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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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50 matches:

  1.    wt: 8:   10 Intersecting Straight Lines and Transversals/
  2.    wt: 7:   12 Function Translating and Rescaling/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 6:   13 Vectors/
  6.    wt: 6:   11 Parallel Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 4:   B Decimal Comparing and Subtracting Methods/
  17.    wt: 4:   A Decimal Counting and Adding Methods/
  18.    wt: 3:   A Origins of Counting and Figuring Methods/
  19.    wt: 3:   Step 4 Gaussian Elimination/
  20.    wt: 3:   Step 3 Easy systems in 2 or more unknowns/
  21.    wt: 3:   C Decimal Multiplication Methods/
  22.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  23.    wt: 2:   Step 1 Stick diagram and fractions/
  24.    wt: 2:   3 Solving Linear Equations/
  25.    wt: 2:   9 Combinatorics Trees Tables and Products/
  26.    wt: 2:   5 Integers/
  27.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  28.    wt: 2:   D Decimal Long Division Methods/
  29.    wt: 2:   2 Arithmetic with Decimals/
  30.    wt: 1:   B Real Numbers Extrinsic Development/
  31.    wt: 1:   10 Examples of Algebraic Reasoning/
  32.    wt: 1:   8 Unifying Theme For Algebra/
  33.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  34.    wt: 1:   1 Working With Sets/
  35.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  36.    wt: 1:   11 Squares and Square Roots/
  37.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  38.    wt: 1:   8 Arithmetic with Signed Numbers/
  39.    wt: 1:   7 Arithmetic and Fractions with Units/
  40.    wt: 1:   6 Fractions and Ratios/
  41.    wt: 1:   3 Prime Factorization Skills/
  42.    wt: 1:   1 Decimal Place Value/
  43.    wt: 1:   Arithmetic and Number Theory Skills/
  44.    wt: 1:   5 Lessons on Integration/
  45.    wt: 1:   4 Lessons on Using Derivatives/
  46.    wt: 1:   38 Lessons on Calculating Derivatives/
  47.    wt: 1:   13 Lessons on Limits and Continuity/
  48.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  49.    wt: 1:   Resources and Reciprocal Links/
  50.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

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535 matches:

