Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

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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58 matches:

  1.    wt: 8:   2 Natural Logarithms Exponentials Powers Roots/
  2.    wt: 5:   11 Squares and Square Roots/
  3.    wt: 5:   10 LCM GCD and Euclid GCD Algorithm/
  4.    wt: 5:   6 Fractions and Ratios/
  5.    wt: 4:   10 Examples of Algebraic Reasoning/
  6.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  7.    wt: 4:   A Decimal Counting and Adding Methods/
  8.    wt: 4:   1 Decimal Place Value/
  9.    wt: 3:   1 Five Polynomial Operations/
  10.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  11.    wt: 3:   Step 1 Stick diagram and fractions/
  12.    wt: 3:   9 Combinatorics Trees Tables and Products/
  13.    wt: 3:   7 Arithmetic and Fractions with Units/
  14.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  15.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  16.    wt: 3:   13 Lessons on Limits and Continuity/
  17.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  18.    wt: 2:   4 Functions/
  19.    wt: 2:   3 Quadratics Geometrically/
  20.    wt: 2:   More Algebra/
  21.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  22.    wt: 2:   12 Function Translating and Rescaling/
  23.    wt: 2:   11 Parallel Straight Lines and Transversals/
  24.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  25.    wt: 2:   6 Trigonometry first steps/
  26.    wt: 2:   1 Maps Plans Measurement/
  27.    wt: 2:   A Origins of Counting and Figuring Methods/
  28.    wt: 2:   9 Proportionality Backwards and Forwards/
  29.    wt: 2:   8 Unifying Theme For Algebra/
  30.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  31.    wt: 2:   4 Computation Rules and Function Notation/
  32.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  33.    wt: 2:   1 Working With Sets/
  34.    wt: 2:   8 Arithmetic with Signed Numbers/
  35.    wt: 2:   5 Integers/
  36.    wt: 2:   3 Prime Factorization Skills/
  37.    wt: 2:   D Decimal Long Division Methods/
  38.    wt: 2:   C Decimal Multiplication Methods/
  39.    wt: 2:   2 Arithmetic with Decimals/
  40.    wt: 2:   Arithmetic and Number Theory Skills/
  41.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  42.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  43.    wt: 1:   13 Vectors/
  44.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  45.    wt: 1:   4 Lines and Slopes Take 1/
  46.    wt: 1:   3 Cartesian and Polar Coordinates/
  47.    wt: 1:   B Real Numbers Extrinsic Development/
  48.    wt: 1:   5 Real Numbers/
  49.    wt: 1:   Step 4 Gaussian Elimination/
  50.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  51.    wt: 1:   3 Solving Linear Equations/
  52.    wt: 1:   2 Formula Forward Use Evaluation/
  53.    wt: 1:   Algebra Starter Lessons/
  54.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  55.    wt: 1:   Volume 2 Three Skills For Algebra/
  56.    wt: 1:   Work and Study Tips/
  57.    wt: 1:   Resources and Reciprocal Links/
  58.    wt: 1:   Mathematics 506 Lessons/

Web Page Search

324 matches:

  1.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 4:   21 Logarithms Powers and Exponentials
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  5.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  6.    wt: 3:   5 logarithms and exponentials etc
  7.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  10.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  11.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   2 More and Less Than for Counts and Measures
  16.    wt: 2:   1 Whole and Natural Numbers
  17.    wt: 2:   4 A Brief Story of numbers and algebra
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   1 Squares and Square Roots Introduction
  20.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 2:   6. Counting and adding units and mixed units
  22.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  23.    wt: 2:   Quick history of numbers and algebra
  24.    wt: 2:   015 School and work day counting tables
  25.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  26.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  27.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  28.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  29.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  30.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  31.    wt: 2:   More Algebra and Slope based Calculus Preview
  32.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  33.    wt: 1:   Appendix 2 primary school Arithmetic 01
  34.    wt: 1:   Appendix 1 primary and preschool mathematic
  35.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  36.    wt: 1:   Ramblings Introduction Algebra Essay
  37.    wt: 1:   Skills Chapter 3 Algebra
  38.    wt: 1:   7 logic review and decimals an odd combination
  39.    wt: 1:   4 algebra
  40.    wt: 1:   key notes and themes
  41.    wt: 1:   what should be learnt and When
  42.    wt: 1:   Postscript 2007 01 10
  43.    wt: 1:   talk the algebra talk
  44.    wt: 1:   geometric implications for algebra
  45.    wt: 1:   teaching tutoring algebraic reason
  46.    wt: 1:   Lessening Algebra Difficulties
  47.    wt: 1:   the trouble with algebra
  48.    wt: 1:   standards for course material
  49.    wt: 1:   Education in mathematics science and technology
  50.    wt: 1:   Motivation and Context Problem
  51.    wt: 1:   fairness and inductive principles for instruction
  52.    wt: 1:   chapitre 07 01 principle D induction mathematique
  53.    wt: 1:   chapitre 06 00 Chaines de la raison
  54.    wt: 1:   chapitre 04 06 engagements
  55.    wt: 1:   chapitre 04 01 Premiere enigme
  56.    wt: 1:   chapitre 01 00 Introduction
  57.    wt: 1:   1 Energy Power Heat06
  58.    wt: 1:   A Energy Power01
  59.    wt: 1:   1 Conductance Resistance Duality01
  60.    wt: 1:   C Wire Resistance Calculation01
  61.    wt: 1:   A Wire Resistance Qualitative01
  62.    wt: 1:   2 Unlike resistors in parallel01
  63.    wt: 1:   G Series Circuit01
  64.    wt: 1:   B Electromotive force conventional current01
  65.    wt: 1:   Home Tutoring and Home Schooling
  66.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  67.    wt: 1:   24 Standards For Skill Develoment Take II
  68.    wt: 1:   24 Standards For Skill Develoment
  69.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  70.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  71.    wt: 1:   17 Math Booklets for children and young teenagers
  72.    wt: 1:   14 Multiplication and Times Tables
  73.    wt: 1:   13 Addition and Addition Tables
  74.    wt: 1:   12 Goals and Objectives For Mathematics
  75.    wt: 1:   11 Help and Defend Your Child or Teens Education
  76.    wt: 1:   5 Patience Please for Yourself and Your Charges
  77.    wt: 1:   4 Learning Takes Time and Effort
  78.    wt: 1:   2 Reading and Writing Skills
  79.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  80.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  81.    wt: 1:   26 Function definitions done and coming
  82.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  83.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  84.    wt: 1:   19 Horizontal line rule and method
  85.    wt: 1:   18 Vertical Line Rule and Method
  86.    wt: 1:   17 Function maxima minima and their location
  87.    wt: 1:   11 Function Domain Range Source and Targets
  88.    wt: 1:   8 Set view of relations and functions
  89.    wt: 1:   6 Set Existence Formation and Notation
  90.    wt: 1:   4 Function notation in and beyond mathematics
  91.    wt: 1:   2 Algebraic use of function notation
  92.    wt: 1:   9 quadratics physical and further context
  93.    wt: 1:   11 Growth and Decay in Biology
  94.    wt: 1:   10 Exponential Growth and Decay Models
  95.    wt: 1:   5 Natural Logarithm Calculator Exercises
  96.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  97.    wt: 1:   Rewriting algebraic substitution as function substitutions
  98.    wt: 1:   16 cotangent function Definition Graph and Inverse
  99.    wt: 1:   15 cosecant function Definition Graph and Inverse
  100.    wt: 1:   14 secant function Definition Graph and Inverse
  101.    wt: 1:   13 cosecant function Definition Graph and Inverse
  102.    wt: 1:   9 Summary Degrees to Radians and back
  103.    wt: 1:   1 Degrees and Radians Introduction
  104.    wt: 1:   A Global Time and Navigation
  105.    wt: 1:   15 Dot and Cross Product
  106.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  107.    wt: 1:   Vector and Complex Number Applet
  108.    wt: 1:   Parallel Lines and Parallel Transversals
