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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16 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 6:   3 Cartesian and Polar Coordinates/
  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

47 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   4 Angles on Maps Plans drawn to scale
  3.    wt: 2:   3 Lengths and Areas on Maps and Plans
  4.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  5.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  6.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  7.    wt: 1:   About site lesson plans
  8.    wt: 1:   13 Velocity Vectors in Physics
  9.    wt: 1:   8 Parallel Vectors
  10.    wt: 1:   6 Vectors with Coordinates
  11.    wt: 1:   3 Navigation with Arrows or Vectors
  12.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  13.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  14.    wt: 1:   1 Unit Points Reflections Rotations
  15.    wt: 1:   Unit Circle Development of Trigonometry
  16.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  18.    wt: 1:   8 Unit Circle Development of Trigonometry
  19.    wt: 1:   1 Rectangular Polar Coordinates Review
  20.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  21.    wt: 1:   Why Trigonometry the whyslopes view
  22.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  23.    wt: 1:   7 Translations Rotations Reflections Dilatations
  24.    wt: 1:   6 Polar Multiplication and Rotation
  25.    wt: 1:   4 Polar Coordinates to and from
  26.    wt: 1:   PS E Multiplication with Polar Coordinates
  27.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  28.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  29.    wt: 1:   6 Figuring with Maps Not to Scale
  30.    wt: 1:   19 Signed Multiples of Vectors
  31.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  32.    wt: 1:   13 Arrows and Vectors in a Plane
  33.    wt: 1:   8 Coordinates for Maps and Planes
  34.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  35.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  36.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  37.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  38.    wt: 1:   5 Common Divisors 60 45 via Prime
  39.    wt: 1:   4 LCM of 8 and 10 via Prime
  40.    wt: 1:   2 Least Common Multiple LCM intro via list method
  41.    wt: 1:   12 GCD 2700 288 via Prime
  42.    wt: 1:   3 signed coordinates for maps and planes
  43.    wt: 1:   8 Addition of Time Intervals via subtotaling
  44.    wt: 1:   Chapter 23 Links To Trigonometry
  45.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  46.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  47.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

254 matches:

  1.    wt: 9:   4 Angles on Maps Plans drawn to scale
  2.    wt: 9:   3 Lengths and Areas on Maps and Plans
  3.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  4.    wt: 8:   6 Figuring with Maps Not to Scale
  5.    wt: 7:   13 Velocity Vectors in Physics
  6.    wt: 7:   8 Parallel Vectors
  7.    wt: 7:   6 Vectors with Coordinates
  8.    wt: 7:   3 Navigation with Arrows or Vectors
  9.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  10.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
  11.    wt: 7:   1 Unit Points Reflections Rotations
  12.    wt: 7:   Unit Circle Development of Trigonometry
  13.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  14.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  15.    wt: 7:   Why Trigonometry the whyslopes view
  16.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  17.    wt: 7:   6 Polar Multiplication and Rotation
  18.    wt: 7:   4 Polar Coordinates to and from
  19.    wt: 7:   A Measurement with Ruler Proper Use
  20.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  21.    wt: 7:   2 Measuring Area Directly
  22.    wt: 7:   1 Length Measurement
  23.    wt: 6:   A Global Time and Navigation
  24.    wt: 6:   15 Dot and Cross Product
  25.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  26.    wt: 6:   12 From Applied To Pure Mathematics
  27.    wt: 6:   11 Component Method
  28.    wt: 6:   10 Parallelogram Addition Method
  29.    wt: 6:   9 Head to Tail Coordinate View
  30.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  31.    wt: 6:   5 Head To Tail Arrow Addition
  32.    wt: 6:   4 Resultant of a Sum of Movements
  33.    wt: 6:   2 Signed Coordinates
  34.    wt: 6:   1 Unsigned Coordinates
  35.    wt: 6:   Vector and Complex Number Applet
  36.    wt: 6:   17 tangent function angle sum formulas
  37.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  38.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 6:   32 seven rows of pascals triangle
  41.    wt: 6:   31 basic secant cosecant cotangent trig identities
  42.    wt: 6:   30 unit circle calculation of six trigonometric functions
  43.    wt: 6:   29 secant cosecant and cotangent for acute angles
  44.    wt: 6:   28 Expressing products of sines cosines as sums
  45.    wt: 6:   27 Logarithmic use of products of sines and cosines
  46.    wt: 6:   26 Formulas for products of sines and cosines
