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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47 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: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  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:   A Origins of Counting and Figuring Methods/
  19.    wt: 2:   10 Examples of Algebraic Reasoning/
  20.    wt: 2:   9 Proportionality Backwards and Forwards/
  21.    wt: 2:   Step 1 Stick diagram and fractions/
  22.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  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:   4 Lines and Slopes Take 1/
  33.    wt: 1:   3 Cartesian and Polar Coordinates/
  34.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  35.    wt: 1:   B Real Numbers Extrinsic Development/
  36.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  37.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  38.    wt: 1:   5 Real Numbers/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   Time Date Matters/
  41.    wt: 1:   Skills with take home value/
  42.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  43.    wt: 1:   13 Lessons on Limits and Continuity/
  44.    wt: 1:   Volume 2 Three Skills For Algebra/
  45.    wt: 1:   Volume 1 Elements of Reason/
  46.    wt: 1:   Work and Study Tips/
  47.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

502 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 3:   27 Logarithmic use of products of sines and cosines
  3.    wt: 3:   8 Division and Mulplication of Compound Fractions
  4.    wt: 3:   4 A Brief Story of numbers and algebra
  5.    wt: 3:   5 lengths and signs of numbers
  6.    wt: 3:   B Fractions and Two Term Ratios
  7.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  8.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  9.    wt: 3:   9 Improper Fractions and Mixed Numbers
  10.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  11.    wt: 3:   Quick history of numbers and algebra
  12.    wt: 3:   17 Derivatives of quotients of sine and cosine
  13.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  14.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  15.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  16.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  17.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  18.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  19.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  20.    wt: 2:   Ramblings Extrinsic numbers theory
  21.    wt: 2:   Theory of Knowledge
  22.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  23.    wt: 2:   2 Reading and Writing Skills
  24.    wt: 2:   8 Set view of relations and functions
  25.    wt: 2:   4 Resultant of a Sum of Movements
  26.    wt: 2:   Vector and Complex Number Applet
  27.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  28.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  29.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  30.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  31.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  32.    wt: 2:   26 Formulas for products of sines and cosines
  33.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  34.    wt: 2:   14 cosine even and sine and tangent are odd
  35.    wt: 2:   10 Graphs of sines and cosines many periods
  36.    wt: 2:   9 Graphs of sine and cosine over one period
  37.    wt: 2:   7 period of sine and cosine
  38.    wt: 2:   20 N th Roots of Complex Numbers
  39.    wt: 2:   6 Field Properties of Complex Number
  40.    wt: 2:   5 An Easy Proof of the Distributive Law
  41.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  42.    wt: 2:   3 Trigonometric Ratios sine and cosine
  43.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  44.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  45.    wt: 2:   8 Similarity of Triangles and Polygons
  46.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  47.    wt: 2:   10 Midpoint of [a b] and [b a]
  48.    wt: 2:   1 Numerical view of lines and their equations
  49.    wt: 2:   3 Lengths and Areas on Maps and Plans
  50.    wt: 2:   22 Multiplication of Signed Numbers
  51.    wt: 2:   21 Addition of Multiples of a Single Vector
  52.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  53.    wt: 2:   11 Signed Number Addition and Addition Properties
  54.    wt: 2:   2 Combing Counts Addition Skills and Principles
  55.    wt: 2:   1 The Counting Origins of Numbers
  56.    wt: 2:   5 Proportionality in Equivalent Fractions
  57.    wt: 2:   4 Rates Ratios and Proporitionality
  58.    wt: 2:   3 Proportionality Examples
  59.    wt: 2:   4 Comparison of Negative Numbers
  60.    wt: 2:   2 More and Less Than for Counts and Measures
  61.    wt: 2:   10 Real Number Lengths and Signs
  62.    wt: 2:   1 Whole and Natural Numbers
  63.    wt: 2:   8 Sets of Numbers
  64.    wt: 2:   5 Talking about Numbers and Quantities
  65.    wt: 2:   3 Comparison of Negative Numbers
  66.    wt: 2:   1 More and Less Than for Counts and Measures
  67.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  68.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  69.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  70.    wt: 2:   4 LCM of 8 and 10 via Prime
  71.    wt: 2:   11 What are real lengths and numbers
  72.    wt: 2:   2 signed and unsigned numbers as coordinates
  73.    wt: 2:   6 Simplification of Fractions with Units
  74.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  75.    wt: 2:   3 Multiplying Units and Numbers
  76.    wt: 2:   21 Reciprocals for Fractions and Wholes
  77.    wt: 2:   6 Multiplication of Mixed Numbers
  78.    wt: 2:   11 Adding Integers Formulas and Examples
  79.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  80.    wt: 2:   8 What skills and work habits to require
  81.    wt: 2:   6. Counting and adding units and mixed units
  82.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  83.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  84.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  85.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  86.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  87.    wt: 2:   Exact Arithmetic Wholes and Fractions
  88.    wt: 2:   011 Division of Time Intervals By Numbers
  89.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  90.    wt: 2:   4 Mixing and Changing Units of Time
  91.    wt: 2:   3 Units and Lengths of Time
  92.    wt: 2:   1 Intro of Kids To Time Date Skills
  93.    wt: 2:   38 Formulas and derivatives for powers and roots
  94.    wt: 2:   5 Jumps and absence of unlimited error control
  95.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  96.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  97.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  98.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  99.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  100.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  101.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  102.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  103.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  104.    wt: 2:   I. Logic and language skills
  105.    wt: 2:   How to Build Skills and Confidence
  106.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  107.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  108.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  109.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  110.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  111.    wt: 1:   Appendix 1 primary and preschool mathematic
  112.    wt: 1:   G LAMP Introduction Problem Solving Skills
  113.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  114.    wt: 1:   Skills Chapter 5 Calculus
  115.    wt: 1:   Skills Chapter 4 Logic
  116.    wt: 1:   Skills Chapter 3 Algebra
  117.    wt: 1:   Skills Chapter 2 Geometry
  118.    wt: 1:   Skills Chapter 1 Arithmetic
  119.    wt: 1:   Skills Chapter 0 Introduction
  120.    wt: 1:   7 logic review and decimals an odd combination
  121.    wt: 1:   5 logarithms and exponentials etc
  122.    wt: 1:   2 arithmetic with signed numbers
  123.    wt: 1:   1 arithmetic with unsigned numbers
  124.    wt: 1:   key notes and themes
  125.    wt: 1:   Mathematics Education Professors
  126.    wt: 1:   what should be learnt and When
  127.    wt: 1:   standards for course material
  128.    wt: 1:   Education in mathematics science and technology
  129.    wt: 1:   Different Kinds of Reasoning in maths
  130.    wt: 1:   three kinds of reason in mathematics
  131.    wt: 1:   Motivation and Context Problem
  132.    wt: 1:   fairness and inductive principles for instruction
  133.    wt: 1:   E Kirchoffs Second Law
  134.    wt: 1:   D Kirchoff First Law
  135.    wt: 1:   Home Tutoring and Home Schooling
  136.    wt: 1:   24 Standards For Skill Develoment Take II
