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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64 matches:

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

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310 matches:

  1.    wt: 4:   3 Natural Logarithms and Exponentials Basic Properties
  2.    wt: 4:   21 Logarithms Powers and Exponentials
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
  5.    wt: 4:   Chapter 19. Exponentials and Natural Logarithms
  6.    wt: 3:   5 logarithms and exponentials etc
  7.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  8.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  9.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  10.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  11.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  12.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  13.    wt: 2:   14 cosine even and sine and tangent are odd
  14.    wt: 2:   3 Lengths and Areas on Maps and Plans
  15.    wt: 2:   2 More and Less Than for Counts and Measures
  16.    wt: 2:   1 Whole and Natural Numbers
  17.    wt: 2:   4 A Brief Story of numbers and algebra
  18.    wt: 2:   1 More and Less Than for Counts and Measures
  19.    wt: 2:   1 Squares and Square Roots Introduction
  20.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 2:   6. Counting and adding units and mixed units
  22.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  23.    wt: 2:   Quick history of numbers and algebra
  24.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  25.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  26.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  27.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  28.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  29.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  30.    wt: 2:   More Algebra and Slope based Calculus Preview
  31.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  32.    wt: 1:   Appendix 1 primary and preschool mathematic
  33.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  34.    wt: 1:   Ramblings Introduction Algebra Essay
  35.    wt: 1:   Skills Chapter 3 Algebra
  36.    wt: 1:   7 logic review and decimals an odd combination
  37.    wt: 1:   4 algebra
  38.    wt: 1:   key notes and themes
  39.    wt: 1:   what should be learnt and When
  40.    wt: 1:   talk the algebra talk
  41.    wt: 1:   geometric implications for algebra
  42.    wt: 1:   teaching tutoring algebraic reason
  43.    wt: 1:   Lessening Algebra Difficulties
  44.    wt: 1:   the trouble with algebra
  45.    wt: 1:   05 13 OldSiteEntrancePage
  46.    wt: 1:   standards for course material
  47.    wt: 1:   Education in mathematics science and technology
  48.    wt: 1:   Motivation and Context Problem
  49.    wt: 1:   fairness and inductive principles for instruction
  50.    wt: 1:   chapitre 06 00 Chaines de la raison
  51.    wt: 1:   chapitre 05 00 Deception
  52.    wt: 1:   chapitre 04 06 engagements
  53.    wt: 1:   chapitre 04 05 Implication versus suggestion
  54.    wt: 1:   1 Energy Power Heat06
  55.    wt: 1:   E Energy Power05
  56.    wt: 1:   Home Tutoring and Home Schooling
  57.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  58.    wt: 1:   24 Standards For Skill Develoment Take II
  59.    wt: 1:   24 Standards For Skill Develoment
  60.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  61.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  62.    wt: 1:   17 Math Booklets for children and young teenagers
  63.    wt: 1:   14 Multiplication and Times Tables
  64.    wt: 1:   13 Addition and Addition Tables
  65.    wt: 1:   12 Goals and Objectives For Mathematics
  66.    wt: 1:   11 Help and Defend Your Child or Teens Education
  67.    wt: 1:   5 Patience Please for Yourself and Your Charges
  68.    wt: 1:   4 Learning Takes Time and Effort
  69.    wt: 1:   2 Reading and Writing Skills
  70.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  71.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  72.    wt: 1:   26 Function definitions done and coming
  73.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  74.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  75.    wt: 1:   19 Horizontal line rule and method
  76.    wt: 1:   18 Vertical Line Rule and Method
  77.    wt: 1:   17 Function maxima minima and their location
  78.    wt: 1:   11 Function Domain Range Source and Targets
  79.    wt: 1:   8 Set view of relations and functions
  80.    wt: 1:   6 Set Existence Formation and Notation
  81.    wt: 1:   4 Function notation in and beyond mathematics
  82.    wt: 1:   2 Algebraic use of function notation
  83.    wt: 1:   9 quadratics physical and further context
  84.    wt: 1:   11 Growth and Decay in Biology
  85.    wt: 1:   10 Exponential Growth and Decay Models
  86.    wt: 1:   5 Natural Logarithm Calculator Exercises
  87.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  88.    wt: 1:   Rewriting algebraic substitution as function substitutions
  89.    wt: 1:   16 cotangent function Definition Graph and Inverse
  90.    wt: 1:   15 cosecant function Definition Graph and Inverse
  91.    wt: 1:   14 secant function Definition Graph and Inverse
  92.    wt: 1:   13 cosecant function Definition Graph and Inverse
  93.    wt: 1:   9 Summary Degrees to Radians and back
  94.    wt: 1:   1 Degrees and Radians Introduction
  95.    wt: 1:   A Global Time and Navigation
  96.    wt: 1:   15 Dot and Cross Product
  97.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  98.    wt: 1:   Vector and Complex Number Applet
  99.    wt: 1:   Parallel Lines and Parallel Transversals
  100.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  101.    wt: 1:   Parallel Lines and Interior Angles
  102.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  103.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  104.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  105.    wt: 1:   29 secant cosecant and cotangent for acute angles
  106.    wt: 1:   27 Logarithmic use of products of sines and cosines
  107.    wt: 1:   26 Formulas for products of sines and cosines
  108.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  109.    wt: 1:   21 sine and cosine Half Angle Formulas
  110.    wt: 1:   20 sine and cosine Double Angle Formulas
  111.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  112.    wt: 1:   17E Trig Formulas for dot and cross Products
  113.    wt: 1:   17D cis formulas for sine cosines and tangent
  114.    wt: 1:   17C sine and cosine double triple angle formulas
  115.    wt: 1:   10 Graphs of sines and cosines many periods
  116.    wt: 1:   9 Graphs of sine and cosine over one period
  117.    wt: 1:   7 period of sine and cosine
  118.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  119.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  120.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  121.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  122.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  123.    wt: 1:   20 N th Roots of Complex Numbers
  124.    wt: 1:   19 N th Roots of Unity
  125.    wt: 1:   18 Sixth Roots of Unity
  126.    wt: 1:   17 Cube Roots of unity
  127.    wt: 1:   16 References and Originality Question
  128.    wt: 1:   13 Trig Formulas for dot and cross Products
  129.    wt: 1:   12 cis formulas for sine cosines and tangent
  130.    wt: 1:   11 sine and cosine double triple angle formulas
  131.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  132.    wt: 1:   3 Trigonometric Ratios sine and cosine
  133.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  134.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  135.    wt: 1:   8 Similarity of Triangles and Polygons
  136.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  137.    wt: 1:   10 Midpoint of [a b] and [b a]
  138.    wt: 1:   7 Exercises to test skill and concept mastery
  139.    wt: 1:   5 Algebraic View of Slopes
  140.    wt: 1:   1 Numerical view of lines and their equations
  141.    wt: 1:   What is and is not here
  142.    wt: 1:   6 Polar Multiplication and Rotation
  143.    wt: 1:   5 Cartesian Addition and Translation
  144.    wt: 1:   4 Polar Coordinates to and from