  109.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  110.    wt: 1:   Parallel Lines and Interior Angles
  111.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  112.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  113.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   29 secant cosecant and cotangent for acute angles
  115.    wt: 1:   27 Logarithmic use of products of sines and cosines
  116.    wt: 1:   26 Formulas for products of sines and cosines
  117.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  118.    wt: 1:   21 sine and cosine Half Angle Formulas
  119.    wt: 1:   20 sine and cosine Double Angle Formulas
  120.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  121.    wt: 1:   17E Trig Formulas for dot and cross Products
  122.    wt: 1:   17D cis formulas for sine cosines and tangent
  123.    wt: 1:   17C sine and cosine double triple angle formulas
  124.    wt: 1:   10 Graphs of sines and cosines many periods
  125.    wt: 1:   9 Graphs of sine and cosine over one period
  126.    wt: 1:   7 period of sine and cosine
  127.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  128.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  129.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  130.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  131.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  132.    wt: 1:   20 N th Roots of Complex Numbers
  133.    wt: 1:   19 N th Roots of Unity
  134.    wt: 1:   18 Sixth Roots of Unity
  135.    wt: 1:   17 Cube Roots of unity
  136.    wt: 1:   16 References and Originality Question
  137.    wt: 1:   13 Trig Formulas for dot and cross Products
  138.    wt: 1:   12 cis formulas for sine cosines and tangent
  139.    wt: 1:   11 sine and cosine double triple angle formulas
  140.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  141.    wt: 1:   3 Trigonometric Ratios sine and cosine
  142.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  143.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  144.    wt: 1:   8 Similarity of Triangles and Polygons
  145.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  146.    wt: 1:   10 Midpoint of [a b] and [b a]
  147.    wt: 1:   7 Exercises to test skill and concept mastery
  148.    wt: 1:   5 Algebraic View of Slopes
  149.    wt: 1:   1 Numerical view of lines and their equations
  150.    wt: 1:   What is and is not here
  151.    wt: 1:   6 Polar Multiplication and Rotation
  152.    wt: 1:   5 Cartesian Addition and Translation
  153.    wt: 1:   4 Polar Coordinates to and from
  154.    wt: 1:   16 Angles Subtended By Chords and Diameters
  155.    wt: 1:   6 Ruler and compass Angle Bisection
  156.    wt: 1:   1 Initial Concepts and Terms
  157.    wt: 1:   A Modular and Remainder Arithmetic
  158.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  159.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  160.    wt: 1:   13 Arrows and Vectors in a Plane
  161.    wt: 1:   11 Signed Number Addition and Addition Properties
  162.    wt: 1:   8 Division and Mulplication of Compound Fractions
  163.    wt: 1:   B Decimal Comparison and Subtraction
  164.    wt: 1:   2 Combing Counts Addition Skills and Principles
  165.    wt: 1:   3 Inequalities Algebraically
  166.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  167.    wt: 1:   4 Rates Ratios and Proporitionality
  168.    wt: 1:   2 Algebraic View
  169.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  170.    wt: 1:   6 Compound Interest Forward and Backwards
  171.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  172.    wt: 1:   6 Equations and Systems Equivalent or Implied
  173.    wt: 1:   5 Equality in Algebra
  174.    wt: 1:   4 Subtraction and Division Axioms
  175.    wt: 1:   2 Addition and Multiplication Axioms
  176.    wt: 1:   3 More and Less Than with Unlike Signs
  177.    wt: 1:   10 Real Number Lengths and Signs
  178.    wt: 1:   8 Coordinates for Maps and Planes
  179.    wt: 1:   3 Geometric Formulas and Function Notation
  180.    wt: 1:   1 Formulas Dependence and Function Notation
  181.    wt: 1:   3 GE III Equation Addition and Multiplication
  182.    wt: 1:   6 Algebraic Solution Example
  183.    wt: 1:   5 Algebraic Solutions Introduction
  184.    wt: 1:   1 Written work formats for developing and showing skill
  185.    wt: 1:   9 Sets in Probability and Statistics
  186.    wt: 1:   5 Talking about Numbers and Quantities
  187.    wt: 1:   1 Three Skills For Algebra
  188.    wt: 1:   2 More and Less Than with Unlike Signs
  189.    wt: 1:   5 Square Roots with primes more still
  190.    wt: 1:   4 Square Roots with primes more
  191.    wt: 1:   3 Properties of Square Roots with example
  192.    wt: 1:   2 Square Roots with Prime
  193.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  194.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  195.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  196.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  197.    wt: 1:   7 GCD and LCM from prime factorization
  198.    wt: 1:   4 LCM of 8 and 10 via Prime
  199.    wt: 1:   3 Counting with Tables and Trees II
  200.    wt: 1:   2 Counting with Tables and Trees I
  201.    wt: 1:   1 Counting and Counting Methods I
  202.    wt: 1:   11 What are real lengths and numbers
  203.    wt: 1:   7 negative and additive inverse
  204.    wt: 1:   5 lengths and signs of numbers
  205.    wt: 1:   3 signed coordinates for maps and planes
  206.    wt: 1:   2 signed and unsigned numbers as coordinates
  207.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  208.    wt: 1:   3 Multiplying Units and Numbers
  209.    wt: 1:   2 Equality and Units
  210.    wt: 1:   1 Addition and Subtraction with Units
  211.    wt: 1:   B Fractions and Two Term Ratios
  212.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  213.    wt: 1:   21 Reciprocals for Fractions and Wholes
  214.    wt: 1:   17 Efficient Ways to Add and Subtract
  215.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  216.    wt: 1:   14 Adding and Subtracting with Like Denominators
  217.    wt: 1:   13 Fraction Comparison Algebraic View
  218.    wt: 1:   11 Simplification an Algebraic View
  219.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  220.    wt: 1:   9 Improper Fractions and Mixed Numbers
  221.    wt: 1:   6 Multiplication Algebraically Take II
  222.    wt: 1:   11 Adding Integers Formulas and Examples
  223.    wt: 1:   6 Multiplication by Natural Numbers
  224.    wt: 1:   5 Zero Movement and Additive Inverses
  225.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  226.    wt: 1:   17 Identify and Count Factors using Primes
  227.    wt: 1:   12 LCD GCD and LCM using Primes
  228.    wt: 1:   7 Calculator Usage Notes and Cautions
  229.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  230.    wt: 1:   5 Prime Factorization and a Square Rule
  231.    wt: 1:   3 video Primes and Composites from 9 times table
  232.    wt: 1:   2 Prime and Composites less than 16
  233.    wt: 1:   Division with Counts and Length
  234.    wt: 1:   Long Division forwards and backwards Example 3
  235.    wt: 1:   Long Division forwards and backwards Example 2
  236.    wt: 1:   Long Division forwards and backwards Example 1
  237.    wt: 1:   10 Division by Five Long and Short Ways
  238.    wt: 1:   C Counting Areas with Powers of Ten
  239.    wt: 1:   B Powers of Ten
  240.    wt: 1:   4 Two and Three Digit Multipliers
  241.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  242.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  243.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  244.    wt: 1:   8 What skills and work habits to require
  245.    wt: 1:   11 Place Value SI Standard International way
  246.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  247.    wt: 1:   Exact Arithmetic Wholes and Fractions
  248.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  249.    wt: 1:   016 Numbering Occidental Calendar Days
  250.    wt: 1:   014 Counting Days with Calendars
  251.    wt: 1:   013 Travel Time Tables
  252.    wt: 1:   012 Division of Time Intervals by Time Intervals
  253.    wt: 1:   011 Division of Time Intervals By Numbers
  254.    wt: 1:   010 Repeated Addition of Time Intervals
  255.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  256.    wt: 1:   4 Mixing and Changing Units of Time
  257.    wt: 1:   3 Units and Lengths of Time
  258.    wt: 1:   2 Time and Date Matters in School
  259.    wt: 1:   Example 1. Area Between x and x squared
  260.    wt: 1:   21 Chain Rule for powers
  261.    wt: 1:   17 Derivatives of quotients of sine and cosine
  262.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  263.    wt: 1:   15 sine and cosine derivatives 3rd step
