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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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36 matches:

  1.    wt: 6:   38 Lessons on Calculating Derivatives/
  2.    wt: 5:   12 Webvideo Lessons on Area and Volume Calculation/
  3.    wt: 5:   5 Lessons on Integration/
  4.    wt: 5:   4 Lessons on Using Derivatives/
  5.    wt: 5:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   4 Computation Rules and Function Notation/
  7.    wt: 4:   Step 2 Algebraic solutions for one unknown/
  8.    wt: 4:   2 Formula Forward Use Evaluation/
  9.    wt: 4:   70 Calculus Starter Lessons/
  10.    wt: 3:   B Real Numbers Extrinsic Development/
  11.    wt: 3:   A Origins of Counting and Figuring Methods/
  12.    wt: 3:   10 Examples of Algebraic Reasoning/
  13.    wt: 3:   9 Proportionality Backwards and Forwards/
  14.    wt: 3:   8 Unifying Theme For Algebra/
  15.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  16.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  17.    wt: 3:   5 Real Numbers/
  18.    wt: 3:   Step 4 Gaussian Elimination/
  19.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  20.    wt: 3:   Step 1 Stick diagram and fractions/
  21.    wt: 3:   3 Solving Linear Equations/
  22.    wt: 3:   1 Working With Sets/
  23.    wt: 3:   Algebra Starter Lessons/
  24.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  25.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  26.    wt: 2:   D Decimal Long Division Methods/
  27.    wt: 2:   C Decimal Multiplication Methods/
  28.    wt: 2:   A Decimal Counting and Adding Methods/
  29.    wt: 2:   2 Arithmetic with Decimals/
  30.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  31.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  32.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  33.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  34.    wt: 1:   Volume 1A Pattern Based Reason/
  35.    wt: 1:   Volume 1 Elements of Reason/
  36.    wt: 1:   Mathematics 506 Lessons/

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91 matches:

  1.    wt: 2:   12 Quotient rule examples
  2.    wt: 2:   11 Quotient rule
  3.    wt: 2:   6 Power rule from product rule
  4.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  5.    wt: 2:   Chapter 3 Algebra Starter Lessons
  6.    wt: 1:   Skills Chapter 5 Calculus
  7.    wt: 1:   five decades make a difference
  8.    wt: 1:   three difficulties
  9.    wt: 1:   Lessening Algebra Difficulties
  10.    wt: 1:   02 21 words for teachers
  11.    wt: 1:   02 20 mathematics education references
  12.    wt: 1:   Different Kinds of Reasoning in maths
  13.    wt: 1:   chapitre 04 02 Deuxieme enigme
  14.    wt: 1:   chapitre 02 00 La Communication des idees
  15.    wt: 1:   B Energy Power02
  16.    wt: 1:   2 Conductance Resistance Duality02
  17.    wt: 1:   D Wire Resistance Calculation02
  18.    wt: 1:   B Wire Resistance Qualitative02
  19.    wt: 1:   H Series Circuit02
  20.    wt: 1:   C Electromotive force conventional current02
  21.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  22.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  23.    wt: 1:   19 Horizontal line rule and method
  24.    wt: 1:   18 Vertical Line Rule and Method
  25.    wt: 1:   4 quadratics difference of two squares
  26.    wt: 1:   1 Calculator Starter Exercises
  27.    wt: 1:   7 Links Lessons Elsewhere
  28.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  29.    wt: 1:   24 tangent Angle Difference Formula
  30.    wt: 1:   12 Links Lessons elsewhere
  31.    wt: 1:   6 Ruler and compass Angle Bisection
  32.    wt: 1:   A Measurement with Ruler Proper Use
  33.    wt: 1:   1 Equivalent Computation Rules
  34.    wt: 1:   2 Computation Rules Evaluation
  35.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  36.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  37.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  38.    wt: 1:   4 Counting with Trees Product Rule Take I
  39.    wt: 1:   D Remainders Modulo 11 Pair Rule
  40.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  41.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  42.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  43.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  44.    wt: 1:   11 Efficient Square Rule Use
  45.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  46.    wt: 1:   5 Prime Factorization and a Square Rule
  47.    wt: 1:   3 Two Chain Rule Method Exercises
  48.    wt: 1:   1 Chain Rule in Reverse Integration Method
