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

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

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

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

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

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

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

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27 matches:

  1.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 5:   5 Lessons on Integration/
  3.    wt: 5:   4 Lessons on Using Derivatives/
  4.    wt: 5:   38 Lessons on Calculating Derivatives/
  5.    wt: 5:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   70 Calculus Starter Lessons/
  7.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 2:   B Real Numbers Extrinsic Development/
  9.    wt: 2:   A Origins of Counting and Figuring Methods/
  10.    wt: 2:   10 Examples of Algebraic Reasoning/
  11.    wt: 2:   9 Proportionality Backwards and Forwards/
  12.    wt: 2:   8 Unifying Theme For Algebra/
  13.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  14.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  15.    wt: 2:   5 Real Numbers/
  16.    wt: 2:   4 Computation Rules and Function Notation/
  17.    wt: 2:   Step 4 Gaussian Elimination/
  18.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   3 Solving Linear Equations/
  21.    wt: 2:   2 Formula Forward Use Evaluation/
  22.    wt: 2:   1 Working With Sets/
  23.    wt: 2:   Algebra Starter Lessons/
  24.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  25.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  26.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  27.    wt: 1:   Mathematics 506 Lessons/

Web Page Search

67 matches:

  1.    wt: 3:   13 From one to one to many to one
  2.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
  3.    wt: 2:   10 Three one sided limits with infinite values
  4.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  5.    wt: 2:   F.2 Closed Range Theorem
  6.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  7.    wt: 2:   Chapter 3 Algebra Starter Lessons
  8.    wt: 1:   Skills Chapter 5 Calculus
  9.    wt: 1:   5 logarithms and exponentials etc
  10.    wt: 1:   Secondary One Mathematics
  11.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  12.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  13.    wt: 1:   26 Function definitions done and coming
  14.    wt: 1:   11 Function Domain Range Source and Targets
  15.    wt: 1:   10 Exponential Growth and Decay Models
  16.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  17.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  18.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  19.    wt: 1:   1 Calculator Starter Exercises
  20.    wt: 1:   7 Links Lessons Elsewhere
  21.    wt: 1:   2 Radian Measure Numerical Value of one degree
  22.    wt: 1:   11 Component Method
  23.    wt: 1:   17G Pythagorean Theorem Converse
  24.    wt: 1:   12 Graph of tangent function for one period
  25.    wt: 1:   9 Graphs of sine and cosine over one period
  26.    wt: 1:   21 Logarithms Powers and Exponentials
  27.    wt: 1:   15 Pythagorean Theorem Converse
  28.    wt: 1:   12 Links Lessons elsewhere
  29.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  30.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  31.    wt: 1:   2 Essentially one exercises three with solution
  32.    wt: 1:   1 Essentially One Unknown
  33.    wt: 1:   10 One Example
  34.    wt: 1:   8 One Example
  35.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  36.    wt: 1:   9 Volume of Cone
  37.    wt: 1:   3 More One Digit Multipliers
  38.    wt: 1:   2 One Digit Multipliers
  39.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  40.    wt: 1:   Example 2 volume of a cone
  41.    wt: 1:   A Related lessons in Volume 3
  42.    wt: 1:   34 Derivative of exponential function
  43.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  44.    wt: 1:   G.3 Constant Difference Theorem Proof
  45.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  46.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  47.    wt: 1:   F.5b Extreme Value Theorem
  48.    wt: 1:   F.5a Equicontinuity Theorems
  49.    wt: 1:   F.4 Finite Covering Theorem
  50.    wt: 1:   F.3 Intermediate Value Theorem
  51.    wt: 1:   D2 Limits of Monotone Sequences
  52.    wt: 1:   B3 Bolzano Weierstrass Theorem
  53.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  54.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  55.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  56.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  57.    wt: 1:   Chapter 9 About First Courses in Calculus
  58.    wt: 1:   Fall 1983 Calculus Appetizer
  59.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  60.    wt: 1:   Chapter 16. Painless Theorem Proving
  61.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  62.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  63.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  64.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  65.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  66.    wt: 1:   More Algebra and Slope based Calculus Preview
  67.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

321 matches:

