Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

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 material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

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

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: 4:   Mathematics Education Essays/
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  4.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  5.    wt: 2:   13 Lessons on Limits and Continuity/
  6.    wt: 1:   LAMP Lean Applied Mathematics Program/
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  8.    wt: 1:   4 Functions/
  9.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  10.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  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:   B Real Numbers Extrinsic Development/
  24.    wt: 1:   A Origins of Counting and Figuring Methods/
  25.    wt: 1:   10 Examples of Algebraic Reasoning/
  26.    wt: 1:   9 Proportionality Backwards and Forwards/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 1:   5 Real Numbers/
  31.    wt: 1:   4 Computation Rules and Function Notation/
  32.    wt: 1:   Step 4 Gaussian Elimination/
  33.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  34.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  35.    wt: 1:   Step 1 Stick diagram and fractions/
  36.    wt: 1:   3 Solving Linear Equations/
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  38.    wt: 1:   1 Working With Sets/
  39.    wt: 1:   Algebra Starter Lessons/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   5 Lessons on Integration/
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  43.    wt: 1:   38 Lessons on Calculating Derivatives/
  44.    wt: 1:   70 Calculus Starter Lessons/

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  1.    wt: 2:   8 analytic geometry etc
  2.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 1:   K LAMP Musings Science Education
  4.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  5.    wt: 1:   Skills Chapter 2 Geometry
  6.    wt: 1:   3 Euclidean Geometry Leanly
  7.    wt: 1:   links Education Resources online
  8.    wt: 1:   Mathematics Education Professors
  9.    wt: 1:   modern education
  10.    wt: 1:   Education Reform Inconsistencies
  11.    wt: 1:   three goals for Mathematics Education
  12.    wt: 1:   05 13 OldSiteEntrancePage
  13.    wt: 1:   02 20 mathematics education references
  14.    wt: 1:   Education in mathematics science and technology
  15.    wt: 1:   Four ways to improve education reform
  16.    wt: 1:   education an empirical art
  17.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  18.    wt: 1:   13 Addition and Addition Tables
  19.    wt: 1:   11 Help and Defend Your Child or Teens Education
  20.    wt: 1:   Ages 12 to 14 Geometry
  21.    wt: 1:   Ages 10 to 12 Geometry
  22.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  23.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  24.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  25.    wt: 1:   23 Inverse Functions
  26.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  27.    wt: 1:   15 Sign analysis of functions
  28.    wt: 1:   13 From one to one to many to one
  29.    wt: 1:   8 Set view of relations and functions
  30.    wt: 1:   7 Functions with finite domains
  31.    wt: 1:   1 Calculator Starter Exercises
  32.    wt: 1:   13 cosecant function Definition Graph and Inverse
  33.    wt: 1:   13 Velocity Vectors in Physics
  34.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  35.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  36.    wt: 1:   30 unit circle calculation of six trigonometric functions
  37.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  38.    wt: 1:   13 Graph of tangent function many periods
  39.    wt: 1:   13 Trig Formulas for dot and cross Products
  40.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  41.    wt: 1:   13 Pythagorean spatial distance formulas
  42.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  43.    wt: 1:   13 Angle Side Angle Failure
  44.    wt: 1:   Short Course on Euclidean Geometry
  45.    wt: 1:   13 Arrows and Vectors in a Plane
  46.    wt: 1:   13 Real Number Subtraction
  47.    wt: 1:   13 Naming Identifying Formulas with Words
  48.    wt: 1:   13 GCD from given Prime Factorization
  49.    wt: 1:   13 Fraction Comparison Algebraic View
  50.    wt: 1:   13 Subtraction with Additive Inverse
  51.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  52.    wt: 1:   13 video Factors of 24 using prime
  53.    wt: 1:   013 Travel Time Tables
  54.    wt: 1:   31 Derivatives of inverse functions
  55.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  56.    wt: 1:   26 Chain Rule Recognising outer inner functions