  145.    wt: 1:   16 Angles Subtended By Chords and Diameters
  146.    wt: 1:   6 Ruler and compass Angle Bisection
  147.    wt: 1:   1 Initial Concepts and Terms
  148.    wt: 1:   A Modular and Remainder Arithmetic
  149.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  150.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  151.    wt: 1:   13 Arrows and Vectors in a Plane
  152.    wt: 1:   11 Signed Number Addition and Addition Properties
  153.    wt: 1:   8 Division and Mulplication of Compound Fractions
  154.    wt: 1:   B Decimal Comparison and Subtraction
  155.    wt: 1:   2 Combing Counts Addition Skills and Principles
  156.    wt: 1:   3 Inequalities Algebraically
  157.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  158.    wt: 1:   4 Rates Ratios and Proporitionality
  159.    wt: 1:   2 Algebraic View
  160.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  161.    wt: 1:   6 Compound Interest Forward and Backwards
  162.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  163.    wt: 1:   6 Equations and Systems Equivalent or Implied
  164.    wt: 1:   5 Equality in Algebra
  165.    wt: 1:   4 Subtraction and Division Axioms
  166.    wt: 1:   2 Addition and Multiplication Axioms
  167.    wt: 1:   3 More and Less Than with Unlike Signs
  168.    wt: 1:   10 Real Number Lengths and Signs
  169.    wt: 1:   8 Coordinates for Maps and Planes
  170.    wt: 1:   3 Geometric Formulas and Function Notation
  171.    wt: 1:   1 Formulas Dependence and Function Notation
  172.    wt: 1:   3 GE III Equation Addition and Multiplication
  173.    wt: 1:   6 Algebraic Solution Example
  174.    wt: 1:   5 Algebraic Solutions Introduction
  175.    wt: 1:   1 Written work formats for developing and showing skill
  176.    wt: 1:   9 Sets in Probability and Statistics
  177.    wt: 1:   5 Talking about Numbers and Quantities
  178.    wt: 1:   1 Three Skills For Algebra
  179.    wt: 1:   2 More and Less Than with Unlike Signs
  180.    wt: 1:   5 Square Roots with primes more still
  181.    wt: 1:   4 Square Roots with primes more
  182.    wt: 1:   3 Properties of Square Roots with example
  183.    wt: 1:   2 Square Roots with Prime
  184.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  185.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  186.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  187.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  188.    wt: 1:   7 GCD and LCM from prime factorization
  189.    wt: 1:   4 LCM of 8 and 10 via Prime
  190.    wt: 1:   3 Counting with Tables and Trees II
  191.    wt: 1:   2 Counting with Tables and Trees I
  192.    wt: 1:   1 Counting and Counting Methods I
  193.    wt: 1:   11 What are real lengths and numbers
  194.    wt: 1:   7 negative and additive inverse
  195.    wt: 1:   5 lengths and signs of numbers
  196.    wt: 1:   3 signed coordinates for maps and planes
  197.    wt: 1:   2 signed and unsigned numbers as coordinates
  198.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  199.    wt: 1:   3 Multiplying Units and Numbers
  200.    wt: 1:   2 Equality and Units
  201.    wt: 1:   1 Addition and Subtraction with Units
  202.    wt: 1:   B Fractions and Two Term Ratios
  203.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  204.    wt: 1:   21 Reciprocals for Fractions and Wholes
  205.    wt: 1:   17 Efficient Ways to Add and Subtract
  206.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  207.    wt: 1:   14 Adding and Subtracting with Like Denominators
  208.    wt: 1:   13 Fraction Comparison Algebraic View
  209.    wt: 1:   11 Simplification an Algebraic View
  210.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  211.    wt: 1:   9 Improper Fractions and Mixed Numbers
  212.    wt: 1:   6 Multiplication Algebraically Take II
  213.    wt: 1:   11 Adding Integers Formulas and Examples
  214.    wt: 1:   6 Multiplication by Natural Numbers
  215.    wt: 1:   5 Zero Movement and Additive Inverses
  216.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  217.    wt: 1:   17 Identify and Count Factors using Primes
  218.    wt: 1:   12 LCD GCD and LCM using Primes
  219.    wt: 1:   7 Calculator Usage Notes and Cautions
  220.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  221.    wt: 1:   5 Prime Factorization and a Square Rule
  222.    wt: 1:   3 video Primes and Composites from 9 times table
  223.    wt: 1:   2 Prime and Composites less than 16
  224.    wt: 1:   Division with Counts and Length
  225.    wt: 1:   Long Division forwards and backwards Example 3
  226.    wt: 1:   Long Division forwards and backwards Example 2
  227.    wt: 1:   Long Division forwards and backwards Example 1
  228.    wt: 1:   10 Division by Five Long and Short Ways
  229.    wt: 1:   C Counting Areas with Powers of Ten
  230.    wt: 1:   B Powers of Ten
  231.    wt: 1:   4 Two and Three Digit Multipliers
  232.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  233.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  234.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  235.    wt: 1:   8 What skills and work habits to require
  236.    wt: 1:   11 Place Value SI Standard International way
  237.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  238.    wt: 1:   Exact Arithmetic Wholes and Fractions
  239.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  240.    wt: 1:   015 School and work day counting tables
  241.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  242.    wt: 1:   4 Mixing and Changing Units of Time
  243.    wt: 1:   3 Units and Lengths of Time
  244.    wt: 1:   2 Time and Date Matters in School
  245.    wt: 1:   Example 1. Area Between x and x squared
  246.    wt: 1:   21 Chain Rule for powers
  247.    wt: 1:   17 Derivatives of quotients of sine and cosine
  248.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  249.    wt: 1:   15 sine and cosine derivatives 3rd step
  250.    wt: 1:   14 sine and cosine derivatives 2nd step
  251.    wt: 1:   13 sine and cosine derivatives 1st step
  252.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  253.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  254.    wt: 1:   9 Limits Continuity and Composition
  255.    wt: 1:   5 Jumps and absence of unlimited error control
  256.    wt: 1:   2 Algebraic codification
  257.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  258.    wt: 1:   E2 Algebraic Properties of Limits
  259.    wt: 1:   PostScript For and Against Decimal Perspectives
  260.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  261.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  262.    wt: 1:   Chapter 12. Units and Slopes
  263.    wt: 1:   Chapter 10 Slopes and Units
  264.    wt: 1:   Chapter 7 Slopes and Velocity
  265.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  266.    wt: 1:   Chapter 2. Slopes and Ski Trails
  267.    wt: 1:   Appendix E. How To Study Mathematics and Why
  268.    wt: 1:   Appendix D. What to do in School and Why
  269.    wt: 1:   Chapter 31 Direct and Indirect Reason
  270.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  271.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  272.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  273.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  274.    wt: 1:   Chapter 20. Degrees and Radians
  275.    wt: 1:   Chapter 19. Functions and Sets
  276.    wt: 1:   Chapter 18. Rules for Algebra
  277.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  278.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  279.    wt: 1:   Chapter 12. Shorthand Usage Guide
  280.    wt: 1:   Chapter 11. Why Shorthand
  281.    wt: 1:   Chapter 10 Describing and Changing Calculations
  282.    wt: 1:   Chapter 8 Three Skills For Algebra
  283.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  284.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  285.    wt: 1:   Chapter 3 Algebra Difficulties
  286.    wt: 1:   Chapter 2 For and Against Mathematics
  287.    wt: 1:   Postscript B More on Story Telling and Reason
  288.    wt: 1:   Chapter 24 Direct and Indirect Reason
  289.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  290.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  291.    wt: 1:   Chapter 18 Sense and Knowledge
