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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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31 matches:

  1.    wt: 8:   8 Unit Circle Trigonometry/
  2.    wt: 7:   5 What is Similarity/
  3.    wt: 7:   1 Maps Plans Measurement/
  4.    wt: 6:   13 Vectors/
  5.    wt: 6:   6 Trigonometry first steps/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  18.    wt: 2:   1 Five Polynomial Operations/
  19.    wt: 2:   8 Arithmetic with Signed Numbers/
  20.    wt: 2:   5 Integers/
  21.    wt: 2:   D Decimal Long Division Methods/
  22.    wt: 2:   Mathematics 506 Lessons/
  23.    wt: 1:   4 Functions/
  24.    wt: 1:   3 Quadratics Geometrically/
  25.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  26.    wt: 1:   More Algebra/
  27.    wt: 1:   8 Unifying Theme For Algebra/
  28.    wt: 1:   5 Real Numbers/
  29.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  30.    wt: 1:   5 Lessons on Integration/
  31.    wt: 1:   Advanced Calculus Volume 3 Appendices/

Web Page Search

76 matches:

  1.    wt: 5:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 4:   4 Polynomials Long division linear divisor
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   4 Angles on Maps Plans drawn to scale
  5.    wt: 2:   3 Lengths and Areas on Maps and Plans
  6.    wt: 2:   E Long Division Methods more
  7.    wt: 2:   D Long Division Methods
  8.    wt: 2:   B Integer Long Division Multiple Choices
  9.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  10.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  11.    wt: 2:   Long Division Backwards more
  12.    wt: 2:   Long Division Backward
  13.    wt: 2:   Long Division forwards and backwards Example 3
  14.    wt: 2:   Long Division forwards and backwards Example 2
  15.    wt: 2:   Long Division forwards and backwards Example 1
  16.    wt: 2:   12 Why Long Division Works Take III
  17.    wt: 2:   10 Division by Five Long and Short Ways
  18.    wt: 2:   9 Why Long Division Works Take II
  19.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  20.    wt: 2:   5 Long Division Include Zeroes or not
  21.    wt: 2:   3 Division Single Digit Divisor Example
  22.    wt: 2:   2 Division with Single Digit Divisors
  23.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  24.    wt: 1:   6 polynomials etc
  25.    wt: 1:   About site lesson plans
  26.    wt: 1:   05 13 OldSiteEntrancePage
  27.    wt: 1:   chapitre 12 00 les iles et division
  28.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  29.    wt: 1:   chapitre 05 00 Deception
  30.    wt: 1:   chapitre 04 08 Limitations et benefices
  31.    wt: 1:   chapitre 04 05 Implication versus suggestion
  32.    wt: 1:   3 Energy Power Heat08
  33.    wt: 1:   E Energy Power05
  34.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  35.    wt: 1:   3 Polynomials Multiplication Addition
  36.    wt: 1:   1 Polynomials Distributive Law
  37.    wt: 1:   13 Velocity Vectors in Physics
  38.    wt: 1:   8 Parallel Vectors
  39.    wt: 1:   6 Vectors with Coordinates
  40.    wt: 1:   3 Navigation with Arrows or Vectors
  41.    wt: 1:   Unit Circle Development of Trigonometry
  42.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  43.    wt: 1:   8 Unit Circle Development of Trigonometry
  44.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  45.    wt: 1:   Why Trigonometry the whyslopes view
  46.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  47.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  48.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  49.    wt: 1:   6 Figuring with Maps Not to Scale
  50.    wt: 1:   19 Signed Multiples of Vectors
  51.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  52.    wt: 1:   13 Arrows and Vectors in a Plane
  53.    wt: 1:   9 Division with Digits after Decimal Point
  54.    wt: 1:   8 Division and Mulplication of Compound Fractions
  55.    wt: 1:   4 Subtraction and Division Axioms
  56.    wt: 1:   15 Real Number Division
  57.    wt: 1:   8 Coordinates for Maps and Planes
  58.    wt: 1:   5 Common Divisors 60 45 via Prime
  59.    wt: 1:   3 signed coordinates for maps and planes