  264.    wt: 1:   14 sine and cosine derivatives 2nd step
  265.    wt: 1:   13 sine and cosine derivatives 1st step
  266.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  267.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  268.    wt: 1:   9 Limits Continuity and Composition
  269.    wt: 1:   5 Jumps and absence of unlimited error control
  270.    wt: 1:   2 Algebraic codification
  271.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  272.    wt: 1:   E2 Algebraic Properties of Limits
  273.    wt: 1:   PostScript For and Against Decimal Perspectives
  274.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  275.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  276.    wt: 1:   Chapter 12. Units and Slopes
  277.    wt: 1:   Chapter 10 Slopes and Units
  278.    wt: 1:   Chapter 7 Slopes and Velocity
  279.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  280.    wt: 1:   Chapter 2. Slopes and Ski Trails
  281.    wt: 1:   Appendix E. How To Study Mathematics and Why
  282.    wt: 1:   Appendix D. What to do in School and Why
  283.    wt: 1:   Chapter 31 Direct and Indirect Reason
  284.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  285.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  286.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  287.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  288.    wt: 1:   Chapter 20. Degrees and Radians
  289.    wt: 1:   Chapter 19. Functions and Sets
  290.    wt: 1:   Chapter 18. Rules for Algebra
  291.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  292.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  293.    wt: 1:   Chapter 12. Shorthand Usage Guide
  294.    wt: 1:   Chapter 11. Why Shorthand
  295.    wt: 1:   Chapter 10 Describing and Changing Calculations
  296.    wt: 1:   Chapter 8 Three Skills For Algebra
  297.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  298.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  299.    wt: 1:   Chapter 3 Algebra Difficulties
  300.    wt: 1:   Chapter 2 For and Against Mathematics
  301.    wt: 1:   Postscript B More on Story Telling and Reason
  302.    wt: 1:   Chapter 24 Direct and Indirect Reason
  303.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  304.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  305.    wt: 1:   Chapter 18 Sense and Knowledge
  306.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  307.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  308.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  309.    wt: 1:   S Adding words to algebra
  310.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  311.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  312.    wt: 1:   O On Learning Mathematics and Science
  313.    wt: 1:   N Improving Marks on Tests and Finals
  314.    wt: 1:   J. More on written work and showing skill
  315.    wt: 1:   I. Logic and language skills
  316.    wt: 1:   H Jigsaw puzzles and problem solving
  317.    wt: 1:   G. Written work formats for developing and showing skill
  318.    wt: 1:   E. When and how to correct errors
  319.    wt: 1:   How to Build Skills and Confidence
  320.    wt: 1:   Helping the Blind in Logic and Mathematics
  321.    wt: 1:   Systematic Algebra Skill Development Missing Links
  322.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  323.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  324.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

901 matches:

  1.    wt: 9:   5 Natural Logarithm Calculator Exercises
  2.    wt: 8:   2 Square Root Simplification a prequel
  3.    wt: 8:   1 More and Less Than for Counts and Measures
  4.    wt: 8:   1 Squares and Square Roots Introduction
  5.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  6.    wt: 7:   5 Square Roots with primes more still
  7.    wt: 7:   4 Square Roots with primes more
  8.    wt: 7:   3 Properties of Square Roots with example
  9.    wt: 7:   2 Square Roots with Prime
  10.    wt: 7:   7 GCD and LCM from prime factorization
  11.    wt: 7:   C Equality for Fractions and Two Term Ratios and Fractions
  12.    wt: 7:   17 Efficient Ways to Add and Subtract
  13.    wt: 7:   9 Improper Fractions and Mixed Numbers
  14.    wt: 7:   6 Multiplication Algebraically Take II
  15.    wt: 7:   6. Counting and adding units and mixed units
  16.    wt: 7:   11 Place Value SI Standard International way
  17.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  18.    wt: 6:   17 GCD LCM of 85 and 60 via Prime
  19.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  20.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  21.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  22.    wt: 6:   9 GCD of 360 110 via Primes and Euclid Algorithm
  23.    wt: 6:   6 GCD from Prime
  24.    wt: 6:   5 Common Divisors 60 45 via Prime
  25.    wt: 6:   4 LCM of 8 and 10 via Prime
  26.    wt: 6:   2 Least Common Multiple LCM intro via list method
  27.    wt: 6:   12 GCD 2700 288 via Prime
  28.    wt: 6:   B Fractions and Two Term Ratios
  29.    wt: 6:   A Similarities between Fractions and Two Term Ratios
  30.    wt: 6:   21 Reciprocals for Fractions and Wholes
  31.    wt: 6:   15 Adding and Subtracting with Unlike Denominators
  32.    wt: 6:   14 Adding and Subtracting with Like Denominators
  33.    wt: 6:   13 Fraction Comparison Algebraic View
  34.    wt: 6:   11 Simplification an Algebraic View
  35.    wt: 6:   10 Simplification of Fractions and Mixed Numerals
  36.    wt: 6:   8 Numerals Fractionals Quantals Take II
  37.    wt: 6:   7 Numerals Fractionals Quantals
  38.    wt: 6:   1 What is a fraction Take II
  39.    wt: 6:   1 What is a fraction
  40.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  41.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  42.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  43.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  44.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  45.    wt: 5:   19 Horizontal line rule and method
  46.    wt: 5:   18 Vertical Line Rule and Method
  47.    wt: 5:   17 Function maxima minima and their location
  48.    wt: 5:   11 Function Domain Range Source and Targets
  49.    wt: 5:   6 Set Existence Formation and Notation
  50.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
  51.    wt: 5:   3 Inequalities Algebraically
  52.    wt: 5:   2 More and Less Than for Counts and Measures
  53.    wt: 5:   1 Formulas Dependence and Function Notation
  54.    wt: 5:   6 Algebraic Solution Example
  55.    wt: 5:   6 Three Examples
  56.    wt: 5:   2 More and Less Than with Unlike Signs
  57.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  58.    wt: 5:   13 GCD from given Prime Factorization
  59.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  60.    wt: 5:   8 GCD from Euclidean Algorithm
  61.    wt: 5:   LCM 60 45 Avoid List Method Use Prime
  62.    wt: 5:   1 Least Common Multiples LCM Introduction
  63.    wt: 5:   11 What are real lengths and numbers
  64.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  65.    wt: 5:   3 Multiplying Units and Numbers
  66.    wt: 5:   2 Equality and Units
  67.    wt: 5:   1 Addition and Subtraction with Units
  68.    wt: 5:   D Three Term Ratios
  69.    wt: 5:   22 Complex Compound Fractions
  70.    wt: 5:   21 Working With Signs
  71.    wt: 5:   20 Dividing Fractions the Why
  72.    wt: 5:   19 Dividing Fractions How TO
  73.    wt: 5:   18 Efficient Ways to Multiply
  74.    wt: 5:   16 Addition Subtraction Comparision Compared
  75.    wt: 5:   12 Fraction Comparison
  76.    wt: 5:   5 Equivalent Fractions
  77.    wt: 5:   4 Fraction Multiplication
  78.    wt: 5:   3 Unit fraction of a fraction
  79.    wt: 5:   2 Unit Fraction Multiplication
  80.    wt: 5:   6 Multiplication by Natural Numbers
  81.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  82.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  83.    wt: 5:   8 What skills and work habits to require
  84.    wt: 5:   1. Explaining Addition Table
  85.    wt: 5:   8 Review Lesson 1 2 4 and 6 All in One
  86.    wt: 5:   11 Limits at infinity Three Examples
  87.    wt: 5:   10 Three one sided limits with infinite values
  88.    wt: 5:   9 Limits Continuity and Composition
  89.    wt: 5:   6 Continuity at a point
  90.    wt: 5:   1 Numerical introduction
  91.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  92.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  93.    wt: 4:   16 Increasing or decreasing on intervals
  94.    wt: 4:   15 Sign analysis of functions
  95.    wt: 4:   14 Surjections Injections Bijections
  96.    wt: 4:   13 From one to one to many to one
  97.    wt: 4:   12 Function Domain Recognition Exercises