  1.    wt: 7:   10 Three one sided limits with infinite values
  2.    wt: 6:   Example 2 volume of a cone
  3.    wt: 6:   A Related lessons in Volume 3
  4.    wt: 6:   34 Derivative of exponential function
  5.    wt: 5:   Example 1 volume of a pyramid
  6.    wt: 5:   Volume of Solid by Cross Sections Lesson
  7.    wt: 5:   Example 1. Area Between x and x squared
  8.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  9.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  10.    wt: 5:   Example 4 with x function of y
  11.    wt: 5:   Example 3
  12.    wt: 5:   Example 2
  13.    wt: 5:   Example 1
  14.    wt: 5:   Area Between Curves Lesson Take 2
  15.    wt: 5:   Area Between Curves Lesson Take 1
  16.    wt: 5:   Summary
  17.    wt: 5:   A Related Material in Volume 3
  18.    wt: 5:   5 Area Under Curve Exercise
  19.    wt: 5:   4 Definite Integrals Evaluation Exercises
  20.    wt: 5:   3 Two Chain Rule Method Exercises
  21.    wt: 5:   2 Indefinite Integrals Exercises
  22.    wt: 5:   1 Chain Rule in Reverse Integration Method
  23.    wt: 5:   4 Second derivative test exercise example
  24.    wt: 5:   3 Second derivative test
  25.    wt: 5:   2 Second derivative test prequel
  26.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  27.    wt: 5:   A Chain Rule Real Player video examples
  28.    wt: 5:   38 Formulas and derivatives for powers and roots
  29.    wt: 5:   36 Cube root derivative animated
  30.    wt: 5:   33 Chain Rule Real Player video examples
  31.    wt: 5:   31 Derivatives of inverse functions
  32.    wt: 5:   30Chain Rule A Proof
  33.    wt: 5:   29 Chain Rule Optional Reading
  34.    wt: 5:   28 Chain Rule Preparation for a Proof
  35.    wt: 5:   27 Chain Rule sinusoidal outer inner functions EGS
  36.    wt: 5:   26 Chain Rule Recognising outer inner functions
  37.    wt: 5:   25 Chain Rule Animated Examples Continued
  38.    wt: 5:   24 Chain Rule Animated Examples
  39.    wt: 5:   23 Chain Rule in general
  40.    wt: 5:   22 Chain Rule for polynomials
  41.    wt: 5:   21 Chain Rule for powers
  42.    wt: 5:   20 Chain Rule for Pulley Systems
  43.    wt: 5:   19 Chain Rule for linear functions
  44.    wt: 5:   18 Chain Rule Introduction
  45.    wt: 5:   17 Derivatives of quotients of sine and cosine
  46.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  47.    wt: 5:   15 sine and cosine derivatives 3rd step
  48.    wt: 5:   14 sine and cosine derivatives 2nd step
  49.    wt: 5:   13 sine and cosine derivatives 1st step
  50.    wt: 5:   12 Quotient rule examples
  51.    wt: 5:   11 Quotient rule
  52.    wt: 5:   10 Power rule for negative integers
  53.    wt: 5:   9 Reciprocal rule
  54.    wt: 5:   8 Differentiation of polynomials
  55.    wt: 5:   7 Animated Differentiation Examples
  56.    wt: 5:   6 Power rule from product rule
  57.    wt: 5:   5 Product Rule
  58.    wt: 5:   4 Sum Rule
  59.    wt: 5:   3 Motivation for Limit Definition Take 2
  60.    wt: 5:   2 Motivation for Limit Definition Take 1
  61.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  62.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  63.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  64.    wt: 5:   11 Limits at infinity Three Examples
  65.    wt: 5:   9 Limits Continuity and Composition
  66.    wt: 5:   8 Four Animated Examples
  67.    wt: 5:   7 Evaluation by immediate or delayed substitution
  68.    wt: 5:   6 Continuity at a point
  69.    wt: 5:   5 Jumps and absence of unlimited error control
  70.    wt: 5:   4 Numerical properties
  71.    wt: 5:   3 Decimal insights for limits continuity convergence
  72.    wt: 5:   2 Algebraic codification
  73.    wt: 5:   1 Numerical introduction
  74.    wt: 4:   Postscript One Sided and Intermediate Value Theorems
  75.    wt: 3:   13 From one to one to many to one
  76.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  77.    wt: 3:   2 Essentially one exercises three with solution
  78.    wt: 3:   1 Essentially One Unknown
  79.    wt: 3:   6 Algebraic Solution Example
  80.    wt: 3:   5 Algebraic Solutions Introduction
  81.    wt: 3:   4 Four Examples Fractional Coefficients
  82.    wt: 3:   3 Four Examples