  292.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  293.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  294.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  295.    wt: 1:   S Adding words to algebra
  296.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  297.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  298.    wt: 1:   O On Learning Mathematics and Science
  299.    wt: 1:   N Improving Marks on Tests and Finals
  300.    wt: 1:   J. More on written work and showing skill
  301.    wt: 1:   I. Logic and language skills
  302.    wt: 1:   H Jigsaw puzzles and problem solving
  303.    wt: 1:   G. Written work formats for developing and showing skill
  304.    wt: 1:   E. When and how to correct errors
  305.    wt: 1:   How to Build Skills and Confidence
  306.    wt: 1:   Helping the Blind in Logic and Mathematics
  307.    wt: 1:   Systematic Algebra Skill Development Missing Links
  308.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  309.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  310.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring

Extended Search

896 matches:

  1.    wt: 9:   11 Growth and Decay in Biology
  2.    wt: 9:   10 Exponential Growth and Decay Models
  3.    wt: 8:   2 Square Root Simplification a prequel
  4.    wt: 8:   1 Calculator Starter Exercises
  5.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
  6.    wt: 6:   9 Improper Fractions and Mixed Numbers
  7.    wt: 6:   6 Multiplication Algebraically Take II
  8.    wt: 6:   6 Multiplication by Natural Numbers
  9.    wt: 6:   5 Zero Movement and Additive Inverses
  10.    wt: 5:   6 Set Existence Formation and Notation
  11.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 5:   21 Logarithms Powers and Exponentials
  13.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  14.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  15.    wt: 5:   5 Algebraic View of Slopes
  16.    wt: 5:   6 Polar Multiplication and Rotation
  17.    wt: 5:   5 Cartesian Addition and Translation
  18.    wt: 5:   6 Ruler and compass Angle Bisection
  19.    wt: 5:   2 More and Less Than for Counts and Measures
  20.    wt: 5:   6 Algebraic Solution Example
  21.    wt: 5:   5 Algebraic Solutions Introduction
  22.    wt: 5:   1 Squares and Square Roots Introduction
  23.    wt: 5:   B Fractions and Two Term Ratios
  24.    wt: 5:   A Similarities between Fractions and Two Term Ratios
  25.    wt: 5:   21 Reciprocals for Fractions and Wholes
  26.    wt: 5:   17 Efficient Ways to Add and Subtract
  27.    wt: 5:   15 Adding and Subtracting with Unlike Denominators
  28.    wt: 5:   14 Adding and Subtracting with Like Denominators
  29.    wt: 5:   13 Fraction Comparison Algebraic View
  30.    wt: 5:   11 Simplification an Algebraic View
  31.    wt: 5:   10 Simplification of Fractions and Mixed Numerals
  32.    wt: 5:   8 Numerals Fractionals Quantals Take II
  33.    wt: 5:   7 Numerals Fractionals Quantals
  34.    wt: 5:   5 Equivalent Fractions
  35.    wt: 5:   6. Counting and adding units and mixed units
  36.    wt: 5:   Chapter 24 Logarithms Powers and Exponentials
  37.    wt: 5:   Chapter 19. Exponentials and Natural Logarithms
  38.    wt: 4:   5 logarithms and exponentials etc
  39.    wt: 4:   5 Function notation for geometric transformations
  40.    wt: 4:   6 Polynomial Operations and Equivalent Computation Rules
  41.    wt: 4:   Parallel Lines and Parallel Transversals
  42.    wt: 4:   Parallel Lines and Alternating Corresponding Angles
  43.    wt: 4:   Parallel Lines and Interior Angles
  44.    wt: 4:   6 Trigonometry Sines of Supplementary Angles
  45.    wt: 4:   3 Trigonometric Ratios sine and cosine
  46.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  47.    wt: 4:   13 Navigation Location from Angles to 2 Landmarks
  48.    wt: 4:   8 Similarity of Triangles and Polygons
  49.    wt: 4:   6 Geometric Diagrams in Class
  50.    wt: 4:   6 Intersection of lines by solving linear systems
  51.    wt: 4:   5 Side Angle Side
  52.    wt: 4:   6 Column Methods for Decimal Multiplication
  53.    wt: 4:   5 Distributive Law for Whole Numbers
  54.    wt: 4:   5 Proportionality in Equivalent Fractions
  55.    wt: 4:   6 Compound Interest Forward and Backwards
  56.    wt: 4:   6 Equations and Systems Equivalent or Implied
  57.    wt: 4:   5 Equality in Algebra
  58.    wt: 4:   5 Greater More Less Than Signs in General
  59.    wt: 4:   3 More and Less Than with Unlike Signs
  60.    wt: 4:   1 Whole and Natural Numbers
  61.    wt: 4:   6 Three Examples
  62.    wt: 4:   5 Three Examples
  63.    wt: 4:   1 More and Less Than for Counts and Measures
  64.    wt: 4:   5 Square Roots with primes more still
  65.    wt: 4:   4 Square Roots with primes more
  66.    wt: 4:   3 Properties of Square Roots with example
  67.    wt: 4:   2 Square Roots with Prime
  68.    wt: 4:   5 lengths and signs of numbers
  69.    wt: 4:   D Three Term Ratios
  70.    wt: 4:   22 Complex Compound Fractions
  71.    wt: 4:   21 Working With Signs
  72.    wt: 4:   20 Dividing Fractions the Why
  73.    wt: 4:   19 Dividing Fractions How TO
  74.    wt: 4:   18 Efficient Ways to Multiply
  75.    wt: 4:   16 Addition Subtraction Comparision Compared
  76.    wt: 4:   12 Fraction Comparison
  77.    wt: 4:   4 Fraction Multiplication
  78.    wt: 4:   3 Unit fraction of a fraction
  79.    wt: 4:   2 Unit Fraction Multiplication
  80.    wt: 4:   1 What is a fraction Take II
  81.    wt: 4:   1 What is a fraction
  82.    wt: 4:   11 Adding Integers Formulas and Examples
  83.    wt: 4:   6 Sieve of Eratosthenes and Square Rule
  84.    wt: 4:   5 Prime Factorization and a Square Rule
  85.    wt: 4:   6 Subtraction with Conversion Example with Exercises
  86.    wt: 4:   5 A Tip for Efficent Subtraction
  87.    wt: 4:   Example 1 volume of a pyramid
  88.    wt: 4:   Example 1. Area Between x and x squared
  89.    wt: 4:   38 Formulas and derivatives for powers and roots
  90.    wt: 4:   5 Jumps and absence of unlimited error control
  91.    wt: 4:   Chapter 5 Islands and Divisions of Knowledge
  92.    wt: 3:   5 Patience Please for Yourself and Your Charges
  93.    wt: 3:   sign monoticity analysis example 4
  94.    wt: 3:   sign monoticity analysis example 3
  95.    wt: 3:   sign monoticity analysis example 2
  96.    wt: 3:   sign monoticity analysis example 1
  97.    wt: 3:   26 Function definitions done and coming
  98.    wt: 3:   25 Absolute Value greatest integer and saw tooth functions
  99.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
  100.    wt: 3:   19 Horizontal line rule and method
  101.    wt: 3:   18 Vertical Line Rule and Method
  102.    wt: 3:   17 Function maxima minima and their location
  103.    wt: 3:   11 Function Domain Range Source and Targets
  104.    wt: 3:   8 Set view of relations and functions
  105.    wt: 3:   4 Function notation in and beyond mathematics
  106.    wt: 3:   2 Algebraic use of function notation
  107.    wt: 3:   9 quadratics physical and further context
  108.    wt: 3:   6 quadratics numerical approach
  109.    wt: 3:   5 quadratics completing the square
  110.    wt: 3:   5 Polynomials Long division Nonlinear divisor
  111.    wt: 3:   Rewriting algebraic substitution as function substitutions
  112.    wt: 3:   9 Summary Degrees to Radians and back
  113.    wt: 3:   1 Degrees and Radians Introduction
  114.    wt: 3:   6 Vectors with Coordinates
  115.    wt: 3:   Proportionality of Line Segments From Parallel Transversals
  116.    wt: 3:   Triangle Angles Sum To 180 Degrees
  117.    wt: 3:   14 cosine even and sine and tangent are odd
  118.    wt: 3:   9 Graphs of sine and cosine over one period
  119.    wt: 3:   6 Field Properties of Complex Number
  120.    wt: 3:   5 An Easy Proof of the Distributive Law
  121.    wt: 3:   8 Triangles Cascade Problem Solving
  122.    wt: 3:   7 Trignometric Ratios Unit Circle
  123.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
  124.    wt: 3:   2 Similar Triangles Equality of Corresponding Side Ratios
  125.    wt: 3:   1 Angle Measurement with Degrees
  126.    wt: 3:   Why Trigonometry the whyslopes view
  127.    wt: 3:   12 Triangles Similarity More Problems
  128.    wt: 3:   11 Triangle Similarity Missing Side Problem
