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.

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65 matches:

  1.    wt: 4:   15 Arc or Inverse Trigonometric Function/
  2.    wt: 4:   5 What is Similarity/
  3.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
  4.    wt: 4:   5 Integers/
  5.    wt: 3:   5 Factored Polynomial Sign Analysis Examples/
  6.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 3:   12 Function Translating and Rescaling/
  8.    wt: 3:   11 Parallel Straight Lines and Transversals/
  9.    wt: 3:   10 Intersecting Straight Lines and Transversals/
  10.    wt: 3:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 3:   4 Lines and Slopes Take 1/
  12.    wt: 3:   3 Cartesian and Polar Coordinates/
  13.    wt: 3:   A Origins of Counting and Figuring Methods/
  14.    wt: 3:   10 Examples of Algebraic Reasoning/
  15.    wt: 3:   9 Proportionality Backwards and Forwards/
  16.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  17.    wt: 3:   6 More Less Greater Than Inequalities and Comparison/
  18.    wt: 3:   5 Real Numbers/
  19.    wt: 3:   4 Computation Rules and Function Notation/
  20.    wt: 3:   Step 1 Stick diagram and fractions/
  21.    wt: 3:   11 Squares and Square Roots/
  22.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  23.    wt: 3:   9 Combinatorics Trees Tables and Products/
  24.    wt: 3:   7 Arithmetic and Fractions with Units/
  25.    wt: 3:   6 Fractions and Ratios/
  26.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  27.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  28.    wt: 3:   A Decimal Counting and Adding Methods/
  29.    wt: 3:   Mathematics 506 Lessons/
  30.    wt: 2:   4 Functions/
  31.    wt: 2:   3 Quadratics Geometrically/
  32.    wt: 2:   2 Natural Logarithms Exponentials Powers Roots/
  33.    wt: 2:   1 Five Polynomial Operations/
  34.    wt: 2:   13 Vectors/
  35.    wt: 2:   8 Unit Circle Trigonometry/
  36.    wt: 2:   7 Complex Numbers/
  37.    wt: 2:   6 Trigonometry first steps/
  38.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  39.    wt: 2:   1 Maps Plans Measurement/
  40.    wt: 2:   Geometry maps plans trigonometry vectors/
  41.    wt: 2:   8 Unifying Theme For Algebra/
  42.    wt: 2:   Step 4 Gaussian Elimination/
  43.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  44.    wt: 2:   Step 2 Algebraic solutions for one unknown/
  45.    wt: 2:   3 Solving Linear Equations/
  46.    wt: 2:   2 Formula Forward Use Evaluation/
  47.    wt: 2:   1 Working With Sets/
  48.    wt: 2:   8 Arithmetic with Signed Numbers/
  49.    wt: 2:   3 Prime Factorization Skills/
  50.    wt: 2:   D Decimal Long Division Methods/
  51.    wt: 2:   C Decimal Multiplication Methods/
  52.    wt: 2:   2 Arithmetic with Decimals/
  53.    wt: 2:   1 Decimal Place Value/
  54.    wt: 2:   Arithmetic and Number Theory Skills/
  55.    wt: 2:   12 Webvideo Lessons on Area and Volume Calculation/
  56.    wt: 2:   Resources and Reciprocal Links/
  57.    wt: 1:   More Algebra/
  58.    wt: 1:   B Real Numbers Extrinsic Development/
  59.    wt: 1:   Algebra Starter Lessons/
  60.    wt: 1:   Time Date Matters/
  61.    wt: 1:   Skills with take home value/
  62.    wt: 1:   5 Lessons on Integration/
  63.    wt: 1:   13 Lessons on Limits and Continuity/
  64.    wt: 1:   Volume 1 Elements of Reason/
  65.    wt: 1:   Work and Study Tips/

Web Page Search

468 matches:

  1.    wt: 6:   Chapter 5 Islands and Divisions of Knowledge
  2.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  3.    wt: 4:   35 sines and cosines of 2A 3A 4A 5A
  4.    wt: 4:   16 GCD and LCM of 650 225 via Prime
  5.    wt: 4:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  6.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  7.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  8.    wt: 3:   27 Logarithmic use of products of sines and cosines
  9.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  10.    wt: 3:   5 An Easy Proof of the Distributive Law
  11.    wt: 3:   5 Similarity of Circles Squares and Rectangles
  12.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  13.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  14.    wt: 3:   5 lengths and signs of numbers
  15.    wt: 3:   17 Derivatives of quotients of sine and cosine
  16.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  17.    wt: 3:   5 Jumps and absence of unlimited error control
  18.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  19.    wt: 2:   5 logarithms and exponentials etc
  20.    wt: 2:   Theory of Knowledge
  21.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  22.    wt: 2:   5 Patience Please for Yourself and Your Charges
  23.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  24.    wt: 2:   15 Sign analysis of functions
  25.    wt: 2:   8 Set view of relations and functions
  26.    wt: 2:   15 cosecant function Definition Graph and Inverse
  27.    wt: 2:   15 Dot and Cross Product
  28.    wt: 2:   4 Resultant of a Sum of Movements
  29.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  30.    wt: 2:   26 Formulas for products of sines and cosines
  31.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  32.    wt: 2:   14 cosine even and sine and tangent are odd
  33.    wt: 2:   10 Graphs of sines and cosines many periods
  34.    wt: 2:   9 Graphs of sine and cosine over one period
  35.    wt: 2:   7 period of sine and cosine
  36.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  37.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  38.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  39.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  40.    wt: 2:   8 Similarity of Triangles and Polygons
  41.    wt: 2:   10 Midpoint of [a b] and [b a]
  42.    wt: 2:   5 Algebraic View of Slopes
  43.    wt: 2:   1 Numerical view of lines and their equations
  44.    wt: 2:   5 Cartesian Addition and Translation
  45.    wt: 2:   3 Lengths and Areas on Maps and Plans
  46.    wt: 2:   21 Addition of Multiples of a Single Vector
  47.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  48.    wt: 2:   8 Division and Mulplication of Compound Fractions
  49.    wt: 2:   5 Areas of Rectangles Revisited
  50.    wt: 2:   2 More and Less Than for Counts and Measures
  51.    wt: 2:   5 Talking about Numbers and Quantities
  52.    wt: 2:   4 A Brief Story of numbers and algebra
  53.    wt: 2:   1 More and Less Than for Counts and Measures
  54.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  55.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  56.    wt: 2:   5 Common Divisors 60 45 via Prime
  57.    wt: 2:   4 LCM of 8 and 10 via Prime
  58.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  59.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  60.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  61.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  62.    wt: 2:   5 Zero Movement and Additive Inverses
  63.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  64.    wt: 2:   5 Remainder Arithmetic Modulo 5
  65.    wt: 2:   15 video Factors of 20 using Prime Factorization
  66.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  67.    wt: 2:   5 Prime Factorization and a Square Rule
  68.    wt: 2:   1 Why 3 times 5 gives 15
  69.    wt: 2:   6. Counting and adding units and mixed units
  70.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  71.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  72.    wt: 2:   Quick history of numbers and algebra
  73.    wt: 2:   015 School and work day counting tables
  74.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  75.    wt: 2:   4 Mixing and Changing Units of Time
  76.    wt: 2:   3 Units and Lengths of Time
  77.    wt: 2:   38 Formulas and derivatives for powers and roots
  78.    wt: 2:   15 sine and cosine derivatives 3rd step
  79.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  80.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  81.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  82.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  83.    wt: 2:   Chapter 18 Sense and Knowledge
  84.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  85.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  86.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  87.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  88.    wt: 1:   Appendix 1 primary and preschool mathematic
  89.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  90.    wt: 1:   Skills Chapter 5 Calculus
  91.    wt: 1:   7 logic review and decimals an odd combination
  92.    wt: 1:   key notes and themes
  93.    wt: 1:   Mathematics Education Professors
  94.    wt: 1:   what should be learnt and When
  95.    wt: 1:   05 13 OldSiteEntrancePage
  96.    wt: 1:   04 25 when to stop or suspend mathemat
  97.    wt: 1:   standards for course material
  98.    wt: 1:   Education in mathematics science and technology
  99.    wt: 1:   Different Kinds of Reasoning in maths
  100.    wt: 1:   three kinds of reason in mathematics
  101.    wt: 1:   Motivation and Context Problem
  102.    wt: 1:   fairness and inductive principles for instruction
  103.    wt: 1:   chapitre 05 00 Deception
  104.    wt: 1:   chapitre 04 05 Implication versus suggestion
  105.    wt: 1:   E Energy Power05
  106.    wt: 1:   E Kirchoffs Second Law
  107.    wt: 1:   D Kirchoff First Law
  108.    wt: 1:   Home Tutoring and Home Schooling
  109.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  110.    wt: 1:   24 Standards For Skill Develoment Take II
  111.    wt: 1:   24 Standards For Skill Develoment
  112.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  113.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  114.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  115.    wt: 1:   17 Math Booklets for children and young teenagers