  98.    wt: 4:   10 Interval Notation
  99.    wt: 4:   1 Geometric Introduction of Function Notation
  100.    wt: 4:   1 Polynomials Distributive Law
  101.    wt: 4:   1 Degrees and Radians Introduction
  102.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  103.    wt: 4:   21 Logarithms Powers and Exponentials
  104.    wt: 4:   1 Angle Measurement with Degrees
  105.    wt: 4:   1 Numerical view of lines and their equations
  106.    wt: 4:   6 Polar Multiplication and Rotation
  107.    wt: 4:   3 Lengths and Areas on Maps and Plans
  108.    wt: 4:   6 Column Methods for Decimal Multiplication
  109.    wt: 4:   1 The Counting Origins of Numbers
  110.    wt: 4:   5 Areas of Rectangles Revisited
  111.    wt: 4:   4 Fraction Operations Axiomatic Development
  112.    wt: 4:   2 Fraction Operations Physical Development
  113.    wt: 4:   1 What is Proportionality
  114.    wt: 4:   6 Compound Interest Forward and Backwards
  115.    wt: 4:   6 Equations and Systems Equivalent or Implied
  116.    wt: 4:   3 More and Less Than with Unlike Signs
  117.    wt: 4:   1 Real Numbers Comparison
  118.    wt: 4:   1 Whole and Natural Numbers
  119.    wt: 4:   3 Geometric Formulas and Function Notation
  120.    wt: 4:   1 Proper Equal Sign Usage
  121.    wt: 4:   10 One Example
  122.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
  123.    wt: 4:   4 A Brief Story of numbers and algebra
  124.    wt: 4:   1 Three Skills For Algebra
  125.    wt: 4:   4 Greater More Less Than Signs in General
  126.    wt: 4:   3 Comparison of Negative Numbers
  127.    wt: 4:   3 Counting with Tables and Trees II
  128.    wt: 4:   2 Counting with Tables and Trees I
  129.    wt: 4:   1 Counting and Counting Methods I
  130.    wt: 4:   10 dividing signed numbers
  131.    wt: 4:   6 adding signed numbers
  132.    wt: 4:   7 Converting or Changing Units
  133.    wt: 4:   6 Simplification of Fractions with Units
  134.    wt: 4:   4 Fractions with Units
  135.    wt: 4:   11 Adding Integers Formulas and Examples
  136.    wt: 4:   1 Integers as Coordinates
  137.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  138.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  139.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  140.    wt: 4:   17 Identify and Count Factors using Primes
  141.    wt: 4:   12 LCD GCD and LCM using Primes
  142.    wt: 4:   1 video how Products are bigger than factor
  143.    wt: 4:   10 Division by Five Long and Short Ways
  144.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  145.    wt: 4:   1 Divsion Physical Examples
  146.    wt: 4:   6 Multiplication Commutes Order Not Important
  147.    wt: 4:   1 Why 3 times 5 gives 15
  148.    wt: 4:   Subtraction with J Conversions Example
  149.    wt: 4:   Subtraction Another Video Lesson
  150.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  151.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  152.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  153.    wt: 4:   7 Adding decimal fractions using decimal point
  154.    wt: 4:   5. How to add decimals C. Examples
  155.    wt: 4:   4. How to add with decimals B with conversions
  156.    wt: 4:   3. How to add with decimals A sans conversions
  157.    wt: 4:   2 Decimal Counting Practices
  158.    wt: 4:   9 Place Value Review Decimal form of Avogrados number included
  159.    wt: 4:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  160.    wt: 4:   5 More on Groups of 3 Place Value in Decimal Fractions
  161.    wt: 4:   4 Groups of 3 Place Value in Decimal Fractions
  162.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
  163.    wt: 4:   2 Groups of Three Place Value for Multidigit Decimals
  164.    wt: 4:   Quick history of numbers and algebra
  165.    wt: 4:   38 Formulas and derivatives for powers and roots
  166.    wt: 4:   5 Jumps and absence of unlimited error control
  167.    wt: 4:   2 Algebraic codification
  168.    wt: 3:   5 logarithms and exponentials etc
  169.    wt: 3:   1 Conductance Resistance Duality01
  170.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  171.    wt: 3:   26 Function definitions done and coming
  172.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  173.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  174.    wt: 3:   8 Set view of relations and functions
  175.    wt: 3:   4 Function notation in and beyond mathematics
  176.    wt: 3:   2 Algebraic use of function notation
  177.    wt: 3:   9 quadratics physical and further context
  178.    wt: 3:   6 quadratics numerical approach
  179.    wt: 3:   1 quadratics graphing exercises
  180.    wt: 3:   8 Notes for instructors or tutors
  181.    wt: 3:   7 Links Lessons Elsewhere
  182.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  183.    wt: 3:   4 Polynomials Long division linear divisor
  184.    wt: 3:   3 Polynomials Multiplication Addition
  185.    wt: 3:   2 Column Multiplication Method
  186.    wt: 3:   Rewriting algebraic substitution as function substitutions
  187.    wt: 3:   9 Summary Degrees to Radians and back
  188.    wt: 3:   15 Dot and Cross Product
  189.    wt: 3:   1 Unsigned Coordinates
  190.    wt: 3:   1 graphing y=f(x a)
  191.    wt: 3:   Parallel Lines and Parallel Transversals
  192.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  193.    wt: 3:   Parallel Lines and Interior Angles
  194.    wt: 3:   14 cosine even and sine and tangent are odd
  195.    wt: 3:   9 Graphs of sine and cosine over one period
  196.    wt: 3:   4 sines and cosines for reference angle 45 degrees
  197.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  198.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  199.    wt: 3:   3 Trigonometric Ratios sine and cosine
  200.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  201.    wt: 3:   10 Midpoint of [a b] and [b a]
  202.    wt: 3:   6 Intersection of lines by solving linear systems
  203.    wt: 3:   1 Cartesian Coordinates sans signs
  204.    wt: 3:   6 Ruler and compass Angle Bisection
  205.    wt: 3:   1 Initial Concepts and Terms
  206.    wt: 3:   6 Figuring with Maps Not to Scale
  207.    wt: 3:   1 Length Measurement
  208.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  209.    wt: 3:   13 Arrows and Vectors in a Plane
  210.    wt: 3:   11 Signed Number Addition and Addition Properties
  211.    wt: 3:   8 Division and Mulplication of Compound Fractions
  212.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  213.    wt: 3:   1 Fractions with Finite Decimal Expansions
  214.    wt: 3:   B Decimal Comparison and Subtraction
  215.    wt: 3:   2 Combing Counts Addition Skills and Principles
  216.    wt: 3:   4 Rates Ratios and Proporitionality
  217.    wt: 3:   2 Algebraic View
  218.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  219.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  220.    wt: 3:   1 Changing Calculations
  221.    wt: 3:   5 Equality in Algebra
  222.    wt: 3:   4 Subtraction and Division Axioms
  223.    wt: 3:   2 Addition and Multiplication Axioms
  224.    wt: 3:   1 Equivalent Computation Rules
  225.    wt: 3:   5 Greater More Less Than Signs in General
  226.    wt: 3:   4 Comparison of Negative Numbers
  227.    wt: 3:   10 Real Number Lengths and Signs
  228.    wt: 3:   8 Coordinates for Maps and Planes
  229.    wt: 3:   6 Unsigned Real Numbers
  230.    wt: 3:   5 Independent versus Dependent Variables
  231.    wt: 3:   4 Changing Letters
  232.    wt: 3:   2 Computation Rules Evaluation
  233.    wt: 3:   1 GE Substitution four examples
  234.    wt: 3:   1 Essentially One Unknown
  235.    wt: 3:   5 Algebraic Solutions Introduction
  236.    wt: 3:   Skill Development Notes
  237.    wt: 3:   9 Three Examples
  238.    wt: 3:   8 One Example
  239.    wt: 3:   7 Two Examples
  240.    wt: 3:   5 Three Examples
  241.    wt: 3:   4 Two Examples
  242.    wt: 3:   3 Two Examples
  243.    wt: 3:   2 Three Examples
  244.    wt: 3:   1 Written work formats for developing and showing skill
  245.    wt: 3:   9 Sets in Probability and Statistics
  246.    wt: 3:   6 Power Set Notation
  247.    wt: 3:   1 Finite Sets
  248.    wt: 3:   6 Three Notions of What is a Variable
  249.    wt: 3:   5 Talking about Numbers and Quantities
  250.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  251.    wt: 3:   4 Counting with Trees Product Rule Take I
  252.    wt: 3:   7 negative and additive inverse
  253.    wt: 3:   5 lengths and signs of numbers
  254.    wt: 3:   3 signed coordinates for maps and planes
  255.    wt: 3:   2 signed and unsigned numbers as coordinates
  256.    wt: 3:   13 Subtraction with Additive Inverse
  257.    wt: 3:   12 Adding Integers More Examples
