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Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
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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
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26 matches:

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

Web Page Search

65 matches:

  1.    wt: 3:   17 Derivatives of quotients of sine and cosine
  2.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  3.    wt: 3:   15 sine and cosine derivatives 3rd step
  4.    wt: 3:   14 sine and cosine derivatives 2nd step
  5.    wt: 3:   13 sine and cosine derivatives 1st step
  6.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  7.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  8.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  9.    wt: 2:   28 Expressing products of sines cosines as sums
  10.    wt: 2:   27 Logarithmic use of products of sines and cosines
  11.    wt: 2:   26 Formulas for products of sines and cosines
  12.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  13.    wt: 2:   21 sine and cosine Half Angle Formulas
  14.    wt: 2:   20 sine and cosine Double Angle Formulas
  15.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  16.    wt: 2:   17D cis formulas for sine cosines and tangent
  17.    wt: 2:   17C sine and cosine double triple angle formulas
  18.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  19.    wt: 2:   15 sine cosine Complementary Angle Relations
  20.    wt: 2:   14 cosine even and sine and tangent are odd
  21.    wt: 2:   10 Graphs of sines and cosines many periods
  22.    wt: 2:   9 Graphs of sine and cosine over one period
  23.    wt: 2:   7 period of sine and cosine
  24.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  25.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  26.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  27.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  28.    wt: 2:   12 cis formulas for sine cosines and tangent
  29.    wt: 2:   11 sine and cosine double triple angle formulas
  30.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  31.    wt: 2:   3 Trigonometric Ratios sine and cosine
  32.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  33.    wt: 2:   Chapter 3 Algebra Starter Lessons
  34.    wt: 1:   Skills Chapter 5 Calculus
  35.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  36.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  37.    wt: 1:   1 Calculator Starter Exercises
  38.    wt: 1:   7 Links Lessons Elsewhere
  39.    wt: 1:   8 arcsin left inverse of sine Graph
  40.    wt: 1:   7 arcsin left inverse of sine Definition
  41.    wt: 1:   3 Left Inverse of cosine arccos definition
  42.    wt: 1:   2 cosine function more properties
  43.    wt: 1:   1 cosine function properties
  44.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  45.    wt: 1:   17F Law of cosines
  46.    wt: 1:   14 Law of cosines
  47.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  48.    wt: 1:   12 Links Lessons elsewhere
  49.    wt: 1:   A Related lessons in Volume 3
  50.    wt: 1:   38 Formulas and derivatives for powers and roots
  51.    wt: 1:   31 Derivatives of inverse functions
  52.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  53.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  54.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  55.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  56.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  57.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  58.    wt: 1:   Chapter 9 About First Courses in Calculus
  59.    wt: 1:   Fall 1983 Calculus Appetizer
  60.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  61.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  62.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  63.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  64.    wt: 1:   More Algebra and Slope based Calculus Preview
  65.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

328 matches:

  1.    wt: 9:   17 Derivatives of quotients of sine and cosine
