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  1.    wt: 6:   Advanced Calculus Volume 3 Appendices/
  2.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  3.    wt: 3:   4 Lessons on Using Derivatives/
  4.    wt: 3:   38 Lessons on Calculating Derivatives/
  5.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  6.    wt: 2:   3 Quadratics Geometrically/
  7.    wt: 2:   13 Vectors/
  8.    wt: 2:   3 Cartesian and Polar Coordinates/
  9.    wt: 2:   3 Prime Factorization Skills/
  10.    wt: 2:   C Decimal Multiplication Methods/
  11.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  12.    wt: 2:   13 Lessons on Limits and Continuity/
  13.    wt: 1:   LAMP Lean Applied Mathematics Program/
  14.    wt: 1:   Volume 1A Regles et modeles/
  15.    wt: 1:   4 Functions/
  16.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  17.    wt: 1:   Step 4 Gaussian Elimination/
  18.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  19.    wt: 1:   Step 1 Stick diagram and fractions/
  20.    wt: 1:   3 Solving Linear Equations/
  21.    wt: 1:   1 Working With Sets/
  22.    wt: 1:   8 Arithmetic with Signed Numbers/
  23.    wt: 1:   7 Arithmetic and Fractions with Units/
  24.    wt: 1:   D Decimal Long Division Methods/
  25.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  26.    wt: 1:   A Decimal Counting and Adding Methods/
  27.    wt: 1:   2 Arithmetic with Decimals/
  28.    wt: 1:   Time Date Matters/
  29.    wt: 1:   Skills with take home value/
  30.    wt: 1:   5 Lessons on Integration/
  31.    wt: 1:   70 Calculus Starter Lessons/
  32.    wt: 1:   Volume 2 Three Skills For Algebra/
  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 Skill Development Framework/

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250 matches:

  1.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  2.    wt: 3:   3 Adding Movements with same direction
  3.    wt: 3:   31 Derivatives of inverse functions
  4.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  5.    wt: 2:   23 Inverse Functions
  6.    wt: 2:   7 Functions with finite domains
  7.    wt: 2:   3 Navigation with Arrows or Vectors
  8.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  9.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  10.    wt: 2:   30 unit circle calculation of six trigonometric functions
  11.    wt: 2:   3 Similarity by Design with coordinates
  12.    wt: 2:   3 More and Less Than with Unlike Signs
  13.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  14.    wt: 2:   13 Naming Identifying Formulas with Words
  15.    wt: 2:   3 Counting with Sets etc
  16.    wt: 2:   3 Properties of Square Roots with example
  17.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  18.    wt: 2:   3 Counting with Tables and Trees II
  19.    wt: 2:   13 Subtraction with Additive Inverse
  20.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  21.    wt: 2:   4. How to add with decimals B with conversions
  22.    wt: 2:   3. How to add with decimals A sans conversions
  23.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  24.    wt: 2:   A Related Material in Volume 3
  25.    wt: 2:   A Related lessons in Volume 3
  26.    wt: 2:   38 Formulas and derivatives for powers and roots
  27.    wt: 2:   33 Chain Rule Real Player video examples
  28.    wt: 2:   15 sine and cosine derivatives 3rd step
  29.    wt: 2:   13 sine and cosine derivatives 1st step
  30.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  31.    wt: 2:   Fall 1983 Calculus Appetizer
  32.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  33.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  34.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  35.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  36.    wt: 1:   Skills Chapter 5 Calculus
  37.    wt: 1:   Skills Chapter 3 Algebra
  38.    wt: 1:   3 Euclidean Geometry Leanly
  39.    wt: 1:   2 arithmetic with signed numbers
  40.    wt: 1:   1 arithmetic with unsigned numbers
  41.    wt: 1:   the trouble with algebra
  42.    wt: 1:   05 13 OldSiteEntrancePage
  43.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  44.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  45.    wt: 1:   3 Energy Power Heat08
  46.    wt: 1:   C Energy Power03
  47.    wt: 1:   E Wire Resistance Calculation03
  48.    wt: 1:   3 Like resistors in parallel
  49.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  50.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  51.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  52.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  53.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  54.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  55.    wt: 1:   13 Addition and Addition Tables
  56.    wt: 1:   3 Preparing for Science Studies
  57.    wt: 1:   Ages 12 to 14 Skills with take home value
  58.    wt: 1:   Ages 3 plus to 4 plus
  59.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  60.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  61.    wt: 1:   sign monoticity analysis example 3
  62.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  63.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  64.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  65.    wt: 1:   15 Sign analysis of functions
  66.    wt: 1:   13 From one to one to many to one
  67.    wt: 1:   8 Set view of relations and functions
  68.    wt: 1:   3 Formula or function graphing exercise
  69.    wt: 1:   3 quadratics factoring by inspection
  70.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  71.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  72.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  73.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  74.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  75.    wt: 1:   3 Polynomials Multiplication Addition
  76.    wt: 1:   13 cosecant function Definition Graph and Inverse
  77.    wt: 1:   3 Left Inverse of cosine arccos definition
  78.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  79.    wt: 1:   13 Velocity Vectors in Physics
  80.    wt: 1:   6 Vectors with Coordinates
  81.    wt: 1:   3 graphing y=f(x c) plus K
  82.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  83.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  84.    wt: 1:   32 seven rows of pascals triangle
  85.    wt: 1:   31 basic secant cosecant cotangent trig identities
