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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

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

45 matches:

  1.    wt: 2:   19 Chain Rule for linear functions
  2.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  3.    wt: 2:   Chapter 3 Algebra Starter Lessons
  4.    wt: 1:   Skills Chapter 5 Calculus
  5.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  6.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  7.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  8.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  9.    wt: 1:   23 Inverse Functions
  10.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  11.    wt: 1:   15 Sign analysis of functions
  12.    wt: 1:   8 Set view of relations and functions
  13.    wt: 1:   7 Functions with finite domains
  14.    wt: 1:   1 Calculator Starter Exercises
  15.    wt: 1:   7 Links Lessons Elsewhere
  16.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  17.    wt: 1:   4 Polynomials Long division linear divisor
  18.    wt: 1:   30 unit circle calculation of six trigonometric functions
  19.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  20.    wt: 1:   12 Links Lessons elsewhere
  21.    wt: 1:   6 Intersection of lines by solving linear systems
  22.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  23.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  24.    wt: 1:   3 Linear Equation Literal Solution More
  25.    wt: 1:   2 Linear Equation Literal Solution
  26.    wt: 1:   A Related lessons in Volume 3
  27.    wt: 1:   31 Derivatives of inverse functions
  28.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  29.    wt: 1:   26 Chain Rule Recognising outer inner functions
  30.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  31.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  32.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  33.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  34.    wt: 1:   F.1 What Functions are Continuous
  35.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  36.    wt: 1:   Chapter 9 About First Courses in Calculus
  37.    wt: 1:   Fall 1983 Calculus Appetizer
  38.    wt: 1:   Chapter 19. Functions and Sets
  39.    wt: 1:   Chapter 15. Solving Linear Equations
  40.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  41.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  42.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  43.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  44.    wt: 1:   More Algebra and Slope based Calculus Preview
  45.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

327 matches:

  1.    wt: 7:   19 Chain Rule for linear functions
  2.    wt: 6:   A Related lessons in Volume 3
  3.    wt: 6:   31 Derivatives of inverse functions
  4.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  5.    wt: 6:   26 Chain Rule Recognising outer inner functions
  6.    wt: 5:   Example 2 volume of a cone
  7.    wt: 5:   Example 1 volume of a pyramid
  8.    wt: 5:   Volume of Solid by Cross Sections Lesson
  9.    wt: 5:   Example 1. Area Between x and x squared
  10.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  11.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  12.    wt: 5:   Example 4 with x function of y
  13.    wt: 5:   Example 3
  14.    wt: 5:   Example 2
  15.    wt: 5:   Example 1
  16.    wt: 5:   Area Between Curves Lesson Take 2
  17.    wt: 5:   Area Between Curves Lesson Take 1
  18.    wt: 5:   Summary
  19.    wt: 5:   A Related Material in Volume 3
  20.    wt: 5:   5 Area Under Curve Exercise
  21.    wt: 5:   4 Definite Integrals Evaluation Exercises
  22.    wt: 5:   3 Two Chain Rule Method Exercises
  23.    wt: 5:   2 Indefinite Integrals Exercises
  24.    wt: 5:   1 Chain Rule in Reverse Integration Method
  25.    wt: 5:   4 Second derivative test exercise example
  26.    wt: 5:   3 Second derivative test
  27.    wt: 5:   2 Second derivative test prequel
  28.    wt: 5:   1 Two cubic sketching exercises with 1st derivative
  29.    wt: 5:   A Chain Rule Real Player video examples
  30.    wt: 5:   38 Formulas and derivatives for powers and roots
  31.    wt: 5:   36 Cube root derivative animated
  32.    wt: 5:   34 Derivative of exponential function
  33.    wt: 5:   33 Chain Rule Real Player video examples
  34.    wt: 5:   30Chain Rule A Proof
  35.    wt: 5:   29 Chain Rule Optional Reading
  36.    wt: 5:   28 Chain Rule Preparation for a Proof
  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:   18 Chain Rule Introduction
  44.    wt: 5:   17 Derivatives of quotients of sine and cosine
  45.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
  46.    wt: 5:   15 sine and cosine derivatives 3rd step
  47.    wt: 5:   14 sine and cosine derivatives 2nd step
  48.    wt: 5:   13 sine and cosine derivatives 1st step
  49.    wt: 5:   12 Quotient rule examples
  50.    wt: 5:   11 Quotient rule
  51.    wt: 5:   10 Power rule for negative integers
  52.    wt: 5:   9 Reciprocal rule
  53.    wt: 5:   8 Differentiation of polynomials
  54.    wt: 5:   7 Animated Differentiation Examples
  55.    wt: 5:   6 Power rule from product rule
  56.    wt: 5:   5 Product Rule
  57.    wt: 5:   4 Sum Rule
  58.    wt: 5:   3 Motivation for Limit Definition Take 2
  59.    wt: 5:   2 Motivation for Limit Definition Take 1
  60.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
  61.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  62.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  63.    wt: 5:   11 Limits at infinity Three Examples
  64.    wt: 5:   10 Three one sided limits with infinite values
  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: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  75.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  76.    wt: 3:   3 Linear Equation Literal Solution More
  77.    wt: 3:   2 Linear Equation Literal Solution
  78.    wt: 3:   More Exercises
  79.    wt: 3:   Simple Exercises
  80.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  81.    wt: 3:   4 GE III Animated Examples
  82.    wt: 3:   3 Gaussian Elimination 3 unknowns first example
  83.    wt: 3:   3 GE III Equation Addition and Multiplication
  84.    wt: 3:   2 GE II Comparison
  85.    wt: 3:   1 GE Substitution four examples
  86.    wt: 3:   4 Solving a triangular system exercise
  87.    wt: 3:   3 Solving triangular system example
  88.    wt: 3:   2 Essentially one exercises three with solution
  89.    wt: 3:   1 Essentially One Unknown
  90.    wt: 3:   6 Algebraic Solution Example
  91.    wt: 3:   5 Algebraic Solutions Introduction
  92.    wt: 3:   4 Four Examples Fractional Coefficients
  93.    wt: 3:   3 Four Examples
  94.    wt: 3:   2 Three Examples
  95.    wt: 3:   1 Proper Equal Sign Usage
  96.    wt: 3:   Skill Development Notes
  97.    wt: 3:   10 One Example
  98.    wt: 3:   9 Three Examples
  99.    wt: 3:   8 One Example
  100.    wt: 3:   7 Two Examples
  101.    wt: 3:   6 Three Examples
  102.    wt: 3:   5 Three Examples
  103.    wt: 3:   4 Two Examples
  104.    wt: 3:   3 Two Examples
  105.    wt: 3:   2 Three Examples
  106.    wt: 3:   Using Letters for Physical Quantities
  107.    wt: 3:   Formula Usage Show Work Format
  108.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  109.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  110.    wt: 2:   23 Inverse Functions
  111.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  112.    wt: 2:   15 Sign analysis of functions
  113.    wt: 2:   8 Set view of relations and functions
  114.    wt: 2:   7 Functions with finite domains
  115.    wt: 2:   musings do not puiblish real numbers
  116.    wt: 2:   A Modular and Remainder Arithmetic
  117.    wt: 2:   A Signed Number Arithmetic Review
  118.    wt: 2:   26 More Less Greater Than Comparison
  119.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  120.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  121.    wt: 2:   23 Distributive Law Two Derivations
  122.    wt: 2:   22 Multiplication of Signed Numbers
  123.    wt: 2:   21 Addition of Multiples of a Single Vector
  124.    wt: 2:   19 Signed Multiples of Vectors