  49.    wt: 1:   A Related lessons in Volume 3
  50.    wt: 1:   A Chain Rule Real Player video examples
  51.    wt: 1:   33 Chain Rule Real Player video examples
  52.    wt: 1:   30Chain Rule A Proof
  53.    wt: 1:   29 Chain Rule Optional Reading
  54.    wt: 1:   28 Chain Rule Preparation for a Proof
  55.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  56.    wt: 1:   26 Chain Rule Recognising outer inner functions
  57.    wt: 1:   25 Chain Rule Animated Examples Continued
  58.    wt: 1:   24 Chain Rule Animated Examples
  59.    wt: 1:   23 Chain Rule in general
  60.    wt: 1:   22 Chain Rule for polynomials
  61.    wt: 1:   21 Chain Rule for powers
  62.    wt: 1:   20 Chain Rule for Pulley Systems
  63.    wt: 1:   19 Chain Rule for linear functions
  64.    wt: 1:   18 Chain Rule Introduction
  65.    wt: 1:   17 Derivatives of quotients of sine and cosine
  66.    wt: 1:   10 Power rule for negative integers
  67.    wt: 1:   9 Reciprocal rule
  68.    wt: 1:   8 Differentiation of polynomials
  69.    wt: 1:   7 Animated Differentiation Examples
  70.    wt: 1:   5 Product Rule
  71.    wt: 1:   4 Sum Rule
  72.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  73.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  74.    wt: 1:   G.3 Constant Difference Theorem Proof
  75.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  76.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  77.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  78.    wt: 1:   Chapter 9 About First Courses in Calculus
  79.    wt: 1:   Fall 1983 Calculus Appetizer
  80.    wt: 1:   Chapter 18. Rules for Algebra
  81.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  82.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  83.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  84.    wt: 1:   Chapter 3 Algebra Difficulties
  85.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  86.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  87.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  88.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  89.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  90.    wt: 1:   More Algebra and Slope based Calculus Preview
  91.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

563 matches:

  1.    wt: 9:   11 Quotient rule
  2.    wt: 9:   6 Power rule from product rule
  3.    wt: 8:   29 Chain Rule Optional Reading
  4.    wt: 8:   28 Chain Rule Preparation for a Proof
  5.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
  6.    wt: 8:   26 Chain Rule Recognising outer inner functions
  7.    wt: 8:   23 Chain Rule in general
  8.    wt: 8:   22 Chain Rule for polynomials
  9.    wt: 8:   21 Chain Rule for powers
  10.    wt: 8:   12 Quotient rule examples
  11.    wt: 8:   10 Power rule for negative integers
  12.    wt: 8:   9 Reciprocal rule
  13.    wt: 8:   8 Differentiation of polynomials
  14.    wt: 8:   7 Animated Differentiation Examples
  15.    wt: 8:   5 Product Rule
  16.    wt: 8:   4 Sum Rule
  17.    wt: 7:   1 Chain Rule in Reverse Integration Method
  18.    wt: 7:   A Chain Rule Real Player video examples
  19.    wt: 7:   33 Chain Rule Real Player video examples
  20.    wt: 7:   30Chain Rule A Proof
  21.    wt: 7:   25 Chain Rule Animated Examples Continued
  22.    wt: 7:   24 Chain Rule Animated Examples
  23.    wt: 7:   20 Chain Rule for Pulley Systems
  24.    wt: 7:   19 Chain Rule for linear functions
  25.    wt: 7:   18 Chain Rule Introduction
  26.    wt: 7:   17 Derivatives of quotients of sine and cosine
  27.    wt: 7:   2 Motivation for Limit Definition Take 1
  28.    wt: 7:   2 Algebraic codification
  29.    wt: 6:   2 Computation Rules Evaluation
  30.    wt: 6:   2 Three Examples
  31.    wt: 6:   3 Two Chain Rule Method Exercises
  32.    wt: 6:   2 Indefinite Integrals Exercises
  33.    wt: 6:   A Related lessons in Volume 3
  34.    wt: 6:   2 Second derivative test prequel
  35.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
  36.    wt: 6:   38 Formulas and derivatives for powers and roots
  37.    wt: 6:   36 Cube root derivative animated
  38.    wt: 6:   34 Derivative of exponential function
  39.    wt: 6:   31 Derivatives of inverse functions
  40.    wt: 6:   16 Derivatives of reciprocals of sine and cosine
  41.    wt: 6:   15 sine and cosine derivatives 3rd step
  42.    wt: 6:   14 sine and cosine derivatives 2nd step
  43.    wt: 6:   13 sine and cosine derivatives 1st step
  44.    wt: 6:   3 Motivation for Limit Definition Take 2