  1.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  2.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  3.    wt: 4:   16 Increasing or decreasing on intervals
  4.    wt: 4:   7 arcsin left inverse of sine Definition
  5.    wt: 4:   13 Straight Lines Finding Equations from 2 points
  6.    wt: 4:   6 Intersection of lines by solving linear systems
  7.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  8.    wt: 3:   J LAMP Introduction Extrinsic Origins
  9.    wt: 3:   Ramblings Extrinsic numbers theory
  10.    wt: 3:   Maps Plans Drawings
  11.    wt: 3:   Different Kinds of Reasoning in maths
  12.    wt: 3:   fairness and inductive principles for instruction
  13.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  14.    wt: 3:   20 Interchanging coordinates a reflection
  15.    wt: 3:   8 arcsin left inverse of sine Graph
  16.    wt: 3:   3 Left Inverse of cosine arccos definition
  17.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  18.    wt: 3:   Straight Lines Instersection Solving Equations
  19.    wt: 3:   3 Straight Lines Slope as Tangent of Inclination Angle
  20.    wt: 3:   28 Expressing products of sines cosines as sums
  21.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  22.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  23.    wt: 3:   13 Arrows and Vectors in a Plane
  24.    wt: 3:   3 Location of Point in Decimal Multiplication
  25.    wt: 3:   2 Counting Digits in Decimal Multiplication
  26.    wt: 3:   8 Coordinates for Maps and Planes
  27.    wt: 3:   3 signed coordinates for maps and planes
  28.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  29.    wt: 3:   14 Adding and Subtracting with Like Denominators
  30.    wt: 3:   7 Adding decimal fractions using decimal point
  31.    wt: 3:   2 Indefinite Integrals Exercises
  32.    wt: 3:   1 Chain Rule in Reverse Integration Method
  33.    wt: 3:   27 Chain Rule sinusoidal outer inner functions EGS
  34.    wt: 3:   26 Chain Rule Recognising outer inner functions
  35.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  36.    wt: 3:   H more Routine to non routine problem solving
  37.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  38.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  39.    wt: 3:   Helping the Blind in Logic and Mathematics
  40.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  41.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  42.    wt: 2:   H LAMP Introduction Instructional Concepts
  43.    wt: 2:   G LAMP Introduction Problem Solving Skills
  44.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  45.    wt: 2:   Ramblings Introduction Algebra Essay
  46.    wt: 2:   3 Euclidean Geometry Leanly
  47.    wt: 2:   links Education Resources online
  48.    wt: 2:   grouping students according to ability
  49.    wt: 2:   teaching tutoring algebraic reason
  50.    wt: 2:   mathematics instruction in general
  51.    wt: 2:   three kinds of reason in mathematics
  52.    wt: 2:   cultivating intelligence
  53.    wt: 2:   Prequel In For A Penny In For A Pound
  54.    wt: 2:   chapitre 07 01 principle D induction mathematique
  55.    wt: 2:   Home Tutoring and Home Schooling
  56.    wt: 2:   2 Reading and Writing Skills
  57.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  58.    wt: 2:   26 Function definitions done and coming
  59.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  60.    wt: 2:   9 Set theory term relation possible origins
  61.    wt: 2:   7 Functions with finite domains
  62.    wt: 2:   Introduction Reading Guide
  63.    wt: 2:   3 quadratics factoring by inspection
  64.    wt: 2:   2 quadratics graphing in general
  65.    wt: 2:   16 cotangent function Definition Graph and Inverse
  66.    wt: 2:   15 cosecant function Definition Graph and Inverse
  67.    wt: 2:   14 secant function Definition Graph and Inverse
  68.    wt: 2:   13 cosecant function Definition Graph and Inverse
  69.    wt: 2:   10 arctan left inverse of tangent Definition
  70.    wt: 2:   5 Swapping Coordinates is a reflection
  71.    wt: 2:   13 Velocity Vectors in Physics
  72.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  73.    wt: 2:   6 Vectors with Coordinates
  74.    wt: 2:   4 graphing y=Asin(x c)
  75.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  76.    wt: 2:   Parallel Lines and Interior Angles
  77.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  78.    wt: 2:   Straight Lines ASA Intersection Study More
  79.    wt: 2:   Straight Lines ASA Intersection Study
  80.    wt: 2:   Straight Lines Intersection of
  81.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  82.    wt: 2:   C Straight Lines Slope from Coordinates
  83.    wt: 2:   B Straight Line Slope Scaling Properties More
  84.    wt: 2:   A Straight Line Slope Scaling Properties
  85.    wt: 2:   12 Straight Lines Graphing mx plus b
  86.    wt: 2:   11 Straight Lines Graphing y=mx
  87.    wt: 2:   10 Straight Lines through Origin Equations More
  88.    wt: 2:   9 Straight Lines through Origin Equations
  89.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  90.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  91.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  92.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  93.    wt: 2:   27 Logarithmic use of products of sines and cosines
  94.    wt: 2:   26 Formulas for products of sines and cosines
  95.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  96.    wt: 2:   21 sine and cosine Half Angle Formulas
  97.    wt: 2:   20 sine and cosine Double Angle Formulas
  98.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  99.    wt: 2:   18 sum of sinusoidal waves as a single wave
  100.    wt: 2:   17D cis formulas for sine cosines and tangent
  101.    wt: 2:   17C sine and cosine double triple angle formulas
  102.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  103.    wt: 2:   15 sine cosine Complementary Angle Relations
  104.    wt: 2:   14 cosine even and sine and tangent are odd
  105.    wt: 2:   11 tangent function undefined when terminal side vertical
  106.    wt: 2:   10 Graphs of sines and cosines many periods
  107.    wt: 2:   9 Graphs of sine and cosine over one period
  108.    wt: 2:   7 period of sine and cosine
  109.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  110.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  111.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  112.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  113.    wt: 2:   12 cis formulas for sine cosines and tangent
  114.    wt: 2:   11 sine and cosine double triple angle formulas
  115.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  116.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  117.    wt: 2:   3 Trigonometric Ratios sine and cosine
  118.    wt: 2:   4 Similarity Definition with Coordinate
  119.    wt: 2:   2 point slope equation for a line
  120.    wt: 2:   8 Distance Between Points on a Line
  121.    wt: 2:   PS E Multiplication with Polar Coordinates
  122.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  123.    wt: 2:   10 Dropping a perpendicular to line
  124.    wt: 2:   Short Course on Euclidean Geometry
  125.    wt: 2:   6 Figuring with Maps Not to Scale
  126.    wt: 2:   4 Angles on Maps Plans drawn to scale
  127.    wt: 2:   3 Lengths and Areas on Maps and Plans
  128.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  129.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  130.    wt: 2:   12 Real Numbers Line Signed Coordinates
  131.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  132.    wt: 2:   7 Arithmetic with Infinite Decimal Expansions
  133.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  134.    wt: 2:   4 Location of Point in Decimal Addition
  135.    wt: 2:   8 Column Multiplication Methods in General
  136.    wt: 2:   3 Multiplicative Counting Skills Principles
  137.    wt: 2:   2 Combing Counts Addition Skills and Principles
  138.    wt: 2:   1 The Counting Origins of Numbers
  139.    wt: 2:   9 Coordinates for Regions in Space
  140.    wt: 2:   7 Real Numbers as Line Cordinates
  141.    wt: 2:   13 Naming Identifying Formulas with Words
  142.    wt: 2:   7 Compound Interest Formula Introduction
  143.    wt: 2:   1 Written work formats for developing and showing skill
  144.    wt: 2:   1 Counting and Counting Methods I
  145.    wt: 2:   4 signed coordinates for regions in space
  146.    wt: 2:   7 Converting or Changing Units
  147.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  148.    wt: 2:   12 Adding Integers More Examples
  149.    wt: 2:   11 Adding Integers Formulas and Examples
  150.    wt: 2:   10 Integer Multiplication Formulas
  151.    wt: 2:   9 Multiplying Integers
  152.    wt: 2:   8 Multiplication by Signed Numbers Integers
  153.    wt: 2:   1 Integers as Coordinates
  154.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  155.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  156.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  157.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  158.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  159.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  160.    wt: 2:   6. Counting and adding units and mixed units
  161.    wt: 2:   1. Explaining Addition Table
  162.    wt: 2:   012 Division of Time Intervals by Time Intervals
  163.    wt: 2:   8 Addition of Time Intervals via subtotaling
  164.    wt: 2:   4 Mixing and Changing Units of Time
  165.    wt: 2:   4 Definite Integrals Evaluation Exercises
  166.    wt: 2:   29 Chain Rule Optional Reading
  167.    wt: 2:   25 Chain Rule Animated Examples Continued
  168.    wt: 2:   23 Chain Rule in general
  169.    wt: 2:   19 Chain Rule for linear functions
  170.    wt: 2:   18 Chain Rule Introduction
  171.    wt: 2:   17 Derivatives of quotients of sine and cosine