  47.    wt: 6:   25 tangent double angle formula Slope connection
  48.    wt: 6:   24 tangent Angle Difference Formula
  49.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  50.    wt: 6:   21 sine and cosine Half Angle Formulas
  51.    wt: 6:   20 sine and cosine Double Angle Formulas
  52.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  53.    wt: 6:   18 sum of sinusoidal waves as a single wave
  54.    wt: 6:   17G Pythagorean Theorem Converse
  55.    wt: 6:   17F Law of cosines
  56.    wt: 6:   17E Trig Formulas for dot and cross Products
  57.    wt: 6:   17D cis formulas for sine cosines and tangent
  58.    wt: 6:   17C sine and cosine double triple angle formulas
  59.    wt: 6:   17A The complex number valued trig function cis
  60.    wt: 6:   16 Right Triangle Complementary Angle Relations
  61.    wt: 6:   15 sine cosine Complementary Angle Relations
  62.    wt: 6:   14 cosine even and sine and tangent are odd
  63.    wt: 6:   13 Graph of tangent function many periods
  64.    wt: 6:   12 Graph of tangent function for one period
  65.    wt: 6:   11 tangent function undefined when terminal side vertical
  66.    wt: 6:   10 Graphs of sines and cosines many periods
  67.    wt: 6:   9 Graphs of sine and cosine over one period
  68.    wt: 6:   8 period of tangent function
  69.    wt: 6:   7 period of sine and cosine
  70.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  71.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  72.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  73.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  74.    wt: 6:   2 Quadrant I reference Angles
  75.    wt: 6:   10 sine cosine Angle Sum Formulas via cis
  76.    wt: 6:   8 Unit Circle Development of Trigonometry
  77.    wt: 6:   1 Rectangular Polar Coordinates Review
  78.    wt: 6:   8 Triangles Cascade Problem Solving
  79.    wt: 6:   7 Trignometric Ratios Unit Circle
  80.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  81.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  82.    wt: 6:   3 Trigonometric Ratios sine and cosine
  83.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  84.    wt: 6:   1 Angle Measurement with Degrees
  85.    wt: 6:   7 Translations Rotations Reflections Dilatations
  86.    wt: 6:   13 Pythagorean spatial distance formulas
  87.    wt: 6:   12 Spatial Coordinates
  88.    wt: 6:   11 Triangle Inequality
  89.    wt: 6:   10 Pythagorean plane distance formula
  90.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  91.    wt: 6:   8 Distance Between Points on a Line
  92.    wt: 6:   7 Complex Numbers Appetizer
  93.    wt: 6:   5 Cartesian Addition and Translation
  94.    wt: 6:   3 Rectangular Coordinates Review
  95.    wt: 6:   2 Cartesian Coordinates with signs
  96.    wt: 6:   1 Cartesian Coordinates sans signs
  97.    wt: 6:   PS E Multiplication with Polar Coordinates
  98.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  99.    wt: 5:   16 cotangent function Definition Graph and Inverse
  100.    wt: 5:   15 cosecant function Definition Graph and Inverse
  101.    wt: 5:   14 secant function Definition Graph and Inverse
  102.    wt: 5:   13 cosecant function Definition Graph and Inverse
  103.    wt: 5:   12 motivation for term arctan
  104.    wt: 5:   11 arctan left inverse of tangent Graph
  105.    wt: 5:   10 arctan left inverse of tangent Definition
  106.    wt: 5:   9 motivation for name arcsin
  107.    wt: 5:   8 arcsin left inverse of sine Graph
  108.    wt: 5:   7 arcsin left inverse of sine Definition
  109.    wt: 5:   6 Graph of arccos function
  110.    wt: 5:   5 Swapping Coordinates is a reflection
  111.    wt: 5:   4 possible motivation for term arccos
  112.    wt: 5:   3 Left Inverse of cosine arccos definition
  113.    wt: 5:   2 cosine function more properties
  114.    wt: 5:   1 cosine function properties
  115.    wt: 5:   9 Summary Degrees to Radians and back
  116.    wt: 5:   8 Radian Measures of Common Angles
  117.    wt: 5:   7 Radian Measures in special Triangles
  118.    wt: 5:   6 Radian Measure to Degrees
  119.    wt: 5:   5 Degrees to Radian Measure
  120.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  121.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  122.    wt: 5:   2 Radian Measure Numerical Value of one degree
  123.    wt: 5:   1 Degrees and Radians Introduction
  124.    wt: 5:   4 graphing y=Asin(x c)
  125.    wt: 5:   3 graphing y=f(x c) plus K
  126.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  127.    wt: 5:   1 graphing y=f(x a)
  128.    wt: 5:   Parallel Lines and Parallel Transversals
  129.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  130.    wt: 5:   Triangle Angles Sum To 180 Degrees
  131.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  132.    wt: 5:   Parallel Lines and Interior Angles
  133.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  134.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  135.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  136.    wt: 5:   Straight Lines ASA Intersection Study More
  137.    wt: 5:   Straight Lines ASA Intersection Study
  138.    wt: 5:   Straight Lines Instersection Solving Equations
