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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  1.    wt: 6:   Volume 1B Mathematics Curriculum Notes/
  2.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  3.    wt: 1:   LAMP Lean Applied Mathematics Program/
  4.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  5.    wt: 1:   Mathematics Education Essays/
  6.    wt: 1:   Volume 1A Regles et modeles/
  7.    wt: 1:   Mathematics Skills Year by Year/
  8.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  9.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  10.    wt: 1:   13 Vectors/
  11.    wt: 1:   12 Function Translating and Rescaling/
  12.    wt: 1:   11 Parallel Straight Lines and Transversals/
  13.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  14.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  15.    wt: 1:   8 Unit Circle Trigonometry/
  16.    wt: 1:   7 Complex Numbers/
  17.    wt: 1:   6 Trigonometry first steps/
  18.    wt: 1:   5 What is Similarity/
  19.    wt: 1:   4 Lines and Slopes Take 1/
  20.    wt: 1:   3 Cartesian and Polar Coordinates/
  21.    wt: 1:   1 Maps Plans Measurement/
  22.    wt: 1:   Geometry maps plans trigonometry vectors/
  23.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  24.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  25.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  26.    wt: 1:   Volume 2 Three Skills For Algebra/
  27.    wt: 1:   Volume 1A Pattern Based Reason/
  28.    wt: 1:   Volume 1 Elements of Reason/
  29.    wt: 1:   Mathematics 506 Lessons/
  30.    wt: 1:   Secondary Mathematics A Practical Approach/
  31.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  32.    wt: 1:   Mathematics Skill Development Framework/

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71 matches:

  1.    wt: 2:   mathematics curriculum shifts
  2.    wt: 2:   04 29 New Mathematics Curriculum
  3.    wt: 2:   need for a mixed mathematics curriculum
  4.    wt: 2:   Leaner mathematics curriculum
  5.    wt: 1:   E LAMP Introduction Modern Mathematics
  6.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  7.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  8.    wt: 1:   Skills Chapter 2 Geometry
  9.    wt: 1:   11 pure mathematics
  10.    wt: 1:   8 analytic geometry etc
  11.    wt: 1:   3 Euclidean Geometry Leanly
  12.    wt: 1:   key notes and themes
  13.    wt: 1:   Mathematics Education Professors
  14.    wt: 1:   mathematics in context
  15.    wt: 1:   Secondary Three Mathematics
  16.    wt: 1:   Secondary Two Mathematics
  17.    wt: 1:   Secondary One Mathematics
  18.    wt: 1:   three goals for Mathematics Education
  19.    wt: 1:   02 20 mathematics education references
  20.    wt: 1:   three aims for mathematics students
  21.    wt: 1:   mathematics instruction in general
  22.    wt: 1:   Education in mathematics science and technology
  23.    wt: 1:   three kinds of reason in mathematics
  24.    wt: 1:   words for mathematics instructor
  25.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  26.    wt: 1:   22 Student Centered Highschool Mathematics
  27.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  28.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  29.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  30.    wt: 1:   18 Primary School Mathematics
  31.    wt: 1:   16 Secondary Mathematics Tips
  32.    wt: 1:   12 Goals and Objectives For Mathematics
  33.    wt: 1:   Ages 12 to 14 Geometry
  34.    wt: 1:   Ages 10 to 12 Geometry
  35.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  36.    wt: 1:   4 Function notation in and beyond mathematics
  37.    wt: 1:   8 Notes for instructors or tutors
  38.    wt: 1:   12 From Applied To Pure Mathematics
  39.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  40.    wt: 1:   Short Course on Euclidean Geometry
  41.    wt: 1:   Skill Development Notes
  42.    wt: 1:   11 Volume of Sphere
  43.    wt: 1:   10 Volume of Pyramid
  44.    wt: 1:   9 Volume of Cone
  45.    wt: 1:   5 Box Volume Formula Example
  46.    wt: 1:   7 Calculator Usage Notes and Cautions
  47.    wt: 1:   Example 2 volume of a cone
  48.    wt: 1:   Example 1 volume of a pyramid
  49.    wt: 1:   Volume of Solid by Cross Sections Lesson
  50.    wt: 1:   A Related Material in Volume 3
  51.    wt: 1:   A Related lessons in Volume 3
  52.    wt: 1:   Appendix E. How To Study Mathematics and Why
