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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53 matches:

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

Web Page Search

444 matches:

  1.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
  2.    wt: 5:   Chapter 4 Implication Rules Forwards and Backwards
  3.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  4.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  5.    wt: 4:   Long Division forwards and backwards Example 2
  6.    wt: 4:   Chapter 22 Contrapositive and Vacuously True Implications
  7.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  8.    wt: 3:   2 More and Less Than for Counts and Measures
  9.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  10.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  11.    wt: 3:   12 GCD 2700 288 via Prime
  12.    wt: 3:   Long Division forwards and backwards Example 3
  13.    wt: 3:   Long Division forwards and backwards Example 1
  14.    wt: 3:   Chapter 29 Contrapositive and Vacuously True Implications
  15.    wt: 3:   Chapter 22. Geometric Sums and Sequences
  16.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  17.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  18.    wt: 2:   02 21 words for teachers
  19.    wt: 2:   02 20 mathematics education references
  20.    wt: 2:   2 Conductance Resistance Duality02
  21.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  22.    wt: 2:   24 Standards For Skill Develoment Take II
  23.    wt: 2:   24 Standards For Skill Develoment
  24.    wt: 2:   22 Student Centered Highschool Mathematics
  25.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  26.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  27.    wt: 2:   12 Goals and Objectives For Mathematics
  28.    wt: 2:   2 Reading and Writing Skills
  29.    wt: 2:   26 Function definitions done and coming
  30.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  31.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  32.    wt: 2:   22 Square Root function graphically
  33.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  34.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  35.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  36.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  37.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  38.    wt: 2:   29 secant cosecant and cotangent for acute angles
  39.    wt: 2:   27 Logarithmic use of products of sines and cosines
  40.    wt: 2:   26 Formulas for products of sines and cosines
  41.    wt: 2:   21 sine and cosine Half Angle Formulas
  42.    wt: 2:   20 sine and cosine Double Angle Formulas
  43.    wt: 2:   14 cosine even and sine and tangent are odd
  44.    wt: 2:   21 Logarithms Powers and Exponentials
  45.    wt: 2:   12 cis formulas for sine cosines and tangent
  46.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  47.    wt: 2:   3 Lengths and Areas on Maps and Plans
  48.    wt: 2:   22 Multiplication of Signed Numbers
  49.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  50.    wt: 2:   2 Combing Counts Addition Skills and Principles
  51.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  52.    wt: 2:   6 Compound Interest Forward and Backwards
  53.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  54.    wt: 2:   2 Addition and Multiplication Axioms
  55.    wt: 2:   2 Computation Rules Evaluation
  56.    wt: 2:   2 More and Less Than with Unlike Signs
  57.    wt: 2:   1 More and Less Than for Counts and Measures
  58.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  59.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  60.    wt: 2:   2 Counting with Tables and Trees I
  61.    wt: 2:   2 signed and unsigned numbers as coordinates
  62.    wt: 2:   2 Equality and Units
  63.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  64.    wt: 2:   22 Complex Compound Fractions
  65.    wt: 2:   21 Reciprocals for Fractions and Wholes
  66.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  67.    wt: 2:   26 Divisibility by 2 3 5 Example
  68.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  69.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  70.    wt: 2:   23 Remainder Arithmetic Modulo 2
  71.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  72.    wt: 2:   12 LCD GCD and LCM using Primes
  73.    wt: 2:   2 Prime and Composites less than 16
  74.    wt: 2:   9 22 Minute Subtraction Review Video
  75.    wt: 2:   6. Counting and adding units and mixed units
  76.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  77.    wt: 2:   2 Time and Date Matters in School
  78.    wt: 2:   38 Formulas and derivatives for powers and roots
  79.    wt: 2:   22 Chain Rule for polynomials
  80.    wt: 2:   14 sine and cosine derivatives 2nd step
  81.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  82.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  83.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  84.    wt: 2:   Chapter 22 Complex Numbers
  85.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  86.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  87.    wt: 2:   Chapter 12. Units and Slopes
  88.    wt: 2:   Chapter 2. Slopes and Ski Trails
  89.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  90.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  91.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  92.    wt: 2:   Chapter 20. Degrees and Radians
  93.    wt: 2:   Chapter 12. Shorthand Usage Guide
  94.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  95.    wt: 2:   Chapter 2 For and Against Mathematics
  96.    wt: 2:   Chapter 24 Direct and Indirect Reason
  97.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  98.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  99.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  100.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  101.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  102.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  103.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  104.    wt: 1:   Appendix 2 primary school Arithmetic 01
  105.    wt: 1:   Appendix 1 primary and preschool mathematic
  106.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  107.    wt: 1:   Skills Chapter 2 Geometry
  108.    wt: 1:   7 logic review and decimals an odd combination
  109.    wt: 1:   5 logarithms and exponentials etc
  110.    wt: 1:   2 arithmetic with signed numbers
  111.    wt: 1:   Applied Maths Program14092009 POMME variant
  112.    wt: 1:   key notes and themes
  113.    wt: 1:   what should be learnt and When
  114.    wt: 1:   Postscript 2007 01 10
  115.    wt: 1:   geometric implications for algebra
  116.    wt: 1:   04 29 New Mathematics Curriculum
  117.    wt: 1:   04 25 when to stop or suspend mathemat
  118.    wt: 1:   standards for course material
  119.    wt: 1:   Education in mathematics science and technology
  120.    wt: 1:   Motivation and Context Problem
  121.    wt: 1:   fairness and inductive principles for instruction
  122.    wt: 1:   chapitre 12 00 les iles et division
  123.    wt: 1:   chapitre 04 05 Implication versus suggestion
  124.    wt: 1:   chapitre 04 02 Deuxieme enigme
  125.    wt: 1:   chapitre 04 00 Les regles d implication
  126.    wt: 1:   chapitre 02 00 La Communication des idees
  127.    wt: 1:   2 Energy Power Heat07
  128.    wt: 1:   B Energy Power02
  129.    wt: 1:   D Wire Resistance Calculation02
  130.    wt: 1:   B Wire Resistance Qualitative02
  131.    wt: 1:   2 Unlike resistors in parallel01
  132.    wt: 1:   H Series Circuit02
  133.    wt: 1:   C Electromotive force conventional current02
  134.    wt: 1:   Home Tutoring and Home Schooling
  135.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  136.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  137.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  138.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  139.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  140.    wt: 1:   17 Math Booklets for children and young teenagers
  141.    wt: 1:   14 Multiplication and Times Tables
  142.    wt: 1:   13 Addition and Addition Tables
  143.    wt: 1:   11 Help and Defend Your Child or Teens Education
  144.    wt: 1:   5 Patience Please for Yourself and Your Charges
  145.    wt: 1:   4 Learning Takes Time and Effort
  146.    wt: 1:   Ages 12 to 14 Skills with take home value
  147.    wt: 1:   Ages 12 to 14 Geometry
  148.    wt: 1:   Ages 12 to 14 Arithmetic
  149.    wt: 1:   Ages 10 to 12 Geometry
  150.    wt: 1:   Ages 10 to 12 Arithmetic
  151.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  152.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  153.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  154.    wt: 1:   sign monoticity analysis example 2
  155.    wt: 1:   23 Inverse Functions
  156.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  157.    wt: 1:   20 Interchanging coordinates a reflection
  158.    wt: 1:   19 Horizontal line rule and method
