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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60 matches:

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

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316 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:   D1 Sets and Sequences GLBs and LGBs
  25.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  26.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  27.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  28.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  29.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  30.    wt: 2:   More Algebra and Slope based Calculus Preview
  31.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  32.    wt: 1:   Appendix 1 primary and preschool mathematic
  33.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  34.    wt: 1:   Ramblings Introduction Algebra Essay
  35.    wt: 1:   Skills Chapter 3 Algebra
  36.    wt: 1:   7 logic review and decimals an odd combination
  37.    wt: 1:   4 algebra
  38.    wt: 1:   key notes and themes
  39.    wt: 1:   what should be learnt and When
  40.    wt: 1:   talk the algebra talk
  41.    wt: 1:   geometric implications for algebra
  42.    wt: 1:   teaching tutoring algebraic reason
  43.    wt: 1:   Lessening Algebra Difficulties
  44.    wt: 1:   the trouble with algebra
  45.    wt: 1:   02 21 words for teachers
  46.    wt: 1:   02 20 mathematics education references
  47.    wt: 1:   standards for course material
  48.    wt: 1:   Education in mathematics science and technology
  49.    wt: 1:   Motivation and Context Problem
  50.    wt: 1:   fairness and inductive principles for instruction
  51.    wt: 1:   chapitre 06 00 Chaines de la raison
  52.    wt: 1:   chapitre 04 06 engagements
  53.    wt: 1:   chapitre 04 02 Deuxieme enigme
  54.    wt: 1:   chapitre 02 00 La Communication des idees
  55.    wt: 1:   1 Energy Power Heat06
  56.    wt: 1:   B Energy Power02
  57.    wt: 1:   2 Conductance Resistance Duality02
  58.    wt: 1:   D Wire Resistance Calculation02
  59.    wt: 1:   B Wire Resistance Qualitative02
  60.    wt: 1:   H Series Circuit02
  61.    wt: 1:   C Electromotive force conventional current02
  62.    wt: 1:   Home Tutoring and Home Schooling
  63.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  64.    wt: 1:   24 Standards For Skill Develoment Take II
  65.    wt: 1:   24 Standards For Skill Develoment
  66.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  67.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  68.    wt: 1:   17 Math Booklets for children and young teenagers
  69.    wt: 1:   14 Multiplication and Times Tables
  70.    wt: 1:   13 Addition and Addition Tables
  71.    wt: 1:   12 Goals and Objectives For Mathematics
  72.    wt: 1:   11 Help and Defend Your Child or Teens Education
  73.    wt: 1:   5 Patience Please for Yourself and Your Charges
  74.    wt: 1:   4 Learning Takes Time and Effort
  75.    wt: 1:   2 Reading and Writing Skills
  76.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  77.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  78.    wt: 1:   26 Function definitions done and coming
  79.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  80.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  81.    wt: 1:   19 Horizontal line rule and method
  82.    wt: 1:   18 Vertical Line Rule and Method
  83.    wt: 1:   17 Function maxima minima and their location
  84.    wt: 1:   11 Function Domain Range Source and Targets
  85.    wt: 1:   8 Set view of relations and functions
  86.    wt: 1:   6 Set Existence Formation and Notation
  87.    wt: 1:   4 Function notation in and beyond mathematics
  88.    wt: 1:   2 Algebraic use of function notation
  89.    wt: 1:   9 quadratics physical and further context
  90.    wt: 1:   11 Growth and Decay in Biology
  91.    wt: 1:   10 Exponential Growth and Decay Models
  92.    wt: 1:   5 Natural Logarithm Calculator Exercises
  93.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  94.    wt: 1:   Rewriting algebraic substitution as function substitutions
  95.    wt: 1:   16 cotangent function Definition Graph and Inverse
  96.    wt: 1:   15 cosecant function Definition Graph and Inverse
  97.    wt: 1:   14 secant function Definition Graph and Inverse
  98.    wt: 1:   13 cosecant function Definition Graph and Inverse
  99.    wt: 1:   9 Summary Degrees to Radians and back
  100.    wt: 1:   1 Degrees and Radians Introduction
  101.    wt: 1:   A Global Time and Navigation
  102.    wt: 1:   15 Dot and Cross Product
  103.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  104.    wt: 1:   Vector and Complex Number Applet
  105.    wt: 1:   Parallel Lines and Parallel Transversals
  106.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  107.    wt: 1:   Parallel Lines and Interior Angles
  108.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  109.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  110.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  111.    wt: 1:   29 secant cosecant and cotangent for acute angles
  112.    wt: 1:   27 Logarithmic use of products of sines and cosines
  113.    wt: 1:   26 Formulas for products of sines and cosines
  114.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  115.    wt: 1:   21 sine and cosine Half Angle Formulas
  116.    wt: 1:   20 sine and cosine Double Angle Formulas
  117.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  118.    wt: 1:   17E Trig Formulas for dot and cross Products
  119.    wt: 1:   17D cis formulas for sine cosines and tangent
  120.    wt: 1:   17C sine and cosine double triple angle formulas
  121.    wt: 1:   10 Graphs of sines and cosines many periods
  122.    wt: 1:   9 Graphs of sine and cosine over one period
  123.    wt: 1:   7 period of sine and cosine
  124.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  125.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  126.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  127.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  128.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  129.    wt: 1:   20 N th Roots of Complex Numbers
  130.    wt: 1:   19 N th Roots of Unity
  131.    wt: 1:   18 Sixth Roots of Unity
  132.    wt: 1:   17 Cube Roots of unity
  133.    wt: 1:   16 References and Originality Question
  134.    wt: 1:   13 Trig Formulas for dot and cross Products
  135.    wt: 1:   12 cis formulas for sine cosines and tangent
  136.    wt: 1:   11 sine and cosine double triple angle formulas
  137.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  138.    wt: 1:   3 Trigonometric Ratios sine and cosine
  139.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  140.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  141.    wt: 1:   8 Similarity of Triangles and Polygons
  142.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  143.    wt: 1:   10 Midpoint of [a b] and [b a]
  144.    wt: 1:   7 Exercises to test skill and concept mastery
  145.    wt: 1:   5 Algebraic View of Slopes
  146.    wt: 1:   1 Numerical view of lines and their equations
  147.    wt: 1:   What is and is not here
  148.    wt: 1:   6 Polar Multiplication and Rotation
  149.    wt: 1:   5 Cartesian Addition and Translation
  150.    wt: 1:   4 Polar Coordinates to and from
  151.    wt: 1:   16 Angles Subtended By Chords and Diameters
  152.    wt: 1:   6 Ruler and compass Angle Bisection
  153.    wt: 1:   1 Initial Concepts and Terms
  154.    wt: 1:   A Modular and Remainder Arithmetic
  155.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  156.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  157.    wt: 1:   13 Arrows and Vectors in a Plane
  158.    wt: 1:   11 Signed Number Addition and Addition Properties
  159.    wt: 1:   8 Division and Mulplication of Compound Fractions
  160.    wt: 1:   B Decimal Comparison and Subtraction
  161.    wt: 1:   2 Combing Counts Addition Skills and Principles
  162.    wt: 1:   3 Inequalities Algebraically
  163.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  164.    wt: 1:   4 Rates Ratios and Proporitionality