  53.    wt: 1:   Postscript B Mathematics Education References
  54.    wt: 1:   Chapter 7 Two Treatments of Geometry
  55.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  56.    wt: 1:   Chapter 2 For and Against Mathematics
  57.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  58.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  59.    wt: 1:   R Why Learn Mathematics Skills
  60.    wt: 1:   O On Learning Mathematics and Science
  61.    wt: 1:   N Mathematics Prepare for College Studies
  62.    wt: 1:   Chapter 6 More Algebra and Geometry
  63.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  64.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  65.    wt: 1:   Helping the Blind in Logic and Mathematics
  66.    wt: 1:   Mathematics Education References
  67.    wt: 1:   Mathematics Education References
  68.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  69.    wt: 1:   Implementation Notes
  70.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  71.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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568 matches:

  1.    wt: 7:   Postscript B Mathematics Education References
  2.    wt: 7:   Chapter 7 Two Treatments of Geometry
  3.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
  4.    wt: 7:   Chapter 2 For and Against Mathematics
  5.    wt: 6:   Annotated Links to Material Elsehwere
  6.    wt: 6:   Postscript A Three Remarks
  7.    wt: 6:   Chapter 12 Four Phases
  8.    wt: 6:   Chapter 11 Elementary Instruction
  9.    wt: 6:   Chapter 10 Transition
  10.    wt: 6:   Chapter 9 The Two Ends
  11.    wt: 6:   Chapter 8 Modern Instruction
  12.    wt: 6:   Chapter 5 Four References
  13.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
  14.    wt: 6:   Chapter 3 Algebra Difficulties
  15.    wt: 6:   Chapter 1 Introduction
  16.    wt: 6:   Foreword
  17.    wt: 3:   mathematics curriculum shifts
  18.    wt: 3:   04 29 New Mathematics Curriculum
  19.    wt: 3:   need for a mixed mathematics curriculum
  20.    wt: 3:   Leaner mathematics curriculum
  21.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  22.    wt: 3:   Short Course on Euclidean Geometry
  23.    wt: 2:   E LAMP Introduction Modern Mathematics
  24.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  25.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  26.    wt: 2:   Skills Chapter 2 Geometry
  27.    wt: 2:   11 pure mathematics
  28.    wt: 2:   8 analytic geometry etc
  29.    wt: 2:   3 Euclidean Geometry Leanly
  30.    wt: 2:   key notes and themes
  31.    wt: 2:   Mathematics Education Professors
  32.    wt: 2:   mathematics in context
  33.    wt: 2:   Secondary Three Mathematics
  34.    wt: 2:   Secondary Two Mathematics
  35.    wt: 2:   Secondary One Mathematics
  36.    wt: 2:   three goals for Mathematics Education
  37.    wt: 2:   02 20 mathematics education references
  38.    wt: 2:   three aims for mathematics students
  39.    wt: 2:   mathematics instruction in general
  40.    wt: 2:   Education in mathematics science and technology
  41.    wt: 2:   three kinds of reason in mathematics
  42.    wt: 2:   words for mathematics instructor
  43.    wt: 2:   Ages 12 to 14 Geometry
  44.    wt: 2:   Ages 10 to 12 Geometry
  45.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  46.    wt: 2:   12 From Applied To Pure Mathematics
  47.    wt: 2:   PS H Distributive Law For Complex Numbers
  48.    wt: 2:   PS G Rotation Distributes over Addition
  49.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  50.    wt: 2:   PS E Multiplication with Polar Coordinates
  51.    wt: 2:   PS D Addition with Cartesian Coordinates
  52.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  53.    wt: 2:   PS B Parallelogram Construction Methods
  54.    wt: 2:   PS A Kite Construction Methods
  55.    wt: 2:   21 Parallelograms
  56.    wt: 2:   19 Right Triangle Similarity
  57.    wt: 2:   18 Triangle Similarity Take 1
  58.    wt: 2:   17 Right Bisectors of Triangle Sides
  59.    wt: 2:   16 Angles Subtended By Chords and Diameters
  60.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  61.    wt: 2:   14 Parallel Lines Postulate
  62.    wt: 2:   13 Angle Side Angle Failure
  63.    wt: 2:   12 Side Angle Side Failure
  64.    wt: 2:   11 Triangle Construction Fails
  65.    wt: 2:   10 Dropping a perpendicular to line
  66.    wt: 2:   9 Construction of a right bisector