  137.    wt: 1:   24 Standards For Skill Develoment
  138.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  139.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  140.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  141.    wt: 1:   17 Math Booklets for children and young teenagers
  142.    wt: 1:   14 Multiplication and Times Tables
  143.    wt: 1:   13 Addition and Addition Tables
  144.    wt: 1:   12 Goals and Objectives For Mathematics
  145.    wt: 1:   11 Help and Defend Your Child or Teens Education
  146.    wt: 1:   8 The Effect of Negative Remarks
  147.    wt: 1:   5 Patience Please for Yourself and Your Charges
  148.    wt: 1:   4 Learning Takes Time and Effort
  149.    wt: 1:   1 Speaking Skills
  150.    wt: 1:   Ages 12 to 14 Skills with take home value
  151.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  152.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  153.    wt: 1:   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:   21 Graphs of functions given by Horizontal Line Method
  157.    wt: 1:   19 Horizontal line rule and method
  158.    wt: 1:   18 Vertical Line Rule and Method
  159.    wt: 1:   17 Function maxima minima and their location
  160.    wt: 1:   15 Sign analysis of functions
  161.    wt: 1:   11 Function Domain Range Source and Targets
  162.    wt: 1:   9 Set theory term relation possible origins
  163.    wt: 1:   6 Set Existence Formation and Notation
  164.    wt: 1:   4 Function notation in and beyond mathematics
  165.    wt: 1:   2 Algebraic use of function notation
  166.    wt: 1:   1 Geometric Introduction of Function Notation
  167.    wt: 1:   9 quadratics physical and further context
  168.    wt: 1:   8 quadratics backward use of various formulas
  169.    wt: 1:   4 quadratics difference of two squares
  170.    wt: 1:   11 Growth and Decay in Biology
  171.    wt: 1:   10 Exponential Growth and Decay Models
  172.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  173.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  174.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  175.    wt: 1:   16 cotangent function Definition Graph and Inverse
  176.    wt: 1:   15 cosecant function Definition Graph and Inverse
  177.    wt: 1:   14 secant function Definition Graph and Inverse
  178.    wt: 1:   13 cosecant function Definition Graph and Inverse
  179.    wt: 1:   11 arctan left inverse of tangent Graph
  180.    wt: 1:   10 arctan left inverse of tangent Definition
  181.    wt: 1:   8 arcsin left inverse of sine Graph
  182.    wt: 1:   7 arcsin left inverse of sine Definition
  183.    wt: 1:   6 Graph of arccos function
  184.    wt: 1:   3 Left Inverse of cosine arccos definition
  185.    wt: 1:   9 Summary Degrees to Radians and back
  186.    wt: 1:   8 Radian Measures of Common Angles
  187.    wt: 1:   2 Radian Measure Numerical Value of one degree
  188.    wt: 1:   1 Degrees and Radians Introduction
  189.    wt: 1:   A Global Time and Navigation
  190.    wt: 1:   15 Dot and Cross Product
  191.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  192.    wt: 1:   Parallel Lines and Parallel Transversals
  193.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  194.    wt: 1:   Parallel Lines and Interior Angles
  195.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  196.    wt: 1:   Straight Lines Intersection of
  197.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  198.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  199.    wt: 1:   32 seven rows of pascals triangle
  200.    wt: 1:   30 unit circle calculation of six trigonometric functions
  201.    wt: 1:   29 secant cosecant and cotangent for acute angles
  202.    wt: 1:   28 Expressing products of sines cosines as sums
  203.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  204.    wt: 1:   21 sine and cosine Half Angle Formulas
  205.    wt: 1:   20 sine and cosine Double Angle Formulas
  206.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  207.    wt: 1:   18 sum of sinusoidal waves as a single wave
  208.    wt: 1:   17F Law of cosines
  209.    wt: 1:   17E Trig Formulas for dot and cross Products
  210.    wt: 1:   17D cis formulas for sine cosines and tangent
  211.    wt: 1:   17C sine and cosine double triple angle formulas
  212.    wt: 1:   17A The complex number valued trig function cis
  213.    wt: 1:   13 Graph of tangent function many periods
  214.    wt: 1:   12 Graph of tangent function for one period
  215.    wt: 1:   8 period of tangent function
  216.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  217.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  218.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  219.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  220.    wt: 1:   Unit Circle Development of Trigonometry
  221.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  222.    wt: 1:   21 Logarithms Powers and Exponentials
  223.    wt: 1:   19 N th Roots of Unity
  224.    wt: 1:   18 Sixth Roots of Unity
  225.    wt: 1:   17 Cube Roots of unity
  226.    wt: 1:   16 References and Originality Question
  227.    wt: 1:   14 Law of cosines
  228.    wt: 1:   13 Trig Formulas for dot and cross Products
  229.    wt: 1:   12 cis formulas for sine cosines and tangent
  230.    wt: 1:   11 sine and cosine double triple angle formulas
  231.    wt: 1:   9 The complex number valued trig function cis
  232.    wt: 1:   8 Unit Circle Development of Trigonometry
  233.    wt: 1:   2 Complex Numbers made easier we hope
  234.    wt: 1:   Appetizer A Complex Number Applet
  235.    wt: 1:   7 Trignometric Ratios Unit Circle
  236.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  237.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  238.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  239.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  240.    wt: 1:   9 Similarity of Triangles Usual Criteria
  241.    wt: 1:   1 Early Concept of Like or Similar Shapes
  242.    wt: 1:   7 Exercises to test skill and concept mastery
  243.    wt: 1:   6 Intersection of lines by solving linear systems
  244.    wt: 1:   5 Algebraic View of Slopes
  245.    wt: 1:   What is and is not here
  246.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  247.    wt: 1:   7 Complex Numbers Appetizer
  248.    wt: 1:   6 Polar Multiplication and Rotation
  249.    wt: 1:   5 Cartesian Addition and Translation
  250.    wt: 1:   4 Polar Coordinates to and from
  251.    wt: 1:   PS H Distributive Law For Complex Numbers
  252.    wt: 1:   17 Right Bisectors of Triangle Sides
  253.    wt: 1:   16 Angles Subtended By Chords and Diameters
  254.    wt: 1:   9 Construction of a right bisector
  255.    wt: 1:   6 Ruler and compass Angle Bisection
  256.    wt: 1:   3 Isometry of Triangles Congruence
  257.    wt: 1:   1 Initial Concepts and Terms
  258.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  259.    wt: 1:   musings do not puiblish real numbers
  260.    wt: 1:   A Modular and Remainder Arithmetic
  261.    wt: 1:   A Signed Number Arithmetic Review
  262.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  263.    wt: 1:   19 Signed Multiples of Vectors
  264.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  265.    wt: 1:   13 Arrows and Vectors in a Plane
  266.    wt: 1:   12 Real Numbers Line Signed Coordinates
  267.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  268.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  269.    wt: 1:   4 Location of Point in Decimal Addition
  270.    wt: 1:   3 Location of Point in Decimal Multiplication
  271.    wt: 1:   1 Fractions with Finite Decimal Expansions
  272.    wt: 1:   B Decimal Comparison and Subtraction
  273.    wt: 1:   7 Decimals Multiplication Methods Examples
  274.    wt: 1:   5 Distributive Law for Whole Numbers
  275.    wt: 1:   3 Multiplicative Counting Skills Principles
  276.    wt: 1:   5 Areas of Rectangles Revisited
  277.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  278.    wt: 1:   1 What is Proportionality
  279.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  280.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  281.    wt: 1:   6 Compound Interest Forward and Backwards
  282.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  283.    wt: 1:   6 Equations and Systems Equivalent or Implied
  284.    wt: 1:   4 Subtraction and Division Axioms
  285.    wt: 1:   2 Addition and Multiplication Axioms
  286.    wt: 1:   3 More and Less Than with Unlike Signs
  287.    wt: 1:   1 Real Numbers Comparison
  288.    wt: 1:   16 Real Numbers Comparison
  289.    wt: 1:   15 Real Number Division
  290.    wt: 1:   14 Real Number Multiplication
  291.    wt: 1:   13 Real Number Subtraction
  292.    wt: 1:   12 Real Number Additive Inverses or Negatives
  293.    wt: 1:   11 Real Number Addition
  294.    wt: 1:   8 Coordinates for Maps and Planes
  295.    wt: 1:   7 Real Numbers as Line Cordinates