  258.    wt: 3:   10 Integer Multiplication Formulas
  259.    wt: 3:   5 Zero Movement and Additive Inverses
  260.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  261.    wt: 3:   26 Divisibility by 2 3 5 Example
  262.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  263.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  264.    wt: 3:   23 Remainder Arithmetic Modulo 2
  265.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  266.    wt: 3:   21 Remainder Arithmetic Modulo 3
  267.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  268.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  269.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  270.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  271.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  272.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  273.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  274.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  275.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  276.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  277.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  278.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  279.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  280.    wt: 3:   5 Remainder Arithmetic Modulo 5
  281.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  282.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  283.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  284.    wt: 3:   1 Remainder Arithmetic Modulo 10
  285.    wt: 3:   19 video Prime Factorization Unique
  286.    wt: 3:   18 video Count Factors given Prime Factorization
  287.    wt: 3:   16 video Factors of 980 using prime
  288.    wt: 3:   15 video Factors of 20 using Prime Factorization
  289.    wt: 3:   14 video Factors of 24 Take II
  290.    wt: 3:   13 video Factors of 24 using prime
  291.    wt: 3:   11 Efficient Square Rule Use
  292.    wt: 3:   10 video Prime Factorization upto 23 squared
  293.    wt: 3:   7 Calculator Usage Notes and Cautions
  294.    wt: 3:   5 Prime Factorization and a Square Rule
  295.    wt: 3:   3 video Primes and Composites from 9 times table
  296.    wt: 3:   2 Prime and Composites less than 16
  297.    wt: 3:   Division with Counts and Length
  298.    wt: 3:   Long Division forwards and backwards Example 3
  299.    wt: 3:   Long Division forwards and backwards Example 2
  300.    wt: 3:   Long Division forwards and backwards Example 1
  301.    wt: 3:   12 Why Long Division Works Take III
  302.    wt: 3:   11 Another Single Digit Divisor Example
  303.    wt: 3:   C Counting Areas with Powers of Ten
  304.    wt: 3:   B Powers of Ten
  305.    wt: 3:   4 Two and Three Digit Multipliers
  306.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  307.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  308.    wt: 3:   Video Power Notation in Decimal Expansion
  309.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  310.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  311.    wt: 3:   9 22 Minute Subtraction Review Video
  312.    wt: 3:   8 Subtraction with Units of Measure
  313.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  314.    wt: 3:   5 A Tip for Efficent Subtraction
  315.    wt: 3:   2 Subtraction Easy Case Examples
  316.    wt: 3:   Exact Arithmetic Wholes and Fractions
  317.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  318.    wt: 3:   015 School and work day counting tables
  319.    wt: 3:   Example 2 volume of a cone
  320.    wt: 3:   Example 1 volume of a pyramid
  321.    wt: 3:   Volume of Solid by Cross Sections Lesson
  322.    wt: 3:   Example 1. Area Between x and x squared
  323.    wt: 3:   Area Between Curves Lesson Take 2
  324.    wt: 3:   Area Between Curves Lesson Take 1
  325.    wt: 3:   8 Four Animated Examples
  326.    wt: 3:   7 Evaluation by immediate or delayed substitution
  327.    wt: 3:   4 Numerical properties
  328.    wt: 3:   3 Decimal insights for limits continuity convergence
  329.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  330.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  331.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  332.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  333.    wt: 2:   Ramblings Introduction Algebra Essay
  334.    wt: 2:   Skills Chapter 3 Algebra
  335.    wt: 2:   10 statistics
  336.    wt: 2:   key notes and themes
  337.    wt: 2:   Motivation and Context Problem
  338.    wt: 2:   1 Energy Power Heat06
  339.    wt: 2:   C Wire Resistance Calculation01
  340.    wt: 2:   A Wire Resistance Qualitative01
  341.    wt: 2:   2 Unlike resistors in parallel01
  342.    wt: 2:   1 Like resistors in series
  343.    wt: 2:   Home Tutoring and Home Schooling
  344.    wt: 2:   17 Math Booklets for children and young teenagers
  345.    wt: 2:   14 Multiplication and Times Tables
  346.    wt: 2:   13 Addition and Addition Tables
  347.    wt: 2:   12 Goals and Objectives For Mathematics
  348.    wt: 2:   11 Help and Defend Your Child or Teens Education
  349.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  350.    wt: 2:   1 Speaking Skills
  351.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  352.    wt: 2:   sign monoticity analysis example 4
  353.    wt: 2:   sign monoticity analysis example 3
  354.    wt: 2:   sign monoticity analysis example 2
  355.    wt: 2:   sign monoticity analysis example 1
  356.    wt: 2:   23 Inverse Functions
  357.    wt: 2:   22 Square Root function graphically
  358.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  359.    wt: 2:   20 Interchanging coordinates a reflection
  360.    wt: 2:   9 Set theory term relation possible origins
  361.    wt: 2:   7 Functions with finite domains
  362.    wt: 2:   5 Function notation for geometric transformations
  363.    wt: 2:   3 Formula or function graphing exercise
  364.    wt: 2:   Introduction Reading Guide
  365.    wt: 2:   A Quadratics Summary
  366.    wt: 2:   10 quadratic exercises
  367.    wt: 2:   8 quadratics backward use of various formulas
  368.    wt: 2:   7 quadratic formulla derivation
  369.    wt: 2:   5 quadratics completing the square
  370.    wt: 2:   4 quadratics difference of two squares
  371.    wt: 2:   3 quadratics factoring by inspection
  372.    wt: 2:   2 quadratics graphing in general
  373.    wt: 2:   Quadratics in 10 steps
  374.    wt: 2:   16 cotangent function Definition Graph and Inverse
  375.    wt: 2:   15 cosecant function Definition Graph and Inverse
  376.    wt: 2:   14 secant function Definition Graph and Inverse
  377.    wt: 2:   13 cosecant function Definition Graph and Inverse
  378.    wt: 2:   9 motivation for name arcsin
  379.    wt: 2:   8 arcsin left inverse of sine Graph
  380.    wt: 2:   7 arcsin left inverse of sine Definition
  381.    wt: 2:   6 Graph of arccos function
  382.    wt: 2:   5 Swapping Coordinates is a reflection
  383.    wt: 2:   4 possible motivation for term arccos
  384.    wt: 2:   3 Left Inverse of cosine arccos definition
  385.    wt: 2:   2 cosine function more properties
  386.    wt: 2:   1 cosine function properties
  387.    wt: 2:   8 Radian Measures of Common Angles
  388.    wt: 2:   7 Radian Measures in special Triangles
  389.    wt: 2:   6 Radian Measure to Degrees
  390.    wt: 2:   5 Degrees to Radian Measure
  391.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  392.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  393.    wt: 2:   2 Radian Measure Numerical Value of one degree
  394.    wt: 2:   A Global Time and Navigation
  395.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  396.    wt: 2:   13 Velocity Vectors in Physics
  397.    wt: 2:   12 From Applied To Pure Mathematics
  398.    wt: 2:   11 Component Method
  399.    wt: 2:   10 Parallelogram Addition Method
  400.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  401.    wt: 2:   6 Vectors with Coordinates
  402.    wt: 2:   Vector and Complex Number Applet
  403.    wt: 2:   4 graphing y=Asin(x c)
  404.    wt: 2:   3 graphing y=f(x c) plus K
  405.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  406.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  407.    wt: 2:   Triangle Angles Sum To 180 Degrees
  408.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  409.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  410.    wt: 2:   Straight Lines ASA Intersection Study More
  411.    wt: 2:   Straight Lines ASA Intersection Study
  412.    wt: 2:   Straight Lines Instersection Solving Equations
  413.    wt: 2:   Straight Lines Intersection of
  414.    wt: 2:   1 Straight Lines Slope Concept