  57.    wt: 1:   19 Chain Rule for linear functions
  58.    wt: 1:   13 sine and cosine derivatives 1st step
  59.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  60.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  61.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  62.    wt: 1:   F.1 What Functions are Continuous
  63.    wt: 1:   Chapter 13. Acceleration
  64.    wt: 1:   Chapter 19. Functions and Sets
  65.    wt: 1:   Chapter 13. Second Reading Guide
  66.    wt: 1:   Postscript B Mathematics Education References
  67.    wt: 1:   Chapter 7 Two Treatments of Geometry
  68.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  69.    wt: 1:   Chapter 6 More Algebra and Geometry
  70.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  71.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  72.    wt: 1:   Chapter 3 Algebra Starter Lessons
  73.    wt: 1:   Mathematics Education References
  74.    wt: 1:   Mathematics Education References

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615 matches:

  1.    wt: 5:   links Education Resources online
  2.    wt: 5:   Mathematics Education Professors
  3.    wt: 5:   modern education
  4.    wt: 5:   Education Reform Inconsistencies
  5.    wt: 5:   three goals for Mathematics Education
  6.    wt: 5:   05 13 OldSiteEntrancePage
  7.    wt: 5:   02 20 mathematics education references
  8.    wt: 5:   Education in mathematics science and technology
  9.    wt: 5:   Four ways to improve education reform
  10.    wt: 5:   education an empirical art
  11.    wt: 5:   13 Velocity Vectors in Physics
  12.    wt: 4:   8 analytic geometry etc
  13.    wt: 4:   why bother
  14.    wt: 4:   which way to go
  15.    wt: 4:   website reviews
  16.    wt: 4:   three goals to set for students
  17.    wt: 4:   Teach the teachers plus goals
  18.    wt: 4:   permissions for teachers
  19.    wt: 4:   Math Ed if it must be short make it lean effective
  20.    wt: 4:   Applied Maths Program14092009 POMME variant
  21.    wt: 4:   activities for students
  22.    wt: 4:   site origins
  23.    wt: 4:   site eurekas
  24.    wt: 4:   About site lesson plans
  25.    wt: 4:   key notes and themes
  26.    wt: 4:   teacher certification
  27.    wt: 4:   learning takes time
  28.    wt: 4:   grouping students according to ability
  29.    wt: 4:   what should be learnt and When
  30.    wt: 4:   mathematics in context
  31.    wt: 4:   Postscript 2007 01 10
  32.    wt: 4:   five decades make a difference
  33.    wt: 4:   Maps Plans Drawings
  34.    wt: 4:   how letters appear
  35.    wt: 4:   Secondary Three Mathematics
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  38.    wt: 4:   talk the algebra talk
  39.    wt: 4:   three difficulties
  40.    wt: 4:   teaching tips
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  42.    wt: 4:   mathematics curriculum shifts
  43.    wt: 4:   geometric implications for algebra
  44.    wt: 4:   teaching tutoring algebraic reason
  45.    wt: 4:   Lessening Algebra Difficulties
  46.    wt: 4:   the trouble with algebra
  47.    wt: 4:   04 29 New Mathematics Curriculum
  48.    wt: 4:   04 25 when to stop or suspend mathemat
  49.    wt: 4:   02 21 words for teachers
  50.    wt: 4:   three aims for mathematics students
  51.    wt: 4:   standards for course material
  52.    wt: 4:   Operational Viewpoint to Value
  53.    wt: 4:   formal or informal peer review
  54.    wt: 4:   Theory of Knowledge
  55.    wt: 4:   mathematics instruction in general
  56.    wt: 4:   Different Kinds of Reasoning in maths
  57.    wt: 4:   three kinds of reason in mathematics
  58.    wt: 4:   cultivating intelligence
  59.    wt: 4:   How to be a better instructor
  60.    wt: 4:   Motivation and Context Problem
  61.    wt: 4:   need for a mixed mathematics curriculum
  62.    wt: 4:   Leaner mathematics curriculum
  63.    wt: 4:   Prequel In For A Penny In For A Pound
  64.    wt: 4:   fairness and inductive principles for instruction
  65.    wt: 4:   words for mathematics instructor
  66.    wt: 4:   13 Angle Side Angle Failure
  67.    wt: 3:   3 Euclidean Geometry Leanly
  68.    wt: 3:   13 From one to one to many to one
  69.    wt: 3:   A Global Time and Navigation
  70.    wt: 3:   15 Dot and Cross Product
  71.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  72.    wt: 3:   12 From Applied To Pure Mathematics
  73.    wt: 3:   11 Component Method
  74.    wt: 3:   10 Parallelogram Addition Method
  75.    wt: 3:   9 Head to Tail Coordinate View
  76.    wt: 3:   8 Parallel Vectors
  77.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  78.    wt: 3:   6 Vectors with Coordinates
  79.    wt: 3:   5 Head To Tail Arrow Addition
  80.    wt: 3:   4 Resultant of a Sum of Movements