  296.    wt: 1:   6 Unsigned Real Numbers
  297.    wt: 1:   5 Rational Numbers More
  298.    wt: 1:   4 Rational Numbers
  299.    wt: 1:   3 Fractions
  300.    wt: 1:   3 Geometric Formulas and Function Notation
  301.    wt: 1:   1 Formulas Dependence and Function Notation
  302.    wt: 1:   4 GE III Animated Examples
  303.    wt: 1:   3 GE III Equation Addition and Multiplication
  304.    wt: 1:   1 GE Substitution four examples
  305.    wt: 1:   4 Four Examples Fractional Coefficients
  306.    wt: 1:   3 Four Examples
  307.    wt: 1:   2 Three Examples
  308.    wt: 1:   9 Three Examples
  309.    wt: 1:   7 Two Examples
  310.    wt: 1:   6 Three Examples
  311.    wt: 1:   5 Three Examples
  312.    wt: 1:   4 Two Examples
  313.    wt: 1:   3 Two Examples
  314.    wt: 1:   2 Three Examples
  315.    wt: 1:   11 Volume of Sphere
  316.    wt: 1:   10 Volume of Pyramid
  317.    wt: 1:   9 Volume of Cone
  318.    wt: 1:   1 Written work formats for developing and showing skill
  319.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  320.    wt: 1:   9 Sets in Probability and Statistics
  321.    wt: 1:   6 Three Notions of What is a Variable
  322.    wt: 1:   1 Three Skills For Algebra
  323.    wt: 1:   2 More and Less Than with Unlike Signs
  324.    wt: 1:   3 Properties of Square Roots with example
  325.    wt: 1:   1 Squares and Square Roots Introduction
  326.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  327.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  328.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  329.    wt: 1:   7 GCD and LCM from prime factorization
  330.    wt: 1:   3 Counting with Tables and Trees II
  331.    wt: 1:   2 Counting with Tables and Trees I
  332.    wt: 1:   1 Counting and Counting Methods I
  333.    wt: 1:   10 dividing signed numbers
  334.    wt: 1:   9 subtracting signed numbers
  335.    wt: 1:   8 multiplying signed numbers
  336.    wt: 1:   7 negative and additive inverse
  337.    wt: 1:   6 adding signed numbers
  338.    wt: 1:   3 signed coordinates for maps and planes
  339.    wt: 1:   4 Fractions with Units
  340.    wt: 1:   2 Equality and Units
  341.    wt: 1:   1 Addition and Subtraction with Units
  342.    wt: 1:   D Three Term Ratios
  343.    wt: 1:   22 Complex Compound Fractions
  344.    wt: 1:   20 Dividing Fractions the Why
  345.    wt: 1:   19 Dividing Fractions How TO
  346.    wt: 1:   17 Efficient Ways to Add and Subtract
  347.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  348.    wt: 1:   14 Adding and Subtracting with Like Denominators
  349.    wt: 1:   5 Equivalent Fractions
  350.    wt: 1:   3 Unit fraction of a fraction
  351.    wt: 1:   12 Adding Integers More Examples
  352.    wt: 1:   8 Multiplication by Signed Numbers Integers
  353.    wt: 1:   6 Multiplication by Natural Numbers
  354.    wt: 1:   5 Zero Movement and Additive Inverses
  355.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  356.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  357.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  358.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  359.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  360.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  361.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  362.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  363.    wt: 1:   20 Uniqueness of Prime Factorization
  364.    wt: 1:   17 Identify and Count Factors using Primes
  365.    wt: 1:   16 video Factors of 980 using prime
  366.    wt: 1:   15 video Factors of 20 using Prime Factorization
  367.    wt: 1:   14 video Factors of 24 Take II
  368.    wt: 1:   13 video Factors of 24 using prime
  369.    wt: 1:   12 LCD GCD and LCM using Primes
  370.    wt: 1:   7 Calculator Usage Notes and Cautions
  371.    wt: 1:   5 Prime Factorization and a Square Rule
  372.    wt: 1:   3 video Primes and Composites from 9 times table
  373.    wt: 1:   2 Prime and Composites less than 16
  374.    wt: 1:   Division with Counts and Length
  375.    wt: 1:   Long Division forwards and backwards Example 3
  376.    wt: 1:   Long Division forwards and backwards Example 2
  377.    wt: 1:   Long Division forwards and backwards Example 1
  378.    wt: 1:   10 Division by Five Long and Short Ways
  379.    wt: 1:   1 Divsion Physical Examples
  380.    wt: 1:   C Counting Areas with Powers of Ten
  381.    wt: 1:   B Powers of Ten
  382.    wt: 1:   4 Two and Three Digit Multipliers
  383.    wt: 1:   8 Subtraction with Units of Measure
  384.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  385.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  386.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  387.    wt: 1:   2 Subtraction Easy Case Examples
  388.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  389.    wt: 1:   7 Adding decimal fractions using decimal point
  390.    wt: 1:   5. How to add decimals C. Examples
  391.    wt: 1:   11 Place Value SI Standard International way
  392.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  393.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  394.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  395.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  396.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  397.    wt: 1:   016 Numbering Occidental Calendar Days
  398.    wt: 1:   015 School and work day counting tables
  399.    wt: 1:   012 Division of Time Intervals by Time Intervals
  400.    wt: 1:   010 Repeated Addition of Time Intervals
  401.    wt: 1:   8 Addition of Time Intervals via subtotaling
  402.    wt: 1:   7 Addition of Time Intervals
  403.    wt: 1:   2 Time and Date Matters in School
  404.    wt: 1:   Example 2 volume of a cone
  405.    wt: 1:   Example 1 volume of a pyramid
  406.    wt: 1:   Volume of Solid by Cross Sections Lesson
  407.    wt: 1:   Example 1. Area Between x and x squared
  408.    wt: 1:   Example 4 with x function of y
  409.    wt: 1:   A Chain Rule Real Player video examples
  410.    wt: 1:   34 Derivative of exponential function
  411.    wt: 1:   33 Chain Rule Real Player video examples
  412.    wt: 1:   31 Derivatives of inverse functions
  413.    wt: 1:   30Chain Rule A Proof
  414.    wt: 1:   28 Chain Rule Preparation for a Proof
  415.    wt: 1:   25 Chain Rule Animated Examples Continued
  416.    wt: 1:   24 Chain Rule Animated Examples
  417.    wt: 1:   15 sine and cosine derivatives 3rd step
  418.    wt: 1:   14 sine and cosine derivatives 2nd step
  419.    wt: 1:   13 sine and cosine derivatives 1st step
  420.    wt: 1:   12 Quotient rule examples
  421.    wt: 1:   8 Differentiation of polynomials
  422.    wt: 1:   7 Animated Differentiation Examples
  423.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  424.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  425.    wt: 1:   11 Limits at infinity Three Examples
  426.    wt: 1:   9 Limits Continuity and Composition
  427.    wt: 1:   8 Four Animated Examples
  428.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  429.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  430.    wt: 1:   G.3 Constant Difference Theorem Proof
  431.    wt: 1:   E2 Algebraic Properties of Limits
  432.    wt: 1:   D2 Limits of Monotone Sequences
  433.    wt: 1:   PostScript For and Against Decimal Perspectives
  434.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  435.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  436.    wt: 1:   Chapter 22 Complex Numbers
  437.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  438.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  439.    wt: 1:   Chapter 12. Units and Slopes
  440.    wt: 1:   Chapter 10 Slopes and Units
  441.    wt: 1:   Chapter 7 Slopes and Velocity
  442.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  443.    wt: 1:   Chapter 2. Slopes and Ski Trails
  444.    wt: 1:   Appendix E. How To Study Mathematics and Why
  445.    wt: 1:   Appendix D. What to do in School and Why
  446.    wt: 1:   Chapter 31 Direct and Indirect Reason
  447.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  448.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  449.    wt: 1:   Chapter 25. Mathematical Induction Examples
  450.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  451.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  452.    wt: 1:   Chapter 20. Degrees and Radians
  453.    wt: 1:   Chapter 19. Functions and Sets
  454.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  455.    wt: 1:   Chapter 12. Shorthand Usage Guide
  456.    wt: 1:   Chapter 11. Why Shorthand
  457.    wt: 1:   Chapter 10 Describing and Changing Calculations
  458.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  459.    wt: 1:   Chapter 8 Three Skills For Algebra
  460.    wt: 1:   Chapter 6 Change of Language
  461.    wt: 1:   Chapter 4 Longer Chains of Reason