  415.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  416.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  417.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  418.    wt: 2:   29 secant cosecant and cotangent for acute angles
  419.    wt: 2:   27 Logarithmic use of products of sines and cosines
  420.    wt: 2:   26 Formulas for products of sines and cosines
  421.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  422.    wt: 2:   21 sine and cosine Half Angle Formulas
  423.    wt: 2:   20 sine and cosine Double Angle Formulas
  424.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  425.    wt: 2:   17E Trig Formulas for dot and cross Products
  426.    wt: 2:   17D cis formulas for sine cosines and tangent
  427.    wt: 2:   17C sine and cosine double triple angle formulas
  428.    wt: 2:   13 Graph of tangent function many periods
  429.    wt: 2:   10 Graphs of sines and cosines many periods
  430.    wt: 2:   7 period of sine and cosine
  431.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  432.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  433.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  434.    wt: 2:   19 N th Roots of Unity
  435.    wt: 2:   18 Sixth Roots of Unity
  436.    wt: 2:   17 Cube Roots of unity
  437.    wt: 2:   16 References and Originality Question
  438.    wt: 2:   13 Trig Formulas for dot and cross Products
  439.    wt: 2:   12 cis formulas for sine cosines and tangent
  440.    wt: 2:   11 sine and cosine double triple angle formulas
  441.    wt: 2:   6 Field Properties of Complex Number
  442.    wt: 2:   1 Rectangular Polar Coordinates Review
  443.    wt: 2:   8 Triangles Cascade Problem Solving
  444.    wt: 2:   7 Trignometric Ratios Unit Circle
  445.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  446.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  447.    wt: 2:   Why Trigonometry the whyslopes view
  448.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  449.    wt: 2:   12 Links Lessons elsewhere
  450.    wt: 2:   11 A Partial Summary
  451.    wt: 2:   7 Exercises to test skill and concept mastery
  452.    wt: 2:   5 Algebraic View of Slopes
  453.    wt: 2:   What is and is not here
  454.    wt: 2:   13 Pythagorean spatial distance formulas
  455.    wt: 2:   12 Spatial Coordinates
  456.    wt: 2:   11 Triangle Inequality
  457.    wt: 2:   10 Pythagorean plane distance formula
  458.    wt: 2:   5 Cartesian Addition and Translation
  459.    wt: 2:   4 Polar Coordinates to and from
  460.    wt: 2:   16 Angles Subtended By Chords and Diameters
  461.    wt: 2:   A Measurement with Ruler Proper Use
  462.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  463.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  464.    wt: 2:   4 Angles on Maps Plans drawn to scale
  465.    wt: 2:   2 Measuring Area Directly
  466.    wt: 2:   A Modular and Remainder Arithmetic
  467.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  468.    wt: 2:   19 Signed Multiples of Vectors
  469.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  470.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  471.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  472.    wt: 2:   15 Head to Tails in place Addition Associative
  473.    wt: 2:   12 Real Numbers Line Signed Coordinates
  474.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  475.    wt: 2:   9 Division with Digits after Decimal Point
  476.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  477.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  478.    wt: 2:   4 Location of Point in Decimal Addition
  479.    wt: 2:   3 Location of Point in Decimal Multiplication
  480.    wt: 2:   2 Counting Digits in Decimal Multiplication
  481.    wt: 2:   E Long Division Methods more
  482.    wt: 2:   D Long Division Methods
  483.    wt: 2:   C Three Decimal Subtraction Methods
  484.    wt: 2:   A Decimal Addition Columm Methods
  485.    wt: 2:   8 Column Multiplication Methods in General
  486.    wt: 2:   7 Decimals Multiplication Methods Examples
  487.    wt: 2:   5 Distributive Law for Whole Numbers
  488.    wt: 2:   4 Commutative Law Groups Counting Form
  489.    wt: 2:   3 Multiplicative Counting Skills Principles
  490.    wt: 2:   5 Proportionality in Equivalent Fractions
  491.    wt: 2:   3 Proportionality Examples
  492.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  493.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  494.    wt: 2:   5 Triangle Area Formula Backwards
  495.    wt: 2:   3 Linear Equation Literal Solution More
  496.    wt: 2:   2 Linear Equation Literal Solution
  497.    wt: 2:   3 Product Axioms Two Forms
  498.    wt: 2:   16 Real Numbers Comparison
  499.    wt: 2:   15 Real Number Division
  500.    wt: 2:   14 Real Number Multiplication
  501.    wt: 2:   13 Real Number Subtraction
  502.    wt: 2:   12 Real Number Additive Inverses or Negatives
  503.    wt: 2:   11 Real Number Addition
  504.    wt: 2:   9 Coordinates for Regions in Space
  505.    wt: 2:   7 Real Numbers as Line Cordinates
  506.    wt: 2:   3 GE III Equation Addition and Multiplication
  507.    wt: 2:   4 Four Examples Fractional Coefficients
  508.    wt: 2:   3 Four Examples
  509.    wt: 2:   2 Three Examples
  510.    wt: 2:   Using Letters for Physical Quantities
  511.    wt: 2:   13 Naming Identifying Formulas with Words
  512.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  513.    wt: 2:   11 Volume of Sphere
  514.    wt: 2:   10 Volume of Pyramid
  515.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  516.    wt: 2:   8 Sets of Numbers
  517.    wt: 2:   7 Cautious or Safe Set Construction
  518.    wt: 2:   5 Product Builder Notation
  519.    wt: 2:   4 Subset Builder Notation
  520.    wt: 2:   3 Counting with Sets etc
  521.    wt: 2:   2 Venn Diagrams
  522.    wt: 2:   3 Adding Words To Arithmetic
  523.    wt: 2:   2 What is a Variable
  524.    wt: 2:   arithmetic videos Real Player Format
  525.    wt: 2:   9 subtracting signed numbers
  526.    wt: 2:   8 multiplying signed numbers
  527.    wt: 2:   4 signed coordinates for regions in space
  528.    wt: 2:   D Remainders Modulo 11 Pair Rule
  529.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  530.    wt: 2:   B Integer Long Division Multiple Choices
  531.    wt: 2:   A Associative Law Theorectical Note
  532.    wt: 2:   9 Multiplying Integers
  533.    wt: 2:   8 Multiplication by Signed Numbers Integers
  534.    wt: 2:   7 Multiplication by Signs
  535.    wt: 2:   4 Adding Movements wiht opposite directions
  536.    wt: 2:   3 Adding Movements with same direction
  537.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  538.    wt: 2:   20 Uniqueness of Prime Factorization
  539.    wt: 2:   9 video Prime Factorization upto 19 squared
  540.    wt: 2:   8 video Prime Factorization upto 19
  541.    wt: 2:   4 video Prime Factorization Introduction
  542.    wt: 2:   Long Division Backwards more
  543.    wt: 2:   Long Division Backward
  544.    wt: 2:   9 Why Long Division Works Take II
  545.    wt: 2:   8 Correcting the Mistake
  546.    wt: 2:   7 Long Divison Mistake Catching
  547.    wt: 2:   5 Long Division Include Zeroes or not
  548.    wt: 2:   4 Division with 2 Digit Divsors
  549.    wt: 2:   3 Division Single Digit Divisor Example
  550.    wt: 2:   2 Division with Single Digit Divisors
  551.    wt: 2:   D Decimal Multiplication Methods Derived
  552.    wt: 2:   A Elementary Basis for Multiplication Methods
  553.    wt: 2:   5 Decimal Fraction Multiplication
  554.    wt: 2:   3 More One Digit Multipliers
  555.    wt: 2:   2 One Digit Multipliers
  556.    wt: 2:   Formula Evaluation how to show work
  557.    wt: 2:   Expression Evaluation how to show work
  558.    wt: 2:   The 20 Times Table
  559.    wt: 2:   The 12 Times Table Visually
  560.    wt: 2:   About folder contents
  561.    wt: 2:   016 Numbering Occidental Calendar Days
  562.    wt: 2:   014 Counting Days with Calendars
  563.    wt: 2:   013 Travel Time Tables
  564.    wt: 2:   012 Division of Time Intervals by Time Intervals
  565.    wt: 2:   011 Division of Time Intervals By Numbers
  566.    wt: 2:   010 Repeated Addition of Time Intervals
  567.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  568.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  569.    wt: 2:   Example 4 with x function of y
  570.    wt: 2:   Example 3
  571.    wt: 2:   Example 2
  572.    wt: 2:   Example 1
  573.    wt: 2:   Summary
  574.    wt: 2:   17 Derivatives of quotients of sine and cosine
  575.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  576.    wt: 2:   15 sine and cosine derivatives 3rd step
  577.    wt: 2:   14 sine and cosine derivatives 2nd step
  578.    wt: 2:   13 sine and cosine derivatives 1st step