  60.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  61.    wt: 1:   Division with Counts and Length
  62.    wt: 1:   11 Another Single Digit Divisor Example
  63.    wt: 1:   7 Long Divison Mistake Catching
  64.    wt: 1:   4 Division with 2 Digit Divsors
  65.    wt: 1:   012 Division of Time Intervals by Time Intervals
  66.    wt: 1:   011 Division of Time Intervals By Numbers
  67.    wt: 1:   6 How long is a million seconds
  68.    wt: 1:   22 Chain Rule for polynomials
  69.    wt: 1:   8 Differentiation of polynomials
  70.    wt: 1:   Chapter 23 Links To Trigonometry
  71.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  72.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  73.    wt: 1:   Chapter 4 Longer Chains of Reason
  74.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  75.    wt: 1:   Chapter 7 Longer Chains of Reason
  76.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

536 matches:

  1.    wt: 9:   5 Polynomials Long division Nonlinear divisor
  2.    wt: 9:   8 Parallel Vectors
  3.    wt: 9:   11 tangent function undefined when terminal side vertical
  4.    wt: 9:   8 period of tangent function
  5.    wt: 9:   Right Triangle and Unit Circle Trigonometry
  6.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  7.    wt: 9:   4 Angles on Maps Plans drawn to scale
  8.    wt: 9:   3 Lengths and Areas on Maps and Plans
  9.    wt: 8:   6 Vectors with Coordinates
  10.    wt: 8:   17 tangent function angle sum formulas
  11.    wt: 8:   35 sines and cosines of 2A 3A 4A 5A
  12.    wt: 8:   34 sines and cosines of 2A 3A 4A 5A
  13.    wt: 8:   33 sines and cosines of 2A 3A 4A 5A
  14.    wt: 8:   32 seven rows of pascals triangle
  15.    wt: 8:   31 basic secant cosecant cotangent trig identities
  16.    wt: 8:   30 unit circle calculation of six trigonometric functions
  17.    wt: 8:   29 secant cosecant and cotangent for acute angles
  18.    wt: 8:   28 Expressing products of sines cosines as sums
  19.    wt: 8:   27 Logarithmic use of products of sines and cosines
  20.    wt: 8:   26 Formulas for products of sines and cosines
  21.    wt: 8:   25 tangent double angle formula Slope connection
  22.    wt: 8:   24 tangent Angle Difference Formula
  23.    wt: 8:   23 sine and cosine of 180 plus 22.5 degrees
  24.    wt: 8:   22 sine of 22.5 degrees via half angle formulas
  25.    wt: 8:   21 sine and cosine Half Angle Formulas
  26.    wt: 8:   20 sine and cosine Double Angle Formulas
  27.    wt: 8:   19 Pythagorean Identity For sine and cosine functions
  28.    wt: 8:   18 sum of sinusoidal waves as a single wave
  29.    wt: 8:   17G Pythagorean Theorem Converse
  30.    wt: 8:   17F Law of cosines
  31.    wt: 8:   17E Trig Formulas for dot and cross Products
  32.    wt: 8:   17D cis formulas for sine cosines and tangent
  33.    wt: 8:   17C sine and cosine double triple angle formulas
  34.    wt: 8:   17B sine cosine Angle Sum Formulas via cis
  35.    wt: 8:   17A The complex number valued trig function cis
  36.    wt: 8:   16 Right Triangle Complementary Angle Relations
  37.    wt: 8:   15 sine cosine Complementary Angle Relations
  38.    wt: 8:   14 cosine even and sine and tangent are odd
  39.    wt: 8:   13 Graph of tangent function many periods
  40.    wt: 8:   12 Graph of tangent function for one period
  41.    wt: 8:   10 Graphs of sines and cosines many periods
  42.    wt: 8:   9 Graphs of sine and cosine over one period
  43.    wt: 8:   7 period of sine and cosine
  44.    wt: 8:   6 sines and cosines for reference angle 30 degrees
  45.    wt: 8:   5 sines and cosines for reference angle 60 degrees
  46.    wt: 8:   4 sines and cosines for reference angle 45 degrees
  47.    wt: 8:   3 sines and cosines for reference angle 90 degrees
  48.    wt: 8:   2 Quadrant I reference Angles
  49.    wt: 8:   1 Unit Points Reflections Rotations
  50.    wt: 8:   8 Unit Circle Development of Trigonometry
  51.    wt: 8:   8 Similarity of Triangles and Polygons
  52.    wt: 8:   5 Similarity of Circles Squares and Rectangles
  53.    wt: 8:   6 Figuring with Maps Not to Scale
  54.    wt: 8:   5 Drawing to Scale Avoids Angle Distortions
  55.    wt: 7:   4 Polynomials Long division linear divisor
  56.    wt: 7:   13 Velocity Vectors in Physics
  57.    wt: 7:   5 Head To Tail Arrow Addition
