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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  1.    wt: 4:   Mathematics Education Essays/
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  3.    wt: 2:   2 Formula Forward Use Evaluation/
  4.    wt: 1:   LAMP Lean Applied Mathematics Program/
  5.    wt: 1:   Archives/
  6.    wt: 1:   9 Proportionality Backwards and Forwards/
  7.    wt: 1:   8 Unifying Theme For Algebra/
  8.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  9.    wt: 1:   Volume 2 Three Skills For Algebra/

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178 matches:

  1.    wt: 3:   permissions for teachers
  2.    wt: 2:   Education Reform Inconsistencies
  3.    wt: 2:   three goals for Mathematics Education
  4.    wt: 2:   02 21 words for teachers
  5.    wt: 2:   formal or informal peer review
  6.    wt: 2:   Four ways to improve education reform
  7.    wt: 2:   Prequel In For A Penny In For A Pound
  8.    wt: 2:   5 Function notation for geometric transformations
  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:   6 Formulas for Even and Odd Roots with Logarithms
  13.    wt: 2:   26 Formulas for products of sines and cosines
  14.    wt: 2:   17E Trig Formulas for dot and cross Products
  15.    wt: 2:   17D cis formulas for sine cosines and tangent
  16.    wt: 2:   13 Trig Formulas for dot and cross Products
  17.    wt: 2:   12 cis formulas for sine cosines and tangent
  18.    wt: 2:   4 Equations for lines three forms
  19.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  20.    wt: 2:   Formula Usage Show Work Format
  21.    wt: 2:   1 Written work formats for developing and showing skill
  22.    wt: 2:   38 Formulas and derivatives for powers and roots
  23.    wt: 2:   Postscript For Better Performance
  24.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  25.    wt: 2:   G. Written work formats for developing and showing skill
  26.    wt: 1:   K LAMP Musings Science Education
  27.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  28.    wt: 1:   three goals to set for students
  29.    wt: 1:   Teach the teachers plus goals
  30.    wt: 1:   activities for students
  31.    wt: 1:   links Education Resources online
  32.    wt: 1:   Mathematics Education Professors
  33.    wt: 1:   modern education
  34.    wt: 1:   geometric implications for algebra
  35.    wt: 1:   02 20 mathematics education references
  36.    wt: 1:   three aims for mathematics students
  37.    wt: 1:   standards for course material
  38.    wt: 1:   Education in mathematics science and technology
  39.    wt: 1:   need for a mixed mathematics curriculum
  40.    wt: 1:   education an empirical art
  41.    wt: 1:   fairness and inductive principles for instruction
  42.    wt: 1:   words for mathematics instructor
  43.    wt: 1:   C Electromotive force conventional current02
  44.    wt: 1:   B Electromotive force conventional current01
  45.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  46.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  47.    wt: 1:   24 Standards For Skill Develoment Take II
  48.    wt: 1:   24 Standards For Skill Develoment
  49.    wt: 1:   17 Math Booklets for children and young teenagers
  50.    wt: 1:   15 Counting For Parents
  51.    wt: 1:   12 Goals and Objectives For Mathematics
  52.    wt: 1:   11 Help and Defend Your Child or Teens Education
  53.    wt: 1:   10 Ends values for work study instruction
  54.    wt: 1:   5 Patience Please for Yourself and Your Charges
  55.    wt: 1:   4 Learning Takes Time and Effort
  56.    wt: 1:   3 Preparing for Science Studies
  57.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  58.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  59.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  60.    wt: 1:   6 Set Existence Formation and Notation
  61.    wt: 1:   3 Formula or function graphing exercise
  62.    wt: 1:   8 quadratics backward use of various formulas
  63.    wt: 1:   7 quadratic formulla derivation
  64.    wt: 1:   8 Notes for instructors or tutors
  65.    wt: 1:   12 motivation for term arctan
  66.    wt: 1:   9 motivation for name arcsin
  67.    wt: 1:   4 possible motivation for term arccos
  68.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  69.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  70.    wt: 1:   8 Straight Lines Equation for vertical
  71.    wt: 1:   17 tangent function angle sum formulas