  116.    wt: 1:   15 Counting For Parents
  117.    wt: 1:   14 Multiplication and Times Tables
  118.    wt: 1:   13 Addition and Addition Tables
  119.    wt: 1:   12 Goals and Objectives For Mathematics
  120.    wt: 1:   11 Help and Defend Your Child or Teens Education
  121.    wt: 1:   8 The Effect of Negative Remarks
  122.    wt: 1:   4 Learning Takes Time and Effort
  123.    wt: 1:   2 Reading and Writing Skills
  124.    wt: 1:   Ages 4 plus to 5 plus
  125.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  126.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  127.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  128.    wt: 1:   26 Function definitions done and coming
  129.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  130.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  131.    wt: 1:   19 Horizontal line rule and method
  132.    wt: 1:   18 Vertical Line Rule and Method
  133.    wt: 1:   17 Function maxima minima and their location
  134.    wt: 1:   11 Function Domain Range Source and Targets
  135.    wt: 1:   6 Set Existence Formation and Notation
  136.    wt: 1:   5 Function notation for geometric transformations
  137.    wt: 1:   4 Function notation in and beyond mathematics
  138.    wt: 1:   2 Algebraic use of function notation
  139.    wt: 1:   1 Geometric Introduction of Function Notation
  140.    wt: 1:   9 quadratics physical and further context
  141.    wt: 1:   8 quadratics backward use of various formulas
  142.    wt: 1:   5 quadratics completing the square
  143.    wt: 1:   4 quadratics difference of two squares
  144.    wt: 1:   11 Growth and Decay in Biology
  145.    wt: 1:   10 Exponential Growth and Decay Models
  146.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  147.    wt: 1:   5 Natural Logarithm Calculator Exercises
  148.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  149.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  150.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  151.    wt: 1:   16 cotangent function Definition Graph and Inverse
  152.    wt: 1:   14 secant function Definition Graph and Inverse
  153.    wt: 1:   13 cosecant function Definition Graph and Inverse
  154.    wt: 1:   11 arctan left inverse of tangent Graph
  155.    wt: 1:   10 arctan left inverse of tangent Definition
  156.    wt: 1:   8 arcsin left inverse of sine Graph
  157.    wt: 1:   7 arcsin left inverse of sine Definition
  158.    wt: 1:   6 Graph of arccos function
  159.    wt: 1:   5 Swapping Coordinates is a reflection
  160.    wt: 1:   3 Left Inverse of cosine arccos definition
  161.    wt: 1:   9 Summary Degrees to Radians and back
  162.    wt: 1:   8 Radian Measures of Common Angles
  163.    wt: 1:   5 Degrees to Radian Measure
  164.    wt: 1:   2 Radian Measure Numerical Value of one degree
  165.    wt: 1:   1 Degrees and Radians Introduction
  166.    wt: 1:   A Global Time and Navigation
  167.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  168.    wt: 1:   5 Head To Tail Arrow Addition
  169.    wt: 1:   Vector and Complex Number Applet
  170.    wt: 1:   Parallel Lines and Parallel Transversals
  171.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  172.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  173.    wt: 1:   Parallel Lines and Interior Angles
  174.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  175.    wt: 1:   Straight Lines Intersection of
  176.    wt: 1:   5 Tangent Function Graph
  177.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  178.    wt: 1:   32 seven rows of pascals triangle
  179.    wt: 1:   30 unit circle calculation of six trigonometric functions
  180.    wt: 1:   29 secant cosecant and cotangent for acute angles
  181.    wt: 1:   28 Expressing products of sines cosines as sums
  182.    wt: 1:   25 tangent double angle formula Slope connection
  183.    wt: 1:   21 sine and cosine Half Angle Formulas
  184.    wt: 1:   20 sine and cosine Double Angle Formulas
  185.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  186.    wt: 1:   18 sum of sinusoidal waves as a single wave
  187.    wt: 1:   17F Law of cosines
  188.    wt: 1:   17E Trig Formulas for dot and cross Products
  189.    wt: 1:   17D cis formulas for sine cosines and tangent
  190.    wt: 1:   17C sine and cosine double triple angle formulas
  191.    wt: 1:   15 sine cosine Complementary Angle Relations
  192.    wt: 1:   13 Graph of tangent function many periods
  193.    wt: 1:   12 Graph of tangent function for one period
  194.    wt: 1:   8 period of tangent function
  195.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  196.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  197.    wt: 1:   Unit Circle Development of Trigonometry
  198.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  199.    wt: 1:   21 Logarithms Powers and Exponentials
  200.    wt: 1:   20 N th Roots of Complex Numbers
  201.    wt: 1:   19 N th Roots of Unity
  202.    wt: 1:   18 Sixth Roots of Unity
  203.    wt: 1:   17 Cube Roots of unity
  204.    wt: 1:   16 References and Originality Question
  205.    wt: 1:   15 Pythagorean Theorem Converse
  206.    wt: 1:   14 Law of cosines
  207.    wt: 1:   13 Trig Formulas for dot and cross Products
  208.    wt: 1:   12 cis formulas for sine cosines and tangent
  209.    wt: 1:   11 sine and cosine double triple angle formulas
  210.    wt: 1:   8 Unit Circle Development of Trigonometry
  211.    wt: 1:   6 Field Properties of Complex Number
  212.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  213.    wt: 1:   3 Trigonometric Ratios sine and cosine
  214.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  215.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  216.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  217.    wt: 1:   9 Similarity of Triangles Usual Criteria
  218.    wt: 1:   1 Early Concept of Like or Similar Shapes
  219.    wt: 1:   7 Exercises to test skill and concept mastery
  220.    wt: 1:   6 Intersection of lines by solving linear systems
  221.    wt: 1:   What is and is not here
  222.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  223.    wt: 1:   6 Polar Multiplication and Rotation
  224.    wt: 1:   4 Polar Coordinates to and from
  225.    wt: 1:   17 Right Bisectors of Triangle Sides
  226.    wt: 1:   16 Angles Subtended By Chords and Diameters
  227.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  228.    wt: 1:   9 Construction of a right bisector
  229.    wt: 1:   6 Ruler and compass Angle Bisection
  230.    wt: 1:   5 Side Angle Side
  231.    wt: 1:   3 Isometry of Triangles Congruence
  232.    wt: 1:   1 Initial Concepts and Terms
  233.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  234.    wt: 1:   5 Drawing to Scale Avoids Angle Distortions
  235.    wt: 1:   A Modular and Remainder Arithmetic
  236.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  237.    wt: 1:   22 Multiplication of Signed Numbers
  238.    wt: 1:   19 Signed Multiples of Vectors
  239.    wt: 1:   15 Head to Tails in place Addition Associative
  240.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  241.    wt: 1:   13 Arrows and Vectors in a Plane
  242.    wt: 1:   11 Signed Number Addition and Addition Properties
  243.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  244.    wt: 1:   4 Location of Point in Decimal Addition
  245.    wt: 1:   3 Location of Point in Decimal Multiplication
  246.    wt: 1:   B Decimal Comparison and Subtraction
  247.    wt: 1:   5 Distributive Law for Whole Numbers
  248.    wt: 1:   2 Combing Counts Addition Skills and Principles
  249.    wt: 1:   1 The Counting Origins of Numbers
  250.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  251.    wt: 1:   5 Proportionality in Equivalent Fractions
  252.    wt: 1:   4 Rates Ratios and Proporitionality
  253.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  254.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  255.    wt: 1:   6 Compound Interest Forward and Backwards
  256.    wt: 1:   5 Triangle Area Formula Backwards
  257.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  258.    wt: 1:   6 Equations and Systems Equivalent or Implied
  259.    wt: 1:   5 Equality in Algebra
  260.    wt: 1:   4 Subtraction and Division Axioms
  261.    wt: 1:   2 Addition and Multiplication Axioms
  262.    wt: 1:   5 Greater More Less Than Signs in General
  263.    wt: 1:   4 Comparison of Negative Numbers
  264.    wt: 1:   3 More and Less Than with Unlike Signs
  265.    wt: 1:   15 Real Number Division
  266.    wt: 1:   10 Real Number Lengths and Signs
  267.    wt: 1:   8 Coordinates for Maps and Planes
  268.    wt: 1:   5 Rational Numbers More
  269.    wt: 1:   1 Whole and Natural Numbers
  270.    wt: 1:   5 Independent versus Dependent Variables
  271.    wt: 1:   3 Geometric Formulas and Function Notation
  272.    wt: 1:   1 Formulas Dependence and Function Notation
  273.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  274.    wt: 1:   3 GE III Equation Addition and Multiplication
  275.    wt: 1:   5 Algebraic Solutions Introduction
  276.    wt: 1:   5 Three Examples
  277.    wt: 1:   11 Volume of Sphere
  278.    wt: 1:   10 Volume of Pyramid
  279.    wt: 1:   9 Volume of Cone
  280.    wt: 1:   5 Box Volume Formula Example
  281.    wt: 1:   1 Written work formats for developing and showing skill
  282.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  283.    wt: 1:   9 Sets in Probability and Statistics
  284.    wt: 1:   8 Sets of Numbers
  285.    wt: 1:   5 Product Builder Notation
  286.    wt: 1:   6 Three Notions of What is a Variable
  287.    wt: 1:   3 Comparison of Negative Numbers
  288.    wt: 1:   2 More and Less Than with Unlike Signs
  289.    wt: 1:   5 Square Roots with primes more still
  290.    wt: 1:   3 Properties of Square Roots with example
