason
  9.    wt: 7:   Chapter 2 Skill Development
  10.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  11.    wt: 6:   Postscript A Story Telling
  12.    wt: 6:   Chapter 23 Truth Tables
  13.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  14.    wt: 6:   Chapter 21 Occurrence Tables
  15.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  16.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  17.    wt: 6:   Chapter 18 Sense and Knowledge
  18.    wt: 6:   Chapter 17 Objective Ways Trial and Error Discovery
  19.    wt: 6:   Chapter 15 Objective Processes
  20.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  21.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  22.    wt: 6:   Chapter 10 Responsibility
  23.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  24.    wt: 6:   Chapter 8 Change of Language
  25.    wt: 6:   Chapter 5 Deception
  26.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  27.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 3:   chapitre 02 00 La Communication des idees
  32.    wt: 3:   Chapter 31 Direct and Indirect Reason
  33.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
  34.    wt: 3:   Chapter 8 Three Skills For Algebra
  35.    wt: 3:   Chapter 4 Longer Chains of Reason
  36.    wt: 3:   Chapter 3 Chains of Reason
  37.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  38.    wt: 2:   chapitre 12 00 les iles et division
  39.    wt: 2:   chapitre 07 01 principle D induction mathematique
  40.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  41.    wt: 2:   chapitre 06 00 Chaines de la raison
  42.    wt: 2:   chapitre 05 00 Deception
  43.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  44.    wt: 2:   chapitre 04 09 Regles accidentelles
  45.    wt: 2:   chapitre 04 08 Limitations et benefices
  46.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  47.    wt: 2:   chapitre 04 06 engagements
  48.    wt: 2:   chapitre 04 05 Implication versus suggestion
  49.    wt: 2:   chapitre 04 04 Parlons de la logique
  50.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  51.    wt: 2:   chapitre 04 02 Deuxieme enigme
  52.    wt: 2:   chapitre 04 01 Premiere enigme
  53.    wt: 2:   chapitre 04 00 Les regles d implication
  54.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  55.    wt: 2:   chapitre 01 00 Introduction
  56.    wt: 2:   Ages 12 to 14 Skills with take home value
  57.    wt: 2:   20 Uniqueness of Prime Factorization
  58.    wt: 2:   19 video Prime Factorization Unique
  59.    wt: 2:   18 video Count Factors given Prime Factorization
  60.    wt: 2:   17 Identify and Count Factors using Primes
  61.    wt: 2:   16 video Factors of 980 using prime
  62.    wt: 2:   15 video Factors of 20 using Prime Factorization
  63.    wt: 2:   14 video Factors of 24 Take II
  64.    wt: 2:   13 video Factors of 24 using prime
  65.    wt: 2:   12 LCD GCD and LCM using Primes
  66.    wt: 2:   11 Efficient Square Rule Use
  67.    wt: 2:   10 video Prime Factorization upto 23 squared
  68.    wt: 2:   9 video Prime Factorization upto 19 squared
  69.    wt: 2:   8 video Prime Factorization upto 19
  70.    wt: 2:   7 Calculator Usage Notes and Cautions
  71.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  72.    wt: 2:   5 Prime Factorization and a Square Rule
  73.    wt: 2:   4 video Prime Factorization Introduction
  74.    wt: 2:   3 video Primes and Composites from 9 times table
  75.    wt: 2:   2 Prime and Composites less than 16
  76.    wt: 2:   1 video how Products are bigger than factor
  77.    wt: 2:   8 What skills and work habits to require
  78.    wt: 2:   1 Intro of Kids To Time Date Skills
  79.    wt: 2:   Example 2 volume of a cone
  80.    wt: 2:   Example 1 volume of a pyramid
  81.    wt: 2:   Volume of Solid by Cross Sections Lesson
  82.    wt: 2:   Area Between Curves Lesson Take 2
  83.    wt: 2:   A Related Material in Volume 3
  84.    wt: 2:   Postscript More on Better Performance
  85.    wt: 2:   Postscript For Better Performance
  86.    wt: 2:   Appendix E. How To Study Mathematics and Why
  87.    wt: 2:   Appendix D. What to do in School and Why
  88.    wt: 2:   Appendix C. How to Read
  89.    wt: 2:   Appendix B. How To Learn
  90.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  91.    wt: 2:   Chapter 30 Truth Tables
  92.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  93.    wt: 2:   Chapter 28 Occurrence Tables
  94.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  95.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  96.    wt: 2:   Chapter 25. Mathematical Induction Examples
  97.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  98.    wt: 2:   Chapter 23. Notation For Sums
  99.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  100.    wt: 2:   Chapter 21. Third Reading Guide
  101.    wt: 2:   Chapter 20. Degrees and Radians
  102.    wt: 2:   Chapter 19. Functions and Sets
  103.    wt: 2:   Chapter 18. Rules for Algebra
  104.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  105.    wt: 2:   Chapter 16. Painless Theorem Proving
  106.    wt: 2:   Chapter 15. Solving Linear Equations