  72.    wt: 1:   29 secant cosecant and cotangent for acute angles
  73.    wt: 1:   25 tangent double angle formula Slope connection
  74.    wt: 1:   24 tangent Angle Difference Formula
  75.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  76.    wt: 1:   21 sine and cosine Half Angle Formulas
  77.    wt: 1:   20 sine and cosine Double Angle Formulas
  78.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  79.    wt: 1:   17C sine and cosine double triple angle formulas
  80.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  81.    wt: 1:   12 Graph of tangent function for one period
  82.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  83.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  84.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  85.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  86.    wt: 1:   11 sine and cosine double triple angle formulas
  87.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  88.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  89.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  90.    wt: 1:   8 Mid Point Formula
  91.    wt: 1:   3 Slope product for perpendicular lines
  92.    wt: 1:   2 point slope equation for a line
  93.    wt: 1:   13 Pythagorean spatial distance formulas
  94.    wt: 1:   10 Pythagorean plane distance formula
  95.    wt: 1:   PS H Distributive Law For Complex Numbers
  96.    wt: 1:   6 Column Methods for Decimal Multiplication
  97.    wt: 1:   5 Distributive Law for Whole Numbers
  98.    wt: 1:   4 Commutative Law Groups Counting Form
  99.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  100.    wt: 1:   6 Compound Interest Forward and Backwards
  101.    wt: 1:   5 Triangle Area Formula Backwards
  102.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  103.    wt: 1:   3 Product Axioms Two Forms
  104.    wt: 1:   2 More and Less Than for Counts and Measures
  105.    wt: 1:   9 Coordinates for Regions in Space
  106.    wt: 1:   8 Coordinates for Maps and Planes
  107.    wt: 1:   3 Geometric Formulas and Function Notation
  108.    wt: 1:   1 Formulas Dependence and Function Notation
  109.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  110.    wt: 1:   Using Letters for Physical Quantities
  111.    wt: 1:   13 Naming Identifying Formulas with Words
  112.    wt: 1:   8 Compound Interest Formula Evaluation
  113.    wt: 1:   7 Compound Interest Formula Introduction
  114.    wt: 1:   5 Box Volume Formula Example
  115.    wt: 1:   4 Circle Area Formula Example
  116.    wt: 1:   3 Triangle Area Formula Example
  117.    wt: 1:   2 Another Rectangle Area Formula Example
  118.    wt: 1:   1 Three Skills For Algebra
  119.    wt: 1:   arithmetic videos Real Player Format
  120.    wt: 1:   1 More and Less Than for Counts and Measures
  121.    wt: 1:   4 signed coordinates for regions in space
  122.    wt: 1:   3 signed coordinates for maps and planes
  123.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  124.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  125.    wt: 1:   21 Reciprocals for Fractions and Wholes
  126.    wt: 1:   11 Adding Integers Formulas and Examples
  127.    wt: 1:   10 Integer Multiplication Formulas
  128.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  129.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  130.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  131.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  132.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  133.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  134.    wt: 1:   Long Division forwards and backwards Example 3
  135.    wt: 1:   Long Division forwards and backwards Example 2
  136.    wt: 1:   Long Division forwards and backwards Example 1
  137.    wt: 1:   A Elementary Basis for Multiplication Methods
  138.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  139.    wt: 1:   5 A Tip for Efficent Subtraction
  140.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  141.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  142.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  143.    wt: 1:   Formula Evaluation how to show work
  144.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  145.    wt: 1:   28 Chain Rule Preparation for a Proof
  146.    wt: 1:   22 Chain Rule for polynomials
  147.    wt: 1:   21 Chain Rule for powers
  148.    wt: 1:   20 Chain Rule for Pulley Systems
