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 thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. 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. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may 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. Reform: look before you leap - plan all in detail first.

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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16 matches:

  1.    wt: 7:   3 Cartesian and Polar Coordinates/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   8 Unit Circle Trigonometry/
  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:   5 What is Similarity/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/

Web Page Search

48 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   6 Vectors with Coordinates
  3.    wt: 2:   1 Rectangular Polar Coordinates Review
  4.    wt: 2:   4 Polar Coordinates to and from
  5.    wt: 2:   PS E Multiplication with Polar Coordinates
  6.    wt: 2:   4 Angles on Maps Plans drawn to scale
  7.    wt: 2:   3 Lengths and Areas on Maps and Plans
  8.    wt: 2:   8 Coordinates for Maps and Planes
  9.    wt: 2:   3 signed coordinates for maps and planes
  10.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  11.    wt: 1:   About site lesson plans
  12.    wt: 1:   20 Interchanging coordinates a reflection
  13.    wt: 1:   5 Swapping Coordinates is a reflection
  14.    wt: 1:   13 Velocity Vectors in Physics
  15.    wt: 1:   8 Parallel Vectors
  16.    wt: 1:   3 Navigation with Arrows or Vectors
  17.    wt: 1:   2 Signed Coordinates
  18.    wt: 1:   1 Unsigned Coordinates
  19.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  20.    wt: 1:   C Straight Lines Slope from Coordinates
  21.    wt: 1:   Unit Circle Development of Trigonometry
  22.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  23.    wt: 1:   8 Unit Circle Development of Trigonometry
  24.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  25.    wt: 1:   Why Trigonometry the whyslopes view
  26.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  27.    wt: 1:   3 Similarity by Design with coordinates
  28.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  29.    wt: 1:   12 Spatial Coordinates
  30.    wt: 1:   6 Polar Multiplication and Rotation
  31.    wt: 1:   3 Rectangular Coordinates Review
  32.    wt: 1:   2 Cartesian Coordinates with signs
  33.    wt: 1:   1 Cartesian Coordinates sans signs
  34.    wt: 1:   PS D Addition with Cartesian Coordinates
  35.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  36.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  37.    wt: 1:   6 Figuring with Maps Not to Scale
  38.    wt: 1:   19 Signed Multiples of Vectors
  39.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  40.    wt: 1:   13 Arrows and Vectors in a Plane
  41.    wt: 1:   12 Real Numbers Line Signed Coordinates
  42.    wt: 1:   9 Coordinates for Regions in Space
  43.    wt: 1:   4 signed coordinates for regions in space
  44.    wt: 1:   2 signed and unsigned numbers as coordinates
  45.    wt: 1:   1 Integers as Coordinates
  46.    wt: 1:   Chapter 23 Links To Trigonometry
  47.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  48.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

248 matches:

  1.    wt: 9:   4 Polar Coordinates to and from
  2.    wt: 9:   4 Angles on Maps Plans drawn to scale
  3.    wt: 9:   3 Lengths and Areas on Maps and Plans
  4.    wt: 8:   6 Vectors with Coordinates
  5.    wt: 8:   12 Spatial Coordinates
  6.    wt: 8:   6 Polar Multiplication and Rotation
  7.    wt: 8:   3 Rectangular Coordinates Review
  8.    wt: 8:   2 Cartesian Coordinates with signs
  9.    wt: 8:   1 Cartesian Coordinates sans signs
  10.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  11.    wt: 8:   6 Figuring with Maps Not to Scale
  12.    wt: 7:   13 Velocity Vectors in Physics
  13.    wt: 7:   8 Parallel Vectors
  14.    wt: 7:   3 Navigation with Arrows or Vectors
  15.    wt: 7:   2 Signed Coordinates
  16.    wt: 7:   1 Unsigned Coordinates
  17.    wt: 7:   Unit Circle Development of Trigonometry