  125.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  126.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  127.    wt: 2:   15 Head to Tails in place Addition Associative
  128.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  129.    wt: 2:   13 Arrows and Vectors in a Plane
  130.    wt: 2:   12 Real Numbers Line Signed Coordinates
  131.    wt: 2:   11 Signed Number Addition and Addition Properties
  132.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  133.    wt: 2:   9 Division with Digits after Decimal Point
  134.    wt: 2:   8 Division and Mulplication of Compound Fractions
  135.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  136.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  137.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  138.    wt: 2:   4 Location of Point in Decimal Addition
  139.    wt: 2:   3 Location of Point in Decimal Multiplication
  140.    wt: 2:   2 Counting Digits in Decimal Multiplication
  141.    wt: 2:   1 Fractions with Finite Decimal Expansions
  142.    wt: 2:   E Long Division Methods more
  143.    wt: 2:   D Long Division Methods
  144.    wt: 2:   C Three Decimal Subtraction Methods
  145.    wt: 2:   B Decimal Comparison and Subtraction
  146.    wt: 2:   A Decimal Addition Columm Methods
  147.    wt: 2:   8 Column Multiplication Methods in General
  148.    wt: 2:   7 Decimals Multiplication Methods Examples
  149.    wt: 2:   6 Column Methods for Decimal Multiplication
  150.    wt: 2:   5 Distributive Law for Whole Numbers
  151.    wt: 2:   4 Commutative Law Groups Counting Form
  152.    wt: 2:   3 Multiplicative Counting Skills Principles
  153.    wt: 2:   2 Combing Counts Addition Skills and Principles
  154.    wt: 2:   1 The Counting Origins of Numbers
  155.    wt: 2:   5 Areas of Rectangles Revisited
  156.    wt: 2:   4 Fraction Operations Axiomatic Development
  157.    wt: 2:   3 Inequalities Algebraically
  158.    wt: 2:   2 Fraction Operations Physical Development
  159.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  160.    wt: 2:   5 Proportionality in Equivalent Fractions
  161.    wt: 2:   4 Rates Ratios and Proporitionality
  162.    wt: 2:   3 Proportionality Examples
  163.    wt: 2:   2 Algebraic View
  164.    wt: 2:   1 What is Proportionality
  165.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  166.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  167.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  168.    wt: 2:   6 Compound Interest Forward and Backwards
  169.    wt: 2:   5 Triangle Area Formula Backwards
  170.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  171.    wt: 2:   1 Changing Calculations
  172.    wt: 2:   6 Equations and Systems Equivalent or Implied
  173.    wt: 2:   5 Equality in Algebra
  174.    wt: 2:   4 Subtraction and Division Axioms
  175.    wt: 2:   3 Product Axioms Two Forms
  176.    wt: 2:   2 Addition and Multiplication Axioms
  177.    wt: 2:   1 Equivalent Computation Rules
  178.    wt: 2:   5 Greater More Less Than Signs in General
  179.    wt: 2:   4 Comparison of Negative Numbers
  180.    wt: 2:   3 More and Less Than with Unlike Signs
  181.    wt: 2:   2 More and Less Than for Counts and Measures
  182.    wt: 2:   1 Real Numbers Comparison
  183.    wt: 2:   16 Real Numbers Comparison
  184.    wt: 2:   15 Real Number Division
  185.    wt: 2:   14 Real Number Multiplication
  186.    wt: 2:   13 Real Number Subtraction
  187.    wt: 2:   12 Real Number Additive Inverses or Negatives
  188.    wt: 2:   11 Real Number Addition
  189.    wt: 2:   10 Real Number Lengths and Signs
  190.    wt: 2:   9 Coordinates for Regions in Space
  191.    wt: 2:   8 Coordinates for Maps and Planes
  192.    wt: 2:   7 Real Numbers as Line Cordinates
  193.    wt: 2:   6 Unsigned Real Numbers
  194.    wt: 2:   5 Rational Numbers More
  195.    wt: 2:   4 Rational Numbers
  196.    wt: 2:   3 Fractions
  197.    wt: 2:   2 Integers
  198.    wt: 2:   1 Whole and Natural Numbers
  199.    wt: 2:   5 Independent versus Dependent Variables
  200.    wt: 2:   4 Changing Letters
  201.    wt: 2:   3 Geometric Formulas and Function Notation
  202.    wt: 2:   2 Computation Rules Evaluation
  203.    wt: 2:   1 Formulas Dependence and Function Notation
  204.    wt: 2:   13 Naming Identifying Formulas with Words
  205.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  206.    wt: 2:   11 Volume of Sphere
  207.    wt: 2:   10 Volume of Pyramid
  208.    wt: 2:   9 Volume of Cone
  209.    wt: 2:   8 Compound Interest Formula Evaluation
  210.    wt: 2:   7 Compound Interest Formula Introduction
  211.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  212.    wt: 2:   5 Box Volume Formula Example
  213.    wt: 2:   4 Circle Area Formula Example
  214.    wt: 2:   3 Triangle Area Formula Example
  215.    wt: 2:   2 Another Rectangle Area Formula Example
  216.    wt: 2:   1 Written work formats for developing and showing skill
  217.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  218.    wt: 2:   9 Sets in Probability and Statistics
  219.    wt: 2:   8 Sets of Numbers
  220.    wt: 2:   7 Cautious or Safe Set Construction
  221.    wt: 2:   6 Power Set Notation
  222.    wt: 2:   5 Product Builder Notation
  223.    wt: 2:   4 Subset Builder Notation
  224.    wt: 2:   3 Counting with Sets etc
  225.    wt: 2:   2 Venn Diagrams
  226.    wt: 2:   1 Finite Sets
  227.    wt: 2:   6 Three Notions of What is a Variable
  228.    wt: 2:   5 Talking about Numbers and Quantities