  149.    wt: 1:   19 Chain Rule for linear functions
  150.    wt: 1:   10 Power rule for negative integers
  151.    wt: 1:   3 Motivation for Limit Definition Take 2
  152.    wt: 1:   2 Motivation for Limit Definition Take 1
  153.    wt: 1:   3 Decimal insights for limits continuity convergence
  154.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  155.    wt: 1:   PostScript For and Against Decimal Perspectives
  156.    wt: 1:   Foreword
  157.    wt: 1:   Postscript More on Better Performance
  158.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  159.    wt: 1:   Chapter 23. Notation For Sums
  160.    wt: 1:   Chapter 18. Rules for Algebra
  161.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  162.    wt: 1:   Chapter 8 Three Skills For Algebra
  163.    wt: 1:   Solutions For Arithmetic Exercises
  164.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  165.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  166.    wt: 1:   Foreword
  167.    wt: 1:   Postscript B Mathematics Education References
  168.    wt: 1:   Chapter 2 For and Against Mathematics
  169.    wt: 1:   Foreword
  170.    wt: 1:   Postscript C Consistency as a Tool for Reason
  171.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  172.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  173.    wt: 1:   Foreword
  174.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  175.    wt: 1:   N Mathematics Prepare for College Studies
  176.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  177.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  178.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

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  1.    wt: 7:   permissions for teachers
  2.    wt: 6:   Education Reform Inconsistencies
  3.    wt: 6:   three goals for Mathematics Education
  4.    wt: 6:   02 21 words for teachers
  5.    wt: 6:   formal or informal peer review
  6.    wt: 6:   Four ways to improve education reform
  7.    wt: 6:   Prequel In For A Penny In For A Pound
  8.    wt: 5:   three goals to set for students
  9.    wt: 5:   Teach the teachers plus goals
  10.    wt: 5:   activities for students
  11.    wt: 5:   links Education Resources online
  12.    wt: 5:   Mathematics Education Professors
  13.    wt: 5:   modern education
  14.    wt: 5:   geometric implications for algebra
  15.    wt: 5:   02 20 mathematics education references
  16.    wt: 5:   three aims for mathematics students
  17.    wt: 5:   standards for course material
  18.    wt: 5:   Education in mathematics science and technology
  19.    wt: 5:   need for a mixed mathematics curriculum
  20.    wt: 5:   education an empirical art
  21.    wt: 5:   fairness and inductive principles for instruction
  22.    wt: 5:   words for mathematics instructor
  23.    wt: 4:   why bother
  24.    wt: 4:   which way to go
  25.    wt: 4:   website reviews
  26.    wt: 4:   Math Ed if it must be short make it lean effective
  27.    wt: 4:   Applied Maths Program14092009 POMME variant
  28.    wt: 4:   site origins
  29.    wt: 4:   site eurekas
  30.    wt: 4:   About site lesson plans
  31.    wt: 4:   key notes and themes
  32.    wt: 4:   teacher certification
  33.    wt: 4:   learning takes time
  34.    wt: 4:   grouping students according to ability
  35.    wt: 4:   what should be learnt and When
  36.    wt: 4:   mathematics in context
  37.    wt: 4:   Postscript 2007 01 10
  38.    wt: 4:   five decades make a difference
  39.    wt: 4:   Maps Plans Drawings
  40.    wt: 4:   how letters appear
  41.    wt: 4:   Secondary Three Mathematics
  42.    wt: 4:   Secondary Two Mathematics
  43.    wt: 4:   Secondary One Mathematics
  44.    wt: 4:   talk the algebra talk
  45.    wt: 4:   three difficulties
  46.    wt: 4:   teaching tips
  47.    wt: 4:   What to Tell Students
  48.    wt: 4:   mathematics curriculum shifts
  49.    wt: 4:   teaching tutoring algebraic reason
  50.    wt: 4:   Lessening Algebra Difficulties
  51.    wt: 4:   the trouble with algebra
  52.    wt: 4:   05 13 OldSiteEntrancePage
  53.    wt: 4:   04 29 New Mathematics Curriculum
  54.    wt: 4:   04 25 when to stop or suspend mathemat
  55.    wt: 4:   Operational Viewpoint to Value
  56.    wt: 4:   Theory of Knowledge
  57.    wt: 4:   mathematics instruction in general
  58.    wt: 4:   Different Kinds of Reasoning in maths
  59.    wt: 4:   three kinds of reason in mathematics
  60.    wt: 4:   cultivating intelligence
