Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

Logic mastery strengthens comprehension and so improves home, work & study abilities .
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 14+: 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.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, 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.

Location: Site Entrance << Search

[1] [2] [3]


Key Word Search

Folder Search

22 matches:

  1.    wt: 8:   7 Complex Numbers/
  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:   5 What is Similarity/
  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: 1:   B Real Numbers Extrinsic Development/
  18.    wt: 1:   5 Real Numbers/
  19.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  20.    wt: 1:   8 Arithmetic with Signed Numbers/
  21.    wt: 1:   7 Arithmetic and Fractions with Units/
  22.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

83 matches:

  1.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  2.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   20 N th Roots of Complex Numbers
  5.    wt: 2:   2 Complex Numbers made easier we hope
  6.    wt: 2:   7 Complex Numbers Appetizer
  7.    wt: 2:   PS H Distributive Law For Complex Numbers
  8.    wt: 2:   4 Angles on Maps Plans drawn to scale
  9.    wt: 2:   3 Lengths and Areas on Maps and Plans
  10.    wt: 2:   Chapter 23 Links To Trigonometry
  11.    wt: 2:   Chapter 22 Complex Numbers
  12.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  13.    wt: 1:   Ramblings Extrinsic numbers theory
  14.    wt: 1:   2 arithmetic with signed numbers
  15.    wt: 1:   1 arithmetic with unsigned numbers
  16.    wt: 1:   links Education Resources online
  17.    wt: 1:   About site lesson plans
  18.    wt: 1:   7 Links Lessons Elsewhere
  19.    wt: 1:   13 Velocity Vectors in Physics
  20.    wt: 1:   8 Parallel Vectors
  21.    wt: 1:   6 Vectors with Coordinates
  22.    wt: 1:   3 Navigation with Arrows or Vectors
  23.    wt: 1:   Vector and Complex Number Applet
  24.    wt: 1:   17A The complex number valued trig function cis
  25.    wt: 1:   Unit Circle Development of Trigonometry
  26.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  27.    wt: 1:   9 The complex number valued trig function cis
  28.    wt: 1:   8 Unit Circle Development of Trigonometry
  29.    wt: 1:   6 Field Properties of Complex Number
  30.    wt: 1:   Appetizer A Complex Number Applet
  31.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  32.    wt: 1:   Why Trigonometry the whyslopes view
  33.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  34.    wt: 1:   12 Links Lessons elsewhere
  35.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  36.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  37.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  38.    wt: 1:   6 Figuring with Maps Not to Scale
  39.    wt: 1:   musings do not puiblish real numbers
  40.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  41.    wt: 1:   22 Multiplication of Signed Numbers
  42.    wt: 1:   19 Signed Multiples of Vectors
  43.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  44.    wt: 1:   13 Arrows and Vectors in a Plane
  45.    wt: 1:   12 Real Numbers Line Signed Coordinates
  46.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  47.    wt: 1:   5 Distributive Law for Whole Numbers
  48.    wt: 1:   1 The Counting Origins of Numbers
  49.    wt: 1:   4 Comparison of Negative Numbers
  50.    wt: 1:   1 Real Numbers Comparison
  51.    wt: 1:   16 Real Numbers Comparison
  52.    wt: 1:   8 Coordinates for Maps and Planes
  53.    wt: 1:   7 Real Numbers as Line Cordinates
  54.    wt: 1:   6 Unsigned Real Numbers
  55.    wt: 1:   5 Rational Numbers More
  56.    wt: 1:   4 Rational Numbers
  57.    wt: 1:   1 Whole and Natural Numbers
  58.    wt: 1:   8 Sets of Numbers
  59.    wt: 1:   5 Talking about Numbers and Quantities
  60.    wt: 1:   4 A Brief Story of numbers and algebra
  61.    wt: 1:   3 Comparison of Negative Numbers
  62.    wt: 1:   11 What are real lengths and numbers
  63.    wt: 1:   10 dividing signed numbers
  64.    wt: 1:   9 subtracting signed numbers
  65.    wt: 1:   8 multiplying signed numbers
  66.    wt: 1:   6 adding signed numbers
  67.    wt: 1:   5 lengths and signs of numbers
  68.    wt: 1:   3 signed coordinates for maps and planes
  69.    wt: 1:   2 signed and unsigned numbers as coordinates
  70.    wt: 1:   3 Multiplying Units and Numbers
  71.    wt: 1:   22 Complex Compound Fractions
  72.    wt: 1:   9 Improper Fractions and Mixed Numbers
  73.    wt: 1:   8 Multiplication by Signed Numbers Integers
  74.    wt: 1:   6 Multiplication by Natural Numbers
  75.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  76.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  77.    wt: 1:   Quick history of numbers and algebra
  78.    wt: 1:   011 Division of Time Intervals By Numbers
  79.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  80.    wt: 1:   Annotated Links to Material Elsehwere
  81.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  82.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  83.    wt: 1:   Systematic Algebra Skill Development Missing Links