  165.    wt: 1:   2 Algebraic View
  166.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  167.    wt: 1:   6 Compound Interest Forward and Backwards
  168.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  169.    wt: 1:   6 Equations and Systems Equivalent or Implied
  170.    wt: 1:   5 Equality in Algebra
  171.    wt: 1:   4 Subtraction and Division Axioms
  172.    wt: 1:   2 Addition and Multiplication Axioms
  173.    wt: 1:   3 More and Less Than with Unlike Signs
  174.    wt: 1:   10 Real Number Lengths and Signs
  175.    wt: 1:   8 Coordinates for Maps and Planes
  176.    wt: 1:   3 Geometric Formulas and Function Notation
  177.    wt: 1:   1 Formulas Dependence and Function Notation
  178.    wt: 1:   3 GE III Equation Addition and Multiplication
  179.    wt: 1:   6 Algebraic Solution Example
  180.    wt: 1:   5 Algebraic Solutions Introduction
  181.    wt: 1:   1 Written work formats for developing and showing skill
  182.    wt: 1:   9 Sets in Probability and Statistics
  183.    wt: 1:   5 Talking about Numbers and Quantities
  184.    wt: 1:   1 Three Skills For Algebra
  185.    wt: 1:   2 More and Less Than with Unlike Signs
  186.    wt: 1:   5 Square Roots with primes more still
  187.    wt: 1:   4 Square Roots with primes more
  188.    wt: 1:   3 Properties of Square Roots with example
  189.    wt: 1:   2 Square Roots with Prime
  190.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  191.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  192.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  193.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  194.    wt: 1:   7 GCD and LCM from prime factorization
  195.    wt: 1:   4 LCM of 8 and 10 via Prime
  196.    wt: 1:   3 Counting with Tables and Trees II
  197.    wt: 1:   2 Counting with Tables and Trees I
  198.    wt: 1:   1 Counting and Counting Methods I
  199.    wt: 1:   11 What are real lengths and numbers
  200.    wt: 1:   7 negative and additive inverse
  201.    wt: 1:   5 lengths and signs of numbers
  202.    wt: 1:   3 signed coordinates for maps and planes
  203.    wt: 1:   2 signed and unsigned numbers as coordinates
  204.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  205.    wt: 1:   3 Multiplying Units and Numbers
  206.    wt: 1:   2 Equality and Units
  207.    wt: 1:   1 Addition and Subtraction with Units
  208.    wt: 1:   B Fractions and Two Term Ratios
  209.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  210.    wt: 1:   21 Reciprocals for Fractions and Wholes
  211.    wt: 1:   17 Efficient Ways to Add and Subtract
  212.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  213.    wt: 1:   14 Adding and Subtracting with Like Denominators
  214.    wt: 1:   13 Fraction Comparison Algebraic View
  215.    wt: 1:   11 Simplification an Algebraic View
  216.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  217.    wt: 1:   9 Improper Fractions and Mixed Numbers
  218.    wt: 1:   6 Multiplication Algebraically Take II
  219.    wt: 1:   11 Adding Integers Formulas and Examples
  220.    wt: 1:   6 Multiplication by Natural Numbers
  221.    wt: 1:   5 Zero Movement and Additive Inverses
  222.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  223.    wt: 1:   17 Identify and Count Factors using Primes
  224.    wt: 1:   12 LCD GCD and LCM using Primes
  225.    wt: 1:   7 Calculator Usage Notes and Cautions
  226.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  227.    wt: 1:   5 Prime Factorization and a Square Rule
  228.    wt: 1:   3 video Primes and Composites from 9 times table
  229.    wt: 1:   2 Prime and Composites less than 16
  230.    wt: 1:   Division with Counts and Length
  231.    wt: 1:   Long Division forwards and backwards Example 3
  232.    wt: 1:   Long Division forwards and backwards Example 2
  233.    wt: 1:   Long Division forwards and backwards Example 1
  234.    wt: 1:   10 Division by Five Long and Short Ways
  235.    wt: 1:   C Counting Areas with Powers of Ten
  236.    wt: 1:   B Powers of Ten
  237.    wt: 1:   4 Two and Three Digit Multipliers
  238.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  239.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  240.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  241.    wt: 1:   8 What skills and work habits to require
  242.    wt: 1:   11 Place Value SI Standard International way
  243.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  244.    wt: 1:   Exact Arithmetic Wholes and Fractions
  245.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  246.    wt: 1:   015 School and work day counting tables
  247.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  248.    wt: 1:   4 Mixing and Changing Units of Time
  249.    wt: 1:   3 Units and Lengths of Time
  250.    wt: 1:   2 Time and Date Matters in School
  251.    wt: 1:   Example 1. Area Between x and x squared
  252.    wt: 1:   21 Chain Rule for powers
  253.    wt: 1:   17 Derivatives of quotients of sine and cosine
  254.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  255.    wt: 1:   15 sine and cosine derivatives 3rd step
  256.    wt: 1:   14 sine and cosine derivatives 2nd step
  257.    wt: 1:   13 sine and cosine derivatives 1st step
  258.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  259.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  260.    wt: 1:   9 Limits Continuity and Composition
  261.    wt: 1:   5 Jumps and absence of unlimited error control
  262.    wt: 1:   2 Algebraic codification
  263.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  264.    wt: 1:   E2 Algebraic Properties of Limits
  265.    wt: 1:   PostScript For and Against Decimal Perspectives
  266.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  267.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  268.    wt: 1:   Chapter 12. Units and Slopes
  269.    wt: 1:   Chapter 10 Slopes and Units
  270.    wt: 1:   Chapter 7 Slopes and Velocity
  271.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  272.    wt: 1:   Chapter 2. Slopes and Ski Trails
  273.    wt: 1:   Appendix E. How To Study Mathematics and Why
  274.    wt: 1:   Appendix D. What to do in School and Why
  275.    wt: 1:   Chapter 31 Direct and Indirect Reason
  276.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  277.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  278.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  279.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  280.    wt: 1:   Chapter 20. Degrees and Radians
  281.    wt: 1:   Chapter 19. Functions and Sets
  282.    wt: 1:   Chapter 18. Rules for Algebra
  283.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  284.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  285.    wt: 1:   Chapter 12. Shorthand Usage Guide
  286.    wt: 1:   Chapter 11. Why Shorthand
  287.    wt: 1:   Chapter 10 Describing and Changing Calculations
  288.    wt: 1:   Chapter 8 Three Skills For Algebra
  289.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  290.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  291.    wt: 1:   Chapter 3 Algebra Difficulties
  292.    wt: 1:   Chapter 2 For and Against Mathematics
  293.    wt: 1:   Postscript B More on Story Telling and Reason
  294.    wt: 1:   Chapter 24 Direct and Indirect Reason
  295.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  296.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  297.    wt: 1:   Chapter 18 Sense and Knowledge
  298.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  299.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  300.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  301.    wt: 1:   S Adding words to algebra
  302.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  303.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  304.    wt: 1:   O On Learning Mathematics and Science
  305.    wt: 1:   N Improving Marks on Tests and Finals
  306.    wt: 1:   J. More on written work and showing skill
  307.    wt: 1:   I. Logic and language skills
  308.    wt: 1:   H Jigsaw puzzles and problem solving
