Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters. For better or best skill development practices, see site chapters and steps.

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.

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21 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/

Web Page Search

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

Extended Search

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

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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


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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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