Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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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48 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 7:   4 Remainder Arithmetic and Divisibility/
  5.    wt: 6:   11 Squares and Square Roots/
  6.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  7.    wt: 6:   9 Combinatorics Trees Tables and Products/
  8.    wt: 6:   8 Arithmetic with Signed Numbers/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   D Decimal Long Division Methods/
  11.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  12.    wt: 6:   A Decimal Counting and Adding Methods/
  13.    wt: 5:   5 Integers/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Volume 1A Regles et modeles/
  22.    wt: 1:   francais/
  23.    wt: 1:   Mathematics Skills Year by Year/
  24.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  25.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  26.    wt: 1:   12 Function Translating and Rescaling/
  27.    wt: 1:   11 Parallel Straight Lines and Transversals/
  28.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  29.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  30.    wt: 1:   7 Complex Numbers/
  31.    wt: 1:   6 Trigonometry first steps/
  32.    wt: 1:   5 What is Similarity/
  33.    wt: 1:   4 Lines and Slopes Take 1/
  34.    wt: 1:   3 Cartesian and Polar Coordinates/
  35.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  36.    wt: 1:   B Real Numbers Extrinsic Development/
  37.    wt: 1:   A Origins of Counting and Figuring Methods/
  38.    wt: 1:   9 Proportionality Backwards and Forwards/
  39.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  40.    wt: 1:   5 Real Numbers/
  41.    wt: 1:   4 Computation Rules and Function Notation/
  42.    wt: 1:   Time Date Matters/
  43.    wt: 1:   Skills with take home value/
  44.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  45.    wt: 1:   13 Lessons on Limits and Continuity/
  46.    wt: 1:   Volume 2 Three Skills For Algebra/
  47.    wt: 1:   Work and Study Tips/
  48.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

485 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  3.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  4.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 3:   What is and is not here
  6.    wt: 3:   8 Division and Mulplication of Compound Fractions
  7.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  8.    wt: 3:   B Fractions and Two Term Ratios
  9.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  10.    wt: 3:   9 Improper Fractions and Mixed Numbers
  11.    wt: 3:   Quick history of numbers and algebra
  12.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  13.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  14.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  15.    wt: 2:   Ramblings Extrinsic numbers theory
  16.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  17.    wt: 2:   2 Reading and Writing Skills
  18.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  19.    wt: 2:   6 Set Existence Formation and Notation
  20.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  21.    wt: 2:   4 Polynomials Long division linear divisor
  22.    wt: 2:   Vector and Complex Number Applet
  23.    wt: 2:   7 Tangent Function is odd on this domain
  24.    wt: 2:   17D cis formulas for sine cosines and tangent
  25.    wt: 2:   17A The complex number valued trig function cis
  26.    wt: 2:   14 cosine even and sine and tangent are odd
  27.    wt: 2:   12 cis formulas for sine cosines and tangent
  28.    wt: 2:   9 The complex number valued trig function cis
  29.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  30.    wt: 2:   3 Trigonometric Ratios sine and cosine
  31.    wt: 2:   7 Exercises to test skill and concept mastery
  32.    wt: 2:   PS H Distributive Law For Complex Numbers
  33.    wt: 2:   6 Ruler and compass Angle Bisection
  34.    wt: 2:   3 Lengths and Areas on Maps and Plans
  35.    wt: 2:   musings do not puiblish real numbers
  36.    wt: 2:   11 Signed Number Addition and Addition Properties
  37.    wt: 2:   B Decimal Comparison and Subtraction
  38.    wt: 2:   5 Distributive Law for Whole Numbers
  39.    wt: 2:   2 Combing Counts Addition Skills and Principles
  40.    wt: 2:   4 Rates Ratios and Proporitionality
  41.    wt: 2:   4 Subtraction and Division Axioms
  42.    wt: 2:   4 Comparison of Negative Numbers
  43.    wt: 2:   2 More and Less Than for Counts and Measures
  44.    wt: 2:   1 Real Numbers Comparison
  45.    wt: 2:   16 Real Numbers Comparison
  46.    wt: 2:   15 Real Number Division
  47.    wt: 2:   10 Real Number Lengths and Signs
  48.    wt: 2:   1 Whole and Natural Numbers
  49.    wt: 2:   9 Sets in Probability and Statistics
  50.    wt: 2:   5 Talking about Numbers and Quantities
  51.    wt: 2:   4 A Brief Story of numbers and algebra
  52.    wt: 2:   3 Comparison of Negative Numbers
  53.    wt: 2:   1 More and Less Than for Counts and Measures
  54.    wt: 2:   11 What are real lengths and numbers
  55.    wt: 2:   5 lengths and signs of numbers
  56.    wt: 2:   2 signed and unsigned numbers as coordinates
  57.    wt: 2:   3 Multiplying Units and Numbers
  58.    wt: 2:   21 Reciprocals for Fractions and Wholes
  59.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  60.    wt: 2:   Division with Counts and Length
  61.    wt: 2:   Long Division forwards and backwards Example 3
  62.    wt: 2:   Long Division forwards and backwards Example 2
  63.    wt: 2:   Long Division forwards and backwards Example 1
  64.    wt: 2:   10 Division by Five Long and Short Ways
  65.    wt: 2:   7 Long Divison Mistake Catching
  66.    wt: 2:   3 Division Single Digit Divisor Example
  67.    wt: 2:   2 Division with Single Digit Divisors
  68.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  69.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  70.    wt: 2:   8 What skills and work habits to require
  71.    wt: 2:   6. Counting and adding units and mixed units
  72.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  73.    wt: 2:   Exact Arithmetic Wholes and Fractions
  74.    wt: 2:   011 Division of Time Intervals By Numbers
  75.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  76.    wt: 2:   38 Formulas and derivatives for powers and roots
  77.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  78.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  79.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  80.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  81.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  82.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  83.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  84.    wt: 2:   I. Logic and language skills
  85.    wt: 2:   How to Build Skills and Confidence
  86.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  87.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  88.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  89.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  90.    wt: 1:   Appendix 1 primary and preschool mathematic
  91.    wt: 1:   G LAMP Introduction Problem Solving Skills
  92.    wt: 1:   F LAMP Introduction Prerequisites
  93.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  94.    wt: 1:   Skills Chapter 5 Calculus
  95.    wt: 1:   Skills Chapter 4 Logic
  96.    wt: 1:   Skills Chapter 3 Algebra
  97.    wt: 1:   Skills Chapter 2 Geometry
  98.    wt: 1:   Skills Chapter 1 Arithmetic
  99.    wt: 1:   Skills Chapter 0 Introduction
  100.    wt: 1:   10 statistics
  101.    wt: 1:   7 logic review and decimals an odd combination
  102.    wt: 1:   5 logarithms and exponentials etc
  103.    wt: 1:   2 arithmetic with signed numbers
  104.    wt: 1:   1 arithmetic with unsigned numbers
  105.    wt: 1:   What is POMME
  106.    wt: 1:   permissions for teachers
  107.    wt: 1:   key notes and themes
  108.    wt: 1:   what should be learnt and When
  109.    wt: 1:   Education Reform Inconsistencies
  110.    wt: 1:   standards for course material
  111.    wt: 1:   Theory of Knowledge
  112.    wt: 1:   Education in mathematics science and technology
  113.    wt: 1:   Motivation and Context Problem
  114.    wt: 1:   fairness and inductive principles for instruction
  115.    wt: 1:   chapitre 12 00 les iles et division
  116.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  117.    wt: 1:   chapitre 06 00 Chaines de la raison
  118.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  119.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  120.    wt: 1:   Trois Notions qui menent a algebre
  121.    wt: 1:   2 Conductance Resistance Duality02
  122.    wt: 1:   1 Conductance Resistance Duality01
  123.    wt: 1:   F Wire Resistance Calculation04
  124.    wt: 1:   E Wire Resistance Calculation03
  125.    wt: 1:   D Wire Resistance Calculation02
  126.    wt: 1:   C Wire Resistance Calculation01
  127.    wt: 1:   B Wire Resistance Qualitative02
  128.    wt: 1:   A Wire Resistance Qualitative01