  67.    wt: 2:   8 Isoceles Triangles
  68.    wt: 2:   7 Angle Side Angle
  69.    wt: 2:   6 Ruler and compass Angle Bisection
  70.    wt: 2:   5 Side Angle Side
  71.    wt: 2:   4 Side Side Side
  72.    wt: 2:   3 Isometry of Triangles Congruence
  73.    wt: 2:   2 Correspondence between Triangles
  74.    wt: 2:   1 Initial Concepts and Terms
  75.    wt: 2:   Example 2 volume of a cone
  76.    wt: 2:   Example 1 volume of a pyramid
  77.    wt: 2:   Volume of Solid by Cross Sections Lesson
  78.    wt: 2:   Appendix E. How To Study Mathematics and Why
  79.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  80.    wt: 2:   Chapter 6 More Algebra and Geometry
  81.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  82.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  83.    wt: 2:   Helping the Blind in Logic and Mathematics
  84.    wt: 2:   Mathematics Education References
  85.    wt: 2:   Mathematics Education References
  86.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  87.    wt: 2:   Implementation Notes
  88.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  89.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  90.    wt: 1:   Appendix 2 primary school Arithmetic 01
  91.    wt: 1:   Appendix 1 primary and preschool mathematic
  92.    wt: 1:   K LAMP Musings Science Education
  93.    wt: 1:   J LAMP Introduction Extrinsic Origins
  94.    wt: 1:   I LAMP Introduction Study Habits
  95.    wt: 1:   H LAMP Introduction Instructional Concepts
  96.    wt: 1:   G LAMP Introduction Problem Solving Skills
  97.    wt: 1:   F LAMP Introduction Prerequisites
  98.    wt: 1:   A Introduction Objectives
  99.    wt: 1:   Skills Chapter 5 Calculus
  100.    wt: 1:   Skills Chapter 4 Logic
  101.    wt: 1:   Ramblings Extrinsic numbers theory
  102.    wt: 1:   Ramblings Introduction Algebra Essay
  103.    wt: 1:   Skills Chapter 3 Algebra
  104.    wt: 1:   Skills Chapter 1 Arithmetic
  105.    wt: 1:   Skills Chapter 0 Introduction
  106.    wt: 1:   10 statistics
  107.    wt: 1:   9 combinatorics probability sets
  108.    wt: 1:   7 logic review and decimals an odd combination
  109.    wt: 1:   6 polynomials etc
  110.    wt: 1:   5 logarithms and exponentials etc
  111.    wt: 1:   4 algebra
  112.    wt: 1:   2 arithmetic with signed numbers
  113.    wt: 1:   1 arithmetic with unsigned numbers
  114.    wt: 1:   What is POMME
  115.    wt: 1:   why bother
  116.    wt: 1:   which way to go
  117.    wt: 1:   website reviews
  118.    wt: 1:   three goals to set for students
  119.    wt: 1:   Teach the teachers plus goals
  120.    wt: 1:   permissions for teachers
  121.    wt: 1:   Math Ed if it must be short make it lean effective
  122.    wt: 1:   Applied Maths Program14092009 POMME variant
  123.    wt: 1:   activities for students
  124.    wt: 1:   links Education Resources online
  125.    wt: 1:   site origins
  126.    wt: 1:   site eurekas
  127.    wt: 1:   About site lesson plans
  128.    wt: 1:   teacher certification
  129.    wt: 1:   modern education
  130.    wt: 1:   learning takes time
  131.    wt: 1:   grouping students according to ability
  132.    wt: 1:   what should be learnt and When
  133.    wt: 1:   Postscript 2007 01 10
  134.    wt: 1:   Education Reform Inconsistencies
  135.    wt: 1:   five decades make a difference
  136.    wt: 1:   Maps Plans Drawings
  137.    wt: 1:   how letters appear
  138.    wt: 1:   talk the algebra talk
  139.    wt: 1:   three difficulties
  140.    wt: 1:   teaching tips
  141.    wt: 1:   What to Tell Students
  142.    wt: 1:   geometric implications for algebra
  143.    wt: 1:   teaching tutoring algebraic reason
  144.    wt: 1:   Lessening Algebra Difficulties
  145.    wt: 1:   the trouble with algebra
  146.    wt: 1:   05 13 OldSiteEntrancePage
  147.    wt: 1:   04 25 when to stop or suspend mathemat
  148.    wt: 1:   02 21 words for teachers
  149.    wt: 1:   standards for course material
  150.    wt: 1:   Operational Viewpoint to Value
  151.    wt: 1:   formal or informal peer review
  152.    wt: 1:   Theory of Knowledge
  153.    wt: 1:   Different Kinds of Reasoning in maths
  154.    wt: 1:   cultivating intelligence
  155.    wt: 1:   Four ways to improve education reform
  156.    wt: 1:   How to be a better instructor
  157.    wt: 1:   Motivation and Context Problem
  158.    wt: 1:   Prequel In For A Penny In For A Pound
  159.    wt: 1:   education an empirical art