  291.    wt: 1:   1 Squares and Square Roots Introduction
  292.    wt: 1:   7 GCD and LCM from prime factorization
  293.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  294.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  295.    wt: 1:   3 Counting with Tables and Trees II
  296.    wt: 1:   2 Counting with Tables and Trees I
  297.    wt: 1:   1 Counting and Counting Methods I
  298.    wt: 1:   11 What are real lengths and numbers
  299.    wt: 1:   7 negative and additive inverse
  300.    wt: 1:   3 signed coordinates for maps and planes
  301.    wt: 1:   2 signed and unsigned numbers as coordinates
  302.    wt: 1:   6 Simplification of Fractions with Units
  303.    wt: 1:   3 Multiplying Units and Numbers
  304.    wt: 1:   2 Equality and Units
  305.    wt: 1:   1 Addition and Subtraction with Units
  306.    wt: 1:   B Fractions and Two Term Ratios
  307.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  308.    wt: 1:   21 Reciprocals for Fractions and Wholes
  309.    wt: 1:   17 Efficient Ways to Add and Subtract
  310.    wt: 1:   14 Adding and Subtracting with Like Denominators
  311.    wt: 1:   9 Improper Fractions and Mixed Numbers
  312.    wt: 1:   5 Equivalent Fractions
  313.    wt: 1:   3 Unit fraction of a fraction
  314.    wt: 1:   11 Adding Integers Formulas and Examples
  315.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  316.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  317.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  318.    wt: 1:   26 Divisibility by 2 3 5 Example
  319.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  320.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  321.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  322.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  323.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  324.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  325.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  326.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  327.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  328.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  329.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  330.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  331.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  332.    wt: 1:   20 Uniqueness of Prime Factorization
  333.    wt: 1:   17 Identify and Count Factors using Primes
  334.    wt: 1:   16 video Factors of 980 using prime
  335.    wt: 1:   14 video Factors of 24 Take II
  336.    wt: 1:   13 video Factors of 24 using prime
  337.    wt: 1:   12 LCD GCD and LCM using Primes
  338.    wt: 1:   7 Calculator Usage Notes and Cautions
  339.    wt: 1:   3 video Primes and Composites from 9 times table
  340.    wt: 1:   2 Prime and Composites less than 16
  341.    wt: 1:   Division with Counts and Length
  342.    wt: 1:   Long Division forwards and backwards Example 3
  343.    wt: 1:   Long Division forwards and backwards Example 2
  344.    wt: 1:   Long Division forwards and backwards Example 1
  345.    wt: 1:   10 Division by Five Long and Short Ways
  346.    wt: 1:   5 Long Division Include Zeroes or not
  347.    wt: 1:   C Counting Areas with Powers of Ten
  348.    wt: 1:   B Powers of Ten
  349.    wt: 1:   5 Decimal Fraction Multiplication
  350.    wt: 1:   4 Two and Three Digit Multipliers
  351.    wt: 1:   8 Subtraction with Units of Measure
  352.    wt: 1:   5 A Tip for Efficent Subtraction
  353.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  354.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  355.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  356.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  357.    wt: 1:   8 What skills and work habits to require
  358.    wt: 1:   5. How to add decimals C. Examples
  359.    wt: 1:   11 Place Value SI Standard International way
  360.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  361.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  362.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  363.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  364.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  365.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  366.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  367.    wt: 1:   Exact Arithmetic Wholes and Fractions
  368.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  369.    wt: 1:   012 Division of Time Intervals by Time Intervals
  370.    wt: 1:   011 Division of Time Intervals By Numbers
  371.    wt: 1:   010 Repeated Addition of Time Intervals
  372.    wt: 1:   8 Addition of Time Intervals via subtotaling
  373.    wt: 1:   7 Addition of Time Intervals
  374.    wt: 1:   5 Conversion Arithmetic
  375.    wt: 1:   2 Time and Date Matters in School
  376.    wt: 1:   1 Intro of Kids To Time Date Skills
  377.    wt: 1:   Example 2 volume of a cone
  378.    wt: 1:   Example 1 volume of a pyramid
  379.    wt: 1:   Volume of Solid by Cross Sections Lesson
  380.    wt: 1:   Example 1. Area Between x and x squared
  381.    wt: 1:   Example 4 with x function of y
  382.    wt: 1:   5 Area Under Curve Exercise
  383.    wt: 1:   34 Derivative of exponential function
  384.    wt: 1:   31 Derivatives of inverse functions
  385.    wt: 1:   30Chain Rule A Proof
  386.    wt: 1:   28 Chain Rule Preparation for a Proof
  387.    wt: 1:   25 Chain Rule Animated Examples Continued
  388.    wt: 1:   14 sine and cosine derivatives 2nd step
  389.    wt: 1:   13 sine and cosine derivatives 1st step
  390.    wt: 1:   8 Differentiation of polynomials
  391.    wt: 1:   5 Product Rule
  392.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  393.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  394.    wt: 1:   9 Limits Continuity and Composition
  395.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  396.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  397.    wt: 1:   G.5 Motions With Bounded Velocities
  398.    wt: 1:   G.3 Constant Difference Theorem Proof
  399.    wt: 1:   F.5b Extreme Value Theorem
  400.    wt: 1:   F.5a Equicontinuity Theorems
  401.    wt: 1:   E2 Algebraic Properties of Limits
  402.    wt: 1:   D2 Limits of Monotone Sequences
  403.    wt: 1:   PostScript For and Against Decimal Perspectives
  404.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  405.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  406.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  407.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  408.    wt: 1:   Chapter 15. Slope Approximation
  409.    wt: 1:   Chapter 12. Units and Slopes
  410.    wt: 1:   Chapter 10 Slopes and Units
  411.    wt: 1:   Chapter 7 Slopes and Velocity
  412.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  413.    wt: 1:   Chapter 5. Slope Sign Tests
  414.    wt: 1:   Chapter 2. Slopes and Ski Trails
  415.    wt: 1:   Appendix E. How To Study Mathematics and Why
  416.    wt: 1:   Appendix D. What to do in School and Why
  417.    wt: 1:   Chapter 31 Direct and Indirect Reason
  418.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  419.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  420.    wt: 1:   Chapter 25. Mathematical Induction Examples
  421.    wt: 1:   Chapter 25. Mathematical Induction Examples
  422.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  423.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  424.    wt: 1:   Chapter 20. Degrees and Radians
  425.    wt: 1:   Chapter 19. Functions and Sets
  426.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  427.    wt: 1:   Chapter 15. Solving Linear Equations
  428.    wt: 1:   Chapter 12. Shorthand Usage Guide
  429.    wt: 1:   Chapter 11. Why Shorthand
  430.    wt: 1:   Chapter 10 Describing and Changing Calculations
  431.    wt: 1:   Chapter 6 Change of Language
  432.    wt: 1:   Chapter 4 Longer Chains of Reason
  433.    wt: 1:   Chapter 3 Chains of Reason
  434.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  435.    wt: 1:   Chapter 7 Two Treatments of Geometry
  436.    wt: 1:   Chapter 5 Four References
  437.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  438.    wt: 1:   Chapter 2 For and Against Mathematics
  439.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  440.    wt: 1:   Postscript B More on Story Telling and Reason
  441.    wt: 1:   Chapter 24 Direct and Indirect Reason
  442.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  443.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  444.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  445.    wt: 1:   Chapter 15 Objective Processes
  446.    wt: 1:   Chapter 8 Change of Language
  447.    wt: 1:   Chapter 7 Longer Chains of Reason
  448.    wt: 1:   Chapter 6 Chains of Reason
  449.    wt: 1:   Chapter 5 Deception
  450.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  451.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  452.    wt: 1:   O On Learning Mathematics and Science
  453.    wt: 1:   N Improving Marks on Tests and Finals
  454.    wt: 1:   J. More on written work and showing skill
  455.    wt: 1:   I. Logic and language skills
  456.    wt: 1:   H Jigsaw puzzles and problem solving
  457.    wt: 1:   G. Written work formats for developing and showing skill
  458.    wt: 1:   E. When and how to correct errors
  459.    wt: 1:   C. Domino effect of being careful
  460.    wt: 1:   B. Domino effect of errors
  461.    wt: 1:   How to Build Skills and Confidence
  462.    wt: 1:   Helping the Blind in Logic and Mathematics
  463.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  464.    wt: 1:   More Algebra and Slope based Calculus Preview
  465.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  466.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  467.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  468.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