  2.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  3.    wt: 9:   15 sine and cosine derivatives 3rd step
  4.    wt: 9:   14 sine and cosine derivatives 2nd step
  5.    wt: 9:   13 sine and cosine derivatives 1st step
  6.    wt: 7:   A Related lessons in Volume 3
  7.    wt: 7:   38 Formulas and derivatives for powers and roots
  8.    wt: 7:   31 Derivatives of inverse functions
  9.    wt: 6:   4 Second derivative test exercise example
  10.    wt: 6:   3 Second derivative test
  11.    wt: 6:   2 Second derivative test prequel
  12.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  13.    wt: 6:   A Chain Rule Real Player video examples
  14.    wt: 6:   36 Cube root derivative animated
  15.    wt: 6:   34 Derivative of exponential function
  16.    wt: 6:   33 Chain Rule Real Player video examples
  17.    wt: 6:   30Chain Rule A Proof
  18.    wt: 6:   29 Chain Rule Optional Reading
  19.    wt: 6:   28 Chain Rule Preparation for a Proof
  20.    wt: 6:   27 Chain Rule sinusoidal outer inner functions EGS
  21.    wt: 6:   26 Chain Rule Recognising outer inner functions
  22.    wt: 6:   25 Chain Rule Animated Examples Continued
  23.    wt: 6:   24 Chain Rule Animated Examples
  24.    wt: 6:   23 Chain Rule in general
  25.    wt: 6:   22 Chain Rule for polynomials
  26.    wt: 6:   21 Chain Rule for powers
  27.    wt: 6:   20 Chain Rule for Pulley Systems
  28.    wt: 6:   19 Chain Rule for linear functions
  29.    wt: 6:   18 Chain Rule Introduction
  30.    wt: 6:   12 Quotient rule examples
  31.    wt: 6:   11 Quotient rule
  32.    wt: 6:   10 Power rule for negative integers
  33.    wt: 6:   9 Reciprocal rule
  34.    wt: 6:   8 Differentiation of polynomials
  35.    wt: 6:   7 Animated Differentiation Examples
  36.    wt: 6:   6 Power rule from product rule
  37.    wt: 6:   5 Product Rule
  38.    wt: 6:   4 Sum Rule
  39.    wt: 6:   3 Motivation for Limit Definition Take 2
  40.    wt: 6:   2 Motivation for Limit Definition Take 1
  41.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  42.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  43.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  44.    wt: 5:   Example 2 volume of a cone
  45.    wt: 5:   Example 1 volume of a pyramid
  46.    wt: 5:   Volume of Solid by Cross Sections Lesson
  47.    wt: 5:   Example 1. Area Between x and x squared
  48.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  49.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  50.    wt: 5:   Example 4 with x function of y
  51.    wt: 5:   Example 3
  52.    wt: 5:   Example 2
  53.    wt: 5:   Example 1
  54.    wt: 5:   Area Between Curves Lesson Take 2
  55.    wt: 5:   Area Between Curves Lesson Take 1
  56.    wt: 5:   Summary
  57.    wt: 5:   A Related Material in Volume 3
  58.    wt: 5:   5 Area Under Curve Exercise
  59.    wt: 5:   4 Definite Integrals Evaluation Exercises
  60.    wt: 5:   3 Two Chain Rule Method Exercises
  61.    wt: 5:   2 Indefinite Integrals Exercises
  62.    wt: 5:   1 Chain Rule in Reverse Integration Method
  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: 2:   35 sines and cosines of 2A 3A 4A 5A
  75.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  76.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  77.    wt: 2:   28 Expressing products of sines cosines as sums
  78.    wt: 2:   27 Logarithmic use of products of sines and cosines
  79.    wt: 2:   26 Formulas for products of sines and cosines
  80.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  81.    wt: 2:   21 sine and cosine Half Angle Formulas
  82.    wt: 2:   20 sine and cosine Double Angle Formulas
  83.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  84.    wt: 2:   17D cis formulas for sine cosines and tangent
  85.    wt: 2:   17C sine and cosine double triple angle formulas
  86.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  87.    wt: 2:   15 sine cosine Complementary Angle Relations
  88.    wt: 2:   14 cosine even and sine and tangent are odd
  89.    wt: 2:   10 Graphs of sines and cosines many periods
  90.    wt: 2:   9 Graphs of sine and cosine over one period