  159.    wt: 1:   18 Vertical Line Rule and Method
  160.    wt: 1:   17 Function maxima minima and their location
  161.    wt: 1:   12 Function Domain Recognition Exercises
  162.    wt: 1:   11 Function Domain Range Source and Targets
  163.    wt: 1:   8 Set view of relations and functions
  164.    wt: 1:   6 Set Existence Formation and Notation
  165.    wt: 1:   4 Function notation in and beyond mathematics
  166.    wt: 1:   2 Algebraic use of function notation
  167.    wt: 1:   9 quadratics physical and further context
  168.    wt: 1:   2 quadratics graphing in general
  169.    wt: 1:   11 Growth and Decay in Biology
  170.    wt: 1:   10 Exponential Growth and Decay Models
  171.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  172.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  173.    wt: 1:   2 Square Root Simplification a prequel
  174.    wt: 1:   2 Column Multiplication Method
  175.    wt: 1:   16 cotangent function Definition Graph and Inverse
  176.    wt: 1:   15 cosecant function Definition Graph and Inverse
  177.    wt: 1:   14 secant function Definition Graph and Inverse
  178.    wt: 1:   13 cosecant function Definition Graph and Inverse
  179.    wt: 1:   12 motivation for term arctan
  180.    wt: 1:   2 cosine function more properties
  181.    wt: 1:   9 Summary Degrees to Radians and back
  182.    wt: 1:   2 Radian Measure Numerical Value of one degree
  183.    wt: 1:   1 Degrees and Radians Introduction
  184.    wt: 1:   A Global Time and Navigation
  185.    wt: 1:   15 Dot and Cross Product
  186.    wt: 1:   12 From Applied To Pure Mathematics
  187.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  188.    wt: 1:   2 Signed Coordinates
  189.    wt: 1:   Vector and Complex Number Applet
  190.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  191.    wt: 1:   Parallel Lines and Parallel Transversals
  192.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  193.    wt: 1:   Parallel Lines and Interior Angles
  194.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  195.    wt: 1:   12 Straight Lines Graphing mx plus b
  196.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  197.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  198.    wt: 1:   32 seven rows of pascals triangle
  199.    wt: 1:   28 Expressing products of sines cosines as sums
  200.    wt: 1:   25 tangent double angle formula Slope connection
  201.    wt: 1:   24 tangent Angle Difference Formula
  202.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  203.    wt: 1:   17E Trig Formulas for dot and cross Products
  204.    wt: 1:   17D cis formulas for sine cosines and tangent
  205.    wt: 1:   17C sine and cosine double triple angle formulas
  206.    wt: 1:   12 Graph of tangent function for one period
  207.    wt: 1:   10 Graphs of sines and cosines many periods
  208.    wt: 1:   9 Graphs of sine and cosine over one period
  209.    wt: 1:   7 period of sine and cosine
  210.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  211.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  212.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  213.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  214.    wt: 1:   2 Quadrant I reference Angles
  215.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  216.    wt: 1:   20 N th Roots of Complex Numbers
  217.    wt: 1:   16 References and Originality Question
  218.    wt: 1:   13 Trig Formulas for dot and cross Products
  219.    wt: 1:   11 sine and cosine double triple angle formulas
  220.    wt: 1:   2 Complex Numbers made easier we hope
  221.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  222.    wt: 1:   3 Trigonometric Ratios sine and cosine
  223.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  224.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  225.    wt: 1:   12 Triangles Similarity More Problems
  226.    wt: 1:   8 Similarity of Triangles and Polygons
  227.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  228.    wt: 1:   2 Similarity By Design
  229.    wt: 1:   12 Links Lessons elsewhere
  230.    wt: 1:   10 Midpoint of [a b] and [b a]
  231.    wt: 1:   7 Exercises to test skill and concept mastery
  232.    wt: 1:   2 point slope equation for a line
  233.    wt: 1:   1 Numerical view of lines and their equations
  234.    wt: 1:   What is and is not here
  235.    wt: 1:   12 Spatial Coordinates
  236.    wt: 1:   6 Polar Multiplication and Rotation
  237.    wt: 1:   5 Cartesian Addition and Translation
  238.    wt: 1:   4 Polar Coordinates to and from
  239.    wt: 1:   2 Cartesian Coordinates with signs
  240.    wt: 1:   21 Parallelograms
  241.    wt: 1:   16 Angles Subtended By Chords and Diameters
  242.    wt: 1:   12 Side Angle Side Failure
  243.    wt: 1:   6 Ruler and compass Angle Bisection
  244.    wt: 1:   2 Correspondence between Triangles
  245.    wt: 1:   1 Initial Concepts and Terms
  246.    wt: 1:   2 Measuring Area Directly
  247.    wt: 1:   A Modular and Remainder Arithmetic
  248.    wt: 1:   26 More Less Greater Than Comparison
  249.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  250.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  251.    wt: 1:   23 Distributive Law Two Derivations
  252.    wt: 1:   21 Addition of Multiples of a Single Vector
  253.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  254.    wt: 1:   13 Arrows and Vectors in a Plane
  255.    wt: 1:   12 Real Numbers Line Signed Coordinates
  256.    wt: 1:   11 Signed Number Addition and Addition Properties
  257.    wt: 1:   8 Division and Mulplication of Compound Fractions
  258.    wt: 1:   2 Counting Digits in Decimal Multiplication
  259.    wt: 1:   B Decimal Comparison and Subtraction
  260.    wt: 1:   2 Fraction Operations Physical Development
  261.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  262.    wt: 1:   4 Rates Ratios and Proporitionality
  263.    wt: 1:   2 Algebraic View
  264.    wt: 1:   5 Triangle Area Formula Backwards
  265.    wt: 1:   2 Linear Equation Literal Solution
  266.    wt: 1:   6 Equations and Systems Equivalent or Implied
  267.    wt: 1:   4 Subtraction and Division Axioms
  268.    wt: 1:   1 Equivalent Computation Rules
  269.    wt: 1:   3 More and Less Than with Unlike Signs
  270.    wt: 1:   12 Real Number Additive Inverses or Negatives
  271.    wt: 1:   10 Real Number Lengths and Signs
  272.    wt: 1:   8 Coordinates for Maps and Planes
  273.    wt: 1:   2 Integers
  274.    wt: 1:   1 Whole and Natural Numbers
  275.    wt: 1:   3 Geometric Formulas and Function Notation
  276.    wt: 1:   1 Formulas Dependence and Function Notation
  277.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  278.    wt: 1:   3 GE III Equation Addition and Multiplication
  279.    wt: 1:   2 GE II Comparison
  280.    wt: 1:   2 Essentially one exercises three with solution
  281.    wt: 1:   2 Three Examples
  282.    wt: 1:   2 Three Examples
  283.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  284.    wt: 1:   2 Another Rectangle Area Formula Example
  285.    wt: 1:   1 Written work formats for developing and showing skill
  286.    wt: 1:   9 Sets in Probability and Statistics
  287.    wt: 1:   2 Venn Diagrams
  288.    wt: 1:   5 Talking about Numbers and Quantities
  289.    wt: 1:   4 A Brief Story of numbers and algebra
  290.    wt: 1:   2 What is a Variable
  291.    wt: 1:   2 Square Roots with Prime
  292.    wt: 1:   1 Squares and Square Roots Introduction
  293.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  294.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  295.    wt: 1:   7 GCD and LCM from prime factorization
  296.    wt: 1:   4 LCM of 8 and 10 via Prime
  297.    wt: 1:   2 Least Common Multiple LCM intro via list method
  298.    wt: 1:   3 Counting with Tables and Trees II
  299.    wt: 1:   1 Counting and Counting Methods I
  300.    wt: 1:   11 What are real lengths and numbers
  301.    wt: 1:   7 negative and additive inverse
  302.    wt: 1:   5 lengths and signs of numbers
  303.    wt: 1:   3 signed coordinates for maps and planes
  304.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  305.    wt: 1:   3 Multiplying Units and Numbers
  306.    wt: 1:   1 Addition and Subtraction with Units
  307.    wt: 1:   B Fractions and Two Term Ratios
  308.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  309.    wt: 1:   21 Working With Signs
  310.    wt: 1:   20 Dividing Fractions the Why
  311.    wt: 1:   17 Efficient Ways to Add and Subtract
  312.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  313.    wt: 1:   14 Adding and Subtracting with Like Denominators
  314.    wt: 1:   12 Fraction Comparison
  315.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  316.    wt: 1:   9 Improper Fractions and Mixed Numbers
  317.    wt: 1:   2 Unit Fraction Multiplication
  318.    wt: 1:   12 Adding Integers More Examples
  319.    wt: 1:   11 Adding Integers Formulas and Examples
  320.    wt: 1:   5 Zero Movement and Additive Inverses