  160.    wt: 1:   fairness and inductive principles for instruction
  161.    wt: 1:   chapitre 12 00 les iles et division
  162.    wt: 1:   chapitre 07 01 principle D induction mathematique
  163.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  164.    wt: 1:   chapitre 06 00 Chaines de la raison
  165.    wt: 1:   chapitre 05 00 Deception
  166.    wt: 1:   chapitre 04 10 Etapes pour une meilleur raison
  167.    wt: 1:   chapitre 04 09 Regles accidentelles
  168.    wt: 1:   chapitre 04 08 Limitations et benefices
  169.    wt: 1:   chapitre 04 07 RepetablesEtReproductibles
  170.    wt: 1:   chapitre 04 06 engagements
  171.    wt: 1:   chapitre 04 05 Implication versus suggestion
  172.    wt: 1:   chapitre 04 04 Parlons de la logique
  173.    wt: 1:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  174.    wt: 1:   chapitre 04 02 Deuxieme enigme
  175.    wt: 1:   chapitre 04 01 Premiere enigme
  176.    wt: 1:   chapitre 04 00 Les regles d implication
  177.    wt: 1:   chapitre 03 A Propos Des Prochains Chapitre
  178.    wt: 1:   chapitre 02 00 La Communication des idees
  179.    wt: 1:   chapitre 01 00 Introduction
  180.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  181.    wt: 1:   22 Student Centered Highschool Mathematics
  182.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  183.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  184.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  185.    wt: 1:   18 Primary School Mathematics
  186.    wt: 1:   16 Secondary Mathematics Tips
  187.    wt: 1:   12 Goals and Objectives For Mathematics
  188.    wt: 1:   Ages 12 to 14 Skills with take home value
  189.    wt: 1:   Ages 12 to 14 Arithmetic
  190.    wt: 1:   Ages 10 to 12 Arithmetic
  191.    wt: 1:   Ages 9 to 10
  192.    wt: 1:   Ages 8 to 9
  193.    wt: 1:   Ages 7 to 8
  194.    wt: 1:   Ages 6 to 7
  195.    wt: 1:   Ages 4 plus to 5 plus
  196.    wt: 1:   Ages 3 plus to 4 plus
  197.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  198.    wt: 1:   4 Function notation in and beyond mathematics
  199.    wt: 1:   8 Notes for instructors or tutors
  200.    wt: 1:   16 cotangent function Definition Graph and Inverse
  201.    wt: 1:   15 cosecant function Definition Graph and Inverse
  202.    wt: 1:   14 secant function Definition Graph and Inverse
  203.    wt: 1:   13 cosecant function Definition Graph and Inverse
  204.    wt: 1:   12 motivation for term arctan
  205.    wt: 1:   11 arctan left inverse of tangent Graph
  206.    wt: 1:   10 arctan left inverse of tangent Definition
  207.    wt: 1:   9 motivation for name arcsin
  208.    wt: 1:   8 arcsin left inverse of sine Graph
  209.    wt: 1:   7 arcsin left inverse of sine Definition
  210.    wt: 1:   6 Graph of arccos function
  211.    wt: 1:   5 Swapping Coordinates is a reflection
  212.    wt: 1:   4 possible motivation for term arccos
  213.    wt: 1:   3 Left Inverse of cosine arccos definition
  214.    wt: 1:   2 cosine function more properties
  215.    wt: 1:   1 cosine function properties
  216.    wt: 1:   9 Summary Degrees to Radians and back
  217.    wt: 1:   8 Radian Measures of Common Angles
  218.    wt: 1:   7 Radian Measures in special Triangles
  219.    wt: 1:   6 Radian Measure to Degrees
  220.    wt: 1:   5 Degrees to Radian Measure
  221.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  222.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  223.    wt: 1:   2 Radian Measure Numerical Value of one degree
  224.    wt: 1:   1 Degrees and Radians Introduction
  225.    wt: 1:   A Global Time and Navigation
  226.    wt: 1:   15 Dot and Cross Product
  227.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  228.    wt: 1:   13 Velocity Vectors in Physics
  229.    wt: 1:   11 Component Method
  230.    wt: 1:   10 Parallelogram Addition Method
  231.    wt: 1:   9 Head to Tail Coordinate View
  232.    wt: 1:   8 Parallel Vectors
  233.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  234.    wt: 1:   6 Vectors with Coordinates
  235.    wt: 1:   5 Head To Tail Arrow Addition
  236.    wt: 1:   4 Resultant of a Sum of Movements
  237.    wt: 1:   3 Navigation with Arrows or Vectors
  238.    wt: 1:   2 Signed Coordinates
  239.    wt: 1:   1 Unsigned Coordinates
  240.    wt: 1:   Vector and Complex Number Applet
  241.    wt: 1:   4 graphing y=Asin(x c)
  242.    wt: 1:   3 graphing y=f(x c) plus K