  91.    wt: 2:   7 period of sine and cosine
  92.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  93.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  94.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  95.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  96.    wt: 2:   12 cis formulas for sine cosines and tangent
  97.    wt: 2:   11 sine and cosine double triple angle formulas
  98.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  99.    wt: 2:   3 Trigonometric Ratios sine and cosine
  100.    wt: 2:   musings do not puiblish real numbers
  101.    wt: 2:   A Modular and Remainder Arithmetic
  102.    wt: 2:   A Signed Number Arithmetic Review
  103.    wt: 2:   26 More Less Greater Than Comparison
  104.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  105.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  106.    wt: 2:   23 Distributive Law Two Derivations
  107.    wt: 2:   22 Multiplication of Signed Numbers
  108.    wt: 2:   21 Addition of Multiples of a Single Vector
  109.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  110.    wt: 2:   19 Signed Multiples of Vectors
  111.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  112.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  113.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  114.    wt: 2:   15 Head to Tails in place Addition Associative
  115.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  116.    wt: 2:   13 Arrows and Vectors in a Plane
  117.    wt: 2:   12 Real Numbers Line Signed Coordinates
  118.    wt: 2:   11 Signed Number Addition and Addition Properties
  119.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  120.    wt: 2:   9 Division with Digits after Decimal Point
  121.    wt: 2:   8 Division and Mulplication of Compound Fractions
  122.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  123.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  124.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  125.    wt: 2:   4 Location of Point in Decimal Addition
  126.    wt: 2:   3 Location of Point in Decimal Multiplication
  127.    wt: 2:   2 Counting Digits in Decimal Multiplication
  128.    wt: 2:   1 Fractions with Finite Decimal Expansions
  129.    wt: 2:   E Long Division Methods more
  130.    wt: 2:   D Long Division Methods
  131.    wt: 2:   C Three Decimal Subtraction Methods
  132.    wt: 2:   B Decimal Comparison and Subtraction
  133.    wt: 2:   A Decimal Addition Columm Methods
  134.    wt: 2:   8 Column Multiplication Methods in General
  135.    wt: 2:   7 Decimals Multiplication Methods Examples
  136.    wt: 2:   6 Column Methods for Decimal Multiplication
  137.    wt: 2:   5 Distributive Law for Whole Numbers
  138.    wt: 2:   4 Commutative Law Groups Counting Form
  139.    wt: 2:   3 Multiplicative Counting Skills Principles
  140.    wt: 2:   2 Combing Counts Addition Skills and Principles
  141.    wt: 2:   1 The Counting Origins of Numbers
  142.    wt: 2:   5 Areas of Rectangles Revisited
  143.    wt: 2:   4 Fraction Operations Axiomatic Development
  144.    wt: 2:   3 Inequalities Algebraically
  145.    wt: 2:   2 Fraction Operations Physical Development
  146.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  147.    wt: 2:   5 Proportionality in Equivalent Fractions
  148.    wt: 2:   4 Rates Ratios and Proporitionality
  149.    wt: 2:   3 Proportionality Examples
  150.    wt: 2:   2 Algebraic View
  151.    wt: 2:   1 What is Proportionality
  152.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  153.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  154.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  155.    wt: 2:   6 Compound Interest Forward and Backwards
  156.    wt: 2:   5 Triangle Area Formula Backwards
  157.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  158.    wt: 2:   3 Linear Equation Literal Solution More
  159.    wt: 2:   2 Linear Equation Literal Solution
  160.    wt: 2:   1 Changing Calculations
  161.    wt: 2:   6 Equations and Systems Equivalent or Implied
  162.    wt: 2:   5 Equality in Algebra