  321.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  322.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  323.    wt: 1:   21 Remainder Arithmetic Modulo 3
  324.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  325.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  326.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  327.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  328.    wt: 1:   20 Uniqueness of Prime Factorization
  329.    wt: 1:   17 Identify and Count Factors using Primes
  330.    wt: 1:   15 video Factors of 20 using Prime Factorization
  331.    wt: 1:   14 video Factors of 24 Take II
  332.    wt: 1:   13 video Factors of 24 using prime
  333.    wt: 1:   10 video Prime Factorization upto 23 squared
  334.    wt: 1:   7 Calculator Usage Notes and Cautions
  335.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  336.    wt: 1:   5 Prime Factorization and a Square Rule
  337.    wt: 1:   3 video Primes and Composites from 9 times table
  338.    wt: 1:   Long Division Backwards more
  339.    wt: 1:   Division with Counts and Length
  340.    wt: 1:   12 Why Long Division Works Take III
  341.    wt: 1:   10 Division by Five Long and Short Ways
  342.    wt: 1:   4 Division with 2 Digit Divsors
  343.    wt: 1:   2 Division with Single Digit Divisors
  344.    wt: 1:   4 Two and Three Digit Multipliers
  345.    wt: 1:   2 One Digit Multipliers
  346.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  347.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  348.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  349.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  350.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  351.    wt: 1:   2 Subtraction Easy Case Examples
  352.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  353.    wt: 1:   8 What skills and work habits to require
  354.    wt: 1:   2 Decimal Counting Practices
  355.    wt: 1:   11 Place Value SI Standard International way
  356.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  357.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  358.    wt: 1:   Quick history of numbers and algebra
  359.    wt: 1:   Exact Arithmetic Wholes and Fractions
  360.    wt: 1:   The 20 Times Table
  361.    wt: 1:   The 12 Times Table Visually
  362.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  363.    wt: 1:   015 School and work day counting tables
  364.    wt: 1:   012 Division of Time Intervals by Time Intervals
  365.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  366.    wt: 1:   4 Mixing and Changing Units of Time
  367.    wt: 1:   3 Units and Lengths of Time
  368.    wt: 1:   Example 2 volume of a cone
  369.    wt: 1:   Example 1. Area Between x and x squared
  370.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  371.    wt: 1:   Example 2
  372.    wt: 1:   Area Between Curves Lesson Take 2
  373.    wt: 1:   2 Indefinite Integrals Exercises
  374.    wt: 1:   2 Second derivative test prequel
  375.    wt: 1:   29 Chain Rule Optional Reading
  376.    wt: 1:   28 Chain Rule Preparation for a Proof
  377.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  378.    wt: 1:   26 Chain Rule Recognising outer inner functions
  379.    wt: 1:   25 Chain Rule Animated Examples Continued
  380.    wt: 1:   24 Chain Rule Animated Examples
  381.    wt: 1:   23 Chain Rule in general
  382.    wt: 1:   21 Chain Rule for powers
  383.    wt: 1:   20 Chain Rule for Pulley Systems
  384.    wt: 1:   17 Derivatives of quotients of sine and cosine
  385.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  386.    wt: 1:   15 sine and cosine derivatives 3rd step
  387.    wt: 1:   13 sine and cosine derivatives 1st step
  388.    wt: 1:   12 Quotient rule examples
  389.    wt: 1:   3 Motivation for Limit Definition Take 2
  390.    wt: 1:   2 Motivation for Limit Definition Take 1
  391.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  392.    wt: 1:   9 Limits Continuity and Composition
  393.    wt: 1:   5 Jumps and absence of unlimited error control
  394.    wt: 1:   2 Algebraic codification
  395.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  396.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  397.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  398.    wt: 1:   F.2 Closed Range Theorem
  399.    wt: 1:   E2 Algebraic Properties of Limits
  400.    wt: 1:   D2 Limits of Monotone Sequences
  401.    wt: 1:   PostScript For and Against Decimal Perspectives
  402.    wt: 1:   Chapter 23 Links To Trigonometry
  403.    wt: 1:   Chapter 21 Arrow Addition
  404.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  405.    wt: 1:   Chapter 10 Slopes and Units
  406.    wt: 1:   Chapter 7 Slopes and Velocity
  407.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  408.    wt: 1:   Appendix E. How To Study Mathematics and Why
  409.    wt: 1:   Appendix D. What to do in School and Why
  410.    wt: 1:   Chapter 31 Direct and Indirect Reason
  411.    wt: 1:   Chapter 28 Occurrence Tables
  412.    wt: 1:   Chapter 25. Mathematical Induction Examples
  413.    wt: 1:   Chapter 25. Mathematical Induction Examples
  414.    wt: 1:   Chapter 23. Notation For Sums
  415.    wt: 1:   Chapter 21. Third Reading Guide
  416.    wt: 1:   Chapter 19. Functions and Sets
  417.    wt: 1:   Chapter 18. Rules for Algebra
  418.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  419.    wt: 1:   Chapter 11. Why Shorthand
  420.    wt: 1:   Chapter 10 Describing and Changing Calculations
  421.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  422.    wt: 1:   Chapter 12 Four Phases
  423.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  424.    wt: 1:   Postscript B More on Story Telling and Reason
  425.    wt: 1:   Chapter 23 Truth Tables
  426.    wt: 1:   Chapter 21 Occurrence Tables
  427.    wt: 1:   Chapter 18 Sense and Knowledge
  428.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  429.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  430.    wt: 1:   Chapter 2 Skill Development
  431.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  432.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  433.    wt: 1:   O On Learning Mathematics and Science
  434.    wt: 1:   N Improving Marks on Tests and Finals
  435.    wt: 1:   J. More on written work and showing skill
  436.    wt: 1:   I. Logic and language skills
  437.    wt: 1:   H Jigsaw puzzles and problem solving
  438.    wt: 1:   G. Written work formats for developing and showing skill
  439.    wt: 1:   E. When and how to correct errors
  440.    wt: 1:   How to Build Skills and Confidence
  441.    wt: 1:   Helping the Blind in Logic and Mathematics
  442.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  443.    wt: 1:   More Algebra and Slope based Calculus Preview
  444.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

883 matches:

  1.    wt: 8:   Long Division forwards and backwards Example 2
  2.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
  3.    wt: 7:   2 More and Less Than with Unlike Signs
  4.    wt: 7:   Long Division forwards and backwards Example 3
  5.    wt: 7:   9 22 Minute Subtraction Review Video
  6.    wt: 7:   2 Subtraction Easy Case Examples
  7.    wt: 7:   Chapter 22 Contrapositive and Vacuously True Implications
  8.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  9.    wt: 6:   2 Algebraic View
  10.    wt: 6:   1 More and Less Than for Counts and Measures
  11.    wt: 6:   16 GCD and LCM of 650 225 via Prime
  12.    wt: 6:   Long Division forwards and backwards Example 1
  13.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  14.    wt: 6:   4 Subtraction with Conversions Borrows and Letter J
  15.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
  16.    wt: 6:   1 Comparison and Subtraction Easy Direct Cases
  17.    wt: 6:   6. Counting and adding units and mixed units
  18.    wt: 6:   2 Decimal Counting Practices
  19.    wt: 6:   Chapter 22. Geometric Sums and Sequences
  20.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  21.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  22.    wt: 5:   2 Combing Counts Addition Skills and Principles
  23.    wt: 5:   4 Rates Ratios and Proporitionality
  24.    wt: 5:   2 More and Less Than for Counts and Measures
  25.    wt: 5:   2 Computation Rules Evaluation
  26.    wt: 5:   2 Three Examples
  27.    wt: 5:   10 Euclid Algorithm with 129 125 and with 45 14
  28.    wt: 5:   12 GCD 2700 288 via Prime
  29.    wt: 5:   22 Complex Compound Fractions
  30.    wt: 5:   21 Reciprocals for Fractions and Wholes
  31.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  32.    wt: 5:   Long Division Backwards more
  33.    wt: 5:   Long Division Backward
  34.    wt: 5:   12 Why Long Division Works Take III
  35.    wt: 5:   2 Division with Single Digit Divisors
  36.    wt: 5:   2 One Digit Multipliers
  37.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  38.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  39.    wt: 5:   Video Power Notation in Decimal Expansion
  40.    wt: 5:   Appendix 1 Decimals Comparison Method Take II
