Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
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Logic mastery strengthens comprehension and so improves home, work & study abilities .
 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 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
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Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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  1.    wt: 8:   2 Natural Logarithms Exponentials Powers Roots/
  2.    wt: 3:   3 Quadratics Geometrically/
  3.    wt: 3:   10 Examples of Algebraic Reasoning/
  4.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  5.    wt: 3:   Step 2 Algebraic solutions for one unknown/
  6.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  7.    wt: 2:   4 Functions/
  8.    wt: 2:   1 Five Polynomial Operations/
  9.    wt: 2:   More Algebra/
  10.    wt: 2:   3 Cartesian and Polar Coordinates/
  11.    wt: 2:   A Origins of Counting and Figuring Methods/
  12.    wt: 2:   8 Unifying Theme For Algebra/
  13.    wt: 2:   Step 4 Gaussian Elimination/
  14.    wt: 2:   Step 1 Stick diagram and fractions/
  15.    wt: 2:   3 Solving Linear Equations/
  16.    wt: 2:   2 Formula Forward Use Evaluation/
  17.    wt: 2:   3 Prime Factorization Skills/
  18.    wt: 1:   Direct Current Electric Circuits/
  19.    wt: 1:   B Real Numbers Extrinsic Development/
  20.    wt: 1:   9 Proportionality Backwards and Forwards/
  21.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  22.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  23.    wt: 1:   5 Real Numbers/
  24.    wt: 1:   4 Computation Rules and Function Notation/
  25.    wt: 1:   1 Working With Sets/
  26.    wt: 1:   Algebra Starter Lessons/
  27.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  28.    wt: 1:   11 Squares and Square Roots/
  29.    wt: 1:   C Decimal Multiplication Methods/
  30.    wt: 1:   4 Lessons on Using Derivatives/
  31.    wt: 1:   38 Lessons on Calculating Derivatives/
  32.    wt: 1:   Volume 2 Three Skills For Algebra/
  33.    wt: 1:   Volume 1 Elements of Reason/
  34.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

247 matches:

  1.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  2.    wt: 3:   2 Algebraic use of function notation
  3.    wt: 3:   8 quadratics backward use of various formulas
  4.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  5.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  6.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  7.    wt: 3:   27 Logarithmic use of products of sines and cosines
  8.    wt: 3:   21 Logarithms Powers and Exponentials
  9.    wt: 3:   38 Formulas and derivatives for powers and roots
  10.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  11.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  12.    wt: 2:   5 logarithms and exponentials etc
  13.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  14.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  15.    wt: 2:   4 Resultant of a Sum of Movements
  16.    wt: 2:   26 Formulas for products of sines and cosines
  17.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  18.    wt: 2:   20 N th Roots of Complex Numbers
  19.    wt: 2:   19 N th Roots of Unity
  20.    wt: 2:   18 Sixth Roots of Unity
  21.    wt: 2:   17 Cube Roots of unity
  22.    wt: 2:   5 An Easy Proof of the Distributive Law
  23.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  24.    wt: 2:   5 Algebraic View of Slopes
  25.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  26.    wt: 2:   21 Addition of Multiples of a Single Vector
  27.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  28.    wt: 2:   4 A Brief Story of numbers and algebra
  29.    wt: 2:   3 Properties of Square Roots with example
  30.    wt: 2:   C Counting Areas with Powers of Ten
  31.    wt: 2:   B Powers of Ten
  32.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  33.    wt: 2:   Quick history of numbers and algebra
  34.    wt: 2:   17 Derivatives of quotients of sine and cosine
  35.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  36.    wt: 2:   E2 Algebraic Properties of Limits
  37.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  38.    wt: 2:   Chapter 31 Direct and Indirect Reason
  39.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  40.    wt: 2:   Chapter 24 Direct and Indirect Reason
  41.    wt: 1:   Ramblings Introduction Algebra Essay
  42.    wt: 1:   Skills Chapter 3 Algebra
  43.    wt: 1:   4 algebra
  44.    wt: 1:   Mathematics Education Professors
  45.    wt: 1:   talk the algebra talk
  46.    wt: 1:   geometric implications for algebra
  47.    wt: 1:   teaching tutoring algebraic reason
  48.    wt: 1:   Lessening Algebra Difficulties
  49.    wt: 1:   the trouble with algebra
  50.    wt: 1:   Theory of Knowledge
  51.    wt: 1:   Different Kinds of Reasoning in maths
  52.    wt: 1:   three kinds of reason in mathematics
  53.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  54.    wt: 1:   C Energy Power03
  55.    wt: 1:   E Wire Resistance Calculation03
  56.    wt: 1:   E Kirchoffs Second Law
  57.    wt: 1:   D Kirchoff First Law
  58.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  59.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  60.    wt: 1:   8 The Effect of Negative Remarks
  61.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  62.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  63.    wt: 1:   15 Sign analysis of functions
  64.    wt: 1:   8 Set view of relations and functions
  65.    wt: 1:   1 Geometric Introduction of Function Notation
  66.    wt: 1:   4 quadratics difference of two squares
  67.    wt: 1:   5 Natural Logarithm Calculator Exercises
  68.    wt: 1:   Rewriting algebraic substitution as function substitutions
  69.    wt: 1:   11 arctan left inverse of tangent Graph
  70.    wt: 1:   10 arctan left inverse of tangent Definition
  71.    wt: 1:   8 arcsin left inverse of sine Graph
  72.    wt: 1:   7 arcsin left inverse of sine Definition
  73.    wt: 1:   6 Graph of arccos function