901 matches:

  1.    wt: 8:   5 Similarity of Circles Squares and Rectangles
  2.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  3.    wt: 7:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  4.    wt: 7:   5 Zero Movement and Additive Inverses
  5.    wt: 7:   Chapter 5 Islands and Divisions of Knowledge
  6.    wt: 6:   15 cosecant function Definition Graph and Inverse
  7.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  8.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  9.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  10.    wt: 6:   5 An Easy Proof of the Distributive Law
  11.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  12.    wt: 6:   8 Similarity of Triangles and Polygons
  13.    wt: 6:   5 Algebraic View of Slopes
  14.    wt: 6:   5 Cartesian Addition and Translation
  15.    wt: 6:   1 More and Less Than for Counts and Measures
  16.    wt: 6:   17 GCD LCM of 85 and 60 via Prime
  17.    wt: 6:   10 Euclid Algorithm with 129 125 and with 45 14
  18.    wt: 6:   5 Common Divisors 60 45 via Prime
  19.    wt: 6:   5 lengths and signs of numbers
  20.    wt: 6:   5 Reciprocals and Division for Fractions with Units
  21.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
  22.    wt: 5:   15 Sign analysis of functions
  23.    wt: 5:   16 cotangent function Definition Graph and Inverse
  24.    wt: 5:   14 secant function Definition Graph and Inverse
  25.    wt: 5:   13 cosecant function Definition Graph and Inverse
  26.    wt: 5:   11 arctan left inverse of tangent Graph
  27.    wt: 5:   10 arctan left inverse of tangent Definition
  28.    wt: 5:   8 arcsin left inverse of sine Graph
  29.    wt: 5:   7 arcsin left inverse of sine Definition
  30.    wt: 5:   6 Graph of arccos function
  31.    wt: 5:   5 Swapping Coordinates is a reflection
  32.    wt: 5:   3 Left Inverse of cosine arccos definition
  33.    wt: 5:   15 Dot and Cross Product
  34.    wt: 5:   Parallel Lines and Parallel Transversals
  35.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  36.    wt: 5:   Parallel Lines and Interior Angles
  37.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  38.    wt: 5:   34 sines and cosines of 2A 3A 4A 5A
  39.    wt: 5:   33 sines and cosines of 2A 3A 4A 5A
  40.    wt: 5:   27 Logarithmic use of products of sines and cosines
  41.    wt: 5:   26 Formulas for products of sines and cosines
  42.    wt: 5:   23 sine and cosine of 180 plus 22.5 degrees
  43.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  44.    wt: 5:   9 Similarity of Triangles Usual Criteria
  45.    wt: 5:   7 Translations Rotations Reflections Dilatations
  46.    wt: 5:   1 Early Concept of Like or Similar Shapes
  47.    wt: 5:   10 Midpoint of [a b] and [b a]
  48.    wt: 5:   1 Numerical view of lines and their equations
  49.    wt: 5:   5 Distributive Law for Whole Numbers
  50.    wt: 5:   5 Areas of Rectangles Revisited
  51.    wt: 5:   5 Proportionality in Equivalent Fractions
  52.    wt: 5:   2 More and Less Than for Counts and Measures
  53.    wt: 5:   5 Three Examples
  54.    wt: 5:   3 Comparison of Negative Numbers
  55.    wt: 5:   2 More and Less Than with Unlike Signs
  56.    wt: 5:   14 GCD of 650 110 via Primes LCM via Product Rule
  57.    wt: 5:   9 GCD of 360 110 via Primes and Euclid Algorithm
  58.    wt: 5:   4 LCM of 8 and 10 via Prime
  59.    wt: 5:   1 Counting and Counting Methods I
  60.    wt: 5:   6 Simplification of Fractions with Units
  61.    wt: 5:   3 Multiplying Units and Numbers
  62.    wt: 5:   2 Equality and Units
  63.    wt: 5:   1 Addition and Subtraction with Units
  64.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  65.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  66.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  67.    wt: 5:   5 Equivalent Fractions
  68.    wt: 5:   D Remainders Modulo 11 Pair Rule
  69.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  70.    wt: 5:   11 Adding Integers Formulas and Examples
  71.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  72.    wt: 5:   27 Divisibility by 2 3 6 5 9 10 Example
  73.    wt: 5:   25 Divisibility Tests for 2 3 5 9 10 Example
  74.    wt: 5:   11 Remainder Arithmetic Long Division by 5 Quickly more
  75.    wt: 5:   5 Remainder Arithmetic Modulo 5
  76.    wt: 5:   15 video Factors of 20 using Prime Factorization
  77.    wt: 5:   5 Prime Factorization and a Square Rule
  78.    wt: 5:   5 A Tip for Efficent Subtraction
  79.    wt: 5:   6. Counting and adding units and mixed units
  80.    wt: 5:   5. How to add decimals C. Examples
  81.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
  82.    wt: 5:   5 Jumps and absence of unlimited error control
  83.    wt: 5:   Chapter 12 Islands and Divisions of Knowledge
  84.    wt: 4:   8 Set view of relations and functions
  85.    wt: 4:   5 Function notation for geometric transformations
  86.    wt: 4:   5 Natural Logarithm Calculator Exercises
  87.    wt: 4:   12 motivation for term arctan
  88.    wt: 4:   9 motivation for name arcsin
  89.    wt: 4:   4 possible motivation for term arccos
  90.    wt: 4:   2 cosine function more properties
  91.    wt: 4:   1 cosine function properties
  92.    wt: 4:   9 Summary Degrees to Radians and back
  93.    wt: 4:   8 Radian Measures of Common Angles
  94.    wt: 4:   5 Degrees to Radian Measure
  95.    wt: 4:   2 Radian Measure Numerical Value of one degree
  96.    wt: 4:   1 Degrees and Radians Introduction
  97.    wt: 4:   4 Resultant of a Sum of Movements
  98.    wt: 4:   Triangle Angles Sum To 180 Degrees
  99.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  100.    wt: 4:   Straight Lines Intersection of
  101.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  102.    wt: 4:   C Straight Lines Slope from Coordinates
  103.    wt: 4:   B Straight Line Slope Scaling Properties More
  104.    wt: 4:   A Straight Line Slope Scaling Properties
  105.    wt: 4:   14 Straight Lines Equations General Case
  106.    wt: 4:   5 Tangent Function Graph
  107.    wt: 4:   22 sine of 22.5 degrees via half angle formulas
  108.    wt: 4:   17F Law of cosines
  109.    wt: 4:   17E Trig Formulas for dot and cross Products
  110.    wt: 4:   17D cis formulas for sine cosines and tangent
  111.    wt: 4:   17C sine and cosine double triple angle formulas
  112.    wt: 4:   14 cosine even and sine and tangent are odd
  113.    wt: 4:   10 Graphs of sines and cosines many periods
  114.    wt: 4:   9 Graphs of sine and cosine over one period
  115.    wt: 4:   8 period of tangent function
  116.    wt: 4:   7 period of sine and cosine
  117.    wt: 4:   5 sines and cosines for reference angle 60 degrees
  118.    wt: 4:   4 sines and cosines for reference angle 45 degrees
  119.    wt: 4:   Unit Circle Development of Trigonometry
  120.    wt: 4:   15 Pythagorean Theorem Converse
  121.    wt: 4:   5 Trigonometric Ratios For Tangent and Special Triangles
  122.    wt: 4:   12 Triangles Similarity More Problems
  123.    wt: 4:   11 Triangle Similarity Missing Side Problem
  124.    wt: 4:   6 Geometric Diagrams in Class
  125.    wt: 4:   4 Similarity Definition with Coordinate
  126.    wt: 4:   3 Similarity by Design with coordinates
  127.    wt: 4:   2 Similarity By Design
  128.    wt: 4:   7 Exercises to test skill and concept mastery
  129.    wt: 4:   6 Intersection of lines by solving linear systems
  130.    wt: 4:   What is and is not here
  131.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  132.    wt: 4:   6 Polar Multiplication and Rotation
  133.    wt: 4:   4 Polar Coordinates to and from
  134.    wt: 4:   15 Triangle Angle Sum is 180 degrees
  135.    wt: 4:   5 Side Angle Side
  136.    wt: 4:   3 Lengths and Areas on Maps and Plans
  137.    wt: 4:   B Decimal Comparison and Subtraction
  138.    wt: 4:   2 Combing Counts Addition Skills and Principles
  139.    wt: 4:   1 The Counting Origins of Numbers
  140.    wt: 4:   1 Decimals Modular and Remainder Arithmetic
  141.    wt: 4:   4 Rates Ratios and Proporitionality
  142.    wt: 4:   6 Equations and Systems Equivalent or Implied
  143.    wt: 4:   5 Equality in Algebra
  144.    wt: 4:   4 Subtraction and Division Axioms
  145.    wt: 4:   2 Addition and Multiplication Axioms
  146.    wt: 4:   5 Greater More Less Than Signs in General
  147.    wt: 4:   4 Comparison of Negative Numbers
  148.    wt: 4:   3 More and Less Than with Unlike Signs
  149.    wt: 4:   15 Real Number Division
  150.    wt: 4:   10 Real Number Lengths and Signs
  151.    wt: 4:   8 Coordinates for Maps and Planes
  152.    wt: 4:   5 Rational Numbers More
  153.    wt: 4:   1 Whole and Natural Numbers
  154.    wt: 4:   5 Independent versus Dependent Variables
  155.    wt: 4:   3 Geometric Formulas and Function Notation
  156.    wt: 4:   1 Formulas Dependence and Function Notation
  157.    wt: 4:   5 Gaussian Elimination for 3 unknowns 2nd example
  158.    wt: 4:   5 Algebraic Solutions Introduction
  159.    wt: 4:   4 Greater More Less Than Signs in General
  160.    wt: 4:   5 Square Roots with primes more still
  161.    wt: 4:   3 Properties of Square Roots with example
  162.    wt: 4:   2 Square Roots with Prime
  163.    wt: 4:   1 Squares and Square Roots Introduction
  164.    wt: 4:   11 GCD 2700 288 via Euclid Algorithm
  165.    wt: 4:   7 GCD and LCM from prime factorization
  166.    wt: 4:   LCM 60 45 Avoid List Method Use Prime
  167.    wt: 4:   5 Counting with Tables Trees Product Rule Take II
  168.    wt: 4:   3 Counting with Tables and Trees II
  169.    wt: 4:   2 Counting with Tables and Trees I
  170.    wt: 4:   7 Converting or Changing Units
  171.    wt: 4:   4 Fractions with Units
  172.    wt: 4:   B Fractions and Two Term Ratios
