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:   15 Arc or Inverse Trigonometric Function/
  3.    wt: 7:   12 Function Translating and Rescaling/
  4.    wt: 7:   1 Maps Plans Measurement/
  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:   5 What is Similarity/
  11.    wt: 6:   4 Lines and Slopes Take 1/
  12.    wt: 6:   3 Cartesian and Polar Coordinates/
  13.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  14.    wt: 5:   7 Complex Numbers/
  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: 2:   Step 2 Algebraic solutions for one unknown/
  22.    wt: 2:   Step 1 Stick diagram and fractions/
  23.    wt: 2:   3 Solving Linear Equations/
  24.    wt: 2:   9 Combinatorics Trees Tables and Products/
  25.    wt: 2:   5 Integers/
  26.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 2:   D Decimal Long Division Methods/
  28.    wt: 2:   C Decimal Multiplication 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/

Web Page Search

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

Extended Search

841 matches:

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