  462.    wt: 1:   Chapter 3 Chains of Reason
  463.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  464.    wt: 1:   Chapter 7 Two Treatments of Geometry
  465.    wt: 1:   Chapter 2 For and Against Mathematics
  466.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  467.    wt: 1:   Postscript B More on Story Telling and Reason
  468.    wt: 1:   Chapter 24 Direct and Indirect Reason
  469.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  470.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  471.    wt: 1:   Chapter 18 Sense and Knowledge
  472.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  473.    wt: 1:   Chapter 8 Change of Language
  474.    wt: 1:   Chapter 7 Longer Chains of Reason
  475.    wt: 1:   Chapter 6 Chains of Reason
  476.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  477.    wt: 1:   R Why Learn Mathematics Skills
  478.    wt: 1:   O On Learning Mathematics and Science
  479.    wt: 1:   L Skills with take home value
  480.    wt: 1:   N Improving Marks on Tests and Finals
  481.    wt: 1:   J. More on written work and showing skill
  482.    wt: 1:   H Jigsaw puzzles and problem solving
  483.    wt: 1:   G. Written work formats for developing and showing skill
  484.    wt: 1:   E. When and how to correct errors
  485.    wt: 1:   C. Domino effect of being careful
  486.    wt: 1:   B. Domino effect of errors
  487.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  488.    wt: 1:   Chapter 8 Skipped Topics and Why
  489.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  490.    wt: 1:   Chapter 6 More Algebra and Geometry
  491.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  492.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  493.    wt: 1:   7 Games and Activities for Instruction
  494.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  495.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  496.    wt: 1:   Helping the Blind in Logic and Mathematics
  497.    wt: 1:   More Algebra and Slope based Calculus Preview
  498.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  499.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  500.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  501.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  502.    wt: 1:   The Math Forum and Site Content

Extended Search

788 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   5 lengths and signs of numbers
  3.    wt: 9:   6 Simplification of Fractions with Units
  4.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  5.    wt: 9:   3 Multiplying Units and Numbers
  6.    wt: 9:   21 Working With Signs
  7.    wt: 9:   18 Efficient Ways to Multiply
  8.    wt: 9:   16 Addition Subtraction Comparision Compared
  9.    wt: 9:   13 Fraction Comparison Algebraic View
  10.    wt: 9:   12 Fraction Comparison
  11.    wt: 9:   11 Simplification an Algebraic View
  12.    wt: 9:   8 Numerals Fractionals Quantals Take II
  13.    wt: 9:   7 Numerals Fractionals Quantals
  14.    wt: 9:   6 Multiplication Algebraically Take II
  15.    wt: 9:   4 Fraction Multiplication
  16.    wt: 9:   2 Unit Fraction Multiplication
  17.    wt: 9:   1 What is a fraction Take II
  18.    wt: 9:   1 What is a fraction
  19.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  20.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
  21.    wt: 8:   4 Greater More Less Than Signs in General
  22.    wt: 8:   3 Properties of Square Roots with example
  23.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
  24.    wt: 8:   16 GCD and LCM of 650 225 via Prime
  25.    wt: 8:   9 GCD of 360 110 via Primes and Euclid Algorithm
  26.    wt: 8:   4 LCM of 8 and 10 via Prime
  27.    wt: 8:   11 What are real lengths and numbers
  28.    wt: 8:   2 signed and unsigned numbers as coordinates
  29.    wt: 8:   4 Fractions with Units
  30.    wt: 8:   2 Equality and Units
  31.    wt: 8:   1 Addition and Subtraction with Units
  32.    wt: 8:   8 What skills and work habits to require
  33.    wt: 8:   6. Counting and adding units and mixed units
  34.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
  35.    wt: 8:   Quick history of numbers and algebra
  36.    wt: 7:   1 Squares and Square Roots Introduction
  37.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  38.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
  39.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  40.    wt: 7:   7 GCD and LCM from prime factorization
  41.    wt: 7:   3 Counting with Tables and Trees II
  42.    wt: 7:   2 Counting with Tables and Trees I
  43.    wt: 7:   1 Counting and Counting Methods I
  44.    wt: 7:   10 dividing signed numbers
  45.    wt: 7:   9 subtracting signed numbers
  46.    wt: 7:   8 multiplying signed numbers
  47.    wt: 7:   7 negative and additive inverse
  48.    wt: 7:   6 adding signed numbers
  49.    wt: 7:   3 signed coordinates for maps and planes
  50.    wt: 7:   7 Converting or Changing Units
  51.    wt: 7:   11 Adding Integers Formulas and Examples
  52.    wt: 7:   6 Multiplication by Natural Numbers
  53.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  54.    wt: 7:   27 Divisibility by 2 3 6 5 9 10 Example
  55.    wt: 7:   26 Divisibility by 2 3 5 Example
  56.    wt: 7:   25 Divisibility Tests for 2 3 5 9 10 Example
  57.    wt: 7:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  58.    wt: 7:   19 Remainder Arithmetic Rule of 9 for checking sums III
  59.    wt: 7:   18 Remainder Arithmetic Rule of 9 for checking sums II
  60.    wt: 7:   17 Remainder Arithmetic Rule of 9 for checking sums I
  61.    wt: 7:   8 Remainder Arithmetic Morulo 5 Examples II
  62.    wt: 7:   7 Remainder Arithmetic Modulo 5 Examples I
  63.    wt: 7:   20 Uniqueness of Prime Factorization
  64.    wt: 7:   17 Identify and Count Factors using Primes
  65.    wt: 7:   16 video Factors of 980 using prime
  66.    wt: 7:   15 video Factors of 20 using Prime Factorization
  67.    wt: 7:   14 video Factors of 24 Take II
  68.    wt: 7:   13 video Factors of 24 using prime
  69.    wt: 7:   12 LCD GCD and LCM using Primes
  70.    wt: 7:   7 Calculator Usage Notes and Cautions
  71.    wt: 7:   5 Prime Factorization and a Square Rule
  72.    wt: 7:   3 video Primes and Composites from 9 times table
  73.    wt: 7:   2 Prime and Composites less than 16
  74.    wt: 7:   Subtraction with J Conversions Example
  75.    wt: 7:   8 Subtraction with Units of Measure
  76.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  77.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  78.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  79.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  80.    wt: 7:   2 Subtraction Easy Case Examples
  81.    wt: 7:   1 Comparison and Subtraction Easy Direct Cases
  82.    wt: 7:   7 Adding decimal fractions using decimal point
  83.    wt: 7:   5. How to add decimals C. Examples
  84.    wt: 7:   9 Place Value Review Decimal form of Avogrados number included
  85.    wt: 7:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  86.    wt: 7:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  87.    wt: 7:   5 More on Groups of 3 Place Value in Decimal Fractions
  88.    wt: 7:   4 Groups of 3 Place Value in Decimal Fractions
  89.    wt: 7:   Exact Arithmetic Wholes and Fractions
  90.    wt: 6:   5 Square Roots with primes more still
  91.    wt: 6:   4 Square Roots with primes more
  92.    wt: 6:   2 Square Roots with Prime
  93.    wt: 6:   13 GCD from given Prime Factorization
  94.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  95.    wt: 6:   8 GCD from Euclidean Algorithm
  96.    wt: 6:   6 GCD from Prime
  97.    wt: 6:   5 Common Divisors 60 45 via Prime
  98.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  99.    wt: 6:   2 Least Common Multiple LCM intro via list method
  100.    wt: 6:   1 Least Common Multiples LCM Introduction
  101.    wt: 6:   12 GCD 2700 288 via Prime
  102.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  103.    wt: 6:   4 Counting with Trees Product Rule Take I
  104.    wt: 6:   4 signed coordinates for regions in space
  105.    wt: 6:   12 Adding Integers More Examples
  106.    wt: 6:   8 Multiplication by Signed Numbers Integers
  107.    wt: 6:   5 Zero Movement and Additive Inverses
  108.    wt: 6:   2 Integers Multiplies of a Unit Moverment
  109.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  110.    wt: 6:   23 Remainder Arithmetic Modulo 2
  111.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  112.    wt: 6:   21 Remainder Arithmetic Modulo 3
  113.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  114.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  115.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  116.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  117.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  118.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  119.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  120.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  121.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  122.    wt: 6:   5 Remainder Arithmetic Modulo 5