  74.    wt: 1:   3 Left Inverse of cosine arccos definition
  75.    wt: 1:   8 Radian Measures of Common Angles
  76.    wt: 1:   2 Radian Measure Numerical Value of one degree
  77.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  78.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  79.    wt: 1:   Straight Lines Intersection of
  80.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  81.    wt: 1:   17 tangent function angle sum formulas
  82.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  83.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  84.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  85.    wt: 1:   32 seven rows of pascals triangle
  86.    wt: 1:   30 unit circle calculation of six trigonometric functions
  87.    wt: 1:   28 Expressing products of sines cosines as sums
  88.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  89.    wt: 1:   21 sine and cosine Half Angle Formulas
  90.    wt: 1:   20 sine and cosine Double Angle Formulas
  91.    wt: 1:   18 sum of sinusoidal waves as a single wave
  92.    wt: 1:   17F Law of cosines
  93.    wt: 1:   17E Trig Formulas for dot and cross Products
  94.    wt: 1:   17D cis formulas for sine cosines and tangent
  95.    wt: 1:   17C sine and cosine double triple angle formulas
  96.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  97.    wt: 1:   13 Graph of tangent function many periods
  98.    wt: 1:   12 Graph of tangent function for one period
  99.    wt: 1:   10 Graphs of sines and cosines many periods
  100.    wt: 1:   9 Graphs of sine and cosine over one period
  101.    wt: 1:   8 period of tangent function
  102.    wt: 1:   7 period of sine and cosine
  103.    wt: 1:   Unit Circle Development of Trigonometry
  104.    wt: 1:   14 Law of cosines
  105.    wt: 1:   13 Trig Formulas for dot and cross Products
  106.    wt: 1:   12 cis formulas for sine cosines and tangent
  107.    wt: 1:   11 sine and cosine double triple angle formulas
  108.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  109.    wt: 1:   8 Unit Circle Development of Trigonometry
  110.    wt: 1:   6 Field Properties of Complex Number
  111.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  112.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  113.    wt: 1:   9 Similarity of Triangles Usual Criteria
  114.    wt: 1:   8 Similarity of Triangles and Polygons
  115.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  116.    wt: 1:   1 Early Concept of Like or Similar Shapes
  117.    wt: 1:   10 Midpoint of [a b] and [b a]
  118.    wt: 1:   6 Intersection of lines by solving linear systems
  119.    wt: 1:   1 Numerical view of lines and their equations
  120.    wt: 1:   13 Pythagorean spatial distance formulas
  121.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  122.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  123.    wt: 1:   17 Right Bisectors of Triangle Sides
  124.    wt: 1:   9 Construction of a right bisector
  125.    wt: 1:   3 Isometry of Triangles Congruence
  126.    wt: 1:   A Measurement with Ruler Proper Use
  127.    wt: 1:   2 Measuring Area Directly
  128.    wt: 1:   22 Multiplication of Signed Numbers
  129.    wt: 1:   19 Signed Multiples of Vectors
  130.    wt: 1:   8 Division and Mulplication of Compound Fractions
  131.    wt: 1:   4 Location of Point in Decimal Addition
  132.    wt: 1:   3 Location of Point in Decimal Multiplication
  133.    wt: 1:   1 The Counting Origins of Numbers
  134.    wt: 1:   5 Areas of Rectangles Revisited
  135.    wt: 1:   3 Inequalities Algebraically
  136.    wt: 1:   2 Algebraic View
  137.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  138.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  139.    wt: 1:   5 Equality in Algebra
  140.    wt: 1:   4 Comparison of Negative Numbers
  141.    wt: 1:   1 Whole and Natural Numbers
  142.    wt: 1:   3 Geometric Formulas and Function Notation
  143.    wt: 1:   1 Formulas Dependence and Function Notation
  144.    wt: 1:   6 Algebraic Solution Example
  145.    wt: 1:   5 Algebraic Solutions Introduction
  146.    wt: 1:   13 Naming Identifying Formulas with Words
  147.    wt: 1:   11 Volume of Sphere
  148.    wt: 1:   10 Volume of Pyramid
  149.    wt: 1:   9 Volume of Cone
  150.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  151.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  152.    wt: 1:   8 Sets of Numbers
  153.    wt: 1:   6 Three Notions of What is a Variable
  154.    wt: 1:   1 Three Skills For Algebra
  155.    wt: 1:   3 Comparison of Negative Numbers
  156.    wt: 1:   5 Square Roots with primes more still
  157.    wt: 1:   4 Square Roots with primes more
  158.    wt: 1:   2 Square Roots with Prime
  159.    wt: 1:   1 Squares and Square Roots Introduction
  160.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  161.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  162.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  163.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  164.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  165.    wt: 1:   4 LCM of 8 and 10 via Prime
  166.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  167.    wt: 1:   5 lengths and signs of numbers
  168.    wt: 1:   6 Simplification of Fractions with Units
  169.    wt: 1:   13 Fraction Comparison Algebraic View
  170.    wt: 1:   11 Simplification an Algebraic View
  171.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  172.    wt: 1:   6 Multiplication Algebraically Take II
  173.    wt: 1:   3 Unit fraction of a fraction
  174.    wt: 1:   11 Adding Integers Formulas and Examples
  175.    wt: 1:   10 Integer Multiplication Formulas
  176.    wt: 1:   6 Multiplication by Natural Numbers
  177.    wt: 1:   4 Adding Movements wiht opposite directions
  178.    wt: 1:   3 Adding Movements with same direction
  179.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  180.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  181.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  182.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  183.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  184.    wt: 1:   20 Uniqueness of Prime Factorization