Extended Search

336 matches:

  1.    wt: 9:   9 The complex number valued trig function cis
  2.    wt: 9:   8 Unit Circle Development of Trigonometry
  3.    wt: 9:   7 Second Way to Calculate Products
  4.    wt: 9:   6 Field Properties of Complex Number
  5.    wt: 9:   Appetizer A Complex Number Applet
  6.    wt: 9:   4 Angles on Maps Plans drawn to scale
  7.    wt: 9:   3 Lengths and Areas on Maps and Plans
  8.    wt: 8:   21 Logarithms Powers and Exponentials
  9.    wt: 8:   19 N th Roots of Unity
  10.    wt: 8:   18 Sixth Roots of Unity
  11.    wt: 8:   17 Cube Roots of unity
  12.    wt: 8:   16 References and Originality Question
  13.    wt: 8:   15 Pythagorean Theorem Converse
  14.    wt: 8:   14 Law of cosines
  15.    wt: 8:   13 Trig Formulas for dot and cross Products
  16.    wt: 8:   12 cis formulas for sine cosines and tangent
  17.    wt: 8:   11 sine and cosine double triple angle formulas
  18.    wt: 8:   10 sine cosine Angle Sum Formulas via cis
  19.    wt: 8:   5 An Easy Proof of the Distributive Law
  20.    wt: 8:   4 Multiplication Properties
  21.    wt: 8:   3 Addition Properties
  22.    wt: 8:   1 Rectangular Polar Coordinates Review
  23.    wt: 8:   7 Complex Numbers Appetizer
  24.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  25.    wt: 8:   6 Figuring with Maps Not to Scale
  26.    wt: 7:   13 Velocity Vectors in Physics
  27.    wt: 7:   8 Parallel Vectors
  28.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  29.    wt: 7:   6 Vectors with Coordinates
  30.    wt: 7:   3 Navigation with Arrows or Vectors
  31.    wt: 7:   Vector and Complex Number Applet
  32.    wt: 7:   17A The complex number valued trig function cis
  33.    wt: 7:   Unit Circle Development of Trigonometry
  34.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  35.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  36.    wt: 7:   Why Trigonometry the whyslopes view
  37.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  38.    wt: 7:   PS H Distributive Law For Complex Numbers
  39.    wt: 7:   A Measurement with Ruler Proper Use
  40.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  41.    wt: 7:   2 Measuring Area Directly
  42.    wt: 7:   1 Length Measurement
  43.    wt: 6:   A Global Time and Navigation
  44.    wt: 6:   15 Dot and Cross Product
  45.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  46.    wt: 6:   12 From Applied To Pure Mathematics
  47.    wt: 6:   11 Component Method
  48.    wt: 6:   10 Parallelogram Addition Method
  49.    wt: 6:   9 Head to Tail Coordinate View
  50.    wt: 6:   5 Head To Tail Arrow Addition
  51.    wt: 6:   4 Resultant of a Sum of Movements
  52.    wt: 6:   2 Signed Coordinates
  53.    wt: 6:   1 Unsigned Coordinates
  54.    wt: 6:   17 tangent function angle sum formulas
  55.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  56.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  57.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  58.    wt: 6:   32 seven rows of pascals triangle
  59.    wt: 6:   31 basic secant cosecant cotangent trig identities
  60.    wt: 6:   30 unit circle calculation of six trigonometric functions
  61.    wt: 6:   29 secant cosecant and cotangent for acute angles
  62.    wt: 6:   28 Expressing products of sines cosines as sums
  63.    wt: 6:   27 Logarithmic use of products of sines and cosines
  64.    wt: 6:   26 Formulas for products of sines and cosines
  65.    wt: 6:   25 tangent double angle formula Slope connection
  66.    wt: 6:   24 tangent Angle Difference Formula
  67.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  68.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  69.    wt: 6:   21 sine and cosine Half Angle Formulas