  129.    wt: 1:   3 Like resistors in parallel
  130.    wt: 1:   2 Unlike resistors in parallel01
  131.    wt: 1:   1 Like resistors in series
  132.    wt: 1:   F Unlike Resistors in Series
  133.    wt: 1:   Home Tutoring and Home Schooling
  134.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  135.    wt: 1:   24 Standards For Skill Develoment Take II
  136.    wt: 1:   24 Standards For Skill Develoment
  137.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  138.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  139.    wt: 1:   17 Math Booklets for children and young teenagers
  140.    wt: 1:   14 Multiplication and Times Tables
  141.    wt: 1:   13 Addition and Addition Tables
  142.    wt: 1:   12 Goals and Objectives For Mathematics
  143.    wt: 1:   11 Help and Defend Your Child or Teens Education
  144.    wt: 1:   5 Patience Please for Yourself and Your Charges
  145.    wt: 1:   4 Learning Takes Time and Effort
  146.    wt: 1:   1 Speaking Skills
  147.    wt: 1:   Ages 12 to 14 Skills with take home value
  148.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  149.    wt: 1:   sign monoticity analysis example 4
  150.    wt: 1:   sign monoticity analysis example 3
  151.    wt: 1:   sign monoticity analysis example 2
  152.    wt: 1:   sign monoticity analysis example 1
  153.    wt: 1:   26 Function definitions done and coming
  154.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  155.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  156.    wt: 1:   19 Horizontal line rule and method
  157.    wt: 1:   18 Vertical Line Rule and Method
  158.    wt: 1:   17 Function maxima minima and their location
  159.    wt: 1:   15 Sign analysis of functions
  160.    wt: 1:   12 Function Domain Recognition Exercises
  161.    wt: 1:   11 Function Domain Range Source and Targets
  162.    wt: 1:   9 Set theory term relation possible origins
  163.    wt: 1:   8 Set view of relations and functions
  164.    wt: 1:   4 Function notation in and beyond mathematics
  165.    wt: 1:   3 Formula or function graphing exercise
  166.    wt: 1:   10 quadratic exercises
  167.    wt: 1:   9 quadratics physical and further context
  168.    wt: 1:   1 quadratics graphing exercises
  169.    wt: 1:   11 Growth and Decay in Biology
  170.    wt: 1:   10 Exponential Growth and Decay Models
  171.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  172.    wt: 1:   5 Natural Logarithm Calculator Exercises
  173.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  174.    wt: 1:   1 Calculator Starter Exercises
  175.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  176.    wt: 1:   1 Polynomials Distributive Law
  177.    wt: 1:   16 cotangent function Definition Graph and Inverse
  178.    wt: 1:   15 cosecant function Definition Graph and Inverse
  179.    wt: 1:   14 secant function Definition Graph and Inverse
  180.    wt: 1:   13 cosecant function Definition Graph and Inverse
  181.    wt: 1:   5 Swapping Coordinates is a reflection
  182.    wt: 1:   9 Summary Degrees to Radians and back
  183.    wt: 1:   1 Degrees and Radians Introduction
  184.    wt: 1:   A Global Time and Navigation
  185.    wt: 1:   15 Dot and Cross Product
  186.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  187.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  188.    wt: 1:   Parallel Lines and Parallel Transversals
  189.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  190.    wt: 1:   Parallel Lines and Interior Angles
  191.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  192.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  193.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  194.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  195.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  196.    wt: 1:   29 secant cosecant and cotangent for acute angles
  197.    wt: 1:   27 Logarithmic use of products of sines and cosines
  198.    wt: 1:   26 Formulas for products of sines and cosines
  199.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  200.    wt: 1:   21 sine and cosine Half Angle Formulas
  201.    wt: 1:   20 sine and cosine Double Angle Formulas
  202.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  203.    wt: 1:   17E Trig Formulas for dot and cross Products
  204.    wt: 1:   17C sine and cosine double triple angle formulas
  205.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  206.    wt: 1:   10 Graphs of sines and cosines many periods
  207.    wt: 1:   9 Graphs of sine and cosine over one period
  208.    wt: 1:   7 period of sine and cosine
  209.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  210.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  211.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  212.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  213.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  214.    wt: 1:   21 Logarithms Powers and Exponentials
  215.    wt: 1:   20 N th Roots of Complex Numbers
  216.    wt: 1:   16 References and Originality Question
  217.    wt: 1:   13 Trig Formulas for dot and cross Products
  218.    wt: 1:   11 sine and cosine double triple angle formulas
  219.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  220.    wt: 1:   6 Field Properties of Complex Number
  221.    wt: 1:   5 An Easy Proof of the Distributive Law
  222.    wt: 1:   2 Complex Numbers made easier we hope
  223.    wt: 1:   Appetizer A Complex Number Applet
  224.    wt: 1:   7 Trignometric Ratios Unit Circle
  225.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  226.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  227.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  228.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  229.    wt: 1:   11 Triangle Similarity Missing Side Problem
  230.    wt: 1:   8 Similarity of Triangles and Polygons
  231.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  232.    wt: 1:   Four Simple Exercises
  233.    wt: 1:   10 Midpoint of [a b] and [b a]
  234.    wt: 1:   1 Numerical view of lines and their equations
  235.    wt: 1:   13 Pythagorean spatial distance formulas
  236.    wt: 1:   10 Pythagorean plane distance formula
  237.    wt: 1:   8 Distance Between Points on a Line
  238.    wt: 1:   7 Complex Numbers Appetizer
  239.    wt: 1:   6 Polar Multiplication and Rotation
  240.    wt: 1:   5 Cartesian Addition and Translation
  241.    wt: 1:   4 Polar Coordinates to and from
  242.    wt: 1:   PS G Rotation Distributes over Addition
  243.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  244.    wt: 1:   17 Right Bisectors of Triangle Sides
  245.    wt: 1:   16 Angles Subtended By Chords and Diameters
  246.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  247.    wt: 1:   9 Construction of a right bisector
  248.    wt: 1:   8 Isoceles Triangles
  249.    wt: 1:   3 Isometry of Triangles Congruence
  250.    wt: 1:   1 Initial Concepts and Terms
  251.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  252.    wt: 1:   A Modular and Remainder Arithmetic
  253.    wt: 1:   A Signed Number Arithmetic Review
  254.    wt: 1:   26 More Less Greater Than Comparison
  255.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  256.    wt: 1:   23 Distributive Law Two Derivations
  257.    wt: 1:   22 Multiplication of Signed Numbers
  258.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  259.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  260.    wt: 1:   13 Arrows and Vectors in a Plane
  261.    wt: 1:   12 Real Numbers Line Signed Coordinates
  262.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  263.    wt: 1:   9 Division with Digits after Decimal Point
  264.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  265.    wt: 1:   1 Fractions with Finite Decimal Expansions
  266.    wt: 1:   E Long Division Methods more
  267.    wt: 1:   D Long Division Methods
  268.    wt: 1:   3 Multiplicative Counting Skills Principles
  269.    wt: 1:   1 The Counting Origins of Numbers
  270.    wt: 1:   5 Areas of Rectangles Revisited
  271.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  272.    wt: 1:   5 Proportionality in Equivalent Fractions
  273.    wt: 1:   1 What is Proportionality
  274.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  275.    wt: 1:   6 Compound Interest Forward and Backwards
  276.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  277.    wt: 1:   6 Equations and Systems Equivalent or Implied
  278.    wt: 1:   2 Addition and Multiplication Axioms
  279.    wt: 1:   3 More and Less Than with Unlike Signs
  280.    wt: 1:   14 Real Number Multiplication
  281.    wt: 1:   13 Real Number Subtraction
  282.    wt: 1:   12 Real Number Additive Inverses or Negatives
  283.    wt: 1:   11 Real Number Addition
  284.    wt: 1:   8 Coordinates for Maps and Planes
  285.    wt: 1:   7 Real Numbers as Line Cordinates
  286.    wt: 1:   6 Unsigned Real Numbers
  287.    wt: 1:   5 Rational Numbers More
  288.    wt: 1:   4 Rational Numbers
  289.    wt: 1:   3 Fractions
  290.    wt: 1:   3 Geometric Formulas and Function Notation
  291.    wt: 1:   1 Formulas Dependence and Function Notation