  129.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  130.    wt: 3:   9 Similarity of Triangles Usual Criteria
  131.    wt: 3:   7 Translations Rotations Reflections Dilatations
  132.    wt: 3:   4 Similarity Definition with Coordinate
  133.    wt: 3:   3 Similarity by Design with coordinates
  134.    wt: 3:   2 Similarity By Design
  135.    wt: 3:   1 Early Concept of Like or Similar Shapes
  136.    wt: 3:   10 Midpoint of [a b] and [b a]
  137.    wt: 3:   7 Exercises to test skill and concept mastery
  138.    wt: 3:   1 Numerical view of lines and their equations
  139.    wt: 3:   What is and is not here
  140.    wt: 3:   4 Polar Coordinates to and from
  141.    wt: 3:   16 Angles Subtended By Chords and Diameters
  142.    wt: 3:   1 Initial Concepts and Terms
  143.    wt: 3:   3 Lengths and Areas on Maps and Plans
  144.    wt: 3:   B Decimal Comparison and Subtraction
  145.    wt: 3:   2 Combing Counts Addition Skills and Principles
  146.    wt: 3:   5 Areas of Rectangles Revisited
  147.    wt: 3:   3 Inequalities Algebraically
  148.    wt: 3:   1 Decimals Modular and Remainder Arithmetic
  149.    wt: 3:   4 Rates Ratios and Proporitionality
  150.    wt: 3:   2 Algebraic View
  151.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  152.    wt: 3:   5 Triangle Area Formula Backwards
  153.    wt: 3:   4 Rectangle Area and Like Formulas Backwards
  154.    wt: 3:   4 Subtraction and Division Axioms
  155.    wt: 3:   2 Addition and Multiplication Axioms
  156.    wt: 3:   4 Comparison of Negative Numbers
  157.    wt: 3:   1 Real Numbers Comparison
  158.    wt: 3:   10 Real Number Lengths and Signs
  159.    wt: 3:   8 Coordinates for Maps and Planes
  160.    wt: 3:   6 Unsigned Real Numbers
  161.    wt: 3:   5 Rational Numbers More
  162.    wt: 3:   5 Independent versus Dependent Variables
  163.    wt: 3:   3 Geometric Formulas and Function Notation
  164.    wt: 3:   1 Formulas Dependence and Function Notation
  165.    wt: 3:   5 Gaussian Elimination for 3 unknowns 2nd example
  166.    wt: 3:   5 Talking about Numbers and Quantities
  167.    wt: 3:   4 A Brief Story of numbers and algebra
  168.    wt: 3:   2 More and Less Than with Unlike Signs
  169.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  170.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  171.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  172.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  173.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  174.    wt: 3:   7 GCD and LCM from prime factorization
  175.    wt: 3:   6 GCD from Prime
  176.    wt: 3:   5 Common Divisors 60 45 via Prime
  177.    wt: 3:   4 LCM of 8 and 10 via Prime
  178.    wt: 3:   2 Least Common Multiple LCM intro via list method
  179.    wt: 3:   12 GCD 2700 288 via Prime
  180.    wt: 3:   3 Counting with Tables and Trees II
  181.    wt: 3:   2 Counting with Tables and Trees I
  182.    wt: 3:   1 Counting and Counting Methods I
  183.    wt: 3:   6 adding signed numbers
  184.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  185.    wt: 3:   3 Multiplying Units and Numbers
  186.    wt: 3:   2 Equality and Units
  187.    wt: 3:   1 Addition and Subtraction with Units
  188.    wt: 3:   D Remainders Modulo 11 Pair Rule
  189.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  190.    wt: 3:   B Integer Long Division Multiple Choices
  191.    wt: 3:   A Associative Law Theorectical Note
  192.    wt: 3:   13 Subtraction with Additive Inverse
  193.    wt: 3:   12 Adding Integers More Examples
  194.    wt: 3:   10 Integer Multiplication Formulas
  195.    wt: 3:   9 Multiplying Integers
  196.    wt: 3:   8 Multiplication by Signed Numbers Integers
  197.    wt: 3:   7 Multiplication by Signs
  198.    wt: 3:   4 Adding Movements wiht opposite directions
  199.    wt: 3:   3 Adding Movements with same direction
  200.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  201.    wt: 3:   1 Integers as Coordinates
  202.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  203.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  204.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  205.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
  206.    wt: 3:   5 Long Division Include Zeroes or not
  207.    wt: 3:   6 Multiplication Commutes Order Not Important
  208.    wt: 3:   5 Decimal Fraction Multiplication
  209.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  210.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  211.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  212.    wt: 3:   8 What skills and work habits to require
  213.    wt: 3:   5. How to add decimals C. Examples
  214.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  215.    wt: 3:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  216.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  217.    wt: 3:   Quick history of numbers and algebra
  218.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  219.    wt: 3:   Example 2 volume of a cone
  220.    wt: 3:   Volume of Solid by Cross Sections Lesson
  221.    wt: 3:   6 Continuity at a point
  222.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  223.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  224.    wt: 3:   Chapter 6. Slopes and Vertical Shifts
  225.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  226.    wt: 3:   E. When and how to correct errors
  227.    wt: 3:   More Algebra and Slope based Calculus Preview
  228.    wt: 2:   Motivation and Context Problem
  229.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  230.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  231.    wt: 2:   23 Inverse Functions
  232.    wt: 2:   22 Square Root function graphically
  233.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  234.    wt: 2:   20 Interchanging coordinates a reflection
  235.    wt: 2:   16 Increasing or decreasing on intervals
  236.    wt: 2:   15 Sign analysis of functions
  237.    wt: 2:   14 Surjections Injections Bijections
  238.    wt: 2:   13 From one to one to many to one
  239.    wt: 2:   12 Function Domain Recognition Exercises
  240.    wt: 2:   10 Interval Notation
  241.    wt: 2:   9 Set theory term relation possible origins
  242.    wt: 2:   7 Functions with finite domains
  243.    wt: 2:   3 Formula or function graphing exercise
  244.    wt: 2:   1 Geometric Introduction of Function Notation
  245.    wt: 2:   Introduction Reading Guide
  246.    wt: 2:   A Quadratics Summary
  247.    wt: 2:   10 quadratic exercises
  248.    wt: 2:   8 quadratics backward use of various formulas
  249.    wt: 2:   7 quadratic formulla derivation
  250.    wt: 2:   4 quadratics difference of two squares
  251.    wt: 2:   3 quadratics factoring by inspection
  252.    wt: 2:   2 quadratics graphing in general
  253.    wt: 2:   1 quadratics graphing exercises
  254.    wt: 2:   Quadratics in 10 steps
  255.    wt: 2:   8 Notes for instructors or tutors
  256.    wt: 2:   7 Links Lessons Elsewhere
  257.    wt: 2:   4 Polynomials Long division linear divisor
  258.    wt: 2:   3 Polynomials Multiplication Addition
  259.    wt: 2:   2 Column Multiplication Method
  260.    wt: 2:   1 Polynomials Distributive Law
  261.    wt: 2:   16 cotangent function Definition Graph and Inverse
  262.    wt: 2:   15 cosecant function Definition Graph and Inverse
  263.    wt: 2:   14 secant function Definition Graph and Inverse
  264.    wt: 2:   13 cosecant function Definition Graph and Inverse
  265.    wt: 2:   8 Radian Measures of Common Angles
  266.    wt: 2:   7 Radian Measures in special Triangles
  267.    wt: 2:   6 Radian Measure to Degrees
  268.    wt: 2:   5 Degrees to Radian Measure
  269.    wt: 2:   4 Circle Sector Area proportional to Central Angle
  270.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  271.    wt: 2:   2 Radian Measure Numerical Value of one degree
  272.    wt: 2:   A Global Time and Navigation
  273.    wt: 2:   15 Dot and Cross Product
  274.    wt: 2:   7 Coordinate Addition and Scalar Multiplication
  275.    wt: 2:   5 Head To Tail Arrow Addition
  276.    wt: 2:   Vector and Complex Number Applet
  277.    wt: 2:   4 graphing y=Asin(x c)
  278.    wt: 2:   3 graphing y=f(x c) plus K
  279.    wt: 2:   2 Graphing y=Af(x) Vertical Scaling
  280.    wt: 2:   1 graphing y=f(x a)