  309.    wt: 1:   G. Written work formats for developing and showing skill
  310.    wt: 1:   E. When and how to correct errors
  311.    wt: 1:   How to Build Skills and Confidence
  312.    wt: 1:   Helping the Blind in Logic and Mathematics
  313.    wt: 1:   Systematic Algebra Skill Development Missing Links
  314.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  315.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  316.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

897 matches:

  1.    wt: 9:   11 Growth and Decay in Biology
  2.    wt: 9:   10 Exponential Growth and Decay Models
  3.    wt: 9:   5 Natural Logarithm Calculator Exercises
  4.    wt: 8:   1 Calculator Starter Exercises
  5.    wt: 7:   2 More and Less Than for Counts and Measures
  6.    wt: 7:   6 Algebraic Solution Example
  7.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  8.    wt: 7:   2 Subtraction Easy Case Examples
  9.    wt: 7:   6. Counting and adding units and mixed units
  10.    wt: 6:   2 Combing Counts Addition Skills and Principles
  11.    wt: 6:   2 Algebraic View
  12.    wt: 6:   2 Three Examples
  13.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  14.    wt: 6:   9 Improper Fractions and Mixed Numbers
  15.    wt: 6:   6 Multiplication Algebraically Take II
  16.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  17.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  18.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  19.    wt: 5:   26 Function definitions done and coming
  20.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  21.    wt: 5:   24 Monotoncity Injectivity and Inverse Functions
  22.    wt: 5:   6 Set Existence Formation and Notation
  23.    wt: 5:   2 Algebraic use of function notation
  24.    wt: 5:   21 Logarithms Powers and Exponentials
  25.    wt: 5:   6 Ruler and compass Angle Bisection
  26.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  27.    wt: 5:   6 Column Methods for Decimal Multiplication
  28.    wt: 5:   6 Compound Interest Forward and Backwards
  29.    wt: 5:   6 Equations and Systems Equivalent or Implied
  30.    wt: 5:   2 Addition and Multiplication Axioms
  31.    wt: 5:   3 More and Less Than with Unlike Signs
  32.    wt: 5:   5 Algebraic Solutions Introduction
  33.    wt: 5:   6 Three Examples
  34.    wt: 5:   2 Three Examples
  35.    wt: 5:   2 More and Less Than with Unlike Signs
  36.    wt: 5:   1 Squares and Square Roots Introduction
  37.    wt: 5:   B Fractions and Two Term Ratios
  38.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  39.    wt: 5:   21 Reciprocals for Fractions and Wholes
  40.    wt: 5:   17 Efficient Ways to Add and Subtract
  41.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  42.    wt: 5:   14 Adding and Subtracting with Like Denominators
  43.    wt: 5:   13 Fraction Comparison Algebraic View
  44.    wt: 5:   11 Simplification an Algebraic View
  45.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  46.    wt: 5:   8 Numerals Fractionals Quantals Take II
  47.    wt: 5:   7 Numerals Fractionals Quantals
  48.    wt: 5:   2 Unit Fraction Multiplication
  49.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  50.    wt: 5:   2 Division with Single Digit Divisors
  51.    wt: 5:   6 Multiplication Commutes Order Not Important
  52.    wt: 5:   2 One Digit Multipliers
  53.    wt: 5:   Appendix 2 Three Decimal Subtraction Methods
  54.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  55.    wt: 5:   Subtraction with J Conversions Example
  56.    wt: 5:   Subtraction Another Video Lesson
  57.    wt: 5:   9 22 Minute Subtraction Review Video
  58.    wt: 5:   8 Subtraction with Units of Measure
  59.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  60.    wt: 5:   5 A Tip for Efficent Subtraction
  61.    wt: 5:   8 What skills and work habits to require
  62.    wt: 5:   2 Decimal Counting Practices
  63.    wt: 5:   38 Formulas and derivatives for powers and roots
  64.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  65.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  66.    wt: 4:   23 Inverse Functions
  67.    wt: 4:   22 Square Root function graphically
  68.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
  69.    wt: 4:   20 Interchanging coordinates a reflection
  70.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  71.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  72.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  73.    wt: 4:   3 Trigonometric Ratios sine and cosine
  74.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
  75.    wt: 4:   6 Polar Multiplication and Rotation
  76.    wt: 4:   2 Correspondence between Triangles
  77.    wt: 4:   21 Addition of Multiples of a Single Vector
  78.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  79.    wt: 4:   13 Arrows and Vectors in a Plane
  80.    wt: 4:   11 Signed Number Addition and Addition Properties
  81.    wt: 4:   B Decimal Comparison and Subtraction
  82.    wt: 4:   3 Inequalities Algebraically
  83.    wt: 4:   2 Fraction Operations Physical Development
  84.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  85.    wt: 4:   4 Rates Ratios and Proporitionality
  86.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  87.    wt: 4:   4 Rectangle Area and Like Formulas Backwards
  88.    wt: 4:   2 Linear Equation Literal Solution
  89.    wt: 4:   5 Equality in Algebra
  90.    wt: 4:   4 Subtraction and Division Axioms
  91.    wt: 4:   5 Greater More Less Than Signs in General
  92.    wt: 4:   4 Comparison of Negative Numbers
  93.    wt: 4:   1 Real Numbers Comparison
  94.    wt: 4:   10 Real Number Lengths and Signs
  95.    wt: 4:   1 Whole and Natural Numbers
  96.    wt: 4:   3 Geometric Formulas and Function Notation
  97.    wt: 4:   2 Computation Rules Evaluation
  98.    wt: 4:   1 Formulas Dependence and Function Notation
  99.    wt: 4:   2 GE II Comparison
  100.    wt: 4:   2 Essentially one exercises three with solution
  101.    wt: 4:   4 Four Examples Fractional Coefficients
  102.    wt: 4:   3 Four Examples
  103.    wt: 4:   1 Proper Equal Sign Usage
  104.    wt: 4:   6 Pythagorean Hypotenuse Calculation Example
  105.    wt: 4:   2 Another Rectangle Area Formula Example
  106.    wt: 4:   1 Written work formats for developing and showing skill
  107.    wt: 4:   4 A Brief Story of numbers and algebra
  108.    wt: 4:   1 More and Less Than for Counts and Measures
  109.    wt: 4:   5 Square Roots with primes more still
  110.    wt: 4:   4 Square Roots with primes more
  111.    wt: 4:   3 Properties of Square Roots with example
  112.    wt: 4:   2 Square Roots with Prime
  113.    wt: 4:   2 signed and unsigned numbers as coordinates
  114.    wt: 4:   D Three Term Ratios
  115.    wt: 4:   22 Complex Compound Fractions
  116.    wt: 4:   21 Working With Signs
  117.    wt: 4:   20 Dividing Fractions the Why
  118.    wt: 4:   19 Dividing Fractions How TO
  119.    wt: 4:   18 Efficient Ways to Multiply
  120.    wt: 4:   16 Addition Subtraction Comparision Compared
  121.    wt: 4:   12 Fraction Comparison
  122.    wt: 4:   5 Equivalent Fractions
  123.    wt: 4:   4 Fraction Multiplication
  124.    wt: 4:   3 Unit fraction of a fraction
  125.    wt: 4:   1 What is a fraction Take II
  126.    wt: 4:   1 What is a fraction
  127.    wt: 4:   6 Multiplication by Natural Numbers
  128.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  129.    wt: 4:   2 Prime and Composites less than 16
  130.    wt: 4:   Long Division Backwards more
  131.    wt: 4:   Long Division Backward
  132.    wt: 4:   Division with Counts and Length
  133.    wt: 4:   Long Division forwards and backwards Example 3
  134.    wt: 4:   Long Division forwards and backwards Example 2
  135.    wt: 4:   Long Division forwards and backwards Example 1
  136.    wt: 4:   10 Division by Five Long and Short Ways
  137.    wt: 4:   C Counting Areas with Powers of Ten
  138.    wt: 4:   B Powers of Ten
  139.    wt: 4:   4 Two and Three Digit Multipliers
  140.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  141.    wt: 4:   7 Adding decimal fractions using decimal point