  41.    wt: 5:   Subtraction with J Conversions Example
  42.    wt: 5:   Subtraction Another Video Lesson
  43.    wt: 5:   8 Subtraction with Units of Measure
  44.    wt: 5:   7 Subtraction for Decimal Fractions with Exercises
  45.    wt: 5:   6 Subtraction with Conversion Example with Exercises
  46.    wt: 5:   5 A Tip for Efficent Subtraction
  47.    wt: 5:   8 What skills and work habits to require
  48.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
  49.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  50.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  51.    wt: 4:   22 Student Centered Highschool Mathematics
  52.    wt: 4:   22 Square Root function graphically
  53.    wt: 4:   2 Square Root Simplification a prequel
  54.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  55.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  56.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  57.    wt: 4:   PS B Parallelogram Construction Methods
  58.    wt: 4:   21 Parallelograms
  59.    wt: 4:   12 Side Angle Side Failure
  60.    wt: 4:   2 Correspondence between Triangles
  61.    wt: 4:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  62.    wt: 4:   5 Proportionality in Equivalent Fractions
  63.    wt: 4:   3 Proportionality Examples
  64.    wt: 4:   1 What is Proportionality
  65.    wt: 4:   9 Circle Area and Perimeter Formula Backwards Forwards
  66.    wt: 4:   2 Addition and Multiplication Axioms
  67.    wt: 4:   3 Geometric Formulas and Function Notation
  68.    wt: 4:   1 Formulas Dependence and Function Notation
  69.    wt: 4:   2 Essentially one exercises three with solution
  70.    wt: 4:   2 Three Examples
  71.    wt: 4:   4 Greater More Less Than Signs in General
  72.    wt: 4:   3 Comparison of Negative Numbers
  73.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  74.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  75.    wt: 4:   2 Counting with Tables and Trees I
  76.    wt: 4:   2 signed and unsigned numbers as coordinates
  77.    wt: 4:   2 Equality and Units
  78.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  79.    wt: 4:   21 Working With Signs
  80.    wt: 4:   20 Dividing Fractions the Why
  81.    wt: 4:   2 Unit Fraction Multiplication
  82.    wt: 4:   26 Divisibility by 2 3 5 Example
  83.    wt: 4:   25 Divisibility Tests for 2 3 5 9 10 Example
  84.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  85.    wt: 4:   23 Remainder Arithmetic Modulo 2
  86.    wt: 4:   22 Remainder Arithmetic Modulo 3 more
  87.    wt: 4:   2 Remainder Arithmetic Modulo 10 more
  88.    wt: 4:   12 LCD GCD and LCM using Primes
  89.    wt: 4:   2 Prime and Composites less than 16
  90.    wt: 4:   Division with Counts and Length
  91.    wt: 4:   10 Division by Five Long and Short Ways
  92.    wt: 4:   4 Division with 2 Digit Divsors
  93.    wt: 4:   4 Two and Three Digit Multipliers
  94.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  95.    wt: 4:   7 Adding decimal fractions using decimal point
  96.    wt: 4:   5. How to add decimals C. Examples
  97.    wt: 4:   4. How to add with decimals B with conversions
  98.    wt: 4:   3. How to add with decimals A sans conversions
  99.    wt: 4:   1. Explaining Addition Table
  100.    wt: 4:   Example 1. Area Between x and x squared
  101.    wt: 4:   Chapter 22 Complex Numbers
  102.    wt: 4:   Chapter 27 Shorthand Symbols as Pronouns
  103.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  104.    wt: 4:   Chapter 24. Personal Investment and Pension EGS
  105.    wt: 4:   Chapter 20. Degrees and Radians
  106.    wt: 4:   Chapter 12. Shorthand Usage Guide
  107.    wt: 4:   Chapter 2 For and Against Mathematics
  108.    wt: 4:   Chapter 24 Direct and Indirect Reason
  109.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  110.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  111.    wt: 3:   2 arithmetic with signed numbers
  112.    wt: 3:   02 21 words for teachers
  113.    wt: 3:   02 20 mathematics education references
  114.    wt: 3:   B Energy Power02
  115.    wt: 3:   2 Conductance Resistance Duality02
  116.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  117.    wt: 3:   24 Standards For Skill Develoment Take II
  118.    wt: 3:   24 Standards For Skill Develoment
  119.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  120.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  121.    wt: 3:   12 Goals and Objectives For Mathematics
  122.    wt: 3:   2 Reading and Writing Skills
  123.    wt: 3:   26 Function definitions done and coming
  124.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  125.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  126.    wt: 3:   11 Growth and Decay in Biology
  127.    wt: 3:   10 Exponential Growth and Decay Models
  128.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  129.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  130.    wt: 3:   9 Summary Degrees to Radians and back
  131.    wt: 3:   4 graphing y=Asin(x c)
  132.    wt: 3:   3 graphing y=f(x c) plus K
  133.    wt: 3:   1 graphing y=f(x a)
  134.    wt: 3:   Parallel Lines and Interior Angles
  135.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  136.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  137.    wt: 3:   C Straight Lines Slope from Coordinates
  138.    wt: 3:   B Straight Line Slope Scaling Properties More
  139.    wt: 3:   A Straight Line Slope Scaling Properties
  140.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  141.    wt: 3:   12 Straight Lines Graphing mx plus b
  142.    wt: 3:   11 Straight Lines Graphing y=mx
  143.    wt: 3:   8 Straight Lines Equation for vertical
  144.    wt: 3:   7 Tangent Function is odd on this domain
  145.    wt: 3:   5 Tangent Function Graph
  146.    wt: 3:   4 Tangent Function Properties
  147.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  148.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  149.    wt: 3:   29 secant cosecant and cotangent for acute angles
  150.    wt: 3:   27 Logarithmic use of products of sines and cosines
  151.    wt: 3:   26 Formulas for products of sines and cosines
  152.    wt: 3:   21 sine and cosine Half Angle Formulas
  153.    wt: 3:   21 Logarithms Powers and Exponentials
  154.    wt: 3:   12 cis formulas for sine cosines and tangent
  155.    wt: 3:   12 Links Lessons elsewhere
  156.    wt: 3:   2 point slope equation for a line
  157.    wt: 3:   12 Spatial Coordinates
  158.    wt: 3:   2 Cartesian Coordinates with signs
  159.    wt: 3:   PS H Distributive Law For Complex Numbers
  160.    wt: 3:   PS G Rotation Distributes over Addition
  161.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  162.    wt: 3:   PS E Multiplication with Polar Coordinates
  163.    wt: 3:   PS D Addition with Cartesian Coordinates
  164.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  165.    wt: 3:   PS A Kite Construction Methods
  166.    wt: 3:   16 Angles Subtended By Chords and Diameters
  167.    wt: 3:   6 Ruler and compass Angle Bisection
  168.    wt: 3:   1 Initial Concepts and Terms
  169.    wt: 3:   22 Multiplication of Signed Numbers
  170.    wt: 3:   21 Addition of Multiples of a Single Vector
  171.    wt: 3:   14 Vector Head to Tail Sums and Resultants
  172.    wt: 3:   13 Arrows and Vectors in a Plane
  173.    wt: 3:   12 Real Numbers Line Signed Coordinates
  174.    wt: 3:   11 Signed Number Addition and Addition Properties
  175.    wt: 3:   B Decimal Comparison and Subtraction
  176.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  177.    wt: 3:   6 Compound Interest Forward and Backwards
  178.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  179.    wt: 3:   6 Equations and Systems Equivalent or Implied
  180.    wt: 3:   4 Subtraction and Division Axioms
  181.    wt: 3:   1 Equivalent Computation Rules
  182.    wt: 3:   3 More and Less Than with Unlike Signs
  183.    wt: 3:   12 Real Number Additive Inverses or Negatives
  184.    wt: 3:   10 Real Number Lengths and Signs
  185.    wt: 3:   5 Independent versus Dependent Variables
  186.    wt: 3:   4 Changing Letters
  187.    wt: 3:   2 GE II Comparison
  188.    wt: 3:   6 Algebraic Solution Example
  189.    wt: 3:   5 Algebraic Solutions Introduction
  190.    wt: 3:   4 Four Examples Fractional Coefficients
  191.    wt: 3:   3 Four Examples
  192.    wt: 3:   1 Proper Equal Sign Usage
  193.    wt: 3:   12 Cone Cylinder Sphere Lesson Idea
  194.    wt: 3:   2 Another Rectangle Area Formula Example
  195.    wt: 3:   1 Written work formats for developing and showing skill
  196.    wt: 3:   2 Square Roots with Prime
  197.    wt: 3:   1 Squares and Square Roots Introduction
  198.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  199.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  200.    wt: 3:   8 GCD from Euclidean Algorithm
  201.    wt: 3:   7 GCD and LCM from prime factorization
  202.    wt: 3:   4 LCM of 8 and 10 via Prime
  203.    wt: 3:   2 Least Common Multiple LCM intro via list method