  292.    wt: 1:   More Exercises
  293.    wt: 1:   Simple Exercises
  294.    wt: 1:   3 GE III Equation Addition and Multiplication
  295.    wt: 1:   2 GE II Comparison
  296.    wt: 1:   4 Solving a triangular system exercise
  297.    wt: 1:   2 Essentially one exercises three with solution
  298.    wt: 1:   1 Written work formats for developing and showing skill
  299.    wt: 1:   8 Sets of Numbers
  300.    wt: 1:   6 Three Notions of What is a Variable
  301.    wt: 1:   2 What is a Variable
  302.    wt: 1:   1 Three Skills For Algebra
  303.    wt: 1:   2 More and Less Than with Unlike Signs
  304.    wt: 1:   1 Squares and Square Roots Introduction
  305.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  306.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  307.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  308.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  309.    wt: 1:   7 GCD and LCM from prime factorization
  310.    wt: 1:   5 Common Divisors 60 45 via Prime
  311.    wt: 1:   4 LCM of 8 and 10 via Prime
  312.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  313.    wt: 1:   2 Least Common Multiple LCM intro via list method
  314.    wt: 1:   3 Counting with Tables and Trees II
  315.    wt: 1:   2 Counting with Tables and Trees I
  316.    wt: 1:   1 Counting and Counting Methods I
  317.    wt: 1:   10 dividing signed numbers
  318.    wt: 1:   9 subtracting signed numbers
  319.    wt: 1:   8 multiplying signed numbers
  320.    wt: 1:   7 negative and additive inverse
  321.    wt: 1:   6 adding signed numbers
  322.    wt: 1:   3 signed coordinates for maps and planes
  323.    wt: 1:   6 Simplification of Fractions with Units
  324.    wt: 1:   4 Fractions with Units
  325.    wt: 1:   2 Equality and Units
  326.    wt: 1:   1 Addition and Subtraction with Units
  327.    wt: 1:   D Three Term Ratios
  328.    wt: 1:   22 Complex Compound Fractions
  329.    wt: 1:   20 Dividing Fractions the Why
  330.    wt: 1:   19 Dividing Fractions How TO
  331.    wt: 1:   17 Efficient Ways to Add and Subtract
  332.    wt: 1:   16 Addition Subtraction Comparision Compared
  333.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  334.    wt: 1:   14 Adding and Subtracting with Like Denominators
  335.    wt: 1:   13 Fraction Comparison Algebraic View
  336.    wt: 1:   12 Fraction Comparison
  337.    wt: 1:   6 Multiplication of Mixed Numbers
  338.    wt: 1:   5 Equivalent Fractions
  339.    wt: 1:   1 What is a fraction Take II
  340.    wt: 1:   1 What is a fraction
  341.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  342.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  343.    wt: 1:   B Integer Long Division Multiple Choices
  344.    wt: 1:   11 Adding Integers Formulas and Examples
  345.    wt: 1:   8 Multiplication by Signed Numbers Integers
  346.    wt: 1:   6 Multiplication by Natural Numbers
  347.    wt: 1:   5 Zero Movement and Additive Inverses
  348.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  349.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  350.    wt: 1:   26 Divisibility by 2 3 5 Example
  351.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  352.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  353.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  354.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  355.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  356.    wt: 1:   17 Identify and Count Factors using Primes
  357.    wt: 1:   12 LCD GCD and LCM using Primes
  358.    wt: 1:   7 Calculator Usage Notes and Cautions
  359.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  360.    wt: 1:   5 Prime Factorization and a Square Rule
  361.    wt: 1:   3 video Primes and Composites from 9 times table
  362.    wt: 1:   2 Prime and Composites less than 16
  363.    wt: 1:   Long Division Backwards more
  364.    wt: 1:   Long Division Backward
  365.    wt: 1:   12 Why Long Division Works Take III
  366.    wt: 1:   11 Another Single Digit Divisor Example
  367.    wt: 1:   9 Why Long Division Works Take II
  368.    wt: 1:   8 Correcting the Mistake
  369.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  370.    wt: 1:   5 Long Division Include Zeroes or not
  371.    wt: 1:   4 Division with 2 Digit Divsors
  372.    wt: 1:   A Elementary Basis for Multiplication Methods
  373.    wt: 1:   4 Two and Three Digit Multipliers
  374.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  375.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  376.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  377.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  378.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  379.    wt: 1:   7 Adding decimal fractions using decimal point
  380.    wt: 1:   11 Place Value SI Standard International way
  381.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  382.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  383.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  384.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  385.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  386.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  387.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  388.    wt: 1:   The 12 Times Table Visually
  389.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  390.    wt: 1:   016 Numbering Occidental Calendar Days
  391.    wt: 1:   015 School and work day counting tables
  392.    wt: 1:   012 Division of Time Intervals by Time Intervals
  393.    wt: 1:   6 How long is a million seconds
  394.    wt: 1:   4 Mixing and Changing Units of Time
  395.    wt: 1:   3 Units and Lengths of Time
  396.    wt: 1:   2 Time and Date Matters in School
  397.    wt: 1:   1 Intro of Kids To Time Date Skills
  398.    wt: 1:   Example 1. Area Between x and x squared
  399.    wt: 1:   5 Area Under Curve Exercise
  400.    wt: 1:   4 Definite Integrals Evaluation Exercises
  401.    wt: 1:   3 Two Chain Rule Method Exercises
  402.    wt: 1:   2 Indefinite Integrals Exercises
  403.    wt: 1:   4 Second derivative test exercise example
  404.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  405.    wt: 1:   26 Chain Rule Recognising outer inner functions
  406.    wt: 1:   17 Derivatives of quotients of sine and cosine
  407.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  408.    wt: 1:   15 sine and cosine derivatives 3rd step
  409.    wt: 1:   14 sine and cosine derivatives 2nd step
  410.    wt: 1:   13 sine and cosine derivatives 1st step
  411.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  412.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  413.    wt: 1:   9 Limits Continuity and Composition
  414.    wt: 1:   5 Jumps and absence of unlimited error control
  415.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  416.    wt: 1:   PostScript For and Against Decimal Perspectives
  417.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  418.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  419.    wt: 1:   Chapter 22 Complex Numbers
  420.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  421.    wt: 1:   Chapter 12. Units and Slopes
  422.    wt: 1:   Chapter 10 Slopes and Units
  423.    wt: 1:   Chapter 7 Slopes and Velocity
  424.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  425.    wt: 1:   Chapter 4. More Slope Sign Analysis
  426.    wt: 1:   Chapter 3. Slope Sign Analysis
  427.    wt: 1:   Chapter 2. Slopes and Ski Trails
  428.    wt: 1:   Appendix E. How To Study Mathematics and Why
  429.    wt: 1:   Appendix D. What to do in School and Why
  430.    wt: 1:   Chapter 31 Direct and Indirect Reason
  431.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  432.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  433.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  434.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  435.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  436.    wt: 1:   Chapter 20. Degrees and Radians
  437.    wt: 1:   Chapter 19. Functions and Sets
  438.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  439.    wt: 1:   Chapter 12. Shorthand Usage Guide
  440.    wt: 1:   Chapter 11. Why Shorthand
  441.    wt: 1:   Chapter 10 Describing and Changing Calculations
  442.    wt: 1:   Postscript What is a Variable
  443.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  444.    wt: 1:   Chapter 8 Three Skills For Algebra
  445.    wt: 1:   Solutions For Arithmetic Exercises
  446.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  447.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  448.    wt: 1:   Chapter 2 For and Against Mathematics
  449.    wt: 1:   Postscript C Consistency as a Tool for Reason
  450.    wt: 1:   Postscript B More on Story Telling and Reason
  451.    wt: 1:   Chapter 24 Direct and Indirect Reason
  452.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  453.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  454.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  455.    wt: 1:   Chapter 18 Sense and Knowledge