  70.    wt: 6:   20 sine and cosine Double Angle Formulas
  71.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  72.    wt: 6:   18 sum of sinusoidal waves as a single wave
  73.    wt: 6:   17G Pythagorean Theorem Converse
  74.    wt: 6:   17F Law of cosines
  75.    wt: 6:   17E Trig Formulas for dot and cross Products
  76.    wt: 6:   17D cis formulas for sine cosines and tangent
  77.    wt: 6:   17C sine and cosine double triple angle formulas
  78.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  79.    wt: 6:   16 Right Triangle Complementary Angle Relations
  80.    wt: 6:   15 sine cosine Complementary Angle Relations
  81.    wt: 6:   14 cosine even and sine and tangent are odd
  82.    wt: 6:   13 Graph of tangent function many periods
  83.    wt: 6:   12 Graph of tangent function for one period
  84.    wt: 6:   11 tangent function undefined when terminal side vertical
  85.    wt: 6:   10 Graphs of sines and cosines many periods
  86.    wt: 6:   9 Graphs of sine and cosine over one period
  87.    wt: 6:   8 period of tangent function
  88.    wt: 6:   7 period of sine and cosine
  89.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  90.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  91.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  92.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  93.    wt: 6:   2 Quadrant I reference Angles
  94.    wt: 6:   1 Unit Points Reflections Rotations
  95.    wt: 6:   8 Triangles Cascade Problem Solving
  96.    wt: 6:   7 Trignometric Ratios Unit Circle
  97.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  98.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  99.    wt: 6:   3 Trigonometric Ratios sine and cosine
  100.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  101.    wt: 6:   1 Angle Measurement with Degrees
  102.    wt: 6:   12 Links Lessons elsewhere
  103.    wt: 6:   7 Exercises to test skill and concept mastery
  104.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  105.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  106.    wt: 6:   7 Angle Side Angle
  107.    wt: 5:   16 cotangent function Definition Graph and Inverse
  108.    wt: 5:   15 cosecant function Definition Graph and Inverse
  109.    wt: 5:   14 secant function Definition Graph and Inverse
  110.    wt: 5:   13 cosecant function Definition Graph and Inverse
  111.    wt: 5:   12 motivation for term arctan
  112.    wt: 5:   11 arctan left inverse of tangent Graph
  113.    wt: 5:   10 arctan left inverse of tangent Definition
  114.    wt: 5:   9 motivation for name arcsin
  115.    wt: 5:   8 arcsin left inverse of sine Graph
  116.    wt: 5:   7 arcsin left inverse of sine Definition
  117.    wt: 5:   6 Graph of arccos function
  118.    wt: 5:   5 Swapping Coordinates is a reflection
  119.    wt: 5:   4 possible motivation for term arccos
  120.    wt: 5:   3 Left Inverse of cosine arccos definition
  121.    wt: 5:   2 cosine function more properties
  122.    wt: 5:   1 cosine function properties
  123.    wt: 5:   9 Summary Degrees to Radians and back
  124.    wt: 5:   8 Radian Measures of Common Angles
  125.    wt: 5:   7 Radian Measures in special Triangles
  126.    wt: 5:   6 Radian Measure to Degrees
  127.    wt: 5:   5 Degrees to Radian Measure
  128.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  129.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  130.    wt: 5:   2 Radian Measure Numerical Value of one degree
  131.    wt: 5:   1 Degrees and Radians Introduction
  132.    wt: 5:   4 graphing y=Asin(x c)
  133.    wt: 5:   3 graphing y=f(x c) plus K
  134.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  135.    wt: 5:   1 graphing y=f(x a)