  86.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  87.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  88.    wt: 1:   13 Graph of tangent function many periods
  89.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  90.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  91.    wt: 1:   13 Trig Formulas for dot and cross Products
  92.    wt: 1:   3 Addition Properties
  93.    wt: 1:   3 Trigonometric Ratios sine and cosine
  94.    wt: 1:   1 Angle Measurement with Degrees
  95.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  96.    wt: 1:   4 Similarity Definition with Coordinate
  97.    wt: 1:   3 Slope product for perpendicular lines
  98.    wt: 1:   13 Pythagorean spatial distance formulas
  99.    wt: 1:   3 Rectangular Coordinates Review
  100.    wt: 1:   2 Cartesian Coordinates with signs
  101.    wt: 1:   PS E Multiplication with Polar Coordinates
  102.    wt: 1:   PS D Addition with Cartesian Coordinates
  103.    wt: 1:   13 Angle Side Angle Failure
  104.    wt: 1:   3 Isometry of Triangles Congruence
  105.    wt: 1:   A Measurement with Ruler Proper Use
  106.    wt: 1:   6 Figuring with Maps Not to Scale
  107.    wt: 1:   3 Lengths and Areas on Maps and Plans
  108.    wt: 1:   23 Distributive Law Two Derivations
  109.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  110.    wt: 1:   13 Arrows and Vectors in a Plane
  111.    wt: 1:   9 Division with Digits after Decimal Point
  112.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  113.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  114.    wt: 1:   3 Location of Point in Decimal Multiplication
  115.    wt: 1:   1 Fractions with Finite Decimal Expansions
  116.    wt: 1:   3 Multiplicative Counting Skills Principles
  117.    wt: 1:   3 Inequalities Algebraically
  118.    wt: 1:   3 Proportionality Examples
  119.    wt: 1:   3 Linear Equation Literal Solution More
  120.    wt: 1:   3 Product Axioms Two Forms
  121.    wt: 1:   13 Real Number Subtraction
  122.    wt: 1:   3 Fractions
  123.    wt: 1:   3 Geometric Formulas and Function Notation
  124.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  125.    wt: 1:   3 GE III Equation Addition and Multiplication
  126.    wt: 1:   3 Solving triangular system example
  127.    wt: 1:   2 Essentially one exercises three with solution
  128.    wt: 1:   3 Four Examples
  129.    wt: 1:   3 Two Examples
  130.    wt: 1:   11 Volume of Sphere
  131.    wt: 1:   10 Volume of Pyramid
  132.    wt: 1:   9 Volume of Cone
  133.    wt: 1:   5 Box Volume Formula Example
  134.    wt: 1:   3 Triangle Area Formula Example
  135.    wt: 1:   3 Adding Words To Arithmetic
  136.    wt: 1:   3 Comparison of Negative Numbers
  137.    wt: 1:   2 More and Less Than with Unlike Signs
  138.    wt: 1:   5 Square Roots with primes more still
  139.    wt: 1:   4 Square Roots with primes more
  140.    wt: 1:   2 Square Roots with Prime
  141.    wt: 1:   13 GCD from given Prime Factorization
  142.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  143.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  144.    wt: 1:   4 Counting with Trees Product Rule Take I
  145.    wt: 1:   2 Counting with Tables and Trees I
  146.    wt: 1:   3 signed coordinates for maps and planes
  147.    wt: 1:   6 Simplification of Fractions with Units
  148.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  149.    wt: 1:   4 Fractions with Units
  150.    wt: 1:   3 Multiplying Units and Numbers
  151.    wt: 1:   1 Addition and Subtraction with Units
  152.    wt: 1:   21 Working With Signs
  153.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  154.    wt: 1:   14 Adding and Subtracting with Like Denominators
  155.    wt: 1:   13 Fraction Comparison Algebraic View
  156.    wt: 1:   3 Unit fraction of a fraction
  157.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  158.    wt: 1:   26 Divisibility by 2 3 5 Example
  159.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  160.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  161.    wt: 1:   23 Remainder Arithmetic Modulo 2
  162.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  163.    wt: 1:   21 Remainder Arithmetic Modulo 3
  164.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  165.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  166.    wt: 1:   13 video Factors of 24 using prime
  167.    wt: 1:   10 video Prime Factorization upto 23 squared
  168.    wt: 1:   3 video Primes and Composites from 9 times table
  169.    wt: 1:   Division with Counts and Length
  170.    wt: 1:   Long Division forwards and backwards Example 3
  171.    wt: 1:   4 Division with 2 Digit Divsors
  172.    wt: 1:   3 Division Single Digit Divisor Example
  173.    wt: 1:   2 Division with Single Digit Divisors
  174.    wt: 1:   C Counting Areas with Powers of Ten
  175.    wt: 1:   3 More One Digit Multipliers
  176.    wt: 1:   1 Why 3 times 5 gives 15
  177.    wt: 1:   Subtraction with J Conversions Example
  178.    wt: 1:   8 Subtraction with Units of Measure
  179.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  180.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  181.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  182.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  183.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  184.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  185.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  186.    wt: 1:   014 Counting Days with Calendars
  187.    wt: 1:   013 Travel Time Tables
  188.    wt: 1:   3 Units and Lengths of Time
  189.    wt: 1:   Example 2 volume of a cone
  190.    wt: 1:   Example 1 volume of a pyramid
  191.    wt: 1:   Volume of Solid by Cross Sections Lesson
  192.    wt: 1:   Example 4 with x function of y
  193.    wt: 1:   Example 3
  194.    wt: 1:   3 Two Chain Rule Method Exercises
  195.    wt: 1:   3 Second derivative test
  196.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  197.    wt: 1:   36 Cube root derivative animated
  198.    wt: 1:   34 Derivative of exponential function
  199.    wt: 1:   30Chain Rule A Proof
  200.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  201.    wt: 1:   26 Chain Rule Recognising outer inner functions
  202.    wt: 1:   23 Chain Rule in general
  203.    wt: 1:   19 Chain Rule for linear functions
  204.    wt: 1:   17 Derivatives of quotients of sine and cosine
