Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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 12+: 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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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62 matches:

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

Web Page Search

592 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   26 Formulas for products of sines and cosines
  3.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
  4.    wt: 4:   12 cis formulas for sine cosines and tangent
  5.    wt: 4:   2 More and Less Than for Counts and Measures
  6.    wt: 4:   1 Three Skills For Algebra
  7.    wt: 4:   38 Formulas and derivatives for powers and roots
  8.    wt: 4:   Chapter 22. Geometric Sums and Sequences
  9.    wt: 4:   Chapter 8 Three Skills For Algebra
  10.    wt: 3:   02 21 words for teachers
  11.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  12.    wt: 3:   24 Standards For Skill Develoment Take II
  13.    wt: 3:   24 Standards For Skill Develoment
  14.    wt: 3:   12 Goals and Objectives For Mathematics
  15.    wt: 3:   2 Reading and Writing Skills
  16.    wt: 3:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  17.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  18.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  19.    wt: 3:   29 secant cosecant and cotangent for acute angles
  20.    wt: 3:   21 sine and cosine Half Angle Formulas
  21.    wt: 3:   20 sine and cosine Double Angle Formulas
  22.    wt: 3:   17E Trig Formulas for dot and cross Products
  23.    wt: 3:   17D cis formulas for sine cosines and tangent
  24.    wt: 3:   13 Trig Formulas for dot and cross Products
  25.    wt: 3:   4 Equations for lines three forms
  26.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  27.    wt: 3:   2 Combing Counts Addition Skills and Principles
  28.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  29.    wt: 3:   1 Written work formats for developing and showing skill
  30.    wt: 3:   1 More and Less Than for Counts and Measures
  31.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  32.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  33.    wt: 3:   12 GCD 2700 288 via Prime
  34.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  35.    wt: 3:   21 Reciprocals for Fractions and Wholes
  36.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  37.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  38.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  39.    wt: 3:   Long Division forwards and backwards Example 2
  40.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  41.    wt: 3:   22 Chain Rule for polynomials
  42.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  43.    wt: 3:   Chapter 23. Notation For Sums
  44.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  45.    wt: 3:   Chapter 2 Implication Rules Forwards and Backwards
  46.    wt: 3:   Chapter 2 For and Against Mathematics
  47.    wt: 3:   Chapter 22 Contrapositive and Vacuously True Implications
  48.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  49.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  50.    wt: 3:   G. Written work formats for developing and showing skill
  51.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  52.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  53.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  54.    wt: 2:   Skills Chapter 3 Algebra
  55.    wt: 2:   Skills Chapter 2 Geometry
  56.    wt: 2:   three goals to set for students
  57.    wt: 2:   geometric implications for algebra
  58.    wt: 2:   three goals for Mathematics Education
  59.    wt: 2:   02 20 mathematics education references
  60.    wt: 2:   three aims for mathematics students
  61.    wt: 2:   standards for course material
  62.    wt: 2:   formal or informal peer review
  63.    wt: 2:   Prequel In For A Penny In For A Pound
  64.    wt: 2:   fairness and inductive principles for instruction
  65.    wt: 2:   2 Conductance Resistance Duality02
  66.    wt: 2:   C Electromotive force conventional current02
  67.    wt: 2:   22 Student Centered Highschool Mathematics
  68.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  69.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  70.    wt: 2:   17 Math Booklets for children and young teenagers
  71.    wt: 2:   5 Patience Please for Yourself and Your Charges
  72.    wt: 2:   4 Learning Takes Time and Effort
  73.    wt: 2:   Ages 12 to 14 Skills with take home value
  74.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  75.    wt: 2:   26 Function definitions done and coming
  76.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  77.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  78.    wt: 2:   22 Square Root function graphically
  79.    wt: 2:   6 Set Existence Formation and Notation
  80.    wt: 2:   5 Function notation for geometric transformations
  81.    wt: 2:   2 Algebraic use of function notation
  82.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  83.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  84.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  85.    wt: 2:   12 motivation for term arctan
  86.    wt: 2:   9 Summary Degrees to Radians and back
  87.    wt: 2:   17 tangent function angle sum formulas
  88.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  89.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  90.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   28 Expressing products of sines cosines as sums
  92.    wt: 2:   27 Logarithmic use of products of sines and cosines
  93.    wt: 2:   25 tangent double angle formula Slope connection
  94.    wt: 2:   24 tangent Angle Difference Formula
  95.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  96.    wt: 2:   17C sine and cosine double triple angle formulas
  97.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  98.    wt: 2:   14 cosine even and sine and tangent are odd
  99.    wt: 2:   12 Graph of tangent function for one period
  100.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  101.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  102.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  103.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  104.    wt: 2:   21 Logarithms Powers and Exponentials
  105.    wt: 2:   11 sine and cosine double triple angle formulas
  106.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  107.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  108.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  109.    wt: 2:   2 point slope equation for a line
  110.    wt: 2:   3 Lengths and Areas on Maps and Plans
  111.    wt: 2:   22 Multiplication of Signed Numbers
  112.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  113.    wt: 2:   2 Algebraic View
  114.    wt: 2:   6 Compound Interest Forward and Backwards
  115.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  116.    wt: 2:   2 Addition and Multiplication Axioms
  117.    wt: 2:   8 Coordinates for Maps and Planes
  118.    wt: 2:   3 Geometric Formulas and Function Notation
  119.    wt: 2:   1 Formulas Dependence and Function Notation
  120.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  121.    wt: 2:   2 Essentially one exercises three with solution
  122.    wt: 2:   2 Three Examples
  123.    wt: 2:   2 Three Examples
  124.    wt: 2:   Formula Usage Show Work Format
  125.    wt: 2:   2 Another Rectangle Area Formula Example
  126.    wt: 2:   4 A Brief Story of numbers and algebra
  127.    wt: 2:   2 More and Less Than with Unlike Signs
  128.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  129.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  130.    wt: 2:   2 Counting with Tables and Trees I
  131.    wt: 2:   3 signed coordinates for maps and planes
  132.    wt: 2:   2 signed and unsigned numbers as coordinates
  133.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  134.    wt: 2:   2 Equality and Units
  135.    wt: 2:   22 Complex Compound Fractions
  136.    wt: 2:   11 Adding Integers Formulas and Examples
  137.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  138.    wt: 2:   26 Divisibility by 2 3 5 Example
  139.    wt: 2:   23 Remainder Arithmetic Modulo 2
  140.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  141.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  142.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  143.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  144.    wt: 2:   12 LCD GCD and LCM using Primes
  145.    wt: 2:   2 Prime and Composites less than 16
  146.    wt: 2:   Long Division forwards and backwards Example 3
  147.    wt: 2:   Long Division forwards and backwards Example 1
  148.    wt: 2:   4 Two and Three Digit Multipliers
  149.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  150.    wt: 2:   9 22 Minute Subtraction Review Video
  151.    wt: 2:   8 What skills and work habits to require
  152.    wt: 2:   6. Counting and adding units and mixed units
  153.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  154.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  155.    wt: 2:   Quick history of numbers and algebra
  156.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  157.    wt: 2:   2 Time and Date Matters in School
  158.    wt: 2:   28 Chain Rule Preparation for a Proof
  159.    wt: 2:   21 Chain Rule for powers
  160.    wt: 2:   20 Chain Rule for Pulley Systems
  161.    wt: 2:   14 sine and cosine derivatives 2nd step
  162.    wt: 2:   3 Motivation for Limit Definition Take 2
  163.    wt: 2:   2 Motivation for Limit Definition Take 1
  164.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  165.    wt: 2:   2 Algebraic codification
  166.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  167.    wt: 2:   E2 Algebraic Properties of Limits
  168.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  169.    wt: 2:   PostScript For and Against Decimal Perspectives
  170.    wt: 2:   Chapter 24 Logarithms Powers and Exponentials
  171.    wt: 2:   Chapter 22 Complex Numbers
  172.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  173.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  174.    wt: 2:   Chapter 12. Units and Slopes
  175.    wt: 2:   Chapter 2. Slopes and Ski Trails
  176.    wt: 2:   Postscript For Better Performance
  177.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  178.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  179.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  180.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  181.    wt: 2:   Chapter 20. Degrees and Radians
  182.    wt: 2:   Chapter 18. Rules for Algebra