  45.    wt: 6:   1 Fall 1983 Why Slopes Appetizer
  46.    wt: 6:   3 Decimal insights for limits continuity convergence
  47.    wt: 5:   21 Addition of Multiples of a Single Vector
  48.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  49.    wt: 5:   2 Combing Counts Addition Skills and Principles
  50.    wt: 5:   2 Algebraic View
  51.    wt: 5:   2 GE II Comparison
  52.    wt: 5:   2 Essentially one exercises three with solution
  53.    wt: 5:   2 Three Examples
  54.    wt: 5:   2 Another Rectangle Area Formula Example
  55.    wt: 5:   2 Subtraction Easy Case Examples
  56.    wt: 5:   Example 2 volume of a cone
  57.    wt: 5:   Example 1 volume of a pyramid
  58.    wt: 5:   Volume of Solid by Cross Sections Lesson
  59.    wt: 5:   Example 1. Area Between x and x squared
  60.    wt: 5:   Area Between Crossing Curves Lesson Take 2
  61.    wt: 5:   Area Between Crossing Curves Lesson Take 1
  62.    wt: 5:   Example 4 with x function of y
  63.    wt: 5:   Example 3
  64.    wt: 5:   Example 2
  65.    wt: 5:   Example 1
  66.    wt: 5:   Area Between Curves Lesson Take 2
  67.    wt: 5:   Area Between Curves Lesson Take 1
  68.    wt: 5:   Summary
  69.    wt: 5:   A Related Material in Volume 3
  70.    wt: 5:   5 Area Under Curve Exercise
  71.    wt: 5:   4 Definite Integrals Evaluation Exercises
  72.    wt: 5:   4 Second derivative test exercise example
  73.    wt: 5:   3 Second derivative test
  74.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  75.    wt: 5:   12 Limits with Parameters and Derivatives Take I
  76.    wt: 5:   11 Limits at infinity Three Examples
  77.    wt: 5:   10 Three one sided limits with infinite values
  78.    wt: 5:   9 Limits Continuity and Composition
  79.    wt: 5:   8 Four Animated Examples
  80.    wt: 5:   7 Evaluation by immediate or delayed substitution
  81.    wt: 5:   6 Continuity at a point
  82.    wt: 5:   5 Jumps and absence of unlimited error control
  83.    wt: 5:   4 Numerical properties
  84.    wt: 5:   1 Numerical introduction
  85.    wt: 4:   2 Correspondence between Triangles
  86.    wt: 4:   26 More Less Greater Than Comparison
  87.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  88.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  89.    wt: 4:   23 Distributive Law Two Derivations
  90.    wt: 4:   22 Multiplication of Signed Numbers
  91.    wt: 4:   19 Signed Multiples of Vectors
  92.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  93.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  94.    wt: 4:   16 Collinear Horizontal Arrows Vectors
  95.    wt: 4:   15 Head to Tails in place Addition Associative
  96.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  97.    wt: 4:   13 Arrows and Vectors in a Plane
  98.    wt: 4:   12 Real Numbers Line Signed Coordinates
  99.    wt: 4:   11 Signed Number Addition and Addition Properties
  100.    wt: 4:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  101.    wt: 4:   2 Counting Digits in Decimal Multiplication
  102.    wt: 4:   2 Fraction Operations Physical Development
  103.    wt: 4:   2 Linear Equation Literal Solution
  104.    wt: 4:   2 Addition and Multiplication Axioms
  105.    wt: 4:   1 Equivalent Computation Rules
  106.    wt: 4:   2 More and Less Than for Counts and Measures
  107.    wt: 4:   16 Real Numbers Comparison
  108.    wt: 4:   15 Real Number Division
  109.    wt: 4:   14 Real Number Multiplication
  110.    wt: 4:   13 Real Number Subtraction
  111.    wt: 4:   12 Real Number Additive Inverses or Negatives
  112.    wt: 4:   11 Real Number Addition
  113.    wt: 4:   10 Real Number Lengths and Signs
  114.    wt: 4:   2 Integers
  115.    wt: 4:   5 Independent versus Dependent Variables
  116.    wt: 4:   4 Changing Letters
  117.    wt: 4:   3 Geometric Formulas and Function Notation
  118.    wt: 4:   1 Formulas Dependence and Function Notation
  119.    wt: 4:   6 Algebraic Solution Example
  120.    wt: 4:   5 Algebraic Solutions Introduction
  121.    wt: 4:   4 Four Examples Fractional Coefficients
  122.    wt: 4:   3 Four Examples
  123.    wt: 4:   1 Proper Equal Sign Usage
  124.    wt: 4:   13 Naming Identifying Formulas with Words
  125.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  126.    wt: 4:   11 Volume of Sphere
  127.    wt: 4:   10 Volume of Pyramid
  128.    wt: 4:   9 Volume of Cone
  129.    wt: 4:   8 Compound Interest Formula Evaluation
  130.    wt: 4:   7 Compound Interest Formula Introduction
  131.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  132.    wt: 4:   5 Box Volume Formula Example