  205.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  206.    wt: 1:   14 sine and cosine derivatives 2nd step
  207.    wt: 1:   3 Motivation for Limit Definition Take 2
  208.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  209.    wt: 1:   10 Three one sided limits with infinite values
  210.    wt: 1:   3 Decimal insights for limits continuity convergence
  211.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  212.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  213.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  214.    wt: 1:   G.5 Motions With Bounded Velocities
  215.    wt: 1:   G.3 Constant Difference Theorem Proof
  216.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  217.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  218.    wt: 1:   F.3 Intermediate Value Theorem
  219.    wt: 1:   F.1 What Functions are Continuous
  220.    wt: 1:   B3 Bolzano Weierstrass Theorem
  221.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  222.    wt: 1:   Chapter 23 Links To Trigonometry
  223.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  224.    wt: 1:   Chapter 13. Acceleration
  225.    wt: 1:   Chapter 9 About First Courses in Calculus
  226.    wt: 1:   Chapter 3. Slope Sign Analysis
  227.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  228.    wt: 1:   Chapter 31 Direct and Indirect Reason
  229.    wt: 1:   Chapter 30 Truth Tables
  230.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  231.    wt: 1:   Chapter 23. Notation For Sums
  232.    wt: 1:   Chapter 19. Functions and Sets
  233.    wt: 1:   Chapter 13. Second Reading Guide
  234.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  235.    wt: 1:   Chapter 3 Chains of Reason
  236.    wt: 1:   Chapter 3 Algebra Difficulties
  237.    wt: 1:   Chapter 23 Truth Tables
  238.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  239.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  240.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  241.    wt: 1:   L Skills with take home value
  242.    wt: 1:   D. Check work a must with a caution
  243.    wt: 1:   Chapter 3 Algebra Starter Lessons
  244.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  245.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  246.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  247.    wt: 1:   More Algebra and Slope based Calculus Preview
  248.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  249.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  250.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Extended Search

671 matches:

  1.    wt: 8:   B3 Bolzano Weierstrass Theorem
  2.    wt: 7:   31 Derivatives of inverse functions
  3.    wt: 7:   G.2 Lipshitz Conditions Integration Calculus Reform
  4.    wt: 7:   G.1 First Fundamental Theorem of Calculus
  5.    wt: 7:   G.6 Bounded Derivatives implies Lipshitz Continuity
  6.    wt: 7:   G.5 Motions With Bounded Velocities
  7.    wt: 7:   G.3 Constant Difference Theorem Proof
  8.    wt: 7:   G.2 Differentiable Functions Mean Value Theorem
  9.    wt: 7:   G.1 Differentiable Functions Rolles Theorem
  10.    wt: 7:   F.5a Equicontinuity Theorems
  11.    wt: 7:   F.3 Intermediate Value Theorem
  12.    wt: 7:   F.1 What Functions are Continuous
  13.    wt: 7:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  14.    wt: 6:   Postscript One Sided and Intermediate Value Theorems
  15.    wt: 6:   G.4 Lipschitz Continuity implies EquiContinuity
  16.    wt: 6:   F.5b Extreme Value Theorem
  17.    wt: 6:   F.4 Finite Covering Theorem
  18.    wt: 6:   F.2 Closed Range Theorem
  19.    wt: 6:   E2 Algebraic Properties of Limits
  20.    wt: 6:   E1 Error Control Inequalities
  21.    wt: 6:   D2 Limits of Monotone Sequences
  22.    wt: 6:   D1 Sets and Sequences GLBs and LGBs
  23.    wt: 6:   C Triangle Inequalities
  24.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
  25.    wt: 6:   PostScript For and Against Decimal Perspectives
  26.    wt: 6:   A1. Introduction
  27.    wt: 5:   3 Navigation with Arrows or Vectors
  28.    wt: 5:   3 Solving triangular system example
  29.    wt: 5:   A Related lessons in Volume 3
  30.    wt: 5:   38 Formulas and derivatives for powers and roots
  31.    wt: 5:   33 Chain Rule Real Player video examples
  32.    wt: 5:   15 sine and cosine derivatives 3rd step
  33.    wt: 5:   13 sine and cosine derivatives 1st step
  34.    wt: 5:   13 Limits with Parameters and Derivatives Take II
  35.    wt: 5:   Chapter 23 Links To Trigonometry
  36.    wt: 5:   Chapter 13. Acceleration
  37.    wt: 5:   Chapter 3. Slope Sign Analysis
  38.    wt: 5:   Fall 1983 Calculus Appetizer
  39.    wt: 4:   23 Inverse Functions
  40.    wt: 4:   13 Velocity Vectors in Physics
  41.    wt: 4:   34 sines and cosines of 2A 3A 4A 5A
  42.    wt: 4:   33 sines and cosines of 2A 3A 4A 5A
  43.    wt: 4:   13 Pythagorean spatial distance formulas
  44.    wt: 4:   3 Rectangular Coordinates Review
  45.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  46.    wt: 4:   2 Essentially one exercises three with solution
  47.    wt: 4:   3 Adding Movements with same direction
  48.    wt: 4:   13 video Factors of 24 using prime
  49.    wt: 4:   3 video Primes and Composites from 9 times table
  50.    wt: 4:   3 More One Digit Multipliers
  51.    wt: 4:   3. How to add with decimals A sans conversions
  52.    wt: 4:   Example 4 with x function of y
  53.    wt: 4:   Example 3
  54.    wt: 4:   3 Second derivative test
  55.    wt: 4:   2 Second derivative test prequel
  56.    wt: 4:   1 Two cubic sketching exercises with 1st derivative
  57.    wt: 4:   36 Cube root derivative animated
  58.    wt: 4:   34 Derivative of exponential function
  59.    wt: 4:   30Chain Rule A Proof
  60.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  61.    wt: 4:   26 Chain Rule Recognising outer inner functions
  62.    wt: 4:   23 Chain Rule in general
  63.    wt: 4:   22 Chain Rule for polynomials
  64.    wt: 4:   19 Chain Rule for linear functions
  65.    wt: 4:   17 Derivatives of quotients of sine and cosine
  66.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  67.    wt: 4:   14 sine and cosine derivatives 2nd step
  68.    wt: 4:   12 Quotient rule examples
  69.    wt: 4:   5 Product Rule
  70.    wt: 4:   3 Motivation for Limit Definition Take 2
  71.    wt: 4:   1 Fall 1983 Why Slopes Appetizer