  172.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  173.    wt: 2:   15 sine and cosine derivatives 3rd step
  174.    wt: 2:   14 sine and cosine derivatives 2nd step
  175.    wt: 2:   13 sine and cosine derivatives 1st step
  176.    wt: 2:   11 Limits at infinity Three Examples
  177.    wt: 2:   10 Three one sided limits with infinite values
  178.    wt: 2:   6 Continuity at a point
  179.    wt: 2:   3 Decimal insights for limits continuity convergence
  180.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  181.    wt: 2:   F.4 Finite Covering Theorem
  182.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  183.    wt: 2:   Chapter 23 Links To Trigonometry
  184.    wt: 2:   Chapter 16. Painless Theorem Proving
  185.    wt: 2:   Chapter 15. Solving Linear Equations
  186.    wt: 2:   Chapter 10 Describing and Changing Calculations
  187.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  188.    wt: 2:   N Improving Marks on Tests and Finals
  189.    wt: 2:   G. Written work formats for developing and showing skill
  190.    wt: 2:   C. Domino effect of being careful
  191.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  192.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  193.    wt: 2:   Systematic Algebra Skill Development Missing Links
  194.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  195.    wt: 1:   K LAMP Musings Science Education
  196.    wt: 1:   I LAMP Introduction Study Habits
  197.    wt: 1:   F LAMP Introduction Prerequisites
  198.    wt: 1:   E LAMP Introduction Modern Mathematics
  199.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  200.    wt: 1:   A Introduction Objectives
  201.    wt: 1:   Skills Chapter 2 Geometry
  202.    wt: 1:   Skills Chapter 0 Introduction
  203.    wt: 1:   9 combinatorics probability sets
  204.    wt: 1:   8 analytic geometry etc
  205.    wt: 1:   7 logic review and decimals an odd combination
  206.    wt: 1:   site origins
  207.    wt: 1:   About site lesson plans
  208.    wt: 1:   learning takes time
  209.    wt: 1:   mathematics in context
  210.    wt: 1:   Education Reform Inconsistencies
  211.    wt: 1:   teaching tips
  212.    wt: 1:   Lessening Algebra Difficulties
  213.    wt: 1:   Operational Viewpoint to Value
  214.    wt: 1:   formal or informal peer review
  215.    wt: 1:   Theory of Knowledge
  216.    wt: 1:   Education in mathematics science and technology
  217.    wt: 1:   How to be a better instructor
  218.    wt: 1:   words for mathematics instructor
  219.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  220.    wt: 1:   chapitre 06 00 Chaines de la raison
  221.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  222.    wt: 1:   chapitre 01 00 Introduction
  223.    wt: 1:   deux definitions pour variable
  224.    wt: 1:   3 Like resistors in parallel
  225.    wt: 1:   2 Unlike resistors in parallel01
  226.    wt: 1:   1 Like resistors in series
  227.    wt: 1:   F Unlike Resistors in Series
  228.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  229.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  230.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  231.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  232.    wt: 1:   15 Counting For Parents
  233.    wt: 1:   14 Multiplication and Times Tables
  234.    wt: 1:   10 Ends values for work study instruction
  235.    wt: 1:   9 Streaming by Student Cooperation
  236.    wt: 1:   4 Learning Takes Time and Effort
  237.    wt: 1:   3 Preparing for Science Studies
  238.    wt: 1:   1 Speaking Skills
  239.    wt: 1:   Ages 12 to 14 Geometry
  240.    wt: 1:   Ages 10 to 12 Geometry
  241.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  242.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  243.    wt: 1:   23 Inverse Functions
  244.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  245.    wt: 1:   19 Horizontal line rule and method
  246.    wt: 1:   18 Vertical Line Rule and Method
  247.    wt: 1:   17 Function maxima minima and their location
  248.    wt: 1:   14 Surjections Injections Bijections
  249.    wt: 1:   12 Function Domain Recognition Exercises
  250.    wt: 1:   11 Function Domain Range Source and Targets
  251.    wt: 1:   10 Interval Notation
  252.    wt: 1:   4 Function notation in and beyond mathematics
  253.    wt: 1:   3 Formula or function graphing exercise
  254.    wt: 1:   1 Geometric Introduction of Function Notation
  255.    wt: 1:   5 quadratics completing the square
  256.    wt: 1:   1 quadratics graphing exercises
  257.    wt: 1:   Quadratics in 10 steps
  258.    wt: 1:   11 Growth and Decay in Biology
  259.    wt: 1:   8 Notes for instructors or tutors
  260.    wt: 1:   7 Links Lessons Elsewhere
  261.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  262.    wt: 1:   4 Polynomials Long division linear divisor
  263.    wt: 1:   3 Polynomials Multiplication Addition
  264.    wt: 1:   2 Column Multiplication Method
  265.    wt: 1:   Rewriting algebraic substitution as function substitutions
  266.    wt: 1:   11 arctan left inverse of tangent Graph
  267.    wt: 1:   9 motivation for name arcsin
  268.    wt: 1:   2 cosine function more properties
  269.    wt: 1:   1 cosine function properties
  270.    wt: 1:   7 Radian Measures in special Triangles
  271.    wt: 1:   1 Degrees and Radians Introduction
  272.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  273.    wt: 1:   9 Head to Tail Coordinate View
  274.    wt: 1:   8 Parallel Vectors
  275.    wt: 1:   3 Navigation with Arrows or Vectors
  276.    wt: 1:   2 Signed Coordinates
  277.    wt: 1:   1 Unsigned Coordinates
  278.    wt: 1:   3 graphing y=f(x c) plus K
  279.    wt: 1:   1 graphing y=f(x a)
  280.    wt: 1:   Parallel Lines and Parallel Transversals
  281.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  282.    wt: 1:   14 Straight Lines Equations General Case
  283.    wt: 1:   8 Straight Lines Equation for vertical
  284.    wt: 1:   7 Tangent Function is odd on this domain
  285.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  286.    wt: 1:   1 Straight Lines Slope Concept
  287.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  288.    wt: 1:   17F Law of cosines
  289.    wt: 1:   1 Unit Points Reflections Rotations
  290.    wt: 1:   Unit Circle Development of Trigonometry
  291.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  292.    wt: 1:   16 References and Originality Question
  293.    wt: 1:   14 Law of cosines
  294.    wt: 1:   8 Unit Circle Development of Trigonometry
  295.    wt: 1:   4 Multiplication Properties
  296.    wt: 1:   1 Rectangular Polar Coordinates Review
  297.    wt: 1:   8 Triangles Cascade Problem Solving
  298.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  299.    wt: 1:   Why Trigonometry the whyslopes view
  300.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  301.    wt: 1:   11 Triangle Similarity Missing Side Problem
  302.    wt: 1:   6 Geometric Diagrams in Class
  303.    wt: 1:   3 Similarity by Design with coordinates
  304.    wt: 1:   12 Links Lessons elsewhere
  305.    wt: 1:   10 Midpoint of [a b] and [b a]
  306.    wt: 1:   8 Mid Point Formula
  307.    wt: 1:   4 Equations for lines three forms
  308.    wt: 1:   3 Slope product for perpendicular lines
  309.    wt: 1:   1 Numerical view of lines and their equations
  310.    wt: 1:   12 Spatial Coordinates
  311.    wt: 1:   11 Triangle Inequality
  312.    wt: 1:   10 Pythagorean plane distance formula
  313.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  314.    wt: 1:   6 Polar Multiplication and Rotation
  315.    wt: 1:   4 Polar Coordinates to and from
  316.    wt: 1:   3 Rectangular Coordinates Review
  317.    wt: 1:   2 Cartesian Coordinates with signs
  318.    wt: 1:   1 Cartesian Coordinates sans signs
  319.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  320.    wt: 1:   PS D Addition with Cartesian Coordinates
  321.    wt: 1:   14 Parallel Lines Postulate
  322.    wt: 1:   1 Initial Concepts and Terms
  323.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  324.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  325.    wt: 1:   2 Measuring Area Directly
  326.    wt: 1:   musings do not puiblish real numbers
  327.    wt: 1:   A Modular and Remainder Arithmetic
  328.    wt: 1:   22 Multiplication of Signed Numbers
  329.    wt: 1:   21 Addition of Multiples of a Single Vector
  330.    wt: 1:   19 Signed Multiples of Vectors
  331.    wt: 1:   15 Head to Tails in place Addition Associative
  332.    wt: 1:   9 Division with Digits after Decimal Point
  333.    wt: 1:   1 Fractions with Finite Decimal Expansions
  334.    wt: 1:   7 Decimals Multiplication Methods Examples
  335.    wt: 1:   6 Column Methods for Decimal Multiplication
  336.    wt: 1:   4 Commutative Law Groups Counting Form
  337.    wt: 1:   3 Inequalities Algebraically
  338.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  339.    wt: 1:   5 Proportionality in Equivalent Fractions
  340.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  341.    wt: 1:   6 Compound Interest Forward and Backwards
  342.    wt: 1:   3 Linear Equation Literal Solution More
  343.    wt: 1:   2 Linear Equation Literal Solution
  344.    wt: 1:   1 Changing Calculations
  345.    wt: 1:   5 Equality in Algebra
  346.    wt: 1:   2 Addition and Multiplication Axioms
  347.    wt: 1:   5 Greater More Less Than Signs in General
  348.    wt: 1:   14 Real Number Multiplication
  349.    wt: 1:   12 Real Number Additive Inverses or Negatives
  350.    wt: 1:   2 Integers
  351.    wt: 1:   5 Independent versus Dependent Variables
  352.    wt: 1:   4 Changing Letters
  353.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  354.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  355.    wt: 1:   3 GE III Equation Addition and Multiplication