  133.    wt: 4:   4 Circle Area Formula Example
  134.    wt: 4:   3 Triangle Area Formula Example
  135.    wt: 4:   1 Written work formats for developing and showing skill
  136.    wt: 4:   2 Venn Diagrams
  137.    wt: 4:   2 What is a Variable
  138.    wt: 4:   2 Division with Single Digit Divisors
  139.    wt: 4:   2 One Digit Multipliers
  140.    wt: 3:   2 Conductance Resistance Duality02
  141.    wt: 3:   2 Square Root Simplification a prequel
  142.    wt: 3:   21 Parallelograms
  143.    wt: 3:   6 Ruler and compass Angle Bisection
  144.    wt: 3:   musings do not puiblish real numbers
  145.    wt: 3:   A Modular and Remainder Arithmetic
  146.    wt: 3:   A Signed Number Arithmetic Review
  147.    wt: 3:   9 Division with Digits after Decimal Point
  148.    wt: 3:   8 Division and Mulplication of Compound Fractions
  149.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  150.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  151.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  152.    wt: 3:   4 Location of Point in Decimal Addition
  153.    wt: 3:   3 Location of Point in Decimal Multiplication
  154.    wt: 3:   1 Fractions with Finite Decimal Expansions
  155.    wt: 3:   E Long Division Methods more
  156.    wt: 3:   D Long Division Methods
  157.    wt: 3:   C Three Decimal Subtraction Methods
  158.    wt: 3:   B Decimal Comparison and Subtraction
  159.    wt: 3:   A Decimal Addition Columm Methods
  160.    wt: 3:   8 Column Multiplication Methods in General
  161.    wt: 3:   7 Decimals Multiplication Methods Examples
  162.    wt: 3:   6 Column Methods for Decimal Multiplication
  163.    wt: 3:   5 Distributive Law for Whole Numbers
  164.    wt: 3:   4 Commutative Law Groups Counting Form
  165.    wt: 3:   3 Multiplicative Counting Skills Principles
  166.    wt: 3:   1 The Counting Origins of Numbers
  167.    wt: 3:   5 Areas of Rectangles Revisited
  168.    wt: 3:   4 Fraction Operations Axiomatic Development
  169.    wt: 3:   3 Inequalities Algebraically
  170.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  171.    wt: 3:   5 Proportionality in Equivalent Fractions
  172.    wt: 3:   4 Rates Ratios and Proporitionality
  173.    wt: 3:   3 Proportionality Examples
  174.    wt: 3:   1 What is Proportionality
  175.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  176.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  177.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  178.    wt: 3:   6 Compound Interest Forward and Backwards
  179.    wt: 3:   5 Triangle Area Formula Backwards
  180.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  181.    wt: 3:   3 Linear Equation Literal Solution More
  182.    wt: 3:   1 Changing Calculations
  183.    wt: 3:   6 Equations and Systems Equivalent or Implied
  184.    wt: 3:   5 Equality in Algebra
  185.    wt: 3:   4 Subtraction and Division Axioms
  186.    wt: 3:   3 Product Axioms Two Forms
  187.    wt: 3:   5 Greater More Less Than Signs in General
  188.    wt: 3:   4 Comparison of Negative Numbers
  189.    wt: 3:   3 More and Less Than with Unlike Signs
  190.    wt: 3:   1 Real Numbers Comparison
  191.    wt: 3:   9 Coordinates for Regions in Space
  192.    wt: 3:   8 Coordinates for Maps and Planes
  193.    wt: 3:   7 Real Numbers as Line Cordinates
  194.    wt: 3:   6 Unsigned Real Numbers
  195.    wt: 3:   5 Rational Numbers More
  196.    wt: 3:   4 Rational Numbers
  197.    wt: 3:   3 Fractions
  198.    wt: 3:   1 Whole and Natural Numbers
  199.    wt: 3:   More Exercises
  200.    wt: 3:   Simple Exercises
  201.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  202.    wt: 3:   4 GE III Animated Examples
  203.    wt: 3:   3 Gaussian Elimination 3 unknowns first example
  204.    wt: 3:   3 GE III Equation Addition and Multiplication
  205.    wt: 3:   1 GE Substitution four examples
  206.    wt: 3:   4 Solving a triangular system exercise
  207.    wt: 3:   3 Solving triangular system example
  208.    wt: 3:   1 Essentially One Unknown
  209.    wt: 3:   Skill Development Notes
  210.    wt: 3:   10 One Example
  211.    wt: 3:   9 Three Examples
  212.    wt: 3:   8 One Example
  213.    wt: 3:   7 Two Examples
  214.    wt: 3:   6 Three Examples
  215.    wt: 3:   5 Three Examples
  216.    wt: 3:   4 Two Examples
  217.    wt: 3:   3 Two Examples
  218.    wt: 3:   Using Letters for Physical Quantities
  219.    wt: 3:   Formula Usage Show Work Format
  220.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  221.    wt: 3:   9 Sets in Probability and Statistics