  61.    wt: 4:   How to be a better instructor
  62.    wt: 4:   Motivation and Context Problem
  63.    wt: 4:   Leaner mathematics curriculum
  64.    wt: 4:   1 Written work formats for developing and showing skill
  65.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  66.    wt: 3:   13 Naming Identifying Formulas with Words
  67.    wt: 3:   8 Compound Interest Formula Evaluation
  68.    wt: 3:   7 Compound Interest Formula Introduction
  69.    wt: 3:   5 Box Volume Formula Example
  70.    wt: 3:   4 Circle Area Formula Example
  71.    wt: 3:   3 Triangle Area Formula Example
  72.    wt: 3:   2 Another Rectangle Area Formula Example
  73.    wt: 3:   Postscript For Better Performance
  74.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  75.    wt: 2:   K LAMP Musings Science Education
  76.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  77.    wt: 2:   11 pure mathematics
  78.    wt: 2:   10 statistics
  79.    wt: 2:   9 combinatorics probability sets
  80.    wt: 2:   8 analytic geometry etc
  81.    wt: 2:   7 logic review and decimals an odd combination
  82.    wt: 2:   6 polynomials etc
  83.    wt: 2:   5 logarithms and exponentials etc
  84.    wt: 2:   4 algebra
  85.    wt: 2:   3 Euclidean Geometry Leanly
  86.    wt: 2:   2 arithmetic with signed numbers
  87.    wt: 2:   1 arithmetic with unsigned numbers
  88.    wt: 2:   What is POMME
  89.    wt: 2:   5 Function notation for geometric transformations
  90.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  91.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  92.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  93.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  94.    wt: 2:   26 Formulas for products of sines and cosines
  95.    wt: 2:   17E Trig Formulas for dot and cross Products
  96.    wt: 2:   17D cis formulas for sine cosines and tangent
  97.    wt: 2:   13 Trig Formulas for dot and cross Products
  98.    wt: 2:   12 cis formulas for sine cosines and tangent
  99.    wt: 2:   4 Equations for lines three forms
  100.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  101.    wt: 2:   6 Compound Interest Forward and Backwards
  102.    wt: 2:   5 Triangle Area Formula Backwards
  103.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  104.    wt: 2:   Formula Usage Show Work Format
  105.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  106.    wt: 2:   11 Volume of Sphere
  107.    wt: 2:   10 Volume of Pyramid
  108.    wt: 2:   9 Volume of Cone
  109.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  110.    wt: 2:   38 Formulas and derivatives for powers and roots
  111.    wt: 2:   Postscript More on Better Performance
  112.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  113.    wt: 2:   Chapter 23. Notation For Sums
  114.    wt: 2:   Chapter 18. Rules for Algebra
  115.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  116.    wt: 2:   Chapter 8 Three Skills For Algebra
  117.    wt: 2:   Solutions For Arithmetic Exercises
  118.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  119.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  120.    wt: 2:   Foreword
  121.    wt: 2:   G. Written work formats for developing and showing skill
  122.    wt: 1:   Appendix 2 primary school Arithmetic 01
  123.    wt: 1:   Appendix 1 primary and preschool mathematic
  124.    wt: 1:   J LAMP Introduction Extrinsic Origins
  125.    wt: 1:   I LAMP Introduction Study Habits
  126.    wt: 1:   H LAMP Introduction Instructional Concepts
  127.    wt: 1:   G LAMP Introduction Problem Solving Skills
  128.    wt: 1:   F LAMP Introduction Prerequisites
  129.    wt: 1:   E LAMP Introduction Modern Mathematics
  130.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  131.    wt: 1:   A Introduction Objectives
  132.    wt: 1:   Skills Chapter 5 Calculus
  133.    wt: 1:   Skills Chapter 4 Logic
  134.    wt: 1:   Ramblings Extrinsic numbers theory
  135.    wt: 1:   Ramblings Introduction Algebra Essay
  136.    wt: 1:   Skills Chapter 3 Algebra
  137.    wt: 1:   Skills Chapter 2 Geometry
  138.    wt: 1:   Skills Chapter 1 Arithmetic
  139.    wt: 1:   Skills Chapter 0 Introduction
  140.    wt: 1:   C Electromotive force conventional current02
  141.    wt: 1:   B Electromotive force conventional current01
  142.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  143.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  144.    wt: 1:   24 Standards For Skill Develoment Take II