  58.    wt: 7:   3 Navigation with Arrows or Vectors
  59.    wt: 7:   5 An Easy Proof of the Distributive Law
  60.    wt: 7:   8 Triangles Cascade Problem Solving
  61.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  62.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  63.    wt: 7:   Why Trigonometry the whyslopes view
  64.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  65.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  66.    wt: 7:   12 Triangles Similarity More Problems
  67.    wt: 7:   11 Triangle Similarity Missing Side Problem
  68.    wt: 7:   10 Similarity of Triangles Equivalent of Two Criteria
  69.    wt: 7:   9 Similarity of Triangles Usual Criteria
  70.    wt: 7:   7 Translations Rotations Reflections Dilatations
  71.    wt: 7:   6 Geometric Diagrams in Class
  72.    wt: 7:   4 Similarity Definition with Coordinate
  73.    wt: 7:   3 Similarity by Design with coordinates
  74.    wt: 7:   2 Similarity By Design
  75.    wt: 7:   1 Early Concept of Like or Similar Shapes
  76.    wt: 7:   8 Mid Point Formula
  77.    wt: 7:   5 Algebraic View of Slopes
  78.    wt: 7:   8 Distance Between Points on a Line
  79.    wt: 7:   5 Cartesian Addition and Translation
  80.    wt: 7:   8 Isoceles Triangles
  81.    wt: 7:   5 Side Angle Side
  82.    wt: 7:   A Measurement with Ruler Proper Use
  83.    wt: 7:   2 Measuring Area Directly
  84.    wt: 7:   1 Length Measurement
  85.    wt: 6:   A Global Time and Navigation
  86.    wt: 6:   15 Dot and Cross Product
  87.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  88.    wt: 6:   12 From Applied To Pure Mathematics
  89.    wt: 6:   11 Component Method
  90.    wt: 6:   10 Parallelogram Addition Method
  91.    wt: 6:   9 Head to Tail Coordinate View
  92.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  93.    wt: 6:   4 Resultant of a Sum of Movements
  94.    wt: 6:   2 Signed Coordinates
  95.    wt: 6:   1 Unsigned Coordinates
  96.    wt: 6:   Vector and Complex Number Applet
  97.    wt: 6:   Parallel Lines and Parallel Transversals
  98.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  99.    wt: 6:   Triangle Angles Sum To 180 Degrees
  100.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
  101.    wt: 6:   Parallel Lines and Interior Angles
  102.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  103.    wt: 6:   7 Trignometric Ratios Unit Circle
  104.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  105.    wt: 6:   3 Trigonometric Ratios sine and cosine
  106.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  107.    wt: 6:   1 Angle Measurement with Degrees
  108.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  109.    wt: 6:   5 Long Division Include Zeroes or not
  110.    wt: 5:   16 cotangent function Definition Graph and Inverse
  111.    wt: 5:   15 cosecant function Definition Graph and Inverse
  112.    wt: 5:   14 secant function Definition Graph and Inverse
  113.    wt: 5:   13 cosecant function Definition Graph and Inverse
  114.    wt: 5:   12 motivation for term arctan
  115.    wt: 5:   11 arctan left inverse of tangent Graph
  116.    wt: 5:   10 arctan left inverse of tangent Definition
  117.    wt: 5:   9 motivation for name arcsin
  118.    wt: 5:   8 arcsin left inverse of sine Graph
  119.    wt: 5:   7 arcsin left inverse of sine Definition
  120.    wt: 5:   6 Graph of arccos function
  121.    wt: 5:   5 Swapping Coordinates is a reflection
  122.    wt: 5:   4 possible motivation for term arccos
  123.    wt: 5:   3 Left Inverse of cosine arccos definition
  124.    wt: 5:   2 cosine function more properties
  125.    wt: 5:   1 cosine function properties
  126.    wt: 5:   9 Summary Degrees to Radians and back
  127.    wt: 5:   8 Radian Measures of Common Angles
  128.    wt: 5:   7 Radian Measures in special Triangles
  129.    wt: 5:   6 Radian Measure to Degrees
  130.    wt: 5:   5 Degrees to Radian Measure
  131.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  132.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  133.    wt: 5:   2 Radian Measure Numerical Value of one degree
  134.    wt: 5:   1 Degrees and Radians Introduction
  135.    wt: 5:   4 graphing y=Asin(x c)
  136.    wt: 5:   3 graphing y=f(x c) plus K