  456.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  457.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  458.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  459.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  460.    wt: 1:   R Why Learn Mathematics Skills
  461.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  462.    wt: 1:   O On Learning Mathematics and Science
  463.    wt: 1:   L Skills with take home value
  464.    wt: 1:   N Improving Marks on Tests and Finals
  465.    wt: 1:   J. More on written work and showing skill
  466.    wt: 1:   H Jigsaw puzzles and problem solving
  467.    wt: 1:   G. Written work formats for developing and showing skill
  468.    wt: 1:   E. When and how to correct errors
  469.    wt: 1:   Chapter 8 Skipped Topics and Why
  470.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  471.    wt: 1:   Chapter 6 More Algebra and Geometry
  472.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  473.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  474.    wt: 1:   7 Games and Activities for Instruction
  475.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  476.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  477.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  478.    wt: 1:   Helping the Blind in Logic and Mathematics
  479.    wt: 1:   More Algebra and Slope based Calculus Preview
  480.    wt: 1:   Systematic Algebra Skill Development Missing Links
  481.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  482.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  483.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  484.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  485.    wt: 1:   The Math Forum and Site Content

Extended Search

805 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   3 Multiplying Units and Numbers
  3.    wt: 9:   21 Working With Signs
  4.    wt: 9:   18 Efficient Ways to Multiply
  5.    wt: 9:   11 Simplification an Algebraic View
  6.    wt: 9:   8 Numerals Fractionals Quantals Take II
  7.    wt: 9:   7 Numerals Fractionals Quantals
  8.    wt: 9:   6 Multiplication Algebraically Take II
  9.    wt: 9:   4 Fraction Multiplication
  10.    wt: 9:   3 Unit fraction of a fraction
  11.    wt: 9:   2 Unit Fraction Multiplication
  12.    wt: 8:   4 Greater More Less Than Signs in General
  13.    wt: 8:   11 What are real lengths and numbers
  14.    wt: 8:   5 lengths and signs of numbers
  15.    wt: 8:   2 signed and unsigned numbers as coordinates
  16.    wt: 8:   6 Simplification of Fractions with Units
  17.    wt: 8:   4 Fractions with Units
  18.    wt: 8:   2 Equality and Units
  19.    wt: 8:   1 Addition and Subtraction with Units
  20.    wt: 8:   A Decimals Modular and Remainder Arithmetic
  21.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
  22.    wt: 8:   26 Divisibility by 2 3 5 Example
  23.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
  24.    wt: 8:   24 Divisibility Tests for 2 3 5 9 10
  25.    wt: 8:   11 Remainder Arithmetic Long Division by 5 Quickly more
  26.    wt: 8:   10 Remainder Arithmetic Long Division by 5 Quickly
  27.    wt: 8:   9 Remainder Arithmetic Divisibility by 5
  28.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  29.    wt: 8:   Division with Counts and Length
  30.    wt: 8:   Long Division forwards and backwards Example 3
  31.    wt: 8:   Long Division forwards and backwards Example 2
  32.    wt: 8:   Long Division forwards and backwards Example 1
  33.    wt: 8:   10 Division by Five Long and Short Ways
  34.    wt: 8:   7 Long Divison Mistake Catching
  35.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
  36.    wt: 8:   3 Division Single Digit Divisor Example
  37.    wt: 8:   2 Division with Single Digit Divisors
  38.    wt: 8:   7 Subtraction for Decimal Fractions with Exercises
  39.    wt: 8:   6 Subtraction with Conversion Example with Exercises
  40.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  41.    wt: 8:   8 What skills and work habits to require
  42.    wt: 8:   6. Counting and adding units and mixed units
  43.    wt: 8:   Quick history of numbers and algebra
  44.    wt: 7:   1 Squares and Square Roots Introduction
  45.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  46.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  47.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  48.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  49.    wt: 7:   7 GCD and LCM from prime factorization
  50.    wt: 7:   5 Common Divisors 60 45 via Prime
  51.    wt: 7:   4 LCM of 8 and 10 via Prime
  52.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
  53.    wt: 7:   2 Least Common Multiple LCM intro via list method
  54.    wt: 7:   3 Counting with Tables and Trees II
  55.    wt: 7:   2 Counting with Tables and Trees I
  56.    wt: 7:   1 Counting and Counting Methods I
  57.    wt: 7:   10 dividing signed numbers
  58.    wt: 7:   9 subtracting signed numbers
  59.    wt: 7:   8 multiplying signed numbers
  60.    wt: 7:   7 negative and additive inverse
  61.    wt: 7:   6 adding signed numbers
  62.    wt: 7:   3 signed coordinates for maps and planes
  63.    wt: 7:   7 Converting or Changing Units
  64.    wt: 7:   6 Multiplication by Natural Numbers
  65.    wt: 7:   23 Remainder Arithmetic Modulo 2
  66.    wt: 7:   22 Remainder Arithmetic Modulo 3 more
  67.    wt: 7:   21 Remainder Arithmetic Modulo 3
  68.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  69.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  70.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  71.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  72.    wt: 7:   16 Remainder Arithmetic Modulo 9 Example 2
  73.    wt: 7:   15 Remainder Arithmetic Modulo 9 Example
  74.    wt: 7:   14 Remainder Arithmetic Modulo 9 Example
  75.    wt: 7:   13 Remainder Arithmetic Modulo 5 Example
  76.    wt: 7:   12 Remainder Arithmetic Modulo 10 Example
  77.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  78.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  79.    wt: 7:   6 Remainder Arithmetic Modulo 5 Propertie
  80.    wt: 7:   5 Remainder Arithmetic Modulo 5
  81.    wt: 7:   4 Remainder Arithmetic Modulo 10 in general
  82.    wt: 7:   3 Remainder Arithmetic Modulos 10 more still
  83.    wt: 7:   2 Remainder Arithmetic Modulo 10 more
  84.    wt: 7:   1 Remainder Arithmetic Modulo 10
  85.    wt: 7:   17 Identify and Count Factors using Primes
  86.    wt: 7:   12 LCD GCD and LCM using Primes
  87.    wt: 7:   7 Calculator Usage Notes and Cautions
  88.    wt: 7:   5 Prime Factorization and a Square Rule
  89.    wt: 7:   3 video Primes and Composites from 9 times table
  90.    wt: 7:   2 Prime and Composites less than 16
  91.    wt: 7:   Long Division Backwards more
  92.    wt: 7:   Long Division Backward
  93.    wt: 7:   12 Why Long Division Works Take III
  94.    wt: 7:   11 Another Single Digit Divisor Example
  95.    wt: 7:   9 Why Long Division Works Take II
  96.    wt: 7:   8 Correcting the Mistake
  97.    wt: 7:   5 Long Division Include Zeroes or not
  98.    wt: 7:   4 Division with 2 Digit Divsors
  99.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  100.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  101.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  102.    wt: 7:   Appendix 1 Counting Revisited 15 minute video
  103.    wt: 7:   7 Adding decimal fractions using decimal point
  104.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  105.    wt: 7:   Exact Arithmetic Wholes and Fractions
  106.    wt: 6:   5 Square Roots with primes more still
  107.    wt: 6:   4 Square Roots with primes more
  108.    wt: 6:   3 Properties of Square Roots with example
  109.    wt: 6:   2 Square Roots with Prime
  110.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  111.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  112.    wt: 6:   13 GCD from given Prime Factorization
  113.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  114.    wt: 6:   8 GCD from Euclidean Algorithm
  115.    wt: 6:   6 GCD from Prime
  116.    wt: 6:   1 Least Common Multiples LCM Introduction
  117.    wt: 6:   12 GCD 2700 288 via Prime
  118.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  119.    wt: 6:   4 Counting with Trees Product Rule Take I
  120.    wt: 6:   4 signed coordinates for regions in space
  121.    wt: 6:   C Divisibility by 11 Integer Recognition Method
  122.    wt: 6:   B Integer Long Division Multiple Choices
  123.    wt: 6:   11 Adding Integers Formulas and Examples
  124.    wt: 6:   8 Multiplication by Signed Numbers Integers
  125.    wt: 6:   5 Zero Movement and Additive Inverses
  126.    wt: 6:   20 Uniqueness of Prime Factorization
  127.    wt: 6:   19 video Prime Factorization Unique
  128.    wt: 6:   18 video Count Factors given Prime Factorization
  129.    wt: 6:   16 video Factors of 980 using prime
  130.    wt: 6:   15 video Factors of 20 using Prime Factorization
  131.    wt: 6:   14 video Factors of 24 Take II
  132.    wt: 6:   13 video Factors of 24 using prime
  133.    wt: 6:   11 Efficient Square Rule Use