  183.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  184.    wt: 2:   Chapter 12. Shorthand Usage Guide
  185.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  186.    wt: 2:   Chapter 24 Direct and Indirect Reason
  187.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  188.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  189.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  190.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  191.    wt: 2:   I. Logic and language skills
  192.    wt: 2:   How to Build Skills and Confidence
  193.    wt: 2:   Chapter 6 More Algebra and Geometry
  194.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  195.    wt: 2:   7 Games and Activities for Instruction
  196.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  197.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  198.    wt: 2:   More Algebra and Slope based Calculus Preview
  199.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  200.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  201.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  202.    wt: 2:   The Math Forum and Site Content
  203.    wt: 1:   Appendix 2 primary school Arithmetic 01
  204.    wt: 1:   Appendix 1 primary and preschool mathematic
  205.    wt: 1:   G LAMP Introduction Problem Solving Skills
  206.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  207.    wt: 1:   Skills Chapter 5 Calculus
  208.    wt: 1:   Skills Chapter 4 Logic
  209.    wt: 1:   Ramblings Introduction Algebra Essay
  210.    wt: 1:   Skills Chapter 1 Arithmetic
  211.    wt: 1:   Skills Chapter 0 Introduction
  212.    wt: 1:   7 logic review and decimals an odd combination
  213.    wt: 1:   5 logarithms and exponentials etc
  214.    wt: 1:   4 algebra
  215.    wt: 1:   2 arithmetic with signed numbers
  216.    wt: 1:   permissions for teachers
  217.    wt: 1:   Applied Maths Program14092009 POMME variant
  218.    wt: 1:   activities for students
  219.    wt: 1:   key notes and themes
  220.    wt: 1:   grouping students according to ability
  221.    wt: 1:   what should be learnt and When
  222.    wt: 1:   Postscript 2007 01 10
  223.    wt: 1:   Education Reform Inconsistencies
  224.    wt: 1:   Secondary Three Mathematics
  225.    wt: 1:   talk the algebra talk
  226.    wt: 1:   three difficulties
  227.    wt: 1:   teaching tutoring algebraic reason
  228.    wt: 1:   Lessening Algebra Difficulties
  229.    wt: 1:   the trouble with algebra
  230.    wt: 1:   04 29 New Mathematics Curriculum
  231.    wt: 1:   04 25 when to stop or suspend mathemat
  232.    wt: 1:   Education in mathematics science and technology
  233.    wt: 1:   three kinds of reason in mathematics
  234.    wt: 1:   Four ways to improve education reform
  235.    wt: 1:   Motivation and Context Problem
  236.    wt: 1:   need for a mixed mathematics curriculum
  237.    wt: 1:   words for mathematics instructor
  238.    wt: 1:   chapitre 12 00 les iles et division
  239.    wt: 1:   chapitre 04 02 Deuxieme enigme
  240.    wt: 1:   chapitre 02 00 La Communication des idees
  241.    wt: 1:   2 Energy Power Heat07
  242.    wt: 1:   B Energy Power02
  243.    wt: 1:   D Wire Resistance Calculation02
  244.    wt: 1:   B Wire Resistance Qualitative02
  245.    wt: 1:   2 Unlike resistors in parallel01
  246.    wt: 1:   H Series Circuit02
  247.    wt: 1:   B Electromotive force conventional current01
  248.    wt: 1:   Home Tutoring and Home Schooling
  249.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  250.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  251.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  252.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  253.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  254.    wt: 1:   15 Counting For Parents
  255.    wt: 1:   14 Multiplication and Times Tables
  256.    wt: 1:   13 Addition and Addition Tables
  257.    wt: 1:   11 Help and Defend Your Child or Teens Education
  258.    wt: 1:   10 Ends values for work study instruction
  259.    wt: 1:   3 Preparing for Science Studies
  260.    wt: 1:   1 Speaking Skills
  261.    wt: 1:   Ages 12 to 14 Geometry
  262.    wt: 1:   Ages 12 to 14 Arithmetic
  263.    wt: 1:   Ages 10 to 12 Geometry
  264.    wt: 1:   Ages 10 to 12 Arithmetic
  265.    wt: 1:   sign monoticity analysis example 2
  266.    wt: 1:   23 Inverse Functions
  267.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  268.    wt: 1:   20 Interchanging coordinates a reflection
  269.    wt: 1:   19 Horizontal line rule and method
  270.    wt: 1:   18 Vertical Line Rule and Method
  271.    wt: 1:   17 Function maxima minima and their location
  272.    wt: 1:   12 Function Domain Recognition Exercises
  273.    wt: 1:   11 Function Domain Range Source and Targets
  274.    wt: 1:   8 Set view of relations and functions
  275.    wt: 1:   4 Function notation in and beyond mathematics
  276.    wt: 1:   3 Formula or function graphing exercise
  277.    wt: 1:   A Quadratics Summary
  278.    wt: 1:   9 quadratics physical and further context
  279.    wt: 1:   8 quadratics backward use of various formulas
  280.    wt: 1:   7 quadratic formulla derivation
  281.    wt: 1:   2 quadratics graphing in general
  282.    wt: 1:   11 Growth and Decay in Biology
  283.    wt: 1:   10 Exponential Growth and Decay Models
  284.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  285.    wt: 1:   2 Square Root Simplification a prequel
  286.    wt: 1:   8 Notes for instructors or tutors
  287.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  288.    wt: 1:   2 Column Multiplication Method
  289.    wt: 1:   Rewriting algebraic substitution as function substitutions
  290.    wt: 1:   16 cotangent function Definition Graph and Inverse
  291.    wt: 1:   15 cosecant function Definition Graph and Inverse
  292.    wt: 1:   14 secant function Definition Graph and Inverse
  293.    wt: 1:   13 cosecant function Definition Graph and Inverse
  294.    wt: 1:   9 motivation for name arcsin
  295.    wt: 1:   4 possible motivation for term arccos
  296.    wt: 1:   2 cosine function more properties
  297.    wt: 1:   2 Radian Measure Numerical Value of one degree
  298.    wt: 1:   1 Degrees and Radians Introduction
  299.    wt: 1:   A Global Time and Navigation
  300.    wt: 1:   15 Dot and Cross Product
  301.    wt: 1:   12 From Applied To Pure Mathematics
  302.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  303.    wt: 1:   4 Resultant of a Sum of Movements
  304.    wt: 1:   2 Signed Coordinates
  305.    wt: 1:   Vector and Complex Number Applet
  306.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  307.    wt: 1:   Parallel Lines and Parallel Transversals
  308.    wt: 1:   Triangle Angles Sum To 180 Degrees
  309.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  310.    wt: 1:   Parallel Lines and Interior Angles
  311.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  312.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  313.    wt: 1:   12 Straight Lines Graphing mx plus b
  314.    wt: 1:   8 Straight Lines Equation for vertical
  315.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  316.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  317.    wt: 1:   32 seven rows of pascals triangle
  318.    wt: 1:   18 sum of sinusoidal waves as a single wave
  319.    wt: 1:   10 Graphs of sines and cosines many periods
  320.    wt: 1:   9 Graphs of sine and cosine over one period
  321.    wt: 1:   7 period of sine and cosine
  322.    wt: 1:   2 Quadrant I reference Angles
  323.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  324.    wt: 1:   20 N th Roots of Complex Numbers
  325.    wt: 1:   16 References and Originality Question
  326.    wt: 1:   2 Complex Numbers made easier we hope
  327.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  328.    wt: 1:   3 Trigonometric Ratios sine and cosine
  329.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  330.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  331.    wt: 1:   12 Triangles Similarity More Problems
  332.    wt: 1:   8 Similarity of Triangles and Polygons
  333.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  334.    wt: 1:   2 Similarity By Design
  335.    wt: 1:   12 Links Lessons elsewhere
  336.    wt: 1:   11 A Partial Summary
  337.    wt: 1:   10 Midpoint of [a b] and [b a]
  338.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  339.    wt: 1:   8 Mid Point Formula
  340.    wt: 1:   7 Exercises to test skill and concept mastery
  341.    wt: 1:   5 Algebraic View of Slopes
  342.    wt: 1:   3 Slope product for perpendicular lines
  343.    wt: 1:   1 Numerical view of lines and their equations
  344.    wt: 1:   What is and is not here
  345.    wt: 1:   13 Pythagorean spatial distance formulas
  346.    wt: 1:   12 Spatial Coordinates
  347.    wt: 1:   10 Pythagorean plane distance formula
  348.    wt: 1:   6 Polar Multiplication and Rotation
  349.    wt: 1:   5 Cartesian Addition and Translation
  350.    wt: 1:   4 Polar Coordinates to and from
  351.    wt: 1:   2 Cartesian Coordinates with signs
  352.    wt: 1:   PS H Distributive Law For Complex Numbers
  353.    wt: 1:   21 Parallelograms
  354.    wt: 1:   16 Angles Subtended By Chords and Diameters
  355.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  356.    wt: 1:   12 Side Angle Side Failure
  357.    wt: 1:   6 Ruler and compass Angle Bisection
  358.    wt: 1:   2 Correspondence between Triangles
  359.    wt: 1:   1 Initial Concepts and Terms
  360.    wt: 1:   2 Measuring Area Directly
  361.    wt: 1:   A Modular and Remainder Arithmetic
  362.    wt: 1:   26 More Less Greater Than Comparison
  363.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  364.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  365.    wt: 1:   23 Distributive Law Two Derivations
  366.    wt: 1:   21 Addition of Multiples of a Single Vector
  367.    wt: 1:   13 Arrows and Vectors in a Plane
  368.    wt: 1:   12 Real Numbers Line Signed Coordinates
  369.    wt: 1:   11 Signed Number Addition and Addition Properties
  370.    wt: 1:   8 Division and Mulplication of Compound Fractions
  371.    wt: 1:   2 Counting Digits in Decimal Multiplication
  372.    wt: 1:   C Three Decimal Subtraction Methods
  373.    wt: 1:   B Decimal Comparison and Subtraction
  374.    wt: 1:   6 Column Methods for Decimal Multiplication
  375.    wt: 1:   5 Distributive Law for Whole Numbers
  376.    wt: 1:   4 Commutative Law Groups Counting Form
  377.    wt: 1:   3 Multiplicative Counting Skills Principles
  378.    wt: 1:   3 Inequalities Algebraically
  379.    wt: 1:   2 Fraction Operations Physical Development