  18.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  19.    wt: 7:   1 Rectangular Polar Coordinates Review
  20.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  21.    wt: 7:   Why Trigonometry the whyslopes view
  22.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  23.    wt: 7:   13 Pythagorean spatial distance formulas
  24.    wt: 7:   11 Triangle Inequality
  25.    wt: 7:   10 Pythagorean plane distance formula
  26.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  27.    wt: 7:   8 Distance Between Points on a Line
  28.    wt: 7:   7 Complex Numbers Appetizer
  29.    wt: 7:   5 Cartesian Addition and Translation
  30.    wt: 7:   PS E Multiplication with Polar Coordinates
  31.    wt: 7:   A Measurement with Ruler Proper Use
  32.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  33.    wt: 7:   2 Measuring Area Directly
  34.    wt: 7:   1 Length Measurement
  35.    wt: 6:   5 Swapping Coordinates is a reflection
  36.    wt: 6:   A Global Time and Navigation
  37.    wt: 6:   15 Dot and Cross Product
  38.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  39.    wt: 6:   12 From Applied To Pure Mathematics
  40.    wt: 6:   11 Component Method
  41.    wt: 6:   10 Parallelogram Addition Method
  42.    wt: 6:   9 Head to Tail Coordinate View
  43.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  44.    wt: 6:   5 Head To Tail Arrow Addition
  45.    wt: 6:   4 Resultant of a Sum of Movements
  46.    wt: 6:   Vector and Complex Number Applet
  47.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  48.    wt: 6:   C Straight Lines Slope from Coordinates
  49.    wt: 6:   17 tangent function angle sum formulas
  50.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  51.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  52.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  53.    wt: 6:   32 seven rows of pascals triangle
  54.    wt: 6:   31 basic secant cosecant cotangent trig identities
  55.    wt: 6:   30 unit circle calculation of six trigonometric functions
  56.    wt: 6:   29 secant cosecant and cotangent for acute angles
  57.    wt: 6:   28 Expressing products of sines cosines as sums
  58.    wt: 6:   27 Logarithmic use of products of sines and cosines
  59.    wt: 6:   26 Formulas for products of sines and cosines
  60.    wt: 6:   25 tangent double angle formula Slope connection
  61.    wt: 6:   24 tangent Angle Difference Formula
  62.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  63.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  64.    wt: 6:   21 sine and cosine Half Angle Formulas
  65.    wt: 6:   20 sine and cosine Double Angle Formulas
  66.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  67.    wt: 6:   18 sum of sinusoidal waves as a single wave
  68.    wt: 6:   17G Pythagorean Theorem Converse
  69.    wt: 6:   17F Law of cosines
  70.    wt: 6:   17E Trig Formulas for dot and cross Products
  71.    wt: 6:   17D cis formulas for sine cosines and tangent
  72.    wt: 6:   17C sine and cosine double triple angle formulas
  73.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  74.    wt: 6:   17A The complex number valued trig function cis
  75.    wt: 6:   16 Right Triangle Complementary Angle Relations
  76.    wt: 6:   15 sine cosine Complementary Angle Relations
  77.    wt: 6:   14 cosine even and sine and tangent are odd
  78.    wt: 6:   13 Graph of tangent function many periods
  79.    wt: 6:   12 Graph of tangent function for one period
  80.    wt: 6:   11 tangent function undefined when terminal side vertical
  81.    wt: 6:   10 Graphs of sines and cosines many periods
  82.    wt: 6:   9 Graphs of sine and cosine over one period
  83.    wt: 6:   8 period of tangent function
  84.    wt: 6:   7 period of sine and cosine
  85.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  86.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  87.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  88.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  89.    wt: 6:   2 Quadrant I reference Angles
  90.    wt: 6:   1 Unit Points Reflections Rotations
  91.    wt: 6:   8 Unit Circle Development of Trigonometry
  92.    wt: 6:   8 Triangles Cascade Problem Solving
