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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54 matches:

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

Web Page Search

453 matches:

  1.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
  2.    wt: 4:   1 Three Skills For Algebra
  3.    wt: 4:   Chapter 8 Three Skills For Algebra
  4.    wt: 4:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  5.    wt: 3:   02 21 words for teachers
  6.    wt: 3:   26 Formulas for products of sines and cosines
  7.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  8.    wt: 3:   12 cis formulas for sine cosines and tangent
  9.    wt: 3:   4 Equations for lines three forms
  10.    wt: 3:   2 More and Less Than for Counts and Measures
  11.    wt: 3:   12 GCD 2700 288 via Prime
  12.    wt: 3:   25 Divisibility Tests for 2 3 5 9 10 Example
  13.    wt: 3:   24 Divisibility Tests for 2 3 5 9 10
  14.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  15.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  16.    wt: 3:   22 Chain Rule for polynomials
  17.    wt: 2:   Skills Chapter 3 Algebra
  18.    wt: 2:   Skills Chapter 2 Geometry
  19.    wt: 2:   three goals to set for students
  20.    wt: 2:   geometric implications for algebra
  21.    wt: 2:   three goals for Mathematics Education
  22.    wt: 2:   02 20 mathematics education references
  23.    wt: 2:   three aims for mathematics students
  24.    wt: 2:   formal or informal peer review
  25.    wt: 2:   Prequel In For A Penny In For A Pound
  26.    wt: 2:   2 Conductance Resistance Duality02
  27.    wt: 2:   C Electromotive force conventional current02
  28.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  29.    wt: 2:   24 Standards For Skill Develoment Take II
  30.    wt: 2:   24 Standards For Skill Develoment
  31.    wt: 2:   22 Student Centered Highschool Mathematics
  32.    wt: 2:   12 Goals and Objectives For Mathematics
  33.    wt: 2:   2 Reading and Writing Skills
  34.    wt: 2:   Ages 12 to 14 Skills with take home value
  35.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  36.    wt: 2:   22 Square Root function graphically
  37.    wt: 2:   5 Function notation for geometric transformations
  38.    wt: 2:   2 Algebraic use of function notation
  39.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  40.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  41.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  42.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  43.    wt: 2:   12 motivation for term arctan
  44.    wt: 2:   2 cosine function more properties
  45.    wt: 2:   29 secant cosecant and cotangent for acute angles
  46.    wt: 2:   25 tangent double angle formula Slope connection
  47.    wt: 2:   24 tangent Angle Difference Formula
  48.    wt: 2:   21 sine and cosine Half Angle Formulas
  49.    wt: 2:   20 sine and cosine Double Angle Formulas
  50.    wt: 2:   17E Trig Formulas for dot and cross Products
  51.    wt: 2:   17D cis formulas for sine cosines and tangent
  52.    wt: 2:   12 Graph of tangent function for one period
  53.    wt: 2:   13 Trig Formulas for dot and cross Products
  54.    wt: 2:   12 Triangles Similarity More Problems
  55.    wt: 2:   2 point slope equation for a line
  56.    wt: 2:   26 More Less Greater Than Comparison
  57.    wt: 2:   22 Multiplication of Signed Numbers
  58.    wt: 2:   2 Combing Counts Addition Skills and Principles
  59.    wt: 2:   2 Algebraic View
  60.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  61.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  62.    wt: 2:   2 Essentially one exercises three with solution
  63.    wt: 2:   2 Three Examples
  64.    wt: 2:   2 Three Examples
  65.    wt: 2:   Formula Usage Show Work Format
  66.    wt: 2:   2 Another Rectangle Area Formula Example
  67.    wt: 2:   1 Written work formats for developing and showing skill
  68.    wt: 2:   2 More and Less Than with Unlike Signs
  69.    wt: 2:   1 More and Less Than for Counts and Measures
  70.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  71.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  72.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  73.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
  74.    wt: 2:   22 Complex Compound Fractions
  75.    wt: 2:   21 Reciprocals for Fractions and Wholes
  76.    wt: 2:   12 Adding Integers More Examples
  77.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  78.    wt: 2:   26 Divisibility by 2 3 5 Example
  79.    wt: 2:   23 Remainder Arithmetic Modulo 2
  80.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  81.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  82.    wt: 2:   Long Division forwards and backwards Example 2
  83.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  84.    wt: 2:   9 22 Minute Subtraction Review Video
  85.    wt: 2:   38 Formulas and derivatives for powers and roots
  86.    wt: 2:   28 Chain Rule Preparation for a Proof