  185.    wt: 1:   16 video Factors of 980 using prime
  186.    wt: 1:   15 video Factors of 20 using Prime Factorization
  187.    wt: 1:   14 video Factors of 24 Take II
  188.    wt: 1:   13 video Factors of 24 using prime
  189.    wt: 1:   11 Efficient Square Rule Use
  190.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  191.    wt: 1:   8 Subtraction with Units of Measure
  192.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  193.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  194.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  195.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  196.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  197.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  198.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  199.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  200.    wt: 1:   012 Division of Time Intervals by Time Intervals
  201.    wt: 1:   011 Division of Time Intervals By Numbers
  202.    wt: 1:   010 Repeated Addition of Time Intervals
  203.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  204.    wt: 1:   8 Addition of Time Intervals via subtotaling
  205.    wt: 1:   7 Addition of Time Intervals
  206.    wt: 1:   4 Mixing and Changing Units of Time
  207.    wt: 1:   3 Units and Lengths of Time
  208.    wt: 1:   1 Intro of Kids To Time Date Skills
  209.    wt: 1:   Example 2 volume of a cone
  210.    wt: 1:   Example 1 volume of a pyramid
  211.    wt: 1:   Volume of Solid by Cross Sections Lesson
  212.    wt: 1:   Example 4 with x function of y
  213.    wt: 1:   34 Derivative of exponential function
  214.    wt: 1:   31 Derivatives of inverse functions
  215.    wt: 1:   30Chain Rule A Proof
  216.    wt: 1:   28 Chain Rule Preparation for a Proof
  217.    wt: 1:   21 Chain Rule for powers
  218.    wt: 1:   8 Differentiation of polynomials
  219.    wt: 1:   5 Jumps and absence of unlimited error control
  220.    wt: 1:   2 Algebraic codification
  221.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  222.    wt: 1:   G.3 Constant Difference Theorem Proof
  223.    wt: 1:   D2 Limits of Monotone Sequences
  224.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  225.    wt: 1:   Chapter 18. Rules for Algebra
  226.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  227.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  228.    wt: 1:   Chapter 8 Three Skills For Algebra
  229.    wt: 1:   Chapter 6 Change of Language
  230.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  231.    wt: 1:   Chapter 4 Longer Chains of Reason
  232.    wt: 1:   Chapter 3 Chains of Reason
  233.    wt: 1:   Chapter 7 Two Treatments of Geometry
  234.    wt: 1:   Chapter 3 Algebra Difficulties
  235.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  236.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  237.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  238.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  239.    wt: 1:   Chapter 8 Change of Language
  240.    wt: 1:   Chapter 7 Longer Chains of Reason
  241.    wt: 1:   Chapter 6 Chains of Reason
  242.    wt: 1:   S Adding words to algebra
  243.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  244.    wt: 1:   C. Domino effect of being careful
  245.    wt: 1:   B. Domino effect of errors
  246.    wt: 1:   More Algebra and Slope based Calculus Preview
  247.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

602 matches:

  1.    wt: 9:   5 Natural Logarithm Calculator Exercises
  2.    wt: 8:   11 Growth and Decay in Biology
  3.    wt: 8:   10 Exponential Growth and Decay Models
  4.    wt: 8:   2 Square Root Simplification a prequel
  5.    wt: 8:   1 Calculator Starter Exercises
  6.    wt: 6:   8 quadratics backward use of various formulas
  7.    wt: 5:   2 Algebraic use of function notation
  8.    wt: 5:   3 Inequalities Algebraically
  9.    wt: 5:   3 Solving triangular system example
  10.    wt: 5:   3 Four Examples
  11.    wt: 5:   38 Formulas and derivatives for powers and roots
  12.    wt: 4:   3 Formula or function graphing exercise
  13.    wt: 4:   4 quadratics difference of two squares
  14.    wt: 4:   3 quadratics factoring by inspection
  15.    wt: 4:   3 Rectangular Coordinates Review
  16.    wt: 4:   3 Multiplicative Counting Skills Principles
  17.    wt: 4:   5 Areas of Rectangles Revisited
  18.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  19.    wt: 4:   3 GE III Equation Addition and Multiplication
  20.    wt: 4:   6 Algebraic Solution Example
  21.    wt: 4:   5 Algebraic Solutions Introduction
  22.    wt: 4:   3 Two Examples
  23.    wt: 4:   3 Comparison of Negative Numbers
  24.    wt: 4:   3 video Primes and Composites from 9 times table
  25.    wt: 4:   Systematic Algebra Skill Development Missing Links
  26.    wt: 3:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  27.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  28.    wt: 3:   15 Sign analysis of functions
  29.    wt: 3:   8 Set view of relations and functions
  30.    wt: 3:   1 Geometric Introduction of Function Notation
  31.    wt: 3:   A Quadratics Summary
  32.    wt: 3:   10 quadratic exercises
  33.    wt: 3:   9 quadratics physical and further context
  34.    wt: 3:   7 quadratic formulla derivation
  35.    wt: 3:   6 quadratics numerical approach
  36.    wt: 3:   5 quadratics completing the square
  37.    wt: 3:   2 quadratics graphing in general
  38.    wt: 3:   1 quadratics graphing exercises
  39.    wt: 3:   Quadratics in 10 steps
  40.    wt: 3:   3 Polynomials Multiplication Addition
  41.    wt: 3:   Rewriting algebraic substitution as function substitutions
  42.    wt: 3:   27 Logarithmic use of products of sines and cosines
  43.    wt: 3:   21 Logarithms Powers and Exponentials
  44.    wt: 3:   13 Pythagorean spatial distance formulas
  45.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
  46.    wt: 3:   3 Isometry of Triangles Congruence
  47.    wt: 3:   22 Multiplication of Signed Numbers