  222.    wt: 3:   8 Sets of Numbers
  223.    wt: 3:   7 Cautious or Safe Set Construction
  224.    wt: 3:   6 Power Set Notation
  225.    wt: 3:   5 Product Builder Notation
  226.    wt: 3:   4 Subset Builder Notation
  227.    wt: 3:   3 Counting with Sets etc
  228.    wt: 3:   1 Finite Sets
  229.    wt: 3:   6 Three Notions of What is a Variable
  230.    wt: 3:   5 Talking about Numbers and Quantities
  231.    wt: 3:   4 A Brief Story of numbers and algebra
  232.    wt: 3:   3 Adding Words To Arithmetic
  233.    wt: 3:   1 Three Skills For Algebra
  234.    wt: 3:   About Folder Contents
  235.    wt: 3:   Long Division Backwards more
  236.    wt: 3:   Long Division Backward
  237.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  238.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  239.    wt: 3:   Subtraction with J Conversions Example
  240.    wt: 3:   Subtraction Another Video Lesson
  241.    wt: 3:   9 22 Minute Subtraction Review Video
  242.    wt: 3:   8 Subtraction with Units of Measure
  243.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  244.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  245.    wt: 3:   5 A Tip for Efficent Subtraction
  246.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  247.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  248.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  249.    wt: 3:   2 Decimal Counting Practices
  250.    wt: 3:   Fall 1983 Calculus Appetizer
  251.    wt: 2:   Lessening Algebra Difficulties
  252.    wt: 2:   2 Energy Power Heat07
  253.    wt: 2:   B Energy Power02
  254.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  255.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  256.    wt: 2:   2 Reading and Writing Skills
  257.    wt: 2:   26 Function definitions done and coming
  258.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  259.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  260.    wt: 2:   23 Inverse Functions
  261.    wt: 2:   22 Square Root function graphically
  262.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  263.    wt: 2:   20 Interchanging coordinates a reflection
  264.    wt: 2:   2 Algebraic use of function notation
  265.    wt: 2:   1 Calculator Starter Exercises
  266.    wt: 2:   2 Signed Coordinates
  267.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  268.    wt: 2:   2 Complex Numbers made easier we hope
  269.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  270.    wt: 2:   2 Similarity By Design
  271.    wt: 2:   2 point slope equation for a line
  272.    wt: 2:   2 Cartesian Coordinates with signs
  273.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  274.    wt: 2:   PS H Distributive Law For Complex Numbers
  275.    wt: 2:   PS G Rotation Distributes over Addition
  276.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  277.    wt: 2:   PS E Multiplication with Polar Coordinates
  278.    wt: 2:   PS D Addition with Cartesian Coordinates
  279.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  280.    wt: 2:   PS B Parallelogram Construction Methods
  281.    wt: 2:   PS A Kite Construction Methods
  282.    wt: 2:   19 Right Triangle Similarity
  283.    wt: 2:   18 Triangle Similarity Take 1
  284.    wt: 2:   17 Right Bisectors of Triangle Sides
  285.    wt: 2:   16 Angles Subtended By Chords and Diameters
  286.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  287.    wt: 2:   14 Parallel Lines Postulate
  288.    wt: 2:   13 Angle Side Angle Failure
  289.    wt: 2:   12 Side Angle Side Failure
  290.    wt: 2:   11 Triangle Construction Fails
  291.    wt: 2:   10 Dropping a perpendicular to line
  292.    wt: 2:   9 Construction of a right bisector
  293.    wt: 2:   8 Isoceles Triangles
  294.    wt: 2:   7 Angle Side Angle
  295.    wt: 2:   5 Side Angle Side
  296.    wt: 2:   4 Side Side Side
  297.    wt: 2:   3 Isometry of Triangles Congruence
  298.    wt: 2:   1 Initial Concepts and Terms
  299.    wt: 2:   Short Course on Euclidean Geometry
  300.    wt: 2:   2 More and Less Than with Unlike Signs
  301.    wt: 2:   2 signed and unsigned numbers as coordinates
  302.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  303.    wt: 2:   2 Prime and Composites less than 16
  304.    wt: 2:   Division with Counts and Length
  305.    wt: 2:   Long Division forwards and backwards Example 3
  306.    wt: 2:   Long Division forwards and backwards Example 2
  307.    wt: 2:   Long Division forwards and backwards Example 1
  308.    wt: 2:   12 Why Long Division Works Take III