  137.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  138.    wt: 5:   1 graphing y=f(x a)
  139.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  140.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  141.    wt: 5:   Straight Lines ASA Intersection Study More
  142.    wt: 5:   Straight Lines ASA Intersection Study
  143.    wt: 5:   Straight Lines Instersection Solving Equations
  144.    wt: 5:   Straight Lines Intersection of
  145.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  146.    wt: 5:   C Straight Lines Slope from Coordinates
  147.    wt: 5:   B Straight Line Slope Scaling Properties More
  148.    wt: 5:   A Straight Line Slope Scaling Properties
  149.    wt: 5:   14 Straight Lines Equations General Case
  150.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  151.    wt: 5:   12 Straight Lines Graphing mx plus b
  152.    wt: 5:   11 Straight Lines Graphing y=mx
  153.    wt: 5:   10 Straight Lines through Origin Equations More
  154.    wt: 5:   9 Straight Lines through Origin Equations
  155.    wt: 5:   8 Straight Lines Equation for vertical
  156.    wt: 5:   7 Tangent Function is odd on this domain
  157.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  158.    wt: 5:   5 Tangent Function Graph
  159.    wt: 5:   4 Tangent Function Properties
  160.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  161.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  162.    wt: 5:   1 Straight Lines Slope Concept
  163.    wt: 5:   21 Logarithms Powers and Exponentials
  164.    wt: 5:   20 N th Roots of Complex Numbers
  165.    wt: 5:   19 N th Roots of Unity
  166.    wt: 5:   18 Sixth Roots of Unity
  167.    wt: 5:   17 Cube Roots of unity
  168.    wt: 5:   16 References and Originality Question
  169.    wt: 5:   15 Pythagorean Theorem Converse
  170.    wt: 5:   14 Law of cosines
  171.    wt: 5:   13 Trig Formulas for dot and cross Products
  172.    wt: 5:   12 cis formulas for sine cosines and tangent
  173.    wt: 5:   11 sine and cosine double triple angle formulas
  174.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  175.    wt: 5:   9 The complex number valued trig function cis
  176.    wt: 5:   7 Second Way to Calculate Products
  177.    wt: 5:   6 Field Properties of Complex Number
  178.    wt: 5:   4 Multiplication Properties
  179.    wt: 5:   3 Addition Properties
  180.    wt: 5:   2 Complex Numbers made easier we hope
  181.    wt: 5:   1 Rectangular Polar Coordinates Review
  182.    wt: 5:   Appetizer A Complex Number Applet
  183.    wt: 5:   Four Simple Exercises
  184.    wt: 5:   12 Links Lessons elsewhere
  185.    wt: 5:   11 A Partial Summary
  186.    wt: 5:   10 Midpoint of [a b] and [b a]
  187.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  188.    wt: 5:   7 Exercises to test skill and concept mastery
  189.    wt: 5:   6 Intersection of lines by solving linear systems
  190.    wt: 5:   4 Equations for lines three forms
  191.    wt: 5:   3 Slope product for perpendicular lines
  192.    wt: 5:   2 point slope equation for a line
  193.    wt: 5:   1 Numerical view of lines and their equations
  194.    wt: 5:   What is and is not here
  195.    wt: 5:   13 Pythagorean spatial distance formulas
  196.    wt: 5:   12 Spatial Coordinates
  197.    wt: 5:   11 Triangle Inequality
  198.    wt: 5:   10 Pythagorean plane distance formula
  199.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  200.    wt: 5:   7 Complex Numbers Appetizer
  201.    wt: 5:   6 Polar Multiplication and Rotation
  202.    wt: 5:   4 Polar Coordinates to and from
  203.    wt: 5:   3 Rectangular Coordinates Review
  204.    wt: 5:   2 Cartesian Coordinates with signs
  205.    wt: 5:   1 Cartesian Coordinates sans signs
  206.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  207.    wt: 5:   PS H Distributive Law For Complex Numbers
  208.    wt: 5:   PS G Rotation Distributes over Addition
  209.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  210.    wt: 5:   PS E Multiplication with Polar Coordinates
  211.    wt: 5:   PS D Addition with Cartesian Coordinates
  212.    wt: 5:   PS B Parallelogram Construction Methods
  213.    wt: 5:   PS A Kite Construction Methods
  214.    wt: 5:   21 Parallelograms