  93.    wt: 6:   7 Trignometric Ratios Unit Circle
  94.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  95.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  96.    wt: 6:   3 Trigonometric Ratios sine and cosine
  97.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  98.    wt: 6:   1 Angle Measurement with Degrees
  99.    wt: 6:   3 Similarity by Design with coordinates
  100.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  101.    wt: 6:   PS D Addition with Cartesian Coordinates
  102.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  103.    wt: 5:   16 cotangent function Definition Graph and Inverse
  104.    wt: 5:   15 cosecant function Definition Graph and Inverse
  105.    wt: 5:   14 secant function Definition Graph and Inverse
  106.    wt: 5:   13 cosecant function Definition Graph and Inverse
  107.    wt: 5:   12 motivation for term arctan
  108.    wt: 5:   11 arctan left inverse of tangent Graph
  109.    wt: 5:   10 arctan left inverse of tangent Definition
  110.    wt: 5:   9 motivation for name arcsin
  111.    wt: 5:   8 arcsin left inverse of sine Graph
  112.    wt: 5:   7 arcsin left inverse of sine Definition
  113.    wt: 5:   6 Graph of arccos function
  114.    wt: 5:   4 possible motivation for term arccos
  115.    wt: 5:   3 Left Inverse of cosine arccos definition
  116.    wt: 5:   2 cosine function more properties
  117.    wt: 5:   1 cosine function properties
  118.    wt: 5:   9 Summary Degrees to Radians and back
  119.    wt: 5:   8 Radian Measures of Common Angles
  120.    wt: 5:   7 Radian Measures in special Triangles
  121.    wt: 5:   6 Radian Measure to Degrees
  122.    wt: 5:   5 Degrees to Radian Measure
  123.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  124.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  125.    wt: 5:   2 Radian Measure Numerical Value of one degree
  126.    wt: 5:   1 Degrees and Radians Introduction
  127.    wt: 5:   4 graphing y=Asin(x c)
  128.    wt: 5:   3 graphing y=f(x c) plus K
  129.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  130.    wt: 5:   1 graphing y=f(x a)
  131.    wt: 5:   Parallel Lines and Parallel Transversals
  132.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  133.    wt: 5:   Triangle Angles Sum To 180 Degrees
  134.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  135.    wt: 5:   Parallel Lines and Interior Angles
  136.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  137.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  138.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  139.    wt: 5:   Straight Lines ASA Intersection Study More
  140.    wt: 5:   Straight Lines ASA Intersection Study
  141.    wt: 5:   Straight Lines Instersection Solving Equations
  142.    wt: 5:   Straight Lines Intersection of
  143.    wt: 5:   B Straight Line Slope Scaling Properties More
  144.    wt: 5:   A Straight Line Slope Scaling Properties
  145.    wt: 5:   14 Straight Lines Equations General Case
  146.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  147.    wt: 5:   12 Straight Lines Graphing mx plus b
  148.    wt: 5:   11 Straight Lines Graphing y=mx
  149.    wt: 5:   10 Straight Lines through Origin Equations More
  150.    wt: 5:   9 Straight Lines through Origin Equations
  151.    wt: 5:   8 Straight Lines Equation for vertical
  152.    wt: 5:   7 Tangent Function is odd on this domain
  153.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  154.    wt: 5:   5 Tangent Function Graph
  155.    wt: 5:   4 Tangent Function Properties
  156.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  157.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  158.    wt: 5:   1 Straight Lines Slope Concept
  159.    wt: 5:   21 Logarithms Powers and Exponentials
  160.    wt: 5:   20 N th Roots of Complex Numbers
  161.    wt: 5:   19 N th Roots of Unity
  162.    wt: 5:   18 Sixth Roots of Unity
  163.    wt: 5:   17 Cube Roots of unity
  164.    wt: 5:   16 References and Originality Question
  165.    wt: 5:   15 Pythagorean Theorem Converse
  166.    wt: 5:   14 Law of cosines
  167.    wt: 5:   13 Trig Formulas for dot and cross Products