  163.    wt: 2:   4 Subtraction and Division Axioms
  164.    wt: 2:   3 Product Axioms Two Forms
  165.    wt: 2:   2 Addition and Multiplication Axioms
  166.    wt: 2:   1 Equivalent Computation Rules
  167.    wt: 2:   5 Greater More Less Than Signs in General
  168.    wt: 2:   4 Comparison of Negative Numbers
  169.    wt: 2:   3 More and Less Than with Unlike Signs
  170.    wt: 2:   2 More and Less Than for Counts and Measures
  171.    wt: 2:   1 Real Numbers Comparison
  172.    wt: 2:   16 Real Numbers Comparison
  173.    wt: 2:   15 Real Number Division
  174.    wt: 2:   14 Real Number Multiplication
  175.    wt: 2:   13 Real Number Subtraction
  176.    wt: 2:   12 Real Number Additive Inverses or Negatives
  177.    wt: 2:   11 Real Number Addition
  178.    wt: 2:   10 Real Number Lengths and Signs
  179.    wt: 2:   9 Coordinates for Regions in Space
  180.    wt: 2:   8 Coordinates for Maps and Planes
  181.    wt: 2:   7 Real Numbers as Line Cordinates
  182.    wt: 2:   6 Unsigned Real Numbers
  183.    wt: 2:   5 Rational Numbers More
  184.    wt: 2:   4 Rational Numbers
  185.    wt: 2:   3 Fractions
  186.    wt: 2:   2 Integers
  187.    wt: 2:   1 Whole and Natural Numbers
  188.    wt: 2:   5 Independent versus Dependent Variables
  189.    wt: 2:   4 Changing Letters
  190.    wt: 2:   3 Geometric Formulas and Function Notation
  191.    wt: 2:   2 Computation Rules Evaluation
  192.    wt: 2:   1 Formulas Dependence and Function Notation
  193.    wt: 2:   More Exercises
  194.    wt: 2:   Simple Exercises
  195.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  196.    wt: 2:   4 GE III Animated Examples
  197.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  198.    wt: 2:   3 GE III Equation Addition and Multiplication
  199.    wt: 2:   2 GE II Comparison
  200.    wt: 2:   1 GE Substitution four examples
  201.    wt: 2:   4 Solving a triangular system exercise
  202.    wt: 2:   3 Solving triangular system example
  203.    wt: 2:   2 Essentially one exercises three with solution
  204.    wt: 2:   1 Essentially One Unknown
  205.    wt: 2:   6 Algebraic Solution Example
  206.    wt: 2:   5 Algebraic Solutions Introduction
  207.    wt: 2:   4 Four Examples Fractional Coefficients
  208.    wt: 2:   3 Four Examples
  209.    wt: 2:   2 Three Examples
  210.    wt: 2:   1 Proper Equal Sign Usage
  211.    wt: 2:   Skill Development Notes
  212.    wt: 2:   10 One Example
  213.    wt: 2:   9 Three Examples
  214.    wt: 2:   8 One Example
  215.    wt: 2:   7 Two Examples
  216.    wt: 2:   6 Three Examples
  217.    wt: 2:   5 Three Examples
  218.    wt: 2:   4 Two Examples
  219.    wt: 2:   3 Two Examples
  220.    wt: 2:   2 Three Examples
  221.    wt: 2:   Using Letters for Physical Quantities
  222.    wt: 2:   Formula Usage Show Work Format
  223.    wt: 2:   13 Naming Identifying Formulas with Words
  224.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  225.    wt: 2:   11 Volume of Sphere
  226.    wt: 2:   10 Volume of Pyramid
  227.    wt: 2:   9 Volume of Cone
  228.    wt: 2:   8 Compound Interest Formula Evaluation
  229.    wt: 2:   7 Compound Interest Formula Introduction
  230.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  231.    wt: 2:   5 Box Volume Formula Example
  232.    wt: 2:   4 Circle Area Formula Example
  233.    wt: 2:   3 Triangle Area Formula Example
  234.    wt: 2:   2 Another Rectangle Area Formula Example
  235.    wt: 2:   1 Written work formats for developing and showing skill
  236.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  237.    wt: 2:   9 Sets in Probability and Statistics
  238.    wt: 2:   8 Sets of Numbers
  239.    wt: 2:   7 Cautious or Safe Set Construction
  240.    wt: 2:   6 Power Set Notation
  241.    wt: 2:   5 Product Builder Notation
  242.    wt: 2:   4 Subset Builder Notation
  243.    wt: 2:   3 Counting with Sets etc
  244.    wt: 2:   2 Venn Diagrams
  245.    wt: 2:   1 Finite Sets
  246.    wt: 2:   6 Three Notions of What is a Variable
  247.    wt: 2:   5 Talking about Numbers and Quantities
  248.    wt: 2:   4 A Brief Story of numbers and algebra