  81.    wt: 3:   3 Navigation with Arrows or Vectors
  82.    wt: 3:   2 Signed Coordinates
  83.    wt: 3:   1 Unsigned Coordinates
  84.    wt: 3:   Vector and Complex Number Applet
  85.    wt: 3:   32 seven rows of pascals triangle
  86.    wt: 3:   13 Trig Formulas for dot and cross Products
  87.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  88.    wt: 3:   13 Pythagorean spatial distance formulas
  89.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  90.    wt: 3:   Short Course on Euclidean Geometry
  91.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  92.    wt: 2:   K LAMP Musings Science Education
  93.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  94.    wt: 2:   Ramblings Extrinsic numbers theory
  95.    wt: 2:   Ramblings Introduction Algebra Essay
  96.    wt: 2:   Skills Chapter 3 Algebra
  97.    wt: 2:   Skills Chapter 2 Geometry
  98.    wt: 2:   11 pure mathematics
  99.    wt: 2:   10 statistics
  100.    wt: 2:   9 combinatorics probability sets
  101.    wt: 2:   7 logic review and decimals an odd combination
  102.    wt: 2:   6 polynomials etc
  103.    wt: 2:   5 logarithms and exponentials etc
  104.    wt: 2:   4 algebra
  105.    wt: 2:   2 arithmetic with signed numbers
  106.    wt: 2:   1 arithmetic with unsigned numbers
  107.    wt: 2:   What is POMME
  108.    wt: 2:   13 Addition and Addition Tables
  109.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  110.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  111.    wt: 2:   23 Inverse Functions
  112.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  113.    wt: 2:   15 Sign analysis of functions
  114.    wt: 2:   8 Set view of relations and functions
  115.    wt: 2:   7 Functions with finite domains
  116.    wt: 2:   13 cosecant function Definition Graph and Inverse
  117.    wt: 2:   3 Left Inverse of cosine arccos definition
  118.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  119.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  120.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  121.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  122.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  123.    wt: 2:   31 basic secant cosecant cotangent trig identities
  124.    wt: 2:   30 unit circle calculation of six trigonometric functions
  125.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  126.    wt: 2:   15 sine cosine Complementary Angle Relations
  127.    wt: 2:   13 Graph of tangent function many periods
  128.    wt: 2:   6 Geometric Diagrams in Class
  129.    wt: 2:   3 Similarity by Design with coordinates
  130.    wt: 2:   PS H Distributive Law For Complex Numbers
  131.    wt: 2:   PS G Rotation Distributes over Addition
  132.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  133.    wt: 2:   PS E Multiplication with Polar Coordinates
  134.    wt: 2:   PS D Addition with Cartesian Coordinates
  135.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  136.    wt: 2:   PS B Parallelogram Construction Methods
  137.    wt: 2:   PS A Kite Construction Methods
  138.    wt: 2:   21 Parallelograms
  139.    wt: 2:   19 Right Triangle Similarity
  140.    wt: 2:   18 Triangle Similarity Take 1
  141.    wt: 2:   17 Right Bisectors of Triangle Sides
  142.    wt: 2:   16 Angles Subtended By Chords and Diameters
  143.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  144.    wt: 2:   14 Parallel Lines Postulate
  145.    wt: 2:   12 Side Angle Side Failure
  146.    wt: 2:   11 Triangle Construction Fails
  147.    wt: 2:   10 Dropping a perpendicular to line
  148.    wt: 2:   9 Construction of a right bisector
  149.    wt: 2:   8 Isoceles Triangles
  150.    wt: 2:   7 Angle Side Angle
  151.    wt: 2:   6 Ruler and compass Angle Bisection
  152.    wt: 2:   5 Side Angle Side
  153.    wt: 2:   4 Side Side Side
  154.    wt: 2:   3 Isometry of Triangles Congruence
  155.    wt: 2:   2 Correspondence between Triangles
  156.    wt: 2:   1 Initial Concepts and Terms
  157.    wt: 2:   13 Arrows and Vectors in a Plane
  158.    wt: 2:   13 Real Number Subtraction
  159.    wt: 2:   13 Naming Identifying Formulas with Words
  160.    wt: 2:   13 video Factors of 24 using prime
  161.    wt: 2:   31 Derivatives of inverse functions
  162.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  163.    wt: 2:   26 Chain Rule Recognising outer inner functions
  164.    wt: 2:   19 Chain Rule for linear functions
  165.    wt: 2:   13 sine and cosine derivatives 1st step
  166.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  167.    wt: 2:   11 Limits at infinity Three Examples
  168.    wt: 2:   10 Three one sided limits with infinite values
  169.    wt: 2:   9 Limits Continuity and Composition
  170.    wt: 2:   8 Four Animated Examples