  136.    wt: 5:   Parallel Lines and Parallel Transversals
  137.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  138.    wt: 5:   Triangle Angles Sum To 180 Degrees
  139.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  140.    wt: 5:   Parallel Lines and Interior Angles
  141.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  142.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  143.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  144.    wt: 5:   Straight Lines ASA Intersection Study More
  145.    wt: 5:   Straight Lines ASA Intersection Study
  146.    wt: 5:   Straight Lines Instersection Solving Equations
  147.    wt: 5:   Straight Lines Intersection of
  148.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  149.    wt: 5:   C Straight Lines Slope from Coordinates
  150.    wt: 5:   B Straight Line Slope Scaling Properties More
  151.    wt: 5:   A Straight Line Slope Scaling Properties
  152.    wt: 5:   14 Straight Lines Equations General Case
  153.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  154.    wt: 5:   12 Straight Lines Graphing mx plus b
  155.    wt: 5:   11 Straight Lines Graphing y=mx
  156.    wt: 5:   10 Straight Lines through Origin Equations More
  157.    wt: 5:   9 Straight Lines through Origin Equations
  158.    wt: 5:   8 Straight Lines Equation for vertical
  159.    wt: 5:   7 Tangent Function is odd on this domain
  160.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  161.    wt: 5:   5 Tangent Function Graph
  162.    wt: 5:   4 Tangent Function Properties
  163.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  164.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  165.    wt: 5:   1 Straight Lines Slope Concept
  166.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  167.    wt: 5:   12 Triangles Similarity More Problems
  168.    wt: 5:   11 Triangle Similarity Missing Side Problem
  169.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  170.    wt: 5:   9 Similarity of Triangles Usual Criteria
  171.    wt: 5:   8 Similarity of Triangles and Polygons
  172.    wt: 5:   7 Translations Rotations Reflections Dilatations
  173.    wt: 5:   6 Geometric Diagrams in Class
  174.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  175.    wt: 5:   4 Similarity Definition with Coordinate
  176.    wt: 5:   3 Similarity by Design with coordinates
  177.    wt: 5:   2 Similarity By Design
  178.    wt: 5:   1 Early Concept of Like or Similar Shapes
  179.    wt: 5:   Four Simple Exercises
  180.    wt: 5:   11 A Partial Summary
  181.    wt: 5:   10 Midpoint of [a b] and [b a]
  182.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  183.    wt: 5:   8 Mid Point Formula
  184.    wt: 5:   6 Intersection of lines by solving linear systems
  185.    wt: 5:   5 Algebraic View of Slopes
  186.    wt: 5:   4 Equations for lines three forms
  187.    wt: 5:   3 Slope product for perpendicular lines
  188.    wt: 5:   2 point slope equation for a line
  189.    wt: 5:   1 Numerical view of lines and their equations
  190.    wt: 5:   What is and is not here
  191.    wt: 5:   13 Pythagorean spatial distance formulas
  192.    wt: 5:   12 Spatial Coordinates
  193.    wt: 5:   11 Triangle Inequality
  194.    wt: 5:   10 Pythagorean plane distance formula
  195.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  196.    wt: 5:   8 Distance Between Points on a Line
  197.    wt: 5:   6 Polar Multiplication and Rotation
  198.    wt: 5:   5 Cartesian Addition and Translation
  199.    wt: 5:   4 Polar Coordinates to and from
  200.    wt: 5:   3 Rectangular Coordinates Review
  201.    wt: 5:   2 Cartesian Coordinates with signs
  202.    wt: 5:   1 Cartesian Coordinates sans signs
  203.    wt: 5:   PS G Rotation Distributes over Addition