  356.    wt: 1:   4 Solving a triangular system exercise
  357.    wt: 1:   3 Solving triangular system example
  358.    wt: 1:   5 Algebraic Solutions Introduction
  359.    wt: 1:   Using Letters for Physical Quantities
  360.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  361.    wt: 1:   8 Compound Interest Formula Evaluation
  362.    wt: 1:   9 Sets in Probability and Statistics
  363.    wt: 1:   3 Counting with Sets etc
  364.    wt: 1:   1 Finite Sets
  365.    wt: 1:   5 Talking about Numbers and Quantities
  366.    wt: 1:   3 Adding Words To Arithmetic
  367.    wt: 1:   4 Greater More Less Than Signs in General
  368.    wt: 1:   1 Squares and Square Roots Introduction
  369.    wt: 1:   8 GCD from Euclidean Algorithm
  370.    wt: 1:   2 Least Common Multiple LCM intro via list method
  371.    wt: 1:   1 Least Common Multiples LCM Introduction
  372.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  373.    wt: 1:   4 Counting with Trees Product Rule Take I
  374.    wt: 1:   3 Counting with Tables and Trees II
  375.    wt: 1:   2 Counting with Tables and Trees I
  376.    wt: 1:   10 dividing signed numbers
  377.    wt: 1:   9 subtracting signed numbers
  378.    wt: 1:   8 multiplying signed numbers
  379.    wt: 1:   7 negative and additive inverse
  380.    wt: 1:   6 adding signed numbers
  381.    wt: 1:   2 signed and unsigned numbers as coordinates
  382.    wt: 1:   3 Multiplying Units and Numbers
  383.    wt: 1:   21 Working With Signs
  384.    wt: 1:   20 Dividing Fractions the Why
  385.    wt: 1:   19 Dividing Fractions How TO
  386.    wt: 1:   6 Multiplication of Mixed Numbers
  387.    wt: 1:   6 Multiplication Algebraically Take II
  388.    wt: 1:   4 Fraction Multiplication
  389.    wt: 1:   2 Unit Fraction Multiplication
  390.    wt: 1:   D Remainders Modulo 11 Pair Rule
  391.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  392.    wt: 1:   B Integer Long Division Multiple Choices
  393.    wt: 1:   13 Subtraction with Additive Inverse
  394.    wt: 1:   7 Multiplication by Signs
  395.    wt: 1:   6 Multiplication by Natural Numbers
  396.    wt: 1:   5 Zero Movement and Additive Inverses
  397.    wt: 1:   4 Adding Movements wiht opposite directions
  398.    wt: 1:   3 Adding Movements with same direction
  399.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  400.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  401.    wt: 1:   23 Remainder Arithmetic Modulo 2
  402.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  403.    wt: 1:   21 Remainder Arithmetic Modulo 3
  404.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  405.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  406.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  407.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  408.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  409.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  410.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  411.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  412.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  413.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  414.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  415.    wt: 1:   5 Remainder Arithmetic Modulo 5
  416.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  417.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  418.    wt: 1:   1 Remainder Arithmetic Modulo 10
  419.    wt: 1:   17 Identify and Count Factors using Primes
  420.    wt: 1:   16 video Factors of 980 using prime
  421.    wt: 1:   15 video Factors of 20 using Prime Factorization
  422.    wt: 1:   13 video Factors of 24 using prime
  423.    wt: 1:   12 LCD GCD and LCM using Primes
  424.    wt: 1:   4 video Prime Factorization Introduction
  425.    wt: 1:   11 Another Single Digit Divisor Example
  426.    wt: 1:   8 Correcting the Mistake
  427.    wt: 1:   7 Long Divison Mistake Catching
  428.    wt: 1:   5 Long Division Include Zeroes or not
  429.    wt: 1:   3 Division Single Digit Divisor Example
  430.    wt: 1:   2 Division with Single Digit Divisors
  431.    wt: 1:   D Decimal Multiplication Methods Derived
  432.    wt: 1:   C Counting Areas with Powers of Ten
  433.    wt: 1:   A Elementary Basis for Multiplication Methods
  434.    wt: 1:   6 Multiplication Commutes Order Not Important
  435.    wt: 1:   5 Decimal Fraction Multiplication
  436.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  437.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  438.    wt: 1:   Video Power Notation in Decimal Expansion
  439.    wt: 1:   9 22 Minute Subtraction Review Video
  440.    wt: 1:   2 Decimal Counting Practices
  441.    wt: 1:   11 Place Value SI Standard International way
  442.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  443.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  444.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  445.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  446.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  447.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  448.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  449.    wt: 1:   016 Numbering Occidental Calendar Days
  450.    wt: 1:   015 School and work day counting tables
  451.    wt: 1:   014 Counting Days with Calendars
  452.    wt: 1:   011 Division of Time Intervals By Numbers
  453.    wt: 1:   010 Repeated Addition of Time Intervals
  454.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  455.    wt: 1:   7 Addition of Time Intervals
  456.    wt: 1:   2 Time and Date Matters in School
  457.    wt: 1:   1 Intro of Kids To Time Date Skills
  458.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  459.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  460.    wt: 1:   A Related Material in Volume 3
  461.    wt: 1:   3 Two Chain Rule Method Exercises
  462.    wt: 1:   A Related lessons in Volume 3
  463.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  464.    wt: 1:   A Chain Rule Real Player video examples
  465.    wt: 1:   33 Chain Rule Real Player video examples
  466.    wt: 1:   31 Derivatives of inverse functions
  467.    wt: 1:   30Chain Rule A Proof
  468.    wt: 1:   28 Chain Rule Preparation for a Proof
  469.    wt: 1:   24 Chain Rule Animated Examples
  470.    wt: 1:   22 Chain Rule for polynomials
  471.    wt: 1:   21 Chain Rule for powers
  472.    wt: 1:   20 Chain Rule for Pulley Systems
  473.    wt: 1:   10 Power rule for negative integers
  474.    wt: 1:   3 Motivation for Limit Definition Take 2
  475.    wt: 1:   2 Motivation for Limit Definition Take 1
  476.    wt: 1:   9 Limits Continuity and Composition
  477.    wt: 1:   1 Numerical introduction
  478.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  479.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  480.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  481.    wt: 1:   F.5a Equicontinuity Theorems
  482.    wt: 1:   F.3 Intermediate Value Theorem
  483.    wt: 1:   F.1 What Functions are Continuous
  484.    wt: 1:   E1 Error Control Inequalities
  485.    wt: 1:   C Triangle Inequalities
  486.    wt: 1:   PostScript For and Against Decimal Perspectives
  487.    wt: 1:   A1. Introduction
  488.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  489.    wt: 1:   Chapter 18. Slopes Areas Integration
  490.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  491.    wt: 1:   Chapter 11. Graphing Slope versus Position
  492.    wt: 1:   Chapter 9 About First Courses in Calculus
  493.    wt: 1:   Chapter 8. Slope Interpretation
  494.    wt: 1:   Chapter 1.Introduction
  495.    wt: 1:   Appendix D. What to do in School and Why
  496.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  497.    wt: 1:   Chapter 31 Direct and Indirect Reason
  498.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  499.    wt: 1:   Chapter 25. Mathematical Induction Examples
  500.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  501.    wt: 1:   Chapter 21. Third Reading Guide
  502.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  503.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  504.    wt: 1:   Chapter 13. Second Reading Guide
  505.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  506.    wt: 1:   Chapter 4 Longer Chains of Reason
  507.    wt: 1:   Chapter 3 Chains of Reason
  508.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  509.    wt: 1:   Annotated Links to Material Elsehwere
  510.    wt: 1:   Chapter 11 Elementary Instruction
  511.    wt: 1:   Chapter 8 Modern Instruction
  512.    wt: 1:   Chapter 7 Two Treatments of Geometry
  513.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  514.    wt: 1:   Chapter 2 For and Against Mathematics
  515.    wt: 1:   Chapter 1 Introduction
  516.    wt: 1:   Postscript B More on Story Telling and Reason
  517.    wt: 1:   Postscript A Story Telling
  518.    wt: 1:   Chapter 24 Direct and Indirect Reason
  519.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  520.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  521.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  522.    wt: 1:   Chapter 7 Longer Chains of Reason
  523.    wt: 1:   Chapter 6 Chains of Reason
  524.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  525.    wt: 1:   Chapter 1 Introduction
  526.    wt: 1:   S Adding words to algebra
  527.    wt: 1:   O On Learning Mathematics and Science
  528.    wt: 1:   J. More on written work and showing skill
  529.    wt: 1:   H Jigsaw puzzles and problem solving
  530.    wt: 1:   B. Domino effect of errors
  531.    wt: 1:   Chapter 6 More Algebra and Geometry
  532.    wt: 1:   7 Games and Activities for Instruction
  533.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  534.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  535.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A