  123.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  124.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  125.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  126.    wt: 6:   1 Remainder Arithmetic Modulo 10
  127.    wt: 6:   19 video Prime Factorization Unique
  128.    wt: 6:   18 video Count Factors given Prime Factorization
  129.    wt: 6:   11 Efficient Square Rule Use
  130.    wt: 6:   10 video Prime Factorization upto 23 squared
  131.    wt: 6:   9 video Prime Factorization upto 19 squared
  132.    wt: 6:   8 video Prime Factorization upto 19
  133.    wt: 6:   4 video Prime Factorization Introduction
  134.    wt: 6:   1 video how Products are bigger than factor
  135.    wt: 6:   Division with Counts and Length
  136.    wt: 6:   Long Division forwards and backwards Example 3
  137.    wt: 6:   Long Division forwards and backwards Example 2
  138.    wt: 6:   Long Division forwards and backwards Example 1
  139.    wt: 6:   10 Division by Five Long and Short Ways
  140.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  141.    wt: 6:   1 Divsion Physical Examples
  142.    wt: 6:   C Counting Areas with Powers of Ten
  143.    wt: 6:   B Powers of Ten
  144.    wt: 6:   6 Multiplication Commutes Order Not Important
  145.    wt: 6:   4 Two and Three Digit Multipliers
  146.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  147.    wt: 6:   Appendix 1 Decimals Comparison Method Take II
  148.    wt: 6:   Subtraction Another Video Lesson
  149.    wt: 6:   9 22 Minute Subtraction Review Video
  150.    wt: 6:   5 A Tip for Efficent Subtraction
  151.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  152.    wt: 6:   4. How to add with decimals B with conversions
  153.    wt: 6:   3. How to add with decimals A sans conversions
  154.    wt: 6:   2 Decimal Counting Practices
  155.    wt: 6:   1. Explaining Addition Table
  156.    wt: 6:   11 Place Value SI Standard International way
  157.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  158.    wt: 6:   3 More on Groups of 3 Multi Digit Place Value
  159.    wt: 6:   2 Groups of Three Place Value for Multidigit Decimals
  160.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  161.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  162.    wt: 5:   arithmetic videos Real Player Format
  163.    wt: 5:   D Remainders Modulo 11 Pair Rule
  164.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  165.    wt: 5:   B Integer Long Division Multiple Choices
  166.    wt: 5:   A Associative Law Theorectical Note
  167.    wt: 5:   13 Subtraction with Additive Inverse
  168.    wt: 5:   10 Integer Multiplication Formulas
  169.    wt: 5:   9 Multiplying Integers
  170.    wt: 5:   7 Multiplication by Signs
  171.    wt: 5:   4 Adding Movements wiht opposite directions
  172.    wt: 5:   3 Adding Movements with same direction
  173.    wt: 5:   1 Integers as Coordinates
  174.    wt: 5:   Long Division Backwards more
  175.    wt: 5:   Long Division Backward
  176.    wt: 5:   12 Why Long Division Works Take III
  177.    wt: 5:   11 Another Single Digit Divisor Example
  178.    wt: 5:   9 Why Long Division Works Take II
  179.    wt: 5:   8 Correcting the Mistake
  180.    wt: 5:   7 Long Divison Mistake Catching
  181.    wt: 5:   5 Long Division Include Zeroes or not
  182.    wt: 5:   4 Division with 2 Digit Divsors
  183.    wt: 5:   3 Division Single Digit Divisor Example
  184.    wt: 5:   2 Division with Single Digit Divisors
  185.    wt: 5:   D Decimal Multiplication Methods Derived
  186.    wt: 5:   A Elementary Basis for Multiplication Methods
  187.    wt: 5:   5 Decimal Fraction Multiplication
  188.    wt: 5:   3 More One Digit Multipliers
  189.    wt: 5:   2 One Digit Multipliers
  190.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  191.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  192.    wt: 5:   Video Power Notation in Decimal Expansion
  193.    wt: 5:   1 Why 3 times 5 gives 15
  194.    wt: 5:   Formula Evaluation how to show work
  195.    wt: 5:   Expression Evaluation how to show work
  196.    wt: 5:   The 20 Times Table
  197.    wt: 5:   The 12 Times Table Visually
  198.    wt: 5:   About folder contents
  199.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  200.    wt: 4:   6 Field Properties of Complex Number
  201.    wt: 4:   8 Division and Mulplication of Compound Fractions
  202.    wt: 4:   2 Combing Counts Addition Skills and Principles
  203.    wt: 4:   1 The Counting Origins of Numbers
  204.    wt: 4:   5 Proportionality in Equivalent Fractions
  205.    wt: 4:   4 Rates Ratios and Proporitionality
  206.    wt: 4:   3 Proportionality Examples
  207.    wt: 4:   6 Three Examples
  208.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  209.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  210.    wt: 4:   6 Measuring via counting or arithmetic the role of fractions
  211.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  212.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  213.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  214.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  215.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  216.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  217.    wt: 3:   27 Logarithmic use of products of sines and cosines
  218.    wt: 3:   20 N th Roots of Complex Numbers
  219.    wt: 3:   5 An Easy Proof of the Distributive Law
  220.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  221.    wt: 3:   3 Trigonometric Ratios sine and cosine
  222.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  223.    wt: 3:   10 Midpoint of [a b] and [b a]
  224.    wt: 3:   6 Intersection of lines by solving linear systems
  225.    wt: 3:   1 Numerical view of lines and their equations
  226.    wt: 3:   6 Polar Multiplication and Rotation
  227.    wt: 3:   6 Ruler and compass Angle Bisection
  228.    wt: 3:   22 Multiplication of Signed Numbers
  229.    wt: 3:   21 Addition of Multiples of a Single Vector
  230.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  231.    wt: 3:   11 Signed Number Addition and Addition Properties
  232.    wt: 3:   B Decimal Comparison and Subtraction
  233.    wt: 3:   7 Decimals Multiplication Methods Examples
  234.    wt: 3:   6 Column Methods for Decimal Multiplication
  235.    wt: 3:   5 Distributive Law for Whole Numbers
  236.    wt: 3:   3 Multiplicative Counting Skills Principles
  237.    wt: 3:   5 Areas of Rectangles Revisited
  238.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  239.    wt: 3:   1 What is Proportionality
  240.    wt: 3:   4 Comparison of Negative Numbers
  241.    wt: 3:   2 More and Less Than for Counts and Measures
  242.    wt: 3:   10 Real Number Lengths and Signs
  243.    wt: 3:   1 Whole and Natural Numbers
  244.    wt: 3:   9 Three Examples
  245.    wt: 3:   7 Two Examples
  246.    wt: 3:   5 Three Examples
  247.    wt: 3:   4 Two Examples
  248.    wt: 3:   3 Two Examples
  249.    wt: 3:   2 Three Examples
  250.    wt: 3:   4 A Brief Story of numbers and algebra
  251.    wt: 3:   011 Division of Time Intervals By Numbers
  252.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  253.    wt: 3:   4 Mixing and Changing Units of Time
  254.    wt: 3:   3 Units and Lengths of Time
  255.    wt: 3:   1 Intro of Kids To Time Date Skills
  256.    wt: 3:   17 Derivatives of quotients of sine and cosine
  257.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  258.    wt: 3:   5 Jumps and absence of unlimited error control
  259.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  260.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  261.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
  262.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  263.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  264.    wt: 3:   I. Logic and language skills
  265.    wt: 3:   How to Build Skills and Confidence
  266.    wt: 3:   7 Games and Activities for Instruction
  267.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  268.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  269.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  270.    wt: 2:   Ramblings Extrinsic numbers theory
  271.    wt: 2:   Theory of Knowledge
  272.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  273.    wt: 2:   2 Reading and Writing Skills
  274.    wt: 2:   Ages 12 to 14 Skills with take home value
  275.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  276.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  277.    wt: 2:   8 Set view of relations and functions
  278.    wt: 2:   9 Summary Degrees to Radians and back
  279.    wt: 2:   8 Radian Measures of Common Angles