  380.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  381.    wt: 1:   4 Rates Ratios and Proporitionality
  382.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  383.    wt: 1:   5 Triangle Area Formula Backwards
  384.    wt: 1:   2 Linear Equation Literal Solution
  385.    wt: 1:   6 Equations and Systems Equivalent or Implied
  386.    wt: 1:   5 Equality in Algebra
  387.    wt: 1:   4 Subtraction and Division Axioms
  388.    wt: 1:   3 Product Axioms Two Forms
  389.    wt: 1:   3 More and Less Than with Unlike Signs
  390.    wt: 1:   12 Real Number Additive Inverses or Negatives
  391.    wt: 1:   10 Real Number Lengths and Signs
  392.    wt: 1:   9 Coordinates for Regions in Space
  393.    wt: 1:   2 Integers
  394.    wt: 1:   1 Whole and Natural Numbers
  395.    wt: 1:   2 Computation Rules Evaluation
  396.    wt: 1:   3 GE III Equation Addition and Multiplication
  397.    wt: 1:   2 GE II Comparison
  398.    wt: 1:   6 Algebraic Solution Example
  399.    wt: 1:   5 Algebraic Solutions Introduction
  400.    wt: 1:   9 Three Examples
  401.    wt: 1:   6 Three Examples
  402.    wt: 1:   5 Three Examples
  403.    wt: 1:   Using Letters for Physical Quantities
  404.    wt: 1:   13 Naming Identifying Formulas with Words
  405.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  406.    wt: 1:   8 Compound Interest Formula Evaluation
  407.    wt: 1:   7 Compound Interest Formula Introduction
  408.    wt: 1:   5 Box Volume Formula Example
  409.    wt: 1:   4 Circle Area Formula Example
  410.    wt: 1:   3 Triangle Area Formula Example
  411.    wt: 1:   9 Sets in Probability and Statistics
  412.    wt: 1:   2 Venn Diagrams
  413.    wt: 1:   6 Three Notions of What is a Variable
  414.    wt: 1:   5 Talking about Numbers and Quantities
  415.    wt: 1:   2 What is a Variable
  416.    wt: 1:   arithmetic videos Real Player Format
  417.    wt: 1:   2 Square Roots with Prime
  418.    wt: 1:   1 Squares and Square Roots Introduction
  419.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  420.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  421.    wt: 1:   7 GCD and LCM from prime factorization
  422.    wt: 1:   4 LCM of 8 and 10 via Prime
  423.    wt: 1:   2 Least Common Multiple LCM intro via list method
  424.    wt: 1:   3 Counting with Tables and Trees II
  425.    wt: 1:   1 Counting and Counting Methods I
  426.    wt: 1:   11 What are real lengths and numbers
  427.    wt: 1:   7 negative and additive inverse
  428.    wt: 1:   5 lengths and signs of numbers
  429.    wt: 1:   4 signed coordinates for regions in space
  430.    wt: 1:   3 Multiplying Units and Numbers
  431.    wt: 1:   1 Addition and Subtraction with Units
  432.    wt: 1:   D Three Term Ratios
  433.    wt: 1:   B Fractions and Two Term Ratios
  434.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  435.    wt: 1:   21 Working With Signs
  436.    wt: 1:   20 Dividing Fractions the Why
  437.    wt: 1:   17 Efficient Ways to Add and Subtract
  438.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  439.    wt: 1:   14 Adding and Subtracting with Like Denominators
  440.    wt: 1:   13 Fraction Comparison Algebraic View
  441.    wt: 1:   12 Fraction Comparison
  442.    wt: 1:   11 Simplification an Algebraic View
  443.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  444.    wt: 1:   9 Improper Fractions and Mixed Numbers
  445.    wt: 1:   6 Multiplication Algebraically Take II
  446.    wt: 1:   2 Unit Fraction Multiplication
  447.    wt: 1:   12 Adding Integers More Examples
  448.    wt: 1:   10 Integer Multiplication Formulas
  449.    wt: 1:   5 Zero Movement and Additive Inverses
  450.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  451.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  452.    wt: 1:   21 Remainder Arithmetic Modulo 3
  453.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  454.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  455.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  456.    wt: 1:   20 Uniqueness of Prime Factorization
  457.    wt: 1:   17 Identify and Count Factors using Primes
  458.    wt: 1:   15 video Factors of 20 using Prime Factorization
  459.    wt: 1:   14 video Factors of 24 Take II
  460.    wt: 1:   13 video Factors of 24 using prime
  461.    wt: 1:   10 video Prime Factorization upto 23 squared
  462.    wt: 1:   7 Calculator Usage Notes and Cautions
  463.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  464.    wt: 1:   5 Prime Factorization and a Square Rule
  465.    wt: 1:   3 video Primes and Composites from 9 times table
  466.    wt: 1:   Division with Counts and Length
  467.    wt: 1:   12 Why Long Division Works Take III
  468.    wt: 1:   10 Division by Five Long and Short Ways
  469.    wt: 1:   4 Division with 2 Digit Divsors
  470.    wt: 1:   2 Division with Single Digit Divisors
  471.    wt: 1:   A Elementary Basis for Multiplication Methods
  472.    wt: 1:   2 One Digit Multipliers
  473.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  474.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  475.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  476.    wt: 1:   5 A Tip for Efficent Subtraction
  477.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  478.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  479.    wt: 1:   2 Subtraction Easy Case Examples
  480.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  481.    wt: 1:   2 Decimal Counting Practices
  482.    wt: 1:   11 Place Value SI Standard International way
  483.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  484.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  485.    wt: 1:   Exact Arithmetic Wholes and Fractions
  486.    wt: 1:   Formula Evaluation how to show work
  487.    wt: 1:   The 20 Times Table
  488.    wt: 1:   The 12 Times Table Visually
  489.    wt: 1:   015 School and work day counting tables
  490.    wt: 1:   012 Division of Time Intervals by Time Intervals
  491.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  492.    wt: 1:   4 Mixing and Changing Units of Time
  493.    wt: 1:   3 Units and Lengths of Time
  494.    wt: 1:   1 Intro of Kids To Time Date Skills
  495.    wt: 1:   Example 2 volume of a cone
  496.    wt: 1:   Example 1. Area Between x and x squared
  497.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  498.    wt: 1:   Example 2
  499.    wt: 1:   Area Between Curves Lesson Take 2
  500.    wt: 1:   Summary
  501.    wt: 1:   2 Indefinite Integrals Exercises
  502.    wt: 1:   2 Second derivative test prequel
  503.    wt: 1:   29 Chain Rule Optional Reading
  504.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  505.    wt: 1:   26 Chain Rule Recognising outer inner functions
  506.    wt: 1:   25 Chain Rule Animated Examples Continued
  507.    wt: 1:   24 Chain Rule Animated Examples
  508.    wt: 1:   23 Chain Rule in general
  509.    wt: 1:   19 Chain Rule for linear functions
  510.    wt: 1:   17 Derivatives of quotients of sine and cosine
  511.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  512.    wt: 1:   15 sine and cosine derivatives 3rd step
  513.    wt: 1:   13 sine and cosine derivatives 1st step
  514.    wt: 1:   12 Quotient rule examples
  515.    wt: 1:   10 Power rule for negative integers
  516.    wt: 1:   4 Sum Rule
  517.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  518.    wt: 1:   11 Limits at infinity Three Examples
  519.    wt: 1:   10 Three one sided limits with infinite values
  520.    wt: 1:   9 Limits Continuity and Composition
  521.    wt: 1:   5 Jumps and absence of unlimited error control
  522.    wt: 1:   3 Decimal insights for limits continuity convergence
  523.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  524.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  525.    wt: 1:   F.2 Closed Range Theorem
  526.    wt: 1:   D2 Limits of Monotone Sequences
  527.    wt: 1:   Chapter 23 Links To Trigonometry
  528.    wt: 1:   Chapter 21 Arrow Addition
  529.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  530.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  531.    wt: 1:   Chapter 10 Slopes and Units
  532.    wt: 1:   Chapter 7 Slopes and Velocity
  533.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  534.    wt: 1:   Foreword
  535.    wt: 1:   Postscript More on Better Performance
  536.    wt: 1:   Appendix E. How To Study Mathematics and Why
  537.    wt: 1:   Appendix D. What to do in School and Why
  538.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  539.    wt: 1:   Chapter 31 Direct and Indirect Reason
  540.    wt: 1:   Chapter 28 Occurrence Tables
  541.    wt: 1:   Chapter 25. Mathematical Induction Examples
  542.    wt: 1:   Chapter 21. Third Reading Guide
  543.    wt: 1:   Chapter 19. Functions and Sets
  544.    wt: 1:   Chapter 11. Why Shorthand
  545.    wt: 1:   Chapter 10 Describing and Changing Calculations
  546.    wt: 1:   Solutions For Arithmetic Exercises
  547.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  548.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  549.    wt: 1:   Foreword
  550.    wt: 1:   Postscript A Three Remarks
  551.    wt: 1:   Chapter 12 Four Phases
  552.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  553.    wt: 1:   Chapter 3 Algebra Difficulties
  554.    wt: 1:   Foreword
  555.    wt: 1:   Postscript C Consistency as a Tool for Reason
  556.    wt: 1:   Postscript B More on Story Telling and Reason
  557.    wt: 1:   Chapter 23 Truth Tables
  558.    wt: 1:   Chapter 21 Occurrence Tables
  559.    wt: 1:   Chapter 18 Sense and Knowledge
  560.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  561.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  562.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  563.    wt: 1:   Chapter 2 Skill Development
  564.    wt: 1:   Three Remarks
  565.    wt: 1:   Foreword
  566.    wt: 1:   S Adding words to algebra
  567.    wt: 1:   R Why Learn Mathematics Skills
  568.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  569.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  570.    wt: 1:   O On Learning Mathematics and Science
  571.    wt: 1:   N Mathematics Prepare for College Studies
  572.    wt: 1:   L Skills with take home value
  573.    wt: 1:   N Improving Marks on Tests and Finals
  574.    wt: 1:   J. More on written work and showing skill
  575.    wt: 1:   H Jigsaw puzzles and problem solving
  576.    wt: 1:   E. When and how to correct errors
  577.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  578.    wt: 1:   Chapter 8 Skipped Topics and Why
  579.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  580.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  581.    wt: 1:   Chapter 3 Algebra Starter Lessons