  579.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  580.    wt: 2:   PostScript For and Against Decimal Perspectives
  581.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  582.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  583.    wt: 2:   Chapter 12. Units and Slopes
  584.    wt: 2:   Chapter 10 Slopes and Units
  585.    wt: 2:   Chapter 7 Slopes and Velocity
  586.    wt: 2:   Chapter 2. Slopes and Ski Trails
  587.    wt: 2:   Chapter 1.Introduction
  588.    wt: 2:   Foreword
  589.    wt: 2:   Appendix E. How To Study Mathematics and Why
  590.    wt: 2:   Appendix D. What to do in School and Why
  591.    wt: 2:   Chapter 31 Direct and Indirect Reason
  592.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  593.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  594.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  595.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  596.    wt: 2:   Chapter 20. Degrees and Radians
  597.    wt: 2:   Chapter 19. Functions and Sets
  598.    wt: 2:   Chapter 18. Rules for Algebra
  599.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  600.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  601.    wt: 2:   Chapter 12. Shorthand Usage Guide
  602.    wt: 2:   Chapter 11. Why Shorthand
  603.    wt: 2:   Chapter 10 Describing and Changing Calculations
  604.    wt: 2:   Chapter 8 Three Skills For Algebra
  605.    wt: 2:   Solutions For Arithmetic Exercises
  606.    wt: 2:   Chapter 6 Change of Language
  607.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  608.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  609.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  610.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  611.    wt: 2:   S Adding words to algebra
  612.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  613.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  614.    wt: 2:   O On Learning Mathematics and Science
  615.    wt: 2:   N Improving Marks on Tests and Finals
  616.    wt: 2:   J. More on written work and showing skill
  617.    wt: 2:   I. Logic and language skills
  618.    wt: 2:   H Jigsaw puzzles and problem solving
  619.    wt: 2:   G. Written work formats for developing and showing skill
  620.    wt: 2:   F. The student teacher tutor feedback loop
  621.    wt: 2:   E. When and how to correct errors
  622.    wt: 2:   A. Skill has to be seen to believed
  623.    wt: 2:   How to Build Skills and Confidence
  624.    wt: 2:   More Algebra and Slope based Calculus Preview
  625.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  626.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  627.    wt: 1:   Appendix 2 primary school Arithmetic 01
  628.    wt: 1:   Appendix 1 primary and preschool mathematic
  629.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  630.    wt: 1:   Skills Chapter 5 Calculus
  631.    wt: 1:   Skills Chapter 4 Logic
  632.    wt: 1:   Ramblings Extrinsic numbers theory
  633.    wt: 1:   Skills Chapter 2 Geometry
  634.    wt: 1:   Skills Chapter 1 Arithmetic
  635.    wt: 1:   Skills Chapter 0 Introduction
  636.    wt: 1:   11 pure mathematics
  637.    wt: 1:   7 logic review and decimals an odd combination
  638.    wt: 1:   6 polynomials etc
  639.    wt: 1:   4 algebra
  640.    wt: 1:   1 arithmetic with unsigned numbers
  641.    wt: 1:   which way to go
  642.    wt: 1:   activities for students
  643.    wt: 1:   Mathematics Education Professors
  644.    wt: 1:   what should be learnt and When
  645.    wt: 1:   Postscript 2007 01 10
  646.    wt: 1:   five decades make a difference
  647.    wt: 1:   talk the algebra talk
  648.    wt: 1:   teaching tips
  649.    wt: 1:   geometric implications for algebra
  650.    wt: 1:   teaching tutoring algebraic reason
  651.    wt: 1:   Lessening Algebra Difficulties
  652.    wt: 1:   the trouble with algebra
  653.    wt: 1:   05 13 OldSiteEntrancePage
  654.    wt: 1:   04 29 New Mathematics Curriculum
  655.    wt: 1:   04 25 when to stop or suspend mathemat
  656.    wt: 1:   02 21 words for teachers
  657.    wt: 1:   02 20 mathematics education references
  658.    wt: 1:   three aims for mathematics students
  659.    wt: 1:   standards for course material
  660.    wt: 1:   Operational Viewpoint to Value
  661.    wt: 1:   Education in mathematics science and technology
  662.    wt: 1:   cultivating intelligence
  663.    wt: 1:   Four ways to improve education reform
  664.    wt: 1:   fairness and inductive principles for instruction
  665.    wt: 1:   chapitre 07 01 principle D induction mathematique
  666.    wt: 1:   chapitre 06 00 Chaines de la raison
  667.    wt: 1:   chapitre 04 06 engagements
  668.    wt: 1:   chapitre 04 01 Premiere enigme
  669.    wt: 1:   chapitre 01 00 Introduction
  670.    wt: 1:   problemes responses
  671.    wt: 1:   problemes algebre et arithmetique
  672.    wt: 1:   logique deux enigme
  673.    wt: 1:   A Energy Power01
  674.    wt: 1:   F Wire Resistance Calculation04
  675.    wt: 1:   E Wire Resistance Calculation03
  676.    wt: 1:   D Wire Resistance Calculation02
  677.    wt: 1:   B Wire Resistance Qualitative02
  678.    wt: 1:   3 Like resistors in parallel
  679.    wt: 1:   G Series Circuit01
  680.    wt: 1:   E Kirchoffs Second Law
  681.    wt: 1:   B Electromotive force conventional current01
  682.    wt: 1:   A Circuit Elements
  683.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  684.    wt: 1:   24 Standards For Skill Develoment Take II
  685.    wt: 1:   24 Standards For Skill Develoment
  686.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  687.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  688.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  689.    wt: 1:   18 Primary School Mathematics
  690.    wt: 1:   16 Secondary Mathematics Tips
  691.    wt: 1:   15 Counting For Parents
  692.    wt: 1:   10 Ends values for work study instruction
  693.    wt: 1:   5 Patience Please for Yourself and Your Charges
  694.    wt: 1:   4 Learning Takes Time and Effort
  695.    wt: 1:   2 Reading and Writing Skills
  696.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  697.    wt: 1:   12 motivation for term arctan
  698.    wt: 1:   11 arctan left inverse of tangent Graph
  699.    wt: 1:   10 arctan left inverse of tangent Definition
  700.    wt: 1:   9 Head to Tail Coordinate View
  701.    wt: 1:   8 Parallel Vectors
  702.    wt: 1:   5 Head To Tail Arrow Addition
  703.    wt: 1:   4 Resultant of a Sum of Movements
  704.    wt: 1:   3 Navigation with Arrows or Vectors
  705.    wt: 1:   2 Signed Coordinates
  706.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  707.    wt: 1:   C Straight Lines Slope from Coordinates
  708.    wt: 1:   B Straight Line Slope Scaling Properties More
  709.    wt: 1:   A Straight Line Slope Scaling Properties
  710.    wt: 1:   14 Straight Lines Equations General Case
  711.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  712.    wt: 1:   12 Straight Lines Graphing mx plus b
  713.    wt: 1:   11 Straight Lines Graphing y=mx
  714.    wt: 1:   10 Straight Lines through Origin Equations More
  715.    wt: 1:   9 Straight Lines through Origin Equations
  716.    wt: 1:   8 Straight Lines Equation for vertical
  717.    wt: 1:   7 Tangent Function is odd on this domain
  718.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  719.    wt: 1:   5 Tangent Function Graph
  720.    wt: 1:   4 Tangent Function Properties
  721.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  722.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  723.    wt: 1:   32 seven rows of pascals triangle
  724.    wt: 1:   31 basic secant cosecant cotangent trig identities
  725.    wt: 1:   30 unit circle calculation of six trigonometric functions
  726.    wt: 1:   28 Expressing products of sines cosines as sums
  727.    wt: 1:   25 tangent double angle formula Slope connection
  728.    wt: 1:   24 tangent Angle Difference Formula
  729.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  730.    wt: 1:   18 sum of sinusoidal waves as a single wave
  731.    wt: 1:   17G Pythagorean Theorem Converse
  732.    wt: 1:   17F Law of cosines
  733.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  734.    wt: 1:   17A The complex number valued trig function cis
  735.    wt: 1:   16 Right Triangle Complementary Angle Relations
  736.    wt: 1:   15 sine cosine Complementary Angle Relations
  737.    wt: 1:   12 Graph of tangent function for one period
  738.    wt: 1:   11 tangent function undefined when terminal side vertical
  739.    wt: 1:   8 period of tangent function
  740.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  741.    wt: 1:   20 N th Roots of Complex Numbers