  204.    wt: 3:   3 Counting with Tables and Trees II
  205.    wt: 3:   1 Counting and Counting Methods I
  206.    wt: 3:   3 signed coordinates for maps and planes
  207.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  208.    wt: 3:   3 Multiplying Units and Numbers
  209.    wt: 3:   1 Addition and Subtraction with Units
  210.    wt: 3:   B Fractions and Two Term Ratios
  211.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  212.    wt: 3:   19 Dividing Fractions How TO
  213.    wt: 3:   17 Efficient Ways to Add and Subtract
  214.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  215.    wt: 3:   14 Adding and Subtracting with Like Denominators
  216.    wt: 3:   12 Fraction Comparison
  217.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  218.    wt: 3:   9 Improper Fractions and Mixed Numbers
  219.    wt: 3:   12 Adding Integers More Examples
  220.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  221.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  222.    wt: 3:   21 Remainder Arithmetic Modulo 3
  223.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  224.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  225.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  226.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  227.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  228.    wt: 3:   5 Remainder Arithmetic Modulo 5
  229.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  230.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  231.    wt: 3:   1 Remainder Arithmetic Modulo 10
  232.    wt: 3:   20 Uniqueness of Prime Factorization
  233.    wt: 3:   11 Another Single Digit Divisor Example
  234.    wt: 3:   9 Why Long Division Works Take II
  235.    wt: 3:   8 Correcting the Mistake
  236.    wt: 3:   7 Long Divison Mistake Catching
  237.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  238.    wt: 3:   5 Long Division Include Zeroes or not
  239.    wt: 3:   3 Division Single Digit Divisor Example
  240.    wt: 3:   1 Divsion Physical Examples
  241.    wt: 3:   D Decimal Multiplication Methods Derived
  242.    wt: 3:   C Counting Areas with Powers of Ten
  243.    wt: 3:   B Powers of Ten
  244.    wt: 3:   A Elementary Basis for Multiplication Methods
  245.    wt: 3:   6 Multiplication Commutes Order Not Important
  246.    wt: 3:   5 Decimal Fraction Multiplication
  247.    wt: 3:   3 More One Digit Multipliers
  248.    wt: 3:   1 Why 3 times 5 gives 15
  249.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  250.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  251.    wt: 3:   The 20 Times Table
  252.    wt: 3:   Example 2 volume of a cone
  253.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  254.    wt: 3:   Example 3
  255.    wt: 3:   Example 2
  256.    wt: 3:   Area Between Curves Lesson Take 2
  257.    wt: 3:   38 Formulas and derivatives for powers and roots
  258.    wt: 3:   22 Chain Rule for polynomials
  259.    wt: 3:   21 Chain Rule for powers
  260.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  261.    wt: 3:   14 sine and cosine derivatives 2nd step
  262.    wt: 3:   4 Sum Rule
  263.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  264.    wt: 3:   2 Algebraic codification
  265.    wt: 3:   .H2 Lipshitz Conditions Integration Calculus Reform
  266.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  267.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  268.    wt: 3:   Chapter 12. Units and Slopes
  269.    wt: 3:   Chapter 2. Slopes and Ski Trails
  270.    wt: 3:   Chapter 28 Occurrence Tables
  271.    wt: 3:   Chapter 25. Mathematical Induction Examples
  272.    wt: 3:   Chapter 25. Mathematical Induction Examples
  273.    wt: 3:   Chapter 23. Notation For Sums
  274.    wt: 3:   Chapter 21. Third Reading Guide
  275.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  276.    wt: 3:   Chapter 12 Four Phases
  277.    wt: 3:   Postscript B More on Story Telling and Reason
  278.    wt: 3:   Chapter 23 Truth Tables
  279.    wt: 3:   Chapter 21 Occurrence Tables
  280.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  281.    wt: 3:   Chapter 2 Skill Development
  282.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  283.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  284.    wt: 2:   Skills Chapter 2 Geometry
  285.    wt: 2:   7 logic review and decimals an odd combination
  286.    wt: 2:   5 logarithms and exponentials etc
  287.    wt: 2:   Applied Maths Program14092009 POMME variant
  288.    wt: 2:   geometric implications for algebra
  289.    wt: 2:   Lessening Algebra Difficulties
  290.    wt: 2:   the trouble with algebra
  291.    wt: 2:   three goals for Mathematics Education
  292.    wt: 2:   04 29 New Mathematics Curriculum
  293.    wt: 2:   04 25 when to stop or suspend mathemat
  294.    wt: 2:   fairness and inductive principles for instruction
  295.    wt: 2:   2 Energy Power Heat07
  296.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  297.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  298.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  299.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  300.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  301.    wt: 2:   Ages 12 to 14 Skills with take home value
  302.    wt: 2:   Ages 12 to 14 Geometry
  303.    wt: 2:   Ages 12 to 14 Arithmetic
  304.    wt: 2:   sign monoticity analysis example 2
  305.    wt: 2:   23 Inverse Functions
  306.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  307.    wt: 2:   20 Interchanging coordinates a reflection
  308.    wt: 2:   12 Function Domain Recognition Exercises
  309.    wt: 2:   2 Algebraic use of function notation
  310.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  311.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  312.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  313.    wt: 2:   5 Natural Logarithm Calculator Exercises
  314.    wt: 2:   1 Calculator Starter Exercises
  315.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  316.    wt: 2:   16 cotangent function Definition Graph and Inverse
  317.    wt: 2:   15 cosecant function Definition Graph and Inverse
  318.    wt: 2:   14 secant function Definition Graph and Inverse
  319.    wt: 2:   13 cosecant function Definition Graph and Inverse
  320.    wt: 2:   12 motivation for term arctan
  321.    wt: 2:   2 Radian Measure Numerical Value of one degree
  322.    wt: 2:   1 Degrees and Radians Introduction
  323.    wt: 2:   12 From Applied To Pure Mathematics
  324.    wt: 2:   2 Signed Coordinates
  325.    wt: 2:   Parallel Lines and Parallel Transversals
  326.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  327.    wt: 2:   Straight Lines ASA Intersection Study More
  328.    wt: 2:   14 Straight Lines Equations General Case
  329.    wt: 2:   10 Straight Lines through Origin Equations More
  330.    wt: 2:   9 Straight Lines through Origin Equations
  331.    wt: 2:   1 Straight Lines Slope Concept
  332.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  333.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  334.    wt: 2:   28 Expressing products of sines cosines as sums
  335.    wt: 2:   25 tangent double angle formula Slope connection
  336.    wt: 2:   24 tangent Angle Difference Formula
  337.    wt: 2:   20 sine and cosine Double Angle Formulas
  338.    wt: 2:   14 cosine even and sine and tangent are odd
  339.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  340.    wt: 2:   20 N th Roots of Complex Numbers
  341.    wt: 2:   2 Complex Numbers made easier we hope
  342.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  343.    wt: 2:   3 Trigonometric Ratios sine and cosine
  344.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  345.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  346.    wt: 2:   12 Triangles Similarity More Problems
  347.    wt: 2:   2 Similarity By Design
  348.    wt: 2:   10 Midpoint of [a b] and [b a]
  349.    wt: 2:   7 Exercises to test skill and concept mastery
  350.    wt: 2:   1 Numerical view of lines and their equations
  351.    wt: 2:   What is and is not here
  352.    wt: 2:   6 Polar Multiplication and Rotation
  353.    wt: 2:   5 Cartesian Addition and Translation
  354.    wt: 2:   4 Polar Coordinates to and from
  355.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  356.    wt: 2:   19 Right Triangle Similarity
  357.    wt: 2:   18 Triangle Similarity Take 1
  358.    wt: 2:   17 Right Bisectors of Triangle Sides
  359.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  360.    wt: 2:   14 Parallel Lines Postulate
  361.    wt: 2:   13 Angle Side Angle Failure
  362.    wt: 2:   11 Triangle Construction Fails
  363.    wt: 2:   10 Dropping a perpendicular to line
  364.    wt: 2:   9 Construction of a right bisector
  365.    wt: 2:   8 Isoceles Triangles
  366.    wt: 2:   7 Angle Side Angle
  367.    wt: 2:   5 Side Angle Side
  368.    wt: 2:   4 Side Side Side
  369.    wt: 2:   3 Isometry of Triangles Congruence
  370.    wt: 2:   Short Course on Euclidean Geometry