  72.    wt: 4:   12 Limits with Parameters and Derivatives Take I
  73.    wt: 4:   Chapter 14 Limits and Continuity with and sans Decimals
  74.    wt: 4:   Chapter 9 About First Courses in Calculus
  75.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  76.    wt: 3:   Skills Chapter 3 Algebra
  77.    wt: 3:   13 From one to one to many to one
  78.    wt: 3:   7 Functions with finite domains
  79.    wt: 3:   3 Formula or function graphing exercise
  80.    wt: 3:   3 quadratics factoring by inspection
  81.    wt: 3:   6 Vectors with Coordinates
  82.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  83.    wt: 3:   12 Straight Lines Graphing mx plus b
  84.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  85.    wt: 3:   3 Similarity by Design with coordinates
  86.    wt: 3:   2 Cartesian Coordinates with signs
  87.    wt: 3:   3 GE III Equation Addition and Multiplication
  88.    wt: 3:   4 Solving a triangular system exercise
  89.    wt: 3:   1 Essentially One Unknown
  90.    wt: 3:   3 Four Examples
  91.    wt: 3:   3 Two Examples
  92.    wt: 3:   3 Counting with Sets etc
  93.    wt: 3:   10 video Prime Factorization upto 23 squared
  94.    wt: 3:   3 Division Single Digit Divisor Example
  95.    wt: 3:   C Counting Areas with Powers of Ten
  96.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  97.    wt: 3:   1 Why 3 times 5 gives 15
  98.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  99.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  100.    wt: 3:   4. How to add with decimals B with conversions
  101.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  102.    wt: 3:   Example 2 volume of a cone
  103.    wt: 3:   Example 1 volume of a pyramid
  104.    wt: 3:   Volume of Solid by Cross Sections Lesson
  105.    wt: 3:   Example 2
  106.    wt: 3:   Example 1
  107.    wt: 3:   A Related Material in Volume 3
  108.    wt: 3:   4 Second derivative test exercise example
  109.    wt: 3:   A Chain Rule Real Player video examples
  110.    wt: 3:   29 Chain Rule Optional Reading
  111.    wt: 3:   28 Chain Rule Preparation for a Proof
  112.    wt: 3:   25 Chain Rule Animated Examples Continued
  113.    wt: 3:   24 Chain Rule Animated Examples
  114.    wt: 3:   21 Chain Rule for powers
  115.    wt: 3:   20 Chain Rule for Pulley Systems
  116.    wt: 3:   18 Chain Rule Introduction
  117.    wt: 3:   11 Quotient rule
  118.    wt: 3:   10 Power rule for negative integers
  119.    wt: 3:   9 Reciprocal rule
  120.    wt: 3:   8 Differentiation of polynomials
  121.    wt: 3:   7 Animated Differentiation Examples
  122.    wt: 3:   6 Power rule from product rule
  123.    wt: 3:   4 Sum Rule
  124.    wt: 3:   2 Motivation for Limit Definition Take 1
  125.    wt: 3:   10 Three one sided limits with infinite values
  126.    wt: 3:   4 Numerical properties
  127.    wt: 3:   3 Decimal insights for limits continuity convergence
  128.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  129.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  130.    wt: 3:   Chapter 22 Complex Numbers
  131.    wt: 3:   Chapter 21 Arrow Addition
  132.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  133.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  134.    wt: 3:   Chapter 18. Slopes Areas Integration
  135.    wt: 3:   Chapter 17. Area Approximation
  136.    wt: 3:   Chapter 16. Velocity Approximation
  137.    wt: 3:   Chapter 15. Slope Approximation
  138.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  139.    wt: 3:   Chapter 12. Units and Slopes
  140.    wt: 3:   Chapter 11. Graphing Slope versus Position
  141.    wt: 3:   Chapter 10 Slopes and Units
  142.    wt: 3:   Chapter 8. Slope Interpretation
  143.    wt: 3:   Chapter 7 Slopes and Velocity
  144.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  145.    wt: 3:   Chapter 5. Slope Sign Tests
  146.    wt: 3:   Chapter 4. More Slope Sign Analysis
  147.    wt: 3:   Chapter 2. Slopes and Ski Trails
  148.    wt: 3:   Chapter 1.Introduction
  149.    wt: 3:   Foreword
  150.    wt: 3:   Chapter 31 Direct and Indirect Reason
  151.    wt: 3:   Chapter 30 Truth Tables
  152.    wt: 3:   Chapter 23. Notation For Sums
  153.    wt: 3:   Chapter 13. Second Reading Guide
  154.    wt: 3:   Chapter 3 Chains of Reason
  155.    wt: 3:   Chapter 3 Algebra Difficulties
  156.    wt: 3:   Chapter 23 Truth Tables
  157.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  158.    wt: 3:   Chapter 3 What is in chapters 4 to 8
  159.    wt: 3:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  160.    wt: 3:   More Algebra and Slope based Calculus Preview
  161.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  162.    wt: 3:   Systematic Algebra Skill Development Missing Links
  163.    wt: 2:   Skills Chapter 5 Calculus
  164.    wt: 2:   Ramblings Extrinsic numbers theory
  165.    wt: 2:   Ramblings Introduction Algebra Essay
  166.    wt: 2:   3 Euclidean Geometry Leanly
  167.    wt: 2:   Education Reform Inconsistencies
  168.    wt: 2:   the trouble with algebra
  169.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  170.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  171.    wt: 2:   C Energy Power03
  172.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  173.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  174.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  175.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  176.    wt: 2:   13 Addition and Addition Tables
  177.    wt: 2:   3 Preparing for Science Studies
  178.    wt: 2:   Ages 3 plus to 4 plus
  179.    wt: 2:   sign monoticity analysis example 3
  180.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  181.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  182.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  183.    wt: 2:   15 Sign analysis of functions
  184.    wt: 2:   8 Set view of relations and functions
  185.    wt: 2:   A Quadratics Summary
  186.    wt: 2:   10 quadratic exercises
  187.    wt: 2:   9 quadratics physical and further context
  188.    wt: 2:   8 quadratics backward use of various formulas
  189.    wt: 2:   7 quadratic formulla derivation
  190.    wt: 2:   6 quadratics numerical approach
  191.    wt: 2:   5 quadratics completing the square
  192.    wt: 2:   4 quadratics difference of two squares
  193.    wt: 2:   2 quadratics graphing in general