  87.    wt: 2:   21 Chain Rule for powers
  88.    wt: 2:   20 Chain Rule for Pulley Systems
  89.    wt: 2:   3 Motivation for Limit Definition Take 2
  90.    wt: 2:   2 Motivation for Limit Definition Take 1
  91.    wt: 2:   2 Algebraic codification
  92.    wt: 2:   G.2 Lipshitz Conditions Integration Calculus Reform
  93.    wt: 2:   E2 Algebraic Properties of Limits
  94.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  95.    wt: 2:   Chapter 22 Complex Numbers
  96.    wt: 2:   Postscript More on Better Performance
  97.    wt: 2:   Postscript For Better Performance
  98.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  99.    wt: 2:   Chapter 23. Notation For Sums
  100.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  101.    wt: 2:   Chapter 18. Rules for Algebra
  102.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  103.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  104.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  105.    wt: 2:   Chapter 2 For and Against Mathematics
  106.    wt: 2:   Chapter 22 Contrapositive and Vacuously True Implications
  107.    wt: 2:   Chapter 19 What is in chapters 20 to 24
  108.    wt: 2:   G. Written work formats for developing and showing skill
  109.    wt: 2:   Chapter 6 More Algebra and Geometry
  110.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  111.    wt: 2:   More Algebra and Slope based Calculus Preview
  112.    wt: 1:   Appendix 2 primary school Arithmetic 01
  113.    wt: 1:   G LAMP Introduction Problem Solving Skills
  114.    wt: 1:   Skills Chapter 5 Calculus
  115.    wt: 1:   Skills Chapter 4 Logic
  116.    wt: 1:   Ramblings Introduction Algebra Essay
  117.    wt: 1:   Skills Chapter 1 Arithmetic
  118.    wt: 1:   Skills Chapter 0 Introduction
  119.    wt: 1:   4 algebra
  120.    wt: 1:   2 arithmetic with signed numbers
  121.    wt: 1:   permissions for teachers
  122.    wt: 1:   Applied Maths Program14092009 POMME variant
  123.    wt: 1:   activities for students
  124.    wt: 1:   Postscript 2007 01 10
  125.    wt: 1:   Education Reform Inconsistencies
  126.    wt: 1:   Secondary Three Mathematics
  127.    wt: 1:   talk the algebra talk
  128.    wt: 1:   three difficulties
  129.    wt: 1:   teaching tutoring algebraic reason
  130.    wt: 1:   Lessening Algebra Difficulties
  131.    wt: 1:   the trouble with algebra
  132.    wt: 1:   04 29 New Mathematics Curriculum
  133.    wt: 1:   04 25 when to stop or suspend mathemat
  134.    wt: 1:   standards for course material
  135.    wt: 1:   three kinds of reason in mathematics
  136.    wt: 1:   Four ways to improve education reform
  137.    wt: 1:   need for a mixed mathematics curriculum
  138.    wt: 1:   fairness and inductive principles for instruction
  139.    wt: 1:   words for mathematics instructor
  140.    wt: 1:   chapitre 12 00 les iles et division
  141.    wt: 1:   chapitre 04 02 Deuxieme enigme
  142.    wt: 1:   chapitre 02 00 La Communication des idees
  143.    wt: 1:   2 Energy Power Heat07
  144.    wt: 1:   B Energy Power02
  145.    wt: 1:   D Wire Resistance Calculation02
  146.    wt: 1:   B Wire Resistance Qualitative02
  147.    wt: 1:   2 Unlike resistors in parallel01
  148.    wt: 1:   H Series Circuit02
  149.    wt: 1:   B Electromotive force conventional current01
  150.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  151.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  152.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  153.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  154.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  155.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  156.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  157.    wt: 1:   17 Math Booklets for children and young teenagers
  158.    wt: 1:   15 Counting For Parents
  159.    wt: 1:   10 Ends values for work study instruction
  160.    wt: 1:   5 Patience Please for Yourself and Your Charges
  161.    wt: 1:   4 Learning Takes Time and Effort
  162.    wt: 1:   3 Preparing for Science Studies
  163.    wt: 1:   1 Speaking Skills
  164.    wt: 1:   Ages 12 to 14 Geometry
  165.    wt: 1:   Ages 12 to 14 Arithmetic
  166.    wt: 1:   Ages 10 to 12 Geometry
  167.    wt: 1:   Ages 10 to 12 Arithmetic
  168.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  169.    wt: 1:   sign monoticity analysis example 2
  170.    wt: 1:   26 Function definitions done and coming
  171.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  172.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  173.    wt: 1:   23 Inverse Functions
  174.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  175.    wt: 1:   20 Interchanging coordinates a reflection
  176.    wt: 1:   12 Function Domain Recognition Exercises
  177.    wt: 1:   6 Set Existence Formation and Notation
  178.    wt: 1:   3 Formula or function graphing exercise
  179.    wt: 1:   8 quadratics backward use of various formulas
  180.    wt: 1:   7 quadratic formulla derivation