  173.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  174.    wt: 4:   21 Reciprocals for Fractions and Wholes
  175.    wt: 4:   17 Efficient Ways to Add and Subtract
  176.    wt: 4:   14 Adding and Subtracting with Like Denominators
  177.    wt: 4:   9 Improper Fractions and Mixed Numbers
  178.    wt: 4:   3 Unit fraction of a fraction
  179.    wt: 4:   B Integer Long Division Multiple Choices
  180.    wt: 4:   A Associative Law Theorectical Note
  181.    wt: 4:   13 Subtraction with Additive Inverse
  182.    wt: 4:   12 Adding Integers More Examples
  183.    wt: 4:   10 Integer Multiplication Formulas
  184.    wt: 4:   9 Multiplying Integers
  185.    wt: 4:   8 Multiplication by Signed Numbers Integers
  186.    wt: 4:   7 Multiplication by Signs
  187.    wt: 4:   6 Multiplication by Natural Numbers
  188.    wt: 4:   4 Adding Movements wiht opposite directions
  189.    wt: 4:   3 Adding Movements with same direction
  190.    wt: 4:   1 Integers as Coordinates
  191.    wt: 4:   A Decimals Modular and Remainder Arithmetic
  192.    wt: 4:   26 Divisibility by 2 3 5 Example
  193.    wt: 4:   24 Divisibility Tests for 2 3 5 9 10
  194.    wt: 4:   21 Remainder Arithmetic Modulo 3
  195.    wt: 4:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  196.    wt: 4:   19 Remainder Arithmetic Rule of 9 for checking sums III
  197.    wt: 4:   18 Remainder Arithmetic Rule of 9 for checking sums II
  198.    wt: 4:   17 Remainder Arithmetic Rule of 9 for checking sums I
  199.    wt: 4:   15 Remainder Arithmetic Modulo 9 Example
  200.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
  201.    wt: 4:   10 Remainder Arithmetic Long Division by 5 Quickly
  202.    wt: 4:   9 Remainder Arithmetic Divisibility by 5
  203.    wt: 4:   8 Remainder Arithmetic Morulo 5 Examples II
  204.    wt: 4:   7 Remainder Arithmetic Modulo 5 Examples I
  205.    wt: 4:   6 Remainder Arithmetic Modulo 5 Propertie
  206.    wt: 4:   1 Remainder Arithmetic Modulo 10
  207.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  208.    wt: 4:   Division with Counts and Length
  209.    wt: 4:   5 Long Division Include Zeroes or not
  210.    wt: 4:   5 Decimal Fraction Multiplication
  211.    wt: 4:   1 Why 3 times 5 gives 15
  212.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
  213.    wt: 4:   8 Subtraction with Units of Measure
  214.    wt: 4:   4 Subtraction with Conversions Borrows and Letter J
  215.    wt: 4:   3 Harder Cases Convert to Compare and Subtract
  216.    wt: 4:   1 Comparison and Subtraction Easy Direct Cases
  217.    wt: 4:   Appendix 1 Counting Revisited 15 minute video
  218.    wt: 4:   8 What skills and work habits to require
  219.    wt: 4:   10 Names for Big Numbers and Powers of Ten Expansion
  220.    wt: 4:   Quick history of numbers and algebra
  221.    wt: 4:   Exact Arithmetic Wholes and Fractions
  222.    wt: 4:   Practical Methods Ends and Values for Arithmetic
  223.    wt: 4:   Example 1 volume of a pyramid
  224.    wt: 4:   Example 1. Area Between x and x squared
  225.    wt: 4:   17 Derivatives of quotients of sine and cosine
  226.    wt: 4:   16 Derivatives of reciprocals of sine and cosine
  227.    wt: 3:   5 logarithms and exponentials etc
  228.    wt: 3:   Theory of Knowledge
  229.    wt: 3:   5 Patience Please for Yourself and Your Charges
  230.    wt: 3:   sign monoticity analysis example 4
  231.    wt: 3:   sign monoticity analysis example 3
  232.    wt: 3:   sign monoticity analysis example 2
  233.    wt: 3:   sign monoticity analysis example 1
  234.    wt: 3:   26 Function definitions done and coming
  235.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  236.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  237.    wt: 3:   19 Horizontal line rule and method
  238.    wt: 3:   18 Vertical Line Rule and Method
  239.    wt: 3:   17 Function maxima minima and their location
  240.    wt: 3:   11 Function Domain Range Source and Targets
  241.    wt: 3:   6 Set Existence Formation and Notation
  242.    wt: 3:   4 Function notation in and beyond mathematics
  243.    wt: 3:   2 Algebraic use of function notation
  244.    wt: 3:   1 Geometric Introduction of Function Notation
  245.    wt: 3:   A Quadratics Summary
  246.    wt: 3:   9 quadratics physical and further context
  247.    wt: 3:   8 quadratics backward use of various formulas
  248.    wt: 3:   5 quadratics completing the square
  249.    wt: 3:   4 quadratics difference of two squares
  250.    wt: 3:   11 Growth and Decay in Biology
  251.    wt: 3:   10 Exponential Growth and Decay Models
  252.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  253.    wt: 3:   3 Natural Logarithms and Exponentials Basic Properties
  254.    wt: 3:   6 Polynomial Operations and Equivalent Computation Rules
  255.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  256.    wt: 3:   7 Radian Measures in special Triangles
  257.    wt: 3:   6 Radian Measure to Degrees
  258.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  259.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  260.    wt: 3:   A Global Time and Navigation
  261.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  262.    wt: 3:   6 Vectors with Coordinates
  263.    wt: 3:   5 Head To Tail Arrow Addition
  264.    wt: 3:   Vector and Complex Number Applet
  265.    wt: 3:   4 graphing y=Asin(x c)
  266.    wt: 3:   3 graphing y=f(x c) plus K
  267.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  268.    wt: 3:   1 graphing y=f(x a)
  269.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  270.    wt: 3:   Straight Lines ASA Intersection Study More
  271.    wt: 3:   Straight Lines ASA Intersection Study
  272.    wt: 3:   Straight Lines Instersection Solving Equations
  273.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  274.    wt: 3:   12 Straight Lines Graphing mx plus b
  275.    wt: 3:   11 Straight Lines Graphing y=mx
  276.    wt: 3:   10 Straight Lines through Origin Equations More
  277.    wt: 3:   9 Straight Lines through Origin Equations
  278.    wt: 3:   8 Straight Lines Equation for vertical
  279.    wt: 3:   7 Tangent Function is odd on this domain
  280.    wt: 3:   6 Tangent Function Inclination Angle Take 2
  281.    wt: 3:   4 Tangent Function Properties
  282.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  283.    wt: 3:   1 Straight Lines Slope Concept
  284.    wt: 3:   32 seven rows of pascals triangle
  285.    wt: 3:   30 unit circle calculation of six trigonometric functions
  286.    wt: 3:   29 secant cosecant and cotangent for acute angles
  287.    wt: 3:   28 Expressing products of sines cosines as sums
  288.    wt: 3:   25 tangent double angle formula Slope connection
  289.    wt: 3:   21 sine and cosine Half Angle Formulas
  290.    wt: 3:   20 sine and cosine Double Angle Formulas
  291.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  292.    wt: 3:   18 sum of sinusoidal waves as a single wave
  293.    wt: 3:   17G Pythagorean Theorem Converse
  294.    wt: 3:   17B sine cosine Angle Sum Formulas via cis
  295.    wt: 3:   17A The complex number valued trig function cis
  296.    wt: 3:   15 sine cosine Complementary Angle Relations
  297.    wt: 3:   13 Graph of tangent function many periods
  298.    wt: 3:   12 Graph of tangent function for one period
  299.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  300.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  301.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  302.    wt: 3:   21 Logarithms Powers and Exponentials
  303.    wt: 3:   20 N th Roots of Complex Numbers
  304.    wt: 3:   19 N th Roots of Unity
  305.    wt: 3:   18 Sixth Roots of Unity
  306.    wt: 3:   17 Cube Roots of unity
  307.    wt: 3:   16 References and Originality Question
  308.    wt: 3:   14 Law of cosines
  309.    wt: 3:   13 Trig Formulas for dot and cross Products
  310.    wt: 3:   12 cis formulas for sine cosines and tangent
  311.    wt: 3:   11 sine and cosine double triple angle formulas
  312.    wt: 3:   8 Unit Circle Development of Trigonometry
  313.    wt: 3:   6 Field Properties of Complex Number
  314.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
  315.    wt: 3:   3 Trigonometric Ratios sine and cosine
  316.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  317.    wt: 3:   Right Triangle and Unit Circle Trigonometry
  318.    wt: 3:   Four Simple Exercises
  319.    wt: 3:   12 Links Lessons elsewhere
  320.    wt: 3:   11 A Partial Summary
  321.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  322.    wt: 3:   8 Mid Point Formula
  323.    wt: 3:   4 Equations for lines three forms
  324.    wt: 3:   3 Slope product for perpendicular lines
  325.    wt: 3:   2 point slope equation for a line
  326.    wt: 3:   13 Pythagorean spatial distance formulas
  327.    wt: 3:   12 Spatial Coordinates
  328.    wt: 3:   11 Triangle Inequality
  329.    wt: 3:   10 Pythagorean plane distance formula
  330.    wt: 3:   8 Distance Between Points on a Line
  331.    wt: 3:   7 Complex Numbers Appetizer
  332.    wt: 3:   3 Rectangular Coordinates Review
  333.    wt: 3:   2 Cartesian Coordinates with signs
  334.    wt: 3:   1 Cartesian Coordinates sans signs
  335.    wt: 3:   PS E Multiplication with Polar Coordinates
  336.    wt: 3:   17 Right Bisectors of Triangle Sides
  337.    wt: 3:   16 Angles Subtended By Chords and Diameters
  338.    wt: 3:   9 Construction of a right bisector
  339.    wt: 3:   6 Ruler and compass Angle Bisection
  340.    wt: 3:   3 Isometry of Triangles Congruence
  341.    wt: 3:   1 Initial Concepts and Terms
  342.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  343.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  344.    wt: 3:   21 Addition of Multiples of a Single Vector
  345.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  346.    wt: 3:   8 Division and Mulplication of Compound Fractions