  371.    wt: 2:   3 Lengths and Areas on Maps and Plans
  372.    wt: 2:   A Modular and Remainder Arithmetic
  373.    wt: 2:   26 More Less Greater Than Comparison
  374.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  375.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  376.    wt: 2:   23 Distributive Law Two Derivations
  377.    wt: 2:   19 Signed Multiples of Vectors
  378.    wt: 2:   18 Geometrically Why Vector Addition Commutes
  379.    wt: 2:   17 Arrows Rotate to Reverse with Length Unchanged
  380.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  381.    wt: 2:   15 Head to Tails in place Addition Associative
  382.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  383.    wt: 2:   8 Division and Mulplication of Compound Fractions
  384.    wt: 2:   2 Counting Digits in Decimal Multiplication
  385.    wt: 2:   E Long Division Methods more
  386.    wt: 2:   D Long Division Methods
  387.    wt: 2:   C Three Decimal Subtraction Methods
  388.    wt: 2:   A Decimal Addition Columm Methods
  389.    wt: 2:   8 Column Multiplication Methods in General
  390.    wt: 2:   7 Decimals Multiplication Methods Examples
  391.    wt: 2:   6 Column Methods for Decimal Multiplication
  392.    wt: 2:   5 Distributive Law for Whole Numbers
  393.    wt: 2:   4 Commutative Law Groups Counting Form
  394.    wt: 2:   3 Multiplicative Counting Skills Principles
  395.    wt: 2:   1 The Counting Origins of Numbers
  396.    wt: 2:   2 Fraction Operations Physical Development
  397.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  398.    wt: 2:   5 Triangle Area Formula Backwards
  399.    wt: 2:   2 Linear Equation Literal Solution
  400.    wt: 2:   5 Equality in Algebra
  401.    wt: 2:   3 Product Axioms Two Forms
  402.    wt: 2:   5 Greater More Less Than Signs in General
  403.    wt: 2:   4 Comparison of Negative Numbers
  404.    wt: 2:   1 Real Numbers Comparison
  405.    wt: 2:   16 Real Numbers Comparison
  406.    wt: 2:   15 Real Number Division
  407.    wt: 2:   14 Real Number Multiplication
  408.    wt: 2:   13 Real Number Subtraction
  409.    wt: 2:   11 Real Number Addition
  410.    wt: 2:   8 Coordinates for Maps and Planes
  411.    wt: 2:   2 Integers
  412.    wt: 2:   1 Whole and Natural Numbers
  413.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  414.    wt: 2:   3 GE III Equation Addition and Multiplication
  415.    wt: 2:   4 Solving a triangular system exercise
  416.    wt: 2:   3 Solving triangular system example
  417.    wt: 2:   1 Essentially One Unknown
  418.    wt: 2:   Skill Development Notes
  419.    wt: 2:   10 One Example
  420.    wt: 2:   9 Three Examples
  421.    wt: 2:   8 One Example
  422.    wt: 2:   7 Two Examples
  423.    wt: 2:   6 Three Examples
  424.    wt: 2:   5 Three Examples
  425.    wt: 2:   4 Two Examples
  426.    wt: 2:   3 Two Examples
  427.    wt: 2:   13 Naming Identifying Formulas with Words
  428.    wt: 2:   11 Volume of Sphere
  429.    wt: 2:   10 Volume of Pyramid
  430.    wt: 2:   9 Volume of Cone
  431.    wt: 2:   8 Compound Interest Formula Evaluation
  432.    wt: 2:   7 Compound Interest Formula Introduction
  433.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  434.    wt: 2:   5 Box Volume Formula Example
  435.    wt: 2:   4 Circle Area Formula Example
  436.    wt: 2:   3 Triangle Area Formula Example
  437.    wt: 2:   9 Sets in Probability and Statistics
  438.    wt: 2:   2 Venn Diagrams
  439.    wt: 2:   5 Talking about Numbers and Quantities
  440.    wt: 2:   4 A Brief Story of numbers and algebra
  441.    wt: 2:   2 What is a Variable
  442.    wt: 2:   5 Square Roots with primes more still
  443.    wt: 2:   4 Square Roots with primes more
  444.    wt: 2:   3 Properties of Square Roots with example
  445.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  446.    wt: 2:   13 GCD from given Prime Factorization
  447.    wt: 2:   6 GCD from Prime
  448.    wt: 2:   5 Common Divisors 60 45 via Prime
  449.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  450.    wt: 2:   1 Least Common Multiples LCM Introduction
  451.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  452.    wt: 2:   4 Counting with Trees Product Rule Take I
  453.    wt: 2:   11 What are real lengths and numbers
  454.    wt: 2:   7 negative and additive inverse
  455.    wt: 2:   5 lengths and signs of numbers
  456.    wt: 2:   7 Converting or Changing Units
  457.    wt: 2:   6 Simplification of Fractions with Units
  458.    wt: 2:   4 Fractions with Units
  459.    wt: 2:   D Three Term Ratios
  460.    wt: 2:   18 Efficient Ways to Multiply
  461.    wt: 2:   16 Addition Subtraction Comparision Compared
  462.    wt: 2:   13 Fraction Comparison Algebraic View
  463.    wt: 2:   11 Simplification an Algebraic View
  464.    wt: 2:   8 Numerals Fractionals Quantals Take II
  465.    wt: 2:   7 Numerals Fractionals Quantals
  466.    wt: 2:   6 Multiplication Algebraically Take II
  467.    wt: 2:   5 Equivalent Fractions
  468.    wt: 2:   4 Fraction Multiplication
  469.    wt: 2:   3 Unit fraction of a fraction
  470.    wt: 2:   1 What is a fraction Take II
  471.    wt: 2:   1 What is a fraction
  472.    wt: 2:   13 Subtraction with Additive Inverse
  473.    wt: 2:   11 Adding Integers Formulas and Examples
  474.    wt: 2:   5 Zero Movement and Additive Inverses
  475.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  476.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  477.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  478.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  479.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  480.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  481.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  482.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  483.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  484.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  485.    wt: 2:   17 Identify and Count Factors using Primes
  486.    wt: 2:   15 video Factors of 20 using Prime Factorization
  487.    wt: 2:   14 video Factors of 24 Take II
  488.    wt: 2:   13 video Factors of 24 using prime
  489.    wt: 2:   10 video Prime Factorization upto 23 squared
  490.    wt: 2:   7 Calculator Usage Notes and Cautions
  491.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  492.    wt: 2:   5 Prime Factorization and a Square Rule
  493.    wt: 2:   3 video Primes and Composites from 9 times table
  494.    wt: 2:   11 Place Value SI Standard International way
  495.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  496.    wt: 2:   Quick history of numbers and algebra
  497.    wt: 2:   Exact Arithmetic Wholes and Fractions
  498.    wt: 2:   The 12 Times Table Visually
  499.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  500.    wt: 2:   2 Time and Date Matters in School
  501.    wt: 2:   Example 1 volume of a pyramid
  502.    wt: 2:   Volume of Solid by Cross Sections Lesson
  503.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  504.    wt: 2:   Example 4 with x function of y
  505.    wt: 2:   Example 1
  506.    wt: 2:   Area Between Curves Lesson Take 1
  507.    wt: 2:   Summary
  508.    wt: 2:   A Chain Rule Real Player video examples
  509.    wt: 2:   30Chain Rule A Proof
  510.    wt: 2:   29 Chain Rule Optional Reading
  511.    wt: 2:   28 Chain Rule Preparation for a Proof
  512.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  513.    wt: 2:   26 Chain Rule Recognising outer inner functions
  514.    wt: 2:   25 Chain Rule Animated Examples Continued
  515.    wt: 2:   24 Chain Rule Animated Examples
  516.    wt: 2:   23 Chain Rule in general
  517.    wt: 2:   20 Chain Rule for Pulley Systems
  518.    wt: 2:   17 Derivatives of quotients of sine and cosine
  519.    wt: 2:   15 sine and cosine derivatives 3rd step
  520.    wt: 2:   13 sine and cosine derivatives 1st step
  521.    wt: 2:   12 Quotient rule examples
  522.    wt: 2:   11 Quotient rule
  523.    wt: 2:   10 Power rule for negative integers
  524.    wt: 2:   9 Reciprocal rule
  525.    wt: 2:   8 Differentiation of polynomials
  526.    wt: 2:   7 Animated Differentiation Examples
  527.    wt: 2:   6 Power rule from product rule
  528.    wt: 2:   5 Product Rule
  529.    wt: 2:   3 Motivation for Limit Definition Take 2
  530.    wt: 2:   2 Motivation for Limit Definition Take 1
  531.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  532.    wt: 2:   11 Limits at infinity Three Examples
  533.    wt: 2:   9 Limits Continuity and Composition
  534.    wt: 2:   5 Jumps and absence of unlimited error control
  535.    wt: 2:   3 Decimal insights for limits continuity convergence
  536.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  537.    wt: 2:   Chapter 23 Links To Trigonometry
  538.    wt: 2:   Chapter 21 Arrow Addition
  539.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  540.    wt: 2:   Appendix E. How To Study Mathematics and Why
  541.    wt: 2:   Appendix D. What to do in School and Why
