Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: 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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may 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.

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  1.    wt: 8:   2 Natural Logarithms Exponentials Powers Roots/
  2.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  3.    wt: 2:   4 Functions/
  4.    wt: 2:   3 Quadratics Geometrically/
  5.    wt: 2:   1 Five Polynomial Operations/
  6.    wt: 2:   More Algebra/
  7.    wt: 2:   10 Examples of Algebraic Reasoning/
  8.    wt: 2:   8 Unifying Theme For Algebra/
  9.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  10.    wt: 1:   B Real Numbers Extrinsic Development/
  11.    wt: 1:   A Origins of Counting and Figuring Methods/
  12.    wt: 1:   9 Proportionality Backwards and Forwards/
  13.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  14.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  15.    wt: 1:   5 Real Numbers/
  16.    wt: 1:   4 Computation Rules and Function Notation/
  17.    wt: 1:   Step 4 Gaussian Elimination/
  18.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  19.    wt: 1:   Step 1 Stick diagram and fractions/
  20.    wt: 1:   3 Solving Linear Equations/
  21.    wt: 1:   2 Formula Forward Use Evaluation/
  22.    wt: 1:   1 Working With Sets/
  23.    wt: 1:   Algebra Starter Lessons/
  24.    wt: 1:   11 Squares and Square Roots/
  25.    wt: 1:   Volume 2 Three Skills For Algebra/

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60 matches:

  1.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 3:   21 Logarithms Powers and Exponentials
  3.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  4.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  5.    wt: 2:   5 logarithms and exponentials etc
  6.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  7.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 2:   38 Formulas and derivatives for powers and roots
  9.    wt: 1:   Ramblings Introduction Algebra Essay
  10.    wt: 1:   Skills Chapter 3 Algebra
  11.    wt: 1:   4 algebra
  12.    wt: 1:   talk the algebra talk
  13.    wt: 1:   geometric implications for algebra
  14.    wt: 1:   teaching tutoring algebraic reason
  15.    wt: 1:   Lessening Algebra Difficulties
  16.    wt: 1:   the trouble with algebra
  17.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  18.    wt: 1:   2 Algebraic use of function notation
  19.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  20.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  21.    wt: 1:   5 Natural Logarithm Calculator Exercises
  22.    wt: 1:   Rewriting algebraic substitution as function substitutions
  23.    wt: 1:   20 N th Roots of Complex Numbers
  24.    wt: 1:   19 N th Roots of Unity
  25.    wt: 1:   18 Sixth Roots of Unity
  26.    wt: 1:   17 Cube Roots of unity
  27.    wt: 1:   Why Trigonometry the whyslopes view
  28.    wt: 1:   5 Algebraic View of Slopes
  29.    wt: 1:   3 Inequalities Algebraically
  30.    wt: 1:   2 Algebraic View
  31.    wt: 1:   5 Equality in Algebra
  32.    wt: 1:   1 Whole and Natural Numbers
  33.    wt: 1:   6 Algebraic Solution Example
  34.    wt: 1:   5 Algebraic Solutions Introduction
  35.    wt: 1:   4 A Brief Story of numbers and algebra
  36.    wt: 1:   1 Three Skills For Algebra
  37.    wt: 1:   5 Square Roots with primes more still
  38.    wt: 1:   4 Square Roots with primes more
  39.    wt: 1:   3 Properties of Square Roots with example
  40.    wt: 1:   2 Square Roots with Prime
  41.    wt: 1:   1 Squares and Square Roots Introduction
  42.    wt: 1:   13 Fraction Comparison Algebraic View
  43.    wt: 1:   11 Simplification an Algebraic View
  44.    wt: 1:   6 Multiplication Algebraically Take II
  45.    wt: 1:   6 Multiplication by Natural Numbers
  46.    wt: 1:   C Counting Areas with Powers of Ten
  47.    wt: 1:   B Powers of Ten
  48.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  49.    wt: 1:   Quick history of numbers and algebra
  50.    wt: 1:   21 Chain Rule for powers