  142.    wt: 4:   5. How to add decimals C. Examples
  143.    wt: 4:   4. How to add with decimals B with conversions
  144.    wt: 4:   3. How to add with decimals A sans conversions
  145.    wt: 4:   1. Explaining Addition Table
  146.    wt: 4:   2 Algebraic codification
  147.    wt: 3:   5 logarithms and exponentials etc
  148.    wt: 3:   2 Conductance Resistance Duality02
  149.    wt: 3:   2 Reading and Writing Skills
  150.    wt: 3:   19 Horizontal line rule and method
  151.    wt: 3:   18 Vertical Line Rule and Method
  152.    wt: 3:   17 Function maxima minima and their location
  153.    wt: 3:   11 Function Domain Range Source and Targets
  154.    wt: 3:   8 Set view of relations and functions
  155.    wt: 3:   4 Function notation in and beyond mathematics
  156.    wt: 3:   9 quadratics physical and further context
  157.    wt: 3:   6 quadratics numerical approach
  158.    wt: 3:   2 quadratics graphing in general
  159.    wt: 3:   2 Column Multiplication Method
  160.    wt: 3:   Rewriting algebraic substitution as function substitutions
  161.    wt: 3:   9 Summary Degrees to Radians and back
  162.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  163.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  164.    wt: 3:   8 Triangles Cascade Problem Solving
  165.    wt: 3:   7 Trignometric Ratios Unit Circle
  166.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  167.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  168.    wt: 3:   6 Intersection of lines by solving linear systems
  169.    wt: 3:   2 point slope equation for a line
  170.    wt: 3:   2 Cartesian Coordinates with signs
  171.    wt: 3:   21 Parallelograms
  172.    wt: 3:   16 Angles Subtended By Chords and Diameters
  173.    wt: 3:   1 Initial Concepts and Terms
  174.    wt: 3:   A Modular and Remainder Arithmetic
  175.    wt: 3:   26 More Less Greater Than Comparison
  176.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  177.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  178.    wt: 3:   23 Distributive Law Two Derivations
  179.    wt: 3:   22 Multiplication of Signed Numbers
  180.    wt: 3:   19 Signed Multiples of Vectors
  181.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  182.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  183.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  184.    wt: 3:   15 Head to Tails in place Addition Associative
  185.    wt: 3:   12 Real Numbers Line Signed Coordinates
  186.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  187.    wt: 3:   8 Division and Mulplication of Compound Fractions
  188.    wt: 3:   6 Infinite Decimals Ending in 9 repeating
  189.    wt: 3:   2 Counting Digits in Decimal Multiplication
  190.    wt: 3:   E Long Division Methods more
  191.    wt: 3:   D Long Division Methods
  192.    wt: 3:   C Three Decimal Subtraction Methods
  193.    wt: 3:   A Decimal Addition Columm Methods
  194.    wt: 3:   8 Column Multiplication Methods in General
  195.    wt: 3:   7 Decimals Multiplication Methods Examples
  196.    wt: 3:   5 Distributive Law for Whole Numbers
  197.    wt: 3:   4 Commutative Law Groups Counting Form
  198.    wt: 3:   3 Multiplicative Counting Skills Principles
  199.    wt: 3:   1 The Counting Origins of Numbers
  200.    wt: 3:   5 Areas of Rectangles Revisited
  201.    wt: 3:   4 Fraction Operations Axiomatic Development
  202.    wt: 3:   5 Proportionality in Equivalent Fractions
  203.    wt: 3:   3 Proportionality Examples
  204.    wt: 3:   1 What is Proportionality
  205.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  206.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  207.    wt: 3:   5 Triangle Area Formula Backwards
  208.    wt: 3:   3 Linear Equation Literal Solution More
  209.    wt: 3:   1 Changing Calculations
  210.    wt: 3:   3 Product Axioms Two Forms
  211.    wt: 3:   1 Equivalent Computation Rules
  212.    wt: 3:   16 Real Numbers Comparison
  213.    wt: 3:   15 Real Number Division
  214.    wt: 3:   14 Real Number Multiplication
  215.    wt: 3:   13 Real Number Subtraction
  216.    wt: 3:   12 Real Number Additive Inverses or Negatives
  217.    wt: 3:   11 Real Number Addition
  218.    wt: 3:   8 Coordinates for Maps and Planes
  219.    wt: 3:   6 Unsigned Real Numbers
  220.    wt: 3:   2 Integers
  221.    wt: 3:   5 Independent versus Dependent Variables
  222.    wt: 3:   4 Changing Letters
  223.    wt: 3:   3 GE III Equation Addition and Multiplication
  224.    wt: 3:   Skill Development Notes
  225.    wt: 3:   10 One Example
  226.    wt: 3:   9 Three Examples
  227.    wt: 3:   8 One Example
  228.    wt: 3:   7 Two Examples
  229.    wt: 3:   5 Three Examples
  230.    wt: 3:   4 Two Examples
  231.    wt: 3:   3 Two Examples
  232.    wt: 3:   13 Naming Identifying Formulas with Words
  233.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  234.    wt: 3:   11 Volume of Sphere
  235.    wt: 3:   10 Volume of Pyramid
  236.    wt: 3:   9 Volume of Cone
  237.    wt: 3:   8 Compound Interest Formula Evaluation
  238.    wt: 3:   7 Compound Interest Formula Introduction
  239.    wt: 3:   5 Box Volume Formula Example
  240.    wt: 3:   4 Circle Area Formula Example
  241.    wt: 3:   3 Triangle Area Formula Example
  242.    wt: 3:   9 Sets in Probability and Statistics
  243.    wt: 3:   6 Power Set Notation
  244.    wt: 3:   2 Venn Diagrams
  245.    wt: 3:   6 Three Notions of What is a Variable
  246.    wt: 3:   5 Talking about Numbers and Quantities
  247.    wt: 3:   2 What is a Variable
  248.    wt: 3:   1 Three Skills For Algebra
  249.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  250.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  251.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  252.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  253.    wt: 3:   8 GCD from Euclidean Algorithm
  254.    wt: 3:   7 GCD and LCM from prime factorization
  255.    wt: 3:   6 GCD from Prime
  256.    wt: 3:   5 Common Divisors 60 45 via Prime
  257.    wt: 3:   4 LCM of 8 and 10 via Prime
  258.    wt: 3:   2 Least Common Multiple LCM intro via list method
  259.    wt: 3:   12 GCD 2700 288 via Prime
  260.    wt: 3:   3 Counting with Tables and Trees II
  261.    wt: 3:   2 Counting with Tables and Trees I
  262.    wt: 3:   1 Counting and Counting Methods I
  263.    wt: 3:   6 adding signed numbers
  264.    wt: 3:   3 signed coordinates for maps and planes
  265.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  266.    wt: 3:   3 Multiplying Units and Numbers
  267.    wt: 3:   2 Equality and Units
  268.    wt: 3:   1 Addition and Subtraction with Units
  269.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  270.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  271.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  272.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  273.    wt: 3:   5 Remainder Arithmetic Modulo 5
  274.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  275.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  276.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  277.    wt: 3:   1 Remainder Arithmetic Modulo 10
  278.    wt: 3:   12 Why Long Division Works Take III
  279.    wt: 3:   11 Another Single Digit Divisor Example
  280.    wt: 3:   9 Why Long Division Works Take II
  281.    wt: 3:   8 Correcting the Mistake
  282.    wt: 3:   7 Long Divison Mistake Catching
  283.    wt: 3:   5 Long Division Include Zeroes or not
  284.    wt: 3:   4 Division with 2 Digit Divsors
  285.    wt: 3:   3 Division Single Digit Divisor Example
  286.    wt: 3:   1 Divsion Physical Examples
  287.    wt: 3:   D Decimal Multiplication Methods Derived
  288.    wt: 3:   A Elementary Basis for Multiplication Methods
  289.    wt: 3:   5 Decimal Fraction Multiplication
  290.    wt: 3:   3 More One Digit Multipliers
  291.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  292.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  293.    wt: 3:   Video Power Notation in Decimal Expansion