  281.    wt: 2:   SAS Method For Isometric Or Proportional Triangle Construction
  282.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  283.    wt: 2:   Straight Lines ASA Intersection Study More
  284.    wt: 2:   Straight Lines ASA Intersection Study
  285.    wt: 2:   Straight Lines Instersection Solving Equations
  286.    wt: 2:   Straight Lines Intersection of
  287.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  288.    wt: 2:   C Straight Lines Slope from Coordinates
  289.    wt: 2:   B Straight Line Slope Scaling Properties More
  290.    wt: 2:   A Straight Line Slope Scaling Properties
  291.    wt: 2:   14 Straight Lines Equations General Case
  292.    wt: 2:   13 Straight Lines Finding Equations from 2 points
  293.    wt: 2:   12 Straight Lines Graphing mx plus b
  294.    wt: 2:   11 Straight Lines Graphing y=mx
  295.    wt: 2:   10 Straight Lines through Origin Equations More
  296.    wt: 2:   9 Straight Lines through Origin Equations
  297.    wt: 2:   8 Straight Lines Equation for vertical
  298.    wt: 2:   7 Tangent Function is odd on this domain
  299.    wt: 2:   6 Tangent Function Inclination Angle Take 2
  300.    wt: 2:   5 Tangent Function Graph
  301.    wt: 2:   4 Tangent Function Properties
  302.    wt: 2:   3 Straight Lines Slope as Tangent of Inclination Angle
  303.    wt: 2:   2 Straight Lines Slopes As Rise Over Run
  304.    wt: 2:   1 Straight Lines Slope Concept
  305.    wt: 2:   35 sines and cosines of 2A 3A 4A 5A
  306.    wt: 2:   34 sines and cosines of 2A 3A 4A 5A
  307.    wt: 2:   33 sines and cosines of 2A 3A 4A 5A
  308.    wt: 2:   29 secant cosecant and cotangent for acute angles
  309.    wt: 2:   27 Logarithmic use of products of sines and cosines
  310.    wt: 2:   26 Formulas for products of sines and cosines
  311.    wt: 2:   23 sine and cosine of 180 plus 22.5 degrees
  312.    wt: 2:   21 sine and cosine Half Angle Formulas
  313.    wt: 2:   20 sine and cosine Double Angle Formulas
  314.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  315.    wt: 2:   17E Trig Formulas for dot and cross Products
  316.    wt: 2:   17D cis formulas for sine cosines and tangent
  317.    wt: 2:   17C sine and cosine double triple angle formulas
  318.    wt: 2:   10 Graphs of sines and cosines many periods
  319.    wt: 2:   8 period of tangent function
  320.    wt: 2:   7 period of sine and cosine
  321.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  322.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  323.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  324.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  325.    wt: 2:   Unit Circle Development of Trigonometry
  326.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  327.    wt: 2:   20 N th Roots of Complex Numbers
  328.    wt: 2:   19 N th Roots of Unity
  329.    wt: 2:   18 Sixth Roots of Unity
  330.    wt: 2:   17 Cube Roots of unity
  331.    wt: 2:   16 References and Originality Question
  332.    wt: 2:   13 Trig Formulas for dot and cross Products
  333.    wt: 2:   12 cis formulas for sine cosines and tangent
  334.    wt: 2:   11 sine and cosine double triple angle formulas
  335.    wt: 2:   Four Simple Exercises
  336.    wt: 2:   12 Links Lessons elsewhere
  337.    wt: 2:   11 A Partial Summary
  338.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  339.    wt: 2:   8 Mid Point Formula
  340.    wt: 2:   4 Equations for lines three forms
  341.    wt: 2:   3 Slope product for perpendicular lines
  342.    wt: 2:   2 point slope equation for a line
  343.    wt: 2:   13 Pythagorean spatial distance formulas
  344.    wt: 2:   12 Spatial Coordinates
  345.    wt: 2:   11 Triangle Inequality
  346.    wt: 2:   10 Pythagorean plane distance formula
  347.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  348.    wt: 2:   8 Distance Between Points on a Line
  349.    wt: 2:   7 Complex Numbers Appetizer
  350.    wt: 2:   3 Rectangular Coordinates Review
  351.    wt: 2:   2 Cartesian Coordinates with signs
  352.    wt: 2:   1 Cartesian Coordinates sans signs
  353.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  354.    wt: 2:   PS H Distributive Law For Complex Numbers
  355.    wt: 2:   PS G Rotation Distributes over Addition
  356.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  357.    wt: 2:   PS E Multiplication with Polar Coordinates
  358.    wt: 2:   PS D Addition with Cartesian Coordinates
  359.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  360.    wt: 2:   PS B Parallelogram Construction Methods
  361.    wt: 2:   PS A Kite Construction Methods
  362.    wt: 2:   21 Parallelograms
  363.    wt: 2:   19 Right Triangle Similarity
  364.    wt: 2:   18 Triangle Similarity Take 1
  365.    wt: 2:   17 Right Bisectors of Triangle Sides
  366.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  367.    wt: 2:   14 Parallel Lines Postulate
  368.    wt: 2:   13 Angle Side Angle Failure
  369.    wt: 2:   12 Side Angle Side Failure
  370.    wt: 2:   11 Triangle Construction Fails
  371.    wt: 2:   10 Dropping a perpendicular to line
  372.    wt: 2:   9 Construction of a right bisector
  373.    wt: 2:   8 Isoceles Triangles
  374.    wt: 2:   7 Angle Side Angle
  375.    wt: 2:   4 Side Side Side
  376.    wt: 2:   3 Isometry of Triangles Congruence
  377.    wt: 2:   2 Correspondence between Triangles
  378.    wt: 2:   Short Course on Euclidean Geometry
  379.    wt: 2:   6 Figuring with Maps Not to Scale
  380.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  381.    wt: 2:   A Modular and Remainder Arithmetic
  382.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  383.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  384.    wt: 2:   13 Arrows and Vectors in a Plane
  385.    wt: 2:   11 Signed Number Addition and Addition Properties
  386.    wt: 2:   8 Division and Mulplication of Compound Fractions
  387.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
  388.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  389.    wt: 2:   E Long Division Methods more
  390.    wt: 2:   D Long Division Methods
  391.    wt: 2:   C Three Decimal Subtraction Methods
  392.    wt: 2:   A Decimal Addition Columm Methods
  393.    wt: 2:   8 Column Multiplication Methods in General
  394.    wt: 2:   7 Decimals Multiplication Methods Examples
  395.    wt: 2:   4 Commutative Law Groups Counting Form
  396.    wt: 2:   3 Multiplicative Counting Skills Principles
  397.    wt: 2:   1 The Counting Origins of Numbers
  398.    wt: 2:   4 Fraction Operations Axiomatic Development
  399.    wt: 2:   2 Fraction Operations Physical Development
  400.    wt: 2:   3 Proportionality Examples
  401.    wt: 2:   1 What is Proportionality
  402.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  403.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  404.    wt: 2:   3 Linear Equation Literal Solution More
  405.    wt: 2:   2 Linear Equation Literal Solution
  406.    wt: 2:   1 Changing Calculations
  407.    wt: 2:   3 Product Axioms Two Forms
  408.    wt: 2:   1 Equivalent Computation Rules
  409.    wt: 2:   16 Real Numbers Comparison
  410.    wt: 2:   15 Real Number Division
  411.    wt: 2:   14 Real Number Multiplication
  412.    wt: 2:   13 Real Number Subtraction
  413.    wt: 2:   12 Real Number Additive Inverses or Negatives
  414.    wt: 2:   11 Real Number Addition
  415.    wt: 2:   9 Coordinates for Regions in Space
  416.    wt: 2:   7 Real Numbers as Line Cordinates
  417.    wt: 2:   4 Rational Numbers
  418.    wt: 2:   3 Fractions
  419.    wt: 2:   2 Integers
  420.    wt: 2:   4 Changing Letters
  421.    wt: 2:   2 Computation Rules Evaluation
  422.    wt: 2:   More Exercises
  423.    wt: 2:   3 GE III Equation Addition and Multiplication
  424.    wt: 2:   4 Four Examples Fractional Coefficients
  425.    wt: 2:   3 Four Examples
  426.    wt: 2:   2 Three Examples
  427.    wt: 2:   1 Proper Equal Sign Usage
  428.    wt: 2:   Skill Development Notes
  429.    wt: 2:   10 One Example
  430.    wt: 2:   9 Three Examples
  431.    wt: 2:   8 One Example
  432.    wt: 2:   7 Two Examples
  433.    wt: 2:   4 Two Examples
  434.    wt: 2:   3 Two Examples
  435.    wt: 2:   2 Three Examples
  436.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  437.    wt: 2:   5 Box Volume Formula Example