  582.    wt: 1:   Chapter 2 Why Sets
  583.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  584.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  585.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  586.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  587.    wt: 1:   Helping the Blind in Logic and Mathematics
  588.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  589.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  590.    wt: 1:   Systematic Algebra Skill Development Missing Links
  591.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  592.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

981 matches:

  1.    wt: 9:   2 Three Examples
  2.    wt: 9:   Chapter 29 Contrapositive and Vacuously True Implications
  3.    wt: 9:   Chapter 27 Shorthand Symbols as Pronouns
  4.    wt: 9:   Chapter 26 What is in chapters 27 to 31
  5.    wt: 9:   Chapter 24. Personal Investment and Pension EGS
  6.    wt: 9:   Chapter 20. Degrees and Radians
  7.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
  8.    wt: 9:   Chapter 12. Shorthand Usage Guide
  9.    wt: 8:   1 Written work formats for developing and showing skill
  10.    wt: 8:   2 More and Less Than with Unlike Signs
  11.    wt: 8:   1 More and Less Than for Counts and Measures
  12.    wt: 8:   Long Division forwards and backwards Example 2
  13.    wt: 8:   Appendix 2 Three Decimal Subtraction Methods
  14.    wt: 8:   9 22 Minute Subtraction Review Video
  15.    wt: 8:   2 Subtraction Easy Case Examples
  16.    wt: 8:   Postscript For Better Performance
  17.    wt: 8:   Chapter 28 Occurrence Tables
  18.    wt: 8:   Chapter 25. Mathematical Induction Examples
  19.    wt: 8:   Chapter 21. Third Reading Guide
  20.    wt: 8:   Chapter 18. Rules for Algebra
  21.    wt: 8:   Postscript Unifying Theme A Fourth Skill For Algebra
  22.    wt: 8:   Chapter 5 Islands and Divisions of Knowledge
  23.    wt: 7:   2 Combing Counts Addition Skills and Principles
  24.    wt: 7:   2 Algebraic View
  25.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
  26.    wt: 7:   2 More and Less Than for Counts and Measures
  27.    wt: 7:   6 Algebraic Solution Example
  28.    wt: 7:   5 Algebraic Solutions Introduction
  29.    wt: 7:   2 Another Rectangle Area Formula Example
  30.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  31.    wt: 7:   21 Reciprocals for Fractions and Wholes
  32.    wt: 7:   Long Division forwards and backwards Example 3
  33.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  34.    wt: 7:   5 A Tip for Efficent Subtraction
  35.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  36.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  37.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  38.    wt: 7:   8 What skills and work habits to require
  39.    wt: 7:   6. Counting and adding units and mixed units
  40.    wt: 7:   2 Decimal Counting Practices
  41.    wt: 7:   Postscript More on Better Performance
  42.    wt: 7:   Appendix E. How To Study Mathematics and Why
  43.    wt: 7:   Appendix D. What to do in School and Why
  44.    wt: 7:   Appendix B. How To Learn
  45.    wt: 7:   Appendix A. Reading Guide For Next Appendices
  46.    wt: 7:   Chapter 31 Direct and Indirect Reason
  47.    wt: 7:   Chapter 19. Functions and Sets
  48.    wt: 7:   Chapter 11. Why Shorthand
  49.    wt: 7:   Chapter 10 Describing and Changing Calculations
  50.    wt: 7:   Solutions For Arithmetic Exercises
  51.    wt: 7:   Chapter 7 Prep for Calculus Arithmetic Exercises
  52.    wt: 7:   Chapter 1 Introduction to Chapters 2 to 6
  53.    wt: 7:   Foreword
  54.    wt: 6:   6 Formulas for Even and Odd Roots with Logarithms
  55.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  56.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  57.    wt: 6:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  58.    wt: 6:   6 Compound Interest Forward and Backwards
  59.    wt: 6:   4 Rectangle Area and Like Formulas Backwards
  60.    wt: 6:   2 Essentially one exercises three with solution
  61.    wt: 6:   4 Four Examples Fractional Coefficients
  62.    wt: 6:   3 Four Examples
  63.    wt: 6:   1 Proper Equal Sign Usage
  64.    wt: 6:   2 Three Examples
  65.    wt: 6:   13 Naming Identifying Formulas with Words
  66.    wt: 6:   12 Cone Cylinder Sphere Lesson Idea
  67.    wt: 6:   8 Compound Interest Formula Evaluation
  68.    wt: 6:   7 Compound Interest Formula Introduction
  69.    wt: 6:   5 Box Volume Formula Example
  70.    wt: 6:   4 Circle Area Formula Example
  71.    wt: 6:   3 Triangle Area Formula Example
  72.    wt: 6:   1 Three Skills For Algebra
  73.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  74.    wt: 6:   12 GCD 2700 288 via Prime
  75.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  76.    wt: 6:   22 Complex Compound Fractions
  77.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  78.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  79.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  80.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  81.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  82.    wt: 6:   12 LCD GCD and LCM using Primes
  83.    wt: 6:   2 Prime and Composites less than 16
  84.    wt: 6:   Long Division forwards and backwards Example 1
  85.    wt: 6:   12 Why Long Division Works Take III
  86.    wt: 6:   2 Division with Single Digit Divisors
  87.    wt: 6:   4 Two and Three Digit Multipliers
  88.    wt: 6:   2 One Digit Multipliers
  89.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  90.    wt: 6:   Video Decimal Multiplication Geometric View Example 2
  91.    wt: 6:   Video Power Notation in Decimal Expansion
  92.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  93.    wt: 6:   Subtraction with J Conversions Example
  94.    wt: 6:   Subtraction Another Video Lesson
  95.    wt: 6:   8 Subtraction with Units of Measure
  96.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  97.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  98.    wt: 6:   Appendix C. How to Read
  99.    wt: 6:   Chapter 30 Truth Tables
  100.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  101.    wt: 6:   Chapter 16. Painless Theorem Proving
  102.    wt: 6:   Chapter 15. Solving Linear Equations
  103.    wt: 6:   Chapter 13. Second Reading Guide
  104.    wt: 6:   Postscript What is a Variable
  105.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
  106.    wt: 6:   Chapter 6 Change of Language
  107.    wt: 6:   Chapter 4 Longer Chains of Reason
  108.    wt: 6:   Chapter 3 Chains of Reason
  109.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  110.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
  111.    wt: 6:   2 Identifying Size and Position Place and Spatial Sense
  112.    wt: 5:   22 Square Root function graphically
  113.    wt: 5:   9 Formulas for Real Exponents with Logarithms
  114.    wt: 5:   8 Formulas for Fractional Exponents with Logarithms
  115.    wt: 5:   7 Formulas for Roots with Logarithms Derivation
  116.    wt: 5:   2 Square Root Simplification a prequel
  117.    wt: 5:   26 Formulas for products of sines and cosines
  118.    wt: 5:   12 cis formulas for sine cosines and tangent
  119.    wt: 5:   14 Vector Head to Tail Sums and Resultants
  120.    wt: 5:   4 Rates Ratios and Proporitionality
  121.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  122.    wt: 5:   5 Triangle Area Formula Backwards
  123.    wt: 5:   2 Linear Equation Literal Solution
  124.    wt: 5:   2 Addition and Multiplication Axioms
  125.    wt: 5:   3 Geometric Formulas and Function Notation
  126.    wt: 5:   1 Formulas Dependence and Function Notation
  127.    wt: 5:   11 Volume of Sphere
  128.    wt: 5:   10 Volume of Pyramid
  129.    wt: 5:   9 Volume of Cone
  130.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
  131.    wt: 5:   4 Greater More Less Than Signs in General
  132.    wt: 5:   3 Comparison of Negative Numbers
  133.    wt: 5:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  134.    wt: 5:   11 GCD 2700 288 via Euclid Algorithm
  135.    wt: 5:   2 Counting with Tables and Trees I
  136.    wt: 5:   3 signed coordinates for maps and planes
  137.    wt: 5:   2 signed and unsigned numbers as coordinates
  138.    wt: 5:   5 Reciprocals and Division for Fractions with Units
  139.    wt: 5:   2 Equality and Units
  140.    wt: 5:   21 Working With Signs
  141.    wt: 5:   20 Dividing Fractions the Why
  142.    wt: 5:   2 Unit Fraction Multiplication
  143.    wt: 5:   26 Divisibility by 2 3 5 Example
  144.    wt: 5:   23 Remainder Arithmetic Modulo 2
  145.    wt: 5:   22 Remainder Arithmetic Modulo 3 more
  146.    wt: 5:   19 Remainder Arithmetic Rule of 9 for checking sums III
  147.    wt: 5:   17 Remainder Arithmetic Rule of 9 for checking sums I
  148.    wt: 5:   2 Remainder Arithmetic Modulo 10 more
  149.    wt: 5:   20 Uniqueness of Prime Factorization
  150.    wt: 5:   Long Division Backwards more
  151.    wt: 5:   Long Division Backward
  152.    wt: 5:   Division with Counts and Length
  153.    wt: 5:   10 Division by Five Long and Short Ways
  154.    wt: 5:   4 Division with 2 Digit Divsors
  155.    wt: 5:   A Elementary Basis for Multiplication Methods
  156.    wt: 5:   Appendix 1 Counting Revisited 15 minute video
  157.    wt: 5:   7 Adding decimal fractions using decimal point
  158.    wt: 5:   5. How to add decimals C. Examples
  159.    wt: 5:   4. How to add with decimals B with conversions
  160.    wt: 5:   3. How to add with decimals A sans conversions
  161.    wt: 5:   1. Explaining Addition Table
  162.    wt: 5:   38 Formulas and derivatives for powers and roots
  163.    wt: 5:   Chapter 2 For and Against Mathematics
  164.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  165.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  166.    wt: 4:   three goals for Mathematics Education
  167.    wt: 4:   02 21 words for teachers
  168.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  169.    wt: 4:   24 Standards For Skill Develoment Take II
  170.    wt: 4:   24 Standards For Skill Develoment
  171.    wt: 4:   22 Student Centered Highschool Mathematics
  172.    wt: 4:   12 Goals and Objectives For Mathematics
  173.    wt: 4:   2 Reading and Writing Skills
  174.    wt: 4:   Ages 12 to 14 Skills with take home value
  175.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  176.    wt: 4:   26 Function definitions done and coming
  177.    wt: 4:   25 Absolute Value greatest integer and saw tooth functions
  178.    wt: 4:   24 Monotoncity Injectivity and Inverse Functions