  51.    wt: 1:   2 Algebraic codification
  52.    wt: 1:   E2 Algebraic Properties of Limits
  53.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  54.    wt: 1:   Chapter 18. Rules for Algebra
  55.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  56.    wt: 1:   Chapter 8 Three Skills For Algebra
  57.    wt: 1:   Chapter 3 Algebra Difficulties
  58.    wt: 1:   S Adding words to algebra
  59.    wt: 1:   More Algebra and Slope based Calculus Preview
  60.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

299 matches:

  1.    wt: 9:   9 Formulas for Real Exponents with Logarithms
  2.    wt: 9:   8 Formulas for Fractional Exponents with Logarithms
  3.    wt: 9:   5 Natural Logarithm Calculator Exercises
  4.    wt: 8:   11 Growth and Decay in Biology
  5.    wt: 8:   10 Exponential Growth and Decay Models
  6.    wt: 8:   2 Square Root Simplification a prequel
  7.    wt: 8:   1 Calculator Starter Exercises
  8.    wt: 3:   2 Algebraic use of function notation
  9.    wt: 3:   Rewriting algebraic substitution as function substitutions
  10.    wt: 3:   21 Logarithms Powers and Exponentials
  11.    wt: 3:   3 Inequalities Algebraically
  12.    wt: 3:   6 Algebraic Solution Example
  13.    wt: 3:   5 Algebraic Solutions Introduction
  14.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  15.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  16.    wt: 2:   5 logarithms and exponentials etc
  17.    wt: 2:   sign monoticity analysis example 4
  18.    wt: 2:   sign monoticity analysis example 3
  19.    wt: 2:   sign monoticity analysis example 2
  20.    wt: 2:   sign monoticity analysis example 1
  21.    wt: 2:   26 Function definitions done and coming
  22.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  23.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  24.    wt: 2:   23 Inverse Functions
  25.    wt: 2:   22 Square Root function graphically
  26.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  27.    wt: 2:   20 Interchanging coordinates a reflection
  28.    wt: 2:   19 Horizontal line rule and method
  29.    wt: 2:   18 Vertical Line Rule and Method
  30.    wt: 2:   17 Function maxima minima and their location
  31.    wt: 2:   16 Increasing or decreasing on intervals
  32.    wt: 2:   15 Sign analysis of functions
  33.    wt: 2:   14 Surjections Injections Bijections
  34.    wt: 2:   13 From one to one to many to one
  35.    wt: 2:   12 Function Domain Recognition Exercises
  36.    wt: 2:   11 Function Domain Range Source and Targets
  37.    wt: 2:   10 Interval Notation
  38.    wt: 2:   9 Set theory term relation possible origins
  39.    wt: 2:   8 Set view of relations and functions
  40.    wt: 2:   7 Functions with finite domains
  41.    wt: 2:   6 Set Existence Formation and Notation
  42.    wt: 2:   5 Function notation for geometric transformations
  43.    wt: 2:   4 Function notation in and beyond mathematics
  44.    wt: 2:   3 Formula or function graphing exercise
  45.    wt: 2:   1 Geometric Introduction of Function Notation
  46.    wt: 2:   Introduction Reading Guide
  47.    wt: 2:   A Quadratics Summary
  48.    wt: 2:   10 quadratic exercises
  49.    wt: 2:   9 quadratics physical and further context
  50.    wt: 2:   8 quadratics backward use of various formulas
  51.    wt: 2:   7 quadratic formulla derivation
  52.    wt: 2:   6 quadratics numerical approach
  53.    wt: 2:   5 quadratics completing the square
  54.    wt: 2:   4 quadratics difference of two squares
  55.    wt: 2:   3 quadratics factoring by inspection
  56.    wt: 2:   2 quadratics graphing in general
  57.    wt: 2:   1 quadratics graphing exercises
  58.    wt: 2:   Quadratics in 10 steps
  59.    wt: 2:   8 Notes for instructors or tutors
  60.    wt: 2:   7 Links Lessons Elsewhere
  61.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  62.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  63.    wt: 2:   4 Polynomials Long division linear divisor
  64.    wt: 2:   3 Polynomials Multiplication Addition
  65.    wt: 2:   2 Column Multiplication Method
  66.    wt: 2:   1 Polynomials Distributive Law