  280.    wt: 2:   2 Radian Measure Numerical Value of one degree
  281.    wt: 2:   1 Degrees and Radians Introduction
  282.    wt: 2:   4 Resultant of a Sum of Movements
  283.    wt: 2:   Vector and Complex Number Applet
  284.    wt: 2:   Parallel Lines and Parallel Transversals
  285.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  286.    wt: 2:   Parallel Lines and Interior Angles
  287.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  288.    wt: 2:   Straight Lines Intersection of
  289.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  290.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  291.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  292.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  293.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  294.    wt: 2:   26 Formulas for products of sines and cosines
  295.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  296.    wt: 2:   14 cosine even and sine and tangent are odd
  297.    wt: 2:   10 Graphs of sines and cosines many periods
  298.    wt: 2:   9 Graphs of sine and cosine over one period
  299.    wt: 2:   7 period of sine and cosine
  300.    wt: 2:   21 Logarithms Powers and Exponentials
  301.    wt: 2:   19 N th Roots of Unity
  302.    wt: 2:   18 Sixth Roots of Unity
  303.    wt: 2:   17 Cube Roots of unity
  304.    wt: 2:   16 References and Originality Question
  305.    wt: 2:   14 Law of cosines
  306.    wt: 2:   13 Trig Formulas for dot and cross Products
  307.    wt: 2:   12 cis formulas for sine cosines and tangent
  308.    wt: 2:   11 sine and cosine double triple angle formulas
  309.    wt: 2:   9 The complex number valued trig function cis
  310.    wt: 2:   8 Unit Circle Development of Trigonometry
  311.    wt: 2:   2 Complex Numbers made easier we hope
  312.    wt: 2:   Appetizer A Complex Number Applet
  313.    wt: 2:   7 Trignometric Ratios Unit Circle
  314.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  315.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  316.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  317.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  318.    wt: 2:   8 Similarity of Triangles and Polygons
  319.    wt: 2:   5 Similarity of Circles Squares and Rectangles
  320.    wt: 2:   7 Exercises to test skill and concept mastery
  321.    wt: 2:   5 Algebraic View of Slopes
  322.    wt: 2:   What is and is not here
  323.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  324.    wt: 2:   7 Complex Numbers Appetizer
  325.    wt: 2:   5 Cartesian Addition and Translation
  326.    wt: 2:   4 Polar Coordinates to and from
  327.    wt: 2:   PS H Distributive Law For Complex Numbers
  328.    wt: 2:   17 Right Bisectors of Triangle Sides
  329.    wt: 2:   16 Angles Subtended By Chords and Diameters
  330.    wt: 2:   9 Construction of a right bisector
  331.    wt: 2:   3 Isometry of Triangles Congruence
  332.    wt: 2:   1 Initial Concepts and Terms
  333.    wt: 2:   3 Lengths and Areas on Maps and Plans
  334.    wt: 2:   musings do not puiblish real numbers
  335.    wt: 2:   A Modular and Remainder Arithmetic
  336.    wt: 2:   A Signed Number Arithmetic Review
  337.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  338.    wt: 2:   19 Signed Multiples of Vectors
  339.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  340.    wt: 2:   13 Arrows and Vectors in a Plane
  341.    wt: 2:   12 Real Numbers Line Signed Coordinates
  342.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  343.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  344.    wt: 2:   4 Location of Point in Decimal Addition
  345.    wt: 2:   3 Location of Point in Decimal Multiplication
  346.    wt: 2:   1 Fractions with Finite Decimal Expansions
  347.    wt: 2:   E Long Division Methods more
  348.    wt: 2:   D Long Division Methods
  349.    wt: 2:   C Three Decimal Subtraction Methods
  350.    wt: 2:   A Decimal Addition Columm Methods
  351.    wt: 2:   8 Column Multiplication Methods in General
  352.    wt: 2:   4 Commutative Law Groups Counting Form
  353.    wt: 2:   4 Fraction Operations Axiomatic Development
  354.    wt: 2:   3 Inequalities Algebraically
  355.    wt: 2:   2 Fraction Operations Physical Development
  356.    wt: 2:   2 Algebraic View
  357.    wt: 2:   6 Equations and Systems Equivalent or Implied
  358.    wt: 2:   4 Subtraction and Division Axioms
  359.    wt: 2:   2 Addition and Multiplication Axioms
  360.    wt: 2:   3 More and Less Than with Unlike Signs
  361.    wt: 2:   1 Real Numbers Comparison
  362.    wt: 2:   16 Real Numbers Comparison
  363.    wt: 2:   15 Real Number Division
  364.    wt: 2:   14 Real Number Multiplication
  365.    wt: 2:   13 Real Number Subtraction
  366.    wt: 2:   12 Real Number Additive Inverses or Negatives
  367.    wt: 2:   11 Real Number Addition
  368.    wt: 2:   8 Coordinates for Maps and Planes
  369.    wt: 2:   7 Real Numbers as Line Cordinates
  370.    wt: 2:   6 Unsigned Real Numbers
  371.    wt: 2:   5 Rational Numbers More
  372.    wt: 2:   4 Rational Numbers
  373.    wt: 2:   3 Fractions
  374.    wt: 2:   3 Geometric Formulas and Function Notation
  375.    wt: 2:   1 Formulas Dependence and Function Notation
  376.    wt: 2:   Skill Development Notes
  377.    wt: 2:   10 One Example
  378.    wt: 2:   8 One Example
  379.    wt: 2:   8 Sets of Numbers
  380.    wt: 2:   5 Talking about Numbers and Quantities
  381.    wt: 2:   016 Numbering Occidental Calendar Days
  382.    wt: 2:   015 School and work day counting tables
  383.    wt: 2:   012 Division of Time Intervals by Time Intervals
  384.    wt: 2:   010 Repeated Addition of Time Intervals
  385.    wt: 2:   8 Addition of Time Intervals via subtotaling
  386.    wt: 2:   7 Addition of Time Intervals
  387.    wt: 2:   2 Time and Date Matters in School
  388.    wt: 2:   Example 2 volume of a cone
  389.    wt: 2:   Example 1 volume of a pyramid
  390.    wt: 2:   Volume of Solid by Cross Sections Lesson
  391.    wt: 2:   Example 1. Area Between x and x squared
  392.    wt: 2:   Example 4 with x function of y
  393.    wt: 2:   38 Formulas and derivatives for powers and roots
  394.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  395.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  396.    wt: 2:   11 Limits at infinity Three Examples
  397.    wt: 2:   9 Limits Continuity and Composition
  398.    wt: 2:   8 Four Animated Examples
  399.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  400.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  401.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  402.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  403.    wt: 2:   Appendix E. How To Study Mathematics and Why
  404.    wt: 2:   Appendix D. What to do in School and Why
  405.    wt: 2:   Chapter 31 Direct and Indirect Reason
  406.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  407.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  408.    wt: 2:   Chapter 25. Mathematical Induction Examples
  409.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  410.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  411.    wt: 2:   Chapter 20. Degrees and Radians
  412.    wt: 2:   Chapter 19. Functions and Sets
  413.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  414.    wt: 2:   Chapter 12. Shorthand Usage Guide
  415.    wt: 2:   Chapter 11. Why Shorthand
  416.    wt: 2:   Chapter 10 Describing and Changing Calculations
  417.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  418.    wt: 2:   Chapter 8 Three Skills For Algebra
  419.    wt: 2:   Chapter 6 Change of Language
  420.    wt: 2:   Chapter 4 Longer Chains of Reason
  421.    wt: 2:   Chapter 3 Chains of Reason
  422.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  423.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  424.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  425.    wt: 2:   R Why Learn Mathematics Skills
  426.    wt: 2:   O On Learning Mathematics and Science
  427.    wt: 2:   L Skills with take home value
  428.    wt: 2:   N Improving Marks on Tests and Finals
  429.    wt: 2:   J. More on written work and showing skill
  430.    wt: 2:   H Jigsaw puzzles and problem solving
  431.    wt: 2:   G. Written work formats for developing and showing skill
  432.    wt: 2:   E. When and how to correct errors
  433.    wt: 2:   C. Domino effect of being careful
  434.    wt: 2:   B. Domino effect of errors
  435.    wt: 1:   Appendix 1 primary and preschool mathematic
  436.    wt: 1:   G LAMP Introduction Problem Solving Skills
  437.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  438.    wt: 1:   Skills Chapter 5 Calculus
  439.    wt: 1:   Skills Chapter 4 Logic
  440.    wt: 1:   Skills Chapter 3 Algebra
  441.    wt: 1:   Skills Chapter 2 Geometry
  442.    wt: 1:   Skills Chapter 1 Arithmetic
  443.    wt: 1:   Skills Chapter 0 Introduction