  179.    wt: 4:   2 Algebraic use of function notation
  180.    wt: 4:   11 Growth and Decay in Biology
  181.    wt: 4:   10 Exponential Growth and Decay Models
  182.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  183.    wt: 4:   9 Summary Degrees to Radians and back
  184.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
  185.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  186.    wt: 4:   8 Straight Lines Equation for vertical
  187.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  188.    wt: 4:   2 Straight Lines Slopes As Rise Over Run
  189.    wt: 4:   29 secant cosecant and cotangent for acute angles
  190.    wt: 4:   21 sine and cosine Half Angle Formulas
  191.    wt: 4:   4 Equations for lines three forms
  192.    wt: 4:   2 point slope equation for a line
  193.    wt: 4:   PS H Distributive Law For Complex Numbers
  194.    wt: 4:   PS B Parallelogram Construction Methods
  195.    wt: 4:   21 Parallelograms
  196.    wt: 4:   12 Side Angle Side Failure
  197.    wt: 4:   2 Correspondence between Triangles
  198.    wt: 4:   22 Multiplication of Signed Numbers
  199.    wt: 4:   21 Addition of Multiples of a Single Vector
  200.    wt: 4:   13 Arrows and Vectors in a Plane
  201.    wt: 4:   12 Real Numbers Line Signed Coordinates
  202.    wt: 4:   11 Signed Number Addition and Addition Properties
  203.    wt: 4:   C Three Decimal Subtraction Methods
  204.    wt: 4:   B Decimal Comparison and Subtraction
  205.    wt: 4:   6 Column Methods for Decimal Multiplication
  206.    wt: 4:   5 Distributive Law for Whole Numbers
  207.    wt: 4:   4 Commutative Law Groups Counting Form
  208.    wt: 4:   3 Multiplicative Counting Skills Principles
  209.    wt: 4:   3 Inequalities Algebraically
  210.    wt: 4:   2 Fraction Operations Physical Development
  211.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  212.    wt: 4:   5 Proportionality in Equivalent Fractions
  213.    wt: 4:   3 Proportionality Examples
  214.    wt: 4:   1 What is Proportionality
  215.    wt: 4:   7 Pythagorean Theorem Chinese Square Proof
  216.    wt: 4:   3 Linear Equation Literal Solution More
  217.    wt: 4:   1 Changing Calculations
  218.    wt: 4:   6 Equations and Systems Equivalent or Implied
  219.    wt: 4:   5 Equality in Algebra
  220.    wt: 4:   4 Subtraction and Division Axioms
  221.    wt: 4:   3 Product Axioms Two Forms
  222.    wt: 4:   3 More and Less Than with Unlike Signs
  223.    wt: 4:   12 Real Number Additive Inverses or Negatives
  224.    wt: 4:   10 Real Number Lengths and Signs
  225.    wt: 4:   8 Coordinates for Maps and Planes
  226.    wt: 4:   2 Computation Rules Evaluation
  227.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  228.    wt: 4:   2 GE II Comparison
  229.    wt: 4:   9 Three Examples
  230.    wt: 4:   6 Three Examples
  231.    wt: 4:   5 Three Examples
  232.    wt: 4:   Formula Usage Show Work Format
  233.    wt: 4:   4 A Brief Story of numbers and algebra
  234.    wt: 4:   2 Square Roots with Prime
  235.    wt: 4:   1 Squares and Square Roots Introduction
  236.    wt: 4:   17 GCD LCM of 85 and 60 via Prime
  237.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
  238.    wt: 4:   8 GCD from Euclidean Algorithm
  239.    wt: 4:   7 GCD and LCM from prime factorization
  240.    wt: 4:   4 LCM of 8 and 10 via Prime
  241.    wt: 4:   2 Least Common Multiple LCM intro via list method
  242.    wt: 4:   3 Counting with Tables and Trees II
  243.    wt: 4:   1 Counting and Counting Methods I
  244.    wt: 4:   3 Multiplying Units and Numbers
  245.    wt: 4:   1 Addition and Subtraction with Units
  246.    wt: 4:   D Three Term Ratios
  247.    wt: 4:   B Fractions and Two Term Ratios
  248.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  249.    wt: 4:   19 Dividing Fractions How TO
  250.    wt: 4:   17 Efficient Ways to Add and Subtract
  251.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  252.    wt: 4:   14 Adding and Subtracting with Like Denominators
  253.    wt: 4:   13 Fraction Comparison Algebraic View
  254.    wt: 4:   12 Fraction Comparison
  255.    wt: 4:   11 Simplification an Algebraic View
  256.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  257.    wt: 4:   9 Improper Fractions and Mixed Numbers
  258.    wt: 4:   6 Multiplication Algebraically Take II
  259.    wt: 4:   12 Adding Integers More Examples
  260.    wt: 4:   11 Adding Integers Formulas and Examples
  261.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  262.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  263.    wt: 4:   21 Remainder Arithmetic Modulo 3
  264.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  265.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  266.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  267.    wt: 4:   5 Remainder Arithmetic Modulo 5
  268.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  269.    wt: 4:   3 Remainder Arithmetic Modulos 10 more still
  270.    wt: 4:   1 Remainder Arithmetic Modulo 10
  271.    wt: 4:   17 Identify and Count Factors using Primes
  272.    wt: 4:   15 video Factors of 20 using Prime Factorization
  273.    wt: 4:   14 video Factors of 24 Take II
  274.    wt: 4:   13 video Factors of 24 using prime
  275.    wt: 4:   10 video Prime Factorization upto 23 squared
  276.    wt: 4:   7 Calculator Usage Notes and Cautions
  277.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  278.    wt: 4:   5 Prime Factorization and a Square Rule
  279.    wt: 4:   3 video Primes and Composites from 9 times table
  280.    wt: 4:   11 Another Single Digit Divisor Example
  281.    wt: 4:   9 Why Long Division Works Take II
  282.    wt: 4:   8 Correcting the Mistake
  283.    wt: 4:   7 Long Divison Mistake Catching
  284.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  285.    wt: 4:   5 Long Division Include Zeroes or not
  286.    wt: 4:   3 Division Single Digit Divisor Example
  287.    wt: 4:   1 Divsion Physical Examples
  288.    wt: 4:   D Decimal Multiplication Methods Derived
  289.    wt: 4:   C Counting Areas with Powers of Ten
  290.    wt: 4:   B Powers of Ten
  291.    wt: 4:   6 Multiplication Commutes Order Not Important
  292.    wt: 4:   5 Decimal Fraction Multiplication
  293.    wt: 4:   3 More One Digit Multipliers
  294.    wt: 4:   1 Why 3 times 5 gives 15
  295.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  296.    wt: 4:   8 Review Lesson 1 2 4 and 6 All in One
  297.    wt: 4:   Quick history of numbers and algebra
  298.    wt: 4:   The 20 Times Table
  299.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  300.    wt: 4:   Example 1. Area Between x and x squared
  301.    wt: 4:   22 Chain Rule for polynomials
  302.    wt: 4:   21 Chain Rule for powers
  303.    wt: 4:   4 Sum Rule
  304.    wt: 4:   2 Algebraic codification
  305.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  306.    wt: 4:   Chapter 22 Complex Numbers
  307.    wt: 4:   Chapter 24 Direct and Indirect Reason
  308.    wt: 4:   Chapter 20 Shorthand Symbols as Pronouns
  309.    wt: 4:   G. Written work formats for developing and showing skill
  310.    wt: 4:   7 Games and Activities for Instruction
  311.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  312.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  313.    wt: 3:   Skills Chapter 2 Geometry
  314.    wt: 3:   2 arithmetic with signed numbers
  315.    wt: 3:   geometric implications for algebra
  316.    wt: 3:   Lessening Algebra Difficulties
  317.    wt: 3:   the trouble with algebra
  318.    wt: 3:   02 20 mathematics education references
  319.    wt: 3:   three aims for mathematics students
  320.    wt: 3:   Prequel In For A Penny In For A Pound
  321.    wt: 3:   fairness and inductive principles for instruction
  322.    wt: 3:   B Energy Power02
  323.    wt: 3:   2 Conductance Resistance Duality02
  324.    wt: 3:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  325.    wt: 3:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  326.    wt: 3:   Ages 12 to 14 Geometry
  327.    wt: 3:   Ages 12 to 14 Arithmetic
  328.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  329.    wt: 3:   sign monoticity analysis example 2
  330.    wt: 3:   23 Inverse Functions
  331.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  332.    wt: 3:   20 Interchanging coordinates a reflection
  333.    wt: 3:   12 Function Domain Recognition Exercises
  334.    wt: 3:   6 Set Existence Formation and Notation
  335.    wt: 3:   5 Function notation for geometric transformations
  336.    wt: 3:   5 Natural Logarithm Calculator Exercises
  337.    wt: 3:   1 Calculator Starter Exercises
  338.    wt: 3:   12 motivation for term arctan
  339.    wt: 3:   4 graphing y=Asin(x c)
  340.    wt: 3:   3 graphing y=f(x c) plus K
  341.    wt: 3:   1 graphing y=f(x a)
  342.    wt: 3:   Parallel Lines and Interior Angles
  343.    wt: 3:   D Straight Lines Slope from Coordinates Examples
  344.    wt: 3:   C Straight Lines Slope from Coordinates
  345.    wt: 3:   B Straight Line Slope Scaling Properties More
  346.    wt: 3:   A Straight Line Slope Scaling Properties
  347.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  348.    wt: 3:   12 Straight Lines Graphing mx plus b
  349.    wt: 3:   11 Straight Lines Graphing y=mx
  350.    wt: 3:   7 Tangent Function is odd on this domain
  351.    wt: 3:   5 Tangent Function Graph
  352.    wt: 3:   4 Tangent Function Properties
  353.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  354.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  355.    wt: 3:   28 Expressing products of sines cosines as sums
  356.    wt: 3:   27 Logarithmic use of products of sines and cosines
  357.    wt: 3:   25 tangent double angle formula Slope connection
  358.    wt: 3:   24 tangent Angle Difference Formula
  359.    wt: 3:   20 sine and cosine Double Angle Formulas
  360.    wt: 3:   17E Trig Formulas for dot and cross Products
  361.    wt: 3:   17D cis formulas for sine cosines and tangent
  362.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  363.    wt: 3:   21 Logarithms Powers and Exponentials
  364.    wt: 3:   13 Trig Formulas for dot and cross Products
  365.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  366.    wt: 3:   12 Links Lessons elsewhere
  367.    wt: 3:   12 Spatial Coordinates
  368.    wt: 3:   2 Cartesian Coordinates with signs
  369.    wt: 3:   PS G Rotation Distributes over Addition
  370.    wt: 3:   PS F Scalar Multiplication Distributes over Addition
  371.    wt: 3:   PS E Multiplication with Polar Coordinates
  372.    wt: 3:   PS D Addition with Cartesian Coordinates
  373.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  374.    wt: 3:   PS A Kite Construction Methods
