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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9 matches:

  1.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  2.    wt: 2:   Parent Center/
  3.    wt: 1:   5 Factored Polynomial Sign Analysis Examples/
  4.    wt: 1:   A Origins of Counting and Figuring Methods/
  5.    wt: 1:   10 Examples of Algebraic Reasoning/
  6.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  7.    wt: 1:   2 Formula Forward Use Evaluation/
  8.    wt: 1:   8 Arithmetic with Signed Numbers/
  9.    wt: 1:   Volume 1 Elements of Reason/

Web Page Search

229 matches:

  1.    wt: 3:   27 Logarithmic use of products of sines and cosines
  2.    wt: 3:   1 Proper Equal Sign Usage
  3.    wt: 2:   15 Sign analysis of functions
  4.    wt: 2:   2 Algebraic use of function notation
  5.    wt: 2:   8 quadratics backward use of various formulas
  6.    wt: 2:   4 Resultant of a Sum of Movements
  7.    wt: 2:   6 Field Properties of Complex Number
  8.    wt: 2:   5 An Easy Proof of the Distributive Law
  9.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  10.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  11.    wt: 2:   A Measurement with Ruler Proper Use
  12.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  13.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  14.    wt: 2:   22 Multiplication of Signed Numbers
  15.    wt: 2:   21 Addition of Multiples of a Single Vector
  16.    wt: 2:   19 Signed Multiples of Vectors
  17.    wt: 2:   11 Signed Number Addition and Addition Properties
  18.    wt: 2:   3 Properties of Square Roots with example
  19.    wt: 2:   5 lengths and signs of numbers
  20.    wt: 2:   2 signed and unsigned numbers as coordinates
  21.    wt: 2:   17 Derivatives of quotients of sine and cosine
  22.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  23.    wt: 2:   E2 Algebraic Properties of Limits
  24.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  25.    wt: 1:   2 arithmetic with signed numbers
  26.    wt: 1:   1 arithmetic with unsigned numbers
  27.    wt: 1:   Mathematics Education Professors
  28.    wt: 1:   Theory of Knowledge
  29.    wt: 1:   Different Kinds of Reasoning in maths
  30.    wt: 1:   three kinds of reason in mathematics
  31.    wt: 1:   E Kirchoffs Second Law
  32.    wt: 1:   D Kirchoff First Law
  33.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  34.    wt: 1:   22 Student Centered Highschool Mathematics
  35.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  36.    wt: 1:   8 The Effect of Negative Remarks
  37.    wt: 1:   sign monoticity analysis example 4
  38.    wt: 1:   sign monoticity analysis example 3
  39.    wt: 1:   sign monoticity analysis example 2
  40.    wt: 1:   sign monoticity analysis example 1
  41.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  42.    wt: 1:   8 Set view of relations and functions
  43.    wt: 1:   1 Geometric Introduction of Function Notation
  44.    wt: 1:   4 quadratics difference of two squares
  45.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  46.    wt: 1:   11 arctan left inverse of tangent Graph
  47.    wt: 1:   10 arctan left inverse of tangent Definition
  48.    wt: 1:   8 arcsin left inverse of sine Graph
  49.    wt: 1:   7 arcsin left inverse of sine Definition
  50.    wt: 1:   6 Graph of arccos function
  51.    wt: 1:   3 Left Inverse of cosine arccos definition
  52.    wt: 1:   2 cosine function more properties
  53.    wt: 1:   1 cosine function properties
  54.    wt: 1:   8 Radian Measures of Common Angles
  55.    wt: 1:   2 Radian Measure Numerical Value of one degree
  56.    wt: 1:   2 Signed Coordinates
  57.    wt: 1:   1 Unsigned Coordinates
  58.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  59.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  60.    wt: 1:   Straight Lines Intersection of
  61.    wt: 1:   B Straight Line Slope Scaling Properties More
  62.    wt: 1:   A Straight Line Slope Scaling Properties
  63.    wt: 1:   4 Tangent Function Properties
  64.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  65.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  66.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  67.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  68.    wt: 1:   32 seven rows of pascals triangle
  69.    wt: 1:   30 unit circle calculation of six trigonometric functions
  70.    wt: 1:   28 Expressing products of sines cosines as sums
  71.    wt: 1:   26 Formulas for products of sines and cosines