  215.    wt: 5:   19 Right Triangle Similarity
  216.    wt: 5:   18 Triangle Similarity Take 1
  217.    wt: 5:   17 Right Bisectors of Triangle Sides
  218.    wt: 5:   16 Angles Subtended By Chords and Diameters
  219.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  220.    wt: 5:   14 Parallel Lines Postulate
  221.    wt: 5:   13 Angle Side Angle Failure
  222.    wt: 5:   12 Side Angle Side Failure
  223.    wt: 5:   11 Triangle Construction Fails
  224.    wt: 5:   10 Dropping a perpendicular to line
  225.    wt: 5:   9 Construction of a right bisector
  226.    wt: 5:   7 Angle Side Angle
  227.    wt: 5:   6 Ruler and compass Angle Bisection
  228.    wt: 5:   4 Side Side Side
  229.    wt: 5:   3 Isometry of Triangles Congruence
  230.    wt: 5:   2 Correspondence between Triangles
  231.    wt: 5:   1 Initial Concepts and Terms
  232.    wt: 5:   Short Course on Euclidean Geometry
  233.    wt: 5:   About Folder Contents
  234.    wt: 4:   8 Notes for instructors or tutors
  235.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  236.    wt: 4:   3 Polynomials Multiplication Addition
  237.    wt: 4:   1 Polynomials Distributive Law
  238.    wt: 4:   8 multiplying signed numbers
  239.    wt: 4:   5 lengths and signs of numbers
  240.    wt: 4:   B Integer Long Division Multiple Choices
  241.    wt: 4:   8 Multiplication by Signed Numbers Integers
  242.    wt: 4:   5 Zero Movement and Additive Inverses
  243.    wt: 4:   Long Division Backwards more
  244.    wt: 4:   Long Division Backward
  245.    wt: 4:   Long Division forwards and backwards Example 3
  246.    wt: 4:   Long Division forwards and backwards Example 2
  247.    wt: 4:   Long Division forwards and backwards Example 1
  248.    wt: 4:   12 Why Long Division Works Take III
  249.    wt: 4:   10 Division by Five Long and Short Ways
  250.    wt: 4:   9 Why Long Division Works Take II
  251.    wt: 4:   8 Correcting the Mistake
  252.    wt: 4:   6 Why Decimal Long Division Methods Works Take I
  253.    wt: 4:   3 Division Single Digit Divisor Example
  254.    wt: 4:   2 Division with Single Digit Divisors
  255.    wt: 3:   sign monoticity analysis example 4
  256.    wt: 3:   sign monoticity analysis example 3
  257.    wt: 3:   sign monoticity analysis example 2
  258.    wt: 3:   sign monoticity analysis example 1
  259.    wt: 3:   8 Set view of relations and functions
  260.    wt: 3:   5 Function notation for geometric transformations
  261.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  262.    wt: 3:   5 Natural Logarithm Calculator Exercises
  263.    wt: 3:   7 Links Lessons Elsewhere
  264.    wt: 3:   2 Column Multiplication Method
  265.    wt: 3:   8 Coordinates for Maps and Planes
  266.    wt: 3:   3 signed coordinates for maps and planes
  267.    wt: 3:   Division with Counts and Length
  268.    wt: 3:   11 Another Single Digit Divisor Example
  269.    wt: 3:   7 Long Divison Mistake Catching
  270.    wt: 3:   4 Division with 2 Digit Divsors
  271.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  272.    wt: 2:   Maps Plans Drawings
  273.    wt: 2:   8 The Effect of Negative Remarks
  274.    wt: 2:   5 Patience Please for Yourself and Your Charges
  275.    wt: 2:   8 quadratics backward use of various formulas
  276.    wt: 2:   5 quadratics completing the square
  277.    wt: 2:   8 Division and Mulplication of Compound Fractions
  278.    wt: 2:   E Long Division Methods more
  279.    wt: 2:   D Long Division Methods
  280.    wt: 2:   5 Distributive Law for Whole Numbers
  281.    wt: 2:   5 Proportionality in Equivalent Fractions
  282.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  283.    wt: 2:   5 Triangle Area Formula Backwards
  284.    wt: 2:   15 Real Number Division
  285.    wt: 2:   5 Rational Numbers More
  286.    wt: 2:   5 Gaussian Elimination for 3 unknowns 2nd example
  287.    wt: 2:   5 Algebraic Solutions Introduction
  288.    wt: 2:   8 One Example
  289.    wt: 2:   5 Three Examples
  290.    wt: 2:   11 What are real lengths and numbers
  291.    wt: 2:   10 dividing signed numbers
  292.    wt: 2:   9 subtracting signed numbers
  293.    wt: 2:   7 negative and additive inverse
  294.    wt: 2:   6 adding signed numbers