  194.    wt: 2:   1 quadratics graphing exercises
  195.    wt: 2:   Quadratics in 10 steps
  196.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  197.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  198.    wt: 2:   A Global Time and Navigation
  199.    wt: 2:   15 Dot and Cross Product
  200.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  201.    wt: 2:   12 From Applied To Pure Mathematics
  202.    wt: 2:   11 Component Method
  203.    wt: 2:   10 Parallelogram Addition Method
  204.    wt: 2:   9 Head to Tail Coordinate View
  205.    wt: 2:   8 Parallel Vectors
  206.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  207.    wt: 2:   5 Head To Tail Arrow Addition
  208.    wt: 2:   4 Resultant of a Sum of Movements
  209.    wt: 2:   2 Signed Coordinates
  210.    wt: 2:   1 Unsigned Coordinates
  211.    wt: 2:   Vector and Complex Number Applet
  212.    wt: 2:   14 Straight Lines Equations General Case
  213.    wt: 2:   11 Straight Lines Graphing y=mx
  214.    wt: 2:   10 Straight Lines through Origin Equations More
  215.    wt: 2:   9 Straight Lines through Origin Equations
  216.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  217.    wt: 2:   32 seven rows of pascals triangle
  218.    wt: 2:   31 basic secant cosecant cotangent trig identities
  219.    wt: 2:   30 unit circle calculation of six trigonometric functions
  220.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  221.    wt: 2:   13 Trig Formulas for dot and cross Products
  222.    wt: 2:   3 Addition Properties
  223.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  224.    wt: 2:   3 Slope product for perpendicular lines
  225.    wt: 2:   12 Spatial Coordinates
  226.    wt: 2:   11 Triangle Inequality
  227.    wt: 2:   10 Pythagorean plane distance formula
  228.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  229.    wt: 2:   8 Distance Between Points on a Line
  230.    wt: 2:   7 Complex Numbers Appetizer
  231.    wt: 2:   6 Polar Multiplication and Rotation
  232.    wt: 2:   5 Cartesian Addition and Translation
  233.    wt: 2:   4 Polar Coordinates to and from
  234.    wt: 2:   1 Cartesian Coordinates sans signs
  235.    wt: 2:   13 Angle Side Angle Failure
  236.    wt: 2:   3 Isometry of Triangles Congruence
  237.    wt: 2:   23 Distributive Law Two Derivations
  238.    wt: 2:   3 Multiplicative Counting Skills Principles
  239.    wt: 2:   3 Proportionality Examples
  240.    wt: 2:   3 More and Less Than with Unlike Signs
  241.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  242.    wt: 2:   13 Naming Identifying Formulas with Words
  243.    wt: 2:   3 Comparison of Negative Numbers
  244.    wt: 2:   3 Properties of Square Roots with example
  245.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  246.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  247.    wt: 2:   3 Counting with Tables and Trees II
  248.    wt: 2:   3 signed coordinates for maps and planes
  249.    wt: 2:   6 Simplification of Fractions with Units
  250.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  251.    wt: 2:   4 Fractions with Units
  252.    wt: 2:   3 Multiplying Units and Numbers
  253.    wt: 2:   1 Addition and Subtraction with Units
  254.    wt: 2:   3 Unit fraction of a fraction
  255.    wt: 2:   13 Subtraction with Additive Inverse
  256.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  257.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  258.    wt: 2:   20 Uniqueness of Prime Factorization
  259.    wt: 2:   19 video Prime Factorization Unique
  260.    wt: 2:   18 video Count Factors given Prime Factorization
  261.    wt: 2:   17 Identify and Count Factors using Primes
  262.    wt: 2:   16 video Factors of 980 using prime
  263.    wt: 2:   15 video Factors of 20 using Prime Factorization
  264.    wt: 2:   14 video Factors of 24 Take II
  265.    wt: 2:   12 LCD GCD and LCM using Primes
  266.    wt: 2:   11 Efficient Square Rule Use
  267.    wt: 2:   9 video Prime Factorization upto 19 squared
  268.    wt: 2:   8 video Prime Factorization upto 19
  269.    wt: 2:   7 Calculator Usage Notes and Cautions
  270.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  271.    wt: 2:   5 Prime Factorization and a Square Rule
  272.    wt: 2:   4 video Prime Factorization Introduction
  273.    wt: 2:   2 Prime and Composites less than 16
  274.    wt: 2:   1 video how Products are bigger than factor
  275.    wt: 2:   Long Division Backward
  276.    wt: 2:   Division with Counts and Length
  277.    wt: 2:   Long Division forwards and backwards Example 3
  278.    wt: 2:   4 Division with 2 Digit Divsors
  279.    wt: 2:   2 Division with Single Digit Divisors
  280.    wt: 2:   D Decimal Multiplication Methods Derived
  281.    wt: 2:   B Powers of Ten
  282.    wt: 2:   A Elementary Basis for Multiplication Methods
  283.    wt: 2:   6 Multiplication Commutes Order Not Important
  284.    wt: 2:   5 Decimal Fraction Multiplication
  285.    wt: 2:   4 Two and Three Digit Multipliers
  286.    wt: 2:   2 One Digit Multipliers
  287.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  288.    wt: 2:   Video Power Notation in Decimal Expansion
  289.    wt: 2:   Subtraction with J Conversions Example
  290.    wt: 2:   Subtraction Another Video Lesson
  291.    wt: 2:   8 Subtraction with Units of Measure
  292.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  293.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  294.    wt: 2:   014 Counting Days with Calendars
  295.    wt: 2:   013 Travel Time Tables
  296.    wt: 2:   3 Units and Lengths of Time
  297.    wt: 2:   Example 1. Area Between x and x squared
  298.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  299.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  300.    wt: 2:   Area Between Curves Lesson Take 2
  301.    wt: 2:   Area Between Curves Lesson Take 1
  302.    wt: 2:   Summary
  303.    wt: 2:   3 Two Chain Rule Method Exercises
  304.    wt: 2:   11 Limits at infinity Three Examples
  305.    wt: 2:   9 Limits Continuity and Composition
  306.    wt: 2:   8 Four Animated Examples
  307.    wt: 2:   7 Evaluation by immediate or delayed substitution
  308.    wt: 2:   6 Continuity at a point
  309.    wt: 2:   5 Jumps and absence of unlimited error control
  310.    wt: 2:   2 Algebraic codification
  311.    wt: 2:   1 Numerical introduction
  312.    wt: 2:   Appendix C. How to Read