  107.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  108.    wt: 2:   Chapter 13. Second Reading Guide
  109.    wt: 2:   Chapter 12. Shorthand Usage Guide
  110.    wt: 2:   Chapter 11. Why Shorthand
  111.    wt: 2:   Chapter 10 Describing and Changing Calculations
  112.    wt: 2:   Postscript What is a Variable
  113.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  114.    wt: 2:   Solutions For Arithmetic Exercises
  115.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  116.    wt: 2:   Chapter 6 Change of Language
  117.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  118.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  119.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  120.    wt: 2:   Foreword
  121.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  122.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  123.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  124.    wt: 2:   More Algebra and Slope based Calculus Preview
  125.    wt: 2:   Systematic Algebra Skill Development Missing Links
  126.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  127.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  128.    wt: 1:   G LAMP Introduction Problem Solving Skills
  129.    wt: 1:   Skills Chapter 5 Calculus
  130.    wt: 1:   Skills Chapter 4 Logic
  131.    wt: 1:   Skills Chapter 3 Algebra
  132.    wt: 1:   Skills Chapter 2 Geometry
  133.    wt: 1:   Skills Chapter 1 Arithmetic
  134.    wt: 1:   Skills Chapter 0 Introduction
  135.    wt: 1:   teaching tutoring algebraic reason
  136.    wt: 1:   Different Kinds of Reasoning in maths
  137.    wt: 1:   three kinds of reason in mathematics
  138.    wt: 1:   24 Standards For Skill Develoment Take II
  139.    wt: 1:   24 Standards For Skill Develoment
  140.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  141.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  142.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  143.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  144.    wt: 1:   2 Reading and Writing Skills
  145.    wt: 1:   1 Speaking Skills
  146.    wt: 1:   Ages 12 to 14 Geometry
  147.    wt: 1:   Ages 12 to 14 Arithmetic
  148.    wt: 1:   Ages 10 to 12 Geometry
  149.    wt: 1:   Ages 10 to 12 Arithmetic
  150.    wt: 1:   Ages 9 to 10
  151.    wt: 1:   Ages 8 to 9
  152.    wt: 1:   Ages 7 to 8
  153.    wt: 1:   Ages 6 to 7
  154.    wt: 1:   Ages 4 plus to 5 plus
  155.    wt: 1:   Ages 3 plus to 4 plus
  156.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  157.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  158.    wt: 1:   7 Exercises to test skill and concept mastery
  159.    wt: 1:   3 Multiplicative Counting Skills Principles
  160.    wt: 1:   2 Combing Counts Addition Skills and Principles
  161.    wt: 1:   5 Areas of Rectangles Revisited
  162.    wt: 1:   4 Fraction Operations Axiomatic Development
  163.    wt: 1:   3 Inequalities Algebraically
  164.    wt: 1:   2 Fraction Operations Physical Development
  165.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  166.    wt: 1:   Skill Development Notes
  167.    wt: 1:   11 Volume of Sphere
  168.    wt: 1:   10 Volume of Pyramid
  169.    wt: 1:   9 Volume of Cone
  170.    wt: 1:   5 Box Volume Formula Example
  171.    wt: 1:   1 Written work formats for developing and showing skill
  172.    wt: 1:   1 Three Skills For Algebra
  173.    wt: 1:   arithmetic videos Real Player Format
  174.    wt: 1:   4 Greater More Less Than Signs in General
  175.    wt: 1:   3 Comparison of Negative Numbers
  176.    wt: 1:   2 More and Less Than with Unlike Signs
  177.    wt: 1:   1 More and Less Than for Counts and Measures
  178.    wt: 1:   5 Square Roots with primes more still
  179.    wt: 1:   4 Square Roots with primes more
  180.    wt: 1:   3 Properties of Square Roots with example
  181.    wt: 1:   2 Square Roots with Prime
  182.    wt: 1:   1 Squares and Square Roots Introduction
  183.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  184.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  185.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  186.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  187.    wt: 1:   13 GCD from given Prime Factorization
  188.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  189.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  190.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  191.    wt: 1:   8 GCD from Euclidean Algorithm
  192.    wt: 1:   7 GCD and LCM from prime factorization
  193.    wt: 1:   6 GCD from Prime
  194.    wt: 1:   5 Common Divisors 60 45 via Prime
  195.    wt: 1:   4 LCM of 8 and 10 via Prime
  196.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  197.    wt: 1:   2 Least Common Multiple LCM intro via list method
  198.    wt: 1:   1 Least Common Multiples LCM Introduction
  199.    wt: 1:   12 GCD 2700 288 via Prime
  200.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  201.    wt: 1:   4 Counting with Trees Product Rule Take I
  202.    wt: 1:   3 Counting with Tables and Trees II
  203.    wt: 1:   2 Counting with Tables and Trees I