Extended Search

846 matches:

  1.    wt: 9:   8 arcsin left inverse of sine Graph
  2.    wt: 9:   3 Left Inverse of cosine arccos definition
  3.    wt: 9:   4 graphing y=Asin(x c)
  4.    wt: 9:   2 Graphing y=Af(x) Vertical Scaling
  5.    wt: 9:   Parallel Lines and Alternating Corresponding Angles
  6.    wt: 9:   3 Straight Lines Slope as Tangent of Inclination Angle
  7.    wt: 9:   28 Expressing products of sines cosines as sums
  8.    wt: 9:   9 Midpoint Coordinates Half Endpoint Sum
  9.    wt: 9:   2 point slope equation for a line
  10.    wt: 9:   6 Figuring with Maps Not to Scale
  11.    wt: 9:   4 Angles on Maps Plans drawn to scale
  12.    wt: 9:   3 Lengths and Areas on Maps and Plans
  13.    wt: 8:   16 cotangent function Definition Graph and Inverse
  14.    wt: 8:   15 cosecant function Definition Graph and Inverse
  15.    wt: 8:   14 secant function Definition Graph and Inverse
  16.    wt: 8:   13 cosecant function Definition Graph and Inverse
  17.    wt: 8:   10 arctan left inverse of tangent Definition
  18.    wt: 8:   5 Swapping Coordinates is a reflection
  19.    wt: 8:   13 Velocity Vectors in Physics
  20.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  21.    wt: 8:   6 Vectors with Coordinates
  22.    wt: 8:   2 Signed Coordinates
  23.    wt: 8:   3 graphing y=f(x c) plus K
  24.    wt: 8:   1 graphing y=f(x a)
  25.    wt: 8:   Parallel Lines and Interior Angles
  26.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  27.    wt: 8:   SAS Method For Isometric Or Proportional Triangle Construction
  28.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  29.    wt: 8:   C Straight Lines Slope from Coordinates
  30.    wt: 8:   B Straight Line Slope Scaling Properties More
  31.    wt: 8:   A Straight Line Slope Scaling Properties
  32.    wt: 8:   12 Straight Lines Graphing mx plus b
  33.    wt: 8:   11 Straight Lines Graphing y=mx
  34.    wt: 8:   10 Straight Lines through Origin Equations More
  35.    wt: 8:   9 Straight Lines through Origin Equations
  36.    wt: 8:   6 Tangent Function Inclination Angle Take 2
  37.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  38.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 8:   27 Logarithmic use of products of sines and cosines
  41.    wt: 8:   26 Formulas for products of sines and cosines
  42.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  43.    wt: 8:   21 sine and cosine Half Angle Formulas
  44.    wt: 8:   20 sine and cosine Double Angle Formulas
  45.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  46.    wt: 8:   18 sum of sinusoidal waves as a single wave
  47.    wt: 8:   17D cis formulas for sine cosines and tangent
  48.    wt: 8:   17C sine and cosine double triple angle formulas
  49.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  50.    wt: 8:   15 sine cosine Complementary Angle Relations
  51.    wt: 8:   14 cosine even and sine and tangent are odd
  52.    wt: 8:   11 tangent function undefined when terminal side vertical
  53.    wt: 8:   10 Graphs of sines and cosines many periods
  54.    wt: 8:   9 Graphs of sine and cosine over one period
  55.    wt: 8:   7 period of sine and cosine
  56.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  57.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  58.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  59.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  60.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  61.    wt: 8:   3 Trigonometric Ratios sine and cosine
  62.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  63.    wt: 8:   8 Distance Between Points on a Line
  64.    wt: 8:   2 Cartesian Coordinates with signs
  65.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  66.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  67.    wt: 8:   2 Measuring Area Directly
  68.    wt: 7:   11 arctan left inverse of tangent Graph
  69.    wt: 7:   9 motivation for name arcsin
  70.    wt: 7:   2 cosine function more properties
  71.    wt: 7:   1 cosine function properties
  72.    wt: 7:   14 Why Scalar Multiplication Distributes Physical Argument
  73.    wt: 7:   9 Head to Tail Coordinate View
  74.    wt: 7:   8 Parallel Vectors
  75.    wt: 7:   3 Navigation with Arrows or Vectors
  76.    wt: 7:   1 Unsigned Coordinates
  77.    wt: 7:   Parallel Lines and Parallel Transversals
  78.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  79.    wt: 7:   14 Straight Lines Equations General Case
  80.    wt: 7:   8 Straight Lines Equation for vertical
  81.    wt: 7:   7 Tangent Function is odd on this domain
  82.    wt: 7:   2 Straight Lines Slopes As Rise Over Run
  83.    wt: 7:   1 Straight Lines Slope Concept
  84.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  85.    wt: 7:   17F Law of cosines
  86.    wt: 7:   1 Unit Points Reflections Rotations
  87.    wt: 7:   Unit Circle Development of Trigonometry
  88.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  89.    wt: 7:   12 cis formulas for sine cosines and tangent
  90.    wt: 7:   11 sine and cosine double triple angle formulas
  91.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
  92.    wt: 7:   8 Triangles Cascade Problem Solving
  93.    wt: 7:   Why Trigonometry the whyslopes view
  94.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  95.    wt: 7:   4 Similarity Definition with Coordinate
  96.    wt: 7:   12 Links Lessons elsewhere
  97.    wt: 7:   10 Midpoint of [a b] and [b a]
  98.    wt: 7:   8 Mid Point Formula
  99.    wt: 7:   4 Equations for lines three forms
  100.    wt: 7:   3 Slope product for perpendicular lines
  101.    wt: 7:   1 Numerical view of lines and their equations
  102.    wt: 7:   12 Spatial Coordinates
  103.    wt: 7:   11 Triangle Inequality
  104.    wt: 7:   10 Pythagorean plane distance formula
  105.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  106.    wt: 7:   6 Polar Multiplication and Rotation
  107.    wt: 7:   4 Polar Coordinates to and from
  108.    wt: 7:   3 Rectangular Coordinates Review
  109.    wt: 7:   1 Cartesian Coordinates sans signs
  110.    wt: 7:   A Measurement with Ruler Proper Use
  111.    wt: 7:   1 Length Measurement
  112.    wt: 7:   7 Adding decimal fractions using decimal point
  113.    wt: 6:   12 motivation for term arctan
  114.    wt: 6:   6 Graph of arccos function
  115.    wt: 6:   4 possible motivation for term arccos
  116.    wt: 6:   7 Radian Measures in special Triangles
  117.    wt: 6:   1 Degrees and Radians Introduction
  118.    wt: 6:   A Global Time and Navigation
  119.    wt: 6:   15 Dot and Cross Product
  120.    wt: 6:   12 From Applied To Pure Mathematics
  121.    wt: 6:   11 Component Method
  122.    wt: 6:   10 Parallelogram Addition Method
  123.    wt: 6:   5 Head To Tail Arrow Addition
  124.    wt: 6:   4 Resultant of a Sum of Movements
  125.    wt: 6:   Vector and Complex Number Applet
  126.    wt: 6:   Triangle Angles Sum To 180 Degrees
  127.    wt: 6:   5 Tangent Function Graph
  128.    wt: 6:   4 Tangent Function Properties
  129.    wt: 6:   17 tangent function angle sum formulas
  130.    wt: 6:   32 seven rows of pascals triangle
  131.    wt: 6:   31 basic secant cosecant cotangent trig identities
  132.    wt: 6:   30 unit circle calculation of six trigonometric functions
  133.    wt: 6:   29 secant cosecant and cotangent for acute angles
  134.    wt: 6:   25 tangent double angle formula Slope connection
  135.    wt: 6:   24 tangent Angle Difference Formula
  136.    wt: 6:   17G Pythagorean Theorem Converse
  137.    wt: 6:   17E Trig Formulas for dot and cross Products
  138.    wt: 6:   17A The complex number valued trig function cis
  139.    wt: 6:   16 Right Triangle Complementary Angle Relations
  140.    wt: 6:   13 Graph of tangent function many periods
  141.    wt: 6:   12 Graph of tangent function for one period
  142.    wt: 6:   8 period of tangent function
  143.    wt: 6:   2 Quadrant I reference Angles
  144.    wt: 6:   16 References and Originality Question
  145.    wt: 6:   14 Law of cosines
  146.    wt: 6:   8 Unit Circle Development of Trigonometry
  147.    wt: 6:   4 Multiplication Properties
  148.    wt: 6:   2 Complex Numbers made easier we hope
  149.    wt: 6:   1 Rectangular Polar Coordinates Review
  150.    wt: 6:   7 Trignometric Ratios Unit Circle
  151.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  152.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  153.    wt: 6:   1 Angle Measurement with Degrees
  154.    wt: 6:   11 Triangle Similarity Missing Side Problem
  155.    wt: 6:   6 Geometric Diagrams in Class
  156.    wt: 6:   3 Similarity by Design with coordinates
  157.    wt: 6:   Four Simple Exercises
  158.    wt: 6:   11 A Partial Summary
  159.    wt: 6:   7 Exercises to test skill and concept mastery
  160.    wt: 6:   5 Algebraic View of Slopes
  161.    wt: 6:   What is and is not here
  162.    wt: 6:   13 Pythagorean spatial distance formulas
  163.    wt: 6:   7 Complex Numbers Appetizer
  164.    wt: 6:   5 Cartesian Addition and Translation
  165.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
  166.    wt: 6:   2 Combing Counts Addition Skills and Principles
  167.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  168.    wt: 6:   6. Counting and adding units and mixed units
  169.    wt: 6:   1. Explaining Addition Table
  170.    wt: 5:   9 Summary Degrees to Radians and back
  171.    wt: 5:   8 Radian Measures of Common Angles
  172.    wt: 5:   6 Radian Measure to Degrees
  173.    wt: 5:   5 Degrees to Radian Measure
  174.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  175.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  176.    wt: 5:   2 Radian Measure Numerical Value of one degree
  177.    wt: 5:   21 Logarithms Powers and Exponentials
  178.    wt: 5:   20 N th Roots of Complex Numbers
  179.    wt: 5:   19 N th Roots of Unity
  180.    wt: 5:   18 Sixth Roots of Unity
  181.    wt: 5:   17 Cube Roots of unity
  182.    wt: 5:   15 Pythagorean Theorem Converse
  183.    wt: 5:   13 Trig Formulas for dot and cross Products
  184.    wt: 5:   9 The complex number valued trig function cis
  185.    wt: 5:   7 Second Way to Calculate Products
  186.    wt: 5:   6 Field Properties of Complex Number
  187.    wt: 5:   5 An Easy Proof of the Distributive Law
  188.    wt: 5:   3 Addition Properties
  189.    wt: 5:   Appetizer A Complex Number Applet
  190.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  191.    wt: 5:   12 Triangles Similarity More Problems
  192.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  193.    wt: 5:   9 Similarity of Triangles Usual Criteria
  194.    wt: 5:   8 Similarity of Triangles and Polygons
  195.    wt: 5:   7 Translations Rotations Reflections Dilatations
  196.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  197.    wt: 5:   2 Similarity By Design
  198.    wt: 5:   1 Early Concept of Like or Similar Shapes
  199.    wt: 5:   About Folder Contents
  200.    wt: 5:   8 Column Multiplication Methods in General
  201.    wt: 5:   3 Multiplicative Counting Skills Principles
  202.    wt: 5:   1 The Counting Origins of Numbers
  203.    wt: 5:   9 22 Minute Subtraction Review Video
  204.    wt: 5:   2 Subtraction Easy Case Examples
  205.    wt: 5:   2 Decimal Counting Practices
  206.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  207.    wt: 4:   20 Interchanging coordinates a reflection
  208.    wt: 4:   16 Increasing or decreasing on intervals
  209.    wt: 4:   13 Arrows and Vectors in a Plane
  210.    wt: 4:   3 Location of Point in Decimal Multiplication
  211.    wt: 4:   2 Counting Digits in Decimal Multiplication
  212.    wt: 4:   7 Decimals Multiplication Methods Examples