  229.    wt: 2:   4 A Brief Story of numbers and algebra
  230.    wt: 2:   3 Adding Words To Arithmetic
  231.    wt: 2:   2 What is a Variable
  232.    wt: 2:   1 Three Skills For Algebra
  233.    wt: 2:   About Folder Contents
  234.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  235.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  236.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  237.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  238.    wt: 2:   F.1 What Functions are Continuous
  239.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  240.    wt: 2:   Chapter 9 About First Courses in Calculus
  241.    wt: 2:   Fall 1983 Calculus Appetizer
  242.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  243.    wt: 2:   Chapter 3 Algebra Starter Lessons
  244.    wt: 1:   Skills Chapter 5 Calculus
  245.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  246.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  247.    wt: 1:   26 Function definitions done and coming
  248.    wt: 1:   22 Square Root function graphically
  249.    wt: 1:   20 Interchanging coordinates a reflection
  250.    wt: 1:   19 Horizontal line rule and method
  251.    wt: 1:   18 Vertical Line Rule and Method
  252.    wt: 1:   17 Function maxima minima and their location
  253.    wt: 1:   16 Increasing or decreasing on intervals
  254.    wt: 1:   14 Surjections Injections Bijections
  255.    wt: 1:   13 From one to one to many to one
  256.    wt: 1:   12 Function Domain Recognition Exercises
  257.    wt: 1:   11 Function Domain Range Source and Targets
  258.    wt: 1:   10 Interval Notation
  259.    wt: 1:   9 Set theory term relation possible origins
  260.    wt: 1:   6 Set Existence Formation and Notation
  261.    wt: 1:   5 Function notation for geometric transformations
  262.    wt: 1:   4 Function notation in and beyond mathematics
  263.    wt: 1:   3 Formula or function graphing exercise
  264.    wt: 1:   2 Algebraic use of function notation
  265.    wt: 1:   1 Geometric Introduction of Function Notation
  266.    wt: 1:   Introduction Reading Guide
  267.    wt: 1:   1 Calculator Starter Exercises
  268.    wt: 1:   7 Links Lessons Elsewhere
  269.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  270.    wt: 1:   4 Polynomials Long division linear divisor
  271.    wt: 1:   30 unit circle calculation of six trigonometric functions
  272.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  273.    wt: 1:   12 Links Lessons elsewhere
  274.    wt: 1:   6 Intersection of lines by solving linear systems
  275.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  276.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  277.    wt: 1:   G.5 Motions With Bounded Velocities
  278.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  279.    wt: 1:   G.3 Constant Difference Theorem Proof
  280.    wt: 1:   F.5b Extreme Value Theorem
  281.    wt: 1:   F.5a Equicontinuity Theorems
  282.    wt: 1:   F.4 Finite Covering Theorem
  283.    wt: 1:   F.3 Intermediate Value Theorem
  284.    wt: 1:   F.2 Closed Range Theorem
  285.    wt: 1:   E2 Algebraic Properties of Limits
  286.    wt: 1:   E1 Error Control Inequalities
  287.    wt: 1:   D2 Limits of Monotone Sequences
  288.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  289.    wt: 1:   C Triangle Inequalities
  290.    wt: 1:   B3 Bolzano Weierstrass Theorem
  291.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  292.    wt: 1:   PostScript For and Against Decimal Perspectives
  293.    wt: 1:   A1. Introduction
  294.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  295.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  296.    wt: 1:   Chapter 23 Links To Trigonometry
  297.    wt: 1:   Chapter 22 Complex Numbers
  298.    wt: 1:   Chapter 21 Arrow Addition
  299.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  300.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  301.    wt: 1:   Chapter 18. Slopes Areas Integration
  302.    wt: 1:   Chapter 17. Area Approximation
  303.    wt: 1:   Chapter 16. Velocity Approximation
  304.    wt: 1:   Chapter 15. Slope Approximation
  305.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  306.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  307.    wt: 1:   Chapter 13. Acceleration
  308.    wt: 1:   Chapter 12. Units and Slopes
  309.    wt: 1:   Chapter 11. Graphing Slope versus Position
  310.    wt: 1:   Chapter 10 Slopes and Units
  311.    wt: 1:   Chapter 8. Slope Interpretation
  312.    wt: 1:   Chapter 7 Slopes and Velocity
  313.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  314.    wt: 1:   Chapter 5. Slope Sign Tests
  315.    wt: 1:   Chapter 4. More Slope Sign Analysis
  316.    wt: 1:   Chapter 3. Slope Sign Analysis
  317.    wt: 1:   Chapter 2. Slopes and Ski Trails
  318.    wt: 1:   Chapter 1.Introduction
  319.    wt: 1:   Foreword
  320.    wt: 1:   Chapter 19. Functions and Sets
  321.    wt: 1:   Chapter 15. Solving Linear Equations
  322.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  323.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  324.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  325.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  326.    wt: 1:   More Algebra and Slope based Calculus Preview
  327.    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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

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

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.