  145.    wt: 1:   24 Standards For Skill Develoment
  146.    wt: 1:   17 Math Booklets for children and young teenagers
  147.    wt: 1:   15 Counting For Parents
  148.    wt: 1:   12 Goals and Objectives For Mathematics
  149.    wt: 1:   11 Help and Defend Your Child or Teens Education
  150.    wt: 1:   10 Ends values for work study instruction
  151.    wt: 1:   5 Patience Please for Yourself and Your Charges
  152.    wt: 1:   4 Learning Takes Time and Effort
  153.    wt: 1:   3 Preparing for Science Studies
  154.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  155.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  156.    wt: 1:   Objectives for Mathematics and Logic Language Skill Development
  157.    wt: 1:   6 Set Existence Formation and Notation
  158.    wt: 1:   3 Formula or function graphing exercise
  159.    wt: 1:   8 quadratics backward use of various formulas
  160.    wt: 1:   7 quadratic formulla derivation
  161.    wt: 1:   8 Notes for instructors or tutors
  162.    wt: 1:   12 motivation for term arctan
  163.    wt: 1:   9 motivation for name arcsin
  164.    wt: 1:   4 possible motivation for term arccos
  165.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  166.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  167.    wt: 1:   8 Straight Lines Equation for vertical
  168.    wt: 1:   17 tangent function angle sum formulas
  169.    wt: 1:   29 secant cosecant and cotangent for acute angles
  170.    wt: 1:   25 tangent double angle formula Slope connection
  171.    wt: 1:   24 tangent Angle Difference Formula
  172.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  173.    wt: 1:   21 sine and cosine Half Angle Formulas
  174.    wt: 1:   20 sine and cosine Double Angle Formulas
  175.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  176.    wt: 1:   17C sine and cosine double triple angle formulas
  177.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  178.    wt: 1:   12 Graph of tangent function for one period
  179.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  180.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  181.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  182.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  183.    wt: 1:   11 sine and cosine double triple angle formulas
  184.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  185.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  186.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  187.    wt: 1:   8 Mid Point Formula
  188.    wt: 1:   3 Slope product for perpendicular lines
  189.    wt: 1:   2 point slope equation for a line
  190.    wt: 1:   13 Pythagorean spatial distance formulas
  191.    wt: 1:   10 Pythagorean plane distance formula
  192.    wt: 1:   PS H Distributive Law For Complex Numbers
  193.    wt: 1:   6 Column Methods for Decimal Multiplication
  194.    wt: 1:   5 Distributive Law for Whole Numbers
  195.    wt: 1:   4 Commutative Law Groups Counting Form
  196.    wt: 1:   5 Proportionality in Equivalent Fractions
  197.    wt: 1:   4 Rates Ratios and Proporitionality
  198.    wt: 1:   3 Proportionality Examples
  199.    wt: 1:   2 Algebraic View
  200.    wt: 1:   1 What is Proportionality
  201.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  202.    wt: 1:   3 Linear Equation Literal Solution More
  203.    wt: 1:   2 Linear Equation Literal Solution
  204.    wt: 1:   1 Changing Calculations
  205.    wt: 1:   3 Product Axioms Two Forms
  206.    wt: 1:   2 More and Less Than for Counts and Measures
  207.    wt: 1:   9 Coordinates for Regions in Space
  208.    wt: 1:   8 Coordinates for Maps and Planes
  209.    wt: 1:   3 Geometric Formulas and Function Notation
  210.    wt: 1:   1 Formulas Dependence and Function Notation
  211.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  212.    wt: 1:   6 Algebraic Solution Example
  213.    wt: 1:   5 Algebraic Solutions Introduction
  214.    wt: 1:   4 Four Examples Fractional Coefficients
  215.    wt: 1:   3 Four Examples
  216.    wt: 1:   2 Three Examples
  217.    wt: 1:   1 Proper Equal Sign Usage
  218.    wt: 1:   Using Letters for Physical Quantities
  219.    wt: 1:   1 Three Skills For Algebra
  220.    wt: 1:   arithmetic videos Real Player Format
  221.    wt: 1:   1 More and Less Than for Counts and Measures
  222.    wt: 1:   4 signed coordinates for regions in space