  213.    wt: 4:   6 Column Methods for Decimal Multiplication
  214.    wt: 4:   4 Commutative Law Groups Counting Form
  215.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  216.    wt: 4:   3 Gaussian Elimination 3 unknowns first example
  217.    wt: 4:   3 GE III Equation Addition and Multiplication
  218.    wt: 4:   2 GE II Comparison
  219.    wt: 4:   4 Solving a triangular system exercise
  220.    wt: 4:   3 Solving triangular system example
  221.    wt: 4:   2 Essentially one exercises three with solution
  222.    wt: 4:   1 Counting and Counting Methods I
  223.    wt: 4:   3 signed coordinates for maps and planes
  224.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
  225.    wt: 4:   14 Adding and Subtracting with Like Denominators
  226.    wt: 4:   12 Adding Integers More Examples
  227.    wt: 4:   11 Adding Integers Formulas and Examples
  228.    wt: 4:   10 Integer Multiplication Formulas
  229.    wt: 4:   9 Multiplying Integers
  230.    wt: 4:   8 Multiplication by Signed Numbers Integers
  231.    wt: 4:   2 Integers Multiplies of a Unit Moverment
  232.    wt: 4:   1 Integers as Coordinates
  233.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  234.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  235.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  236.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  237.    wt: 4:   4 Remainder Arithmetic Modulo 10 in general
  238.    wt: 4:   2 Division with Single Digit Divisors
  239.    wt: 4:   D Decimal Multiplication Methods Derived
  240.    wt: 4:   C Counting Areas with Powers of Ten
  241.    wt: 4:   A Elementary Basis for Multiplication Methods
  242.    wt: 4:   6 Multiplication Commutes Order Not Important
  243.    wt: 4:   5 Decimal Fraction Multiplication
  244.    wt: 4:   2 One Digit Multipliers
  245.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  246.    wt: 4:   Video Decimal Multiplication Geometric View Example 2
  247.    wt: 4:   Video Power Notation in Decimal Expansion
  248.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  249.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  250.    wt: 4:   Subtraction with J Conversions Example
  251.    wt: 4:   Subtraction Another Video Lesson
  252.    wt: 4:   8 Subtraction with Units of Measure
  253.    wt: 4:   7 Subtraction for Decimal Fractions with Exercises
  254.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  255.    wt: 4:   5 A Tip for Efficent Subtraction
  256.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  257.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  258.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  259.    wt: 4:   8 What skills and work habits to require
  260.    wt: 4:   5. How to add decimals C. Examples
  261.    wt: 4:   4. How to add with decimals B with conversions
  262.    wt: 4:   3. How to add with decimals A sans conversions
  263.    wt: 4:   2 Indefinite Integrals Exercises
  264.    wt: 4:   1 Chain Rule in Reverse Integration Method
  265.    wt: 4:   27 Chain Rule sinusoidal outer inner functions EGS
  266.    wt: 4:   26 Chain Rule Recognising outer inner functions
  267.    wt: 4:   4 Money Matters Saving Earning Buying Selling and Budgets
  268.    wt: 3:   J LAMP Introduction Extrinsic Origins
  269.    wt: 3:   Ramblings Extrinsic numbers theory
  270.    wt: 3:   Maps Plans Drawings
  271.    wt: 3:   Different Kinds of Reasoning in maths
  272.    wt: 3:   fairness and inductive principles for instruction
  273.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  274.    wt: 3:   2 Reading and Writing Skills
  275.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  276.    wt: 3:   16 Collinear Horizontal Arrows Vectors
  277.    wt: 3:   12 Real Numbers Line Signed Coordinates
  278.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  279.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
  280.    wt: 3:   5 Fractions with Infinite Decimal Expansions
  281.    wt: 3:   4 Location of Point in Decimal Addition
  282.    wt: 3:   E Long Division Methods more
  283.    wt: 3:   D Long Division Methods
  284.    wt: 3:   C Three Decimal Subtraction Methods
  285.    wt: 3:   B Decimal Comparison and Subtraction
  286.    wt: 3:   A Decimal Addition Columm Methods
  287.    wt: 3:   5 Distributive Law for Whole Numbers
  288.    wt: 3:   8 Coordinates for Maps and Planes
  289.    wt: 3:   4 GE III Animated Examples
  290.    wt: 3:   1 GE Substitution four examples
  291.    wt: 3:   1 Essentially One Unknown
  292.    wt: 3:   5 Algebraic Solutions Introduction
  293.    wt: 3:   2 Three Examples
  294.    wt: 3:   2 Three Examples
  295.    wt: 3:   Using Letters for Physical Quantities
  296.    wt: 3:   5 Counting with Tables Trees Product Rule Take II
  297.    wt: 3:   4 Counting with Trees Product Rule Take I
  298.    wt: 3:   3 Counting with Tables and Trees II
  299.    wt: 3:   2 Counting with Tables and Trees I
  300.    wt: 3:   4 signed coordinates for regions in space
  301.    wt: 3:   7 Converting or Changing Units
  302.    wt: 3:   Fraction Operations by Raising Terms A Simple Innovation
  303.    wt: 3:   D Remainders Modulo 11 Pair Rule
  304.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  305.    wt: 3:   B Integer Long Division Multiple Choices
  306.    wt: 3:   13 Subtraction with Additive Inverse
  307.    wt: 3:   7 Multiplication by Signs
  308.    wt: 3:   6 Multiplication by Natural Numbers
  309.    wt: 3:   5 Zero Movement and Additive Inverses
  310.    wt: 3:   4 Adding Movements wiht opposite directions
  311.    wt: 3:   3 Adding Movements with same direction
  312.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  313.    wt: 3:   23 Remainder Arithmetic Modulo 2
  314.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  315.    wt: 3:   21 Remainder Arithmetic Modulo 3
  316.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  317.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  318.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  319.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  320.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  321.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  322.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  323.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  324.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  325.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  326.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  327.    wt: 3:   5 Remainder Arithmetic Modulo 5
  328.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  329.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  330.    wt: 3:   1 Remainder Arithmetic Modulo 10
  331.    wt: 3:   11 Another Single Digit Divisor Example
  332.    wt: 3:   8 Correcting the Mistake
  333.    wt: 3:   7 Long Divison Mistake Catching
  334.    wt: 3:   5 Long Division Include Zeroes or not
  335.    wt: 3:   3 Division Single Digit Divisor Example
  336.    wt: 3:   B Powers of Ten
  337.    wt: 3:   4 Two and Three Digit Multipliers
  338.    wt: 3:   3 More One Digit Multipliers
  339.    wt: 3:   1 Why 3 times 5 gives 15
  340.    wt: 3:   4 Definite Integrals Evaluation Exercises
  341.    wt: 3:   29 Chain Rule Optional Reading
  342.    wt: 3:   25 Chain Rule Animated Examples Continued
  343.    wt: 3:   23 Chain Rule in general
  344.    wt: 3:   19 Chain Rule for linear functions
  345.    wt: 3:   18 Chain Rule Introduction
  346.    wt: 3:   17 Derivatives of quotients of sine and cosine
  347.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  348.    wt: 3:   15 sine and cosine derivatives 3rd step
  349.    wt: 3:   14 sine and cosine derivatives 2nd step
  350.    wt: 3:   13 sine and cosine derivatives 1st step
  351.    wt: 3:   11 Limits at infinity Three Examples
  352.    wt: 3:   10 Three one sided limits with infinite values
  353.    wt: 3:   6 Continuity at a point
  354.    wt: 3:   3 Decimal insights for limits continuity convergence
  355.    wt: 3:   Chapter 23 Links To Trigonometry
  356.    wt: 3:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  357.    wt: 3:   H more Routine to non routine problem solving
  358.    wt: 3:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  359.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  360.    wt: 3:   Helping the Blind in Logic and Mathematics
  361.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  362.    wt: 3:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  363.    wt: 2:   H LAMP Introduction Instructional Concepts
  364.    wt: 2:   G LAMP Introduction Problem Solving Skills
  365.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  366.    wt: 2:   Ramblings Introduction Algebra Essay
  367.    wt: 2:   3 Euclidean Geometry Leanly
  368.    wt: 2:   links Education Resources online
  369.    wt: 2:   grouping students according to ability
  370.    wt: 2:   teaching tutoring algebraic reason
  371.    wt: 2:   mathematics instruction in general
  372.    wt: 2:   three kinds of reason in mathematics
  373.    wt: 2:   cultivating intelligence
  374.    wt: 2:   Prequel In For A Penny In For A Pound
  375.    wt: 2:   chapitre 07 01 principle D induction mathematique
  376.    wt: 2:   Home Tutoring and Home Schooling
  377.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  378.    wt: 2:   26 Function definitions done and coming
  379.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  380.    wt: 2:   9 Set theory term relation possible origins
  381.    wt: 2:   7 Functions with finite domains
  382.    wt: 2:   Introduction Reading Guide
  383.    wt: 2:   3 quadratics factoring by inspection
  384.    wt: 2:   2 quadratics graphing in general
  385.    wt: 2:   musings do not puiblish real numbers
  386.    wt: 2:   A Modular and Remainder Arithmetic
  387.    wt: 2:   22 Multiplication of Signed Numbers
  388.    wt: 2:   21 Addition of Multiples of a Single Vector
  389.    wt: 2:   19 Signed Multiples of Vectors
  390.    wt: 2:   15 Head to Tails in place Addition Associative
  391.    wt: 2:   9 Division with Digits after Decimal Point
  392.    wt: 2:   1 Fractions with Finite Decimal Expansions
  393.    wt: 2:   3 Inequalities Algebraically
  394.    wt: 2:   1 Decimals Modular and Remainder Arithmetic
  395.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  396.    wt: 2:   6 Compound Interest Forward and Backwards
  397.    wt: 2:   3 Linear Equation Literal Solution More
  398.    wt: 2:   2 Linear Equation Literal Solution
  399.    wt: 2:   1 Changing Calculations
  400.    wt: 2:   5 Greater More Less Than Signs in General
  401.    wt: 2:   9 Coordinates for Regions in Space
  402.    wt: 2:   7 Real Numbers as Line Cordinates
  403.    wt: 2:   More Exercises
  404.    wt: 2:   Simple Exercises
  405.    wt: 2:   6 Algebraic Solution Example
  406.    wt: 2:   4 Four Examples Fractional Coefficients
  407.    wt: 2:   3 Four Examples
  408.    wt: 2:   1 Proper Equal Sign Usage
  409.    wt: 2:   Skill Development Notes
  410.    wt: 2:   10 One Example
  411.    wt: 2:   9 Three Examples
  412.    wt: 2:   8 One Example
  413.    wt: 2:   7 Two Examples
  414.    wt: 2:   6 Three Examples
  415.    wt: 2:   5 Three Examples
  416.    wt: 2:   4 Two Examples
  417.    wt: 2:   3 Two Examples
  418.    wt: 2:   Formula Usage Show Work Format
  419.    wt: 2:   13 Naming Identifying Formulas with Words
  420.    wt: 2:   7 Compound Interest Formula Introduction
  421.    wt: 2:   1 Written work formats for developing and showing skill
  422.    wt: 2:   9 Sets in Probability and Statistics
  423.    wt: 2:   3 Counting with Sets etc
  424.    wt: 2:   1 Finite Sets
  425.    wt: 2:   4 Greater More Less Than Signs in General