  444.    wt: 1:   7 logic review and decimals an odd combination
  445.    wt: 1:   5 logarithms and exponentials etc
  446.    wt: 1:   2 arithmetic with signed numbers
  447.    wt: 1:   1 arithmetic with unsigned numbers
  448.    wt: 1:   key notes and themes
  449.    wt: 1:   Mathematics Education Professors
  450.    wt: 1:   what should be learnt and When
  451.    wt: 1:   standards for course material
  452.    wt: 1:   Education in mathematics science and technology
  453.    wt: 1:   Different Kinds of Reasoning in maths
  454.    wt: 1:   three kinds of reason in mathematics
  455.    wt: 1:   Motivation and Context Problem
  456.    wt: 1:   fairness and inductive principles for instruction
  457.    wt: 1:   E Kirchoffs Second Law
  458.    wt: 1:   D Kirchoff First Law
  459.    wt: 1:   Home Tutoring and Home Schooling
  460.    wt: 1:   24 Standards For Skill Develoment Take II
  461.    wt: 1:   24 Standards For Skill Develoment
  462.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  463.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  464.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  465.    wt: 1:   17 Math Booklets for children and young teenagers
  466.    wt: 1:   14 Multiplication and Times Tables
  467.    wt: 1:   13 Addition and Addition Tables
  468.    wt: 1:   12 Goals and Objectives For Mathematics
  469.    wt: 1:   11 Help and Defend Your Child or Teens Education
  470.    wt: 1:   8 The Effect of Negative Remarks
  471.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  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:   sign monoticity analysis example 4
  486.    wt: 1:   sign monoticity analysis example 3
  487.    wt: 1:   sign monoticity analysis example 2
  488.    wt: 1:   sign monoticity analysis example 1
  489.    wt: 1:   26 Function definitions done and coming
  490.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  491.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  492.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  493.    wt: 1:   19 Horizontal line rule and method
  494.    wt: 1:   18 Vertical Line Rule and Method
  495.    wt: 1:   17 Function maxima minima and their location
  496.    wt: 1:   15 Sign analysis of functions
  497.    wt: 1:   11 Function Domain Range Source and Targets
  498.    wt: 1:   9 Set theory term relation possible origins
  499.    wt: 1:   6 Set Existence Formation and Notation
  500.    wt: 1:   4 Function notation in and beyond mathematics
  501.    wt: 1:   2 Algebraic use of function notation
  502.    wt: 1:   1 Geometric Introduction of Function Notation
  503.    wt: 1:   9 quadratics physical and further context
  504.    wt: 1:   8 quadratics backward use of various formulas
  505.    wt: 1:   4 quadratics difference of two squares
  506.    wt: 1:   11 Growth and Decay in Biology
  507.    wt: 1:   10 Exponential Growth and Decay Models
  508.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  509.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  510.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  511.    wt: 1:   16 cotangent function Definition Graph and Inverse
  512.    wt: 1:   15 cosecant function Definition Graph and Inverse
  513.    wt: 1:   14 secant function Definition Graph and Inverse
  514.    wt: 1:   13 cosecant function Definition Graph and Inverse
  515.    wt: 1:   11 arctan left inverse of tangent Graph
  516.    wt: 1:   10 arctan left inverse of tangent Definition
  517.    wt: 1:   8 arcsin left inverse of sine Graph
  518.    wt: 1:   7 arcsin left inverse of sine Definition
  519.    wt: 1:   6 Graph of arccos function
  520.    wt: 1:   3 Left Inverse of cosine arccos definition
  521.    wt: 1:   7 Radian Measures in special Triangles
  522.    wt: 1:   6 Radian Measure to Degrees
  523.    wt: 1:   5 Degrees to Radian Measure
  524.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  525.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  526.    wt: 1:   A Global Time and Navigation
  527.    wt: 1:   15 Dot and Cross Product
  528.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  529.    wt: 1:   4 graphing y=Asin(x c)
  530.    wt: 1:   3 graphing y=f(x c) plus K
  531.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  532.    wt: 1:   1 graphing y=f(x a)
  533.    wt: 1:   Triangle Angles Sum To 180 Degrees
  534.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  535.    wt: 1:   Straight Lines ASA Intersection Study More
  536.    wt: 1:   Straight Lines ASA Intersection Study
  537.    wt: 1:   Straight Lines Instersection Solving Equations
  538.    wt: 1:   C Straight Lines Slope from Coordinates
  539.    wt: 1:   B Straight Line Slope Scaling Properties More
  540.    wt: 1:   A Straight Line Slope Scaling Properties
  541.    wt: 1:   14 Straight Lines Equations General Case
  542.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  543.    wt: 1:   12 Straight Lines Graphing mx plus b
  544.    wt: 1:   11 Straight Lines Graphing y=mx
  545.    wt: 1:   10 Straight Lines through Origin Equations More
  546.    wt: 1:   9 Straight Lines through Origin Equations
  547.    wt: 1:   8 Straight Lines Equation for vertical
  548.    wt: 1:   7 Tangent Function is odd on this domain
  549.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  550.    wt: 1:   5 Tangent Function Graph
  551.    wt: 1:   4 Tangent Function Properties
  552.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  553.    wt: 1:   1 Straight Lines Slope Concept
  554.    wt: 1:   32 seven rows of pascals triangle
  555.    wt: 1:   30 unit circle calculation of six trigonometric functions
  556.    wt: 1:   29 secant cosecant and cotangent for acute angles
  557.    wt: 1:   28 Expressing products of sines cosines as sums
  558.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  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:   18 sum of sinusoidal waves as a single wave
  563.    wt: 1:   17F Law of cosines
  564.    wt: 1:   17E Trig Formulas for dot and cross Products
  565.    wt: 1:   17D cis formulas for sine cosines and tangent
  566.    wt: 1:   17C sine and cosine double triple angle formulas
  567.    wt: 1:   17A The complex number valued trig function cis
  568.    wt: 1:   13 Graph of tangent function many periods
  569.    wt: 1:   12 Graph of tangent function for one period
  570.    wt: 1:   8 period of tangent function
  571.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  572.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  573.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  574.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  575.    wt: 1:   Unit Circle Development of Trigonometry
  576.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  577.    wt: 1:   15 Pythagorean Theorem Converse
  578.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  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:   1 Angle Measurement with Degrees
  585.    wt: 1:   Why Trigonometry the whyslopes view
  586.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  587.    wt: 1:   9 Similarity of Triangles Usual Criteria
  588.    wt: 1:   1 Early Concept of Like or Similar Shapes
  589.    wt: 1:   Four Simple Exercises
  590.    wt: 1:   12 Links Lessons elsewhere
  591.    wt: 1:   11 A Partial Summary
  592.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  593.    wt: 1:   8 Mid Point Formula
  594.    wt: 1:   4 Equations for lines three forms
  595.    wt: 1:   3 Slope product for perpendicular lines
  596.    wt: 1:   2 point slope equation for a line
  597.    wt: 1:   13 Pythagorean spatial distance formulas
  598.    wt: 1:   12 Spatial Coordinates
  599.    wt: 1:   11 Triangle Inequality
  600.    wt: 1:   10 Pythagorean plane distance formula
  601.    wt: 1:   8 Distance Between Points on a Line
  602.    wt: 1:   3 Rectangular Coordinates Review
  603.    wt: 1:   2 Cartesian Coordinates with signs
  604.    wt: 1:   1 Cartesian Coordinates sans signs
  605.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  606.    wt: 1:   PS G Rotation Distributes over Addition
  607.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  608.    wt: 1:   PS E Multiplication with Polar Coordinates
  609.    wt: 1:   PS D Addition with Cartesian Coordinates
  610.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  611.    wt: 1:   PS B Parallelogram Construction Methods
  612.    wt: 1:   PS A Kite Construction Methods
  613.    wt: 1:   21 Parallelograms
  614.    wt: 1:   19 Right Triangle Similarity
  615.    wt: 1:   18 Triangle Similarity Take 1
  616.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  617.    wt: 1:   14 Parallel Lines Postulate
  618.    wt: 1:   13 Angle Side Angle Failure
  619.    wt: 1:   12 Side Angle Side Failure
  620.    wt: 1:   11 Triangle Construction Fails
  621.    wt: 1:   10 Dropping a perpendicular to line
  622.    wt: 1:   8 Isoceles Triangles