  294.    wt: 3:   1 Why 3 times 5 gives 15
  295.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  296.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  297.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  298.    wt: 3:   Quick history of numbers and algebra
  299.    wt: 3:   21 Chain Rule for powers
  300.    wt: 3:   6 Power rule from product rule
  301.    wt: 3:   6 Continuity at a point
  302.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  303.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  304.    wt: 3:   Chapter 2. Slopes and Ski Trails
  305.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  306.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  307.    wt: 3:   Chapter 2 For and Against Mathematics
  308.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  309.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  310.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  311.    wt: 2:   Lessening Algebra Difficulties
  312.    wt: 2:   the trouble with algebra
  313.    wt: 2:   Motivation and Context Problem
  314.    wt: 2:   fairness and inductive principles for instruction
  315.    wt: 2:   2 Energy Power Heat07
  316.    wt: 2:   1 Energy Power Heat06
  317.    wt: 2:   B Energy Power02
  318.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  319.    wt: 2:   24 Standards For Skill Develoment Take II
  320.    wt: 2:   24 Standards For Skill Develoment
  321.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  322.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  323.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  324.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  325.    wt: 2:   sign monoticity analysis example 4
  326.    wt: 2:   sign monoticity analysis example 3
  327.    wt: 2:   sign monoticity analysis example 2
  328.    wt: 2:   sign monoticity analysis example 1
  329.    wt: 2:   16 Increasing or decreasing on intervals
  330.    wt: 2:   15 Sign analysis of functions
  331.    wt: 2:   14 Surjections Injections Bijections
  332.    wt: 2:   13 From one to one to many to one
  333.    wt: 2:   12 Function Domain Recognition Exercises
  334.    wt: 2:   10 Interval Notation
  335.    wt: 2:   9 Set theory term relation possible origins
  336.    wt: 2:   7 Functions with finite domains
  337.    wt: 2:   5 Function notation for geometric transformations
  338.    wt: 2:   3 Formula or function graphing exercise
  339.    wt: 2:   1 Geometric Introduction of Function Notation
  340.    wt: 2:   Introduction Reading Guide
  341.    wt: 2:   A Quadratics Summary
  342.    wt: 2:   10 quadratic exercises
  343.    wt: 2:   8 quadratics backward use of various formulas
  344.    wt: 2:   7 quadratic formulla derivation
  345.    wt: 2:   5 quadratics completing the square
  346.    wt: 2:   4 quadratics difference of two squares
  347.    wt: 2:   3 quadratics factoring by inspection
  348.    wt: 2:   1 quadratics graphing exercises
  349.    wt: 2:   Quadratics in 10 steps
  350.    wt: 2:   8 Notes for instructors or tutors
  351.    wt: 2:   7 Links Lessons Elsewhere
  352.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  353.    wt: 2:   4 Polynomials Long division linear divisor
  354.    wt: 2:   3 Polynomials Multiplication Addition
  355.    wt: 2:   1 Polynomials Distributive Law
  356.    wt: 2:   16 cotangent function Definition Graph and Inverse
  357.    wt: 2:   15 cosecant function Definition Graph and Inverse
  358.    wt: 2:   14 secant function Definition Graph and Inverse
  359.    wt: 2:   13 cosecant function Definition Graph and Inverse
  360.    wt: 2:   1 Degrees and Radians Introduction
  361.    wt: 2:   2 Signed Coordinates
  362.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  363.    wt: 2:   Parallel Lines and Parallel Transversals
  364.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  365.    wt: 2:   Parallel Lines and Interior Angles
  366.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  367.    wt: 2:   C Straight Lines Slope from Coordinates
  368.    wt: 2:   B Straight Line Slope Scaling Properties More
  369.    wt: 2:   A Straight Line Slope Scaling Properties
  370.    wt: 2:   8 Straight Lines Equation for vertical
  371.    wt: 2:   7 Tangent Function is odd on this domain
  372.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  373.    wt: 2:   5 Tangent Function Graph
  374.    wt: 2:   4 Tangent Function Properties
  375.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  376.    wt: 2:   21 sine and cosine Half Angle Formulas
  377.    wt: 2:   14 cosine even and sine and tangent are odd
  378.    wt: 2:   9 Graphs of sine and cosine over one period
  379.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  380.    wt: 2:   20 N th Roots of Complex Numbers
  381.    wt: 2:   6 Field Properties of Complex Number
  382.    wt: 2:   2 Complex Numbers made easier we hope
  383.    wt: 2:   1 Angle Measurement with Degrees
  384.    wt: 2:   Why Trigonometry the whyslopes view
  385.    wt: 2:   2 Similarity By Design
  386.    wt: 2:   10 Midpoint of [a b] and [b a]
  387.    wt: 2:   7 Exercises to test skill and concept mastery
  388.    wt: 2:   5 Algebraic View of Slopes
  389.    wt: 2:   1 Numerical view of lines and their equations
  390.    wt: 2:   What is and is not here
  391.    wt: 2:   5 Cartesian Addition and Translation
  392.    wt: 2:   4 Polar Coordinates to and from
  393.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  394.    wt: 2:   PS H Distributive Law For Complex Numbers
  395.    wt: 2:   PS G Rotation Distributes over Addition
  396.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  397.    wt: 2:   PS E Multiplication with Polar Coordinates
  398.    wt: 2:   PS D Addition with Cartesian Coordinates
  399.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  400.    wt: 2:   PS B Parallelogram Construction Methods
  401.    wt: 2:   PS A Kite Construction Methods
  402.    wt: 2:   19 Right Triangle Similarity
  403.    wt: 2:   18 Triangle Similarity Take 1
  404.    wt: 2:   17 Right Bisectors of Triangle Sides
  405.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  406.    wt: 2:   14 Parallel Lines Postulate
  407.    wt: 2:   13 Angle Side Angle Failure
  408.    wt: 2:   12 Side Angle Side Failure
  409.    wt: 2:   11 Triangle Construction Fails
  410.    wt: 2:   10 Dropping a perpendicular to line
  411.    wt: 2:   9 Construction of a right bisector
  412.    wt: 2:   8 Isoceles Triangles
  413.    wt: 2:   7 Angle Side Angle
  414.    wt: 2:   5 Side Angle Side
  415.    wt: 2:   4 Side Side Side
  416.    wt: 2:   3 Isometry of Triangles Congruence
  417.    wt: 2:   Short Course on Euclidean Geometry
  418.    wt: 2:   3 Lengths and Areas on Maps and Plans
  419.    wt: 2:   musings do not puiblish real numbers
  420.    wt: 2:   A Signed Number Arithmetic Review
  421.    wt: 2:   9 Division with Digits after Decimal Point
  422.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  423.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  424.    wt: 2:   4 Location of Point in Decimal Addition
  425.    wt: 2:   3 Location of Point in Decimal Multiplication
  426.    wt: 2:   1 Fractions with Finite Decimal Expansions
  427.    wt: 2:   9 Coordinates for Regions in Space
  428.    wt: 2:   7 Real Numbers as Line Cordinates
  429.    wt: 2:   5 Rational Numbers More
  430.    wt: 2:   4 Rational Numbers
  431.    wt: 2:   3 Fractions
  432.    wt: 2:   More Exercises
  433.    wt: 2:   Simple Exercises
  434.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  435.    wt: 2:   4 GE III Animated Examples
  436.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  437.    wt: 2:   1 GE Substitution four examples
  438.    wt: 2:   4 Solving a triangular system exercise
  439.    wt: 2:   3 Solving triangular system example
  440.    wt: 2:   1 Essentially One Unknown
  441.    wt: 2:   Using Letters for Physical Quantities
  442.    wt: 2:   Formula Usage Show Work Format
  443.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  444.    wt: 2:   8 Sets of Numbers
  445.    wt: 2:   7 Cautious or Safe Set Construction