  171.    wt: 2:   7 Evaluation by immediate or delayed substitution
  172.    wt: 2:   6 Continuity at a point
  173.    wt: 2:   5 Jumps and absence of unlimited error control
  174.    wt: 2:   4 Numerical properties
  175.    wt: 2:   3 Decimal insights for limits continuity convergence
  176.    wt: 2:   2 Algebraic codification
  177.    wt: 2:   1 Numerical introduction
  178.    wt: 2:   Chapter 13. Acceleration
  179.    wt: 2:   Chapter 13. Second Reading Guide
  180.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  181.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  182.    wt: 1:   Appendix 2 primary school Arithmetic 01
  183.    wt: 1:   Appendix 1 primary and preschool mathematic
  184.    wt: 1:   J LAMP Introduction Extrinsic Origins
  185.    wt: 1:   I LAMP Introduction Study Habits
  186.    wt: 1:   H LAMP Introduction Instructional Concepts
  187.    wt: 1:   G LAMP Introduction Problem Solving Skills
  188.    wt: 1:   F LAMP Introduction Prerequisites
  189.    wt: 1:   E LAMP Introduction Modern Mathematics
  190.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  191.    wt: 1:   A Introduction Objectives
  192.    wt: 1:   Skills Chapter 5 Calculus
  193.    wt: 1:   Skills Chapter 4 Logic
  194.    wt: 1:   Skills Chapter 1 Arithmetic
  195.    wt: 1:   Skills Chapter 0 Introduction
  196.    wt: 1:   A Wire Resistance Qualitative01
  197.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  198.    wt: 1:   11 Help and Defend Your Child or Teens Education
  199.    wt: 1:   Ages 12 to 14 Geometry
  200.    wt: 1:   Ages 10 to 12 Geometry
  201.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  202.    wt: 1:   26 Function definitions done and coming
  203.    wt: 1:   22 Square Root function graphically
  204.    wt: 1:   20 Interchanging coordinates a reflection
  205.    wt: 1:   19 Horizontal line rule and method
  206.    wt: 1:   18 Vertical Line Rule and Method
  207.    wt: 1:   17 Function maxima minima and their location
  208.    wt: 1:   16 Increasing or decreasing on intervals
  209.    wt: 1:   14 Surjections Injections Bijections
  210.    wt: 1:   12 Function Domain Recognition Exercises
  211.    wt: 1:   11 Function Domain Range Source and Targets
  212.    wt: 1:   10 Interval Notation
  213.    wt: 1:   9 Set theory term relation possible origins
  214.    wt: 1:   6 Set Existence Formation and Notation
  215.    wt: 1:   5 Function notation for geometric transformations
  216.    wt: 1:   4 Function notation in and beyond mathematics
  217.    wt: 1:   3 Formula or function graphing exercise
  218.    wt: 1:   2 Algebraic use of function notation
  219.    wt: 1:   1 Geometric Introduction of Function Notation
  220.    wt: 1:   Introduction Reading Guide
  221.    wt: 1:   1 Calculator Starter Exercises
  222.    wt: 1:   16 cotangent function Definition Graph and Inverse
  223.    wt: 1:   15 cosecant function Definition Graph and Inverse
  224.    wt: 1:   14 secant function Definition Graph and Inverse
  225.    wt: 1:   12 motivation for term arctan
  226.    wt: 1:   11 arctan left inverse of tangent Graph
  227.    wt: 1:   10 arctan left inverse of tangent Definition
  228.    wt: 1:   9 motivation for name arcsin
  229.    wt: 1:   8 arcsin left inverse of sine Graph
  230.    wt: 1:   7 arcsin left inverse of sine Definition
  231.    wt: 1:   6 Graph of arccos function
  232.    wt: 1:   5 Swapping Coordinates is a reflection
  233.    wt: 1:   4 possible motivation for term arccos
  234.    wt: 1:   2 cosine function more properties
  235.    wt: 1:   1 cosine function properties
  236.    wt: 1:   9 Summary Degrees to Radians and back
  237.    wt: 1:   8 Radian Measures of Common Angles
  238.    wt: 1:   7 Radian Measures in special Triangles
  239.    wt: 1:   6 Radian Measure to Degrees
  240.    wt: 1:   5 Degrees to Radian Measure
  241.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  242.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  243.    wt: 1:   2 Radian Measure Numerical Value of one degree
  244.    wt: 1:   1 Degrees and Radians Introduction
  245.    wt: 1:   4 graphing y=Asin(x c)
  246.    wt: 1:   3 graphing y=f(x c) plus K
  247.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  248.    wt: 1:   1 graphing y=f(x a)
  249.    wt: 1:   Parallel Lines and Parallel Transversals
  250.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  251.    wt: 1:   Triangle Angles Sum To 180 Degrees
  252.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  253.    wt: 1:   Parallel Lines and Interior Angles
  254.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  255.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  256.    wt: 1:   Straight Lines ASA Intersection Study More
  257.    wt: 1:   Straight Lines ASA Intersection Study