  204.    wt: 1:   1 Counting and Counting Methods I
  205.    wt: 1:   11 What are real lengths and numbers
  206.    wt: 1:   10 dividing signed numbers
  207.    wt: 1:   9 subtracting signed numbers
  208.    wt: 1:   8 multiplying signed numbers
  209.    wt: 1:   7 negative and additive inverse
  210.    wt: 1:   6 adding signed numbers
  211.    wt: 1:   5 lengths and signs of numbers
  212.    wt: 1:   4 signed coordinates for regions in space
  213.    wt: 1:   3 signed coordinates for maps and planes
  214.    wt: 1:   2 signed and unsigned numbers as coordinates
  215.    wt: 1:   7 Converting or Changing Units
  216.    wt: 1:   6 Simplification of Fractions with Units
  217.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  218.    wt: 1:   4 Fractions with Units
  219.    wt: 1:   3 Multiplying Units and Numbers
  220.    wt: 1:   2 Equality and Units
  221.    wt: 1:   1 Addition and Subtraction with Units
  222.    wt: 1:   D Three Term Ratios
  223.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  224.    wt: 1:   B Fractions and Two Term Ratios
  225.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  226.    wt: 1:   22 Complex Compound Fractions
  227.    wt: 1:   21 Working With Signs
  228.    wt: 1:   21 Reciprocals for Fractions and Wholes
  229.    wt: 1:   20 Dividing Fractions the Why
  230.    wt: 1:   19 Dividing Fractions How TO
  231.    wt: 1:   18 Efficient Ways to Multiply
  232.    wt: 1:   17 Efficient Ways to Add and Subtract
  233.    wt: 1:   16 Addition Subtraction Comparision Compared
  234.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  235.    wt: 1:   14 Adding and Subtracting with Like Denominators
  236.    wt: 1:   13 Fraction Comparison Algebraic View
  237.    wt: 1:   12 Fraction Comparison
  238.    wt: 1:   11 Simplification an Algebraic View
  239.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  240.    wt: 1:   9 Improper Fractions and Mixed Numbers
  241.    wt: 1:   8 Numerals Fractionals Quantals Take II
  242.    wt: 1:   7 Numerals Fractionals Quantals
  243.    wt: 1:   6 Multiplication of Mixed Numbers
  244.    wt: 1:   6 Multiplication Algebraically Take II
  245.    wt: 1:   5 Equivalent Fractions
  246.    wt: 1:   4 Fraction Multiplication
  247.    wt: 1:   3 Unit fraction of a fraction
  248.    wt: 1:   2 Unit Fraction Multiplication
  249.    wt: 1:   1 What is a fraction Take II
  250.    wt: 1:   1 What is a fraction
  251.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  252.    wt: 1:   D Remainders Modulo 11 Pair Rule
  253.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  254.    wt: 1:   B Integer Long Division Multiple Choices
  255.    wt: 1:   A Associative Law Theorectical Note
  256.    wt: 1:   13 Subtraction with Additive Inverse
  257.    wt: 1:   12 Adding Integers More Examples
  258.    wt: 1:   11 Adding Integers Formulas and Examples
  259.    wt: 1:   10 Integer Multiplication Formulas
  260.    wt: 1:   9 Multiplying Integers
  261.    wt: 1:   8 Multiplication by Signed Numbers Integers
  262.    wt: 1:   7 Multiplication by Signs
  263.    wt: 1:   6 Multiplication by Natural Numbers
  264.    wt: 1:   5 Zero Movement and Additive Inverses
  265.    wt: 1:   4 Adding Movements wiht opposite directions
  266.    wt: 1:   3 Adding Movements with same direction
  267.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  268.    wt: 1:   1 Integers as Coordinates
  269.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  270.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  271.    wt: 1:   26 Divisibility by 2 3 5 Example
  272.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  273.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  274.    wt: 1:   23 Remainder Arithmetic Modulo 2
  275.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  276.    wt: 1:   21 Remainder Arithmetic Modulo 3
  277.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  278.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  279.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  280.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  281.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  282.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  283.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  284.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  285.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  286.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  287.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  288.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  289.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  290.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  291.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  292.    wt: 1:   5 Remainder Arithmetic Modulo 5
  293.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  294.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  295.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  296.    wt: 1:   1 Remainder Arithmetic Modulo 10
  297.    wt: 1:   Long Division Backwards more