  243.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  244.    wt: 1:   1 graphing y=f(x a)
  245.    wt: 1:   Parallel Lines and Parallel Transversals
  246.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  247.    wt: 1:   Triangle Angles Sum To 180 Degrees
  248.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  249.    wt: 1:   Parallel Lines and Interior Angles
  250.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  251.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  252.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  253.    wt: 1:   Straight Lines ASA Intersection Study More
  254.    wt: 1:   Straight Lines ASA Intersection Study
  255.    wt: 1:   Straight Lines Instersection Solving Equations
  256.    wt: 1:   Straight Lines Intersection of
  257.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  258.    wt: 1:   C Straight Lines Slope from Coordinates
  259.    wt: 1:   B Straight Line Slope Scaling Properties More
  260.    wt: 1:   A Straight Line Slope Scaling Properties
  261.    wt: 1:   14 Straight Lines Equations General Case
  262.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  263.    wt: 1:   12 Straight Lines Graphing mx plus b
  264.    wt: 1:   11 Straight Lines Graphing y=mx
  265.    wt: 1:   10 Straight Lines through Origin Equations More
  266.    wt: 1:   9 Straight Lines through Origin Equations
  267.    wt: 1:   8 Straight Lines Equation for vertical
  268.    wt: 1:   7 Tangent Function is odd on this domain
  269.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  270.    wt: 1:   5 Tangent Function Graph
  271.    wt: 1:   4 Tangent Function Properties
  272.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  273.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  274.    wt: 1:   1 Straight Lines Slope Concept
  275.    wt: 1:   17 tangent function angle sum formulas
  276.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  277.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  278.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  279.    wt: 1:   32 seven rows of pascals triangle
  280.    wt: 1:   31 basic secant cosecant cotangent trig identities
  281.    wt: 1:   30 unit circle calculation of six trigonometric functions
  282.    wt: 1:   29 secant cosecant and cotangent for acute angles
  283.    wt: 1:   28 Expressing products of sines cosines as sums
  284.    wt: 1:   27 Logarithmic use of products of sines and cosines
  285.    wt: 1:   26 Formulas for products of sines and cosines
  286.    wt: 1:   25 tangent double angle formula Slope connection
  287.    wt: 1:   24 tangent Angle Difference Formula
  288.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  289.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  290.    wt: 1:   21 sine and cosine Half Angle Formulas
  291.    wt: 1:   20 sine and cosine Double Angle Formulas
  292.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  293.    wt: 1:   18 sum of sinusoidal waves as a single wave
  294.    wt: 1:   17G Pythagorean Theorem Converse
  295.    wt: 1:   17F Law of cosines
  296.    wt: 1:   17E Trig Formulas for dot and cross Products
  297.    wt: 1:   17D cis formulas for sine cosines and tangent
  298.    wt: 1:   17C sine and cosine double triple angle formulas
  299.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  300.    wt: 1:   17A The complex number valued trig function cis
  301.    wt: 1:   16 Right Triangle Complementary Angle Relations
  302.    wt: 1:   15 sine cosine Complementary Angle Relations
  303.    wt: 1:   14 cosine even and sine and tangent are odd
  304.    wt: 1:   13 Graph of tangent function many periods
  305.    wt: 1:   12 Graph of tangent function for one period
  306.    wt: 1:   11 tangent function undefined when terminal side vertical
  307.    wt: 1:   10 Graphs of sines and cosines many periods
  308.    wt: 1:   9 Graphs of sine and cosine over one period
  309.    wt: 1:   8 period of tangent function
  310.    wt: 1:   7 period of sine and cosine
  311.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  312.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  313.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  314.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  315.    wt: 1:   2 Quadrant I reference Angles
  316.    wt: 1:   1 Unit Points Reflections Rotations
  317.    wt: 1:   Unit Circle Development of Trigonometry