  446.    wt: 2:   5 Product Builder Notation
  447.    wt: 2:   4 Subset Builder Notation
  448.    wt: 2:   3 Counting with Sets etc
  449.    wt: 2:   1 Finite Sets
  450.    wt: 2:   3 Adding Words To Arithmetic
  451.    wt: 2:   About Folder Contents
  452.    wt: 2:   4 Greater More Less Than Signs in General
  453.    wt: 2:   3 Comparison of Negative Numbers
  454.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  455.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  456.    wt: 2:   13 GCD from given Prime Factorization
  457.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  458.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  459.    wt: 2:   1 Least Common Multiples LCM Introduction
  460.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  461.    wt: 2:   4 Counting with Trees Product Rule Take I
  462.    wt: 2:   11 What are real lengths and numbers
  463.    wt: 2:   7 negative and additive inverse
  464.    wt: 2:   5 lengths and signs of numbers
  465.    wt: 2:   7 Converting or Changing Units
  466.    wt: 2:   6 Simplification of Fractions with Units
  467.    wt: 2:   4 Fractions with Units
  468.    wt: 2:   11 Adding Integers Formulas and Examples
  469.    wt: 2:   5 Zero Movement and Additive Inverses
  470.    wt: 2:   26 Divisibility by 2 3 5 Example
  471.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  472.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  473.    wt: 2:   23 Remainder Arithmetic Modulo 2
  474.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  475.    wt: 2:   21 Remainder Arithmetic Modulo 3
  476.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  477.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  478.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  479.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  480.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  481.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  482.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  483.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  484.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  485.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  486.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  487.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  488.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  489.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  490.    wt: 2:   20 Uniqueness of Prime Factorization
  491.    wt: 2:   17 Identify and Count Factors using Primes
  492.    wt: 2:   12 LCD GCD and LCM using Primes
  493.    wt: 2:   7 Calculator Usage Notes and Cautions
  494.    wt: 2:   5 Prime Factorization and a Square Rule
  495.    wt: 2:   3 video Primes and Composites from 9 times table
  496.    wt: 2:   11 Place Value SI Standard International way
  497.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  498.    wt: 2:   Exact Arithmetic Wholes and Fractions
  499.    wt: 2:   The 20 Times Table
  500.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  501.    wt: 2:   2 Time and Date Matters in School
  502.    wt: 2:   Example 2 volume of a cone
  503.    wt: 2:   Example 1 volume of a pyramid
  504.    wt: 2:   Volume of Solid by Cross Sections Lesson
  505.    wt: 2:   Example 1. Area Between x and x squared
  506.    wt: 2:   29 Chain Rule Optional Reading
  507.    wt: 2:   28 Chain Rule Preparation for a Proof
  508.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  509.    wt: 2:   26 Chain Rule Recognising outer inner functions
  510.    wt: 2:   23 Chain Rule in general
  511.    wt: 2:   22 Chain Rule for polynomials
  512.    wt: 2:   17 Derivatives of quotients of sine and cosine
  513.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  514.    wt: 2:   15 sine and cosine derivatives 3rd step
  515.    wt: 2:   14 sine and cosine derivatives 2nd step
  516.    wt: 2:   13 sine and cosine derivatives 1st step
  517.    wt: 2:   11 Quotient rule
  518.    wt: 2:   10 Power rule for negative integers
  519.    wt: 2:   9 Reciprocal rule
  520.    wt: 2:   8 Differentiation of polynomials
  521.    wt: 2:   7 Animated Differentiation Examples
  522.    wt: 2:   5 Product Rule
  523.    wt: 2:   4 Sum Rule
  524.    wt: 2:   2 Motivation for Limit Definition Take 1
  525.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  526.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  527.    wt: 2:   9 Limits Continuity and Composition
  528.    wt: 2:   5 Jumps and absence of unlimited error control
  529.    wt: 2:   3 Decimal insights for limits continuity convergence
  530.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  531.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  532.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  533.    wt: 2:   Chapter 12. Units and Slopes
  534.    wt: 2:   Chapter 10 Slopes and Units
  535.    wt: 2:   Chapter 7 Slopes and Velocity
  536.    wt: 2:   Fall 1983 Calculus Appetizer
  537.    wt: 2:   Appendix E. How To Study Mathematics and Why
  538.    wt: 2:   Appendix D. What to do in School and Why
  539.    wt: 2:   Chapter 31 Direct and Indirect Reason
  540.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  541.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  542.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  543.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  544.    wt: 2:   Chapter 20. Degrees and Radians
  545.    wt: 2:   Chapter 19. Functions and Sets
  546.    wt: 2:   Chapter 18. Rules for Algebra
  547.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  548.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  549.    wt: 2:   Chapter 12. Shorthand Usage Guide
  550.    wt: 2:   Chapter 11. Why Shorthand
  551.    wt: 2:   Chapter 10 Describing and Changing Calculations
  552.    wt: 2:   Chapter 8 Three Skills For Algebra
  553.    wt: 2:   Chapter 6 Change of Language
  554.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  555.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  556.    wt: 2:   Chapter 3 Algebra Difficulties
  557.    wt: 2:   Postscript B More on Story Telling and Reason
  558.    wt: 2:   Chapter 24 Direct and Indirect Reason
  559.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  560.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  561.    wt: 2:   Chapter 18 Sense and Knowledge
  562.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  563.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  564.    wt: 2:   Chapter 6 Chains of Reason
  565.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  566.    wt: 2:   Chapter 2 Skill Development
  567.    wt: 2:   Three Remarks
  568.    wt: 2:   S Adding words to algebra
  569.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  570.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  571.    wt: 2:   O On Learning Mathematics and Science
  572.    wt: 2:   N Improving Marks on Tests and Finals
  573.    wt: 2:   J. More on written work and showing skill
  574.    wt: 2:   I. Logic and language skills
  575.    wt: 2:   H Jigsaw puzzles and problem solving
  576.    wt: 2:   G. Written work formats for developing and showing skill
  577.    wt: 2:   F. The student teacher tutor feedback loop
  578.    wt: 2:   E. When and how to correct errors
  579.    wt: 2:   B. Domino effect of errors
  580.    wt: 2:   How to Build Skills and Confidence
  581.    wt: 2:   More Algebra and Slope based Calculus Preview
  582.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  583.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  584.    wt: 1:   Appendix 1 primary and preschool mathematic
  585.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  586.    wt: 1:   Ramblings Introduction Algebra Essay
  587.    wt: 1:   Skills Chapter 3 Algebra
  588.    wt: 1:   7 logic review and decimals an odd combination
  589.    wt: 1:   6 polynomials etc
  590.    wt: 1:   4 algebra
  591.    wt: 1:   2 arithmetic with signed numbers
  592.    wt: 1:   why bother
  593.    wt: 1:   Applied Maths Program14092009 POMME variant
  594.    wt: 1:   About site lesson plans