  295.    wt: 2:   4 signed coordinates for regions in space
  296.    wt: 2:   2 signed and unsigned numbers as coordinates
  297.    wt: 2:   D Remainders Modulo 11 Pair Rule
  298.    wt: 2:   C Divisibility by 11 Integer Recognition Method
  299.    wt: 2:   A Associative Law Theorectical Note
  300.    wt: 2:   13 Subtraction with Additive Inverse
  301.    wt: 2:   12 Adding Integers More Examples
  302.    wt: 2:   11 Adding Integers Formulas and Examples
  303.    wt: 2:   10 Integer Multiplication Formulas
  304.    wt: 2:   9 Multiplying Integers
  305.    wt: 2:   7 Multiplication by Signs
  306.    wt: 2:   6 Multiplication by Natural Numbers
  307.    wt: 2:   4 Adding Movements wiht opposite directions
  308.    wt: 2:   3 Adding Movements with same direction
  309.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  310.    wt: 2:   1 Integers as Coordinates
  311.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  312.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  313.    wt: 2:   8 video Prime Factorization upto 19
  314.    wt: 2:   5 Prime Factorization and a Square Rule
  315.    wt: 2:   1 Divsion Physical Examples
  316.    wt: 2:   5 Decimal Fraction Multiplication
  317.    wt: 2:   8 Subtraction with Units of Measure
  318.    wt: 2:   5 A Tip for Efficent Subtraction
  319.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  320.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  321.    wt: 2:   Example 1 volume of a pyramid
  322.    wt: 2:   Example 1. Area Between x and x squared
  323.    wt: 2:   A Related Material in Volume 3
  324.    wt: 2:   5 Area Under Curve Exercise
  325.    wt: 2:   3 Two Chain Rule Method Exercises
  326.    wt: 2:   8 Differentiation of polynomials
  327.    wt: 2:   8 Four Animated Examples
  328.    wt: 2:   5 Jumps and absence of unlimited error control
  329.    wt: 2:   E2 Algebraic Properties of Limits
  330.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  331.    wt: 2:   PostScript For and Against Decimal Perspectives
  332.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  333.    wt: 1:   8 analytic geometry etc
  334.    wt: 1:   6 polynomials etc
  335.    wt: 1:   5 logarithms and exponentials etc
  336.    wt: 1:   three goals to set for students
  337.    wt: 1:   site origins
  338.    wt: 1:   About site lesson plans
  339.    wt: 1:   Postscript 2007 01 10
  340.    wt: 1:   talk the algebra talk
  341.    wt: 1:   What to Tell Students
  342.    wt: 1:   mathematics curriculum shifts
  343.    wt: 1:   05 13 OldSiteEntrancePage
  344.    wt: 1:   formal or informal peer review
  345.    wt: 1:   Theory of Knowledge
  346.    wt: 1:   mathematics instruction in general
  347.    wt: 1:   need for a mixed mathematics curriculum
  348.    wt: 1:   words for mathematics instructor
  349.    wt: 1:   chapitre 12 00 les iles et division
  350.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  351.    wt: 1:   chapitre 05 00 Deception
  352.    wt: 1:   chapitre 04 08 Limitations et benefices
  353.    wt: 1:   chapitre 04 05 Implication versus suggestion
  354.    wt: 1:   Trois Notions qui menent a algebre
  355.    wt: 1:   3 Energy Power Heat08
  356.    wt: 1:   E Energy Power05
  357.    wt: 1:   2 Unlike resistors in parallel01
  358.    wt: 1:   G Series Circuit01
  359.    wt: 1:   D Kirchoff First Law
  360.    wt: 1:   Ages 8 to 9
  361.    wt: 1:   Ages 6 to 7
  362.    wt: 1:   26 Function definitions done and coming
  363.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  364.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  365.    wt: 1:   23 Inverse Functions
  366.    wt: 1:   22 Square Root function graphically
  367.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  368.    wt: 1:   20 Interchanging coordinates a reflection
  369.    wt: 1:   19 Horizontal line rule and method
  370.    wt: 1:   18 Vertical Line Rule and Method
  371.    wt: 1:   17 Function maxima minima and their location
  372.    wt: 1:   16 Increasing or decreasing on intervals
  373.    wt: 1:   15 Sign analysis of functions
  374.    wt: 1:   14 Surjections Injections Bijections
  375.    wt: 1:   13 From one to one to many to one
  376.    wt: 1:   12 Function Domain Recognition Exercises