  139.    wt: 5:   Straight Lines Intersection of
  140.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  141.    wt: 5:   C Straight Lines Slope from Coordinates
  142.    wt: 5:   B Straight Line Slope Scaling Properties More
  143.    wt: 5:   A Straight Line Slope Scaling Properties
  144.    wt: 5:   14 Straight Lines Equations General Case
  145.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  146.    wt: 5:   12 Straight Lines Graphing mx plus b
  147.    wt: 5:   11 Straight Lines Graphing y=mx
  148.    wt: 5:   10 Straight Lines through Origin Equations More
  149.    wt: 5:   9 Straight Lines through Origin Equations
  150.    wt: 5:   8 Straight Lines Equation for vertical
  151.    wt: 5:   7 Tangent Function is odd on this domain
  152.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  153.    wt: 5:   5 Tangent Function Graph
  154.    wt: 5:   4 Tangent Function Properties
  155.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  156.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  157.    wt: 5:   1 Straight Lines Slope Concept
  158.    wt: 5:   21 Logarithms Powers and Exponentials
  159.    wt: 5:   20 N th Roots of Complex Numbers
  160.    wt: 5:   19 N th Roots of Unity
  161.    wt: 5:   18 Sixth Roots of Unity
  162.    wt: 5:   17 Cube Roots of unity
  163.    wt: 5:   16 References and Originality Question
  164.    wt: 5:   15 Pythagorean Theorem Converse
  165.    wt: 5:   14 Law of cosines
  166.    wt: 5:   13 Trig Formulas for dot and cross Products
  167.    wt: 5:   12 cis formulas for sine cosines and tangent
  168.    wt: 5:   11 sine and cosine double triple angle formulas
  169.    wt: 5:   9 The complex number valued trig function cis
  170.    wt: 5:   7 Second Way to Calculate Products
  171.    wt: 5:   6 Field Properties of Complex Number
  172.    wt: 5:   5 An Easy Proof of the Distributive Law
  173.    wt: 5:   4 Multiplication Properties
  174.    wt: 5:   3 Addition Properties
  175.    wt: 5:   2 Complex Numbers made easier we hope
  176.    wt: 5:   Appetizer A Complex Number Applet
  177.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  178.    wt: 5:   12 Triangles Similarity More Problems
  179.    wt: 5:   11 Triangle Similarity Missing Side Problem
  180.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  181.    wt: 5:   9 Similarity of Triangles Usual Criteria
  182.    wt: 5:   8 Similarity of Triangles and Polygons
  183.    wt: 5:   6 Geometric Diagrams in Class
  184.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  185.    wt: 5:   4 Similarity Definition with Coordinate
  186.    wt: 5:   3 Similarity by Design with coordinates
  187.    wt: 5:   2 Similarity By Design
  188.    wt: 5:   1 Early Concept of Like or Similar Shapes
  189.    wt: 5:   Four Simple Exercises
  190.    wt: 5:   12 Links Lessons elsewhere
  191.    wt: 5:   11 A Partial Summary
  192.    wt: 5:   10 Midpoint of [a b] and [b a]
  193.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  194.    wt: 5:   8 Mid Point Formula
  195.    wt: 5:   7 Exercises to test skill and concept mastery
  196.    wt: 5:   6 Intersection of lines by solving linear systems
  197.    wt: 5:   5 Algebraic View of Slopes
  198.    wt: 5:   4 Equations for lines three forms
  199.    wt: 5:   3 Slope product for perpendicular lines
  200.    wt: 5:   2 point slope equation for a line
  201.    wt: 5:   1 Numerical view of lines and their equations
  202.    wt: 5:   What is and is not here
  203.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  204.    wt: 5:   PS H Distributive Law For Complex Numbers
  205.    wt: 5:   PS G Rotation Distributes over Addition
  206.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  207.    wt: 5:   PS D Addition with Cartesian Coordinates
  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:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  234.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  235.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  236.    wt: 1:   About site lesson plans
  237.    wt: 1:   19 Signed Multiples of Vectors
  238.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  239.    wt: 1:   13 Arrows and Vectors in a Plane
  240.    wt: 1:   8 Coordinates for Maps and Planes
  241.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  242.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  243.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  244.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  245.    wt: 1:   5 Common Divisors 60 45 via Prime
  246.    wt: 1:   4 LCM of 8 and 10 via Prime
  247.    wt: 1:   2 Least Common Multiple LCM intro via list method
  248.    wt: 1:   12 GCD 2700 288 via Prime
  249.    wt: 1:   3 signed coordinates for maps and planes
  250.    wt: 1:   8 Addition of Time Intervals via subtotaling
  251.    wt: 1:   Chapter 23 Links To Trigonometry
  252.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  253.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  254.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and 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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