  347.    wt: 3:   E Long Division Methods more
  348.    wt: 3:   D Long Division Methods
  349.    wt: 3:   C Three Decimal Subtraction Methods
  350.    wt: 3:   A Decimal Addition Columm Methods
  351.    wt: 3:   8 Column Multiplication Methods in General
  352.    wt: 3:   7 Decimals Multiplication Methods Examples
  353.    wt: 3:   6 Column Methods for Decimal Multiplication
  354.    wt: 3:   4 Commutative Law Groups Counting Form
  355.    wt: 3:   3 Multiplicative Counting Skills Principles
  356.    wt: 3:   4 Fraction Operations Axiomatic Development
  357.    wt: 3:   3 Inequalities Algebraically
  358.    wt: 3:   2 Fraction Operations Physical Development
  359.    wt: 3:   3 Proportionality Examples
  360.    wt: 3:   2 Algebraic View
  361.    wt: 3:   1 What is Proportionality
  362.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  363.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  364.    wt: 3:   6 Compound Interest Forward and Backwards
  365.    wt: 3:   5 Triangle Area Formula Backwards
  366.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  367.    wt: 3:   3 Product Axioms Two Forms
  368.    wt: 3:   1 Equivalent Computation Rules
  369.    wt: 3:   1 Real Numbers Comparison
  370.    wt: 3:   16 Real Numbers Comparison
  371.    wt: 3:   14 Real Number Multiplication
  372.    wt: 3:   13 Real Number Subtraction
  373.    wt: 3:   12 Real Number Additive Inverses or Negatives
  374.    wt: 3:   11 Real Number Addition
  375.    wt: 3:   9 Coordinates for Regions in Space
  376.    wt: 3:   7 Real Numbers as Line Cordinates
  377.    wt: 3:   6 Unsigned Real Numbers
  378.    wt: 3:   4 Rational Numbers
  379.    wt: 3:   3 Fractions
  380.    wt: 3:   2 Integers
  381.    wt: 3:   4 Changing Letters
  382.    wt: 3:   2 Computation Rules Evaluation
  383.    wt: 3:   More Exercises
  384.    wt: 3:   3 GE III Equation Addition and Multiplication
  385.    wt: 3:   Skill Development Notes
  386.    wt: 3:   10 One Example
  387.    wt: 3:   9 Three Examples
  388.    wt: 3:   8 One Example
  389.    wt: 3:   7 Two Examples
  390.    wt: 3:   6 Three Examples
  391.    wt: 3:   4 Two Examples
  392.    wt: 3:   3 Two Examples
  393.    wt: 3:   2 Three Examples
  394.    wt: 3:   11 Volume of Sphere
  395.    wt: 3:   10 Volume of Pyramid
  396.    wt: 3:   9 Volume of Cone
  397.    wt: 3:   5 Box Volume Formula Example
  398.    wt: 3:   1 Written work formats for developing and showing skill
  399.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  400.    wt: 3:   9 Sets in Probability and Statistics
  401.    wt: 3:   8 Sets of Numbers
  402.    wt: 3:   5 Product Builder Notation
  403.    wt: 3:   5 Talking about Numbers and Quantities
  404.    wt: 3:   4 A Brief Story of numbers and algebra
  405.    wt: 3:   4 Square Roots with primes more
  406.    wt: 3:   13 GCD from given Prime Factorization
  407.    wt: 3:   8 GCD from Euclidean Algorithm
  408.    wt: 3:   6 GCD from Prime
  409.    wt: 3:   2 Least Common Multiple LCM intro via list method
  410.    wt: 3:   1 Least Common Multiples LCM Introduction
  411.    wt: 3:   12 GCD 2700 288 via Prime
  412.    wt: 3:   4 Counting with Trees Product Rule Take I
  413.    wt: 3:   11 What are real lengths and numbers
  414.    wt: 3:   7 negative and additive inverse
  415.    wt: 3:   3 signed coordinates for maps and planes
  416.    wt: 3:   2 signed and unsigned numbers as coordinates
  417.    wt: 3:   D Three Term Ratios
  418.    wt: 3:   22 Complex Compound Fractions
  419.    wt: 3:   21 Working With Signs
  420.    wt: 3:   20 Dividing Fractions the Why
  421.    wt: 3:   19 Dividing Fractions How TO
  422.    wt: 3:   18 Efficient Ways to Multiply
  423.    wt: 3:   16 Addition Subtraction Comparision Compared
  424.    wt: 3:   13 Fraction Comparison Algebraic View
  425.    wt: 3:   12 Fraction Comparison
  426.    wt: 3:   11 Simplification an Algebraic View
  427.    wt: 3:   8 Numerals Fractionals Quantals Take II
  428.    wt: 3:   7 Numerals Fractionals Quantals
  429.    wt: 3:   6 Multiplication Algebraically Take II
  430.    wt: 3:   4 Fraction Multiplication
  431.    wt: 3:   2 Unit Fraction Multiplication
  432.    wt: 3:   1 What is a fraction Take II
  433.    wt: 3:   1 What is a fraction
  434.    wt: 3:   23 Remainder Arithmetic Modulo 2
  435.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  436.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
  437.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  438.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
  439.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
  440.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
  441.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  442.    wt: 3:   20 Uniqueness of Prime Factorization
  443.    wt: 3:   17 Identify and Count Factors using Primes
  444.    wt: 3:   16 video Factors of 980 using prime
  445.    wt: 3:   14 video Factors of 24 Take II
  446.    wt: 3:   13 video Factors of 24 using prime
  447.    wt: 3:   12 LCD GCD and LCM using Primes
  448.    wt: 3:   7 Calculator Usage Notes and Cautions
  449.    wt: 3:   3 video Primes and Composites from 9 times table
  450.    wt: 3:   2 Prime and Composites less than 16
  451.    wt: 3:   Long Division forwards and backwards Example 3
  452.    wt: 3:   Long Division forwards and backwards Example 2
  453.    wt: 3:   Long Division forwards and backwards Example 1
  454.    wt: 3:   10 Division by Five Long and Short Ways
  455.    wt: 3:   C Counting Areas with Powers of Ten
  456.    wt: 3:   B Powers of Ten
  457.    wt: 3:   4 Two and Three Digit Multipliers
  458.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
  459.    wt: 3:   Subtraction with J Conversions Example
  460.    wt: 3:   Subtraction Another Video Lesson
  461.    wt: 3:   9 22 Minute Subtraction Review Video
  462.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  463.    wt: 3:   6 Subtraction with Conversion Example with Exercises
  464.    wt: 3:   2 Subtraction Easy Case Examples
  465.    wt: 3:   7 Adding decimal fractions using decimal point
  466.    wt: 3:   4. How to add with decimals B with conversions
  467.    wt: 3:   3. How to add with decimals A sans conversions
  468.    wt: 3:   2 Decimal Counting Practices
  469.    wt: 3:   1. Explaining Addition Table
  470.    wt: 3:   11 Place Value SI Standard International way
  471.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  472.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  473.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  474.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  475.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  476.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  477.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  478.    wt: 3:   015 School and work day counting tables
  479.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  480.    wt: 3:   4 Mixing and Changing Units of Time
  481.    wt: 3:   3 Units and Lengths of Time
  482.    wt: 3:   Example 2 volume of a cone
  483.    wt: 3:   Volume of Solid by Cross Sections Lesson
  484.    wt: 3:   Example 4 with x function of y
  485.    wt: 3:   15 sine and cosine derivatives 3rd step
  486.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  487.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  488.    wt: 3:   Chapter 15. Algebraic Evaluation of Limits
  489.    wt: 3:   Chapter 16 Origins and Limitations of Rules and Patterns
  490.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  491.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  492.    wt: 3:   O On Learning Mathematics and Science
  493.    wt: 3:   E. When and how to correct errors
  494.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  495.    wt: 2:   Skills Chapter 5 Calculus
  496.    wt: 2:   site origins
  497.    wt: 2:   key notes and themes
  498.    wt: 2:   What to Tell Students
  499.    wt: 2:   E Energy Power05
  500.    wt: 2:   D Kirchoff First Law
  501.    wt: 2:   Home Tutoring and Home Schooling
  502.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  503.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  504.    wt: 2:   15 Counting For Parents
  505.    wt: 2:   23 Inverse Functions
  506.    wt: 2:   22 Square Root function graphically
  507.    wt: 2:   20 Interchanging coordinates a reflection
  508.    wt: 2:   16 Increasing or decreasing on intervals
  509.    wt: 2:   14 Surjections Injections Bijections
  510.    wt: 2:   13 From one to one to many to one
  511.    wt: 2:   12 Function Domain Recognition Exercises
  512.    wt: 2:   10 Interval Notation
  513.    wt: 2:   9 Set theory term relation possible origins
  514.    wt: 2:   7 Functions with finite domains
  515.    wt: 2:   3 Formula or function graphing exercise
  516.    wt: 2:   Introduction Reading Guide
  517.    wt: 2:   10 quadratic exercises
  518.    wt: 2:   7 quadratic formulla derivation
  519.    wt: 2:   6 quadratics numerical approach
  520.    wt: 2:   3 quadratics factoring by inspection
  521.    wt: 2:   2 quadratics graphing in general
  522.    wt: 2:   1 quadratics graphing exercises
  523.    wt: 2:   Quadratics in 10 steps
  524.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  525.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  526.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  527.    wt: 2:   2 Square Root Simplification a prequel
  528.    wt: 2:   1 Calculator Starter Exercises
  529.    wt: 2:   8 Notes for instructors or tutors
  530.    wt: 2:   7 Links Lessons Elsewhere
  531.    wt: 2:   4 Polynomials Long division linear divisor
  532.    wt: 2:   3 Polynomials Multiplication Addition
  533.    wt: 2:   2 Column Multiplication Method
  534.    wt: 2:   1 Polynomials Distributive Law