  375.    wt: 3:   16 Angles Subtended By Chords and Diameters
  376.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  377.    wt: 3:   6 Ruler and compass Angle Bisection
  378.    wt: 3:   1 Initial Concepts and Terms
  379.    wt: 3:   A Modular and Remainder Arithmetic
  380.    wt: 3:   26 More Less Greater Than Comparison
  381.    wt: 3:   25 Mid way Convergence to Axiomatic Approach
  382.    wt: 3:   24 Signed Numbers Arithmmetic Properties
  383.    wt: 3:   23 Distributive Law Two Derivations
  384.    wt: 3:   19 Signed Multiples of Vectors
  385.    wt: 3:   18 Geometrically Why Vector Addition Commutes
  386.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
  387.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  388.    wt: 3:   15 Head to Tails in place Addition Associative
  389.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  390.    wt: 3:   8 Division and Mulplication of Compound Fractions
  391.    wt: 3:   2 Counting Digits in Decimal Multiplication
  392.    wt: 3:   E Long Division Methods more
  393.    wt: 3:   D Long Division Methods
  394.    wt: 3:   A Decimal Addition Columm Methods
  395.    wt: 3:   8 Column Multiplication Methods in General
  396.    wt: 3:   7 Decimals Multiplication Methods Examples
  397.    wt: 3:   1 The Counting Origins of Numbers
  398.    wt: 3:   5 Areas of Rectangles Revisited
  399.    wt: 3:   4 Fraction Operations Axiomatic Development
  400.    wt: 3:   1 Equivalent Computation Rules
  401.    wt: 3:   5 Greater More Less Than Signs in General
  402.    wt: 3:   4 Comparison of Negative Numbers
  403.    wt: 3:   1 Real Numbers Comparison
  404.    wt: 3:   16 Real Numbers Comparison
  405.    wt: 3:   15 Real Number Division
  406.    wt: 3:   14 Real Number Multiplication
  407.    wt: 3:   13 Real Number Subtraction
  408.    wt: 3:   11 Real Number Addition
  409.    wt: 3:   9 Coordinates for Regions in Space
  410.    wt: 3:   2 Integers
  411.    wt: 3:   1 Whole and Natural Numbers
  412.    wt: 3:   5 Independent versus Dependent Variables
  413.    wt: 3:   4 Changing Letters
  414.    wt: 3:   3 GE III Equation Addition and Multiplication
  415.    wt: 3:   4 Solving a triangular system exercise
  416.    wt: 3:   3 Solving triangular system example
  417.    wt: 3:   1 Essentially One Unknown
  418.    wt: 3:   Skill Development Notes
  419.    wt: 3:   10 One Example
  420.    wt: 3:   8 One Example
  421.    wt: 3:   7 Two Examples
  422.    wt: 3:   4 Two Examples
  423.    wt: 3:   3 Two Examples
  424.    wt: 3:   Using Letters for Physical Quantities
  425.    wt: 3:   9 Sets in Probability and Statistics
  426.    wt: 3:   2 Venn Diagrams
  427.    wt: 3:   6 Three Notions of What is a Variable
  428.    wt: 3:   5 Talking about Numbers and Quantities
  429.    wt: 3:   2 What is a Variable
  430.    wt: 3:   arithmetic videos Real Player Format
  431.    wt: 3:   5 Square Roots with primes more still
  432.    wt: 3:   4 Square Roots with primes more
  433.    wt: 3:   3 Properties of Square Roots with example
  434.    wt: 3:   14 GCD of 650 110 via Primes LCM via Product Rule
  435.    wt: 3:   13 GCD from given Prime Factorization
  436.    wt: 3:   6 GCD from Prime
  437.    wt: 3:   5 Common Divisors 60 45 via Prime
  438.    wt: 3:   LCM 60 45 Avoid List Method Use Prime
  439.    wt: 3:   1 Least Common Multiples LCM Introduction
  440.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  441.    wt: 3:   4 Counting with Trees Product Rule Take I
  442.    wt: 3:   11 What are real lengths and numbers
  443.    wt: 3:   7 negative and additive inverse
  444.    wt: 3:   5 lengths and signs of numbers
  445.    wt: 3:   4 signed coordinates for regions in space
  446.    wt: 3:   7 Converting or Changing Units
  447.    wt: 3:   6 Simplification of Fractions with Units
  448.    wt: 3:   4 Fractions with Units
  449.    wt: 3:   18 Efficient Ways to Multiply
  450.    wt: 3:   16 Addition Subtraction Comparision Compared
  451.    wt: 3:   8 Numerals Fractionals Quantals Take II
  452.    wt: 3:   7 Numerals Fractionals Quantals
  453.    wt: 3:   6 Multiplication of Mixed Numbers
  454.    wt: 3:   5 Equivalent Fractions
  455.    wt: 3:   4 Fraction Multiplication
  456.    wt: 3:   3 Unit fraction of a fraction
  457.    wt: 3:   1 What is a fraction Take II
  458.    wt: 3:   1 What is a fraction
  459.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  460.    wt: 3:   13 Subtraction with Additive Inverse
  461.    wt: 3:   10 Integer Multiplication Formulas
  462.    wt: 3:   5 Zero Movement and Additive Inverses
  463.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  464.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  465.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  466.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  467.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  468.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  469.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  470.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  471.    wt: 3:   19 video Prime Factorization Unique
  472.    wt: 3:   18 video Count Factors given Prime Factorization
  473.    wt: 3:   16 video Factors of 980 using prime
  474.    wt: 3:   11 Efficient Square Rule Use
  475.    wt: 3:   9 video Prime Factorization upto 19 squared
  476.    wt: 3:   8 video Prime Factorization upto 19
  477.    wt: 3:   4 video Prime Factorization Introduction
  478.    wt: 3:   1 video how Products are bigger than factor
  479.    wt: 3:   11 Place Value SI Standard International way
  480.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  481.    wt: 3:   1 Place Value in Three Digit Whole Numbers
  482.    wt: 3:   Exact Arithmetic Wholes and Fractions
  483.    wt: 3:   Formula Evaluation how to show work
  484.    wt: 3:   The 12 Times Table Visually
  485.    wt: 3:   2 Time and Date Matters in School
  486.    wt: 3:   Example 2 volume of a cone
  487.    wt: 3:   Area Between Crossing Curves Lesson Take 2
  488.    wt: 3:   Example 3
  489.    wt: 3:   Example 2
  490.    wt: 3:   Area Between Curves Lesson Take 2
  491.    wt: 3:   Summary
  492.    wt: 3:   28 Chain Rule Preparation for a Proof
  493.    wt: 3:   20 Chain Rule for Pulley Systems
  494.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  495.    wt: 3:   14 sine and cosine derivatives 2nd step
  496.    wt: 3:   10 Power rule for negative integers
  497.    wt: 3:   3 Motivation for Limit Definition Take 2
  498.    wt: 3:   2 Motivation for Limit Definition Take 1
  499.    wt: 3:   12 Limits with Parameters and Derivatives Take I
  500.    wt: 3:   11 Limits at infinity Three Examples
  501.    wt: 3:   3 Decimal insights for limits continuity convergence
  502.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  503.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  504.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  505.    wt: 3:   Chapter 12. Units and Slopes
  506.    wt: 3:   Chapter 2. Slopes and Ski Trails
  507.    wt: 3:   Chapter 12 Four Phases
  508.    wt: 3:   Postscript C Consistency as a Tool for Reason
  509.    wt: 3:   Postscript B More on Story Telling and Reason
  510.    wt: 3:   Chapter 23 Truth Tables
  511.    wt: 3:   Chapter 21 Occurrence Tables
  512.    wt: 3:   Chapter 19 What is in chapters 20 to 24
  513.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  514.    wt: 3:   Chapter 4 Implication Rules Forwards and Backwards
  515.    wt: 3:   Chapter 2 Skill Development
  516.    wt: 3:   Three Remarks
  517.    wt: 3:   L Skills with take home value
  518.    wt: 3:   I. Logic and language skills
  519.    wt: 3:   How to Build Skills and Confidence
  520.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  521.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  522.    wt: 3:   1 From Number Recognition and Counting to Arithmetic B
  523.    wt: 3:   1 From Number Recognition and Counting to Arithmetic A
  524.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  525.    wt: 2:   Skills Chapter 3 Algebra
  526.    wt: 2:   7 logic review and decimals an odd combination
  527.    wt: 2:   5 logarithms and exponentials etc
  528.    wt: 2:   4 algebra
  529.    wt: 2:   three goals to set for students
  530.    wt: 2:   Applied Maths Program14092009 POMME variant
  531.    wt: 2:   Secondary Three Mathematics
  532.    wt: 2:   talk the algebra talk
  533.    wt: 2:   three difficulties
  534.    wt: 2:   teaching tutoring algebraic reason
  535.    wt: 2:   04 29 New Mathematics Curriculum
  536.    wt: 2:   04 25 when to stop or suspend mathemat
  537.    wt: 2:   standards for course material
  538.    wt: 2:   formal or informal peer review
  539.    wt: 2:   three kinds of reason in mathematics
  540.    wt: 2:   2 Energy Power Heat07
  541.    wt: 2:   C Electromotive force conventional current02
  542.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  543.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  544.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  545.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  546.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  547.    wt: 2:   17 Math Booklets for children and young teenagers
  548.    wt: 2:   5 Patience Please for Yourself and Your Charges
  549.    wt: 2:   4 Learning Takes Time and Effort
  550.    wt: 2:   Ages 10 to 12 Geometry
  551.    wt: 2:   Ages 10 to 12 Arithmetic
  552.    wt: 2:   19 Horizontal line rule and method
  553.    wt: 2:   18 Vertical Line Rule and Method
  554.    wt: 2:   17 Function maxima minima and their location
  555.    wt: 2:   11 Function Domain Range Source and Targets
  556.    wt: 2:   8 Set view of relations and functions
  557.    wt: 2:   4 Function notation in and beyond mathematics
  558.    wt: 2:   3 Formula or function graphing exercise
  559.    wt: 2:   A Quadratics Summary
  560.    wt: 2:   9 quadratics physical and further context
  561.    wt: 2:   8 quadratics backward use of various formulas
  562.    wt: 2:   7 quadratic formulla derivation
  563.    wt: 2:   2 quadratics graphing in general
  564.    wt: 2:   8 Notes for instructors or tutors
  565.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  566.    wt: 2:   2 Column Multiplication Method
  567.    wt: 2:   Rewriting algebraic substitution as function substitutions
  568.    wt: 2:   16 cotangent function Definition Graph and Inverse
  569.    wt: 2:   15 cosecant function Definition Graph and Inverse
  570.    wt: 2:   14 secant function Definition Graph and Inverse
  571.    wt: 2:   13 cosecant function Definition Graph and Inverse
  572.    wt: 2:   2 Radian Measure Numerical Value of one degree