  313.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  314.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  315.    wt: 2:   Chapter 19. Functions and Sets
  316.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  317.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  318.    wt: 2:   Postscript A Three Remarks
  319.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  320.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  321.    wt: 2:   Chapter 3 Algebra Starter Lessons
  322.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  323.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  324.    wt: 2:   Implementation Notes
  325.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  326.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  327.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  328.    wt: 1:   Appendix 2 primary school Arithmetic 01
  329.    wt: 1:   Appendix 1 primary and preschool mathematic
  330.    wt: 1:   K LAMP Musings Science Education
  331.    wt: 1:   J LAMP Introduction Extrinsic Origins
  332.    wt: 1:   I LAMP Introduction Study Habits
  333.    wt: 1:   H LAMP Introduction Instructional Concepts
  334.    wt: 1:   G LAMP Introduction Problem Solving Skills
  335.    wt: 1:   F LAMP Introduction Prerequisites
  336.    wt: 1:   E LAMP Introduction Modern Mathematics
  337.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  338.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  339.    wt: 1:   A Introduction Objectives
  340.    wt: 1:   Skills Chapter 4 Logic
  341.    wt: 1:   Skills Chapter 2 Geometry
  342.    wt: 1:   Skills Chapter 1 Arithmetic
  343.    wt: 1:   Skills Chapter 0 Introduction
  344.    wt: 1:   2 arithmetic with signed numbers
  345.    wt: 1:   1 arithmetic with unsigned numbers
  346.    wt: 1:   permissions for teachers
  347.    wt: 1:   Math Ed if it must be short make it lean effective
  348.    wt: 1:   modern education
  349.    wt: 1:   learning takes time
  350.    wt: 1:   grouping students according to ability
  351.    wt: 1:   what should be learnt and When
  352.    wt: 1:   mathematics in context
  353.    wt: 1:   Postscript 2007 01 10
  354.    wt: 1:   five decades make a difference
  355.    wt: 1:   teaching tutoring algebraic reason
  356.    wt: 1:   05 13 OldSiteEntrancePage
  357.    wt: 1:   Theory of Knowledge
  358.    wt: 1:   Different Kinds of Reasoning in maths
  359.    wt: 1:   chapitre 12 00 les iles et division
  360.    wt: 1:   chapitre 07 01 principle D induction mathematique
  361.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  362.    wt: 1:   chapitre 06 00 Chaines de la raison
  363.    wt: 1:   chapitre 05 00 Deception
  364.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  365.    wt: 1:   chapitre 04 09 Regles accidentelles
  366.    wt: 1:   chapitre 04 08 Limitations et benefices
  367.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  368.    wt: 1:   chapitre 04 06 engagements
  369.    wt: 1:   chapitre 04 05 Implication versus suggestion
  370.    wt: 1:   chapitre 04 04 Parlons de la logique
  371.    wt: 1:   chapitre 04 02 Deuxieme enigme
  372.    wt: 1:   chapitre 04 01 Premiere enigme
  373.    wt: 1:   chapitre 04 00 Les regles d implication
  374.    wt: 1:   chapitre 02 00 La Communication des idees
  375.    wt: 1:   chapitre 01 00 Introduction
  376.    wt: 1:   liens
  377.    wt: 1:   3 Energy Power Heat08
  378.    wt: 1:   E Wire Resistance Calculation03
  379.    wt: 1:   A Wire Resistance Qualitative01
  380.    wt: 1:   3 Like resistors in parallel
  381.    wt: 1:   B Electromotive force conventional current01
  382.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  383.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  384.    wt: 1:   Ages 12 to 14 Skills with take home value
  385.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  386.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  387.    wt: 1:   26 Function definitions done and coming
  388.    wt: 1:   22 Square Root function graphically
  389.    wt: 1:   20 Interchanging coordinates a reflection
  390.    wt: 1:   19 Horizontal line rule and method
  391.    wt: 1:   18 Vertical Line Rule and Method
  392.    wt: 1:   17 Function maxima minima and their location
  393.    wt: 1:   16 Increasing or decreasing on intervals
  394.    wt: 1:   14 Surjections Injections Bijections
  395.    wt: 1:   12 Function Domain Recognition Exercises
  396.    wt: 1:   11 Function Domain Range Source and Targets
  397.    wt: 1:   10 Interval Notation
  398.    wt: 1:   9 Set theory term relation possible origins
  399.    wt: 1:   6 Set Existence Formation and Notation
  400.    wt: 1:   5 Function notation for geometric transformations
  401.    wt: 1:   4 Function notation in and beyond mathematics
  402.    wt: 1:   2 Algebraic use of function notation
  403.    wt: 1:   1 Geometric Introduction of Function Notation
  404.    wt: 1:   Introduction Reading Guide
  405.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  406.    wt: 1:   8 Formulas for Fractional Exponents with Logarithms
  407.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  408.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  409.    wt: 1:   3 Polynomials Multiplication Addition
  410.    wt: 1:   13 cosecant function Definition Graph and Inverse
  411.    wt: 1:   3 Left Inverse of cosine arccos definition
  412.    wt: 1:   3 graphing y=f(x c) plus K
  413.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  414.    wt: 1:   Straight Lines Intersection of
  415.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  416.    wt: 1:   C Straight Lines Slope from Coordinates
  417.    wt: 1:   B Straight Line Slope Scaling Properties More
  418.    wt: 1:   A Straight Line Slope Scaling Properties
  419.    wt: 1:   8 Straight Lines Equation for vertical
  420.    wt: 1:   7 Tangent Function is odd on this domain
  421.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  422.    wt: 1:   5 Tangent Function Graph
  423.    wt: 1:   4 Tangent Function Properties
  424.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  425.    wt: 1:   1 Straight Lines Slope Concept
  426.    wt: 1:   24 tangent Angle Difference Formula
  427.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  428.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  429.    wt: 1:   15 sine cosine Complementary Angle Relations