  67.    wt: 2:   5 Areas of Rectangles Revisited
  68.    wt: 2:   4 Fraction Operations Axiomatic Development
  69.    wt: 2:   2 Fraction Operations Physical Development
  70.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  71.    wt: 2:   2 Algebraic View
  72.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  73.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  74.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  75.    wt: 2:   6 Compound Interest Forward and Backwards
  76.    wt: 2:   5 Triangle Area Formula Backwards
  77.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  78.    wt: 2:   3 Linear Equation Literal Solution More
  79.    wt: 2:   2 Linear Equation Literal Solution
  80.    wt: 2:   1 Changing Calculations
  81.    wt: 2:   5 Equality in Algebra
  82.    wt: 2:   1 Whole and Natural Numbers
  83.    wt: 2:   4 Four Examples Fractional Coefficients
  84.    wt: 2:   3 Four Examples
  85.    wt: 2:   2 Three Examples
  86.    wt: 2:   1 Proper Equal Sign Usage
  87.    wt: 2:   4 A Brief Story of numbers and algebra
  88.    wt: 2:   1 Three Skills For Algebra
  89.    wt: 2:   5 Square Roots with primes more still
  90.    wt: 2:   4 Square Roots with primes more
  91.    wt: 2:   3 Properties of Square Roots with example
  92.    wt: 2:   2 Square Roots with Prime
  93.    wt: 2:   1 Squares and Square Roots Introduction
  94.    wt: 2:   38 Formulas and derivatives for powers and roots
  95.    wt: 2:   Chapter 18. Rules for Algebra
  96.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  97.    wt: 2:   Chapter 8 Three Skills For Algebra
  98.    wt: 1:   Ramblings Introduction Algebra Essay
  99.    wt: 1:   Skills Chapter 3 Algebra
  100.    wt: 1:   4 algebra
  101.    wt: 1:   talk the algebra talk
  102.    wt: 1:   geometric implications for algebra
  103.    wt: 1:   teaching tutoring algebraic reason
  104.    wt: 1:   Lessening Algebra Difficulties
  105.    wt: 1:   the trouble with algebra
  106.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  107.    wt: 1:   20 N th Roots of Complex Numbers
  108.    wt: 1:   19 N th Roots of Unity
  109.    wt: 1:   18 Sixth Roots of Unity
  110.    wt: 1:   17 Cube Roots of unity
  111.    wt: 1:   Why Trigonometry the whyslopes view
  112.    wt: 1:   5 Algebraic View of Slopes
  113.    wt: 1:   musings do not puiblish real numbers
  114.    wt: 1:   A Modular and Remainder Arithmetic
  115.    wt: 1:   A Signed Number Arithmetic Review
  116.    wt: 1:   26 More Less Greater Than Comparison
  117.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  118.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  119.    wt: 1:   23 Distributive Law Two Derivations
  120.    wt: 1:   22 Multiplication of Signed Numbers
  121.    wt: 1:   21 Addition of Multiples of a Single Vector
  122.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  123.    wt: 1:   19 Signed Multiples of Vectors
  124.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  125.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  126.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  127.    wt: 1:   15 Head to Tails in place Addition Associative
  128.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  129.    wt: 1:   13 Arrows and Vectors in a Plane
  130.    wt: 1:   12 Real Numbers Line Signed Coordinates
  131.    wt: 1:   11 Signed Number Addition and Addition Properties
  132.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  133.    wt: 1:   9 Division with Digits after Decimal Point
  134.    wt: 1:   8 Division and Mulplication of Compound Fractions
  135.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  136.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  137.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  138.    wt: 1:   4 Location of Point in Decimal Addition
  139.    wt: 1:   3 Location of Point in Decimal Multiplication
  140.    wt: 1:   2 Counting Digits in Decimal Multiplication
  141.    wt: 1:   1 Fractions with Finite Decimal Expansions
  142.    wt: 1:   E Long Division Methods more
  143.    wt: 1:   D Long Division Methods
  144.    wt: 1:   C Three Decimal Subtraction Methods