  72.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  73.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  74.    wt: 1:   18 sum of sinusoidal waves as a single wave
  75.    wt: 1:   17F Law of cosines
  76.    wt: 1:   13 Graph of tangent function many periods
  77.    wt: 1:   12 Graph of tangent function for one period
  78.    wt: 1:   10 Graphs of sines and cosines many periods
  79.    wt: 1:   9 Graphs of sine and cosine over one period
  80.    wt: 1:   8 period of tangent function
  81.    wt: 1:   7 period of sine and cosine
  82.    wt: 1:   Unit Circle Development of Trigonometry
  83.    wt: 1:   20 N th Roots of Complex Numbers
  84.    wt: 1:   19 N th Roots of Unity
  85.    wt: 1:   18 Sixth Roots of Unity
  86.    wt: 1:   17 Cube Roots of unity
  87.    wt: 1:   14 Law of cosines
  88.    wt: 1:   8 Unit Circle Development of Trigonometry
  89.    wt: 1:   4 Multiplication Properties
  90.    wt: 1:   3 Addition Properties
  91.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  92.    wt: 1:   9 Similarity of Triangles Usual Criteria
  93.    wt: 1:   8 Similarity of Triangles and Polygons
  94.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  95.    wt: 1:   3 Similarity by Design with coordinates
  96.    wt: 1:   2 Similarity By Design
  97.    wt: 1:   1 Early Concept of Like or Similar Shapes
  98.    wt: 1:   10 Midpoint of [a b] and [b a]
  99.    wt: 1:   6 Intersection of lines by solving linear systems
  100.    wt: 1:   5 Algebraic View of Slopes
  101.    wt: 1:   1 Numerical view of lines and their equations
  102.    wt: 1:   11 Triangle Inequality
  103.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  104.    wt: 1:   2 Cartesian Coordinates with signs
  105.    wt: 1:   1 Cartesian Coordinates sans signs
  106.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  107.    wt: 1:   17 Right Bisectors of Triangle Sides
  108.    wt: 1:   9 Construction of a right bisector
  109.    wt: 1:   3 Isometry of Triangles Congruence
  110.    wt: 1:   A Signed Number Arithmetic Review
  111.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  112.    wt: 1:   12 Real Numbers Line Signed Coordinates
  113.    wt: 1:   8 Division and Mulplication of Compound Fractions
  114.    wt: 1:   4 Location of Point in Decimal Addition
  115.    wt: 1:   3 Location of Point in Decimal Multiplication
  116.    wt: 1:   1 The Counting Origins of Numbers
  117.    wt: 1:   5 Areas of Rectangles Revisited
  118.    wt: 1:   3 Inequalities Algebraically
  119.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  120.    wt: 1:   5 Equality in Algebra
  121.    wt: 1:   5 Greater More Less Than Signs in General
  122.    wt: 1:   4 Comparison of Negative Numbers
  123.    wt: 1:   3 More and Less Than with Unlike Signs
  124.    wt: 1:   10 Real Number Lengths and Signs
  125.    wt: 1:   6 Unsigned Real Numbers
  126.    wt: 1:   11 Volume of Sphere
  127.    wt: 1:   10 Volume of Pyramid
  128.    wt: 1:   9 Volume of Cone
  129.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  130.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  131.    wt: 1:   8 Sets of Numbers
  132.    wt: 1:   6 Three Notions of What is a Variable
  133.    wt: 1:   4 A Brief Story of numbers and algebra
  134.    wt: 1:   4 Greater More Less Than Signs in General
  135.    wt: 1:   3 Comparison of Negative Numbers
  136.    wt: 1:   2 More and Less Than with Unlike Signs
  137.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  138.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  139.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  140.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  141.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  142.    wt: 1:   4 LCM of 8 and 10 via Prime
  143.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  144.    wt: 1:   10 dividing signed numbers
  145.    wt: 1:   9 subtracting signed numbers
  146.    wt: 1:   8 multiplying signed numbers
  147.    wt: 1:   6 adding signed numbers
  148.    wt: 1:   4 signed coordinates for regions in space
  149.    wt: 1:   3 signed coordinates for maps and planes
  150.    wt: 1:   6 Simplification of Fractions with Units
  151.    wt: 1:   2 Equality and Units
  152.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  153.    wt: 1:   21 Working With Signs
  154.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  155.    wt: 1:   9 Improper Fractions and Mixed Numbers
  156.    wt: 1:   3 Unit fraction of a fraction
  157.    wt: 1:   8 Multiplication by Signed Numbers Integers