  48.    wt: 3:   21 Addition of Multiples of a Single Vector
  49.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  50.    wt: 3:   3 Location of Point in Decimal Multiplication
  51.    wt: 3:   1 The Counting Origins of Numbers
  52.    wt: 3:   4 Fraction Operations Axiomatic Development
  53.    wt: 3:   2 Fraction Operations Physical Development
  54.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  55.    wt: 3:   3 Proportionality Examples
  56.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  57.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  58.    wt: 3:   3 Linear Equation Literal Solution More
  59.    wt: 3:   3 Geometric Formulas and Function Notation
  60.    wt: 3:   4 Solving a triangular system exercise
  61.    wt: 3:   2 Essentially one exercises three with solution
  62.    wt: 3:   1 Essentially One Unknown
  63.    wt: 3:   4 Four Examples Fractional Coefficients
  64.    wt: 3:   2 Three Examples
  65.    wt: 3:   1 Proper Equal Sign Usage
  66.    wt: 3:   13 Naming Identifying Formulas with Words
  67.    wt: 3:   11 Volume of Sphere
  68.    wt: 3:   10 Volume of Pyramid
  69.    wt: 3:   9 Volume of Cone
  70.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  71.    wt: 3:   3 Triangle Area Formula Example
  72.    wt: 3:   4 A Brief Story of numbers and algebra
  73.    wt: 3:   3 Properties of Square Roots with example
  74.    wt: 3:   3 Adding Movements with same direction
  75.    wt: 3:   20 Uniqueness of Prime Factorization
  76.    wt: 3:   16 video Factors of 980 using prime
  77.    wt: 3:   15 video Factors of 20 using Prime Factorization
  78.    wt: 3:   14 video Factors of 24 Take II
  79.    wt: 3:   13 video Factors of 24 using prime
  80.    wt: 3:   11 Efficient Square Rule Use
  81.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  82.    wt: 3:   C Counting Areas with Powers of Ten
  83.    wt: 3:   B Powers of Ten
  84.    wt: 3:   3 More One Digit Multipliers
  85.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  86.    wt: 3:   34 Derivative of exponential function
  87.    wt: 3:   31 Derivatives of inverse functions
  88.    wt: 3:   30Chain Rule A Proof
  89.    wt: 3:   17 Derivatives of quotients of sine and cosine
  90.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  91.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  92.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  93.    wt: 3:   Chapter 31 Direct and Indirect Reason
  94.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  95.    wt: 3:   Chapter 3 Chains of Reason
  96.    wt: 3:   More Algebra and Slope based Calculus Preview
  97.    wt: 2:   5 logarithms and exponentials etc
  98.    wt: 2:   teaching tutoring algebraic reason
  99.    wt: 2:   Different Kinds of Reasoning in maths
  100.    wt: 2:   3 Energy Power Heat08
  101.    wt: 2:   C Energy Power03
  102.    wt: 2:   E Wire Resistance Calculation03
  103.    wt: 2:   3 Like resistors in parallel
  104.    wt: 2:   E Kirchoffs Second Law
  105.    wt: 2:   D Kirchoff First Law
  106.    wt: 2:   B Electromotive force conventional current01
  107.    wt: 2:   3 Preparing for Science Studies
  108.    wt: 2:   sign monoticity analysis example 4
  109.    wt: 2:   sign monoticity analysis example 3
  110.    wt: 2:   sign monoticity analysis example 2
  111.    wt: 2:   sign monoticity analysis example 1
  112.    wt: 2:   26 Function definitions done and coming
  113.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  114.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  115.    wt: 2:   23 Inverse Functions
  116.    wt: 2:   22 Square Root function graphically
  117.    wt: 2:   20 Interchanging coordinates a reflection
  118.    wt: 2:   19 Horizontal line rule and method
  119.    wt: 2:   18 Vertical Line Rule and Method
  120.    wt: 2:   17 Function maxima minima and their location
  121.    wt: 2:   16 Increasing or decreasing on intervals
  122.    wt: 2:   14 Surjections Injections Bijections
  123.    wt: 2:   13 From one to one to many to one
  124.    wt: 2:   12 Function Domain Recognition Exercises
  125.    wt: 2:   11 Function Domain Range Source and Targets
  126.    wt: 2:   10 Interval Notation
  127.    wt: 2:   9 Set theory term relation possible origins
  128.    wt: 2:   7 Functions with finite domains
  129.    wt: 2:   6 Set Existence Formation and Notation
  130.    wt: 2:   5 Function notation for geometric transformations
  131.    wt: 2:   4 Function notation in and beyond mathematics
  132.    wt: 2:   Introduction Reading Guide
  133.    wt: 2:   8 Notes for instructors or tutors
  134.    wt: 2:   7 Links Lessons Elsewhere
  135.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  136.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  137.    wt: 2:   4 Polynomials Long division linear divisor
  138.    wt: 2:   2 Column Multiplication Method
  139.    wt: 2:   1 Polynomials Distributive Law
  140.    wt: 2:   4 Resultant of a Sum of Movements
  141.    wt: 2:   3 Navigation with Arrows or Vectors
  142.    wt: 2:   Straight Lines Intersection of
  143.    wt: 2:   26 Formulas for products of sines and cosines
  144.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  145.    wt: 2:   20 N th Roots of Complex Numbers
  146.    wt: 2:   19 N th Roots of Unity
  147.    wt: 2:   18 Sixth Roots of Unity
  148.    wt: 2:   17 Cube Roots of unity
  149.    wt: 2:   5 An Easy Proof of the Distributive Law
  150.    wt: 2:   3 Addition Properties
  151.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  152.    wt: 2:   5 Algebraic View of Slopes
  153.    wt: 2:   3 Slope product for perpendicular lines
  154.    wt: 2:   12 Spatial Coordinates
  155.    wt: 2:   11 Triangle Inequality
  156.    wt: 2:   10 Pythagorean plane distance formula
  157.    wt: 2:   8 Distance Between Points on a Line
  158.    wt: 2:   7 Complex Numbers Appetizer
  159.    wt: 2:   6 Polar Multiplication and Rotation
  160.    wt: 2:   5 Cartesian Addition and Translation
  161.    wt: 2:   4 Polar Coordinates to and from
  162.    wt: 2:   2 Cartesian Coordinates with signs