  145.    wt: 1:   B Decimal Comparison and Subtraction
  146.    wt: 1:   A Decimal Addition Columm Methods
  147.    wt: 1:   8 Column Multiplication Methods in General
  148.    wt: 1:   7 Decimals Multiplication Methods Examples
  149.    wt: 1:   6 Column Methods for Decimal Multiplication
  150.    wt: 1:   5 Distributive Law for Whole Numbers
  151.    wt: 1:   4 Commutative Law Groups Counting Form
  152.    wt: 1:   3 Multiplicative Counting Skills Principles
  153.    wt: 1:   2 Combing Counts Addition Skills and Principles
  154.    wt: 1:   1 The Counting Origins of Numbers
  155.    wt: 1:   5 Proportionality in Equivalent Fractions
  156.    wt: 1:   4 Rates Ratios and Proporitionality
  157.    wt: 1:   3 Proportionality Examples
  158.    wt: 1:   1 What is Proportionality
  159.    wt: 1:   6 Equations and Systems Equivalent or Implied
  160.    wt: 1:   4 Subtraction and Division Axioms
  161.    wt: 1:   3 Product Axioms Two Forms
  162.    wt: 1:   2 Addition and Multiplication Axioms
  163.    wt: 1:   1 Equivalent Computation Rules
  164.    wt: 1:   5 Greater More Less Than Signs in General
  165.    wt: 1:   4 Comparison of Negative Numbers
  166.    wt: 1:   3 More and Less Than with Unlike Signs
  167.    wt: 1:   2 More and Less Than for Counts and Measures
  168.    wt: 1:   1 Real Numbers Comparison
  169.    wt: 1:   16 Real Numbers Comparison
  170.    wt: 1:   15 Real Number Division
  171.    wt: 1:   14 Real Number Multiplication
  172.    wt: 1:   13 Real Number Subtraction
  173.    wt: 1:   12 Real Number Additive Inverses or Negatives
  174.    wt: 1:   11 Real Number Addition
  175.    wt: 1:   10 Real Number Lengths and Signs
  176.    wt: 1:   9 Coordinates for Regions in Space
  177.    wt: 1:   8 Coordinates for Maps and Planes
  178.    wt: 1:   7 Real Numbers as Line Cordinates
  179.    wt: 1:   6 Unsigned Real Numbers
  180.    wt: 1:   5 Rational Numbers More
  181.    wt: 1:   4 Rational Numbers
  182.    wt: 1:   3 Fractions
  183.    wt: 1:   2 Integers
  184.    wt: 1:   5 Independent versus Dependent Variables
  185.    wt: 1:   4 Changing Letters
  186.    wt: 1:   3 Geometric Formulas and Function Notation
  187.    wt: 1:   2 Computation Rules Evaluation
  188.    wt: 1:   1 Formulas Dependence and Function Notation
  189.    wt: 1:   More Exercises
  190.    wt: 1:   Simple Exercises
  191.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  192.    wt: 1:   4 GE III Animated Examples
  193.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  194.    wt: 1:   3 GE III Equation Addition and Multiplication
  195.    wt: 1:   2 GE II Comparison
  196.    wt: 1:   1 GE Substitution four examples
  197.    wt: 1:   4 Solving a triangular system exercise
  198.    wt: 1:   3 Solving triangular system example
  199.    wt: 1:   2 Essentially one exercises three with solution
  200.    wt: 1:   1 Essentially One Unknown
  201.    wt: 1:   Skill Development Notes
  202.    wt: 1:   10 One Example
  203.    wt: 1:   9 Three Examples
  204.    wt: 1:   8 One Example
  205.    wt: 1:   7 Two Examples
  206.    wt: 1:   6 Three Examples
  207.    wt: 1:   5 Three Examples
  208.    wt: 1:   4 Two Examples
  209.    wt: 1:   3 Two Examples
  210.    wt: 1:   2 Three Examples
  211.    wt: 1:   Using Letters for Physical Quantities
  212.    wt: 1:   Formula Usage Show Work Format
  213.    wt: 1:   13 Naming Identifying Formulas with Words
  214.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  215.    wt: 1:   11 Volume of Sphere
  216.    wt: 1:   10 Volume of Pyramid
  217.    wt: 1:   9 Volume of Cone
  218.    wt: 1:   8 Compound Interest Formula Evaluation
  219.    wt: 1:   7 Compound Interest Formula Introduction
  220.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  221.    wt: 1:   5 Box Volume Formula Example
  222.    wt: 1:   4 Circle Area Formula Example
  223.    wt: 1:   3 Triangle Area Formula Example
  224.    wt: 1:   2 Another Rectangle Area Formula Example
  225.    wt: 1:   1 Written work formats for developing and showing skill