  377.    wt: 1:   11 Function Domain Range Source and Targets
  378.    wt: 1:   10 Interval Notation
  379.    wt: 1:   9 Set theory term relation possible origins
  380.    wt: 1:   7 Functions with finite domains
  381.    wt: 1:   6 Set Existence Formation and Notation
  382.    wt: 1:   4 Function notation in and beyond mathematics
  383.    wt: 1:   3 Formula or function graphing exercise
  384.    wt: 1:   2 Algebraic use of function notation
  385.    wt: 1:   1 Geometric Introduction of Function Notation
  386.    wt: 1:   Introduction Reading Guide
  387.    wt: 1:   A Quadratics Summary
  388.    wt: 1:   10 quadratic exercises
  389.    wt: 1:   9 quadratics physical and further context
  390.    wt: 1:   7 quadratic formulla derivation
  391.    wt: 1:   6 quadratics numerical approach
  392.    wt: 1:   4 quadratics difference of two squares
  393.    wt: 1:   3 quadratics factoring by inspection
  394.    wt: 1:   2 quadratics graphing in general
  395.    wt: 1:   1 quadratics graphing exercises
  396.    wt: 1:   Quadratics in 10 steps
  397.    wt: 1:   11 Growth and Decay in Biology
  398.    wt: 1:   10 Exponential Growth and Decay Models
  399.    wt: 1:   9 Formulas for Real Exponents with Logarithms
  400.    wt: 1:   7 Formulas for Roots with Logarithms Derivation
  401.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  402.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  403.    wt: 1:   2 Square Root Simplification a prequel
  404.    wt: 1:   1 Calculator Starter Exercises
  405.    wt: 1:   Rewriting algebraic substitution as function substitutions
  406.    wt: 1:   19 Signed Multiples of Vectors
  407.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  408.    wt: 1:   13 Arrows and Vectors in a Plane
  409.    wt: 1:   9 Division with Digits after Decimal Point
  410.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  411.    wt: 1:   8 Column Multiplication Methods in General
  412.    wt: 1:   5 Areas of Rectangles Revisited
  413.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  414.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  415.    wt: 1:   6 Compound Interest Forward and Backwards
  416.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  417.    wt: 1:   3 Linear Equation Literal Solution More
  418.    wt: 1:   2 Linear Equation Literal Solution
  419.    wt: 1:   1 Changing Calculations
  420.    wt: 1:   5 Equality in Algebra
  421.    wt: 1:   4 Subtraction and Division Axioms
  422.    wt: 1:   5 Greater More Less Than Signs in General
  423.    wt: 1:   16 Real Numbers Comparison
  424.    wt: 1:   14 Real Number Multiplication
  425.    wt: 1:   13 Real Number Subtraction
  426.    wt: 1:   12 Real Number Additive Inverses or Negatives
  427.    wt: 1:   11 Real Number Addition
  428.    wt: 1:   10 Real Number Lengths and Signs
  429.    wt: 1:   9 Coordinates for Regions in Space
  430.    wt: 1:   7 Real Numbers as Line Cordinates
  431.    wt: 1:   6 Unsigned Real Numbers
  432.    wt: 1:   4 Rational Numbers
  433.    wt: 1:   3 Fractions
  434.    wt: 1:   2 Integers
  435.    wt: 1:   1 Whole and Natural Numbers
  436.    wt: 1:   5 Independent versus Dependent Variables
  437.    wt: 1:   More Exercises
  438.    wt: 1:   8 Compound Interest Formula Evaluation
  439.    wt: 1:   5 Box Volume Formula Example
  440.    wt: 1:   8 Sets of Numbers
  441.    wt: 1:   5 Product Builder Notation
  442.    wt: 1:   5 Talking about Numbers and Quantities
  443.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  444.    wt: 1:   5 Common Divisors 60 45 via Prime
  445.    wt: 1:   1 Least Common Multiples LCM Introduction
  446.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  447.    wt: 1:   14 Adding and Subtracting with Like Denominators
  448.    wt: 1:   5 Equivalent Fractions
  449.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  450.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  451.    wt: 1:   26 Divisibility by 2 3 5 Example
  452.    wt: 1:   B Powers of Ten
  453.    wt: 1:   8 What skills and work habits to require
  454.    wt: 1:   5. How to add decimals C. Examples
  455.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  456.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  457.    wt: 1:   012 Division of Time Intervals by Time Intervals