  83.    wt: 3:   2 Three Examples
  84.    wt: 3:   1 Proper Equal Sign Usage
  85.    wt: 3:   10 One Example
  86.    wt: 3:   8 One Example
  87.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  88.    wt: 3:   9 Volume of Cone
  89.    wt: 3:   G.1 First Fundamental Theorem of Calculus
  90.    wt: 3:   F.2 Closed Range Theorem
  91.    wt: 2:   10 Exponential Growth and Decay Models
  92.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  93.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  94.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  95.    wt: 2:   1 Calculator Starter Exercises
  96.    wt: 2:   musings do not puiblish real numbers
  97.    wt: 2:   A Modular and Remainder Arithmetic
  98.    wt: 2:   A Signed Number Arithmetic Review
  99.    wt: 2:   26 More Less Greater Than Comparison
  100.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  101.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  102.    wt: 2:   23 Distributive Law Two Derivations
  103.    wt: 2:   22 Multiplication of Signed Numbers
  104.    wt: 2:   21 Addition of Multiples of a Single Vector
  105.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  106.    wt: 2:   19 Signed Multiples of Vectors
  107.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  108.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  109.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  110.    wt: 2:   15 Head to Tails in place Addition Associative
  111.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  112.    wt: 2:   13 Arrows and Vectors in a Plane
  113.    wt: 2:   12 Real Numbers Line Signed Coordinates
  114.    wt: 2:   11 Signed Number Addition and Addition Properties
  115.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  116.    wt: 2:   9 Division with Digits after Decimal Point
  117.    wt: 2:   8 Division and Mulplication of Compound Fractions
  118.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  119.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  120.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  121.    wt: 2:   4 Location of Point in Decimal Addition
  122.    wt: 2:   3 Location of Point in Decimal Multiplication
  123.    wt: 2:   2 Counting Digits in Decimal Multiplication
  124.    wt: 2:   1 Fractions with Finite Decimal Expansions
  125.    wt: 2:   E Long Division Methods more
  126.    wt: 2:   D Long Division Methods
  127.    wt: 2:   C Three Decimal Subtraction Methods
  128.    wt: 2:   B Decimal Comparison and Subtraction
  129.    wt: 2:   A Decimal Addition Columm Methods
  130.    wt: 2:   8 Column Multiplication Methods in General
  131.    wt: 2:   7 Decimals Multiplication Methods Examples
  132.    wt: 2:   6 Column Methods for Decimal Multiplication
  133.    wt: 2:   5 Distributive Law for Whole Numbers
  134.    wt: 2:   4 Commutative Law Groups Counting Form
  135.    wt: 2:   3 Multiplicative Counting Skills Principles
  136.    wt: 2:   2 Combing Counts Addition Skills and Principles
  137.    wt: 2:   1 The Counting Origins of Numbers
  138.    wt: 2:   5 Areas of Rectangles Revisited
  139.    wt: 2:   4 Fraction Operations Axiomatic Development
  140.    wt: 2:   3 Inequalities Algebraically
  141.    wt: 2:   2 Fraction Operations Physical Development
  142.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  143.    wt: 2:   5 Proportionality in Equivalent Fractions
  144.    wt: 2:   4 Rates Ratios and Proporitionality
  145.    wt: 2:   3 Proportionality Examples
  146.    wt: 2:   2 Algebraic View
  147.    wt: 2:   1 What is Proportionality
  148.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  149.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  150.    wt: 2:   6 Compound Interest Forward and Backwards
  151.    wt: 2:   5 Triangle Area Formula Backwards
  152.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  153.    wt: 2:   3 Linear Equation Literal Solution More
  154.    wt: 2:   2 Linear Equation Literal Solution
  155.    wt: 2:   1 Changing Calculations
  156.    wt: 2:   6 Equations and Systems Equivalent or Implied
  157.    wt: 2:   5 Equality in Algebra
  158.    wt: 2:   4 Subtraction and Division Axioms