  163.    wt: 2:   1 Cartesian Coordinates sans signs
  164.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  165.    wt: 2:   26 More Less Greater Than Comparison
  166.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  167.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  168.    wt: 2:   23 Distributive Law Two Derivations
  169.    wt: 2:   19 Signed Multiples of Vectors
  170.    wt: 2:   8 Division and Mulplication of Compound Fractions
  171.    wt: 2:   4 Location of Point in Decimal Addition
  172.    wt: 2:   E Long Division Methods more
  173.    wt: 2:   D Long Division Methods
  174.    wt: 2:   C Three Decimal Subtraction Methods
  175.    wt: 2:   B Decimal Comparison and Subtraction
  176.    wt: 2:   A Decimal Addition Columm Methods
  177.    wt: 2:   8 Column Multiplication Methods in General
  178.    wt: 2:   7 Decimals Multiplication Methods Examples
  179.    wt: 2:   6 Column Methods for Decimal Multiplication
  180.    wt: 2:   5 Distributive Law for Whole Numbers
  181.    wt: 2:   4 Commutative Law Groups Counting Form
  182.    wt: 2:   2 Combing Counts Addition Skills and Principles
  183.    wt: 2:   2 Algebraic View
  184.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  185.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  186.    wt: 2:   6 Compound Interest Forward and Backwards
  187.    wt: 2:   5 Triangle Area Formula Backwards
  188.    wt: 2:   2 Linear Equation Literal Solution
  189.    wt: 2:   1 Changing Calculations
  190.    wt: 2:   5 Equality in Algebra
  191.    wt: 2:   3 Product Axioms Two Forms
  192.    wt: 2:   4 Comparison of Negative Numbers
  193.    wt: 2:   3 More and Less Than with Unlike Signs
  194.    wt: 2:   3 Fractions
  195.    wt: 2:   1 Whole and Natural Numbers
  196.    wt: 2:   1 Formulas Dependence and Function Notation
  197.    wt: 2:   More Exercises
  198.    wt: 2:   Simple Exercises
  199.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  200.    wt: 2:   4 GE III Animated Examples
  201.    wt: 2:   2 GE II Comparison
  202.    wt: 2:   1 GE Substitution four examples
  203.    wt: 2:   Skill Development Notes
  204.    wt: 2:   10 One Example
  205.    wt: 2:   9 Three Examples
  206.    wt: 2:   8 One Example
  207.    wt: 2:   7 Two Examples
  208.    wt: 2:   6 Three Examples
  209.    wt: 2:   5 Three Examples
  210.    wt: 2:   4 Two Examples
  211.    wt: 2:   2 Three Examples
  212.    wt: 2:   Using Letters for Physical Quantities
  213.    wt: 2:   Formula Usage Show Work Format
  214.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  215.    wt: 2:   8 Compound Interest Formula Evaluation
  216.    wt: 2:   7 Compound Interest Formula Introduction
  217.    wt: 2:   5 Box Volume Formula Example
  218.    wt: 2:   4 Circle Area Formula Example
  219.    wt: 2:   2 Another Rectangle Area Formula Example
  220.    wt: 2:   1 Written work formats for developing and showing skill
  221.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  222.    wt: 2:   8 Sets of Numbers
  223.    wt: 2:   3 Counting with Sets etc
  224.    wt: 2:   6 Three Notions of What is a Variable
  225.    wt: 2:   3 Adding Words To Arithmetic
  226.    wt: 2:   1 Three Skills For Algebra
  227.    wt: 2:   5 Square Roots with primes more still
  228.    wt: 2:   4 Square Roots with primes more
  229.    wt: 2:   2 Square Roots with Prime
  230.    wt: 2:   1 Squares and Square Roots Introduction
  231.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  232.    wt: 2:   3 Unit fraction of a fraction
  233.    wt: 2:   19 video Prime Factorization Unique
  234.    wt: 2:   18 video Count Factors given Prime Factorization
  235.    wt: 2:   17 Identify and Count Factors using Primes
  236.    wt: 2:   12 LCD GCD and LCM using Primes
  237.    wt: 2:   10 video Prime Factorization upto 23 squared
  238.    wt: 2:   9 video Prime Factorization upto 19 squared
  239.    wt: 2:   8 video Prime Factorization upto 19
  240.    wt: 2:   7 Calculator Usage Notes and Cautions
  241.    wt: 2:   5 Prime Factorization and a Square Rule
  242.    wt: 2:   4 video Prime Factorization Introduction
  243.    wt: 2:   2 Prime and Composites less than 16
  244.    wt: 2:   1 video how Products are bigger than factor
  245.    wt: 2:   3 Division Single Digit Divisor Example
  246.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  247.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  248.    wt: 2:   Quick history of numbers and algebra
  249.    wt: 2:   3 Units and Lengths of Time
  250.    wt: 2:   Example 4 with x function of y
  251.    wt: 2:   3 Second derivative test
  252.    wt: 2:   2 Second derivative test prequel
  253.    wt: 2:   36 Cube root derivative animated
  254.    wt: 2:   33 Chain Rule Real Player video examples
  255.    wt: 2:   28 Chain Rule Preparation for a Proof
  256.    wt: 2:   21 Chain Rule for powers
  257.    wt: 2:   12 Quotient rule examples
  258.    wt: 2:   8 Differentiation of polynomials
  259.    wt: 2:   3 Motivation for Limit Definition Take 2
  260.    wt: 2:   E2 Algebraic Properties of Limits
  261.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  262.    wt: 2:   Chapter 18. Rules for Algebra
  263.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  264.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  265.    wt: 2:   Chapter 8 Three Skills For Algebra
  266.    wt: 2:   Chapter 6 Change of Language
  267.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  268.    wt: 2:   Chapter 4 Longer Chains of Reason
  269.    wt: 2:   Chapter 3 Algebra Difficulties
  270.    wt: 2:   Chapter 24 Direct and Indirect Reason
  271.    wt: 2:   C. Domino effect of being careful
  272.    wt: 2:   Implementation Notes
  273.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  274.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  275.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  276.    wt: 1:   Ramblings Introduction Algebra Essay
  277.    wt: 1:   Skills Chapter 3 Algebra
  278.    wt: 1:   4 algebra
  279.    wt: 1:   3 Euclidean Geometry Leanly
  280.    wt: 1:   permissions for teachers