  742.    wt: 1:   15 Pythagorean Theorem Converse
  743.    wt: 1:   14 Law of cosines
  744.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  745.    wt: 1:   12 Triangles Similarity More Problems
  746.    wt: 1:   11 Triangle Similarity Missing Side Problem
  747.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  748.    wt: 1:   8 Similarity of Triangles and Polygons
  749.    wt: 1:   6 Geometric Diagrams in Class
  750.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  751.    wt: 1:   1 Early Concept of Like or Similar Shapes
  752.    wt: 1:   Four Simple Exercises
  753.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  754.    wt: 1:   8 Mid Point Formula
  755.    wt: 1:   4 Equations for lines three forms
  756.    wt: 1:   3 Slope product for perpendicular lines
  757.    wt: 1:   2 point slope equation for a line
  758.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  759.    wt: 1:   8 Distance Between Points on a Line
  760.    wt: 1:   7 Complex Numbers Appetizer
  761.    wt: 1:   3 Rectangular Coordinates Review
  762.    wt: 1:   2 Cartesian Coordinates with signs
  763.    wt: 1:   19 Right Triangle Similarity
  764.    wt: 1:   18 Triangle Similarity Take 1
  765.    wt: 1:   17 Right Bisectors of Triangle Sides
  766.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  767.    wt: 1:   14 Parallel Lines Postulate
  768.    wt: 1:   13 Angle Side Angle Failure
  769.    wt: 1:   12 Side Angle Side Failure
  770.    wt: 1:   11 Triangle Construction Fails
  771.    wt: 1:   10 Dropping a perpendicular to line
  772.    wt: 1:   musings do not puiblish real numbers
  773.    wt: 1:   A Signed Number Arithmetic Review
  774.    wt: 1:   26 More Less Greater Than Comparison
  775.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  776.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  777.    wt: 1:   23 Distributive Law Two Derivations
  778.    wt: 1:   22 Multiplication of Signed Numbers
  779.    wt: 1:   21 Addition of Multiples of a Single Vector
  780.    wt: 1:   5 Rational Numbers More
  781.    wt: 1:   4 Rational Numbers
  782.    wt: 1:   3 Fractions
  783.    wt: 1:   2 Integers
  784.    wt: 1:   More Exercises
  785.    wt: 1:   Simple Exercises
  786.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  787.    wt: 1:   4 GE III Animated Examples
  788.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  789.    wt: 1:   2 GE II Comparison
  790.    wt: 1:   4 Solving a triangular system exercise
  791.    wt: 1:   3 Solving triangular system example
  792.    wt: 1:   2 Essentially one exercises three with solution
  793.    wt: 1:   Formula Usage Show Work Format
  794.    wt: 1:   9 Volume of Cone
  795.    wt: 1:   8 Compound Interest Formula Evaluation
  796.    wt: 1:   7 Compound Interest Formula Introduction
  797.    wt: 1:   5 Box Volume Formula Example
  798.    wt: 1:   4 Circle Area Formula Example
  799.    wt: 1:   3 Triangle Area Formula Example
  800.    wt: 1:   2 Another Rectangle Area Formula Example
  801.    wt: 1:   About Folder Contents
  802.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  803.    wt: 1:   6 How long is a million seconds
  804.    wt: 1:   4 Mixing and Changing Units of Time
  805.    wt: 1:   3 Units and Lengths of Time
  806.    wt: 1:   2 Time and Date Matters in School
  807.    wt: 1:   1 Intro of Kids To Time Date Skills
  808.    wt: 1:   A Related Material in Volume 3
  809.    wt: 1:   4 Definite Integrals Evaluation Exercises
  810.    wt: 1:   1 Chain Rule in Reverse Integration Method
  811.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  812.    wt: 1:   21 Chain Rule for powers
  813.    wt: 1:   19 Chain Rule for linear functions
  814.    wt: 1:   18 Chain Rule Introduction
  815.    wt: 1:   12 Quotient rule examples
  816.    wt: 1:   11 Quotient rule
  817.    wt: 1:   10 Power rule for negative integers
  818.    wt: 1:   6 Power rule from product rule
  819.    wt: 1:   3 Motivation for Limit Definition Take 2
  820.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  821.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  822.    wt: 1:   E2 Algebraic Properties of Limits
  823.    wt: 1:   D2 Limits of Monotone Sequences
  824.    wt: 1:   A1. Introduction
  825.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  826.    wt: 1:   Chapter 23 Links To Trigonometry
  827.    wt: 1:   Chapter 22 Complex Numbers
  828.    wt: 1:   Chapter 21 Arrow Addition
  829.    wt: 1:   Chapter 18. Slopes Areas Integration
  830.    wt: 1:   Chapter 17. Area Approximation
  831.    wt: 1:   Chapter 16. Velocity Approximation
  832.    wt: 1:   Chapter 15. Slope Approximation
  833.    wt: 1:   Chapter 13. Acceleration
  834.    wt: 1:   Chapter 11. Graphing Slope versus Position
  835.    wt: 1:   Chapter 9 About First Courses in Calculus
  836.    wt: 1:   Chapter 8. Slope Interpretation
  837.    wt: 1:   Chapter 5. Slope Sign Tests
  838.    wt: 1:   Chapter 4. More Slope Sign Analysis
  839.    wt: 1:   Chapter 3. Slope Sign Analysis
  840.    wt: 1:   Fall 1983 Calculus Appetizer
  841.    wt: 1:   Postscript More on Better Performance
  842.    wt: 1:   Postscript For Better Performance
  843.    wt: 1:   Appendix C. How to Read
  844.    wt: 1:   Appendix B. How To Learn
  845.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  846.    wt: 1:   Chapter 30 Truth Tables
  847.    wt: 1:   Chapter 28 Occurrence Tables
  848.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  849.    wt: 1:   Chapter 25. Mathematical Induction Examples
  850.    wt: 1:   Chapter 25. Mathematical Induction Examples
  851.    wt: 1:   Chapter 23. Notation For Sums
  852.    wt: 1:   Chapter 21. Third Reading Guide
  853.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  854.    wt: 1:   Chapter 16. Painless Theorem Proving
  855.    wt: 1:   Chapter 15. Solving Linear Equations
  856.    wt: 1:   Chapter 13. Second Reading Guide
  857.    wt: 1:   Postscript What is a Variable
  858.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  859.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  860.    wt: 1:   Chapter 4 Longer Chains of Reason
  861.    wt: 1:   Chapter 3 Chains of Reason
  862.    wt: 1:   Foreword
  863.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  864.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  865.    wt: 1:   Chapter 3 Algebra Difficulties
  866.    wt: 1:   Chapter 2 For and Against Mathematics
  867.    wt: 1:   Chapter 1 Introduction
  868.    wt: 1:   Postscript B More on Story Telling and Reason
  869.    wt: 1:   Chapter 24 Direct and Indirect Reason
  870.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  871.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  872.    wt: 1:   Chapter 18 Sense and Knowledge
  873.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  874.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  875.    wt: 1:   Chapter 6 Chains of Reason
  876.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  877.    wt: 1:   Chapter 1 Introduction
  878.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  879.    wt: 1:   R Why Learn Mathematics Skills
  880.    wt: 1:   N Mathematics Prepare for College Studies
  881.    wt: 1:   M Words to extend arithmetic
  882.    wt: 1:   L Skills with take home value
  883.    wt: 1:   H more Routine to non routine problem solving
  884.    wt: 1:   D. Check work a must with a caution
  885.    wt: 1:   C. Domino effect of being careful
  886.    wt: 1:   B. Domino effect of errors
  887.    wt: 1:   Helping the Blind in Logic and Mathematics
  888.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  889.    wt: 1:   Implementation Notes
  890.    wt: 1:   Systematic Algebra Skill Development Missing Links
  891.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  892.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  893.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  894.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  895.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  896.    wt: 11:   11 Growth and Decay in Biology
  897.    wt: 11:   10 Exponential Growth and Decay Models
  898.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  899.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  900.    wt: 10:   7 Formulas for Roots with Logarithms Derivation
  901.    wt: 10:   1 Calculator Starter Exercises

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Parents: Help your child or teen learn:

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

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

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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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