  426.    wt: 2:   2 More and Less Than with Unlike Signs
  427.    wt: 2:   1 Squares and Square Roots Introduction
  428.    wt: 2:   8 GCD from Euclidean Algorithm
  429.    wt: 2:   2 Least Common Multiple LCM intro via list method
  430.    wt: 2:   1 Least Common Multiples LCM Introduction
  431.    wt: 2:   10 dividing signed numbers
  432.    wt: 2:   9 subtracting signed numbers
  433.    wt: 2:   8 multiplying signed numbers
  434.    wt: 2:   7 negative and additive inverse
  435.    wt: 2:   6 adding signed numbers
  436.    wt: 2:   2 signed and unsigned numbers as coordinates
  437.    wt: 2:   3 Multiplying Units and Numbers
  438.    wt: 2:   21 Working With Signs
  439.    wt: 2:   20 Dividing Fractions the Why
  440.    wt: 2:   19 Dividing Fractions How TO
  441.    wt: 2:   6 Multiplication of Mixed Numbers
  442.    wt: 2:   6 Multiplication Algebraically Take II
  443.    wt: 2:   4 Fraction Multiplication
  444.    wt: 2:   2 Unit Fraction Multiplication
  445.    wt: 2:   A Associative Law Theorectical Note
  446.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  447.    wt: 2:   26 Divisibility by 2 3 5 Example
  448.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  449.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  450.    wt: 2:   17 Identify and Count Factors using Primes
  451.    wt: 2:   16 video Factors of 980 using prime
  452.    wt: 2:   15 video Factors of 20 using Prime Factorization
  453.    wt: 2:   13 video Factors of 24 using prime
  454.    wt: 2:   12 LCD GCD and LCM using Primes
  455.    wt: 2:   4 video Prime Factorization Introduction
  456.    wt: 2:   2 Prime and Composites less than 16
  457.    wt: 2:   Long Division Backwards more
  458.    wt: 2:   Long Division Backward
  459.    wt: 2:   Division with Counts and Length
  460.    wt: 2:   Long Division forwards and backwards Example 3
  461.    wt: 2:   Long Division forwards and backwards Example 2
  462.    wt: 2:   Long Division forwards and backwards Example 1
  463.    wt: 2:   12 Why Long Division Works Take III
  464.    wt: 2:   10 Division by Five Long and Short Ways
  465.    wt: 2:   9 Why Long Division Works Take II
  466.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  467.    wt: 2:   4 Division with 2 Digit Divsors
  468.    wt: 2:   1 Divsion Physical Examples
  469.    wt: 2:   11 Place Value SI Standard International way
  470.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  471.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  472.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  473.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  474.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  475.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  476.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  477.    wt: 2:   012 Division of Time Intervals by Time Intervals
  478.    wt: 2:   8 Addition of Time Intervals via subtotaling
  479.    wt: 2:   4 Mixing and Changing Units of Time
  480.    wt: 2:   A Related Material in Volume 3
  481.    wt: 2:   3 Two Chain Rule Method Exercises
  482.    wt: 2:   A Related lessons in Volume 3
  483.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
  484.    wt: 2:   A Chain Rule Real Player video examples
  485.    wt: 2:   33 Chain Rule Real Player video examples
  486.    wt: 2:   31 Derivatives of inverse functions
  487.    wt: 2:   30Chain Rule A Proof
  488.    wt: 2:   28 Chain Rule Preparation for a Proof
  489.    wt: 2:   24 Chain Rule Animated Examples
  490.    wt: 2:   22 Chain Rule for polynomials
  491.    wt: 2:   21 Chain Rule for powers
  492.    wt: 2:   20 Chain Rule for Pulley Systems
  493.    wt: 2:   10 Power rule for negative integers
  494.    wt: 2:   3 Motivation for Limit Definition Take 2
  495.    wt: 2:   2 Motivation for Limit Definition Take 1
  496.    wt: 2:   9 Limits Continuity and Composition
  497.    wt: 2:   1 Numerical introduction
  498.    wt: 2:   G.4 Lipschitz Continuity implies EquiContinuity
  499.    wt: 2:   F.4 Finite Covering Theorem
  500.    wt: 2:   B1 Pigeon Hole Principles from combinatorics
  501.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  502.    wt: 2:   Chapter 18. Slopes Areas Integration
  503.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  504.    wt: 2:   Chapter 11. Graphing Slope versus Position
  505.    wt: 2:   Chapter 9 About First Courses in Calculus
  506.    wt: 2:   Chapter 8. Slope Interpretation
  507.    wt: 2:   Chapter 1.Introduction
  508.    wt: 2:   Chapter 16. Painless Theorem Proving
  509.    wt: 2:   Chapter 15. Solving Linear Equations
  510.    wt: 2:   Chapter 10 Describing and Changing Calculations
  511.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  512.    wt: 2:   N Improving Marks on Tests and Finals
  513.    wt: 2:   G. Written work formats for developing and showing skill
  514.    wt: 2:   C. Domino effect of being careful
  515.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  516.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  517.    wt: 2:   Systematic Algebra Skill Development Missing Links
  518.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  519.    wt: 1:   K LAMP Musings Science Education
  520.    wt: 1:   I LAMP Introduction Study Habits
  521.    wt: 1:   F LAMP Introduction Prerequisites
  522.    wt: 1:   E LAMP Introduction Modern Mathematics
  523.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  524.    wt: 1:   A Introduction Objectives
  525.    wt: 1:   Skills Chapter 2 Geometry
  526.    wt: 1:   Skills Chapter 0 Introduction
  527.    wt: 1:   9 combinatorics probability sets
  528.    wt: 1:   8 analytic geometry etc
  529.    wt: 1:   7 logic review and decimals an odd combination
  530.    wt: 1:   site origins
  531.    wt: 1:   About site lesson plans
  532.    wt: 1:   learning takes time
  533.    wt: 1:   mathematics in context
  534.    wt: 1:   Education Reform Inconsistencies
  535.    wt: 1:   teaching tips
  536.    wt: 1:   Lessening Algebra Difficulties
  537.    wt: 1:   Operational Viewpoint to Value
  538.    wt: 1:   formal or informal peer review
  539.    wt: 1:   Theory of Knowledge
  540.    wt: 1:   Education in mathematics science and technology
  541.    wt: 1:   How to be a better instructor
  542.    wt: 1:   words for mathematics instructor
  543.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  544.    wt: 1:   chapitre 06 00 Chaines de la raison
  545.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  546.    wt: 1:   chapitre 01 00 Introduction
  547.    wt: 1:   deux definitions pour variable
  548.    wt: 1:   2 Conductance Resistance Duality02
  549.    wt: 1:   3 Like resistors in parallel
  550.    wt: 1:   2 Unlike resistors in parallel01
  551.    wt: 1:   1 Like resistors in series
  552.    wt: 1:   F Unlike Resistors in Series
  553.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  554.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  555.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  556.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  557.    wt: 1:   15 Counting For Parents
  558.    wt: 1:   14 Multiplication and Times Tables
  559.    wt: 1:   10 Ends values for work study instruction
  560.    wt: 1:   9 Streaming by Student Cooperation
  561.    wt: 1:   4 Learning Takes Time and Effort
  562.    wt: 1:   3 Preparing for Science Studies
  563.    wt: 1:   1 Speaking Skills
  564.    wt: 1:   Ages 12 to 14 Geometry
  565.    wt: 1:   Ages 10 to 12 Geometry
  566.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  567.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  568.    wt: 1:   23 Inverse Functions
  569.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  570.    wt: 1:   19 Horizontal line rule and method
  571.    wt: 1:   18 Vertical Line Rule and Method
  572.    wt: 1:   17 Function maxima minima and their location
  573.    wt: 1:   14 Surjections Injections Bijections
  574.    wt: 1:   12 Function Domain Recognition Exercises
  575.    wt: 1:   11 Function Domain Range Source and Targets
  576.    wt: 1:   10 Interval Notation
  577.    wt: 1:   4 Function notation in and beyond mathematics
  578.    wt: 1:   3 Formula or function graphing exercise
  579.    wt: 1:   1 Geometric Introduction of Function Notation
  580.    wt: 1:   5 quadratics completing the square
  581.    wt: 1:   1 quadratics graphing exercises
  582.    wt: 1:   Quadratics in 10 steps
  583.    wt: 1:   11 Growth and Decay in Biology
  584.    wt: 1:   8 Notes for instructors or tutors
  585.    wt: 1:   7 Links Lessons Elsewhere
  586.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  587.    wt: 1:   4 Polynomials Long division linear divisor
  588.    wt: 1:   3 Polynomials Multiplication Addition
  589.    wt: 1:   2 Column Multiplication Method
  590.    wt: 1:   Rewriting algebraic substitution as function substitutions
  591.    wt: 1:   A Signed Number Arithmetic Review
  592.    wt: 1:   26 More Less Greater Than Comparison
  593.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  594.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  595.    wt: 1:   23 Distributive Law Two Derivations
  596.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  597.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  598.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  599.    wt: 1:   11 Signed Number Addition and Addition Properties
  600.    wt: 1:   8 Division and Mulplication of Compound Fractions
  601.    wt: 1:   5 Areas of Rectangles Revisited
  602.    wt: 1:   4 Fraction Operations Axiomatic Development
  603.    wt: 1:   2 Fraction Operations Physical Development
  604.    wt: 1:   5 Proportionality in Equivalent Fractions
  605.    wt: 1:   2 Algebraic View
  606.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  607.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  608.    wt: 1:   5 Triangle Area Formula Backwards
  609.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  610.    wt: 1:   5 Equality in Algebra
  611.    wt: 1:   2 Addition and Multiplication Axioms
  612.    wt: 1:   4 Comparison of Negative Numbers
  613.    wt: 1:   3 More and Less Than with Unlike Signs
  614.    wt: 1:   2 More and Less Than for Counts and Measures
  615.    wt: 1:   1 Real Numbers Comparison
  616.    wt: 1:   14 Real Number Multiplication
  617.    wt: 1:   12 Real Number Additive Inverses or Negatives
  618.    wt: 1:   2 Integers
  619.    wt: 1:   5 Independent versus Dependent Variables
  620.    wt: 1:   4 Changing Letters
  621.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  622.    wt: 1:   8 Compound Interest Formula Evaluation
  623.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  624.    wt: 1:   8 Sets of Numbers
  625.    wt: 1:   7 Cautious or Safe Set Construction
  626.    wt: 1:   6 Power Set Notation
  627.    wt: 1:   5 Product Builder Notation
  628.    wt: 1:   4 Subset Builder Notation
  629.    wt: 1:   2 Venn Diagrams
  630.    wt: 1:   5 Talking about Numbers and Quantities
  631.    wt: 1:   3 Adding Words To Arithmetic
  632.    wt: 1:   arithmetic videos Real Player Format
  633.    wt: 1:   3 Comparison of Negative Numbers
  634.    wt: 1:   1 More and Less Than for Counts and Measures
  635.    wt: 1:   5 Square Roots with primes more still
  636.    wt: 1:   4 Square Roots with primes more
  637.    wt: 1:   3 Properties of Square Roots with example
  638.    wt: 1:   2 Square Roots with Prime
  639.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  640.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  641.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  642.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  643.    wt: 1:   13 GCD from given Prime Factorization