  158.    wt: 1:   7 Multiplication by Signs
  159.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  160.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  161.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  162.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  163.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  164.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  165.    wt: 1:   20 Uniqueness of Prime Factorization
  166.    wt: 1:   16 video Factors of 980 using prime
  167.    wt: 1:   15 video Factors of 20 using Prime Factorization
  168.    wt: 1:   14 video Factors of 24 Take II
  169.    wt: 1:   13 video Factors of 24 using prime
  170.    wt: 1:   11 Efficient Square Rule Use
  171.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  172.    wt: 1:   C Counting Areas with Powers of Ten
  173.    wt: 1:   B Powers of Ten
  174.    wt: 1:   8 Subtraction with Units of Measure
  175.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  176.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  177.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  178.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  179.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  180.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  181.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  182.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  183.    wt: 1:   Quick history of numbers and algebra
  184.    wt: 1:   012 Division of Time Intervals by Time Intervals
  185.    wt: 1:   011 Division of Time Intervals By Numbers
  186.    wt: 1:   010 Repeated Addition of Time Intervals
  187.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  188.    wt: 1:   8 Addition of Time Intervals via subtotaling
  189.    wt: 1:   7 Addition of Time Intervals
  190.    wt: 1:   4 Mixing and Changing Units of Time
  191.    wt: 1:   3 Units and Lengths of Time
  192.    wt: 1:   1 Intro of Kids To Time Date Skills
  193.    wt: 1:   Example 2 volume of a cone
  194.    wt: 1:   Example 1 volume of a pyramid
  195.    wt: 1:   Volume of Solid by Cross Sections Lesson
  196.    wt: 1:   Example 4 with x function of y
  197.    wt: 1:   34 Derivative of exponential function
  198.    wt: 1:   31 Derivatives of inverse functions
  199.    wt: 1:   30Chain Rule A Proof
  200.    wt: 1:   28 Chain Rule Preparation for a Proof
  201.    wt: 1:   8 Differentiation of polynomials
  202.    wt: 1:   5 Jumps and absence of unlimited error control
  203.    wt: 1:   4 Numerical properties
  204.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  205.    wt: 1:   G.3 Constant Difference Theorem Proof
  206.    wt: 1:   E1 Error Control Inequalities
  207.    wt: 1:   D2 Limits of Monotone Sequences
  208.    wt: 1:   C Triangle Inequalities
  209.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  210.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  211.    wt: 1:   Chapter 5. Slope Sign Tests
  212.    wt: 1:   Chapter 4. More Slope Sign Analysis
  213.    wt: 1:   Chapter 3. Slope Sign Analysis
  214.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  215.    wt: 1:   Chapter 6 Change of Language
  216.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  217.    wt: 1:   Chapter 4 Longer Chains of Reason
  218.    wt: 1:   Chapter 3 Chains of Reason
  219.    wt: 1:   Chapter 7 Two Treatments of Geometry
  220.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  221.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  222.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  223.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  224.    wt: 1:   Chapter 8 Change of Language
  225.    wt: 1:   Chapter 7 Longer Chains of Reason
  226.    wt: 1:   Chapter 6 Chains of Reason
  227.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  228.    wt: 1:   C. Domino effect of being careful
  229.    wt: 1:   B. Domino effect of errors

Extended Search

285 matches:

  1.    wt: 4:   4 Greater More Less Than Signs in General
  2.    wt: 4:   3 Comparison of Negative Numbers
  3.    wt: 4:   2 More and Less Than with Unlike Signs
  4.    wt: 3:   27 Graduated Correction and Penalties for Young Offenders
  5.    wt: 3:   22 Student Centered Highschool Mathematics
  6.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  7.    wt: 3:   8 The Effect of Negative Remarks
  8.    wt: 3:   27 Logarithmic use of products of sines and cosines
  9.    wt: 3:   1 Proper Equal Sign Usage
  10.    wt: 3:   1 More and Less Than for Counts and Measures