  318.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  319.    wt: 1:   21 Logarithms Powers and Exponentials
  320.    wt: 1:   20 N th Roots of Complex Numbers
  321.    wt: 1:   19 N th Roots of Unity
  322.    wt: 1:   18 Sixth Roots of Unity
  323.    wt: 1:   17 Cube Roots of unity
  324.    wt: 1:   16 References and Originality Question
  325.    wt: 1:   15 Pythagorean Theorem Converse
  326.    wt: 1:   14 Law of cosines
  327.    wt: 1:   13 Trig Formulas for dot and cross Products
  328.    wt: 1:   12 cis formulas for sine cosines and tangent
  329.    wt: 1:   11 sine and cosine double triple angle formulas
  330.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  331.    wt: 1:   9 The complex number valued trig function cis
  332.    wt: 1:   8 Unit Circle Development of Trigonometry
  333.    wt: 1:   7 Second Way to Calculate Products
  334.    wt: 1:   6 Field Properties of Complex Number
  335.    wt: 1:   5 An Easy Proof of the Distributive Law
  336.    wt: 1:   4 Multiplication Properties
  337.    wt: 1:   3 Addition Properties
  338.    wt: 1:   2 Complex Numbers made easier we hope
  339.    wt: 1:   1 Rectangular Polar Coordinates Review
  340.    wt: 1:   Appetizer A Complex Number Applet
  341.    wt: 1:   8 Triangles Cascade Problem Solving
  342.    wt: 1:   7 Trignometric Ratios Unit Circle
  343.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  344.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  345.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  346.    wt: 1:   3 Trigonometric Ratios sine and cosine
  347.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  348.    wt: 1:   1 Angle Measurement with Degrees
  349.    wt: 1:   Why Trigonometry the whyslopes view
  350.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  351.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  352.    wt: 1:   12 Triangles Similarity More Problems
  353.    wt: 1:   11 Triangle Similarity Missing Side Problem
  354.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  355.    wt: 1:   9 Similarity of Triangles Usual Criteria
  356.    wt: 1:   8 Similarity of Triangles and Polygons
  357.    wt: 1:   7 Translations Rotations Reflections Dilatations
  358.    wt: 1:   6 Geometric Diagrams in Class
  359.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  360.    wt: 1:   4 Similarity Definition with Coordinate
  361.    wt: 1:   3 Similarity by Design with coordinates
  362.    wt: 1:   2 Similarity By Design
  363.    wt: 1:   1 Early Concept of Like or Similar Shapes
  364.    wt: 1:   Four Simple Exercises
  365.    wt: 1:   12 Links Lessons elsewhere
  366.    wt: 1:   11 A Partial Summary
  367.    wt: 1:   10 Midpoint of [a b] and [b a]
  368.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  369.    wt: 1:   8 Mid Point Formula
  370.    wt: 1:   7 Exercises to test skill and concept mastery
  371.    wt: 1:   6 Intersection of lines by solving linear systems
  372.    wt: 1:   5 Algebraic View of Slopes
  373.    wt: 1:   4 Equations for lines three forms
  374.    wt: 1:   3 Slope product for perpendicular lines
  375.    wt: 1:   2 point slope equation for a line
  376.    wt: 1:   1 Numerical view of lines and their equations
  377.    wt: 1:   What is and is not here
  378.    wt: 1:   13 Pythagorean spatial distance formulas
  379.    wt: 1:   12 Spatial Coordinates
  380.    wt: 1:   11 Triangle Inequality
  381.    wt: 1:   10 Pythagorean plane distance formula
  382.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  383.    wt: 1:   8 Distance Between Points on a Line
  384.    wt: 1:   7 Complex Numbers Appetizer
  385.    wt: 1:   6 Polar Multiplication and Rotation
  386.    wt: 1:   5 Cartesian Addition and Translation
  387.    wt: 1:   4 Polar Coordinates to and from
  388.    wt: 1:   3 Rectangular Coordinates Review
  389.    wt: 1:   2 Cartesian Coordinates with signs
  390.    wt: 1:   1 Cartesian Coordinates sans signs
  391.    wt: 1:   A Measurement with Ruler Proper Use
  392.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  393.    wt: 1:   6 Figuring with Maps Not to Scale
  394.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  395.    wt: 1:   4 Angles on Maps Plans drawn to scale
  396.    wt: 1:   3 Lengths and Areas on Maps and Plans
  397.    wt: 1:   2 Measuring Area Directly
  398.    wt: 1:   1 Length Measurement
  399.    wt: 1:   About Folder Contents
  400.    wt: 1:   Skill Development Notes