  204.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  205.    wt: 5:   PS E Multiplication with Polar Coordinates
  206.    wt: 5:   PS D Addition with Cartesian Coordinates
  207.    wt: 5:   PS B Parallelogram Construction Methods
  208.    wt: 5:   PS A Kite Construction Methods
  209.    wt: 5:   21 Parallelograms
  210.    wt: 5:   19 Right Triangle Similarity
  211.    wt: 5:   18 Triangle Similarity Take 1
  212.    wt: 5:   17 Right Bisectors of Triangle Sides
  213.    wt: 5:   16 Angles Subtended By Chords and Diameters
  214.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  215.    wt: 5:   14 Parallel Lines Postulate
  216.    wt: 5:   13 Angle Side Angle Failure
  217.    wt: 5:   12 Side Angle Side Failure
  218.    wt: 5:   11 Triangle Construction Fails
  219.    wt: 5:   10 Dropping a perpendicular to line
  220.    wt: 5:   9 Construction of a right bisector
  221.    wt: 5:   8 Isoceles Triangles
  222.    wt: 5:   6 Ruler and compass Angle Bisection
  223.    wt: 5:   5 Side Angle Side
  224.    wt: 5:   4 Side Side Side
  225.    wt: 5:   3 Isometry of Triangles Congruence
  226.    wt: 5:   2 Correspondence between Triangles
  227.    wt: 5:   1 Initial Concepts and Terms
  228.    wt: 5:   Short Course on Euclidean Geometry
  229.    wt: 5:   About Folder Contents
  230.    wt: 3:   Chapter 20 Vectors and Complex Numbers
  231.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  232.    wt: 2:   Maps Plans Drawings
  233.    wt: 2:   musings do not puiblish real numbers
  234.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  235.    wt: 2:   22 Multiplication of Signed Numbers
  236.    wt: 2:   19 Signed Multiples of Vectors
  237.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  238.    wt: 2:   13 Arrows and Vectors in a Plane
  239.    wt: 2:   12 Real Numbers Line Signed Coordinates
  240.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  241.    wt: 2:   16 Real Numbers Comparison
  242.    wt: 2:   8 Coordinates for Maps and Planes
  243.    wt: 2:   7 Real Numbers as Line Cordinates
  244.    wt: 2:   6 Unsigned Real Numbers
  245.    wt: 2:   5 Rational Numbers More
  246.    wt: 2:   4 Rational Numbers
  247.    wt: 2:   1 Whole and Natural Numbers
  248.    wt: 2:   3 Comparison of Negative Numbers
  249.    wt: 2:   11 What are real lengths and numbers
  250.    wt: 2:   10 dividing signed numbers
  251.    wt: 2:   9 subtracting signed numbers
  252.    wt: 2:   8 multiplying signed numbers
  253.    wt: 2:   6 adding signed numbers
  254.    wt: 2:   5 lengths and signs of numbers
  255.    wt: 2:   3 signed coordinates for maps and planes
  256.    wt: 2:   2 signed and unsigned numbers as coordinates
  257.    wt: 2:   3 Multiplying Units and Numbers
  258.    wt: 2:   Chapter 23 Links To Trigonometry
  259.    wt: 2:   Chapter 22 Complex Numbers
  260.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  261.    wt: 1:   Ramblings Extrinsic numbers theory
  262.    wt: 1:   2 arithmetic with signed numbers
  263.    wt: 1:   1 arithmetic with unsigned numbers
  264.    wt: 1:   links Education Resources online
  265.    wt: 1:   About site lesson plans
  266.    wt: 1:   7 Student Motivation
  267.    wt: 1:   7 Links Lessons Elsewhere
  268.    wt: 1:   A Modular and Remainder Arithmetic
  269.    wt: 1:   A Signed Number Arithmetic Review
  270.    wt: 1:   26 More Less Greater Than Comparison
  271.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  272.    wt: 1:   23 Distributive Law Two Derivations
  273.    wt: 1:   21 Addition of Multiples of a Single Vector
  274.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  275.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  276.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  277.    wt: 1:   15 Head to Tails in place Addition Associative