  181.    wt: 1:   2 quadratics graphing in general
  182.    wt: 1:   2 Square Root Simplification a prequel
  183.    wt: 1:   8 Notes for instructors or tutors
  184.    wt: 1:   2 Column Multiplication Method
  185.    wt: 1:   Rewriting algebraic substitution as function substitutions
  186.    wt: 1:   9 motivation for name arcsin
  187.    wt: 1:   4 possible motivation for term arccos
  188.    wt: 1:   2 Radian Measure Numerical Value of one degree
  189.    wt: 1:   12 From Applied To Pure Mathematics
  190.    wt: 1:   2 Signed Coordinates
  191.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  192.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  193.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  194.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  195.    wt: 1:   Straight Lines ASA Intersection Study More
  196.    wt: 1:   B Straight Line Slope Scaling Properties More
  197.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  198.    wt: 1:   12 Straight Lines Graphing mx plus b
  199.    wt: 1:   10 Straight Lines through Origin Equations More
  200.    wt: 1:   8 Straight Lines Equation for vertical
  201.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  202.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  203.    wt: 1:   17 tangent function angle sum formulas
  204.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  205.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  206.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  207.    wt: 1:   32 seven rows of pascals triangle
  208.    wt: 1:   28 Expressing products of sines cosines as sums
  209.    wt: 1:   27 Logarithmic use of products of sines and cosines
  210.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  211.    wt: 1:   17C sine and cosine double triple angle formulas
  212.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  213.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  214.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  215.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  216.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  217.    wt: 1:   2 Quadrant I reference Angles
  218.    wt: 1:   21 Logarithms Powers and Exponentials
  219.    wt: 1:   20 N th Roots of Complex Numbers
  220.    wt: 1:   11 sine and cosine double triple angle formulas
  221.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  222.    wt: 1:   2 Complex Numbers made easier we hope
  223.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  224.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  225.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  226.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  227.    wt: 1:   2 Similarity By Design
  228.    wt: 1:   12 Links Lessons elsewhere
  229.    wt: 1:   8 Mid Point Formula
  230.    wt: 1:   5 Algebraic View of Slopes
  231.    wt: 1:   3 Slope product for perpendicular lines
  232.    wt: 1:   13 Pythagorean spatial distance formulas
  233.    wt: 1:   12 Spatial Coordinates
  234.    wt: 1:   10 Pythagorean plane distance formula
  235.    wt: 1:   2 Cartesian Coordinates with signs
  236.    wt: 1:   PS H Distributive Law For Complex Numbers
  237.    wt: 1:   21 Parallelograms
  238.    wt: 1:   12 Side Angle Side Failure
  239.    wt: 1:   2 Correspondence between Triangles
  240.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  241.    wt: 1:   2 Measuring Area Directly
  242.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  243.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  244.    wt: 1:   23 Distributive Law Two Derivations
  245.    wt: 1:   21 Addition of Multiples of a Single Vector
  246.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  247.    wt: 1:   12 Real Numbers Line Signed Coordinates
  248.    wt: 1:   2 Counting Digits in Decimal Multiplication
  249.    wt: 1:   E Long Division Methods more
  250.    wt: 1:   C Three Decimal Subtraction Methods
  251.    wt: 1:   6 Column Methods for Decimal Multiplication
  252.    wt: 1:   5 Distributive Law for Whole Numbers
  253.    wt: 1:   4 Commutative Law Groups Counting Form
  254.    wt: 1:   3 Multiplicative Counting Skills Principles
  255.    wt: 1:   3 Inequalities Algebraically
  256.    wt: 1:   2 Fraction Operations Physical Development
  257.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  258.    wt: 1:   6 Compound Interest Forward and Backwards
  259.    wt: 1:   5 Triangle Area Formula Backwards
  260.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  261.    wt: 1:   3 Linear Equation Literal Solution More
  262.    wt: 1:   2 Linear Equation Literal Solution
  263.    wt: 1:   5 Equality in Algebra
  264.    wt: 1:   3 Product Axioms Two Forms
  265.    wt: 1:   2 Addition and Multiplication Axioms
  266.    wt: 1:   5 Greater More Less Than Signs in General
  267.    wt: 1:   3 More and Less Than with Unlike Signs
  268.    wt: 1:   12 Real Number Additive Inverses or Negatives
  269.    wt: 1:   9 Coordinates for Regions in Space