  458.    wt: 1:   011 Division of Time Intervals By Numbers
  459.    wt: 1:   8 Addition of Time Intervals via subtotaling
  460.    wt: 1:   6 How long is a million seconds
  461.    wt: 1:   5 Conversion Arithmetic
  462.    wt: 1:   Example 2 volume of a cone
  463.    wt: 1:   Volume of Solid by Cross Sections Lesson
  464.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  465.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  466.    wt: 1:   Example 4 with x function of y
  467.    wt: 1:   Example 3
  468.    wt: 1:   Example 2
  469.    wt: 1:   Example 1
  470.    wt: 1:   Area Between Curves Lesson Take 2
  471.    wt: 1:   Area Between Curves Lesson Take 1
  472.    wt: 1:   Summary
  473.    wt: 1:   4 Definite Integrals Evaluation Exercises
  474.    wt: 1:   2 Indefinite Integrals Exercises
  475.    wt: 1:   1 Chain Rule in Reverse Integration Method
  476.    wt: 1:   4 Second derivative test exercise example
  477.    wt: 1:   34 Derivative of exponential function
  478.    wt: 1:   33 Chain Rule Real Player video examples
  479.    wt: 1:   31 Derivatives of inverse functions
  480.    wt: 1:   30Chain Rule A Proof
  481.    wt: 1:   29 Chain Rule Optional Reading
  482.    wt: 1:   28 Chain Rule Preparation for a Proof
  483.    wt: 1:   22 Chain Rule for polynomials
  484.    wt: 1:   17 Derivatives of quotients of sine and cosine
  485.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  486.    wt: 1:   15 sine and cosine derivatives 3rd step
  487.    wt: 1:   5 Product Rule
  488.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  489.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  490.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  491.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  492.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  493.    wt: 1:   G.5 Motions With Bounded Velocities
  494.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  495.    wt: 1:   G.3 Constant Difference Theorem Proof
  496.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  497.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  498.    wt: 1:   F.5b Extreme Value Theorem
  499.    wt: 1:   F.5a Equicontinuity Theorems
  500.    wt: 1:   F.4 Finite Covering Theorem
  501.    wt: 1:   F.3 Intermediate Value Theorem
  502.    wt: 1:   F.2 Closed Range Theorem
  503.    wt: 1:   F.1 What Functions are Continuous
  504.    wt: 1:   E1 Error Control Inequalities
  505.    wt: 1:   D2 Limits of Monotone Sequences
  506.    wt: 1:   C Triangle Inequalities
  507.    wt: 1:   B3 Bolzano Weierstrass Theorem
  508.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  509.    wt: 1:   A1. Introduction
  510.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  511.    wt: 1:   Chapter 23 Links To Trigonometry
  512.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  513.    wt: 1:   Chapter 8. Slope Interpretation
  514.    wt: 1:   Chapter 5. Slope Sign Tests
  515.    wt: 1:   Chapter 8 Three Skills For Algebra
  516.    wt: 1:   Chapter 4 Longer Chains of Reason
  517.    wt: 1:   Chapter 8 Modern Instruction
  518.    wt: 1:   Chapter 5 Four References
  519.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  520.    wt: 1:   Chapter 8 Change of Language
  521.    wt: 1:   Chapter 7 Longer Chains of Reason
  522.    wt: 1:   Chapter 5 Deception
  523.    wt: 1:   H more Routine to non routine problem solving
  524.    wt: 1:   H Jigsaw puzzles and problem solving
  525.    wt: 1:   E. When and how to correct errors
  526.    wt: 1:   Chapter 8 Skipped Topics and Why
  527.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  528.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  529.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  530.    wt: 1:   More Algebra and Slope based Calculus Preview
  531.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  532.    wt: 1:   Which Way To Go
  533.    wt: 1:   Road Safety Questions
  534.    wt: 1:   The Math Forum and Site Content
  535.    wt: 1:   Site Reviews
  536.    wt: 10:   Unit Circle Development of Trigonometry
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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