  258.    wt: 1:   Straight Lines Instersection Solving Equations
  259.    wt: 1:   Straight Lines Intersection of
  260.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  261.    wt: 1:   C Straight Lines Slope from Coordinates
  262.    wt: 1:   B Straight Line Slope Scaling Properties More
  263.    wt: 1:   A Straight Line Slope Scaling Properties
  264.    wt: 1:   14 Straight Lines Equations General Case
  265.    wt: 1:   12 Straight Lines Graphing mx plus b
  266.    wt: 1:   11 Straight Lines Graphing y=mx
  267.    wt: 1:   10 Straight Lines through Origin Equations More
  268.    wt: 1:   9 Straight Lines through Origin Equations
  269.    wt: 1:   8 Straight Lines Equation for vertical
  270.    wt: 1:   7 Tangent Function is odd on this domain
  271.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  272.    wt: 1:   5 Tangent Function Graph
  273.    wt: 1:   4 Tangent Function Properties
  274.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  275.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  276.    wt: 1:   1 Straight Lines Slope Concept
  277.    wt: 1:   17 tangent function angle sum formulas
  278.    wt: 1:   29 secant cosecant and cotangent for acute angles
  279.    wt: 1:   28 Expressing products of sines cosines as sums
  280.    wt: 1:   27 Logarithmic use of products of sines and cosines
  281.    wt: 1:   26 Formulas for products of sines and cosines
  282.    wt: 1:   25 tangent double angle formula Slope connection
  283.    wt: 1:   24 tangent Angle Difference Formula
  284.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  285.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  286.    wt: 1:   21 sine and cosine Half Angle Formulas
  287.    wt: 1:   20 sine and cosine Double Angle Formulas
  288.    wt: 1:   18 sum of sinusoidal waves as a single wave
  289.    wt: 1:   17G Pythagorean Theorem Converse
  290.    wt: 1:   17F Law of cosines
  291.    wt: 1:   17E Trig Formulas for dot and cross Products
  292.    wt: 1:   17D cis formulas for sine cosines and tangent
  293.    wt: 1:   17C sine and cosine double triple angle formulas
  294.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  295.    wt: 1:   17A The complex number valued trig function cis
  296.    wt: 1:   16 Right Triangle Complementary Angle Relations
  297.    wt: 1:   14 cosine even and sine and tangent are odd
  298.    wt: 1:   12 Graph of tangent function for one period
  299.    wt: 1:   11 tangent function undefined when terminal side vertical
  300.    wt: 1:   10 Graphs of sines and cosines many periods
  301.    wt: 1:   9 Graphs of sine and cosine over one period
  302.    wt: 1:   8 period of tangent function
  303.    wt: 1:   7 period of sine and cosine
  304.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  305.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  306.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  307.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  308.    wt: 1:   2 Quadrant I reference Angles
  309.    wt: 1:   1 Unit Points Reflections Rotations
  310.    wt: 1:   Unit Circle Development of Trigonometry
  311.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  312.    wt: 1:   21 Logarithms Powers and Exponentials
  313.    wt: 1:   20 N th Roots of Complex Numbers
  314.    wt: 1:   19 N th Roots of Unity
  315.    wt: 1:   18 Sixth Roots of Unity
  316.    wt: 1:   17 Cube Roots of unity
  317.    wt: 1:   16 References and Originality Question
  318.    wt: 1:   15 Pythagorean Theorem Converse
  319.    wt: 1:   14 Law of cosines
  320.    wt: 1:   12 cis formulas for sine cosines and tangent
  321.    wt: 1:   11 sine and cosine double triple angle formulas
  322.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  323.    wt: 1:   9 The complex number valued trig function cis
  324.    wt: 1:   8 Unit Circle Development of Trigonometry
  325.    wt: 1:   7 Second Way to Calculate Products
  326.    wt: 1:   6 Field Properties of Complex Number
  327.    wt: 1:   5 An Easy Proof of the Distributive Law
  328.    wt: 1:   4 Multiplication Properties
  329.    wt: 1:   3 Addition Properties
  330.    wt: 1:   2 Complex Numbers made easier we hope
  331.    wt: 1:   1 Rectangular Polar Coordinates Review
  332.    wt: 1:   Appetizer A Complex Number Applet
  333.    wt: 1:   8 Triangles Cascade Problem Solving
  334.    wt: 1:   7 Trignometric Ratios Unit Circle
  335.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  336.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  337.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  338.    wt: 1:   3 Trigonometric Ratios sine and cosine
  339.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  340.    wt: 1:   1 Angle Measurement with Degrees