  134.    wt: 6:   10 video Prime Factorization upto 23 squared
  135.    wt: 6:   9 video Prime Factorization upto 19 squared
  136.    wt: 6:   8 video Prime Factorization upto 19
  137.    wt: 6:   4 video Prime Factorization Introduction
  138.    wt: 6:   1 video how Products are bigger than factor
  139.    wt: 6:   1 Divsion Physical Examples
  140.    wt: 6:   A Elementary Basis for Multiplication Methods
  141.    wt: 6:   6 Multiplication Commutes Order Not Important
  142.    wt: 6:   4 Two and Three Digit Multipliers
  143.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  144.    wt: 6:   Subtraction with J Conversions Example
  145.    wt: 6:   Subtraction Another Video Lesson
  146.    wt: 6:   9 22 Minute Subtraction Review Video
  147.    wt: 6:   8 Subtraction with Units of Measure
  148.    wt: 6:   5 A Tip for Efficent Subtraction
  149.    wt: 6:   2 Subtraction Easy Case Examples
  150.    wt: 6:   5. How to add decimals C. Examples
  151.    wt: 6:   4. How to add with decimals B with conversions
  152.    wt: 6:   3. How to add with decimals A sans conversions
  153.    wt: 6:   2 Decimal Counting Practices
  154.    wt: 6:   1. Explaining Addition Table
  155.    wt: 6:   11 Place Value SI Standard International way
  156.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  157.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  158.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  159.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  160.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  161.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  162.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  163.    wt: 6:   The 12 Times Table Visually
  164.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  165.    wt: 5:   arithmetic videos Real Player Format
  166.    wt: 5:   D Remainders Modulo 11 Pair Rule
  167.    wt: 5:   A Associative Law Theorectical Note
  168.    wt: 5:   13 Subtraction with Additive Inverse
  169.    wt: 5:   12 Adding Integers More Examples
  170.    wt: 5:   10 Integer Multiplication Formulas
  171.    wt: 5:   9 Multiplying Integers
  172.    wt: 5:   7 Multiplication by Signs
  173.    wt: 5:   4 Adding Movements wiht opposite directions
  174.    wt: 5:   3 Adding Movements with same direction
  175.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  176.    wt: 5:   1 Integers as Coordinates
  177.    wt: 5:   D Decimal Multiplication Methods Derived
  178.    wt: 5:   C Counting Areas with Powers of Ten
  179.    wt: 5:   B Powers of Ten
  180.    wt: 5:   5 Decimal Fraction Multiplication
  181.    wt: 5:   3 More One Digit Multipliers
  182.    wt: 5:   2 One Digit Multipliers
  183.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  184.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  185.    wt: 5:   Video Power Notation in Decimal Expansion
  186.    wt: 5:   1 Why 3 times 5 gives 15
  187.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  188.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  189.    wt: 5:   Formula Evaluation how to show work
  190.    wt: 5:   Expression Evaluation how to show work
  191.    wt: 5:   The 20 Times Table
  192.    wt: 5:   About folder contents
  193.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
  194.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  195.    wt: 4:   Construction Methods and Criteria for Isometric and Similar Triangles
  196.    wt: 4:   What is and is not here
  197.    wt: 4:   6 Ruler and compass Angle Bisection
  198.    wt: 4:   8 Division and Mulplication of Compound Fractions
  199.    wt: 4:   4 Comparison of Negative Numbers
  200.    wt: 4:   2 More and Less Than for Counts and Measures
  201.    wt: 4:   1 Real Numbers Comparison
  202.    wt: 4:   Chapter 12 Islands and Divisions of Knowledge
  203.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  204.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  205.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  206.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  207.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  208.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  209.    wt: 3:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  210.    wt: 3:   7 Tangent Function is odd on this domain
  211.    wt: 3:   12 cis formulas for sine cosines and tangent
  212.    wt: 3:   9 The complex number valued trig function cis
  213.    wt: 3:   6 Field Properties of Complex Number
  214.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  215.    wt: 3:   3 Trigonometric Ratios sine and cosine
  216.    wt: 3:   7 Exercises to test skill and concept mastery
  217.    wt: 3:   6 Polar Multiplication and Rotation
  218.    wt: 3:   PS H Distributive Law For Complex Numbers
  219.    wt: 3:   musings do not puiblish real numbers
  220.    wt: 3:   11 Signed Number Addition and Addition Properties
  221.    wt: 3:   B Decimal Comparison and Subtraction
  222.    wt: 3:   5 Distributive Law for Whole Numbers
  223.    wt: 3:   2 Combing Counts Addition Skills and Principles
  224.    wt: 3:   4 Rates Ratios and Proporitionality
  225.    wt: 3:   4 Subtraction and Division Axioms
  226.    wt: 3:   3 More and Less Than with Unlike Signs
  227.    wt: 3:   16 Real Numbers Comparison
  228.    wt: 3:   15 Real Number Division
  229.    wt: 3:   10 Real Number Lengths and Signs
  230.    wt: 3:   1 Whole and Natural Numbers
  231.    wt: 3:   6 Three Examples
  232.    wt: 3:   011 Division of Time Intervals By Numbers
  233.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  234.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  235.    wt: 3:   I. Logic and language skills
  236.    wt: 3:   How to Build Skills and Confidence
  237.    wt: 3:   7 Games and Activities for Instruction
  238.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  239.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  240.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  241.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  242.    wt: 2:   Ramblings Extrinsic numbers theory
  243.    wt: 2:   chapitre 12 00 les iles et division
  244.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  245.    wt: 2:   chapitre 06 00 Chaines de la raison
  246.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  247.    wt: 2:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  248.    wt: 2:   Trois Notions qui menent a algebre
  249.    wt: 2:   2 Reading and Writing Skills
  250.    wt: 2:   Ages 12 to 14 Skills with take home value
  251.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  252.    wt: 2:   sign monoticity analysis example 4
  253.    wt: 2:   sign monoticity analysis example 3
  254.    wt: 2:   sign monoticity analysis example 2
  255.    wt: 2:   sign monoticity analysis example 1
  256.    wt: 2:   6 Set Existence Formation and Notation
  257.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  258.    wt: 2:   4 Polynomials Long division linear divisor
  259.    wt: 2:   9 Summary Degrees to Radians and back
  260.    wt: 2:   1 Degrees and Radians Introduction
  261.    wt: 2:   Vector and Complex Number Applet
  262.    wt: 2:   Parallel Lines and Parallel Transversals
  263.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  264.    wt: 2:   Parallel Lines and Interior Angles
  265.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  266.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  267.    wt: 2:   17D cis formulas for sine cosines and tangent
  268.    wt: 2:   17A The complex number valued trig function cis
  269.    wt: 2:   14 cosine even and sine and tangent are odd
  270.    wt: 2:   21 Logarithms Powers and Exponentials
  271.    wt: 2:   20 N th Roots of Complex Numbers
  272.    wt: 2:   16 References and Originality Question
  273.    wt: 2:   13 Trig Formulas for dot and cross Products
  274.    wt: 2:   11 sine and cosine double triple angle formulas
  275.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  276.    wt: 2:   5 An Easy Proof of the Distributive Law
  277.    wt: 2:   2 Complex Numbers made easier we hope
  278.    wt: 2:   Appetizer A Complex Number Applet
  279.    wt: 2:   7 Trignometric Ratios Unit Circle
  280.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  281.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  282.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  283.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  284.    wt: 2:   11 Triangle Similarity Missing Side Problem
  285.    wt: 2:   8 Similarity of Triangles and Polygons
  286.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  287.    wt: 2:   Four Simple Exercises
  288.    wt: 2:   10 Midpoint of [a b] and [b a]
  289.    wt: 2:   6 Intersection of lines by solving linear systems
  290.    wt: 2:   1 Numerical view of lines and their equations
  291.    wt: 2:   13 Pythagorean spatial distance formulas
  292.    wt: 2:   10 Pythagorean plane distance formula
  293.    wt: 2:   8 Distance Between Points on a Line
  294.    wt: 2:   7 Complex Numbers Appetizer
  295.    wt: 2:   5 Cartesian Addition and Translation