  223.    wt: 1:   3 signed coordinates for maps and planes
  224.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  225.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  226.    wt: 1:   21 Reciprocals for Fractions and Wholes
  227.    wt: 1:   11 Adding Integers Formulas and Examples
  228.    wt: 1:   10 Integer Multiplication Formulas
  229.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  230.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  231.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  232.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  233.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  234.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  235.    wt: 1:   Long Division forwards and backwards Example 3
  236.    wt: 1:   Long Division forwards and backwards Example 2
  237.    wt: 1:   Long Division forwards and backwards Example 1
  238.    wt: 1:   A Elementary Basis for Multiplication Methods
  239.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  240.    wt: 1:   5 A Tip for Efficent Subtraction
  241.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  242.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  243.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  244.    wt: 1:   Formula Evaluation how to show work
  245.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  246.    wt: 1:   28 Chain Rule Preparation for a Proof
  247.    wt: 1:   22 Chain Rule for polynomials
  248.    wt: 1:   21 Chain Rule for powers
  249.    wt: 1:   20 Chain Rule for Pulley Systems
  250.    wt: 1:   19 Chain Rule for linear functions
  251.    wt: 1:   10 Power rule for negative integers
  252.    wt: 1:   3 Motivation for Limit Definition Take 2
  253.    wt: 1:   2 Motivation for Limit Definition Take 1
  254.    wt: 1:   3 Decimal insights for limits continuity convergence
  255.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  256.    wt: 1:   PostScript For and Against Decimal Perspectives
  257.    wt: 1:   Foreword
  258.    wt: 1:   Appendix E. How To Study Mathematics and Why
  259.    wt: 1:   Appendix D. What to do in School and Why
  260.    wt: 1:   Appendix C. How to Read
  261.    wt: 1:   Appendix B. How To Learn
  262.    wt: 1:   Chapter 31 Direct and Indirect Reason
  263.    wt: 1:   Chapter 30 Truth Tables
  264.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  265.    wt: 1:   Chapter 28 Occurrence Tables
  266.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  267.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  268.    wt: 1:   Chapter 25. Mathematical Induction Examples
  269.    wt: 1:   Chapter 25. Mathematical Induction Examples
  270.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  271.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  272.    wt: 1:   Chapter 21. Third Reading Guide
  273.    wt: 1:   Chapter 20. Degrees and Radians
  274.    wt: 1:   Chapter 19. Functions and Sets
  275.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  276.    wt: 1:   Chapter 16. Painless Theorem Proving
  277.    wt: 1:   Chapter 15. Solving Linear Equations
  278.    wt: 1:   Chapter 13. Second Reading Guide
  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:   Postscript What is a Variable
  283.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  284.    wt: 1:   Chapter 6 Change of Language
  285.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  286.    wt: 1:   Chapter 4 Longer Chains of Reason
  287.    wt: 1:   Chapter 3 Chains of Reason
  288.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  289.    wt: 1:   Postscript B Mathematics Education References
  290.    wt: 1:   Chapter 2 For and Against Mathematics
  291.    wt: 1:   Foreword
  292.    wt: 1:   Postscript C Consistency as a Tool for Reason
  293.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  294.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  295.    wt: 1:   Foreword
  296.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  297.    wt: 1:   N Mathematics Prepare for College Studies
  298.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  299.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  300.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year

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Logarithms-ax & m/nth roots
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What is a Variable
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