  573.    wt: 2:   1 Degrees and Radians Introduction
  574.    wt: 2:   12 From Applied To Pure Mathematics
  575.    wt: 2:   2 Signed Coordinates
  576.    wt: 2:   Parallel Lines and Parallel Transversals
  577.    wt: 2:   Triangle Angles Sum To 180 Degrees
  578.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  579.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  580.    wt: 2:   Straight Lines ASA Intersection Study More
  581.    wt: 2:   14 Straight Lines Equations General Case
  582.    wt: 2:   10 Straight Lines through Origin Equations More
  583.    wt: 2:   9 Straight Lines through Origin Equations
  584.    wt: 2:   1 Straight Lines Slope Concept
  585.    wt: 2:   17 tangent function angle sum formulas
  586.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  587.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  588.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  589.    wt: 2:   17C sine and cosine double triple angle formulas
  590.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  591.    wt: 2:   14 cosine even and sine and tangent are odd
  592.    wt: 2:   12 Graph of tangent function for one period
  593.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  594.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  595.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  596.    wt: 2:   20 N th Roots of Complex Numbers
  597.    wt: 2:   11 sine and cosine double triple angle formulas
  598.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  599.    wt: 2:   2 Complex Numbers made easier we hope
  600.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  601.    wt: 2:   3 Trigonometric Ratios sine and cosine
  602.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  603.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  604.    wt: 2:   12 Triangles Similarity More Problems
  605.    wt: 2:   2 Similarity By Design
  606.    wt: 2:   11 A Partial Summary
  607.    wt: 2:   10 Midpoint of [a b] and [b a]
  608.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  609.    wt: 2:   8 Mid Point Formula
  610.    wt: 2:   7 Exercises to test skill and concept mastery
  611.    wt: 2:   5 Algebraic View of Slopes
  612.    wt: 2:   3 Slope product for perpendicular lines
  613.    wt: 2:   1 Numerical view of lines and their equations
  614.    wt: 2:   What is and is not here
  615.    wt: 2:   13 Pythagorean spatial distance formulas
  616.    wt: 2:   10 Pythagorean plane distance formula
  617.    wt: 2:   6 Polar Multiplication and Rotation
  618.    wt: 2:   5 Cartesian Addition and Translation
  619.    wt: 2:   4 Polar Coordinates to and from
  620.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  621.    wt: 2:   19 Right Triangle Similarity
  622.    wt: 2:   18 Triangle Similarity Take 1
  623.    wt: 2:   17 Right Bisectors of Triangle Sides
  624.    wt: 2:   14 Parallel Lines Postulate
  625.    wt: 2:   13 Angle Side Angle Failure
  626.    wt: 2:   11 Triangle Construction Fails
  627.    wt: 2:   10 Dropping a perpendicular to line
  628.    wt: 2:   9 Construction of a right bisector
  629.    wt: 2:   8 Isoceles Triangles
  630.    wt: 2:   7 Angle Side Angle
  631.    wt: 2:   5 Side Angle Side
  632.    wt: 2:   4 Side Side Side
  633.    wt: 2:   3 Isometry of Triangles Congruence
  634.    wt: 2:   Short Course on Euclidean Geometry
  635.    wt: 2:   3 Lengths and Areas on Maps and Plans
  636.    wt: 2:   musings do not puiblish real numbers
  637.    wt: 2:   A Signed Number Arithmetic Review
  638.    wt: 2:   9 Division with Digits after Decimal Point
  639.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  640.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  641.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  642.    wt: 2:   4 Location of Point in Decimal Addition
  643.    wt: 2:   3 Location of Point in Decimal Multiplication
  644.    wt: 2:   1 Fractions with Finite Decimal Expansions
  645.    wt: 2:   7 Real Numbers as Line Cordinates
  646.    wt: 2:   6 Unsigned Real Numbers
  647.    wt: 2:   5 Rational Numbers More
  648.    wt: 2:   4 Rational Numbers
  649.    wt: 2:   3 Fractions
  650.    wt: 2:   More Exercises
  651.    wt: 2:   Simple Exercises
  652.    wt: 2:   4 GE III Animated Examples
  653.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  654.    wt: 2:   1 GE Substitution four examples
  655.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  656.    wt: 2:   8 Sets of Numbers
  657.    wt: 2:   7 Cautious or Safe Set Construction
  658.    wt: 2:   6 Power Set Notation
  659.    wt: 2:   5 Product Builder Notation
  660.    wt: 2:   4 Subset Builder Notation
  661.    wt: 2:   3 Counting with Sets etc
  662.    wt: 2:   1 Finite Sets
  663.    wt: 2:   3 Adding Words To Arithmetic
  664.    wt: 2:   About Folder Contents
  665.    wt: 2:   10 dividing signed numbers
  666.    wt: 2:   9 subtracting signed numbers
  667.    wt: 2:   8 multiplying signed numbers
  668.    wt: 2:   6 adding signed numbers
  669.    wt: 2:   D Remainders Modulo 11 Pair Rule
  670.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  671.    wt: 2:   B Integer Long Division Multiple Choices
  672.    wt: 2:   A Associative Law Theorectical Note
  673.    wt: 2:   9 Multiplying Integers
  674.    wt: 2:   8 Multiplication by Signed Numbers Integers
  675.    wt: 2:   7 Multiplication by Signs
  676.    wt: 2:   6 Multiplication by Natural Numbers
  677.    wt: 2:   4 Adding Movements wiht opposite directions
  678.    wt: 2:   3 Adding Movements with same direction
  679.    wt: 2:   1 Integers as Coordinates
  680.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  681.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  682.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  683.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  684.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  685.    wt: 2:   Expression Evaluation how to show work
  686.    wt: 2:   About folder contents
  687.    wt: 2:   015 School and work day counting tables
  688.    wt: 2:   012 Division of Time Intervals by Time Intervals
  689.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  690.    wt: 2:   4 Mixing and Changing Units of Time
  691.    wt: 2:   3 Units and Lengths of Time
  692.    wt: 2:   1 Intro of Kids To Time Date Skills
  693.    wt: 2:   Example 1 volume of a pyramid
  694.    wt: 2:   Volume of Solid by Cross Sections Lesson
  695.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  696.    wt: 2:   Example 4 with x function of y
  697.    wt: 2:   Example 1
  698.    wt: 2:   Area Between Curves Lesson Take 1
  699.    wt: 2:   A Chain Rule Real Player video examples
  700.    wt: 2:   30Chain Rule A Proof
  701.    wt: 2:   29 Chain Rule Optional Reading
  702.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  703.    wt: 2:   26 Chain Rule Recognising outer inner functions
  704.    wt: 2:   25 Chain Rule Animated Examples Continued
  705.    wt: 2:   24 Chain Rule Animated Examples
  706.    wt: 2:   23 Chain Rule in general
  707.    wt: 2:   19 Chain Rule for linear functions
  708.    wt: 2:   17 Derivatives of quotients of sine and cosine
  709.    wt: 2:   15 sine and cosine derivatives 3rd step
  710.    wt: 2:   13 sine and cosine derivatives 1st step
  711.    wt: 2:   12 Quotient rule examples
  712.    wt: 2:   11 Quotient rule
  713.    wt: 2:   9 Reciprocal rule
  714.    wt: 2:   8 Differentiation of polynomials
  715.    wt: 2:   7 Animated Differentiation Examples
  716.    wt: 2:   6 Power rule from product rule
  717.    wt: 2:   5 Product Rule
  718.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  719.    wt: 2:   10 Three one sided limits with infinite values
  720.    wt: 2:   9 Limits Continuity and Composition
  721.    wt: 2:   5 Jumps and absence of unlimited error control
  722.    wt: 2:   E2 Algebraic Properties of Limits
  723.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  724.    wt: 2:   PostScript For and Against Decimal Perspectives
  725.    wt: 2:   Chapter 23 Links To Trigonometry
  726.    wt: 2:   Chapter 21 Arrow Addition
  727.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  728.    wt: 2:   Postscript A Three Remarks
  729.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  730.    wt: 2:   Chapter 3 Algebra Difficulties
  731.    wt: 2:   Foreword
  732.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  733.    wt: 2:   Postscript A Story Telling
  734.    wt: 2:   Chapter 18 Sense and Knowledge
  735.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  736.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  737.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  738.    wt: 2:   Foreword
  739.    wt: 2:   S Adding words to algebra
  740.    wt: 2:   R Why Learn Mathematics Skills
  741.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  742.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  743.    wt: 2:   O On Learning Mathematics and Science
  744.    wt: 2:   N Mathematics Prepare for College Studies
  745.    wt: 2:   N Improving Marks on Tests and Finals
  746.    wt: 2:   J. More on written work and showing skill
  747.    wt: 2:   H Jigsaw puzzles and problem solving
  748.    wt: 2:   E. When and how to correct errors
  749.    wt: 2:   B. Domino effect of errors
  750.    wt: 2:   Chapter 6 More Algebra and Geometry
  751.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  752.    wt: 2:   Chapter 2 Why Sets
  753.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  754.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  755.    wt: 2:   More Algebra and Slope based Calculus Preview
  756.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  757.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  758.    wt: 2:   The Math Forum and Site Content
  759.    wt: 1:   Appendix 2 primary school Arithmetic 01
  760.    wt: 1:   Appendix 1 primary and preschool mathematic
  761.    wt: 1:   G LAMP Introduction Problem Solving Skills
  762.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  763.    wt: 1:   Skills Chapter 5 Calculus
  764.    wt: 1:   Skills Chapter 4 Logic
  765.    wt: 1:   Ramblings Introduction Algebra Essay
  766.    wt: 1:   Skills Chapter 1 Arithmetic
  767.    wt: 1:   Skills Chapter 0 Introduction
  768.    wt: 1:   11 pure mathematics
  769.    wt: 1:   10 statistics
  770.    wt: 1:   9 combinatorics probability sets
  771.    wt: 1:   8 analytic geometry etc
  772.    wt: 1:   6 polynomials etc
  773.    wt: 1:   3 Euclidean Geometry Leanly
  774.    wt: 1:   1 arithmetic with unsigned numbers
  775.    wt: 1:   What is POMME
  776.    wt: 1:   why bother
  777.    wt: 1:   permissions for teachers