  309.    wt: 2:   11 Another Single Digit Divisor Example
  310.    wt: 2:   10 Division by Five Long and Short Ways
  311.    wt: 2:   9 Why Long Division Works Take II
  312.    wt: 2:   8 Correcting the Mistake
  313.    wt: 2:   7 Long Divison Mistake Catching
  314.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  315.    wt: 2:   5 Long Division Include Zeroes or not
  316.    wt: 2:   4 Division with 2 Digit Divsors
  317.    wt: 2:   3 Division Single Digit Divisor Example
  318.    wt: 2:   1 Divsion Physical Examples
  319.    wt: 2:   D Decimal Multiplication Methods Derived
  320.    wt: 2:   C Counting Areas with Powers of Ten
  321.    wt: 2:   B Powers of Ten
  322.    wt: 2:   A Elementary Basis for Multiplication Methods
  323.    wt: 2:   6 Multiplication Commutes Order Not Important
  324.    wt: 2:   5 Decimal Fraction Multiplication
  325.    wt: 2:   4 Two and Three Digit Multipliers
  326.    wt: 2:   3 More One Digit Multipliers
  327.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  328.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  329.    wt: 2:   Video Power Notation in Decimal Expansion
  330.    wt: 2:   1 Why 3 times 5 gives 15
  331.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  332.    wt: 2:   8 What skills and work habits to require
  333.    wt: 2:   7 Adding decimal fractions using decimal point
  334.    wt: 2:   6. Counting and adding units and mixed units
  335.    wt: 2:   5. How to add decimals C. Examples
  336.    wt: 2:   4. How to add with decimals B with conversions
  337.    wt: 2:   3. How to add with decimals A sans conversions
  338.    wt: 2:   1. Explaining Addition Table
  339.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  340.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  341.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  342.    wt: 2:   G.3 Constant Difference Theorem Proof
  343.    wt: 2:   G.2 Differentiable Functions Mean Value Theorem
  344.    wt: 2:   G.1 Differentiable Functions Rolles Theorem
  345.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  346.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  347.    wt: 2:   Chapter 9 About First Courses in Calculus
  348.    wt: 2:   Chapter 2. Slopes and Ski Trails
  349.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  350.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  351.    wt: 2:   Chapter 3 Algebra Difficulties
  352.    wt: 2:   Chapter 2 For and Against Mathematics
  353.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  354.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  355.    wt: 2:   Chapter 2 Skill Development
  356.    wt: 2:   Three Remarks
  357.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  358.    wt: 2:   Chapter 3 Algebra Starter Lessons
  359.    wt: 1:   Skills Chapter 5 Calculus
  360.    wt: 1:   2 arithmetic with signed numbers
  361.    wt: 1:   why bother
  362.    wt: 1:   Applied Maths Program14092009 POMME variant
  363.    wt: 1:   About site lesson plans
  364.    wt: 1:   five decades make a difference
  365.    wt: 1:   three difficulties
  366.    wt: 1:   the trouble with algebra
  367.    wt: 1:   three goals for Mathematics Education
  368.    wt: 1:   02 21 words for teachers
  369.    wt: 1:   02 20 mathematics education references
  370.    wt: 1:   Different Kinds of Reasoning in maths
  371.    wt: 1:   three kinds of reason in mathematics
  372.    wt: 1:   Prequel In For A Penny In For A Pound
  373.    wt: 1:   education an empirical art
  374.    wt: 1:   fairness and inductive principles for instruction
  375.    wt: 1:   chapitre 04 02 Deuxieme enigme
  376.    wt: 1:   chapitre 02 00 La Communication des idees
  377.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  378.    wt: 1:   4 Energy Power Heat09
  379.    wt: 1:   3 Energy Power Heat08
  380.    wt: 1:   1 Energy Power Heat06
  381.    wt: 1:   E Energy Power05
  382.    wt: 1:   D Energy Power04
  383.    wt: 1:   C Energy Power03
  384.    wt: 1:   A Energy Power01
  385.    wt: 1:   D Wire Resistance Calculation02
  386.    wt: 1:   B Wire Resistance Qualitative02
  387.    wt: 1:   H Series Circuit02
  388.    wt: 1:   C Electromotive force conventional current02
  389.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  390.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  391.    wt: 1:   24 Standards For Skill Develoment Take II
  392.    wt: 1:   24 Standards For Skill Develoment