  296.    wt: 2:   4 Polar Coordinates to and from
  297.    wt: 2:   PS G Rotation Distributes over Addition
  298.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  299.    wt: 2:   17 Right Bisectors of Triangle Sides
  300.    wt: 2:   16 Angles Subtended By Chords and Diameters
  301.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  302.    wt: 2:   9 Construction of a right bisector
  303.    wt: 2:   8 Isoceles Triangles
  304.    wt: 2:   3 Isometry of Triangles Congruence
  305.    wt: 2:   1 Initial Concepts and Terms
  306.    wt: 2:   3 Lengths and Areas on Maps and Plans
  307.    wt: 2:   A Modular and Remainder Arithmetic
  308.    wt: 2:   A Signed Number Arithmetic Review
  309.    wt: 2:   26 More Less Greater Than Comparison
  310.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  311.    wt: 2:   23 Distributive Law Two Derivations
  312.    wt: 2:   22 Multiplication of Signed Numbers
  313.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  314.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  315.    wt: 2:   13 Arrows and Vectors in a Plane
  316.    wt: 2:   12 Real Numbers Line Signed Coordinates
  317.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  318.    wt: 2:   9 Division with Digits after Decimal Point
  319.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  320.    wt: 2:   1 Fractions with Finite Decimal Expansions
  321.    wt: 2:   E Long Division Methods more
  322.    wt: 2:   D Long Division Methods
  323.    wt: 2:   6 Column Methods for Decimal Multiplication
  324.    wt: 2:   3 Multiplicative Counting Skills Principles
  325.    wt: 2:   1 The Counting Origins of Numbers
  326.    wt: 2:   5 Proportionality in Equivalent Fractions
  327.    wt: 2:   1 What is Proportionality
  328.    wt: 2:   6 Equations and Systems Equivalent or Implied
  329.    wt: 2:   2 Addition and Multiplication Axioms
  330.    wt: 2:   5 Greater More Less Than Signs in General
  331.    wt: 2:   14 Real Number Multiplication
  332.    wt: 2:   13 Real Number Subtraction
  333.    wt: 2:   12 Real Number Additive Inverses or Negatives
  334.    wt: 2:   11 Real Number Addition
  335.    wt: 2:   8 Coordinates for Maps and Planes
  336.    wt: 2:   7 Real Numbers as Line Cordinates
  337.    wt: 2:   6 Unsigned Real Numbers
  338.    wt: 2:   5 Rational Numbers More
  339.    wt: 2:   4 Rational Numbers
  340.    wt: 2:   3 Fractions
  341.    wt: 2:   3 Geometric Formulas and Function Notation
  342.    wt: 2:   1 Formulas Dependence and Function Notation
  343.    wt: 2:   Skill Development Notes
  344.    wt: 2:   10 One Example
  345.    wt: 2:   9 Three Examples
  346.    wt: 2:   8 One Example
  347.    wt: 2:   7 Two Examples
  348.    wt: 2:   5 Three Examples
  349.    wt: 2:   4 Two Examples
  350.    wt: 2:   3 Two Examples
  351.    wt: 2:   2 Three Examples
  352.    wt: 2:   9 Sets in Probability and Statistics
  353.    wt: 2:   5 Talking about Numbers and Quantities
  354.    wt: 2:   4 A Brief Story of numbers and algebra
  355.    wt: 2:   016 Numbering Occidental Calendar Days
  356.    wt: 2:   015 School and work day counting tables
  357.    wt: 2:   012 Division of Time Intervals by Time Intervals
  358.    wt: 2:   6 How long is a million seconds
  359.    wt: 2:   4 Mixing and Changing Units of Time
  360.    wt: 2:   3 Units and Lengths of Time
  361.    wt: 2:   2 Time and Date Matters in School
  362.    wt: 2:   1 Intro of Kids To Time Date Skills
  363.    wt: 2:   Example 1. Area Between x and x squared
  364.    wt: 2:   38 Formulas and derivatives for powers and roots
  365.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  366.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  367.    wt: 2:   9 Limits Continuity and Composition
  368.    wt: 2:   5 Jumps and absence of unlimited error control
  369.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  370.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  371.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  372.    wt: 2:   Appendix E. How To Study Mathematics and Why
  373.    wt: 2:   Appendix D. What to do in School and Why
  374.    wt: 2:   Chapter 31 Direct and Indirect Reason
  375.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  376.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  377.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  378.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  379.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  380.    wt: 2:   Chapter 20. Degrees and Radians
  381.    wt: 2:   Chapter 19. Functions and Sets
  382.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  383.    wt: 2:   Chapter 12. Shorthand Usage Guide
  384.    wt: 2:   Chapter 11. Why Shorthand
  385.    wt: 2:   Chapter 10 Describing and Changing Calculations
  386.    wt: 2:   Postscript What is a Variable
  387.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  388.    wt: 2:   Chapter 8 Three Skills For Algebra
  389.    wt: 2:   Solutions For Arithmetic Exercises
  390.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  391.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  392.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  393.    wt: 2:   Chapter 17 Objective Ways Trial and Error Discovery
  394.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  395.    wt: 2:   R Why Learn Mathematics Skills
  396.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  397.    wt: 2:   O On Learning Mathematics and Science
  398.    wt: 2:   L Skills with take home value
  399.    wt: 2:   N Improving Marks on Tests and Finals
  400.    wt: 2:   J. More on written work and showing skill
  401.    wt: 2:   H Jigsaw puzzles and problem solving
  402.    wt: 2:   G. Written work formats for developing and showing skill
  403.    wt: 2:   E. When and how to correct errors
  404.    wt: 1:   Appendix 1 primary and preschool mathematic
  405.    wt: 1:   G LAMP Introduction Problem Solving Skills
  406.    wt: 1:   F LAMP Introduction Prerequisites
  407.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  408.    wt: 1:   Skills Chapter 5 Calculus
  409.    wt: 1:   Skills Chapter 4 Logic
  410.    wt: 1:   Skills Chapter 3 Algebra
  411.    wt: 1:   Skills Chapter 2 Geometry
  412.    wt: 1:   Skills Chapter 1 Arithmetic
  413.    wt: 1:   Skills Chapter 0 Introduction
  414.    wt: 1:   10 statistics
  415.    wt: 1:   7 logic review and decimals an odd combination
  416.    wt: 1:   5 logarithms and exponentials etc
  417.    wt: 1:   2 arithmetic with signed numbers
  418.    wt: 1:   1 arithmetic with unsigned numbers
  419.    wt: 1:   What is POMME
  420.    wt: 1:   permissions for teachers
  421.    wt: 1:   key notes and themes
  422.    wt: 1:   what should be learnt and When
  423.    wt: 1:   Education Reform Inconsistencies
  424.    wt: 1:   standards for course material
  425.    wt: 1:   Theory of Knowledge
  426.    wt: 1:   Education in mathematics science and technology
  427.    wt: 1:   Motivation and Context Problem
  428.    wt: 1:   fairness and inductive principles for instruction
  429.    wt: 1:   chapitre 07 01 principle D induction mathematique
  430.    wt: 1:   chapitre 05 00 Deception
  431.    wt: 1:   chapitre 04 09 Regles accidentelles
  432.    wt: 1:   chapitre 04 08 Limitations et benefices
  433.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  434.    wt: 1:   chapitre 04 06 engagements
  435.    wt: 1:   chapitre 04 05 Implication versus suggestion
  436.    wt: 1:   chapitre 04 04 Parlons de la logique
  437.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  438.    wt: 1:   chapitre 04 02 Deuxieme enigme
  439.    wt: 1:   chapitre 04 01 Premiere enigme
  440.    wt: 1:   chapitre 04 00 Les regles d implication
  441.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  442.    wt: 1:   chapitre 02 00 La Communication des idees
  443.    wt: 1:   chapitre 01 00 Introduction
  444.    wt: 1:   liens
  445.    wt: 1:   problemes responses
  446.    wt: 1:   problemes algebre et arithmetique
  447.    wt: 1:   deux definitions pour variable
  448.    wt: 1:   logique deux enigme
  449.    wt: 1:   2 Conductance Resistance Duality02
  450.    wt: 1:   1 Conductance Resistance Duality01
  451.    wt: 1:   F Wire Resistance Calculation04
  452.    wt: 1:   E Wire Resistance Calculation03
  453.    wt: 1:   D Wire Resistance Calculation02
  454.    wt: 1:   C Wire Resistance Calculation01
  455.    wt: 1:   B Wire Resistance Qualitative02
  456.    wt: 1:   A Wire Resistance Qualitative01
  457.    wt: 1:   3 Like resistors in parallel
  458.    wt: 1:   2 Unlike resistors in parallel01
  459.    wt: 1:   1 Like resistors in series
  460.    wt: 1:   F Unlike Resistors in Series
  461.    wt: 1:   Home Tutoring and Home Schooling
  462.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  463.    wt: 1:   24 Standards For Skill Develoment Take II
  464.    wt: 1:   24 Standards For Skill Develoment
  465.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  466.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  467.    wt: 1:   17 Math Booklets for children and young teenagers