  249.    wt: 2:   3 Adding Words To Arithmetic
  250.    wt: 2:   2 What is a Variable
  251.    wt: 2:   1 Three Skills For Algebra
  252.    wt: 2:   About Folder Contents
  253.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  254.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  255.    wt: 2:   G.6 Bounded Derivatives implies Lipshitz Continuity
  256.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  257.    wt: 2:   Chapter 9 About First Courses in Calculus
  258.    wt: 2:   Fall 1983 Calculus Appetizer
  259.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  260.    wt: 2:   Chapter 3 Algebra Starter Lessons
  261.    wt: 1:   Skills Chapter 5 Calculus
  262.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  263.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  264.    wt: 1:   1 Calculator Starter Exercises
  265.    wt: 1:   7 Links Lessons Elsewhere
  266.    wt: 1:   8 arcsin left inverse of sine Graph
  267.    wt: 1:   7 arcsin left inverse of sine Definition
  268.    wt: 1:   3 Left Inverse of cosine arccos definition
  269.    wt: 1:   2 cosine function more properties
  270.    wt: 1:   1 cosine function properties
  271.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  272.    wt: 1:   17F Law of cosines
  273.    wt: 1:   14 Law of cosines
  274.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  275.    wt: 1:   12 Links Lessons elsewhere
  276.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  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:   G.2 Differentiable Functions Mean Value Theorem
  281.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  282.    wt: 1:   F.5b Extreme Value Theorem
  283.    wt: 1:   F.5a Equicontinuity Theorems
  284.    wt: 1:   F.4 Finite Covering Theorem
  285.    wt: 1:   F.3 Intermediate Value Theorem
  286.    wt: 1:   F.2 Closed Range Theorem
  287.    wt: 1:   F.1 What Functions are Continuous
  288.    wt: 1:   E2 Algebraic Properties of Limits
  289.    wt: 1:   E1 Error Control Inequalities
  290.    wt: 1:   D2 Limits of Monotone Sequences
  291.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  292.    wt: 1:   C Triangle Inequalities
  293.    wt: 1:   B3 Bolzano Weierstrass Theorem
  294.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  295.    wt: 1:   PostScript For and Against Decimal Perspectives
  296.    wt: 1:   A1. Introduction
  297.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  298.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  299.    wt: 1:   Chapter 23 Links To Trigonometry
  300.    wt: 1:   Chapter 22 Complex Numbers
  301.    wt: 1:   Chapter 21 Arrow Addition
  302.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  303.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  304.    wt: 1:   Chapter 18. Slopes Areas Integration
  305.    wt: 1:   Chapter 17. Area Approximation
  306.    wt: 1:   Chapter 16. Velocity Approximation
  307.    wt: 1:   Chapter 15. Slope Approximation
  308.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  309.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  310.    wt: 1:   Chapter 13. Acceleration
  311.    wt: 1:   Chapter 12. Units and Slopes
  312.    wt: 1:   Chapter 11. Graphing Slope versus Position
  313.    wt: 1:   Chapter 10 Slopes and Units
  314.    wt: 1:   Chapter 8. Slope Interpretation
  315.    wt: 1:   Chapter 7 Slopes and Velocity
  316.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  317.    wt: 1:   Chapter 5. Slope Sign Tests
  318.    wt: 1:   Chapter 4. More Slope Sign Analysis
  319.    wt: 1:   Chapter 3. Slope Sign Analysis
  320.    wt: 1:   Chapter 2. Slopes and Ski Trails
  321.    wt: 1:   Chapter 1.Introduction
  322.    wt: 1:   Foreword
  323.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  324.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  325.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  326.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  327.    wt: 1:   More Algebra and Slope based Calculus Preview
  328.    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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