  11.    wt: 3:   5 lengths and signs of numbers
  12.    wt: 3:   2 signed and unsigned numbers as coordinates
  13.    wt: 2:   Home Tutoring and Home Schooling
  14.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  15.    wt: 2:   24 Standards For Skill Develoment Take II
  16.    wt: 2:   24 Standards For Skill Develoment
  17.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  18.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  19.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  20.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  21.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  22.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  23.    wt: 2:   18 Primary School Mathematics
  24.    wt: 2:   17 Math Booklets for children and young teenagers
  25.    wt: 2:   16 Secondary Mathematics Tips
  26.    wt: 2:   15 Counting For Parents
  27.    wt: 2:   14 Multiplication and Times Tables
  28.    wt: 2:   13 Addition and Addition Tables
  29.    wt: 2:   12 Goals and Objectives For Mathematics
  30.    wt: 2:   11 Help and Defend Your Child or Teens Education
  31.    wt: 2:   10 Ends values for work study instruction
  32.    wt: 2:   9 Streaming by Student Cooperation
  33.    wt: 2:   7 Student Motivation
  34.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
  35.    wt: 2:   5 Patience Please for Yourself and Your Charges
  36.    wt: 2:   4 Learning Takes Time and Effort
  37.    wt: 2:   3 Preparing for Science Studies
  38.    wt: 2:   2 Reading and Writing Skills
  39.    wt: 2:   1 Speaking Skills
  40.    wt: 2:   sign monoticity analysis example 4
  41.    wt: 2:   sign monoticity analysis example 3
  42.    wt: 2:   sign monoticity analysis example 2
  43.    wt: 2:   sign monoticity analysis example 1
  44.    wt: 2:   15 Sign analysis of functions
  45.    wt: 2:   2 Algebraic use of function notation
  46.    wt: 2:   8 quadratics backward use of various formulas
  47.    wt: 2:   4 Resultant of a Sum of Movements
  48.    wt: 2:   6 Field Properties of Complex Number
  49.    wt: 2:   5 An Easy Proof of the Distributive Law
  50.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  51.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  52.    wt: 2:   A Measurement with Ruler Proper Use
  53.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  54.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  55.    wt: 2:   22 Multiplication of Signed Numbers
  56.    wt: 2:   21 Addition of Multiples of a Single Vector
  57.    wt: 2:   19 Signed Multiples of Vectors
  58.    wt: 2:   11 Signed Number Addition and Addition Properties
  59.    wt: 2:   1 The Counting Origins of Numbers
  60.    wt: 2:   5 Areas of Rectangles Revisited
  61.    wt: 2:   3 Inequalities Algebraically
  62.    wt: 2:   5 Greater More Less Than Signs in General
  63.    wt: 2:   4 Comparison of Negative Numbers
  64.    wt: 2:   3 More and Less Than with Unlike Signs
  65.    wt: 2:   11 Volume of Sphere
  66.    wt: 2:   10 Volume of Pyramid
  67.    wt: 2:   9 Volume of Cone
  68.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  69.    wt: 2:   3 Properties of Square Roots with example
  70.    wt: 2:   10 dividing signed numbers
  71.    wt: 2:   9 subtracting signed numbers
  72.    wt: 2:   8 multiplying signed numbers
  73.    wt: 2:   6 adding signed numbers
  74.    wt: 2:   4 signed coordinates for regions in space
  75.    wt: 2:   3 signed coordinates for maps and planes
  76.    wt: 2:   17 Derivatives of quotients of sine and cosine
  77.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  78.    wt: 2:   E2 Algebraic Properties of Limits
  79.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  80.    wt: 1:   2 arithmetic with signed numbers
  81.    wt: 1:   1 arithmetic with unsigned numbers
  82.    wt: 1:   Mathematics Education Professors
  83.    wt: 1:   Theory of Knowledge
  84.    wt: 1:   Different Kinds of Reasoning in maths
  85.    wt: 1:   three kinds of reason in mathematics
  86.    wt: 1:   E Kirchoffs Second Law
  87.    wt: 1:   D Kirchoff First Law
  88.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  89.    wt: 1:   8 Set view of relations and functions
  90.    wt: 1:   1 Geometric Introduction of Function Notation
  91.    wt: 1:   4 quadratics difference of two squares
  92.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  93.    wt: 1:   11 arctan left inverse of tangent Graph
  94.    wt: 1:   10 arctan left inverse of tangent Definition
  95.    wt: 1:   8 arcsin left inverse of sine Graph