  623.    wt: 1:   7 Angle Side Angle
  624.    wt: 1:   5 Side Angle Side
  625.    wt: 1:   4 Side Side Side
  626.    wt: 1:   2 Correspondence between Triangles
  627.    wt: 1:   Short Course on Euclidean Geometry
  628.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  629.    wt: 1:   26 More Less Greater Than Comparison
  630.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  631.    wt: 1:   23 Distributive Law Two Derivations
  632.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  633.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  634.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  635.    wt: 1:   15 Head to Tails in place Addition Associative
  636.    wt: 1:   9 Division with Digits after Decimal Point
  637.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  638.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  639.    wt: 1:   2 Counting Digits in Decimal Multiplication
  640.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  641.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  642.    wt: 1:   6 Compound Interest Forward and Backwards
  643.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  644.    wt: 1:   5 Equality in Algebra
  645.    wt: 1:   3 Product Axioms Two Forms
  646.    wt: 1:   1 Equivalent Computation Rules
  647.    wt: 1:   5 Greater More Less Than Signs in General
  648.    wt: 1:   9 Coordinates for Regions in Space
  649.    wt: 1:   2 Integers
  650.    wt: 1:   5 Independent versus Dependent Variables
  651.    wt: 1:   4 Changing Letters
  652.    wt: 1:   2 Computation Rules Evaluation
  653.    wt: 1:   4 GE III Animated Examples
  654.    wt: 1:   3 GE III Equation Addition and Multiplication
  655.    wt: 1:   1 GE Substitution four examples
  656.    wt: 1:   6 Algebraic Solution Example
  657.    wt: 1:   4 Four Examples Fractional Coefficients
  658.    wt: 1:   3 Four Examples
  659.    wt: 1:   2 Three Examples
  660.    wt: 1:   11 Volume of Sphere
  661.    wt: 1:   10 Volume of Pyramid
  662.    wt: 1:   9 Volume of Cone
  663.    wt: 1:   1 Written work formats for developing and showing skill
  664.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  665.    wt: 1:   9 Sets in Probability and Statistics
  666.    wt: 1:   6 Three Notions of What is a Variable
  667.    wt: 1:   1 Three Skills For Algebra
  668.    wt: 1:   014 Counting Days with Calendars
  669.    wt: 1:   013 Travel Time Tables
  670.    wt: 1:   6 How long is a million seconds
  671.    wt: 1:   5 Conversion Arithmetic
  672.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  673.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  674.    wt: 1:   Example 3
  675.    wt: 1:   Example 2
  676.    wt: 1:   Example 1
  677.    wt: 1:   Area Between Curves Lesson Take 2
  678.    wt: 1:   Area Between Curves Lesson Take 1
  679.    wt: 1:   Summary
  680.    wt: 1:   A Chain Rule Real Player video examples
  681.    wt: 1:   34 Derivative of exponential function
  682.    wt: 1:   33 Chain Rule Real Player video examples
  683.    wt: 1:   31 Derivatives of inverse functions
  684.    wt: 1:   30Chain Rule A Proof
  685.    wt: 1:   28 Chain Rule Preparation for a Proof
  686.    wt: 1:   25 Chain Rule Animated Examples Continued
  687.    wt: 1:   24 Chain Rule Animated Examples
  688.    wt: 1:   15 sine and cosine derivatives 3rd step
  689.    wt: 1:   14 sine and cosine derivatives 2nd step
  690.    wt: 1:   13 sine and cosine derivatives 1st step
  691.    wt: 1:   12 Quotient rule examples
  692.    wt: 1:   8 Differentiation of polynomials
  693.    wt: 1:   7 Animated Differentiation Examples
  694.    wt: 1:   10 Three one sided limits with infinite values
  695.    wt: 1:   7 Evaluation by immediate or delayed substitution
  696.    wt: 1:   6 Continuity at a point
  697.    wt: 1:   4 Numerical properties
  698.    wt: 1:   3 Decimal insights for limits continuity convergence
  699.    wt: 1:   2 Algebraic codification
  700.    wt: 1:   1 Numerical introduction
  701.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  702.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  703.    wt: 1:   G.3 Constant Difference Theorem Proof
  704.    wt: 1:   E2 Algebraic Properties of Limits
  705.    wt: 1:   D2 Limits of Monotone Sequences
  706.    wt: 1:   PostScript For and Against Decimal Perspectives
  707.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  708.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  709.    wt: 1:   Chapter 22 Complex Numbers
  710.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  711.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  712.    wt: 1:   Chapter 12. Units and Slopes
  713.    wt: 1:   Chapter 10 Slopes and Units
  714.    wt: 1:   Chapter 7 Slopes and Velocity
  715.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  716.    wt: 1:   Chapter 2. Slopes and Ski Trails
  717.    wt: 1:   Postscript More on Better Performance
  718.    wt: 1:   Postscript For Better Performance
  719.    wt: 1:   Appendix C. How to Read
  720.    wt: 1:   Appendix B. How To Learn
  721.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  722.    wt: 1:   Chapter 30 Truth Tables
  723.    wt: 1:   Chapter 28 Occurrence Tables
  724.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  725.    wt: 1:   Chapter 23. Notation For Sums
  726.    wt: 1:   Chapter 21. Third Reading Guide
  727.    wt: 1:   Chapter 18. Rules for Algebra
  728.    wt: 1:   Chapter 16. Painless Theorem Proving
  729.    wt: 1:   Chapter 15. Solving Linear Equations
  730.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  731.    wt: 1:   Chapter 13. Second Reading Guide
  732.    wt: 1:   Postscript What is a Variable
  733.    wt: 1:   Solutions For Arithmetic Exercises
  734.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  735.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  736.    wt: 1:   Foreword
  737.    wt: 1:   Chapter 7 Two Treatments of Geometry
  738.    wt: 1:   Chapter 2 For and Against Mathematics
  739.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  740.    wt: 1:   Postscript B More on Story Telling and Reason
  741.    wt: 1:   Chapter 24 Direct and Indirect Reason
  742.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  743.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  744.    wt: 1:   Chapter 18 Sense and Knowledge
  745.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  746.    wt: 1:   Chapter 8 Change of Language
  747.    wt: 1:   Chapter 7 Longer Chains of Reason
  748.    wt: 1:   Chapter 6 Chains of Reason
  749.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  750.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  751.    wt: 1:   S Adding words to algebra
  752.    wt: 1:   N Mathematics Prepare for College Studies
  753.    wt: 1:   M Words to extend arithmetic
  754.    wt: 1:   H more Routine to non routine problem solving
  755.    wt: 1:   F. The student teacher tutor feedback loop
  756.    wt: 1:   D. Check work a must with a caution
  757.    wt: 1:   A. Skill has to be seen to believed
  758.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  759.    wt: 1:   Chapter 8 Skipped Topics and Why
  760.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  761.    wt: 1:   Chapter 6 More Algebra and Geometry
  762.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  763.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  764.    wt: 1:   Helping the Blind in Logic and Mathematics
  765.    wt: 1:   More Algebra and Slope based Calculus Preview
  766.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  767.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  768.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  769.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  770.    wt: 1:   The Math Forum and Site Content
  771.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  772.    wt: 12:   B Fractions and Two Term Ratios
  773.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  774.    wt: 12:   10 Simplification of Fractions and Mixed Numerals
  775.    wt: 12:   9 Improper Fractions and Mixed Numbers
  776.    wt: 11:   21 Reciprocals for Fractions and Wholes
  777.    wt: 11:   6 Multiplication of Mixed Numbers
  778.    wt: 10:   3 Comparison of Negative Numbers
  779.    wt: 10:   1 More and Less Than for Counts and Measures
  780.    wt: 10:   D Three Term Ratios
  781.    wt: 10:   22 Complex Compound Fractions
  782.    wt: 10:   20 Dividing Fractions the Why
  783.    wt: 10:   19 Dividing Fractions How TO
  784.    wt: 10:   17 Efficient Ways to Add and Subtract
  785.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  786.    wt: 10:   14 Adding and Subtracting with Like Denominators
  787.    wt: 10:   5 Equivalent Fractions
  788.    wt: 10:   3 Unit fraction of a fraction

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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