  393.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  394.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  395.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  396.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  397.    wt: 1:   22 Student Centered Highschool Mathematics
  398.    wt: 1:   19 Horizontal line rule and method
  399.    wt: 1:   18 Vertical Line Rule and Method
  400.    wt: 1:   4 quadratics difference of two squares
  401.    wt: 1:   2 quadratics graphing in general
  402.    wt: 1:   11 Growth and Decay in Biology
  403.    wt: 1:   10 Exponential Growth and Decay Models
  404.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  405.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  406.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  407.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  408.    wt: 1:   5 Natural Logarithm Calculator Exercises
  409.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  410.    wt: 1:   7 Links Lessons Elsewhere
  411.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  412.    wt: 1:   2 Column Multiplication Method
  413.    wt: 1:   16 cotangent function Definition Graph and Inverse
  414.    wt: 1:   15 cosecant function Definition Graph and Inverse
  415.    wt: 1:   14 secant function Definition Graph and Inverse
  416.    wt: 1:   13 cosecant function Definition Graph and Inverse
  417.    wt: 1:   12 motivation for term arctan
  418.    wt: 1:   11 arctan left inverse of tangent Graph
  419.    wt: 1:   10 arctan left inverse of tangent Definition
  420.    wt: 1:   9 Summary Degrees to Radians and back
  421.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  422.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  423.    wt: 1:   C Straight Lines Slope from Coordinates
  424.    wt: 1:   B Straight Line Slope Scaling Properties More
  425.    wt: 1:   A Straight Line Slope Scaling Properties
  426.    wt: 1:   8 Straight Lines Equation for vertical
  427.    wt: 1:   7 Tangent Function is odd on this domain
  428.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  429.    wt: 1:   5 Tangent Function Graph
  430.    wt: 1:   4 Tangent Function Properties
  431.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  432.    wt: 1:   24 tangent Angle Difference Formula
  433.    wt: 1:   21 sine and cosine Half Angle Formulas
  434.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  435.    wt: 1:   21 Logarithms Powers and Exponentials
  436.    wt: 1:   20 N th Roots of Complex Numbers
  437.    wt: 1:   8 Triangles Cascade Problem Solving
  438.    wt: 1:   7 Trignometric Ratios Unit Circle
  439.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  440.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  441.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  442.    wt: 1:   3 Trigonometric Ratios sine and cosine
  443.    wt: 1:   12 Links Lessons elsewhere
  444.    wt: 1:   A Measurement with Ruler Proper Use
  445.    wt: 1:   2 Measuring Area Directly
  446.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  447.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  448.    wt: 1:   8 GCD from Euclidean Algorithm
  449.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  450.    wt: 1:   4 Counting with Trees Product Rule Take I
  451.    wt: 1:   3 signed coordinates for maps and planes
  452.    wt: 1:   2 Unit Fraction Multiplication
  453.    wt: 1:   D Remainders Modulo 11 Pair Rule
  454.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  455.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  456.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  457.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  458.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  459.    wt: 1:   5 Remainder Arithmetic Modulo 5
  460.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  461.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  462.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  463.    wt: 1:   1 Remainder Arithmetic Modulo 10
  464.    wt: 1:   20 Uniqueness of Prime Factorization
  465.    wt: 1:   11 Efficient Square Rule Use
  466.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  467.    wt: 1:   5 Prime Factorization and a Square Rule
  468.    wt: 1:   The 20 Times Table
  469.    wt: 1:   2 Time and Date Matters in School
  470.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  471.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  472.    wt: 1:   G.5 Motions With Bounded Velocities
  473.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  474.    wt: 1:   F.5b Extreme Value Theorem
  475.    wt: 1:   F.5a Equicontinuity Theorems