  168.    wt: 5:   12 cis formulas for sine cosines and tangent
  169.    wt: 5:   11 sine and cosine double triple angle formulas
  170.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  171.    wt: 5:   9 The complex number valued trig function cis
  172.    wt: 5:   7 Second Way to Calculate Products
  173.    wt: 5:   6 Field Properties of Complex Number
  174.    wt: 5:   5 An Easy Proof of the Distributive Law
  175.    wt: 5:   4 Multiplication Properties
  176.    wt: 5:   3 Addition Properties
  177.    wt: 5:   2 Complex Numbers made easier we hope
  178.    wt: 5:   Appetizer A Complex Number Applet
  179.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  180.    wt: 5:   12 Triangles Similarity More Problems
  181.    wt: 5:   11 Triangle Similarity Missing Side Problem
  182.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  183.    wt: 5:   9 Similarity of Triangles Usual Criteria
  184.    wt: 5:   8 Similarity of Triangles and Polygons
  185.    wt: 5:   7 Translations Rotations Reflections Dilatations
  186.    wt: 5:   6 Geometric Diagrams in Class
  187.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  188.    wt: 5:   4 Similarity Definition with Coordinate
  189.    wt: 5:   2 Similarity By Design
  190.    wt: 5:   1 Early Concept of Like or Similar Shapes
  191.    wt: 5:   Four Simple Exercises
  192.    wt: 5:   12 Links Lessons elsewhere
  193.    wt: 5:   11 A Partial Summary
  194.    wt: 5:   10 Midpoint of [a b] and [b a]
  195.    wt: 5:   8 Mid Point Formula
  196.    wt: 5:   7 Exercises to test skill and concept mastery
  197.    wt: 5:   6 Intersection of lines by solving linear systems
  198.    wt: 5:   5 Algebraic View of Slopes
  199.    wt: 5:   4 Equations for lines three forms
  200.    wt: 5:   3 Slope product for perpendicular lines
  201.    wt: 5:   2 point slope equation for a line
  202.    wt: 5:   1 Numerical view of lines and their equations
  203.    wt: 5:   What is and is not here
  204.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  205.    wt: 5:   PS H Distributive Law For Complex Numbers
  206.    wt: 5:   PS G Rotation Distributes over Addition
  207.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  208.    wt: 5:   PS B Parallelogram Construction Methods
  209.    wt: 5:   PS A Kite Construction Methods
  210.    wt: 5:   21 Parallelograms
  211.    wt: 5:   19 Right Triangle Similarity
  212.    wt: 5:   18 Triangle Similarity Take 1
  213.    wt: 5:   17 Right Bisectors of Triangle Sides
  214.    wt: 5:   16 Angles Subtended By Chords and Diameters
  215.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  216.    wt: 5:   14 Parallel Lines Postulate
  217.    wt: 5:   13 Angle Side Angle Failure
  218.    wt: 5:   12 Side Angle Side Failure
  219.    wt: 5:   11 Triangle Construction Fails
  220.    wt: 5:   10 Dropping a perpendicular to line
  221.    wt: 5:   9 Construction of a right bisector
  222.    wt: 5:   8 Isoceles Triangles
  223.    wt: 5:   7 Angle Side Angle
  224.    wt: 5:   6 Ruler and compass Angle Bisection
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   1 Initial Concepts and Terms
  230.    wt: 5:   Short Course on Euclidean Geometry
  231.    wt: 5:   About Folder Contents
  232.    wt: 2:   Maps Plans Drawings
  233.    wt: 2:   8 Coordinates for Maps and Planes
  234.    wt: 2:   3 signed coordinates for maps and planes
  235.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  236.    wt: 1:   About site lesson plans
  237.    wt: 1:   20 Interchanging coordinates a reflection
  238.    wt: 1:   19 Signed Multiples of Vectors
  239.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  240.    wt: 1:   13 Arrows and Vectors in a Plane
  241.    wt: 1:   12 Real Numbers Line Signed Coordinates
  242.    wt: 1:   9 Coordinates for Regions in Space
  243.    wt: 1:   4 signed coordinates for regions in space
  244.    wt: 1:   2 signed and unsigned numbers as coordinates
  245.    wt: 1:   1 Integers as Coordinates
  246.    wt: 1:   Chapter 23 Links To Trigonometry
  247.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  248.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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