  535.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  536.    wt: 2:   13 Velocity Vectors in Physics
  537.    wt: 2:   12 From Applied To Pure Mathematics
  538.    wt: 2:   11 Component Method
  539.    wt: 2:   10 Parallelogram Addition Method
  540.    wt: 2:   9 Head to Tail Coordinate View
  541.    wt: 2:   8 Parallel Vectors
  542.    wt: 2:   3 Navigation with Arrows or Vectors
  543.    wt: 2:   2 Signed Coordinates
  544.    wt: 2:   1 Unsigned Coordinates
  545.    wt: 2:   17 tangent function angle sum formulas
  546.    wt: 2:   31 basic secant cosecant cotangent trig identities
  547.    wt: 2:   24 tangent Angle Difference Formula
  548.    wt: 2:   16 Right Triangle Complementary Angle Relations
  549.    wt: 2:   11 tangent function undefined when terminal side vertical
  550.    wt: 2:   2 Quadrant I reference Angles
  551.    wt: 2:   1 Unit Points Reflections Rotations
  552.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  553.    wt: 2:   9 The complex number valued trig function cis
  554.    wt: 2:   7 Second Way to Calculate Products
  555.    wt: 2:   4 Multiplication Properties
  556.    wt: 2:   3 Addition Properties
  557.    wt: 2:   2 Complex Numbers made easier we hope
  558.    wt: 2:   1 Rectangular Polar Coordinates Review
  559.    wt: 2:   Appetizer A Complex Number Applet
  560.    wt: 2:   8 Triangles Cascade Problem Solving
  561.    wt: 2:   7 Trignometric Ratios Unit Circle
  562.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  563.    wt: 2:   1 Angle Measurement with Degrees
  564.    wt: 2:   Why Trigonometry the whyslopes view
  565.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  566.    wt: 2:   PS H Distributive Law For Complex Numbers
  567.    wt: 2:   PS G Rotation Distributes over Addition
  568.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  569.    wt: 2:   PS D Addition with Cartesian Coordinates
  570.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  571.    wt: 2:   PS B Parallelogram Construction Methods
  572.    wt: 2:   PS A Kite Construction Methods
  573.    wt: 2:   21 Parallelograms
  574.    wt: 2:   19 Right Triangle Similarity
  575.    wt: 2:   18 Triangle Similarity Take 1
  576.    wt: 2:   14 Parallel Lines Postulate
  577.    wt: 2:   13 Angle Side Angle Failure
  578.    wt: 2:   12 Side Angle Side Failure
  579.    wt: 2:   11 Triangle Construction Fails
  580.    wt: 2:   10 Dropping a perpendicular to line
  581.    wt: 2:   8 Isoceles Triangles
  582.    wt: 2:   7 Angle Side Angle
  583.    wt: 2:   4 Side Side Side
  584.    wt: 2:   2 Correspondence between Triangles
  585.    wt: 2:   Short Course on Euclidean Geometry
  586.    wt: 2:   A Measurement with Ruler Proper Use
  587.    wt: 2:   6 Figuring with Maps Not to Scale
  588.    wt: 2:   4 Angles on Maps Plans drawn to scale
  589.    wt: 2:   2 Measuring Area Directly
  590.    wt: 2:   1 Length Measurement
  591.    wt: 2:   About Folder Contents
  592.    wt: 2:   A Modular and Remainder Arithmetic
  593.    wt: 2:   25 Mid way Convergence to Axiomatic Approach
  594.    wt: 2:   22 Multiplication of Signed Numbers
  595.    wt: 2:   19 Signed Multiples of Vectors
  596.    wt: 2:   15 Head to Tails in place Addition Associative
  597.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  598.    wt: 2:   13 Arrows and Vectors in a Plane
  599.    wt: 2:   11 Signed Number Addition and Addition Properties
  600.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  601.    wt: 2:   4 Location of Point in Decimal Addition
  602.    wt: 2:   3 Location of Point in Decimal Multiplication
  603.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  604.    wt: 2:   3 Linear Equation Literal Solution More
  605.    wt: 2:   2 Linear Equation Literal Solution
  606.    wt: 2:   1 Changing Calculations
  607.    wt: 2:   Simple Exercises
  608.    wt: 2:   4 GE III Animated Examples
  609.    wt: 2:   3 Gaussian Elimination 3 unknowns first example
  610.    wt: 2:   2 GE II Comparison
  611.    wt: 2:   1 GE Substitution four examples
  612.    wt: 2:   4 Solving a triangular system exercise
  613.    wt: 2:   3 Solving triangular system example
  614.    wt: 2:   2 Essentially one exercises three with solution
  615.    wt: 2:   1 Essentially One Unknown
  616.    wt: 2:   6 Algebraic Solution Example
  617.    wt: 2:   4 Four Examples Fractional Coefficients
  618.    wt: 2:   3 Four Examples
  619.    wt: 2:   2 Three Examples
  620.    wt: 2:   1 Proper Equal Sign Usage
  621.    wt: 2:   Using Letters for Physical Quantities
  622.    wt: 2:   Formula Usage Show Work Format
  623.    wt: 2:   13 Naming Identifying Formulas with Words
  624.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  625.    wt: 2:   8 Compound Interest Formula Evaluation
  626.    wt: 2:   7 Compound Interest Formula Introduction
  627.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  628.    wt: 2:   4 Circle Area Formula Example
  629.    wt: 2:   3 Triangle Area Formula Example
  630.    wt: 2:   2 Another Rectangle Area Formula Example
  631.    wt: 2:   7 Cautious or Safe Set Construction
  632.    wt: 2:   6 Power Set Notation
  633.    wt: 2:   4 Subset Builder Notation
  634.    wt: 2:   3 Counting with Sets etc
  635.    wt: 2:   2 Venn Diagrams
  636.    wt: 2:   1 Finite Sets
  637.    wt: 2:   6 Three Notions of What is a Variable
  638.    wt: 2:   arithmetic videos Real Player Format
  639.    wt: 2:   10 dividing signed numbers
  640.    wt: 2:   9 subtracting signed numbers
  641.    wt: 2:   8 multiplying signed numbers
  642.    wt: 2:   6 adding signed numbers
  643.    wt: 2:   4 signed coordinates for regions in space
  644.    wt: 2:   19 video Prime Factorization Unique
  645.    wt: 2:   18 video Count Factors given Prime Factorization
  646.    wt: 2:   11 Efficient Square Rule Use
  647.    wt: 2:   10 video Prime Factorization upto 23 squared
  648.    wt: 2:   9 video Prime Factorization upto 19 squared
  649.    wt: 2:   8 video Prime Factorization upto 19
  650.    wt: 2:   4 video Prime Factorization Introduction
  651.    wt: 2:   1 video how Products are bigger than factor
  652.    wt: 2:   Long Division Backwards more
  653.    wt: 2:   Long Division Backward
  654.    wt: 2:   12 Why Long Division Works Take III
  655.    wt: 2:   11 Another Single Digit Divisor Example
  656.    wt: 2:   9 Why Long Division Works Take II
  657.    wt: 2:   8 Correcting the Mistake
  658.    wt: 2:   7 Long Divison Mistake Catching
  659.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  660.    wt: 2:   4 Division with 2 Digit Divsors
  661.    wt: 2:   3 Division Single Digit Divisor Example
  662.    wt: 2:   2 Division with Single Digit Divisors
  663.    wt: 2:   1 Divsion Physical Examples
  664.    wt: 2:   D Decimal Multiplication Methods Derived
  665.    wt: 2:   A Elementary Basis for Multiplication Methods
  666.    wt: 2:   6 Multiplication Commutes Order Not Important
  667.    wt: 2:   3 More One Digit Multipliers
  668.    wt: 2:   2 One Digit Multipliers
  669.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  670.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  671.    wt: 2:   Video Power Notation in Decimal Expansion
  672.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  673.    wt: 2:   Formula Evaluation how to show work
  674.    wt: 2:   Expression Evaluation how to show work
  675.    wt: 2:   The 20 Times Table
  676.    wt: 2:   The 12 Times Table Visually
  677.    wt: 2:   About folder contents
  678.    wt: 2:   012 Division of Time Intervals by Time Intervals
  679.    wt: 2:   011 Division of Time Intervals By Numbers
  680.    wt: 2:   010 Repeated Addition of Time Intervals
  681.    wt: 2:   8 Addition of Time Intervals via subtotaling
  682.    wt: 2:   7 Addition of Time Intervals
  683.    wt: 2:   5 Conversion Arithmetic
  684.    wt: 2:   2 Time and Date Matters in School
  685.    wt: 2:   1 Intro of Kids To Time Date Skills
  686.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  687.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  688.    wt: 2:   Example 3
  689.    wt: 2:   Example 2
  690.    wt: 2:   Example 1
  691.    wt: 2:   Area Between Curves Lesson Take 2
  692.    wt: 2:   Area Between Curves Lesson Take 1
  693.    wt: 2:   Summary
  694.    wt: 2:   5 Area Under Curve Exercise
  695.    wt: 2:   3 Two Chain Rule Method Exercises
  696.    wt: 2:   38 Formulas and derivatives for powers and roots
  697.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  698.    wt: 2:   9 Limits Continuity and Composition
  699.    wt: 2:   3 Decimal insights for limits continuity convergence
  700.    wt: 2:   PostScript For and Against Decimal Perspectives
  701.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  702.    wt: 2:   Chapter 15. Slope Approximation
  703.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  704.    wt: 2:   Chapter 5. Slope Sign Tests
  705.    wt: 2:   Appendix E. How To Study Mathematics and Why
  706.    wt: 2:   Chapter 25. Mathematical Induction Examples
  707.    wt: 2:   Chapter 25. Mathematical Induction Examples
  708.    wt: 2:   Chapter 15. Solving Linear Equations
  709.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  710.    wt: 2:   Chapter 5 Four References
  711.    wt: 2:   Chapter 18 Sense and Knowledge
  712.    wt: 2:   Chapter 15 Objective Processes
  713.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  714.    wt: 2:   Chapter 5 Deception
  715.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  716.    wt: 2:   N Improving Marks on Tests and Finals
  717.    wt: 2:   J. More on written work and showing skill
  718.    wt: 2:   I. Logic and language skills
  719.    wt: 2:   H more Routine to non routine problem solving
  720.    wt: 2:   H Jigsaw puzzles and problem solving
  721.    wt: 2:   G. Written work formats for developing and showing skill