  438.    wt: 2:   1 Written work formats for developing and showing skill
  439.    wt: 2:   9 Sets in Probability and Statistics
  440.    wt: 2:   6 Power Set Notation
  441.    wt: 2:   5 Product Builder Notation
  442.    wt: 2:   6 Three Notions of What is a Variable
  443.    wt: 2:   1 Three Skills For Algebra
  444.    wt: 2:   4 Greater More Less Than Signs in General
  445.    wt: 2:   3 Comparison of Negative Numbers
  446.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  447.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  448.    wt: 2:   13 GCD from given Prime Factorization
  449.    wt: 2:   8 GCD from Euclidean Algorithm
  450.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  451.    wt: 2:   1 Least Common Multiples LCM Introduction
  452.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  453.    wt: 2:   4 Counting with Trees Product Rule Take I
  454.    wt: 2:   11 What are real lengths and numbers
  455.    wt: 2:   7 negative and additive inverse
  456.    wt: 2:   3 signed coordinates for maps and planes
  457.    wt: 2:   2 signed and unsigned numbers as coordinates
  458.    wt: 2:   7 Converting or Changing Units
  459.    wt: 2:   6 Simplification of Fractions with Units
  460.    wt: 2:   4 Fractions with Units
  461.    wt: 2:   26 Divisibility by 2 3 5 Example
  462.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  463.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  464.    wt: 2:   23 Remainder Arithmetic Modulo 2
  465.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  466.    wt: 2:   21 Remainder Arithmetic Modulo 3
  467.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  468.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  469.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  470.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  471.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  472.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  473.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  474.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  475.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  476.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  477.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  478.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  479.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  480.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  481.    wt: 2:   5 Remainder Arithmetic Modulo 5
  482.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  483.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  484.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  485.    wt: 2:   1 Remainder Arithmetic Modulo 10
  486.    wt: 2:   17 Identify and Count Factors using Primes
  487.    wt: 2:   12 LCD GCD and LCM using Primes
  488.    wt: 2:   7 Calculator Usage Notes and Cautions
  489.    wt: 2:   3 video Primes and Composites from 9 times table
  490.    wt: 2:   2 Prime and Composites less than 16
  491.    wt: 2:   Division with Counts and Length
  492.    wt: 2:   Long Division forwards and backwards Example 3
  493.    wt: 2:   Long Division forwards and backwards Example 2
  494.    wt: 2:   Long Division forwards and backwards Example 1
  495.    wt: 2:   10 Division by Five Long and Short Ways
  496.    wt: 2:   C Counting Areas with Powers of Ten
  497.    wt: 2:   B Powers of Ten
  498.    wt: 2:   4 Two and Three Digit Multipliers
  499.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  500.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  501.    wt: 2:   Subtraction with J Conversions Example
  502.    wt: 2:   Subtraction Another Video Lesson
  503.    wt: 2:   9 22 Minute Subtraction Review Video
  504.    wt: 2:   8 Subtraction with Units of Measure
  505.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  506.    wt: 2:   2 Subtraction Easy Case Examples
  507.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  508.    wt: 2:   7 Adding decimal fractions using decimal point
  509.    wt: 2:   4. How to add with decimals B with conversions
  510.    wt: 2:   3. How to add with decimals A sans conversions
  511.    wt: 2:   2 Decimal Counting Practices
  512.    wt: 2:   1. Explaining Addition Table
  513.    wt: 2:   11 Place Value SI Standard International way
  514.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  515.    wt: 2:   Exact Arithmetic Wholes and Fractions
  516.    wt: 2:   Area Between Crossing Curves Lesson Take 2
  517.    wt: 2:   Area Between Crossing Curves Lesson Take 1
  518.    wt: 2:   Example 4 with x function of y
  519.    wt: 2:   Example 3
  520.    wt: 2:   Example 2
  521.    wt: 2:   Example 1
  522.    wt: 2:   Area Between Curves Lesson Take 2
  523.    wt: 2:   Area Between Curves Lesson Take 1
  524.    wt: 2:   Summary
  525.    wt: 2:   5 Area Under Curve Exercise
  526.    wt: 2:   4 Definite Integrals Evaluation Exercises
  527.    wt: 2:   3 Two Chain Rule Method Exercises
  528.    wt: 2:   17 Derivatives of quotients of sine and cosine
  529.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  530.    wt: 2:   15 sine and cosine derivatives 3rd step
  531.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  532.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  533.    wt: 2:   9 Limits Continuity and Composition
  534.    wt: 2:   2 Algebraic codification
  535.    wt: 2:   PostScript For and Against Decimal Perspectives
  536.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  537.    wt: 2:   Chapter 15. Algebraic Evaluation of Limits
  538.    wt: 2:   Chapter 12. Units and Slopes
  539.    wt: 2:   Chapter 10 Slopes and Units
  540.    wt: 2:   Chapter 7 Slopes and Velocity
  541.    wt: 2:   Chapter 5. Slope Sign Tests
  542.    wt: 2:   Chapter 2. Slopes and Ski Trails
  543.    wt: 2:   Appendix E. How To Study Mathematics and Why
  544.    wt: 2:   Appendix D. What to do in School and Why
  545.    wt: 2:   Chapter 31 Direct and Indirect Reason
  546.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  547.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  548.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  549.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  550.    wt: 2:   Chapter 20. Degrees and Radians
  551.    wt: 2:   Chapter 19. Functions and Sets
  552.    wt: 2:   Chapter 18. Rules for Algebra
  553.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  554.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  555.    wt: 2:   Chapter 12. Shorthand Usage Guide
  556.    wt: 2:   Chapter 11. Why Shorthand
  557.    wt: 2:   Chapter 10 Describing and Changing Calculations
  558.    wt: 2:   Chapter 8 Three Skills For Algebra
  559.    wt: 2:   Chapter 6 Change of Language
  560.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  561.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  562.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  563.    wt: 2:   S Adding words to algebra
  564.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  565.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  566.    wt: 2:   O On Learning Mathematics and Science
  567.    wt: 2:   N Improving Marks on Tests and Finals
  568.    wt: 2:   J. More on written work and showing skill
  569.    wt: 2:   I. Logic and language skills
  570.    wt: 2:   H Jigsaw puzzles and problem solving
  571.    wt: 2:   G. Written work formats for developing and showing skill
  572.    wt: 2:   F. The student teacher tutor feedback loop
  573.    wt: 2:   How to Build Skills and Confidence
  574.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  575.    wt: 1:   Appendix 1 primary and preschool mathematic
  576.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  577.    wt: 1:   Ramblings Introduction Algebra Essay
  578.    wt: 1:   Skills Chapter 3 Algebra
  579.    wt: 1:   7 logic review and decimals an odd combination
  580.    wt: 1:   6 polynomials etc
  581.    wt: 1:   4 algebra
  582.    wt: 1:   three goals to set for students
  583.    wt: 1:   site origins
  584.    wt: 1:   key notes and themes
  585.    wt: 1:   what should be learnt and When
  586.    wt: 1:   Postscript 2007 01 10
  587.    wt: 1:   talk the algebra talk
  588.    wt: 1:   teaching tips
  589.    wt: 1:   What to Tell Students