  270.    wt: 1:   8 Coordinates for Maps and Planes
  271.    wt: 1:   5 Rational Numbers More
  272.    wt: 1:   2 Integers
  273.    wt: 1:   5 Independent versus Dependent Variables
  274.    wt: 1:   3 Geometric Formulas and Function Notation
  275.    wt: 1:   2 Computation Rules Evaluation
  276.    wt: 1:   1 Formulas Dependence and Function Notation
  277.    wt: 1:   More Exercises
  278.    wt: 1:   2 GE II Comparison
  279.    wt: 1:   6 Algebraic Solution Example
  280.    wt: 1:   5 Algebraic Solutions Introduction
  281.    wt: 1:   9 Three Examples
  282.    wt: 1:   6 Three Examples
  283.    wt: 1:   5 Three Examples
  284.    wt: 1:   Using Letters for Physical Quantities
  285.    wt: 1:   13 Naming Identifying Formulas with Words
  286.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  287.    wt: 1:   8 Compound Interest Formula Evaluation
  288.    wt: 1:   7 Compound Interest Formula Introduction
  289.    wt: 1:   5 Box Volume Formula Example
  290.    wt: 1:   4 Circle Area Formula Example
  291.    wt: 1:   3 Triangle Area Formula Example
  292.    wt: 1:   2 Venn Diagrams
  293.    wt: 1:   6 Three Notions of What is a Variable
  294.    wt: 1:   4 A Brief Story of numbers and algebra
  295.    wt: 1:   2 What is a Variable
  296.    wt: 1:   arithmetic videos Real Player Format
  297.    wt: 1:   4 Greater More Less Than Signs in General
  298.    wt: 1:   5 Square Roots with primes more still
  299.    wt: 1:   4 Square Roots with primes more
  300.    wt: 1:   2 Square Roots with Prime
  301.    wt: 1:   2 Least Common Multiple LCM intro via list method
  302.    wt: 1:   2 Counting with Tables and Trees I
  303.    wt: 1:   4 signed coordinates for regions in space
  304.    wt: 1:   3 signed coordinates for maps and planes
  305.    wt: 1:   2 signed and unsigned numbers as coordinates
  306.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  307.    wt: 1:   2 Equality and Units
  308.    wt: 1:   D Three Term Ratios
  309.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  310.    wt: 1:   21 Working With Signs
  311.    wt: 1:   20 Dividing Fractions the Why
  312.    wt: 1:   13 Fraction Comparison Algebraic View
  313.    wt: 1:   12 Fraction Comparison
  314.    wt: 1:   11 Simplification an Algebraic View
  315.    wt: 1:   6 Multiplication Algebraically Take II
  316.    wt: 1:   2 Unit Fraction Multiplication
  317.    wt: 1:   11 Adding Integers Formulas and Examples
  318.    wt: 1:   10 Integer Multiplication Formulas
  319.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  320.    wt: 1:   21 Remainder Arithmetic Modulo 3
  321.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  322.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  323.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  324.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  325.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  326.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  327.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  328.    wt: 1:   20 Uniqueness of Prime Factorization
  329.    wt: 1:   15 video Factors of 20 using Prime Factorization
  330.    wt: 1:   14 video Factors of 24 Take II
  331.    wt: 1:   13 video Factors of 24 using prime
  332.    wt: 1:   12 LCD GCD and LCM using Primes
  333.    wt: 1:   10 video Prime Factorization upto 23 squared
  334.    wt: 1:   2 Prime and Composites less than 16
  335.    wt: 1:   Long Division Backwards more
  336.    wt: 1:   Long Division forwards and backwards Example 3
  337.    wt: 1:   Long Division forwards and backwards Example 1
  338.    wt: 1:   12 Why Long Division Works Take III
  339.    wt: 1:   4 Division with 2 Digit Divsors
  340.    wt: 1:   2 Division with Single Digit Divisors
  341.    wt: 1:   A Elementary Basis for Multiplication Methods
  342.    wt: 1:   4 Two and Three Digit Multipliers
  343.    wt: 1:   3 More One Digit Multipliers
  344.    wt: 1:   2 One Digit Multipliers
  345.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  346.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  347.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  348.    wt: 1:   5 A Tip for Efficent Subtraction
  349.    wt: 1:   2 Subtraction Easy Case Examples
  350.    wt: 1:   8 What skills and work habits to require
  351.    wt: 1:   2 Decimal Counting Practices
  352.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  353.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  354.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  355.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  356.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  357.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  358.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  359.    wt: 1:   Quick history of numbers and algebra
  360.    wt: 1:   Formula Evaluation how to show work
  361.    wt: 1:   The 20 Times Table
  362.    wt: 1:   The 12 Times Table Visually
  363.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  364.    wt: 1:   012 Division of Time Intervals by Time Intervals