  468.    wt: 1:   14 Multiplication and Times Tables
  469.    wt: 1:   13 Addition and Addition Tables
  470.    wt: 1:   12 Goals and Objectives For Mathematics
  471.    wt: 1:   11 Help and Defend Your Child or Teens Education
  472.    wt: 1:   5 Patience Please for Yourself and Your Charges
  473.    wt: 1:   4 Learning Takes Time and Effort
  474.    wt: 1:   1 Speaking Skills
  475.    wt: 1:   Ages 12 to 14 Geometry
  476.    wt: 1:   Ages 12 to 14 Arithmetic
  477.    wt: 1:   Ages 10 to 12 Geometry
  478.    wt: 1:   Ages 10 to 12 Arithmetic
  479.    wt: 1:   Ages 9 to 10
  480.    wt: 1:   Ages 8 to 9
  481.    wt: 1:   Ages 7 to 8
  482.    wt: 1:   Ages 6 to 7
  483.    wt: 1:   Ages 4 plus to 5 plus
  484.    wt: 1:   Ages 3 plus to 4 plus
  485.    wt: 1:   26 Function definitions done and coming
  486.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  487.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  488.    wt: 1:   19 Horizontal line rule and method
  489.    wt: 1:   18 Vertical Line Rule and Method
  490.    wt: 1:   17 Function maxima minima and their location
  491.    wt: 1:   15 Sign analysis of functions
  492.    wt: 1:   12 Function Domain Recognition Exercises
  493.    wt: 1:   11 Function Domain Range Source and Targets
  494.    wt: 1:   9 Set theory term relation possible origins
  495.    wt: 1:   8 Set view of relations and functions
  496.    wt: 1:   4 Function notation in and beyond mathematics
  497.    wt: 1:   3 Formula or function graphing exercise
  498.    wt: 1:   10 quadratic exercises
  499.    wt: 1:   9 quadratics physical and further context
  500.    wt: 1:   1 quadratics graphing exercises
  501.    wt: 1:   11 Growth and Decay in Biology
  502.    wt: 1:   10 Exponential Growth and Decay Models
  503.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  504.    wt: 1:   5 Natural Logarithm Calculator Exercises
  505.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  506.    wt: 1:   1 Calculator Starter Exercises
  507.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  508.    wt: 1:   1 Polynomials Distributive Law
  509.    wt: 1:   16 cotangent function Definition Graph and Inverse
  510.    wt: 1:   15 cosecant function Definition Graph and Inverse
  511.    wt: 1:   14 secant function Definition Graph and Inverse
  512.    wt: 1:   13 cosecant function Definition Graph and Inverse
  513.    wt: 1:   5 Swapping Coordinates is a reflection
  514.    wt: 1:   8 Radian Measures of Common Angles
  515.    wt: 1:   7 Radian Measures in special Triangles
  516.    wt: 1:   6 Radian Measure to Degrees
  517.    wt: 1:   5 Degrees to Radian Measure
  518.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  519.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  520.    wt: 1:   2 Radian Measure Numerical Value of one degree
  521.    wt: 1:   A Global Time and Navigation
  522.    wt: 1:   15 Dot and Cross Product
  523.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  524.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  525.    wt: 1:   4 graphing y=Asin(x c)
  526.    wt: 1:   3 graphing y=f(x c) plus K
  527.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  528.    wt: 1:   1 graphing y=f(x a)
  529.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  530.    wt: 1:   Triangle Angles Sum To 180 Degrees
  531.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  532.    wt: 1:   Straight Lines ASA Intersection Study More
  533.    wt: 1:   Straight Lines ASA Intersection Study
  534.    wt: 1:   Straight Lines Instersection Solving Equations
  535.    wt: 1:   Straight Lines Intersection of
  536.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  537.    wt: 1:   C Straight Lines Slope from Coordinates
  538.    wt: 1:   B Straight Line Slope Scaling Properties More
  539.    wt: 1:   A Straight Line Slope Scaling Properties
  540.    wt: 1:   14 Straight Lines Equations General Case
  541.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  542.    wt: 1:   12 Straight Lines Graphing mx plus b
  543.    wt: 1:   11 Straight Lines Graphing y=mx
  544.    wt: 1:   10 Straight Lines through Origin Equations More
  545.    wt: 1:   9 Straight Lines through Origin Equations
  546.    wt: 1:   8 Straight Lines Equation for vertical
  547.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  548.    wt: 1:   5 Tangent Function Graph
  549.    wt: 1:   4 Tangent Function Properties
  550.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  551.    wt: 1:   1 Straight Lines Slope Concept
  552.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  553.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  554.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  555.    wt: 1:   29 secant cosecant and cotangent for acute angles
  556.    wt: 1:   27 Logarithmic use of products of sines and cosines
  557.    wt: 1:   26 Formulas for products of sines and cosines
  558.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  559.    wt: 1:   21 sine and cosine Half Angle Formulas
  560.    wt: 1:   20 sine and cosine Double Angle Formulas
  561.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  562.    wt: 1:   17E Trig Formulas for dot and cross Products
  563.    wt: 1:   17C sine and cosine double triple angle formulas
  564.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  565.    wt: 1:   10 Graphs of sines and cosines many periods
  566.    wt: 1:   9 Graphs of sine and cosine over one period
  567.    wt: 1:   7 period of sine and cosine
  568.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  569.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  570.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  571.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  572.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  573.    wt: 1:   19 N th Roots of Unity
  574.    wt: 1:   18 Sixth Roots of Unity
  575.    wt: 1:   17 Cube Roots of unity
  576.    wt: 1:   15 Pythagorean Theorem Converse
  577.    wt: 1:   14 Law of cosines
  578.    wt: 1:   8 Unit Circle Development of Trigonometry
  579.    wt: 1:   7 Second Way to Calculate Products
  580.    wt: 1:   4 Multiplication Properties
  581.    wt: 1:   3 Addition Properties
  582.    wt: 1:   1 Rectangular Polar Coordinates Review
  583.    wt: 1:   8 Triangles Cascade Problem Solving
  584.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  585.    wt: 1:   1 Angle Measurement with Degrees
  586.    wt: 1:   Why Trigonometry the whyslopes view
  587.    wt: 1:   12 Triangles Similarity More Problems
  588.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  589.    wt: 1:   9 Similarity of Triangles Usual Criteria
  590.    wt: 1:   7 Translations Rotations Reflections Dilatations
  591.    wt: 1:   6 Geometric Diagrams in Class
  592.    wt: 1:   4 Similarity Definition with Coordinate
  593.    wt: 1:   3 Similarity by Design with coordinates
  594.    wt: 1:   2 Similarity By Design
  595.    wt: 1:   1 Early Concept of Like or Similar Shapes
  596.    wt: 1:   12 Links Lessons elsewhere
  597.    wt: 1:   11 A Partial Summary
  598.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  599.    wt: 1:   8 Mid Point Formula
  600.    wt: 1:   5 Algebraic View of Slopes
  601.    wt: 1:   4 Equations for lines three forms
  602.    wt: 1:   3 Slope product for perpendicular lines
  603.    wt: 1:   2 point slope equation for a line
  604.    wt: 1:   12 Spatial Coordinates
  605.    wt: 1:   11 Triangle Inequality
  606.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  607.    wt: 1:   3 Rectangular Coordinates Review
  608.    wt: 1:   2 Cartesian Coordinates with signs
  609.    wt: 1:   1 Cartesian Coordinates sans signs
  610.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  611.    wt: 1:   PS E Multiplication with Polar Coordinates
  612.    wt: 1:   PS D Addition with Cartesian Coordinates
  613.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  614.    wt: 1:   PS B Parallelogram Construction Methods
  615.    wt: 1:   PS A Kite Construction Methods
  616.    wt: 1:   21 Parallelograms
  617.    wt: 1:   19 Right Triangle Similarity
  618.    wt: 1:   18 Triangle Similarity Take 1
  619.    wt: 1:   14 Parallel Lines Postulate
  620.    wt: 1:   13 Angle Side Angle Failure
  621.    wt: 1:   12 Side Angle Side Failure
  622.    wt: 1:   11 Triangle Construction Fails
  623.    wt: 1:   10 Dropping a perpendicular to line
  624.    wt: 1:   7 Angle Side Angle
  625.    wt: 1:   5 Side Angle Side
  626.    wt: 1:   4 Side Side Side
  627.    wt: 1:   2 Correspondence between Triangles
  628.    wt: 1:   Short Course on Euclidean Geometry
  629.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  630.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  631.    wt: 1:   21 Addition of Multiples of a Single Vector
  632.    wt: 1:   19 Signed Multiples of Vectors
  633.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  634.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  635.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  636.    wt: 1:   15 Head to Tails in place Addition Associative