  401.    wt: 1:   11 Volume of Sphere
  402.    wt: 1:   10 Volume of Pyramid
  403.    wt: 1:   9 Volume of Cone
  404.    wt: 1:   5 Box Volume Formula Example
  405.    wt: 1:   7 Calculator Usage Notes and Cautions
  406.    wt: 1:   Example 1. Area Between x and x squared
  407.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  408.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  409.    wt: 1:   Example 4 with x function of y
  410.    wt: 1:   Example 3
  411.    wt: 1:   Example 2
  412.    wt: 1:   Example 1
  413.    wt: 1:   Area Between Curves Lesson Take 2
  414.    wt: 1:   Area Between Curves Lesson Take 1
  415.    wt: 1:   Summary
  416.    wt: 1:   A Related Material in Volume 3
  417.    wt: 1:   A Related lessons in Volume 3
  418.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  419.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  420.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  421.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  422.    wt: 1:   G.5 Motions With Bounded Velocities
  423.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  424.    wt: 1:   G.3 Constant Difference Theorem Proof
  425.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  426.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  427.    wt: 1:   F.5b Extreme Value Theorem
  428.    wt: 1:   F.5a Equicontinuity Theorems
  429.    wt: 1:   F.4 Finite Covering Theorem
  430.    wt: 1:   F.3 Intermediate Value Theorem
  431.    wt: 1:   F.2 Closed Range Theorem
  432.    wt: 1:   F.1 What Functions are Continuous
  433.    wt: 1:   E2 Algebraic Properties of Limits
  434.    wt: 1:   E1 Error Control Inequalities
  435.    wt: 1:   D2 Limits of Monotone Sequences
  436.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  437.    wt: 1:   C Triangle Inequalities
  438.    wt: 1:   B3 Bolzano Weierstrass Theorem
  439.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  440.    wt: 1:   PostScript For and Against Decimal Perspectives
  441.    wt: 1:   A1. Introduction
  442.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  443.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  444.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  445.    wt: 1:   Chapter 23 Links To Trigonometry
  446.    wt: 1:   Chapter 22 Complex Numbers
  447.    wt: 1:   Chapter 21 Arrow Addition
  448.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  449.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  450.    wt: 1:   Chapter 18. Slopes Areas Integration
  451.    wt: 1:   Chapter 17. Area Approximation
  452.    wt: 1:   Chapter 16. Velocity Approximation
  453.    wt: 1:   Chapter 15. Slope Approximation
  454.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  455.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  456.    wt: 1:   Chapter 13. Acceleration
  457.    wt: 1:   Chapter 12. Units and Slopes
  458.    wt: 1:   Chapter 11. Graphing Slope versus Position
  459.    wt: 1:   Chapter 10 Slopes and Units
  460.    wt: 1:   Chapter 9 About First Courses in Calculus
  461.    wt: 1:   Chapter 8. Slope Interpretation
  462.    wt: 1:   Chapter 7 Slopes and Velocity
  463.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  464.    wt: 1:   Chapter 5. Slope Sign Tests
  465.    wt: 1:   Chapter 4. More Slope Sign Analysis
  466.    wt: 1:   Chapter 3. Slope Sign Analysis
  467.    wt: 1:   Chapter 2. Slopes and Ski Trails
  468.    wt: 1:   Chapter 1.Introduction
  469.    wt: 1:   Fall 1983 Calculus Appetizer
  470.    wt: 1:   Foreword
  471.    wt: 1:   Postscript More on Better Performance
  472.    wt: 1:   Postscript For Better Performance
  473.    wt: 1:   Appendix D. What to do in School and Why
  474.    wt: 1:   Appendix C. How to Read
  475.    wt: 1:   Appendix B. How To Learn
  476.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  477.    wt: 1:   Chapter 31 Direct and Indirect Reason
  478.    wt: 1:   Chapter 30 Truth Tables
  479.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  480.    wt: 1:   Chapter 28 Occurrence Tables
  481.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  482.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  483.    wt: 1:   Chapter 25. Mathematical Induction Examples
  484.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  485.    wt: 1:   Chapter 23. Notation For Sums
  486.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  487.    wt: 1:   Chapter 21. Third Reading Guide