  159.    wt: 2:   3 Product Axioms Two Forms
  160.    wt: 2:   2 Addition and Multiplication Axioms
  161.    wt: 2:   1 Equivalent Computation Rules
  162.    wt: 2:   5 Greater More Less Than Signs in General
  163.    wt: 2:   4 Comparison of Negative Numbers
  164.    wt: 2:   3 More and Less Than with Unlike Signs
  165.    wt: 2:   2 More and Less Than for Counts and Measures
  166.    wt: 2:   1 Real Numbers Comparison
  167.    wt: 2:   16 Real Numbers Comparison
  168.    wt: 2:   15 Real Number Division
  169.    wt: 2:   14 Real Number Multiplication
  170.    wt: 2:   13 Real Number Subtraction
  171.    wt: 2:   12 Real Number Additive Inverses or Negatives
  172.    wt: 2:   11 Real Number Addition
  173.    wt: 2:   10 Real Number Lengths and Signs
  174.    wt: 2:   9 Coordinates for Regions in Space
  175.    wt: 2:   8 Coordinates for Maps and Planes
  176.    wt: 2:   7 Real Numbers as Line Cordinates
  177.    wt: 2:   6 Unsigned Real Numbers
  178.    wt: 2:   5 Rational Numbers More
  179.    wt: 2:   4 Rational Numbers
  180.    wt: 2:   3 Fractions
  181.    wt: 2:   2 Integers
  182.    wt: 2:   1 Whole and Natural Numbers
  183.    wt: 2:   5 Independent versus Dependent Variables
  184.    wt: 2:   4 Changing Letters
  185.    wt: 2:   3 Geometric Formulas and Function Notation
  186.    wt: 2:   2 Computation Rules Evaluation
  187.    wt: 2:   1 Formulas Dependence and Function Notation
  188.    wt: 2:   More Exercises
  189.    wt: 2:   Simple Exercises
  190.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  191.    wt: 2:   4 GE III Animated Examples
  192.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  193.    wt: 2:   3 GE III Equation Addition and Multiplication
  194.    wt: 2:   2 GE II Comparison
  195.    wt: 2:   1 GE Substitution four examples
  196.    wt: 2:   4 Solving a triangular system exercise
  197.    wt: 2:   3 Solving triangular system example
  198.    wt: 2:   Skill Development Notes
  199.    wt: 2:   9 Three Examples
  200.    wt: 2:   7 Two Examples
  201.    wt: 2:   6 Three Examples
  202.    wt: 2:   5 Three Examples
  203.    wt: 2:   4 Two Examples
  204.    wt: 2:   3 Two Examples
  205.    wt: 2:   2 Three Examples
  206.    wt: 2:   Using Letters for Physical Quantities
  207.    wt: 2:   Formula Usage Show Work Format
  208.    wt: 2:   13 Naming Identifying Formulas with Words
  209.    wt: 2:   11 Volume of Sphere
  210.    wt: 2:   10 Volume of Pyramid
  211.    wt: 2:   8 Compound Interest Formula Evaluation
  212.    wt: 2:   7 Compound Interest Formula Introduction
  213.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  214.    wt: 2:   5 Box Volume Formula Example
  215.    wt: 2:   4 Circle Area Formula Example
  216.    wt: 2:   3 Triangle Area Formula Example
  217.    wt: 2:   2 Another Rectangle Area Formula Example
  218.    wt: 2:   1 Written work formats for developing and showing skill
  219.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  220.    wt: 2:   9 Sets in Probability and Statistics
  221.    wt: 2:   8 Sets of Numbers
  222.    wt: 2:   7 Cautious or Safe Set Construction
  223.    wt: 2:   6 Power Set Notation
  224.    wt: 2:   5 Product Builder Notation
  225.    wt: 2:   4 Subset Builder Notation
  226.    wt: 2:   3 Counting with Sets etc
  227.    wt: 2:   2 Venn Diagrams
  228.    wt: 2:   1 Finite Sets
  229.    wt: 2:   6 Three Notions of What is a Variable
  230.    wt: 2:   5 Talking about Numbers and Quantities
  231.    wt: 2:   4 A Brief Story of numbers and algebra
  232.    wt: 2:   3 Adding Words To Arithmetic
  233.    wt: 2:   2 What is a Variable
  234.    wt: 2:   1 Three Skills For Algebra
  235.    wt: 2:   About Folder Contents
  236.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  237.    wt: 2:   G.3 Constant Difference Theorem Proof
  238.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  239.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  240.    wt: 2:   F.5b Extreme Value Theorem
  241.    wt: 2:   F.5a Equicontinuity Theorems
  242.    wt: 2:   F.4 Finite Covering Theorem
  243.    wt: 2:   F.3 Intermediate Value Theorem
  244.    wt: 2:   D2 Limits of Monotone Sequences