  637.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  638.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  639.    wt: 1:   4 Location of Point in Decimal Addition
  640.    wt: 1:   3 Location of Point in Decimal Multiplication
  641.    wt: 1:   2 Counting Digits in Decimal Multiplication
  642.    wt: 1:   C Three Decimal Subtraction Methods
  643.    wt: 1:   A Decimal Addition Columm Methods
  644.    wt: 1:   8 Column Multiplication Methods in General
  645.    wt: 1:   7 Decimals Multiplication Methods Examples
  646.    wt: 1:   4 Commutative Law Groups Counting Form
  647.    wt: 1:   5 Areas of Rectangles Revisited
  648.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  649.    wt: 1:   3 Proportionality Examples
  650.    wt: 1:   2 Algebraic View
  651.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  652.    wt: 1:   6 Compound Interest Forward and Backwards
  653.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  654.    wt: 1:   5 Equality in Algebra
  655.    wt: 1:   3 Product Axioms Two Forms
  656.    wt: 1:   1 Equivalent Computation Rules
  657.    wt: 1:   9 Coordinates for Regions in Space
  658.    wt: 1:   2 Integers
  659.    wt: 1:   5 Independent versus Dependent Variables
  660.    wt: 1:   4 Changing Letters
  661.    wt: 1:   2 Computation Rules Evaluation
  662.    wt: 1:   More Exercises
  663.    wt: 1:   Simple Exercises
  664.    wt: 1:   3 GE III Equation Addition and Multiplication
  665.    wt: 1:   2 GE II Comparison
  666.    wt: 1:   4 Solving a triangular system exercise
  667.    wt: 1:   2 Essentially one exercises three with solution
  668.    wt: 1:   6 Algebraic Solution Example
  669.    wt: 1:   1 Written work formats for developing and showing skill
  670.    wt: 1:   8 Sets of Numbers
  671.    wt: 1:   6 Three Notions of What is a Variable
  672.    wt: 1:   2 What is a Variable
  673.    wt: 1:   1 Three Skills For Algebra
  674.    wt: 1:   014 Counting Days with Calendars
  675.    wt: 1:   013 Travel Time Tables
  676.    wt: 1:   010 Repeated Addition of Time Intervals
  677.    wt: 1:   8 Addition of Time Intervals via subtotaling
  678.    wt: 1:   7 Addition of Time Intervals
  679.    wt: 1:   5 Conversion Arithmetic
  680.    wt: 1:   Example 2 volume of a cone
  681.    wt: 1:   Example 1 volume of a pyramid
  682.    wt: 1:   Volume of Solid by Cross Sections Lesson
  683.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  684.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  685.    wt: 1:   Example 4 with x function of y
  686.    wt: 1:   Example 3
  687.    wt: 1:   Example 2
  688.    wt: 1:   Example 1
  689.    wt: 1:   Area Between Curves Lesson Take 2
  690.    wt: 1:   Area Between Curves Lesson Take 1
  691.    wt: 1:   Summary
  692.    wt: 1:   5 Area Under Curve Exercise
  693.    wt: 1:   4 Definite Integrals Evaluation Exercises
  694.    wt: 1:   3 Two Chain Rule Method Exercises
  695.    wt: 1:   2 Indefinite Integrals Exercises
  696.    wt: 1:   4 Second derivative test exercise example
  697.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  698.    wt: 1:   26 Chain Rule Recognising outer inner functions
  699.    wt: 1:   17 Derivatives of quotients of sine and cosine
  700.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  701.    wt: 1:   15 sine and cosine derivatives 3rd step
  702.    wt: 1:   14 sine and cosine derivatives 2nd step
  703.    wt: 1:   13 sine and cosine derivatives 1st step
  704.    wt: 1:   11 Limits at infinity Three Examples
  705.    wt: 1:   10 Three one sided limits with infinite values
  706.    wt: 1:   8 Four Animated Examples
  707.    wt: 1:   7 Evaluation by immediate or delayed substitution
  708.    wt: 1:   6 Continuity at a point
  709.    wt: 1:   4 Numerical properties
  710.    wt: 1:   3 Decimal insights for limits continuity convergence
  711.    wt: 1:   2 Algebraic codification
  712.    wt: 1:   1 Numerical introduction
  713.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  714.    wt: 1:   PostScript For and Against Decimal Perspectives
  715.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  716.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  717.    wt: 1:   Chapter 22 Complex Numbers
  718.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  719.    wt: 1:   Chapter 12. Units and Slopes
  720.    wt: 1:   Chapter 10 Slopes and Units
  721.    wt: 1:   Chapter 7 Slopes and Velocity
  722.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  723.    wt: 1:   Chapter 4. More Slope Sign Analysis
  724.    wt: 1:   Chapter 3. Slope Sign Analysis
  725.    wt: 1:   Chapter 2. Slopes and Ski Trails
  726.    wt: 1:   Postscript More on Better Performance
  727.    wt: 1:   Postscript For Better Performance
  728.    wt: 1:   Appendix C. How to Read
  729.    wt: 1:   Appendix B. How To Learn
  730.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  731.    wt: 1:   Chapter 30 Truth Tables
  732.    wt: 1:   Chapter 28 Occurrence Tables
  733.    wt: 1:   Chapter 25. Mathematical Induction Examples
  734.    wt: 1:   Chapter 23. Notation For Sums
  735.    wt: 1:   Chapter 21. Third Reading Guide
  736.    wt: 1:   Chapter 18. Rules for Algebra
  737.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  738.    wt: 1:   Chapter 16. Painless Theorem Proving
  739.    wt: 1:   Chapter 15. Solving Linear Equations
  740.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  741.    wt: 1:   Chapter 13. Second Reading Guide
  742.    wt: 1:   Chapter 6 Change of Language
  743.    wt: 1:   Chapter 4 Longer Chains of Reason
  744.    wt: 1:   Chapter 3 Chains of Reason
  745.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  746.    wt: 1:   Foreword
  747.    wt: 1:   Chapter 2 For and Against Mathematics
  748.    wt: 1:   Postscript C Consistency as a Tool for Reason
  749.    wt: 1:   Postscript B More on Story Telling and Reason
  750.    wt: 1:   Chapter 24 Direct and Indirect Reason
  751.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  752.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  753.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  754.    wt: 1:   Chapter 18 Sense and Knowledge
  755.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  756.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  757.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  758.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  759.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  760.    wt: 1:   S Adding words to algebra
  761.    wt: 1:   N Mathematics Prepare for College Studies
  762.    wt: 1:   M Words to extend arithmetic
  763.    wt: 1:   H more Routine to non routine problem solving
  764.    wt: 1:   F. The student teacher tutor feedback loop
  765.    wt: 1:   D. Check work a must with a caution
  766.    wt: 1:   C. Domino effect of being careful
  767.    wt: 1:   B. Domino effect of errors
  768.    wt: 1:   A. Skill has to be seen to believed
  769.    wt: 1:   Chapter 8 Skipped Topics and Why
  770.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  771.    wt: 1:   Chapter 6 More Algebra and Geometry
  772.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  773.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  774.    wt: 1:   Helping the Blind in Logic and Mathematics
  775.    wt: 1:   More Algebra and Slope based Calculus Preview
  776.    wt: 1:   Systematic Algebra Skill Development Missing Links
  777.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  778.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  779.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  780.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  781.    wt: 1:   The Math Forum and Site Content
  782.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  783.    wt: 12:   B Fractions and Two Term Ratios
  784.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  785.    wt: 12:   9 Improper Fractions and Mixed Numbers
  786.    wt: 11:   21 Reciprocals for Fractions and Wholes
  787.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  788.    wt: 10:   3 Comparison of Negative Numbers
  789.    wt: 10:   1 More and Less Than for Counts and Measures
  790.    wt: 10:   5 Reciprocals and Division for Fractions with Units
  791.    wt: 10:   D Three Term Ratios
  792.    wt: 10:   22 Complex Compound Fractions
  793.    wt: 10:   20 Dividing Fractions the Why
  794.    wt: 10:   19 Dividing Fractions How TO
  795.    wt: 10:   17 Efficient Ways to Add and Subtract
  796.    wt: 10:   16 Addition Subtraction Comparision Compared
  797.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  798.    wt: 10:   14 Adding and Subtracting with Like Denominators
  799.    wt: 10:   13 Fraction Comparison Algebraic View
  800.    wt: 10:   12 Fraction Comparison
  801.    wt: 10:   6 Multiplication of Mixed Numbers
  802.    wt: 10:   5 Equivalent Fractions
  803.    wt: 10:   1 What is a fraction Take II
  804.    wt: 10:   1 What is a fraction
  805.    wt: 10:   Fraction Operations by Raising Terms A Simple Innovation

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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