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: 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/

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

Extended Search

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