  595.    wt: 1:   key notes and themes
  596.    wt: 1:   what should be learnt and When
  597.    wt: 1:   talk the algebra talk
  598.    wt: 1:   teaching tips
  599.    wt: 1:   geometric implications for algebra
  600.    wt: 1:   teaching tutoring algebraic reason
  601.    wt: 1:   three goals for Mathematics Education
  602.    wt: 1:   02 21 words for teachers
  603.    wt: 1:   02 20 mathematics education references
  604.    wt: 1:   standards for course material
  605.    wt: 1:   Operational Viewpoint to Value
  606.    wt: 1:   Education in mathematics science and technology
  607.    wt: 1:   three kinds of reason in mathematics
  608.    wt: 1:   Prequel In For A Penny In For A Pound
  609.    wt: 1:   education an empirical art
  610.    wt: 1:   chapitre 06 00 Chaines de la raison
  611.    wt: 1:   chapitre 04 06 engagements
  612.    wt: 1:   chapitre 04 02 Deuxieme enigme
  613.    wt: 1:   chapitre 02 00 La Communication des idees
  614.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  615.    wt: 1:   logique deux enigme
  616.    wt: 1:   4 Energy Power Heat09
  617.    wt: 1:   3 Energy Power Heat08
  618.    wt: 1:   E Energy Power05
  619.    wt: 1:   D Energy Power04
  620.    wt: 1:   C Energy Power03
  621.    wt: 1:   A Energy Power01
  622.    wt: 1:   D Wire Resistance Calculation02
  623.    wt: 1:   B Wire Resistance Qualitative02
  624.    wt: 1:   H Series Circuit02
  625.    wt: 1:   E Kirchoffs Second Law
  626.    wt: 1:   C Electromotive force conventional current02
  627.    wt: 1:   Home Tutoring and Home Schooling
  628.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  629.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  630.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  631.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  632.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  633.    wt: 1:   22 Student Centered Highschool Mathematics
  634.    wt: 1:   17 Math Booklets for children and young teenagers
  635.    wt: 1:   14 Multiplication and Times Tables
  636.    wt: 1:   13 Addition and Addition Tables
  637.    wt: 1:   12 Goals and Objectives For Mathematics
  638.    wt: 1:   11 Help and Defend Your Child or Teens Education
  639.    wt: 1:   5 Patience Please for Yourself and Your Charges
  640.    wt: 1:   4 Learning Takes Time and Effort
  641.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  642.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  643.    wt: 1:   12 motivation for term arctan
  644.    wt: 1:   11 arctan left inverse of tangent Graph
  645.    wt: 1:   10 arctan left inverse of tangent Definition
  646.    wt: 1:   8 Radian Measures of Common Angles
  647.    wt: 1:   7 Radian Measures in special Triangles
  648.    wt: 1:   6 Radian Measure to Degrees
  649.    wt: 1:   5 Degrees to Radian Measure
  650.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  651.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  652.    wt: 1:   2 Radian Measure Numerical Value of one degree
  653.    wt: 1:   A Global Time and Navigation
  654.    wt: 1:   15 Dot and Cross Product
  655.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  656.    wt: 1:   6 Vectors with Coordinates
  657.    wt: 1:   Vector and Complex Number Applet
  658.    wt: 1:   4 graphing y=Asin(x c)
  659.    wt: 1:   3 graphing y=f(x c) plus K
  660.    wt: 1:   1 graphing y=f(x a)
  661.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  662.    wt: 1:   Triangle Angles Sum To 180 Degrees
  663.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  664.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  665.    wt: 1:   Straight Lines ASA Intersection Study More
  666.    wt: 1:   Straight Lines ASA Intersection Study
  667.    wt: 1:   Straight Lines Instersection Solving Equations
  668.    wt: 1:   Straight Lines Intersection of
  669.    wt: 1:   14 Straight Lines Equations General Case
  670.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  671.    wt: 1:   12 Straight Lines Graphing mx plus b
  672.    wt: 1:   11 Straight Lines Graphing y=mx
  673.    wt: 1:   10 Straight Lines through Origin Equations More
  674.    wt: 1:   9 Straight Lines through Origin Equations
  675.    wt: 1:   1 Straight Lines Slope Concept
  676.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  677.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  678.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  679.    wt: 1:   29 secant cosecant and cotangent for acute angles
  680.    wt: 1:   27 Logarithmic use of products of sines and cosines
  681.    wt: 1:   26 Formulas for products of sines and cosines
  682.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  683.    wt: 1:   20 sine and cosine Double Angle Formulas
  684.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  685.    wt: 1:   17E Trig Formulas for dot and cross Products
  686.    wt: 1:   17D cis formulas for sine cosines and tangent
  687.    wt: 1:   17C sine and cosine double triple angle formulas
  688.    wt: 1:   10 Graphs of sines and cosines many periods
  689.    wt: 1:   7 period of sine and cosine
  690.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  691.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  692.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  693.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  694.    wt: 1:   19 N th Roots of Unity
  695.    wt: 1:   18 Sixth Roots of Unity
  696.    wt: 1:   17 Cube Roots of unity
  697.    wt: 1:   16 References and Originality Question
  698.    wt: 1:   13 Trig Formulas for dot and cross Products
  699.    wt: 1:   12 cis formulas for sine cosines and tangent
  700.    wt: 1:   11 sine and cosine double triple angle formulas
  701.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  702.    wt: 1:   8 Similarity of Triangles and Polygons
  703.    wt: 1:   6 Geometric Diagrams in Class
  704.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  705.    wt: 1:   Four Simple Exercises
  706.    wt: 1:   12 Links Lessons elsewhere
  707.    wt: 1:   11 A Partial Summary
  708.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  709.    wt: 1:   8 Mid Point Formula
  710.    wt: 1:   4 Equations for lines three forms
  711.    wt: 1:   3 Slope product for perpendicular lines
  712.    wt: 1:   13 Pythagorean spatial distance formulas
  713.    wt: 1:   12 Spatial Coordinates
  714.    wt: 1:   11 Triangle Inequality
  715.    wt: 1:   10 Pythagorean plane distance formula
  716.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  717.    wt: 1:   8 Distance Between Points on a Line
  718.    wt: 1:   7 Complex Numbers Appetizer
  719.    wt: 1:   3 Rectangular Coordinates Review
  720.    wt: 1:   1 Cartesian Coordinates sans signs
  721.    wt: 1:   6 Figuring with Maps Not to Scale
  722.    wt: 1:   2 Measuring Area Directly
  723.    wt: 1:   arithmetic videos Real Player Format
  724.    wt: 1:   10 dividing signed numbers
  725.    wt: 1:   9 subtracting signed numbers
  726.    wt: 1:   8 multiplying signed numbers
  727.    wt: 1:   4 signed coordinates for regions in space
  728.    wt: 1:   D Remainders Modulo 11 Pair Rule
  729.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  730.    wt: 1:   B Integer Long Division Multiple Choices
  731.    wt: 1:   A Associative Law Theorectical Note
  732.    wt: 1:   13 Subtraction with Additive Inverse
  733.    wt: 1:   12 Adding Integers More Examples
  734.    wt: 1:   10 Integer Multiplication Formulas
  735.    wt: 1:   9 Multiplying Integers
  736.    wt: 1:   8 Multiplication by Signed Numbers Integers
  737.    wt: 1:   7 Multiplication by Signs
  738.    wt: 1:   4 Adding Movements wiht opposite directions
  739.    wt: 1:   3 Adding Movements with same direction
  740.    wt: 1:   1 Integers as Coordinates
  741.    wt: 1:   19 video Prime Factorization Unique
  742.    wt: 1:   18 video Count Factors given Prime Factorization
  743.    wt: 1:   16 video Factors of 980 using prime
  744.    wt: 1:   15 video Factors of 20 using Prime Factorization
  745.    wt: 1:   14 video Factors of 24 Take II