  476.    wt: 1:   F.4 Finite Covering Theorem
  477.    wt: 1:   F.3 Intermediate Value Theorem
  478.    wt: 1:   F.2 Closed Range Theorem
  479.    wt: 1:   F.1 What Functions are Continuous
  480.    wt: 1:   E2 Algebraic Properties of Limits
  481.    wt: 1:   E1 Error Control Inequalities
  482.    wt: 1:   D2 Limits of Monotone Sequences
  483.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  484.    wt: 1:   C Triangle Inequalities
  485.    wt: 1:   B3 Bolzano Weierstrass Theorem
  486.    wt: 1:   PostScript For and Against Decimal Perspectives
  487.    wt: 1:   A1. Introduction
  488.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  489.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  490.    wt: 1:   Chapter 23 Links To Trigonometry
  491.    wt: 1:   Chapter 22 Complex Numbers
  492.    wt: 1:   Chapter 21 Arrow Addition
  493.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  494.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  495.    wt: 1:   Chapter 18. Slopes Areas Integration
  496.    wt: 1:   Chapter 17. Area Approximation
  497.    wt: 1:   Chapter 16. Velocity Approximation
  498.    wt: 1:   Chapter 15. Slope Approximation
  499.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  500.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  501.    wt: 1:   Chapter 13. Acceleration
  502.    wt: 1:   Chapter 12. Units and Slopes
  503.    wt: 1:   Chapter 11. Graphing Slope versus Position
  504.    wt: 1:   Chapter 10 Slopes and Units
  505.    wt: 1:   Chapter 8. Slope Interpretation
  506.    wt: 1:   Chapter 7 Slopes and Velocity
  507.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  508.    wt: 1:   Chapter 5. Slope Sign Tests
  509.    wt: 1:   Chapter 4. More Slope Sign Analysis
  510.    wt: 1:   Chapter 3. Slope Sign Analysis
  511.    wt: 1:   Chapter 1.Introduction
  512.    wt: 1:   Foreword
  513.    wt: 1:   Chapter 18. Rules for Algebra
  514.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  515.    wt: 1:   Annotated Links to Material Elsehwere
  516.    wt: 1:   Postscript B Mathematics Education References
  517.    wt: 1:   Postscript A Three Remarks
  518.    wt: 1:   Chapter 12 Four Phases
  519.    wt: 1:   Chapter 11 Elementary Instruction
  520.    wt: 1:   Chapter 10 Transition
  521.    wt: 1:   Chapter 9 The Two Ends
  522.    wt: 1:   Chapter 8 Modern Instruction
  523.    wt: 1:   Chapter 7 Two Treatments of Geometry
  524.    wt: 1:   Chapter 5 Four References
  525.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  526.    wt: 1:   Chapter 1 Introduction
  527.    wt: 1:   Foreword
  528.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  529.    wt: 1:   Postscript C Consistency as a Tool for Reason
  530.    wt: 1:   Postscript B More on Story Telling and Reason
  531.    wt: 1:   Postscript A Story Telling
  532.    wt: 1:   Chapter 24 Direct and Indirect Reason
  533.    wt: 1:   Chapter 23 Truth Tables
  534.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  535.    wt: 1:   Chapter 21 Occurrence Tables
  536.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  537.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  538.    wt: 1:   Chapter 18 Sense and Knowledge
  539.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  540.    wt: 1:   Chapter 15 Objective Processes
  541.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  542.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  543.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  544.    wt: 1:   Chapter 11 Accidental Patterns
  545.    wt: 1:   Chapter 10 Responsibility
  546.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  547.    wt: 1:   Chapter 8 Change of Language
  548.    wt: 1:   Chapter 7 Longer Chains of Reason
  549.    wt: 1:   Chapter 6 Chains of Reason
  550.    wt: 1:   Chapter 5 Deception
  551.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  552.    wt: 1:   Chapter 1 Introduction
  553.    wt: 1:   Foreword
  554.    wt: 1:   B. Domino effect of errors
  555.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  556.    wt: 1:   Chapter 2 Why Sets
  557.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  558.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  559.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  560.    wt: 1:   More Algebra and Slope based Calculus Preview
  561.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  562.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  563.    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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