  245.    wt: 2:   B3 Bolzano Weierstrass Theorem
  246.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  247.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  248.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  249.    wt: 2:   Chapter 19. Exponentials and Natural Logarithms
  250.    wt: 2:   Chapter 9 About First Courses in Calculus
  251.    wt: 2:   Fall 1983 Calculus Appetizer
  252.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  253.    wt: 2:   Chapter 3 Algebra Starter Lessons
  254.    wt: 1:   Skills Chapter 5 Calculus
  255.    wt: 1:   5 logarithms and exponentials etc
  256.    wt: 1:   Secondary One Mathematics
  257.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  258.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  259.    wt: 1:   26 Function definitions done and coming
  260.    wt: 1:   11 Function Domain Range Source and Targets
  261.    wt: 1:   11 Growth and Decay in Biology
  262.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  263.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  264.    wt: 1:   5 Natural Logarithm Calculator Exercises
  265.    wt: 1:   2 Square Root Simplification a prequel
  266.    wt: 1:   7 Links Lessons Elsewhere
  267.    wt: 1:   2 Radian Measure Numerical Value of one degree
  268.    wt: 1:   11 Component Method
  269.    wt: 1:   17G Pythagorean Theorem Converse
  270.    wt: 1:   12 Graph of tangent function for one period
  271.    wt: 1:   9 Graphs of sine and cosine over one period
  272.    wt: 1:   21 Logarithms Powers and Exponentials
  273.    wt: 1:   15 Pythagorean Theorem Converse
  274.    wt: 1:   12 Links Lessons elsewhere
  275.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  276.    wt: 1:   3 More One Digit Multipliers
  277.    wt: 1:   2 One Digit Multipliers
  278.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  279.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  280.    wt: 1:   G.5 Motions With Bounded Velocities
  281.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  282.    wt: 1:   F.1 What Functions are Continuous
  283.    wt: 1:   E2 Algebraic Properties of Limits
  284.    wt: 1:   E1 Error Control Inequalities
  285.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  286.    wt: 1:   C Triangle Inequalities
  287.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  288.    wt: 1:   PostScript For and Against Decimal Perspectives
  289.    wt: 1:   A1. Introduction
  290.    wt: 1:   Chapter 23 Links To Trigonometry
  291.    wt: 1:   Chapter 22 Complex Numbers
  292.    wt: 1:   Chapter 21 Arrow Addition
  293.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  294.    wt: 1:   Chapter 18. Slopes Areas Integration
  295.    wt: 1:   Chapter 17. Area Approximation
  296.    wt: 1:   Chapter 16. Velocity Approximation
  297.    wt: 1:   Chapter 15. Slope Approximation
  298.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  299.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  300.    wt: 1:   Chapter 13. Acceleration
  301.    wt: 1:   Chapter 12. Units and Slopes
  302.    wt: 1:   Chapter 11. Graphing Slope versus Position
  303.    wt: 1:   Chapter 10 Slopes and Units
  304.    wt: 1:   Chapter 8. Slope Interpretation
  305.    wt: 1:   Chapter 7 Slopes and Velocity
  306.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  307.    wt: 1:   Chapter 5. Slope Sign Tests
  308.    wt: 1:   Chapter 4. More Slope Sign Analysis
  309.    wt: 1:   Chapter 3. Slope Sign Analysis
  310.    wt: 1:   Chapter 2. Slopes and Ski Trails
  311.    wt: 1:   Chapter 1.Introduction
  312.    wt: 1:   Foreword
  313.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  314.    wt: 1:   Chapter 16. Painless Theorem Proving
  315.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  316.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  317.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  318.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  319.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  320.    wt: 1:   More Algebra and Slope based Calculus Preview
  321.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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