  542.    wt: 2:   Appendix B. How To Learn
  543.    wt: 2:   Chapter 31 Direct and Indirect Reason
  544.    wt: 2:   Chapter 19. Functions and Sets
  545.    wt: 2:   Chapter 18. Rules for Algebra
  546.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  547.    wt: 2:   Chapter 11. Why Shorthand
  548.    wt: 2:   Chapter 10 Describing and Changing Calculations
  549.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  550.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  551.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  552.    wt: 2:   Postscript C Consistency as a Tool for Reason
  553.    wt: 2:   Postscript A Story Telling
  554.    wt: 2:   Chapter 18 Sense and Knowledge
  555.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  556.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  557.    wt: 2:   Three Remarks
  558.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  559.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  560.    wt: 2:   O On Learning Mathematics and Science
  561.    wt: 2:   L Skills with take home value
  562.    wt: 2:   N Improving Marks on Tests and Finals
  563.    wt: 2:   J. More on written work and showing skill
  564.    wt: 2:   I. Logic and language skills
  565.    wt: 2:   H Jigsaw puzzles and problem solving
  566.    wt: 2:   G. Written work formats for developing and showing skill
  567.    wt: 2:   E. When and how to correct errors
  568.    wt: 2:   B. Domino effect of errors
  569.    wt: 2:   How to Build Skills and Confidence
  570.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  571.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  572.    wt: 1:   Appendix 2 primary school Arithmetic 01
  573.    wt: 1:   Appendix 1 primary and preschool mathematic
  574.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  575.    wt: 1:   11 pure mathematics
  576.    wt: 1:   10 statistics
  577.    wt: 1:   9 combinatorics probability sets
  578.    wt: 1:   8 analytic geometry etc
  579.    wt: 1:   6 polynomials etc
  580.    wt: 1:   4 algebra
  581.    wt: 1:   3 Euclidean Geometry Leanly
  582.    wt: 1:   1 arithmetic with unsigned numbers
  583.    wt: 1:   What is POMME
  584.    wt: 1:   why bother
  585.    wt: 1:   About site lesson plans
  586.    wt: 1:   key notes and themes
  587.    wt: 1:   learning takes time
  588.    wt: 1:   what should be learnt and When
  589.    wt: 1:   Postscript 2007 01 10
  590.    wt: 1:   Maps Plans Drawings
  591.    wt: 1:   how letters appear
  592.    wt: 1:   Secondary Three Mathematics
  593.    wt: 1:   Secondary Two Mathematics
  594.    wt: 1:   Secondary One Mathematics
  595.    wt: 1:   talk the algebra talk
  596.    wt: 1:   three difficulties
  597.    wt: 1:   teaching tips
  598.    wt: 1:   What to Tell Students
  599.    wt: 1:   mathematics curriculum shifts
  600.    wt: 1:   teaching tutoring algebraic reason
  601.    wt: 1:   05 13 OldSiteEntrancePage
  602.    wt: 1:   three aims for mathematics students
  603.    wt: 1:   standards for course material
  604.    wt: 1:   Education in mathematics science and technology
  605.    wt: 1:   three kinds of reason in mathematics
  606.    wt: 1:   Motivation and Context Problem
  607.    wt: 1:   Prequel In For A Penny In For A Pound
  608.    wt: 1:   education an empirical art
  609.    wt: 1:   chapitre 12 00 les iles et division
  610.    wt: 1:   chapitre 04 05 Implication versus suggestion
  611.    wt: 1:   chapitre 04 02 Deuxieme enigme
  612.    wt: 1:   chapitre 04 00 Les regles d implication
  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:   4 Energy Power Heat09
  616.    wt: 1:   3 Energy Power Heat08
  617.    wt: 1:   1 Energy Power Heat06
  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:   3 Like resistors in parallel
  625.    wt: 1:   2 Unlike resistors in parallel01
  626.    wt: 1:   H Series Circuit02
  627.    wt: 1:   C Electromotive force conventional current02
  628.    wt: 1:   Home Tutoring and Home Schooling
  629.    wt: 1:   17 Math Booklets for children and young teenagers
  630.    wt: 1:   14 Multiplication and Times Tables
  631.    wt: 1:   13 Addition and Addition Tables
  632.    wt: 1:   11 Help and Defend Your Child or Teens Education
  633.    wt: 1:   5 Patience Please for Yourself and Your Charges
  634.    wt: 1:   4 Learning Takes Time and Effort
  635.    wt: 1:   Ages 10 to 12 Geometry
  636.    wt: 1:   Ages 10 to 12 Arithmetic
  637.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  638.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  639.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  640.    wt: 1:   19 Horizontal line rule and method
  641.    wt: 1:   18 Vertical Line Rule and Method
  642.    wt: 1:   17 Function maxima minima and their location
  643.    wt: 1:   11 Function Domain Range Source and Targets
  644.    wt: 1:   8 Set view of relations and functions
  645.    wt: 1:   6 Set Existence Formation and Notation
  646.    wt: 1:   4 Function notation in and beyond mathematics
  647.    wt: 1:   9 quadratics physical and further context
  648.    wt: 1:   2 quadratics graphing in general
  649.    wt: 1:   2 Column Multiplication Method
  650.    wt: 1:   11 arctan left inverse of tangent Graph
  651.    wt: 1:   10 arctan left inverse of tangent Definition
  652.    wt: 1:   2 cosine function more properties
  653.    wt: 1:   8 Radian Measures of Common Angles
  654.    wt: 1:   7 Radian Measures in special Triangles
  655.    wt: 1:   6 Radian Measure to Degrees
  656.    wt: 1:   5 Degrees to Radian Measure
  657.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  658.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  659.    wt: 1:   A Global Time and Navigation
  660.    wt: 1:   15 Dot and Cross Product
  661.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  662.    wt: 1:   Vector and Complex Number Applet
  663.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  664.    wt: 1:   Triangle Angles Sum To 180 Degrees
  665.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  666.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  667.    wt: 1:   Straight Lines ASA Intersection Study
  668.    wt: 1:   Straight Lines Instersection Solving Equations
  669.    wt: 1:   Straight Lines Intersection of
  670.    wt: 1:   32 seven rows of pascals triangle
  671.    wt: 1:   30 unit circle calculation of six trigonometric functions
  672.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  673.    wt: 1:   17E Trig Formulas for dot and cross Products
  674.    wt: 1:   17D cis formulas for sine cosines and tangent
  675.    wt: 1:   17C sine and cosine double triple angle formulas
  676.    wt: 1:   12 Graph of tangent function for one period
  677.    wt: 1:   10 Graphs of sines and cosines many periods
  678.    wt: 1:   9 Graphs of sine and cosine over one period
  679.    wt: 1:   7 period of sine and cosine
  680.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  681.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  682.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  683.    wt: 1:   2 Quadrant I reference Angles
  684.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  685.    wt: 1:   16 References and Originality Question
  686.    wt: 1:   13 Trig Formulas for dot and cross Products
  687.    wt: 1:   11 sine and cosine double triple angle formulas
  688.    wt: 1:   8 Triangles Cascade Problem Solving
  689.    wt: 1:   7 Trignometric Ratios Unit Circle
  690.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  691.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  692.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  693.    wt: 1:   8 Similarity of Triangles and Polygons
  694.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  695.    wt: 1:   4 Similarity Definition with Coordinate
  696.    wt: 1:   Four Simple Exercises
  697.    wt: 1:   11 A Partial Summary
  698.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  699.    wt: 1:   8 Mid Point Formula
  700.    wt: 1:   6 Intersection of lines by solving linear systems
  701.    wt: 1:   5 Algebraic View of Slopes
  702.    wt: 1:   4 Equations for lines three forms
  703.    wt: 1:   3 Slope product for perpendicular lines
  704.    wt: 1:   13 Pythagorean spatial distance formulas
  705.    wt: 1:   11 Triangle Inequality
  706.    wt: 1:   10 Pythagorean plane distance formula
  707.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  708.    wt: 1:   8 Distance Between Points on a Line
  709.    wt: 1:   7 Complex Numbers Appetizer
  710.    wt: 1:   3 Rectangular Coordinates Review
  711.    wt: 1:   1 Cartesian Coordinates sans signs
  712.    wt: 1:   2 Measuring Area Directly
  713.    wt: 1:   musings do not puiblish real numbers
  714.    wt: 1:   A Signed Number Arithmetic Review
  715.    wt: 1:   9 Division with Digits after Decimal Point
  716.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  717.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  718.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  719.    wt: 1:   4 Location of Point in Decimal Addition