  96.    wt: 1:   7 arcsin left inverse of sine Definition
  97.    wt: 1:   6 Graph of arccos function
  98.    wt: 1:   3 Left Inverse of cosine arccos definition
  99.    wt: 1:   2 cosine function more properties
  100.    wt: 1:   1 cosine function properties
  101.    wt: 1:   8 Radian Measures of Common Angles
  102.    wt: 1:   2 Radian Measure Numerical Value of one degree
  103.    wt: 1:   2 Signed Coordinates
  104.    wt: 1:   1 Unsigned Coordinates
  105.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  106.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  107.    wt: 1:   Straight Lines Intersection of
  108.    wt: 1:   B Straight Line Slope Scaling Properties More
  109.    wt: 1:   A Straight Line Slope Scaling Properties
  110.    wt: 1:   4 Tangent Function Properties
  111.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  112.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  113.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  114.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  115.    wt: 1:   32 seven rows of pascals triangle
  116.    wt: 1:   30 unit circle calculation of six trigonometric functions
  117.    wt: 1:   28 Expressing products of sines cosines as sums
  118.    wt: 1:   26 Formulas for products of sines and cosines
  119.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  120.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  121.    wt: 1:   18 sum of sinusoidal waves as a single wave
  122.    wt: 1:   17F Law of cosines
  123.    wt: 1:   13 Graph of tangent function many periods
  124.    wt: 1:   12 Graph of tangent function for one period
  125.    wt: 1:   10 Graphs of sines and cosines many periods
  126.    wt: 1:   9 Graphs of sine and cosine over one period
  127.    wt: 1:   8 period of tangent function
  128.    wt: 1:   7 period of sine and cosine
  129.    wt: 1:   Unit Circle Development of Trigonometry
  130.    wt: 1:   20 N th Roots of Complex Numbers
  131.    wt: 1:   19 N th Roots of Unity
  132.    wt: 1:   18 Sixth Roots of Unity
  133.    wt: 1:   17 Cube Roots of unity
  134.    wt: 1:   14 Law of cosines
  135.    wt: 1:   8 Unit Circle Development of Trigonometry
  136.    wt: 1:   4 Multiplication Properties
  137.    wt: 1:   3 Addition Properties
  138.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  139.    wt: 1:   9 Similarity of Triangles Usual Criteria
  140.    wt: 1:   8 Similarity of Triangles and Polygons
  141.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  142.    wt: 1:   3 Similarity by Design with coordinates
  143.    wt: 1:   2 Similarity By Design
  144.    wt: 1:   1 Early Concept of Like or Similar Shapes
  145.    wt: 1:   10 Midpoint of [a b] and [b a]
  146.    wt: 1:   6 Intersection of lines by solving linear systems
  147.    wt: 1:   5 Algebraic View of Slopes
  148.    wt: 1:   1 Numerical view of lines and their equations
  149.    wt: 1:   11 Triangle Inequality
  150.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  151.    wt: 1:   2 Cartesian Coordinates with signs
  152.    wt: 1:   1 Cartesian Coordinates sans signs
  153.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  154.    wt: 1:   17 Right Bisectors of Triangle Sides
  155.    wt: 1:   9 Construction of a right bisector
  156.    wt: 1:   3 Isometry of Triangles Congruence
  157.    wt: 1:   A Signed Number Arithmetic Review
  158.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  159.    wt: 1:   12 Real Numbers Line Signed Coordinates
  160.    wt: 1:   8 Division and Mulplication of Compound Fractions
  161.    wt: 1:   4 Location of Point in Decimal Addition
  162.    wt: 1:   3 Location of Point in Decimal Multiplication
  163.    wt: 1:   E Long Division Methods more
  164.    wt: 1:   D Long Division Methods
  165.    wt: 1:   C Three Decimal Subtraction Methods
  166.    wt: 1:   B Decimal Comparison and Subtraction
  167.    wt: 1:   A Decimal Addition Columm Methods
  168.    wt: 1:   8 Column Multiplication Methods in General
  169.    wt: 1:   7 Decimals Multiplication Methods Examples
  170.    wt: 1:   6 Column Methods for Decimal Multiplication
  171.    wt: 1:   5 Distributive Law for Whole Numbers
  172.    wt: 1:   4 Commutative Law Groups Counting Form
  173.    wt: 1:   3 Multiplicative Counting Skills Principles
  174.    wt: 1:   2 Combing Counts Addition Skills and Principles
  175.    wt: 1:   4 Fraction Operations Axiomatic Development
  176.    wt: 1:   2 Fraction Operations Physical Development