  778.    wt: 1:   activities for students
  779.    wt: 1:   About site lesson plans
  780.    wt: 1:   key notes and themes
  781.    wt: 1:   learning takes time
  782.    wt: 1:   grouping students according to ability
  783.    wt: 1:   what should be learnt and When
  784.    wt: 1:   Postscript 2007 01 10
  785.    wt: 1:   Education Reform Inconsistencies
  786.    wt: 1:   Maps Plans Drawings
  787.    wt: 1:   how letters appear
  788.    wt: 1:   Secondary Two Mathematics
  789.    wt: 1:   Secondary One Mathematics
  790.    wt: 1:   teaching tips
  791.    wt: 1:   What to Tell Students
  792.    wt: 1:   mathematics curriculum shifts
  793.    wt: 1:   05 13 OldSiteEntrancePage
  794.    wt: 1:   Education in mathematics science and technology
  795.    wt: 1:   Four ways to improve education reform
  796.    wt: 1:   Motivation and Context Problem
  797.    wt: 1:   need for a mixed mathematics curriculum
  798.    wt: 1:   education an empirical art
  799.    wt: 1:   words for mathematics instructor
  800.    wt: 1:   chapitre 12 00 les iles et division
  801.    wt: 1:   chapitre 04 02 Deuxieme enigme
  802.    wt: 1:   chapitre 02 00 La Communication des idees
  803.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  804.    wt: 1:   4 Energy Power Heat09
  805.    wt: 1:   3 Energy Power Heat08
  806.    wt: 1:   1 Energy Power Heat06
  807.    wt: 1:   E Energy Power05
  808.    wt: 1:   D Energy Power04
  809.    wt: 1:   C Energy Power03
  810.    wt: 1:   A Energy Power01
  811.    wt: 1:   D Wire Resistance Calculation02
  812.    wt: 1:   B Wire Resistance Qualitative02
  813.    wt: 1:   3 Like resistors in parallel
  814.    wt: 1:   2 Unlike resistors in parallel01
  815.    wt: 1:   H Series Circuit02
  816.    wt: 1:   B Electromotive force conventional current01
  817.    wt: 1:   Home Tutoring and Home Schooling
  818.    wt: 1:   15 Counting For Parents
  819.    wt: 1:   14 Multiplication and Times Tables
  820.    wt: 1:   13 Addition and Addition Tables
  821.    wt: 1:   11 Help and Defend Your Child or Teens Education
  822.    wt: 1:   10 Ends values for work study instruction
  823.    wt: 1:   3 Preparing for Science Studies
  824.    wt: 1:   1 Speaking Skills
  825.    wt: 1:   Ages 9 to 10
  826.    wt: 1:   Ages 8 to 9
  827.    wt: 1:   Ages 7 to 8
  828.    wt: 1:   Ages 6 to 7
  829.    wt: 1:   Ages 4 plus to 5 plus
  830.    wt: 1:   Ages 3 plus to 4 plus
  831.    wt: 1:   sign monoticity analysis example 4
  832.    wt: 1:   sign monoticity analysis example 3
  833.    wt: 1:   sign monoticity analysis example 1
  834.    wt: 1:   16 Increasing or decreasing on intervals
  835.    wt: 1:   15 Sign analysis of functions
  836.    wt: 1:   14 Surjections Injections Bijections
  837.    wt: 1:   13 From one to one to many to one
  838.    wt: 1:   10 Interval Notation
  839.    wt: 1:   9 Set theory term relation possible origins
  840.    wt: 1:   7 Functions with finite domains
  841.    wt: 1:   1 Geometric Introduction of Function Notation
  842.    wt: 1:   Introduction Reading Guide
  843.    wt: 1:   10 quadratic exercises
  844.    wt: 1:   6 quadratics numerical approach
  845.    wt: 1:   5 quadratics completing the square
  846.    wt: 1:   4 quadratics difference of two squares
  847.    wt: 1:   3 quadratics factoring by inspection
  848.    wt: 1:   1 quadratics graphing exercises
  849.    wt: 1:   Quadratics in 10 steps
  850.    wt: 1:   7 Links Lessons Elsewhere
  851.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  852.    wt: 1:   4 Polynomials Long division linear divisor
  853.    wt: 1:   3 Polynomials Multiplication Addition
  854.    wt: 1:   1 Polynomials Distributive Law
  855.    wt: 1:   11 arctan left inverse of tangent Graph
  856.    wt: 1:   10 arctan left inverse of tangent Definition
  857.    wt: 1:   9 motivation for name arcsin
  858.    wt: 1:   4 possible motivation for term arccos
  859.    wt: 1:   2 cosine function more properties
  860.    wt: 1:   8 Radian Measures of Common Angles
  861.    wt: 1:   7 Radian Measures in special Triangles
  862.    wt: 1:   6 Radian Measure to Degrees
  863.    wt: 1:   5 Degrees to Radian Measure
  864.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  865.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  866.    wt: 1:   A Global Time and Navigation
  867.    wt: 1:   15 Dot and Cross Product
  868.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  869.    wt: 1:   4 Resultant of a Sum of Movements
  870.    wt: 1:   Vector and Complex Number Applet
  871.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  872.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  873.    wt: 1:   Straight Lines ASA Intersection Study
  874.    wt: 1:   Straight Lines Instersection Solving Equations
  875.    wt: 1:   Straight Lines Intersection of
  876.    wt: 1:   32 seven rows of pascals triangle
  877.    wt: 1:   30 unit circle calculation of six trigonometric functions
  878.    wt: 1:   18 sum of sinusoidal waves as a single wave
  879.    wt: 1:   10 Graphs of sines and cosines many periods
  880.    wt: 1:   9 Graphs of sine and cosine over one period
  881.    wt: 1:   7 period of sine and cosine
  882.    wt: 1:   2 Quadrant I reference Angles
  883.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  884.    wt: 1:   16 References and Originality Question
  885.    wt: 1:   8 Triangles Cascade Problem Solving
  886.    wt: 1:   7 Trignometric Ratios Unit Circle
  887.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  888.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  889.    wt: 1:   8 Similarity of Triangles and Polygons
  890.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  891.    wt: 1:   4 Similarity Definition with Coordinate
  892.    wt: 1:   Four Simple Exercises
  893.    wt: 1:   6 Intersection of lines by solving linear systems
  894.    wt: 1:   11 Triangle Inequality
  895.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  896.    wt: 1:   8 Distance Between Points on a Line
  897.    wt: 1:   7 Complex Numbers Appetizer
  898.    wt: 1:   3 Rectangular Coordinates Review
  899.    wt: 1:   1 Cartesian Coordinates sans signs
  900.    wt: 1:   2 Measuring Area Directly
  901.    wt: 1:   016 Numbering Occidental Calendar Days
  902.    wt: 1:   014 Counting Days with Calendars
  903.    wt: 1:   013 Travel Time Tables
  904.    wt: 1:   011 Division of Time Intervals By Numbers
  905.    wt: 1:   010 Repeated Addition of Time Intervals
  906.    wt: 1:   8 Addition of Time Intervals via subtotaling
  907.    wt: 1:   7 Addition of Time Intervals
  908.    wt: 1:   6 How long is a million seconds
  909.    wt: 1:   5 Conversion Arithmetic
  910.    wt: 1:   2 Indefinite Integrals Exercises
  911.    wt: 1:   1 Chain Rule in Reverse Integration Method
  912.    wt: 1:   2 Second derivative test prequel
  913.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  914.    wt: 1:   36 Cube root derivative animated
  915.    wt: 1:   34 Derivative of exponential function
  916.    wt: 1:   33 Chain Rule Real Player video examples
  917.    wt: 1:   31 Derivatives of inverse functions
  918.    wt: 1:   18 Chain Rule Introduction
  919.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  920.    wt: 1:   8 Four Animated Examples
  921.    wt: 1:   7 Evaluation by immediate or delayed substitution
  922.    wt: 1:   6 Continuity at a point
  923.    wt: 1:   4 Numerical properties
  924.    wt: 1:   1 Numerical introduction
  925.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  926.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  927.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  928.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  929.    wt: 1:   F.4 Finite Covering Theorem
  930.    wt: 1:   F.2 Closed Range Theorem
  931.    wt: 1:   D2 Limits of Monotone Sequences
  932.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  933.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  934.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  935.    wt: 1:   Chapter 10 Slopes and Units
  936.    wt: 1:   Chapter 7 Slopes and Velocity
  937.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  938.    wt: 1:   Fall 1983 Calculus Appetizer
  939.    wt: 1:   Foreword
  940.    wt: 1:   Annotated Links to Material Elsehwere
  941.    wt: 1:   Postscript B Mathematics Education References
  942.    wt: 1:   Chapter 11 Elementary Instruction
  943.    wt: 1:   Chapter 10 Transition
  944.    wt: 1:   Chapter 9 The Two Ends
  945.    wt: 1:   Chapter 8 Modern Instruction
  946.    wt: 1:   Chapter 7 Two Treatments of Geometry
  947.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  948.    wt: 1:   Chapter 5 Four References
  949.    wt: 1:   Chapter 1 Introduction
  950.    wt: 1:   Chapter 15 Objective Processes
  951.    wt: 1:   Chapter 11 Accidental Patterns
  952.    wt: 1:   Chapter 10 Responsibility
  953.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  954.    wt: 1:   Chapter 8 Change of Language
  955.    wt: 1:   Chapter 7 Longer Chains of Reason
  956.    wt: 1:   Chapter 6 Chains of Reason
  957.    wt: 1:   Chapter 5 Deception
  958.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  959.    wt: 1:   Chapter 1 Introduction
  960.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  961.    wt: 1:   M Words to extend arithmetic
  962.    wt: 1:   H more Routine to non routine problem solving
  963.    wt: 1:   F. The student teacher tutor feedback loop
  964.    wt: 1:   D. Check work a must with a caution
  965.    wt: 1:   C. Domino effect of being careful
  966.    wt: 1:   A. Skill has to be seen to believed
  967.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  968.    wt: 1:   Chapter 8 Skipped Topics and Why
  969.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  970.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  971.    wt: 1:   Chapter 3 Algebra Starter Lessons
  972.    wt: 1:   Helping the Blind in Logic and Mathematics
  973.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  974.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  975.    wt: 1:   Systematic Algebra Skill Development Missing Links
  976.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  977.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  978.    wt: 12:   Chapter 22. Geometric Sums and Sequences
  979.    wt: 10:   Chapter 23. Notation For Sums
  980.    wt: 10:   Chapter 8 Three Skills For Algebra
  981.    wt: 10:   Chapter 2 Implication Rules Forwards and Backwards

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

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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