  365.    wt: 1:   2 Time and Date Matters in School
  366.    wt: 1:   1 Intro of Kids To Time Date Skills
  367.    wt: 1:   Example 2 volume of a cone
  368.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  369.    wt: 1:   Example 2
  370.    wt: 1:   Area Between Curves Lesson Take 2
  371.    wt: 1:   2 Indefinite Integrals Exercises
  372.    wt: 1:   2 Second derivative test prequel
  373.    wt: 1:   29 Chain Rule Optional Reading
  374.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  375.    wt: 1:   26 Chain Rule Recognising outer inner functions
  376.    wt: 1:   25 Chain Rule Animated Examples Continued
  377.    wt: 1:   24 Chain Rule Animated Examples
  378.    wt: 1:   23 Chain Rule in general
  379.    wt: 1:   19 Chain Rule for linear functions
  380.    wt: 1:   14 sine and cosine derivatives 2nd step
  381.    wt: 1:   12 Quotient rule examples
  382.    wt: 1:   10 Power rule for negative integers
  383.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  384.    wt: 1:   11 Limits at infinity Three Examples
  385.    wt: 1:   10 Three one sided limits with infinite values
  386.    wt: 1:   3 Decimal insights for limits continuity convergence
  387.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  388.    wt: 1:   F.2 Closed Range Theorem
  389.    wt: 1:   D2 Limits of Monotone Sequences
  390.    wt: 1:   PostScript For and Against Decimal Perspectives
  391.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  392.    wt: 1:   Chapter 23 Links To Trigonometry
  393.    wt: 1:   Chapter 21 Arrow Addition
  394.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  395.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  396.    wt: 1:   Chapter 12. Units and Slopes
  397.    wt: 1:   Chapter 4. More Slope Sign Analysis
  398.    wt: 1:   Chapter 2. Slopes and Ski Trails
  399.    wt: 1:   Foreword
  400.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  401.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  402.    wt: 1:   Chapter 28 Occurrence Tables
  403.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  404.    wt: 1:   Chapter 25. Mathematical Induction Examples
  405.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  406.    wt: 1:   Chapter 21. Third Reading Guide
  407.    wt: 1:   Chapter 20. Degrees and Radians
  408.    wt: 1:   Chapter 12. Shorthand Usage Guide
  409.    wt: 1:   Solutions For Arithmetic Exercises
  410.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  411.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  412.    wt: 1:   Foreword
  413.    wt: 1:   Postscript A Three Remarks
  414.    wt: 1:   Chapter 12 Four Phases
  415.    wt: 1:   Chapter 3 Algebra Difficulties
  416.    wt: 1:   Foreword
  417.    wt: 1:   Postscript C Consistency as a Tool for Reason
  418.    wt: 1:   Postscript B More on Story Telling and Reason
  419.    wt: 1:   Chapter 24 Direct and Indirect Reason
  420.    wt: 1:   Chapter 23 Truth Tables
  421.    wt: 1:   Chapter 21 Occurrence Tables
  422.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  423.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  424.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  425.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  426.    wt: 1:   Chapter 2 Skill Development
  427.    wt: 1:   Three Remarks
  428.    wt: 1:   Foreword
  429.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  430.    wt: 1:   S Adding words to algebra
  431.    wt: 1:   R Why Learn Mathematics Skills
  432.    wt: 1:   N Mathematics Prepare for College Studies
  433.    wt: 1:   L Skills with take home value
  434.    wt: 1:   J. More on written work and showing skill
  435.    wt: 1:   I. Logic and language skills
  436.    wt: 1:   H more Routine to non routine problem solving
  437.    wt: 1:   How to Build Skills and Confidence
  438.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  439.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  440.    wt: 1:   Chapter 3 Algebra Starter Lessons
  441.    wt: 1:   Chapter 2 Why Sets
  442.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  443.    wt: 1:   7 Games and Activities for Instruction
  444.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  445.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  446.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  447.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  448.    wt: 1:   Systematic Algebra Skill Development Missing Links
  449.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  450.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  451.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  452.    wt: 1:   Talking pdf files for online lessons a webvideo alternative
  453.    wt: 1:   The Math Forum and Site Content

Extended Search

893 matches:

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

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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