  430.    wt: 1:   13 Graph of tangent function many periods
  431.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  432.    wt: 1:   3 Trigonometric Ratios sine and cosine
  433.    wt: 1:   1 Angle Measurement with Degrees
  434.    wt: 1:   6 Geometric Diagrams in Class
  435.    wt: 1:   4 Similarity Definition with Coordinate
  436.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  437.    wt: 1:   PS E Multiplication with Polar Coordinates
  438.    wt: 1:   PS D Addition with Cartesian Coordinates
  439.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  440.    wt: 1:   A Measurement with Ruler Proper Use
  441.    wt: 1:   6 Figuring with Maps Not to Scale
  442.    wt: 1:   3 Lengths and Areas on Maps and Plans
  443.    wt: 1:   26 More Less Greater Than Comparison
  444.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  445.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  446.    wt: 1:   22 Multiplication of Signed Numbers
  447.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  448.    wt: 1:   13 Arrows and Vectors in a Plane
  449.    wt: 1:   9 Division with Digits after Decimal Point
  450.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  451.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  452.    wt: 1:   3 Location of Point in Decimal Multiplication
  453.    wt: 1:   1 Fractions with Finite Decimal Expansions
  454.    wt: 1:   3 Inequalities Algebraically
  455.    wt: 1:   3 Linear Equation Literal Solution More
  456.    wt: 1:   3 Product Axioms Two Forms
  457.    wt: 1:   13 Real Number Subtraction
  458.    wt: 1:   3 Fractions
  459.    wt: 1:   3 Geometric Formulas and Function Notation
  460.    wt: 1:   More Exercises
  461.    wt: 1:   Simple Exercises
  462.    wt: 1:   4 GE III Animated Examples
  463.    wt: 1:   2 GE II Comparison
  464.    wt: 1:   1 GE Substitution four examples
  465.    wt: 1:   6 Algebraic Solution Example
  466.    wt: 1:   5 Algebraic Solutions Introduction
  467.    wt: 1:   4 Four Examples Fractional Coefficients
  468.    wt: 1:   2 Three Examples
  469.    wt: 1:   1 Proper Equal Sign Usage
  470.    wt: 1:   Skill Development Notes
  471.    wt: 1:   10 One Example
  472.    wt: 1:   9 Three Examples
  473.    wt: 1:   8 One Example
  474.    wt: 1:   7 Two Examples
  475.    wt: 1:   6 Three Examples
  476.    wt: 1:   5 Three Examples
  477.    wt: 1:   4 Two Examples
  478.    wt: 1:   2 Three Examples
  479.    wt: 1:   Using Letters for Physical Quantities
  480.    wt: 1:   Formula Usage Show Work Format
  481.    wt: 1:   11 Volume of Sphere
  482.    wt: 1:   10 Volume of Pyramid
  483.    wt: 1:   9 Volume of Cone
  484.    wt: 1:   5 Box Volume Formula Example
  485.    wt: 1:   3 Triangle Area Formula Example
  486.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  487.    wt: 1:   9 Sets in Probability and Statistics
  488.    wt: 1:   8 Sets of Numbers
  489.    wt: 1:   7 Cautious or Safe Set Construction
  490.    wt: 1:   6 Power Set Notation
  491.    wt: 1:   5 Product Builder Notation
  492.    wt: 1:   4 Subset Builder Notation
  493.    wt: 1:   2 Venn Diagrams
  494.    wt: 1:   1 Finite Sets
  495.    wt: 1:   3 Adding Words To Arithmetic
  496.    wt: 1:   2 More and Less Than with Unlike Signs
  497.    wt: 1:   5 Square Roots with primes more still
  498.    wt: 1:   4 Square Roots with primes more
  499.    wt: 1:   2 Square Roots with Prime
  500.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  501.    wt: 1:   13 GCD from given Prime Factorization
  502.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  503.    wt: 1:   2 Least Common Multiple LCM intro via list method
  504.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  505.    wt: 1:   4 Counting with Trees Product Rule Take I
  506.    wt: 1:   2 Counting with Tables and Trees I
  507.    wt: 1:   11 What are real lengths and numbers
  508.    wt: 1:   10 dividing signed numbers
  509.    wt: 1:   9 subtracting signed numbers
  510.    wt: 1:   8 multiplying signed numbers
  511.    wt: 1:   7 negative and additive inverse
  512.    wt: 1:   6 adding signed numbers
  513.    wt: 1:   5 lengths and signs of numbers
  514.    wt: 1:   4 signed coordinates for regions in space
  515.    wt: 1:   2 signed and unsigned numbers as coordinates
  516.    wt: 1:   7 Converting or Changing Units
  517.    wt: 1:   2 Equality and Units
  518.    wt: 1:   21 Working With Signs
  519.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  520.    wt: 1:   14 Adding and Subtracting with Like Denominators
  521.    wt: 1:   13 Fraction Comparison Algebraic View
  522.    wt: 1:   A Associative Law Theorectical Note
  523.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  524.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  525.    wt: 1:   26 Divisibility by 2 3 5 Example
  526.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  527.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  528.    wt: 1:   23 Remainder Arithmetic Modulo 2
  529.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  530.    wt: 1:   21 Remainder Arithmetic Modulo 3
  531.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  532.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  533.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  534.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  535.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  536.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  537.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  538.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  539.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  540.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  541.    wt: 1:   Long Division Backwards more
  542.    wt: 1:   Long Division forwards and backwards Example 2
  543.    wt: 1:   Long Division forwards and backwards Example 1
  544.    wt: 1:   12 Why Long Division Works Take III
  545.    wt: 1:   11 Another Single Digit Divisor Example
  546.    wt: 1:   10 Division by Five Long and Short Ways
  547.    wt: 1:   9 Why Long Division Works Take II
  548.    wt: 1:   8 Correcting the Mistake
  549.    wt: 1:   7 Long Divison Mistake Catching
  550.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  551.    wt: 1:   5 Long Division Include Zeroes or not
  552.    wt: 1:   1 Divsion Physical Examples