  746.    wt: 1:   13 video Factors of 24 using prime
  747.    wt: 1:   11 Efficient Square Rule Use
  748.    wt: 1:   10 video Prime Factorization upto 23 squared
  749.    wt: 1:   9 video Prime Factorization upto 19 squared
  750.    wt: 1:   8 video Prime Factorization upto 19
  751.    wt: 1:   4 video Prime Factorization Introduction
  752.    wt: 1:   1 video how Products are bigger than factor
  753.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  754.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  755.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  756.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  757.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  758.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  759.    wt: 1:   Formula Evaluation how to show work
  760.    wt: 1:   Expression Evaluation how to show work
  761.    wt: 1:   The 12 Times Table Visually
  762.    wt: 1:   About folder contents
  763.    wt: 1:   015 School and work day counting tables
  764.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  765.    wt: 1:   6 How long is a million seconds
  766.    wt: 1:   4 Mixing and Changing Units of Time
  767.    wt: 1:   3 Units and Lengths of Time
  768.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  769.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  770.    wt: 1:   Example 4 with x function of y
  771.    wt: 1:   Example 3
  772.    wt: 1:   Example 2
  773.    wt: 1:   Example 1
  774.    wt: 1:   Area Between Curves Lesson Take 2
  775.    wt: 1:   Area Between Curves Lesson Take 1
  776.    wt: 1:   Summary
  777.    wt: 1:   4 Definite Integrals Evaluation Exercises
  778.    wt: 1:   2 Indefinite Integrals Exercises
  779.    wt: 1:   1 Chain Rule in Reverse Integration Method
  780.    wt: 1:   2 Second derivative test prequel
  781.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  782.    wt: 1:   A Chain Rule Real Player video examples
  783.    wt: 1:   36 Cube root derivative animated
  784.    wt: 1:   34 Derivative of exponential function
  785.    wt: 1:   33 Chain Rule Real Player video examples
  786.    wt: 1:   31 Derivatives of inverse functions
  787.    wt: 1:   30Chain Rule A Proof
  788.    wt: 1:   25 Chain Rule Animated Examples Continued
  789.    wt: 1:   24 Chain Rule Animated Examples
  790.    wt: 1:   20 Chain Rule for Pulley Systems
  791.    wt: 1:   19 Chain Rule for linear functions
  792.    wt: 1:   18 Chain Rule Introduction
  793.    wt: 1:   12 Quotient rule examples
  794.    wt: 1:   3 Motivation for Limit Definition Take 2
  795.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  796.    wt: 1:   11 Limits at infinity Three Examples
  797.    wt: 1:   10 Three one sided limits with infinite values
  798.    wt: 1:   8 Four Animated Examples
  799.    wt: 1:   7 Evaluation by immediate or delayed substitution
  800.    wt: 1:   4 Numerical properties
  801.    wt: 1:   1 Numerical introduction
  802.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  803.    wt: 1:   E2 Algebraic Properties of Limits
  804.    wt: 1:   D2 Limits of Monotone Sequences
  805.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  806.    wt: 1:   PostScript For and Against Decimal Perspectives
  807.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  808.    wt: 1:   Chapter 23 Links To Trigonometry
  809.    wt: 1:   Chapter 22 Complex Numbers
  810.    wt: 1:   Chapter 21 Arrow Addition
  811.    wt: 1:   Chapter 18. Slopes Areas Integration
  812.    wt: 1:   Chapter 17. Area Approximation
  813.    wt: 1:   Chapter 16. Velocity Approximation
  814.    wt: 1:   Chapter 15. Slope Approximation
  815.    wt: 1:   Chapter 13. Acceleration
  816.    wt: 1:   Chapter 11. Graphing Slope versus Position
  817.    wt: 1:   Chapter 9 About First Courses in Calculus
  818.    wt: 1:   Chapter 8. Slope Interpretation
  819.    wt: 1:   Chapter 5. Slope Sign Tests
  820.    wt: 1:   Chapter 4. More Slope Sign Analysis
  821.    wt: 1:   Chapter 3. Slope Sign Analysis
  822.    wt: 1:   Chapter 1.Introduction
  823.    wt: 1:   Foreword
  824.    wt: 1:   Postscript More on Better Performance
  825.    wt: 1:   Postscript For Better Performance
  826.    wt: 1:   Appendix C. How to Read
  827.    wt: 1:   Appendix B. How To Learn
  828.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  829.    wt: 1:   Chapter 30 Truth Tables
  830.    wt: 1:   Chapter 28 Occurrence Tables
  831.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  832.    wt: 1:   Chapter 25. Mathematical Induction Examples
  833.    wt: 1:   Chapter 25. Mathematical Induction Examples
  834.    wt: 1:   Chapter 23. Notation For Sums
  835.    wt: 1:   Chapter 21. Third Reading Guide
  836.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  837.    wt: 1:   Chapter 16. Painless Theorem Proving
  838.    wt: 1:   Chapter 15. Solving Linear Equations
  839.    wt: 1:   Chapter 13. Second Reading Guide
  840.    wt: 1:   Postscript What is a Variable
  841.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  842.    wt: 1:   Solutions For Arithmetic Exercises
  843.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  844.    wt: 1:   Chapter 4 Longer Chains of Reason
  845.    wt: 1:   Chapter 3 Chains of Reason
  846.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  847.    wt: 1:   Foreword
  848.    wt: 1:   Annotated Links to Material Elsehwere
  849.    wt: 1:   Postscript B Mathematics Education References
  850.    wt: 1:   Postscript A Three Remarks
  851.    wt: 1:   Chapter 12 Four Phases
  852.    wt: 1:   Chapter 11 Elementary Instruction
  853.    wt: 1:   Chapter 10 Transition
  854.    wt: 1:   Chapter 9 The Two Ends
  855.    wt: 1:   Chapter 8 Modern Instruction
  856.    wt: 1:   Chapter 7 Two Treatments of Geometry
  857.    wt: 1:   Chapter 5 Four References
  858.    wt: 1:   Chapter 1 Introduction
  859.    wt: 1:   Foreword
  860.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  861.    wt: 1:   Postscript C Consistency as a Tool for Reason
  862.    wt: 1:   Postscript A Story Telling
  863.    wt: 1:   Chapter 23 Truth Tables
  864.    wt: 1:   Chapter 21 Occurrence Tables
  865.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  866.    wt: 1:   Chapter 15 Objective Processes
  867.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  868.    wt: 1:   Chapter 11 Accidental Patterns
  869.    wt: 1:   Chapter 10 Responsibility
  870.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  871.    wt: 1:   Chapter 8 Change of Language
  872.    wt: 1:   Chapter 7 Longer Chains of Reason
  873.    wt: 1:   Chapter 5 Deception
  874.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  875.    wt: 1:   Chapter 1 Introduction
  876.    wt: 1:   Foreword
  877.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  878.    wt: 1:   R Why Learn Mathematics Skills
  879.    wt: 1:   N Mathematics Prepare for College Studies
  880.    wt: 1:   M Words to extend arithmetic
  881.    wt: 1:   L Skills with take home value
  882.    wt: 1:   H more Routine to non routine problem solving
  883.    wt: 1:   D. Check work a must with a caution
  884.    wt: 1:   C. Domino effect of being careful
  885.    wt: 1:   A. Skill has to be seen to believed
  886.    wt: 1:   Helping the Blind in Logic and Mathematics
  887.    wt: 1:   Implementation Notes
  888.    wt: 1:   Systematic Algebra Skill Development Missing Links
  889.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  890.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  891.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  892.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  893.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  894.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  895.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  896.    wt: 10:   7 Formulas for Roots with Logarithms Derivation
  897.    wt: 10:   2 Square Root Simplification a prequel

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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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