  298.    wt: 1:   Long Division Backward
  299.    wt: 1:   Division with Counts and Length
  300.    wt: 1:   Long Division forwards and backwards Example 3
  301.    wt: 1:   Long Division forwards and backwards Example 2
  302.    wt: 1:   Long Division forwards and backwards Example 1
  303.    wt: 1:   12 Why Long Division Works Take III
  304.    wt: 1:   11 Another Single Digit Divisor Example
  305.    wt: 1:   10 Division by Five Long and Short Ways
  306.    wt: 1:   9 Why Long Division Works Take II
  307.    wt: 1:   8 Correcting the Mistake
  308.    wt: 1:   7 Long Divison Mistake Catching
  309.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  310.    wt: 1:   5 Long Division Include Zeroes or not
  311.    wt: 1:   4 Division with 2 Digit Divsors
  312.    wt: 1:   3 Division Single Digit Divisor Example
  313.    wt: 1:   2 Division with Single Digit Divisors
  314.    wt: 1:   1 Divsion Physical Examples
  315.    wt: 1:   D Decimal Multiplication Methods Derived
  316.    wt: 1:   C Counting Areas with Powers of Ten
  317.    wt: 1:   B Powers of Ten
  318.    wt: 1:   A Elementary Basis for Multiplication Methods
  319.    wt: 1:   6 Multiplication Commutes Order Not Important
  320.    wt: 1:   5 Decimal Fraction Multiplication
  321.    wt: 1:   4 Two and Three Digit Multipliers
  322.    wt: 1:   3 More One Digit Multipliers
  323.    wt: 1:   2 One Digit Multipliers
  324.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  325.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  326.    wt: 1:   Video Power Notation in Decimal Expansion
  327.    wt: 1:   1 Why 3 times 5 gives 15
  328.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  329.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  330.    wt: 1:   Subtraction with J Conversions Example
  331.    wt: 1:   Subtraction Another Video Lesson
  332.    wt: 1:   9 22 Minute Subtraction Review Video
  333.    wt: 1:   8 Subtraction with Units of Measure
  334.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  335.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  336.    wt: 1:   5 A Tip for Efficent Subtraction
  337.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  338.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  339.    wt: 1:   2 Subtraction Easy Case Examples
  340.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  341.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  342.    wt: 1:   7 Adding decimal fractions using decimal point
  343.    wt: 1:   6. Counting and adding units and mixed units
  344.    wt: 1:   5. How to add decimals C. Examples
  345.    wt: 1:   4. How to add with decimals B with conversions
  346.    wt: 1:   3. How to add with decimals A sans conversions
  347.    wt: 1:   2 Decimal Counting Practices
  348.    wt: 1:   1. Explaining Addition Table
  349.    wt: 1:   11 Place Value SI Standard International way
  350.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  351.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  352.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  353.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  354.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  355.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  356.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  357.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  358.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  359.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  360.    wt: 1:   Quick history of numbers and algebra
  361.    wt: 1:   Exact Arithmetic Wholes and Fractions
  362.    wt: 1:   Formula Evaluation how to show work
  363.    wt: 1:   Expression Evaluation how to show work
  364.    wt: 1:   The 20 Times Table
  365.    wt: 1:   The 12 Times Table Visually
  366.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  367.    wt: 1:   About folder contents
  368.    wt: 1:   016 Numbering Occidental Calendar Days
  369.    wt: 1:   015 School and work day counting tables
  370.    wt: 1:   014 Counting Days with Calendars
  371.    wt: 1:   013 Travel Time Tables
  372.    wt: 1:   012 Division of Time Intervals by Time Intervals
  373.    wt: 1:   011 Division of Time Intervals By Numbers
  374.    wt: 1:   010 Repeated Addition of Time Intervals
  375.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  376.    wt: 1:   8 Addition of Time Intervals via subtotaling
  377.    wt: 1:   7 Addition of Time Intervals
  378.    wt: 1:   6 How long is a million seconds
  379.    wt: 1:   5 Conversion Arithmetic
  380.    wt: 1:   4 Mixing and Changing Units of Time
  381.    wt: 1:   3 Units and Lengths of Time
  382.    wt: 1:   2 Time and Date Matters in School
  383.    wt: 1:   Example 1. Area Between x and x squared
  384.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  385.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  386.    wt: 1:   Example 4 with x function of y
  387.    wt: 1:   Example 3
  388.    wt: 1:   Example 2
  389.    wt: 1:   Example 1
  390.    wt: 1:   Area Between Curves Lesson Take 1
  391.    wt: 1:   Summary
  392.    wt: 1:   A Related lessons in Volume 3