  590.    wt: 1:   mathematics curriculum shifts
  591.    wt: 1:   geometric implications for algebra
  592.    wt: 1:   teaching tutoring algebraic reason
  593.    wt: 1:   Lessening Algebra Difficulties
  594.    wt: 1:   the trouble with algebra
  595.    wt: 1:   05 13 OldSiteEntrancePage
  596.    wt: 1:   standards for course material
  597.    wt: 1:   Operational Viewpoint to Value
  598.    wt: 1:   formal or informal peer review
  599.    wt: 1:   Theory of Knowledge
  600.    wt: 1:   mathematics instruction in general
  601.    wt: 1:   Education in mathematics science and technology
  602.    wt: 1:   need for a mixed mathematics curriculum
  603.    wt: 1:   fairness and inductive principles for instruction
  604.    wt: 1:   words for mathematics instructor
  605.    wt: 1:   chapitre 06 00 Chaines de la raison
  606.    wt: 1:   chapitre 05 00 Deception
  607.    wt: 1:   chapitre 04 06 engagements
  608.    wt: 1:   chapitre 04 05 Implication versus suggestion
  609.    wt: 1:   logique deux enigme
  610.    wt: 1:   1 Energy Power Heat06
  611.    wt: 1:   E Energy Power05
  612.    wt: 1:   2 Unlike resistors in parallel01
  613.    wt: 1:   E Kirchoffs Second Law
  614.    wt: 1:   D Kirchoff First Law
  615.    wt: 1:   Home Tutoring and Home Schooling
  616.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  617.    wt: 1:   24 Standards For Skill Develoment Take II
  618.    wt: 1:   24 Standards For Skill Develoment
  619.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  620.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  621.    wt: 1:   17 Math Booklets for children and young teenagers
  622.    wt: 1:   14 Multiplication and Times Tables
  623.    wt: 1:   13 Addition and Addition Tables
  624.    wt: 1:   12 Goals and Objectives For Mathematics
  625.    wt: 1:   11 Help and Defend Your Child or Teens Education
  626.    wt: 1:   4 Learning Takes Time and Effort
  627.    wt: 1:   2 Reading and Writing Skills
  628.    wt: 1:   Ages 6 to 7
  629.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  630.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  631.    wt: 1:   12 motivation for term arctan
  632.    wt: 1:   11 arctan left inverse of tangent Graph
  633.    wt: 1:   10 arctan left inverse of tangent Definition
  634.    wt: 1:   9 motivation for name arcsin
  635.    wt: 1:   8 arcsin left inverse of sine Graph
  636.    wt: 1:   7 arcsin left inverse of sine Definition
  637.    wt: 1:   6 Graph of arccos function
  638.    wt: 1:   5 Swapping Coordinates is a reflection
  639.    wt: 1:   4 possible motivation for term arccos
  640.    wt: 1:   3 Left Inverse of cosine arccos definition
  641.    wt: 1:   2 cosine function more properties
  642.    wt: 1:   1 cosine function properties
  643.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  644.    wt: 1:   13 Velocity Vectors in Physics
  645.    wt: 1:   12 From Applied To Pure Mathematics
  646.    wt: 1:   11 Component Method
  647.    wt: 1:   10 Parallelogram Addition Method
  648.    wt: 1:   9 Head to Tail Coordinate View
  649.    wt: 1:   8 Parallel Vectors
  650.    wt: 1:   4 Resultant of a Sum of Movements
  651.    wt: 1:   3 Navigation with Arrows or Vectors
  652.    wt: 1:   2 Signed Coordinates
  653.    wt: 1:   1 Unsigned Coordinates
  654.    wt: 1:   17 tangent function angle sum formulas
  655.    wt: 1:   32 seven rows of pascals triangle
  656.    wt: 1:   31 basic secant cosecant cotangent trig identities
  657.    wt: 1:   30 unit circle calculation of six trigonometric functions
  658.    wt: 1:   28 Expressing products of sines cosines as sums
  659.    wt: 1:   25 tangent double angle formula Slope connection
  660.    wt: 1:   24 tangent Angle Difference Formula
  661.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  662.    wt: 1:   18 sum of sinusoidal waves as a single wave
  663.    wt: 1:   17G Pythagorean Theorem Converse
  664.    wt: 1:   17F Law of cosines
  665.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  666.    wt: 1:   17A The complex number valued trig function cis
  667.    wt: 1:   16 Right Triangle Complementary Angle Relations
  668.    wt: 1:   15 sine cosine Complementary Angle Relations
  669.    wt: 1:   13 Graph of tangent function many periods
  670.    wt: 1:   12 Graph of tangent function for one period
  671.    wt: 1:   11 tangent function undefined when terminal side vertical
  672.    wt: 1:   2 Quadrant I reference Angles
  673.    wt: 1:   1 Unit Points Reflections Rotations
  674.    wt: 1:   15 Pythagorean Theorem Converse
  675.    wt: 1:   14 Law of cosines
  676.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  677.    wt: 1:   9 The complex number valued trig function cis
  678.    wt: 1:   8 Unit Circle Development of Trigonometry
  679.    wt: 1:   7 Second Way to Calculate Products
  680.    wt: 1:   4 Multiplication Properties
  681.    wt: 1:   3 Addition Properties
  682.    wt: 1:   2 Complex Numbers made easier we hope
  683.    wt: 1:   1 Rectangular Polar Coordinates Review
  684.    wt: 1:   Appetizer A Complex Number Applet
  685.    wt: 1:   A Measurement with Ruler Proper Use
  686.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  687.    wt: 1:   4 Angles on Maps Plans drawn to scale
  688.    wt: 1:   2 Measuring Area Directly
  689.    wt: 1:   1 Length Measurement
  690.    wt: 1:   About Folder Contents
  691.    wt: 1:   musings do not puiblish real numbers
  692.    wt: 1:   A Signed Number Arithmetic Review
  693.    wt: 1:   26 More Less Greater Than Comparison
  694.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  695.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  696.    wt: 1:   23 Distributive Law Two Derivations
  697.    wt: 1:   22 Multiplication of Signed Numbers
  698.    wt: 1:   21 Addition of Multiples of a Single Vector
  699.    wt: 1:   19 Signed Multiples of Vectors
  700.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  701.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  702.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  703.    wt: 1:   15 Head to Tails in place Addition Associative
  704.    wt: 1:   12 Real Numbers Line Signed Coordinates
  705.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  706.    wt: 1:   9 Division with Digits after Decimal Point
  707.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  708.    wt: 1:   4 Location of Point in Decimal Addition
  709.    wt: 1:   3 Location of Point in Decimal Multiplication
  710.    wt: 1:   2 Counting Digits in Decimal Multiplication
  711.    wt: 1:   1 Fractions with Finite Decimal Expansions
  712.    wt: 1:   Simple Exercises
  713.    wt: 1:   4 GE III Animated Examples
  714.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  715.    wt: 1:   2 GE II Comparison
  716.    wt: 1:   1 GE Substitution four examples
  717.    wt: 1:   4 Solving a triangular system exercise
  718.    wt: 1:   3 Solving triangular system example
  719.    wt: 1:   2 Essentially one exercises three with solution
  720.    wt: 1:   1 Essentially One Unknown
  721.    wt: 1:   Using Letters for Physical Quantities
  722.    wt: 1:   Formula Usage Show Work Format
  723.    wt: 1:   13 Naming Identifying Formulas with Words
  724.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  725.    wt: 1:   11 Volume of Sphere
  726.    wt: 1:   10 Volume of Pyramid
  727.    wt: 1:   9 Volume of Cone
  728.    wt: 1:   8 Compound Interest Formula Evaluation
  729.    wt: 1:   7 Compound Interest Formula Introduction
  730.    wt: 1:   4 Circle Area Formula Example
  731.    wt: 1:   3 Triangle Area Formula Example
  732.    wt: 1:   2 Another Rectangle Area Formula Example
  733.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  734.    wt: 1:   8 Sets of Numbers
  735.    wt: 1:   7 Cautious or Safe Set Construction
  736.    wt: 1:   4 Subset Builder Notation
  737.    wt: 1:   3 Counting with Sets etc
  738.    wt: 1:   2 Venn Diagrams
  739.    wt: 1:   1 Finite Sets
  740.    wt: 1:   3 Adding Words To Arithmetic
  741.    wt: 1:   2 What is a Variable
  742.    wt: 1:   About Folder Contents
  743.    wt: 1:   arithmetic videos Real Player Format
  744.    wt: 1:   10 dividing signed numbers
  745.    wt: 1:   9 subtracting signed numbers