  341.    wt: 1:   Why Trigonometry the whyslopes view
  342.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  343.    wt: 1:   12 Triangles Similarity More Problems
  344.    wt: 1:   11 Triangle Similarity Missing Side Problem
  345.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  346.    wt: 1:   9 Similarity of Triangles Usual Criteria
  347.    wt: 1:   8 Similarity of Triangles and Polygons
  348.    wt: 1:   7 Translations Rotations Reflections Dilatations
  349.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  350.    wt: 1:   4 Similarity Definition with Coordinate
  351.    wt: 1:   2 Similarity By Design
  352.    wt: 1:   1 Early Concept of Like or Similar Shapes
  353.    wt: 1:   Four Simple Exercises
  354.    wt: 1:   12 Links Lessons elsewhere
  355.    wt: 1:   11 A Partial Summary
  356.    wt: 1:   10 Midpoint of [a b] and [b a]
  357.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  358.    wt: 1:   8 Mid Point Formula
  359.    wt: 1:   7 Exercises to test skill and concept mastery
  360.    wt: 1:   6 Intersection of lines by solving linear systems
  361.    wt: 1:   5 Algebraic View of Slopes
  362.    wt: 1:   4 Equations for lines three forms
  363.    wt: 1:   3 Slope product for perpendicular lines
  364.    wt: 1:   2 point slope equation for a line
  365.    wt: 1:   1 Numerical view of lines and their equations
  366.    wt: 1:   What is and is not here
  367.    wt: 1:   12 Spatial Coordinates
  368.    wt: 1:   11 Triangle Inequality
  369.    wt: 1:   10 Pythagorean plane distance formula
  370.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  371.    wt: 1:   8 Distance Between Points on a Line
  372.    wt: 1:   7 Complex Numbers Appetizer
  373.    wt: 1:   6 Polar Multiplication and Rotation
  374.    wt: 1:   5 Cartesian Addition and Translation
  375.    wt: 1:   4 Polar Coordinates to and from
  376.    wt: 1:   3 Rectangular Coordinates Review
  377.    wt: 1:   2 Cartesian Coordinates with signs
  378.    wt: 1:   1 Cartesian Coordinates sans signs
  379.    wt: 1:   A Measurement with Ruler Proper Use
  380.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  381.    wt: 1:   6 Figuring with Maps Not to Scale
  382.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  383.    wt: 1:   4 Angles on Maps Plans drawn to scale
  384.    wt: 1:   3 Lengths and Areas on Maps and Plans
  385.    wt: 1:   2 Measuring Area Directly
  386.    wt: 1:   1 Length Measurement
  387.    wt: 1:   About Folder Contents
  388.    wt: 1:   musings do not puiblish real numbers
  389.    wt: 1:   A Modular and Remainder Arithmetic
  390.    wt: 1:   A Signed Number Arithmetic Review
  391.    wt: 1:   26 More Less Greater Than Comparison
  392.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  393.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  394.    wt: 1:   23 Distributive Law Two Derivations
  395.    wt: 1:   22 Multiplication of Signed Numbers
  396.    wt: 1:   21 Addition of Multiples of a Single Vector
  397.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  398.    wt: 1:   19 Signed Multiples of Vectors
  399.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  400.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  401.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  402.    wt: 1:   15 Head to Tails in place Addition Associative
  403.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  404.    wt: 1:   12 Real Numbers Line Signed Coordinates
  405.    wt: 1:   11 Signed Number Addition and Addition Properties
  406.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  407.    wt: 1:   9 Division with Digits after Decimal Point
  408.    wt: 1:   8 Division and Mulplication of Compound Fractions
  409.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  410.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  411.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  412.    wt: 1:   4 Location of Point in Decimal Addition
  413.    wt: 1:   3 Location of Point in Decimal Multiplication
  414.    wt: 1:   2 Counting Digits in Decimal Multiplication
  415.    wt: 1:   1 Fractions with Finite Decimal Expansions
  416.    wt: 1:   E Long Division Methods more
  417.    wt: 1:   D Long Division Methods
  418.    wt: 1:   C Three Decimal Subtraction Methods
  419.    wt: 1:   B Decimal Comparison and Subtraction
  420.    wt: 1:   A Decimal Addition Columm Methods
  421.    wt: 1:   8 Column Multiplication Methods in General
  422.    wt: 1:   7 Decimals Multiplication Methods Examples
  423.    wt: 1:   6 Column Methods for Decimal Multiplication
  424.    wt: 1:   5 Distributive Law for Whole Numbers
  425.    wt: 1:   4 Commutative Law Groups Counting Form
  426.    wt: 1:   3 Multiplicative Counting Skills Principles