  488.    wt: 1:   Chapter 20. Degrees and Radians
  489.    wt: 1:   Chapter 19. Functions and Sets
  490.    wt: 1:   Chapter 18. Rules for Algebra
  491.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  492.    wt: 1:   Chapter 16. Painless Theorem Proving
  493.    wt: 1:   Chapter 15. Solving Linear Equations
  494.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  495.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  496.    wt: 1:   Chapter 13. Second Reading Guide
  497.    wt: 1:   Chapter 12. Shorthand Usage Guide
  498.    wt: 1:   Chapter 11. Why Shorthand
  499.    wt: 1:   Chapter 10 Describing and Changing Calculations
  500.    wt: 1:   Postscript What is a Variable
  501.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  502.    wt: 1:   Chapter 8 Three Skills For Algebra
  503.    wt: 1:   Solutions For Arithmetic Exercises
  504.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  505.    wt: 1:   Chapter 6 Change of Language
  506.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  507.    wt: 1:   Chapter 4 Longer Chains of Reason
  508.    wt: 1:   Chapter 3 Chains of Reason
  509.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  510.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  511.    wt: 1:   Foreword
  512.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  513.    wt: 1:   Postscript C Consistency as a Tool for Reason
  514.    wt: 1:   Postscript B More on Story Telling and Reason
  515.    wt: 1:   Postscript A Story Telling
  516.    wt: 1:   Chapter 24 Direct and Indirect Reason
  517.    wt: 1:   Chapter 23 Truth Tables
  518.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  519.    wt: 1:   Chapter 21 Occurrence Tables
  520.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  521.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  522.    wt: 1:   Chapter 18 Sense and Knowledge
  523.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  524.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  525.    wt: 1:   Chapter 15 Objective Processes
  526.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  527.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  528.    wt: 1:   Chapter 11 Accidental Patterns
  529.    wt: 1:   Chapter 10 Responsibility
  530.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  531.    wt: 1:   Chapter 8 Change of Language
  532.    wt: 1:   Chapter 7 Longer Chains of Reason
  533.    wt: 1:   Chapter 6 Chains of Reason
  534.    wt: 1:   Chapter 5 Deception
  535.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  536.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  537.    wt: 1:   Chapter 2 Skill Development
  538.    wt: 1:   Chapter 1 Introduction
  539.    wt: 1:   Three Remarks
  540.    wt: 1:   Foreword
  541.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  542.    wt: 1:   R Why Learn Mathematics Skills
  543.    wt: 1:   O On Learning Mathematics and Science
  544.    wt: 1:   N Mathematics Prepare for College Studies
  545.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  546.    wt: 1:   Chapter 8 Skipped Topics and Why
  547.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  548.    wt: 1:   Chapter 3 Algebra Starter Lessons
  549.    wt: 1:   Chapter 2 Why Sets
  550.    wt: 1:   Chapter 1 Arithmetic
  551.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  552.    wt: 1:   7 Games and Activities for Instruction
  553.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  554.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  555.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  556.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  557.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  558.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  559.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  560.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  561.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  562.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  563.    wt: 1:   More Algebra and Slope based Calculus Preview
  564.    wt: 1:   Systematic Algebra Skill Development Missing Links
  565.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  566.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  567.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  568.    wt: 1:   Which Way To Go

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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