  722.    wt: 2:   C. Domino effect of being careful
  723.    wt: 2:   B. Domino effect of errors
  724.    wt: 2:   How to Build Skills and Confidence
  725.    wt: 2:   Helping the Blind in Logic and Mathematics
  726.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  727.    wt: 2:   More Algebra and Slope based Calculus Preview
  728.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  729.    wt: 1:   Appendix 1 primary and preschool mathematic
  730.    wt: 1:   K LAMP Musings Science Education
  731.    wt: 1:   J LAMP Introduction Extrinsic Origins
  732.    wt: 1:   I LAMP Introduction Study Habits
  733.    wt: 1:   H LAMP Introduction Instructional Concepts
  734.    wt: 1:   G LAMP Introduction Problem Solving Skills
  735.    wt: 1:   F LAMP Introduction Prerequisites
  736.    wt: 1:   E LAMP Introduction Modern Mathematics
  737.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  738.    wt: 1:   A Introduction Objectives
  739.    wt: 1:   Ramblings Introduction Algebra Essay
  740.    wt: 1:   7 logic review and decimals an odd combination
  741.    wt: 1:   three goals to set for students
  742.    wt: 1:   site eurekas
  743.    wt: 1:   About site lesson plans
  744.    wt: 1:   Mathematics Education Professors
  745.    wt: 1:   what should be learnt and When
  746.    wt: 1:   Postscript 2007 01 10
  747.    wt: 1:   five decades make a difference
  748.    wt: 1:   Maps Plans Drawings
  749.    wt: 1:   mathematics curriculum shifts
  750.    wt: 1:   Lessening Algebra Difficulties
  751.    wt: 1:   05 13 OldSiteEntrancePage
  752.    wt: 1:   04 25 when to stop or suspend mathemat
  753.    wt: 1:   standards for course material
  754.    wt: 1:   formal or informal peer review
  755.    wt: 1:   mathematics instruction in general
  756.    wt: 1:   Education in mathematics science and technology
  757.    wt: 1:   Different Kinds of Reasoning in maths
  758.    wt: 1:   three kinds of reason in mathematics
  759.    wt: 1:   Motivation and Context Problem
  760.    wt: 1:   need for a mixed mathematics curriculum
  761.    wt: 1:   fairness and inductive principles for instruction
  762.    wt: 1:   words for mathematics instructor
  763.    wt: 1:   chapitre 05 00 Deception
  764.    wt: 1:   chapitre 04 05 Implication versus suggestion
  765.    wt: 1:   C Wire Resistance Calculation01
  766.    wt: 1:   2 Unlike resistors in parallel01
  767.    wt: 1:   E Kirchoffs Second Law
  768.    wt: 1:   24 Standards For Skill Develoment Take II
  769.    wt: 1:   24 Standards For Skill Develoment
  770.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  771.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  772.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  773.    wt: 1:   17 Math Booklets for children and young teenagers
  774.    wt: 1:   14 Multiplication and Times Tables
  775.    wt: 1:   13 Addition and Addition Tables
  776.    wt: 1:   12 Goals and Objectives For Mathematics
  777.    wt: 1:   11 Help and Defend Your Child or Teens Education
  778.    wt: 1:   8 The Effect of Negative Remarks
  779.    wt: 1:   4 Learning Takes Time and Effort
  780.    wt: 1:   2 Reading and Writing Skills
  781.    wt: 1:   Ages 6 to 7
  782.    wt: 1:   Ages 4 plus to 5 plus
  783.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  784.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  785.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  786.    wt: 1:   Rewriting algebraic substitution as function substitutions
  787.    wt: 1:   musings do not puiblish real numbers
  788.    wt: 1:   A Signed Number Arithmetic Review
  789.    wt: 1:   26 More Less Greater Than Comparison
  790.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  791.    wt: 1:   23 Distributive Law Two Derivations
  792.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  793.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  794.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  795.    wt: 1:   12 Real Numbers Line Signed Coordinates
  796.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  797.    wt: 1:   9 Division with Digits after Decimal Point
  798.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  799.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  800.    wt: 1:   2 Counting Digits in Decimal Multiplication
  801.    wt: 1:   1 Fractions with Finite Decimal Expansions
  802.    wt: 1:   3 Adding Words To Arithmetic
  803.    wt: 1:   2 What is a Variable
  804.    wt: 1:   1 Three Skills For Algebra
  805.    wt: 1:   About Folder Contents
  806.    wt: 1:   016 Numbering Occidental Calendar Days
  807.    wt: 1:   014 Counting Days with Calendars
  808.    wt: 1:   013 Travel Time Tables
  809.    wt: 1:   6 How long is a million seconds
  810.    wt: 1:   A Related Material in Volume 3
  811.    wt: 1:   4 Definite Integrals Evaluation Exercises
  812.    wt: 1:   2 Indefinite Integrals Exercises
  813.    wt: 1:   1 Chain Rule in Reverse Integration Method
  814.    wt: 1:   4 Second derivative test exercise example
  815.    wt: 1:   34 Derivative of exponential function
  816.    wt: 1:   31 Derivatives of inverse functions
  817.    wt: 1:   30Chain Rule A Proof
  818.    wt: 1:   28 Chain Rule Preparation for a Proof
  819.    wt: 1:   26 Chain Rule Recognising outer inner functions
  820.    wt: 1:   25 Chain Rule Animated Examples Continued
  821.    wt: 1:   24 Chain Rule Animated Examples
  822.    wt: 1:   20 Chain Rule for Pulley Systems
  823.    wt: 1:   14 sine and cosine derivatives 2nd step
  824.    wt: 1:   13 sine and cosine derivatives 1st step
  825.    wt: 1:   8 Differentiation of polynomials
  826.    wt: 1:   7 Animated Differentiation Examples
  827.    wt: 1:   5 Product Rule
  828.    wt: 1:   11 Limits at infinity Three Examples
  829.    wt: 1:   10 Three one sided limits with infinite values
  830.    wt: 1:   8 Four Animated Examples
  831.    wt: 1:   7 Evaluation by immediate or delayed substitution
  832.    wt: 1:   6 Continuity at a point
  833.    wt: 1:   4 Numerical properties
  834.    wt: 1:   2 Algebraic codification
  835.    wt: 1:   1 Numerical introduction
  836.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  837.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  838.    wt: 1:   G.5 Motions With Bounded Velocities
  839.    wt: 1:   G.3 Constant Difference Theorem Proof
  840.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  841.    wt: 1:   F.5b Extreme Value Theorem
  842.    wt: 1:   F.5a Equicontinuity Theorems
  843.    wt: 1:   E2 Algebraic Properties of Limits
  844.    wt: 1:   D2 Limits of Monotone Sequences
  845.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  846.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  847.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  848.    wt: 1:   Chapter 12. Units and Slopes
  849.    wt: 1:   Chapter 10 Slopes and Units
  850.    wt: 1:   Chapter 7 Slopes and Velocity
  851.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  852.    wt: 1:   Chapter 2. Slopes and Ski Trails
  853.    wt: 1:   Postscript More on Better Performance
  854.    wt: 1:   Postscript For Better Performance
  855.    wt: 1:   Appendix D. What to do in School and Why
  856.    wt: 1:   Chapter 31 Direct and Indirect Reason
  857.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  858.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  859.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  860.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  861.    wt: 1:   Chapter 20. Degrees and Radians
  862.    wt: 1:   Chapter 19. Functions and Sets
  863.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  864.    wt: 1:   Chapter 12. Shorthand Usage Guide
  865.    wt: 1:   Chapter 11. Why Shorthand
  866.    wt: 1:   Chapter 10 Describing and Changing Calculations
  867.    wt: 1:   Postscript What is a Variable
  868.    wt: 1:   Chapter 6 Change of Language
  869.    wt: 1:   Chapter 4 Longer Chains of Reason
  870.    wt: 1:   Chapter 3 Chains of Reason
  871.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  872.    wt: 1:   Annotated Links to Material Elsehwere
  873.    wt: 1:   Chapter 7 Two Treatments of Geometry
  874.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  875.    wt: 1:   Chapter 2 For and Against Mathematics
  876.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  877.    wt: 1:   Postscript B More on Story Telling and Reason
  878.    wt: 1:   Postscript A Story Telling
  879.    wt: 1:   Chapter 24 Direct and Indirect Reason
  880.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  881.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  882.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  883.    wt: 1:   Chapter 8 Change of Language
  884.    wt: 1:   Chapter 7 Longer Chains of Reason
  885.    wt: 1:   Chapter 6 Chains of Reason
  886.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  887.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  888.    wt: 1:   S Adding words to algebra
  889.    wt: 1:   R Why Learn Mathematics Skills
  890.    wt: 1:   N Mathematics Prepare for College Studies
  891.    wt: 1:   M Words to extend arithmetic
  892.    wt: 1:   L Skills with take home value
  893.    wt: 1:   F. The student teacher tutor feedback loop
  894.    wt: 1:   D. Check work a must with a caution
  895.    wt: 1:   A. Skill has to be seen to believed
  896.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  897.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  898.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  899.    wt: 1:   Which Way To Go
  900.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  901.    wt: 1:   Road Safety Questions

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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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