  427.    wt: 1:   2 Combing Counts Addition Skills and Principles
  428.    wt: 1:   1 The Counting Origins of Numbers
  429.    wt: 1:   5 Areas of Rectangles Revisited
  430.    wt: 1:   4 Fraction Operations Axiomatic Development
  431.    wt: 1:   3 Inequalities Algebraically
  432.    wt: 1:   2 Fraction Operations Physical Development
  433.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  434.    wt: 1:   5 Proportionality in Equivalent Fractions
  435.    wt: 1:   4 Rates Ratios and Proporitionality
  436.    wt: 1:   3 Proportionality Examples
  437.    wt: 1:   2 Algebraic View
  438.    wt: 1:   1 What is Proportionality
  439.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  440.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  441.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  442.    wt: 1:   6 Compound Interest Forward and Backwards
  443.    wt: 1:   5 Triangle Area Formula Backwards
  444.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  445.    wt: 1:   3 Linear Equation Literal Solution More
  446.    wt: 1:   2 Linear Equation Literal Solution
  447.    wt: 1:   1 Changing Calculations
  448.    wt: 1:   6 Equations and Systems Equivalent or Implied
  449.    wt: 1:   5 Equality in Algebra
  450.    wt: 1:   4 Subtraction and Division Axioms
  451.    wt: 1:   3 Product Axioms Two Forms
  452.    wt: 1:   2 Addition and Multiplication Axioms
  453.    wt: 1:   1 Equivalent Computation Rules
  454.    wt: 1:   5 Greater More Less Than Signs in General
  455.    wt: 1:   4 Comparison of Negative Numbers
  456.    wt: 1:   3 More and Less Than with Unlike Signs
  457.    wt: 1:   2 More and Less Than for Counts and Measures
  458.    wt: 1:   1 Real Numbers Comparison
  459.    wt: 1:   16 Real Numbers Comparison
  460.    wt: 1:   15 Real Number Division
  461.    wt: 1:   14 Real Number Multiplication
  462.    wt: 1:   12 Real Number Additive Inverses or Negatives
  463.    wt: 1:   11 Real Number Addition
  464.    wt: 1:   10 Real Number Lengths and Signs
  465.    wt: 1:   9 Coordinates for Regions in Space
  466.    wt: 1:   8 Coordinates for Maps and Planes
  467.    wt: 1:   7 Real Numbers as Line Cordinates
  468.    wt: 1:   6 Unsigned Real Numbers
  469.    wt: 1:   5 Rational Numbers More
  470.    wt: 1:   4 Rational Numbers
  471.    wt: 1:   3 Fractions
  472.    wt: 1:   2 Integers
  473.    wt: 1:   1 Whole and Natural Numbers
  474.    wt: 1:   5 Independent versus Dependent Variables
  475.    wt: 1:   4 Changing Letters
  476.    wt: 1:   3 Geometric Formulas and Function Notation
  477.    wt: 1:   2 Computation Rules Evaluation
  478.    wt: 1:   1 Formulas Dependence and Function Notation
  479.    wt: 1:   More Exercises
  480.    wt: 1:   Simple Exercises
  481.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  482.    wt: 1:   4 GE III Animated Examples
  483.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  484.    wt: 1:   3 GE III Equation Addition and Multiplication
  485.    wt: 1:   2 GE II Comparison
  486.    wt: 1:   1 GE Substitution four examples
  487.    wt: 1:   4 Solving a triangular system exercise
  488.    wt: 1:   3 Solving triangular system example
  489.    wt: 1:   2 Essentially one exercises three with solution
  490.    wt: 1:   1 Essentially One Unknown
  491.    wt: 1:   6 Algebraic Solution Example
  492.    wt: 1:   5 Algebraic Solutions Introduction
  493.    wt: 1:   4 Four Examples Fractional Coefficients
  494.    wt: 1:   3 Four Examples
  495.    wt: 1:   2 Three Examples
  496.    wt: 1:   1 Proper Equal Sign Usage
  497.    wt: 1:   Skill Development Notes
  498.    wt: 1:   10 One Example
  499.    wt: 1:   9 Three Examples
  500.    wt: 1:   8 One Example
  501.    wt: 1:   7 Two Examples
  502.    wt: 1:   6 Three Examples
  503.    wt: 1:   5 Three Examples
  504.    wt: 1:   4 Two Examples
  505.    wt: 1:   3 Two Examples
  506.    wt: 1:   2 Three Examples
  507.    wt: 1:   Using Letters for Physical Quantities
  508.    wt: 1:   Formula Usage Show Work Format
  509.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  510.    wt: 1:   11 Volume of Sphere
  511.    wt: 1:   10 Volume of Pyramid
  512.    wt: 1:   9 Volume of Cone
  513.    wt: 1:   8 Compound Interest Formula Evaluation
  514.    wt: 1:   7 Compound Interest Formula Introduction
  515.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  516.    wt: 1:   5 Box Volume Formula Example
  517.    wt: 1:   4 Circle Area Formula Example
  518.    wt: 1:   3 Triangle Area Formula Example
  519.    wt: 1:   2 Another Rectangle Area Formula Example
  520.    wt: 1:   1 Written work formats for developing and showing skill
  521.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  522.    wt: 1:   9 Sets in Probability and Statistics
  523.    wt: 1:   8 Sets of Numbers