  281.    wt: 1:   Math Ed if it must be short make it lean effective
  282.    wt: 1:   Mathematics Education Professors
  283.    wt: 1:   Education Reform Inconsistencies
  284.    wt: 1:   talk the algebra talk
  285.    wt: 1:   geometric implications for algebra
  286.    wt: 1:   Lessening Algebra Difficulties
  287.    wt: 1:   the trouble with algebra
  288.    wt: 1:   Theory of Knowledge
  289.    wt: 1:   three kinds of reason in mathematics
  290.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  291.    wt: 1:   liens
  292.    wt: 1:   4 Energy Power Heat09
  293.    wt: 1:   2 Energy Power Heat07
  294.    wt: 1:   1 Energy Power Heat06
  295.    wt: 1:   E Energy Power05
  296.    wt: 1:   D Energy Power04
  297.    wt: 1:   B Energy Power02
  298.    wt: 1:   A Energy Power01
  299.    wt: 1:   2 Conductance Resistance Duality02
  300.    wt: 1:   1 Conductance Resistance Duality01
  301.    wt: 1:   F Wire Resistance Calculation04
  302.    wt: 1:   D Wire Resistance Calculation02
  303.    wt: 1:   C Wire Resistance Calculation01
  304.    wt: 1:   B Wire Resistance Qualitative02
  305.    wt: 1:   A Wire Resistance Qualitative01
  306.    wt: 1:   2 Unlike resistors in parallel01
  307.    wt: 1:   1 Like resistors in series
  308.    wt: 1:   H Series Circuit02
  309.    wt: 1:   G Series Circuit01
  310.    wt: 1:   F Unlike Resistors in Series
  311.    wt: 1:   C Electromotive force conventional current02
  312.    wt: 1:   A Circuit Elements
  313.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  314.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  315.    wt: 1:   8 The Effect of Negative Remarks
  316.    wt: 1:   Ages 3 plus to 4 plus
  317.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  318.    wt: 1:   11 arctan left inverse of tangent Graph
  319.    wt: 1:   10 arctan left inverse of tangent Definition
  320.    wt: 1:   8 arcsin left inverse of sine Graph
  321.    wt: 1:   7 arcsin left inverse of sine Definition
  322.    wt: 1:   6 Graph of arccos function
  323.    wt: 1:   3 Left Inverse of cosine arccos definition
  324.    wt: 1:   8 Radian Measures of Common Angles
  325.    wt: 1:   2 Radian Measure Numerical Value of one degree
  326.    wt: 1:   3 graphing y=f(x c) plus K
  327.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  328.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  329.    wt: 1:   14 Straight Lines Equations General Case
  330.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  331.    wt: 1:   12 Straight Lines Graphing mx plus b
  332.    wt: 1:   11 Straight Lines Graphing y=mx
  333.    wt: 1:   10 Straight Lines through Origin Equations More
  334.    wt: 1:   9 Straight Lines through Origin Equations
  335.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  336.    wt: 1:   17 tangent function angle sum formulas
  337.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  338.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  339.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  340.    wt: 1:   32 seven rows of pascals triangle
  341.    wt: 1:   31 basic secant cosecant cotangent trig identities
  342.    wt: 1:   30 unit circle calculation of six trigonometric functions
  343.    wt: 1:   28 Expressing products of sines cosines as sums
  344.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  345.    wt: 1:   21 sine and cosine Half Angle Formulas
  346.    wt: 1:   20 sine and cosine Double Angle Formulas
  347.    wt: 1:   18 sum of sinusoidal waves as a single wave
  348.    wt: 1:   17F Law of cosines
  349.    wt: 1:   17E Trig Formulas for dot and cross Products
  350.    wt: 1:   17D cis formulas for sine cosines and tangent
  351.    wt: 1:   17C sine and cosine double triple angle formulas
  352.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  353.    wt: 1:   13 Graph of tangent function many periods
  354.    wt: 1:   12 Graph of tangent function for one period
  355.    wt: 1:   10 Graphs of sines and cosines many periods
  356.    wt: 1:   9 Graphs of sine and cosine over one period
  357.    wt: 1:   8 period of tangent function
  358.    wt: 1:   7 period of sine and cosine
  359.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  360.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  361.    wt: 1:   Unit Circle Development of Trigonometry
  362.    wt: 1:   14 Law of cosines
  363.    wt: 1:   13 Trig Formulas for dot and cross Products
  364.    wt: 1:   12 cis formulas for sine cosines and tangent
  365.    wt: 1:   11 sine and cosine double triple angle formulas
  366.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  367.    wt: 1:   8 Unit Circle Development of Trigonometry
  368.    wt: 1:   6 Field Properties of Complex Number
  369.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  370.    wt: 1:   3 Trigonometric Ratios sine and cosine
  371.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  372.    wt: 1:   9 Similarity of Triangles Usual Criteria
  373.    wt: 1:   8 Similarity of Triangles and Polygons
  374.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  375.    wt: 1:   3 Similarity by Design with coordinates
  376.    wt: 1:   1 Early Concept of Like or Similar Shapes
  377.    wt: 1:   10 Midpoint of [a b] and [b a]
  378.    wt: 1:   6 Intersection of lines by solving linear systems
  379.    wt: 1:   1 Numerical view of lines and their equations
  380.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  381.    wt: 1:   17 Right Bisectors of Triangle Sides
  382.    wt: 1:   9 Construction of a right bisector
  383.    wt: 1:   A Measurement with Ruler Proper Use
  384.    wt: 1:   3 Lengths and Areas on Maps and Plans
  385.    wt: 1:   2 Measuring Area Directly
  386.    wt: 1:   musings do not puiblish real numbers
  387.    wt: 1:   A Modular and Remainder Arithmetic
  388.    wt: 1:   A Signed Number Arithmetic Review
  389.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  390.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  391.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  392.    wt: 1:   15 Head to Tails in place Addition Associative