  278.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  279.    wt: 1:   11 Signed Number Addition and Addition Properties
  280.    wt: 1:   9 Division with Digits after Decimal Point
  281.    wt: 1:   8 Division and Mulplication of Compound Fractions
  282.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  283.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  284.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  285.    wt: 1:   4 Location of Point in Decimal Addition
  286.    wt: 1:   3 Location of Point in Decimal Multiplication
  287.    wt: 1:   2 Counting Digits in Decimal Multiplication
  288.    wt: 1:   1 Fractions with Finite Decimal Expansions
  289.    wt: 1:   7 Decimals Multiplication Methods Examples
  290.    wt: 1:   5 Distributive Law for Whole Numbers
  291.    wt: 1:   1 The Counting Origins of Numbers
  292.    wt: 1:   4 Comparison of Negative Numbers
  293.    wt: 1:   1 Real Numbers Comparison
  294.    wt: 1:   15 Real Number Division
  295.    wt: 1:   14 Real Number Multiplication
  296.    wt: 1:   13 Real Number Subtraction
  297.    wt: 1:   12 Real Number Additive Inverses or Negatives
  298.    wt: 1:   11 Real Number Addition
  299.    wt: 1:   10 Real Number Lengths and Signs
  300.    wt: 1:   9 Coordinates for Regions in Space
  301.    wt: 1:   3 Fractions
  302.    wt: 1:   2 Integers
  303.    wt: 1:   7 Two Examples
  304.    wt: 1:   8 Sets of Numbers
  305.    wt: 1:   5 Talking about Numbers and Quantities
  306.    wt: 1:   4 A Brief Story of numbers and algebra
  307.    wt: 1:   4 Greater More Less Than Signs in General
  308.    wt: 1:   2 More and Less Than with Unlike Signs
  309.    wt: 1:   1 More and Less Than for Counts and Measures
  310.    wt: 1:   7 negative and additive inverse
  311.    wt: 1:   4 signed coordinates for regions in space
  312.    wt: 1:   7 Converting or Changing Units
  313.    wt: 1:   6 Simplification of Fractions with Units
  314.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  315.    wt: 1:   4 Fractions with Units
  316.    wt: 1:   2 Equality and Units
  317.    wt: 1:   1 Addition and Subtraction with Units
  318.    wt: 1:   22 Complex Compound Fractions
  319.    wt: 1:   9 Improper Fractions and Mixed Numbers
  320.    wt: 1:   8 Multiplication by Signed Numbers Integers
  321.    wt: 1:   7 Multiplication by Signs
  322.    wt: 1:   6 Multiplication by Natural Numbers
  323.    wt: 1:   7 Calculator Usage Notes and Cautions
  324.    wt: 1:   7 Long Divison Mistake Catching
  325.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  326.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  327.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  328.    wt: 1:   Quick history of numbers and algebra
  329.    wt: 1:   011 Division of Time Intervals By Numbers
  330.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  331.    wt: 1:   Annotated Links to Material Elsehwere
  332.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  333.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  334.    wt: 1:   Systematic Algebra Skill Development Missing Links
  335.    wt: 10:   20 N th Roots of Complex Numbers
  336.    wt: 10:   2 Complex Numbers made easier we hope

Bookmark this page

Road Safety Messages. First Question: When and why should you face traffic?

More Site Folders and Pages

Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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


Return to Page Top

Location: Site Entrance << Search

[1] [2] [3]


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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.