  746.    wt: 1:   8 multiplying signed numbers
  747.    wt: 1:   4 signed coordinates for regions in space
  748.    wt: 1:   20 Uniqueness of Prime Factorization
  749.    wt: 1:   19 video Prime Factorization Unique
  750.    wt: 1:   18 video Count Factors given Prime Factorization
  751.    wt: 1:   16 video Factors of 980 using prime
  752.    wt: 1:   15 video Factors of 20 using Prime Factorization
  753.    wt: 1:   14 video Factors of 24 Take II
  754.    wt: 1:   13 video Factors of 24 using prime
  755.    wt: 1:   11 Efficient Square Rule Use
  756.    wt: 1:   10 video Prime Factorization upto 23 squared
  757.    wt: 1:   9 video Prime Factorization upto 19 squared
  758.    wt: 1:   8 video Prime Factorization upto 19
  759.    wt: 1:   4 video Prime Factorization Introduction
  760.    wt: 1:   1 video how Products are bigger than factor
  761.    wt: 1:   Long Division Backwards more
  762.    wt: 1:   Long Division Backward
  763.    wt: 1:   12 Why Long Division Works Take III
  764.    wt: 1:   11 Another Single Digit Divisor Example
  765.    wt: 1:   9 Why Long Division Works Take II
  766.    wt: 1:   8 Correcting the Mistake
  767.    wt: 1:   7 Long Divison Mistake Catching
  768.    wt: 1:   4 Division with 2 Digit Divsors
  769.    wt: 1:   3 Division Single Digit Divisor Example
  770.    wt: 1:   2 Division with Single Digit Divisors
  771.    wt: 1:   1 Divsion Physical Examples
  772.    wt: 1:   D Decimal Multiplication Methods Derived
  773.    wt: 1:   A Elementary Basis for Multiplication Methods
  774.    wt: 1:   3 More One Digit Multipliers
  775.    wt: 1:   2 One Digit Multipliers
  776.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  777.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  778.    wt: 1:   Video Power Notation in Decimal Expansion
  779.    wt: 1:   1 Why 3 times 5 gives 15
  780.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  781.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  782.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  783.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  784.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  785.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  786.    wt: 1:   Formula Evaluation how to show work
  787.    wt: 1:   Expression Evaluation how to show work
  788.    wt: 1:   The 20 Times Table
  789.    wt: 1:   The 12 Times Table Visually
  790.    wt: 1:   About folder contents
  791.    wt: 1:   015 School and work day counting tables
  792.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  793.    wt: 1:   6 How long is a million seconds
  794.    wt: 1:   5 Conversion Arithmetic
  795.    wt: 1:   4 Mixing and Changing Units of Time
  796.    wt: 1:   3 Units and Lengths of Time
  797.    wt: 1:   2 Time and Date Matters in School
  798.    wt: 1:   A Related Material in Volume 3
  799.    wt: 1:   2 Indefinite Integrals Exercises
  800.    wt: 1:   1 Chain Rule in Reverse Integration Method
  801.    wt: 1:   4 Second derivative test exercise example
  802.    wt: 1:   21 Chain Rule for powers
  803.    wt: 1:   14 sine and cosine derivatives 2nd step
  804.    wt: 1:   13 sine and cosine derivatives 1st step
  805.    wt: 1:   6 Power rule from product rule
  806.    wt: 1:   5 Product Rule
  807.    wt: 1:   11 Limits at infinity Three Examples
  808.    wt: 1:   10 Three one sided limits with infinite values
  809.    wt: 1:   8 Four Animated Examples
  810.    wt: 1:   7 Evaluation by immediate or delayed substitution
  811.    wt: 1:   4 Numerical properties
  812.    wt: 1:   3 Decimal insights for limits continuity convergence
  813.    wt: 1:   1 Numerical introduction
  814.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  815.    wt: 1:   E2 Algebraic Properties of Limits
  816.    wt: 1:   D2 Limits of Monotone Sequences
  817.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  818.    wt: 1:   Chapter 23 Links To Trigonometry
  819.    wt: 1:   Chapter 22 Complex Numbers
  820.    wt: 1:   Chapter 21 Arrow Addition
  821.    wt: 1:   Chapter 18. Slopes Areas Integration
  822.    wt: 1:   Chapter 17. Area Approximation
  823.    wt: 1:   Chapter 16. Velocity Approximation
  824.    wt: 1:   Chapter 15. Slope Approximation
  825.    wt: 1:   Chapter 13. Acceleration
  826.    wt: 1:   Chapter 11. Graphing Slope versus Position
  827.    wt: 1:   Chapter 9 About First Courses in Calculus
  828.    wt: 1:   Chapter 8. Slope Interpretation
  829.    wt: 1:   Chapter 4. More Slope Sign Analysis
  830.    wt: 1:   Chapter 3. Slope Sign Analysis
  831.    wt: 1:   Chapter 1.Introduction
  832.    wt: 1:   Fall 1983 Calculus Appetizer
  833.    wt: 1:   Foreword
  834.    wt: 1:   Postscript More on Better Performance
  835.    wt: 1:   Postscript For Better Performance
  836.    wt: 1:   Appendix C. How to Read
  837.    wt: 1:   Appendix B. How To Learn
  838.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  839.    wt: 1:   Chapter 30 Truth Tables
  840.    wt: 1:   Chapter 28 Occurrence Tables
  841.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  842.    wt: 1:   Chapter 25. Mathematical Induction Examples
  843.    wt: 1:   Chapter 25. Mathematical Induction Examples
  844.    wt: 1:   Chapter 23. Notation For Sums
  845.    wt: 1:   Chapter 21. Third Reading Guide
  846.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  847.    wt: 1:   Chapter 16. Painless Theorem Proving
  848.    wt: 1:   Chapter 15. Solving Linear Equations
  849.    wt: 1:   Chapter 13. Second Reading Guide
  850.    wt: 1:   Postscript What is a Variable
  851.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  852.    wt: 1:   Solutions For Arithmetic Exercises
  853.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  854.    wt: 1:   Chapter 4 Longer Chains of Reason
  855.    wt: 1:   Chapter 3 Chains of Reason
  856.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  857.    wt: 1:   Foreword
  858.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  859.    wt: 1:   Chapter 5 Four References
  860.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  861.    wt: 1:   Chapter 3 Algebra Difficulties
  862.    wt: 1:   Chapter 2 For and Against Mathematics
  863.    wt: 1:   Postscript B More on Story Telling and Reason
  864.    wt: 1:   Chapter 24 Direct and Indirect Reason
  865.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  866.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  867.    wt: 1:   Chapter 18 Sense and Knowledge
  868.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  869.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  870.    wt: 1:   Chapter 6 Chains of Reason
  871.    wt: 1:   Chapter 5 Deception
  872.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  873.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  874.    wt: 1:   R Why Learn Mathematics Skills
  875.    wt: 1:   N Mathematics Prepare for College Studies
  876.    wt: 1:   M Words to extend arithmetic
  877.    wt: 1:   L Skills with take home value
  878.    wt: 1:   H more Routine to non routine problem solving
  879.    wt: 1:   D. Check work a must with a caution
  880.    wt: 1:   C. Domino effect of being careful
  881.    wt: 1:   B. Domino effect of errors
  882.    wt: 1:   A. Skill has to be seen to believed
  883.    wt: 1:   Helping the Blind in Logic and Mathematics
  884.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  885.    wt: 1:   Implementation Notes
  886.    wt: 1:   Systematic Algebra Skill Development Missing Links
  887.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  888.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  889.    wt: 1:   Which Way To Go
  890.    wt: 1:   Montreal Basic and Advanced Mathematics Tutoring
  891.    wt: 13:   6 Formulas for Even and Odd Roots with Logarithms
  892.    wt: 12:   3 Natural Logarithms and Exponentials Basic Properties
  893.    wt: 11:   5 Natural Logarithm Calculator Exercises
  894.    wt: 10:   9 Formulas for Real Exponents with Logarithms
  895.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
  896.    wt: 10:   7 Formulas for Roots with Logarithms Derivation

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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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