  393.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  394.    wt: 1:   13 Arrows and Vectors in a Plane
  395.    wt: 1:   12 Real Numbers Line Signed Coordinates
  396.    wt: 1:   11 Signed Number Addition and Addition Properties
  397.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  398.    wt: 1:   9 Division with Digits after Decimal Point
  399.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  400.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  401.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  402.    wt: 1:   2 Counting Digits in Decimal Multiplication
  403.    wt: 1:   1 Fractions with Finite Decimal Expansions
  404.    wt: 1:   5 Proportionality in Equivalent Fractions
  405.    wt: 1:   4 Rates Ratios and Proporitionality
  406.    wt: 1:   1 What is Proportionality
  407.    wt: 1:   6 Equations and Systems Equivalent or Implied
  408.    wt: 1:   4 Subtraction and Division Axioms
  409.    wt: 1:   2 Addition and Multiplication Axioms
  410.    wt: 1:   1 Equivalent Computation Rules
  411.    wt: 1:   5 Greater More Less Than Signs in General
  412.    wt: 1:   2 More and Less Than for Counts and Measures
  413.    wt: 1:   1 Real Numbers Comparison
  414.    wt: 1:   16 Real Numbers Comparison
  415.    wt: 1:   15 Real Number Division
  416.    wt: 1:   14 Real Number Multiplication
  417.    wt: 1:   13 Real Number Subtraction
  418.    wt: 1:   12 Real Number Additive Inverses or Negatives
  419.    wt: 1:   11 Real Number Addition
  420.    wt: 1:   10 Real Number Lengths and Signs
  421.    wt: 1:   9 Coordinates for Regions in Space
  422.    wt: 1:   8 Coordinates for Maps and Planes
  423.    wt: 1:   7 Real Numbers as Line Cordinates
  424.    wt: 1:   6 Unsigned Real Numbers
  425.    wt: 1:   5 Rational Numbers More
  426.    wt: 1:   4 Rational Numbers
  427.    wt: 1:   2 Integers
  428.    wt: 1:   5 Independent versus Dependent Variables
  429.    wt: 1:   4 Changing Letters
  430.    wt: 1:   2 Computation Rules Evaluation
  431.    wt: 1:   9 Sets in Probability and Statistics
  432.    wt: 1:   7 Cautious or Safe Set Construction
  433.    wt: 1:   6 Power Set Notation
  434.    wt: 1:   5 Product Builder Notation
  435.    wt: 1:   4 Subset Builder Notation
  436.    wt: 1:   2 Venn Diagrams
  437.    wt: 1:   1 Finite Sets
  438.    wt: 1:   5 Talking about Numbers and Quantities
  439.    wt: 1:   2 What is a Variable
  440.    wt: 1:   About Folder Contents
  441.    wt: 1:   4 Greater More Less Than Signs in General
  442.    wt: 1:   2 More and Less Than with Unlike Signs
  443.    wt: 1:   1 More and Less Than for Counts and Measures
  444.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  445.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  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:   4 LCM of 8 and 10 via Prime
  449.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  450.    wt: 1:   5 lengths and signs of numbers
  451.    wt: 1:   3 signed coordinates for maps and planes
  452.    wt: 1:   6 Simplification of Fractions with Units
  453.    wt: 1:   13 Fraction Comparison Algebraic View
  454.    wt: 1:   11 Simplification an Algebraic View
  455.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  456.    wt: 1:   6 Multiplication Algebraically Take II
  457.    wt: 1:   11 Adding Integers Formulas and Examples
  458.    wt: 1:   10 Integer Multiplication Formulas
  459.    wt: 1:   6 Multiplication by Natural Numbers
  460.    wt: 1:   4 Adding Movements wiht opposite directions
  461.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  462.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  463.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  464.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  465.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  466.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  467.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  468.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  469.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  470.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  471.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  472.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  473.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  474.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  475.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  476.    wt: 1:   D Decimal Multiplication Methods Derived
  477.    wt: 1:   A Elementary Basis for Multiplication Methods
  478.    wt: 1:   6 Multiplication Commutes Order Not Important
  479.    wt: 1:   5 Decimal Fraction Multiplication
  480.    wt: 1:   4 Two and Three Digit Multipliers
  481.    wt: 1:   2 One Digit Multipliers
  482.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  483.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  484.    wt: 1:   Video Power Notation in Decimal Expansion
  485.    wt: 1:   1 Why 3 times 5 gives 15
  486.    wt: 1:   8 Subtraction with Units of Measure
  487.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  488.    wt: 1:   3. How to add with decimals A sans conversions
  489.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  490.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  491.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  492.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  493.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  494.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  495.    wt: 1:   012 Division of Time Intervals by Time Intervals
  496.    wt: 1:   011 Division of Time Intervals By Numbers
  497.    wt: 1:   010 Repeated Addition of Time Intervals
  498.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  499.    wt: 1:   8 Addition of Time Intervals via subtotaling
  500.    wt: 1:   7 Addition of Time Intervals
  501.    wt: 1:   4 Mixing and Changing Units of Time
  502.    wt: 1:   1 Intro of Kids To Time Date Skills
  503.    wt: 1:   Example 2 volume of a cone
  504.    wt: 1:   Example 1 volume of a pyramid
  505.    wt: 1:   Volume of Solid by Cross Sections Lesson