  720.    wt: 1:   3 Location of Point in Decimal Multiplication
  721.    wt: 1:   1 Fractions with Finite Decimal Expansions
  722.    wt: 1:   5 Areas of Rectangles Revisited
  723.    wt: 1:   4 Fraction Operations Axiomatic Development
  724.    wt: 1:   3 Inequalities Algebraically
  725.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  726.    wt: 1:   3 Linear Equation Literal Solution More
  727.    wt: 1:   1 Changing Calculations
  728.    wt: 1:   9 Coordinates for Regions in Space
  729.    wt: 1:   7 Real Numbers as Line Cordinates
  730.    wt: 1:   6 Unsigned Real Numbers
  731.    wt: 1:   5 Rational Numbers More
  732.    wt: 1:   4 Rational Numbers
  733.    wt: 1:   3 Fractions
  734.    wt: 1:   More Exercises
  735.    wt: 1:   Simple Exercises
  736.    wt: 1:   4 GE III Animated Examples
  737.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  738.    wt: 1:   1 GE Substitution four examples
  739.    wt: 1:   Using Letters for Physical Quantities
  740.    wt: 1:   Formula Usage Show Work Format
  741.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  742.    wt: 1:   8 Sets of Numbers
  743.    wt: 1:   7 Cautious or Safe Set Construction
  744.    wt: 1:   6 Power Set Notation
  745.    wt: 1:   5 Product Builder Notation
  746.    wt: 1:   4 Subset Builder Notation
  747.    wt: 1:   3 Counting with Sets etc
  748.    wt: 1:   1 Finite Sets
  749.    wt: 1:   6 Three Notions of What is a Variable
  750.    wt: 1:   3 Adding Words To Arithmetic
  751.    wt: 1:   1 Three Skills For Algebra
  752.    wt: 1:   About Folder Contents
  753.    wt: 1:   arithmetic videos Real Player Format
  754.    wt: 1:   10 dividing signed numbers
  755.    wt: 1:   9 subtracting signed numbers
  756.    wt: 1:   8 multiplying signed numbers
  757.    wt: 1:   6 adding signed numbers
  758.    wt: 1:   4 signed coordinates for regions in space
  759.    wt: 1:   D Remainders Modulo 11 Pair Rule
  760.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  761.    wt: 1:   B Integer Long Division Multiple Choices
  762.    wt: 1:   A Associative Law Theorectical Note
  763.    wt: 1:   10 Integer Multiplication Formulas
  764.    wt: 1:   9 Multiplying Integers
  765.    wt: 1:   8 Multiplication by Signed Numbers Integers
  766.    wt: 1:   7 Multiplication by Signs
  767.    wt: 1:   6 Multiplication by Natural Numbers
  768.    wt: 1:   4 Adding Movements wiht opposite directions
  769.    wt: 1:   3 Adding Movements with same direction
  770.    wt: 1:   1 Integers as Coordinates
  771.    wt: 1:   19 video Prime Factorization Unique
  772.    wt: 1:   18 video Count Factors given Prime Factorization
  773.    wt: 1:   16 video Factors of 980 using prime
  774.    wt: 1:   11 Efficient Square Rule Use
  775.    wt: 1:   9 video Prime Factorization upto 19 squared
  776.    wt: 1:   8 video Prime Factorization upto 19
  777.    wt: 1:   4 video Prime Factorization Introduction
  778.    wt: 1:   1 video how Products are bigger than factor
  779.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  780.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  781.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  782.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  783.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  784.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  785.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  786.    wt: 1:   Formula Evaluation how to show work
  787.    wt: 1:   Expression Evaluation how to show work
  788.    wt: 1:   About folder contents
  789.    wt: 1:   015 School and work day counting tables
  790.    wt: 1:   012 Division of Time Intervals by Time Intervals
  791.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  792.    wt: 1:   4 Mixing and Changing Units of Time
  793.    wt: 1:   3 Units and Lengths of Time
  794.    wt: 1:   2 Indefinite Integrals Exercises
  795.    wt: 1:   1 Chain Rule in Reverse Integration Method
  796.    wt: 1:   2 Second derivative test prequel
  797.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  798.    wt: 1:   36 Cube root derivative animated
  799.    wt: 1:   34 Derivative of exponential function
  800.    wt: 1:   33 Chain Rule Real Player video examples
  801.    wt: 1:   31 Derivatives of inverse functions
  802.    wt: 1:   19 Chain Rule for linear functions
  803.    wt: 1:   18 Chain Rule Introduction
  804.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  805.    wt: 1:   10 Three one sided limits with infinite values
  806.    wt: 1:   8 Four Animated Examples
  807.    wt: 1:   7 Evaluation by immediate or delayed substitution
  808.    wt: 1:   6 Continuity at a point
  809.    wt: 1:   4 Numerical properties
  810.    wt: 1:   1 Numerical introduction
  811.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  812.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  813.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  814.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  815.    wt: 1:   F.4 Finite Covering Theorem
  816.    wt: 1:   F.2 Closed Range Theorem
  817.    wt: 1:   E2 Algebraic Properties of Limits
  818.    wt: 1:   D2 Limits of Monotone Sequences
  819.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  820.    wt: 1:   PostScript For and Against Decimal Perspectives
  821.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  822.    wt: 1:   Chapter 10 Slopes and Units
  823.    wt: 1:   Chapter 7 Slopes and Velocity
  824.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  825.    wt: 1:   Fall 1983 Calculus Appetizer
  826.    wt: 1:   Postscript More on Better Performance
  827.    wt: 1:   Postscript For Better Performance
  828.    wt: 1:   Appendix C. How to Read
  829.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  830.    wt: 1:   Chapter 30 Truth Tables
  831.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  832.    wt: 1:   Chapter 16. Painless Theorem Proving
  833.    wt: 1:   Chapter 15. Solving Linear Equations
  834.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  835.    wt: 1:   Chapter 13. Second Reading Guide
  836.    wt: 1:   Postscript What is a Variable
  837.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  838.    wt: 1:   Chapter 8 Three Skills For Algebra
  839.    wt: 1:   Solutions For Arithmetic Exercises
  840.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  841.    wt: 1:   Chapter 6 Change of Language
  842.    wt: 1:   Chapter 4 Longer Chains of Reason
  843.    wt: 1:   Chapter 3 Chains of Reason
  844.    wt: 1:   Foreword
  845.    wt: 1:   Annotated Links to Material Elsehwere
  846.    wt: 1:   Postscript B Mathematics Education References
  847.    wt: 1:   Postscript A Three Remarks
  848.    wt: 1:   Chapter 11 Elementary Instruction
  849.    wt: 1:   Chapter 10 Transition
  850.    wt: 1:   Chapter 9 The Two Ends
  851.    wt: 1:   Chapter 8 Modern Instruction
  852.    wt: 1:   Chapter 7 Two Treatments of Geometry
  853.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  854.    wt: 1:   Chapter 5 Four References
  855.    wt: 1:   Chapter 3 Algebra Difficulties
  856.    wt: 1:   Chapter 1 Introduction
  857.    wt: 1:   Foreword
  858.    wt: 1:   Chapter 15 Objective Processes
  859.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  860.    wt: 1:   Chapter 11 Accidental Patterns
  861.    wt: 1:   Chapter 10 Responsibility
  862.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  863.    wt: 1:   Chapter 8 Change of Language
  864.    wt: 1:   Chapter 7 Longer Chains of Reason
  865.    wt: 1:   Chapter 6 Chains of Reason
  866.    wt: 1:   Chapter 5 Deception
  867.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  868.    wt: 1:   Chapter 1 Introduction
  869.    wt: 1:   Foreword
  870.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  871.    wt: 1:   S Adding words to algebra
  872.    wt: 1:   R Why Learn Mathematics Skills
  873.    wt: 1:   N Mathematics Prepare for College Studies
  874.    wt: 1:   M Words to extend arithmetic
  875.    wt: 1:   H more Routine to non routine problem solving
  876.    wt: 1:   F. The student teacher tutor feedback loop
  877.    wt: 1:   D. Check work a must with a caution
  878.    wt: 1:   C. Domino effect of being careful
  879.    wt: 1:   A. Skill has to be seen to believed
  880.    wt: 1:   Helping the Blind in Logic and Mathematics
  881.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  882.    wt: 1:   More Algebra and Slope based Calculus Preview
  883.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

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7 Axioms Logic and Equivalent Equations
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10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
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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.

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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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