  553.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  554.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  555.    wt: 1:   9 22 Minute Subtraction Review Video
  556.    wt: 1:   5 A Tip for Efficent Subtraction
  557.    wt: 1:   2 Subtraction Easy Case Examples
  558.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  559.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  560.    wt: 1:   8 What skills and work habits to require
  561.    wt: 1:   7 Adding decimal fractions using decimal point
  562.    wt: 1:   6. Counting and adding units and mixed units
  563.    wt: 1:   5. How to add decimals C. Examples
  564.    wt: 1:   2 Decimal Counting Practices
  565.    wt: 1:   1. Explaining Addition Table
  566.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  567.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  568.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  569.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  570.    wt: 1:   Expression Evaluation how to show work
  571.    wt: 1:   016 Numbering Occidental Calendar Days
  572.    wt: 1:   015 School and work day counting tables
  573.    wt: 1:   012 Division of Time Intervals by Time Intervals
  574.    wt: 1:   011 Division of Time Intervals By Numbers
  575.    wt: 1:   010 Repeated Addition of Time Intervals
  576.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  577.    wt: 1:   8 Addition of Time Intervals via subtotaling
  578.    wt: 1:   7 Addition of Time Intervals
  579.    wt: 1:   6 How long is a million seconds
  580.    wt: 1:   5 Conversion Arithmetic
  581.    wt: 1:   4 Mixing and Changing Units of Time
  582.    wt: 1:   2 Time and Date Matters in School
  583.    wt: 1:   1 Intro of Kids To Time Date Skills
  584.    wt: 1:   5 Area Under Curve Exercise
  585.    wt: 1:   4 Definite Integrals Evaluation Exercises
  586.    wt: 1:   2 Indefinite Integrals Exercises
  587.    wt: 1:   1 Chain Rule in Reverse Integration Method
  588.    wt: 1:   Postscript More on Better Performance
  589.    wt: 1:   Postscript For Better Performance
  590.    wt: 1:   Appendix E. How To Study Mathematics and Why
  591.    wt: 1:   Appendix D. What to do in School and Why
  592.    wt: 1:   Appendix B. How To Learn
  593.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  594.    wt: 1:   Chapter 28 Occurrence Tables
  595.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  596.    wt: 1:   Chapter 25. Mathematical Induction Examples
  597.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  598.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  599.    wt: 1:   Chapter 21. Third Reading Guide
  600.    wt: 1:   Chapter 20. Degrees and Radians
  601.    wt: 1:   Chapter 18. Rules for Algebra
  602.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  603.    wt: 1:   Chapter 16. Painless Theorem Proving
  604.    wt: 1:   Chapter 15. Solving Linear Equations
  605.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  606.    wt: 1:   Chapter 12. Shorthand Usage Guide
  607.    wt: 1:   Chapter 11. Why Shorthand
  608.    wt: 1:   Chapter 10 Describing and Changing Calculations
  609.    wt: 1:   Postscript What is a Variable
  610.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  611.    wt: 1:   Chapter 8 Three Skills For Algebra
  612.    wt: 1:   Solutions For Arithmetic Exercises
  613.    wt: 1:   Chapter 6 Change of Language
  614.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  615.    wt: 1:   Chapter 4 Longer Chains of Reason
  616.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  617.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  618.    wt: 1:   Foreword
  619.    wt: 1:   Annotated Links to Material Elsehwere
  620.    wt: 1:   Postscript B Mathematics Education References
  621.    wt: 1:   Chapter 12 Four Phases
  622.    wt: 1:   Chapter 11 Elementary Instruction
  623.    wt: 1:   Chapter 10 Transition
  624.    wt: 1:   Chapter 9 The Two Ends
  625.    wt: 1:   Chapter 8 Modern Instruction
  626.    wt: 1:   Chapter 7 Two Treatments of Geometry
  627.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  628.    wt: 1:   Chapter 5 Four References
  629.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  630.    wt: 1:   Chapter 2 For and Against Mathematics
  631.    wt: 1:   Chapter 1 Introduction
  632.    wt: 1:   Foreword
  633.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  634.    wt: 1:   Postscript C Consistency as a Tool for Reason
  635.    wt: 1:   Postscript B More on Story Telling and Reason
  636.    wt: 1:   Postscript A Story Telling
  637.    wt: 1:   Chapter 24 Direct and Indirect Reason
  638.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  639.    wt: 1:   Chapter 21 Occurrence Tables
  640.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  641.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  642.    wt: 1:   Chapter 18 Sense and Knowledge
  643.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  644.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  645.    wt: 1:   Chapter 15 Objective Processes
  646.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  647.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  648.    wt: 1:   Chapter 11 Accidental Patterns
  649.    wt: 1:   Chapter 10 Responsibility
  650.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  651.    wt: 1:   Chapter 8 Change of Language
  652.    wt: 1:   Chapter 7 Longer Chains of Reason
  653.    wt: 1:   Chapter 6 Chains of Reason
  654.    wt: 1:   Chapter 5 Deception
  655.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  656.    wt: 1:   Chapter 2 Skill Development
  657.    wt: 1:   Chapter 1 Introduction
  658.    wt: 1:   Three Remarks
  659.    wt: 1:   Foreword
  660.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  661.    wt: 1:   M Words to extend arithmetic
  662.    wt: 1:   L Skills with take home value
  663.    wt: 1:   D. Check work a must with a caution
  664.    wt: 1:   C. Domino effect of being careful
  665.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  666.    wt: 1:   Helping the Blind in Logic and Mathematics
  667.    wt: 1:   Mathematics Education References
  668.    wt: 1:   Mathematics Education References
  669.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  670.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  671.    wt: 1:   Which Way To Go

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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