  506.    wt: 1:   Example 3
  507.    wt: 1:   Example 2
  508.    wt: 1:   Example 1
  509.    wt: 1:   3 Two Chain Rule Method Exercises
  510.    wt: 1:   A Related lessons in Volume 3
  511.    wt: 1:   4 Second derivative test exercise example
  512.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  513.    wt: 1:   A Chain Rule Real Player video examples
  514.    wt: 1:   29 Chain Rule Optional Reading
  515.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  516.    wt: 1:   26 Chain Rule Recognising outer inner functions
  517.    wt: 1:   25 Chain Rule Animated Examples Continued
  518.    wt: 1:   24 Chain Rule Animated Examples
  519.    wt: 1:   23 Chain Rule in general
  520.    wt: 1:   22 Chain Rule for polynomials
  521.    wt: 1:   20 Chain Rule for Pulley Systems
  522.    wt: 1:   19 Chain Rule for linear functions
  523.    wt: 1:   18 Chain Rule Introduction
  524.    wt: 1:   15 sine and cosine derivatives 3rd step
  525.    wt: 1:   14 sine and cosine derivatives 2nd step
  526.    wt: 1:   13 sine and cosine derivatives 1st step
  527.    wt: 1:   11 Quotient rule
  528.    wt: 1:   10 Power rule for negative integers
  529.    wt: 1:   9 Reciprocal rule
  530.    wt: 1:   7 Animated Differentiation Examples
  531.    wt: 1:   6 Power rule from product rule
  532.    wt: 1:   5 Product Rule
  533.    wt: 1:   4 Sum Rule
  534.    wt: 1:   2 Motivation for Limit Definition Take 1
  535.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  536.    wt: 1:   5 Jumps and absence of unlimited error control
  537.    wt: 1:   4 Numerical properties
  538.    wt: 1:   2 Algebraic codification
  539.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  540.    wt: 1:   G.3 Constant Difference Theorem Proof
  541.    wt: 1:   D2 Limits of Monotone Sequences
  542.    wt: 1:   B3 Bolzano Weierstrass Theorem
  543.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  544.    wt: 1:   Chapter 3. Slope Sign Analysis
  545.    wt: 1:   Postscript More on Better Performance
  546.    wt: 1:   Postscript For Better Performance
  547.    wt: 1:   Appendix E. How To Study Mathematics and Why
  548.    wt: 1:   Appendix D. What to do in School and Why
  549.    wt: 1:   Appendix C. How to Read
  550.    wt: 1:   Appendix B. How To Learn
  551.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  552.    wt: 1:   Chapter 30 Truth Tables
  553.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  554.    wt: 1:   Chapter 28 Occurrence Tables
  555.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  556.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  557.    wt: 1:   Chapter 25. Mathematical Induction Examples
  558.    wt: 1:   Chapter 25. Mathematical Induction Examples
  559.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  560.    wt: 1:   Chapter 23. Notation For Sums
  561.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  562.    wt: 1:   Chapter 21. Third Reading Guide
  563.    wt: 1:   Chapter 20. Degrees and Radians
  564.    wt: 1:   Chapter 19. Functions and Sets
  565.    wt: 1:   Chapter 16. Painless Theorem Proving
  566.    wt: 1:   Chapter 15. Solving Linear Equations
  567.    wt: 1:   Chapter 13. Second Reading Guide
  568.    wt: 1:   Chapter 12. Shorthand Usage Guide
  569.    wt: 1:   Chapter 11. Why Shorthand
  570.    wt: 1:   Chapter 10 Describing and Changing Calculations
  571.    wt: 1:   Postscript What is a Variable
  572.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  573.    wt: 1:   Solutions For Arithmetic Exercises
  574.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  575.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  576.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  577.    wt: 1:   Foreword
  578.    wt: 1:   Chapter 7 Two Treatments of Geometry
  579.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  580.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  581.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  582.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  583.    wt: 1:   Chapter 8 Change of Language
  584.    wt: 1:   Chapter 7 Longer Chains of Reason
  585.    wt: 1:   Chapter 6 Chains of Reason
  586.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  587.    wt: 1:   S Adding words to algebra
  588.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  589.    wt: 1:   B. Domino effect of errors
  590.    wt: 1:   Helping the Blind in Logic and Mathematics
  591.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  592.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  593.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  594.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  595.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  596.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  597.    wt: 1:   Which Way To Go
  598.    wt: 13:   3 Natural Logarithms and Exponentials Basic Properties
  599.    wt: 11:   7 Formulas for Roots with Logarithms Derivation
  600.    wt: 11:   6 Formulas for Even and Odd Roots with Logarithms
  601.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  602.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms

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Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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

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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

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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

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Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
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4. Fractions + Ratios
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2 Euclidean Geometry
3 Rct +Polr Coordinates
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1. Better Work Format
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3. Computation Rules
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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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