  393.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  394.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  395.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  396.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  397.    wt: 1:   G.5 Motions With Bounded Velocities
  398.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  399.    wt: 1:   G.3 Constant Difference Theorem Proof
  400.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  401.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  402.    wt: 1:   F.5b Extreme Value Theorem
  403.    wt: 1:   F.5a Equicontinuity Theorems
  404.    wt: 1:   F.4 Finite Covering Theorem
  405.    wt: 1:   F.3 Intermediate Value Theorem
  406.    wt: 1:   F.2 Closed Range Theorem
  407.    wt: 1:   F.1 What Functions are Continuous
  408.    wt: 1:   E2 Algebraic Properties of Limits
  409.    wt: 1:   E1 Error Control Inequalities
  410.    wt: 1:   D2 Limits of Monotone Sequences
  411.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  412.    wt: 1:   C Triangle Inequalities
  413.    wt: 1:   B3 Bolzano Weierstrass Theorem
  414.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  415.    wt: 1:   PostScript For and Against Decimal Perspectives
  416.    wt: 1:   A1. Introduction
  417.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  418.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  419.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  420.    wt: 1:   Chapter 23 Links To Trigonometry
  421.    wt: 1:   Chapter 22 Complex Numbers
  422.    wt: 1:   Chapter 21 Arrow Addition
  423.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  424.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  425.    wt: 1:   Chapter 18. Slopes Areas Integration
  426.    wt: 1:   Chapter 17. Area Approximation
  427.    wt: 1:   Chapter 16. Velocity Approximation
  428.    wt: 1:   Chapter 15. Slope Approximation
  429.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  430.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  431.    wt: 1:   Chapter 13. Acceleration
  432.    wt: 1:   Chapter 12. Units and Slopes
  433.    wt: 1:   Chapter 11. Graphing Slope versus Position
  434.    wt: 1:   Chapter 10 Slopes and Units
  435.    wt: 1:   Chapter 9 About First Courses in Calculus
  436.    wt: 1:   Chapter 8. Slope Interpretation
  437.    wt: 1:   Chapter 7 Slopes and Velocity
  438.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  439.    wt: 1:   Chapter 5. Slope Sign Tests
  440.    wt: 1:   Chapter 4. More Slope Sign Analysis
  441.    wt: 1:   Chapter 3. Slope Sign Analysis
  442.    wt: 1:   Chapter 2. Slopes and Ski Trails
  443.    wt: 1:   Chapter 1.Introduction
  444.    wt: 1:   Fall 1983 Calculus Appetizer
  445.    wt: 1:   Foreword
  446.    wt: 1:   Annotated Links to Material Elsehwere
  447.    wt: 1:   Postscript B Mathematics Education References
  448.    wt: 1:   Postscript A Three Remarks
  449.    wt: 1:   Chapter 12 Four Phases
  450.    wt: 1:   Chapter 11 Elementary Instruction
  451.    wt: 1:   Chapter 10 Transition
  452.    wt: 1:   Chapter 9 The Two Ends
  453.    wt: 1:   Chapter 8 Modern Instruction
  454.    wt: 1:   Chapter 7 Two Treatments of Geometry
  455.    wt: 1:   Chapter 5 Four References
  456.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  457.    wt: 1:   Chapter 3 Algebra Difficulties
  458.    wt: 1:   Chapter 2 For and Against Mathematics
  459.    wt: 1:   Chapter 1 Introduction
  460.    wt: 1:   Foreword
  461.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  462.    wt: 1:   R Why Learn Mathematics Skills
  463.    wt: 1:   L Skills with take home value
  464.    wt: 1:   J. More on written work and showing skill
  465.    wt: 1:   I. Logic and language skills
  466.    wt: 1:   G. Written work formats for developing and showing skill
  467.    wt: 1:   A. Skill has to be seen to believed
  468.    wt: 1:   How to Build Skills and Confidence
  469.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  470.    wt: 1:   7 Games and Activities for Instruction
  471.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  472.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  473.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  474.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  475.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  476.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  477.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  478.    wt: 1:   Helping the Blind in Logic and Mathematics
  479.    wt: 1:   Mathematics Education References
  480.    wt: 1:   Mathematics Education References
  481.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  482.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  483.    wt: 1:   Implementation Notes
  484.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  485.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  486.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  487.    wt: 1:   Which Way To Go

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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