  644.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  645.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  646.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  647.    wt: 1:   7 GCD and LCM from prime factorization
  648.    wt: 1:   6 GCD from Prime
  649.    wt: 1:   5 Common Divisors 60 45 via Prime
  650.    wt: 1:   4 LCM of 8 and 10 via Prime
  651.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  652.    wt: 1:   12 GCD 2700 288 via Prime
  653.    wt: 1:   11 What are real lengths and numbers
  654.    wt: 1:   5 lengths and signs of numbers
  655.    wt: 1:   6 Simplification of Fractions with Units
  656.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  657.    wt: 1:   4 Fractions with Units
  658.    wt: 1:   2 Equality and Units
  659.    wt: 1:   1 Addition and Subtraction with Units
  660.    wt: 1:   D Three Term Ratios
  661.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  662.    wt: 1:   B Fractions and Two Term Ratios
  663.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  664.    wt: 1:   22 Complex Compound Fractions
  665.    wt: 1:   21 Reciprocals for Fractions and Wholes
  666.    wt: 1:   18 Efficient Ways to Multiply
  667.    wt: 1:   17 Efficient Ways to Add and Subtract
  668.    wt: 1:   16 Addition Subtraction Comparision Compared
  669.    wt: 1:   13 Fraction Comparison Algebraic View
  670.    wt: 1:   12 Fraction Comparison
  671.    wt: 1:   11 Simplification an Algebraic View
  672.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  673.    wt: 1:   9 Improper Fractions and Mixed Numbers
  674.    wt: 1:   8 Numerals Fractionals Quantals Take II
  675.    wt: 1:   7 Numerals Fractionals Quantals
  676.    wt: 1:   5 Equivalent Fractions
  677.    wt: 1:   3 Unit fraction of a fraction
  678.    wt: 1:   1 What is a fraction Take II
  679.    wt: 1:   1 What is a fraction
  680.    wt: 1:   20 Uniqueness of Prime Factorization
  681.    wt: 1:   19 video Prime Factorization Unique
  682.    wt: 1:   18 video Count Factors given Prime Factorization
  683.    wt: 1:   14 video Factors of 24 Take II
  684.    wt: 1:   11 Efficient Square Rule Use
  685.    wt: 1:   10 video Prime Factorization upto 23 squared
  686.    wt: 1:   9 video Prime Factorization upto 19 squared
  687.    wt: 1:   8 video Prime Factorization upto 19
  688.    wt: 1:   7 Calculator Usage Notes and Cautions
  689.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  690.    wt: 1:   5 Prime Factorization and a Square Rule
  691.    wt: 1:   3 video Primes and Composites from 9 times table
  692.    wt: 1:   1 video how Products are bigger than factor
  693.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  694.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  695.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  696.    wt: 1:   Quick history of numbers and algebra
  697.    wt: 1:   Exact Arithmetic Wholes and Fractions
  698.    wt: 1:   Formula Evaluation how to show work
  699.    wt: 1:   Expression Evaluation how to show work
  700.    wt: 1:   The 20 Times Table
  701.    wt: 1:   The 12 Times Table Visually
  702.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  703.    wt: 1:   About folder contents
  704.    wt: 1:   016 Numbering Occidental Calendar Days
  705.    wt: 1:   015 School and work day counting tables
  706.    wt: 1:   014 Counting Days with Calendars
  707.    wt: 1:   011 Division of Time Intervals By Numbers
  708.    wt: 1:   010 Repeated Addition of Time Intervals
  709.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  710.    wt: 1:   7 Addition of Time Intervals
  711.    wt: 1:   2 Time and Date Matters in School
  712.    wt: 1:   1 Intro of Kids To Time Date Skills
  713.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  714.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  715.    wt: 1:   5 Area Under Curve Exercise
  716.    wt: 1:   4 Second derivative test exercise example
  717.    wt: 1:   3 Second derivative test
  718.    wt: 1:   2 Second derivative test prequel
  719.    wt: 1:   38 Formulas and derivatives for powers and roots
  720.    wt: 1:   36 Cube root derivative animated
  721.    wt: 1:   34 Derivative of exponential function
  722.    wt: 1:   12 Quotient rule examples
  723.    wt: 1:   11 Quotient rule
  724.    wt: 1:   9 Reciprocal rule
  725.    wt: 1:   8 Differentiation of polynomials
  726.    wt: 1:   7 Animated Differentiation Examples
  727.    wt: 1:   6 Power rule from product rule
  728.    wt: 1:   5 Product Rule
  729.    wt: 1:   4 Sum Rule
  730.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  731.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  732.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  733.    wt: 1:   8 Four Animated Examples
  734.    wt: 1:   7 Evaluation by immediate or delayed substitution
  735.    wt: 1:   5 Jumps and absence of unlimited error control
  736.    wt: 1:   4 Numerical properties
  737.    wt: 1:   2 Algebraic codification
  738.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  739.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  740.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  741.    wt: 1:   F.5a Equicontinuity Theorems
  742.    wt: 1:   F.3 Intermediate Value Theorem
  743.    wt: 1:   F.1 What Functions are Continuous
  744.    wt: 1:   E1 Error Control Inequalities
  745.    wt: 1:   C Triangle Inequalities
  746.    wt: 1:   PostScript For and Against Decimal Perspectives
  747.    wt: 1:   A1. Introduction
  748.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  749.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  750.    wt: 1:   Chapter 22 Complex Numbers
  751.    wt: 1:   Chapter 21 Arrow Addition
  752.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  753.    wt: 1:   Chapter 17. Area Approximation
  754.    wt: 1:   Chapter 16. Velocity Approximation
  755.    wt: 1:   Chapter 15. Slope Approximation
  756.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  757.    wt: 1:   Chapter 13. Acceleration
  758.    wt: 1:   Chapter 12. Units and Slopes
  759.    wt: 1:   Chapter 10 Slopes and Units
  760.    wt: 1:   Chapter 7 Slopes and Velocity
  761.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  762.    wt: 1:   Chapter 5. Slope Sign Tests
  763.    wt: 1:   Chapter 4. More Slope Sign Analysis
  764.    wt: 1:   Chapter 3. Slope Sign Analysis
  765.    wt: 1:   Chapter 2. Slopes and Ski Trails
  766.    wt: 1:   Fall 1983 Calculus Appetizer
  767.    wt: 1:   Foreword
  768.    wt: 1:   Appendix D. What to do in School and Why
  769.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  770.    wt: 1:   Chapter 31 Direct and Indirect Reason
  771.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  772.    wt: 1:   Chapter 25. Mathematical Induction Examples
  773.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  774.    wt: 1:   Chapter 21. Third Reading Guide
  775.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  776.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  777.    wt: 1:   Chapter 13. Second Reading Guide
  778.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  779.    wt: 1:   Chapter 4 Longer Chains of Reason
  780.    wt: 1:   Chapter 3 Chains of Reason
  781.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  782.    wt: 1:   Annotated Links to Material Elsehwere
  783.    wt: 1:   Chapter 11 Elementary Instruction
  784.    wt: 1:   Chapter 8 Modern Instruction
  785.    wt: 1:   Chapter 7 Two Treatments of Geometry
  786.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  787.    wt: 1:   Chapter 2 For and Against Mathematics
  788.    wt: 1:   Chapter 1 Introduction
  789.    wt: 1:   Postscript B More on Story Telling and Reason
  790.    wt: 1:   Postscript A Story Telling
  791.    wt: 1:   Chapter 24 Direct and Indirect Reason
  792.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  793.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  794.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  795.    wt: 1:   Chapter 7 Longer Chains of Reason
  796.    wt: 1:   Chapter 6 Chains of Reason
  797.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  798.    wt: 1:   Chapter 1 Introduction
  799.    wt: 1:   S Adding words to algebra
  800.    wt: 1:   O On Learning Mathematics and Science
  801.    wt: 1:   J. More on written work and showing skill
  802.    wt: 1:   H Jigsaw puzzles and problem solving
  803.    wt: 1:   B. Domino effect of errors
  804.    wt: 1:   Chapter 6 More Algebra and Geometry
  805.    wt: 1:   7 Games and Activities for Instruction
  806.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  807.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  808.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  809.    wt: 14:   Euclidean Geometry Elsewhere LINKS
  810.    wt: 13:   PS E Multiplication with Polar Coordinates
  811.    wt: 13:   PS C Similarity Use Recognize it in Trigonometry
  812.    wt: 13:   10 Dropping a perpendicular to line
  813.    wt: 13:   Short Course on Euclidean Geometry
  814.    wt: 12:   PS F Scalar Multiplication Distributes over Addition
  815.    wt: 12:   PS D Addition with Cartesian Coordinates
  816.    wt: 12:   14 Parallel Lines Postulate
  817.    wt: 12:   2 Correspondence between Triangles
  818.    wt: 12:   1 Initial Concepts and Terms
  819.    wt: 11:   Straight Lines Instersection Solving Equations
  820.    wt: 11:   PS H Distributive Law For Complex Numbers
  821.    wt: 11:   PS G Rotation Distributes over Addition
  822.    wt: 11:   PS B Parallelogram Construction Methods
  823.    wt: 11:   PS A Kite Construction Methods
  824.    wt: 11:   21 Parallelograms
  825.    wt: 11:   19 Right Triangle Similarity
  826.    wt: 11:   18 Triangle Similarity Take 1
  827.    wt: 11:   17 Right Bisectors of Triangle Sides
  828.    wt: 11:   16 Angles Subtended By Chords and Diameters
  829.    wt: 11:   15 Triangle Angle Sum is 180 degrees
  830.    wt: 11:   13 Angle Side Angle Failure
  831.    wt: 11:   12 Side Angle Side Failure
  832.    wt: 11:   11 Triangle Construction Fails
  833.    wt: 11:   9 Construction of a right bisector
  834.    wt: 11:   8 Isoceles Triangles
  835.    wt: 11:   7 Angle Side Angle
  836.    wt: 11:   6 Ruler and compass Angle Bisection
  837.    wt: 11:   5 Side Angle Side
  838.    wt: 11:   4 Side Side Side
  839.    wt: 11:   3 Isometry of Triangles Congruence
  840.    wt: 10:   7 arcsin left inverse of sine Definition
  841.    wt: 10:   Analytic View of Triangle Construction or Line Instersection More
  842.    wt: 10:   Straight Lines ASA Intersection Study More
  843.    wt: 10:   Straight Lines ASA Intersection Study
  844.    wt: 10:   Straight Lines Intersection of
  845.    wt: 10:   13 Straight Lines Finding Equations from 2 points
  846.    wt: 10:   6 Intersection of lines by solving linear systems

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

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

Arithmetic and Number Theory Skills

Algebra Starter Lessons

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


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

Geometry - maps plans trigonometry vectors

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

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

More Algebra

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

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

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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

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

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

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

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