  524.    wt: 1:   7 Cautious or Safe Set Construction
  525.    wt: 1:   6 Power Set Notation
  526.    wt: 1:   5 Product Builder Notation
  527.    wt: 1:   4 Subset Builder Notation
  528.    wt: 1:   3 Counting with Sets etc
  529.    wt: 1:   2 Venn Diagrams
  530.    wt: 1:   1 Finite Sets
  531.    wt: 1:   6 Three Notions of What is a Variable
  532.    wt: 1:   5 Talking about Numbers and Quantities
  533.    wt: 1:   4 A Brief Story of numbers and algebra
  534.    wt: 1:   3 Adding Words To Arithmetic
  535.    wt: 1:   2 What is a Variable
  536.    wt: 1:   1 Three Skills For Algebra
  537.    wt: 1:   About Folder Contents
  538.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  539.    wt: 1:   13 GCD from given Prime Factorization
  540.    wt: 1:   13 Fraction Comparison Algebraic View
  541.    wt: 1:   A Associative Law Theorectical Note
  542.    wt: 1:   13 Subtraction with Additive Inverse
  543.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  544.    wt: 1:   013 Travel Time Tables
  545.    wt: 1:   Example 2 volume of a cone
  546.    wt: 1:   Example 1 volume of a pyramid
  547.    wt: 1:   Volume of Solid by Cross Sections Lesson
  548.    wt: 1:   Example 1. Area Between x and x squared
  549.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  550.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  551.    wt: 1:   Example 4 with x function of y
  552.    wt: 1:   Example 3
  553.    wt: 1:   Example 2
  554.    wt: 1:   Example 1
  555.    wt: 1:   Area Between Curves Lesson Take 2
  556.    wt: 1:   Area Between Curves Lesson Take 1
  557.    wt: 1:   Summary
  558.    wt: 1:   A Related Material in Volume 3
  559.    wt: 1:   5 Area Under Curve Exercise
  560.    wt: 1:   4 Definite Integrals Evaluation Exercises
  561.    wt: 1:   3 Two Chain Rule Method Exercises
  562.    wt: 1:   2 Indefinite Integrals Exercises
  563.    wt: 1:   1 Chain Rule in Reverse Integration Method
  564.    wt: 1:   A Related lessons in Volume 3
  565.    wt: 1:   4 Second derivative test exercise example
  566.    wt: 1:   3 Second derivative test
  567.    wt: 1:   2 Second derivative test prequel
  568.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  569.    wt: 1:   A Chain Rule Real Player video examples
  570.    wt: 1:   38 Formulas and derivatives for powers and roots
  571.    wt: 1:   36 Cube root derivative animated
  572.    wt: 1:   34 Derivative of exponential function
  573.    wt: 1:   33 Chain Rule Real Player video examples
  574.    wt: 1:   30Chain Rule A Proof
  575.    wt: 1:   29 Chain Rule Optional Reading
  576.    wt: 1:   28 Chain Rule Preparation for a Proof
  577.    wt: 1:   25 Chain Rule Animated Examples Continued
  578.    wt: 1:   24 Chain Rule Animated Examples
  579.    wt: 1:   23 Chain Rule in general
  580.    wt: 1:   22 Chain Rule for polynomials
  581.    wt: 1:   21 Chain Rule for powers
  582.    wt: 1:   20 Chain Rule for Pulley Systems
  583.    wt: 1:   18 Chain Rule Introduction
  584.    wt: 1:   17 Derivatives of quotients of sine and cosine
  585.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  586.    wt: 1:   15 sine and cosine derivatives 3rd step
  587.    wt: 1:   14 sine and cosine derivatives 2nd step
  588.    wt: 1:   12 Quotient rule examples
  589.    wt: 1:   11 Quotient rule
  590.    wt: 1:   10 Power rule for negative integers
  591.    wt: 1:   9 Reciprocal rule
  592.    wt: 1:   8 Differentiation of polynomials
  593.    wt: 1:   7 Animated Differentiation Examples
  594.    wt: 1:   6 Power rule from product rule
  595.    wt: 1:   5 Product Rule
  596.    wt: 1:   4 Sum Rule
  597.    wt: 1:   3 Motivation for Limit Definition Take 2
  598.    wt: 1:   2 Motivation for Limit Definition Take 1
  599.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  600.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  601.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  602.    wt: 1:   F.5a Equicontinuity Theorems
  603.    wt: 1:   F.1 What Functions are Continuous
  604.    wt: 1:   Chapter 19. Functions and Sets
  605.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  606.    wt: 1:   Postscript B Mathematics Education References
  607.    wt: 1:   Postscript A Three Remarks
  608.    wt: 1:   Chapter 7 Two Treatments of Geometry
  609.    wt: 1:   M Words to extend arithmetic
  610.    wt: 1:   Chapter 6 More Algebra and Geometry
  611.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  612.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  613.    wt: 1:   Chapter 3 Algebra Starter Lessons
  614.    wt: 1:   Mathematics Education References
  615.    wt: 1:   Mathematics Education References
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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