  226.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  227.    wt: 1:   9 Sets in Probability and Statistics
  228.    wt: 1:   8 Sets of Numbers
  229.    wt: 1:   7 Cautious or Safe Set Construction
  230.    wt: 1:   6 Power Set Notation
  231.    wt: 1:   5 Product Builder Notation
  232.    wt: 1:   4 Subset Builder Notation
  233.    wt: 1:   3 Counting with Sets etc
  234.    wt: 1:   2 Venn Diagrams
  235.    wt: 1:   1 Finite Sets
  236.    wt: 1:   6 Three Notions of What is a Variable
  237.    wt: 1:   5 Talking about Numbers and Quantities
  238.    wt: 1:   3 Adding Words To Arithmetic
  239.    wt: 1:   2 What is a Variable
  240.    wt: 1:   About Folder Contents
  241.    wt: 1:   13 Fraction Comparison Algebraic View
  242.    wt: 1:   11 Simplification an Algebraic View
  243.    wt: 1:   6 Multiplication Algebraically Take II
  244.    wt: 1:   6 Multiplication by Natural Numbers
  245.    wt: 1:   C Counting Areas with Powers of Ten
  246.    wt: 1:   B Powers of Ten
  247.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  248.    wt: 1:   Quick history of numbers and algebra
  249.    wt: 1:   21 Chain Rule for powers
  250.    wt: 1:   2 Algebraic codification
  251.    wt: 1:   E2 Algebraic Properties of Limits
  252.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  253.    wt: 1:   Postscript More on Better Performance
  254.    wt: 1:   Postscript For Better Performance
  255.    wt: 1:   Appendix E. How To Study Mathematics and Why
  256.    wt: 1:   Appendix D. What to do in School and Why
  257.    wt: 1:   Appendix C. How to Read
  258.    wt: 1:   Appendix B. How To Learn
  259.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  260.    wt: 1:   Chapter 31 Direct and Indirect Reason
  261.    wt: 1:   Chapter 30 Truth Tables
  262.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  263.    wt: 1:   Chapter 28 Occurrence Tables
  264.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  265.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  266.    wt: 1:   Chapter 25. Mathematical Induction Examples
  267.    wt: 1:   Chapter 25. Mathematical Induction Examples
  268.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  269.    wt: 1:   Chapter 23. Notation For Sums
  270.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  271.    wt: 1:   Chapter 21. Third Reading Guide
  272.    wt: 1:   Chapter 20. Degrees and Radians
  273.    wt: 1:   Chapter 19. Functions and Sets
  274.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  275.    wt: 1:   Chapter 16. Painless Theorem Proving
  276.    wt: 1:   Chapter 15. Solving Linear Equations
  277.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  278.    wt: 1:   Chapter 13. Second Reading Guide
  279.    wt: 1:   Chapter 12. Shorthand Usage Guide
  280.    wt: 1:   Chapter 11. Why Shorthand
  281.    wt: 1:   Chapter 10 Describing and Changing Calculations
  282.    wt: 1:   Postscript What is a Variable
  283.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  284.    wt: 1:   Solutions For Arithmetic Exercises
  285.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  286.    wt: 1:   Chapter 6 Change of Language
  287.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  288.    wt: 1:   Chapter 4 Longer Chains of Reason
  289.    wt: 1:   Chapter 3 Chains of Reason
  290.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  291.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  292.    wt: 1:   Foreword
  293.    wt: 1:   Chapter 3 Algebra Difficulties
  294.    wt: 1:   S Adding words to algebra
  295.    wt: 1:   More Algebra and Slope based Calculus Preview
  296.    wt: 1:   Systematic Algebra Skill Development Missing Links
  297.    wt: 11:   3 Natural Logarithms and Exponentials Basic Properties
  298.    wt: 10:   7 Formulas for Roots with Logarithms Derivation
  299.    wt: 10:   6 Formulas for Even and Odd Roots with Logarithms

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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

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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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