  177.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  178.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  179.    wt: 1:   5 Equality in Algebra
  180.    wt: 1:   2 More and Less Than for Counts and Measures
  181.    wt: 1:   1 Real Numbers Comparison
  182.    wt: 1:   10 Real Number Lengths and Signs
  183.    wt: 1:   6 Unsigned Real Numbers
  184.    wt: 1:   13 Naming Identifying Formulas with Words
  185.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  186.    wt: 1:   8 Compound Interest Formula Evaluation
  187.    wt: 1:   7 Compound Interest Formula Introduction
  188.    wt: 1:   5 Box Volume Formula Example
  189.    wt: 1:   4 Circle Area Formula Example
  190.    wt: 1:   3 Triangle Area Formula Example
  191.    wt: 1:   2 Another Rectangle Area Formula Example
  192.    wt: 1:   1 Written work formats for developing and showing skill
  193.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  194.    wt: 1:   8 Sets of Numbers
  195.    wt: 1:   6 Three Notions of What is a Variable
  196.    wt: 1:   4 A Brief Story of numbers and algebra
  197.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  198.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  199.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  200.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  201.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  202.    wt: 1:   4 LCM of 8 and 10 via Prime
  203.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  204.    wt: 1:   11 What are real lengths and numbers
  205.    wt: 1:   7 negative and additive inverse
  206.    wt: 1:   6 Simplification of Fractions with Units
  207.    wt: 1:   2 Equality and Units
  208.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  209.    wt: 1:   21 Working With Signs
  210.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  211.    wt: 1:   9 Improper Fractions and Mixed Numbers
  212.    wt: 1:   3 Unit fraction of a fraction
  213.    wt: 1:   8 Multiplication by Signed Numbers Integers
  214.    wt: 1:   7 Multiplication by Signs
  215.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  216.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  217.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  218.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  219.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  220.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  221.    wt: 1:   20 Uniqueness of Prime Factorization
  222.    wt: 1:   16 video Factors of 980 using prime
  223.    wt: 1:   15 video Factors of 20 using Prime Factorization
  224.    wt: 1:   14 video Factors of 24 Take II
  225.    wt: 1:   13 video Factors of 24 using prime
  226.    wt: 1:   11 Efficient Square Rule Use
  227.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  228.    wt: 1:   C Counting Areas with Powers of Ten
  229.    wt: 1:   B Powers of Ten
  230.    wt: 1:   8 Subtraction with Units of Measure
  231.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  232.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  233.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  234.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  235.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  236.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  237.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  238.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  239.    wt: 1:   Quick history of numbers and algebra
  240.    wt: 1:   012 Division of Time Intervals by Time Intervals
  241.    wt: 1:   011 Division of Time Intervals By Numbers
  242.    wt: 1:   010 Repeated Addition of Time Intervals
  243.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  244.    wt: 1:   8 Addition of Time Intervals via subtotaling
  245.    wt: 1:   7 Addition of Time Intervals
  246.    wt: 1:   4 Mixing and Changing Units of Time
  247.    wt: 1:   3 Units and Lengths of Time
  248.    wt: 1:   1 Intro of Kids To Time Date Skills
  249.    wt: 1:   Example 2 volume of a cone
  250.    wt: 1:   Example 1 volume of a pyramid
  251.    wt: 1:   Volume of Solid by Cross Sections Lesson
  252.    wt: 1:   Example 4 with x function of y
  253.    wt: 1:   34 Derivative of exponential function
  254.    wt: 1:   31 Derivatives of inverse functions
  255.    wt: 1:   30Chain Rule A Proof
  256.    wt: 1:   28 Chain Rule Preparation for a Proof
  257.    wt: 1:   8 Differentiation of polynomials
  258.    wt: 1:   5 Jumps and absence of unlimited error control
  259.    wt: 1:   4 Numerical properties
  260.    wt: 1:   .H1 First Fundamental Theorem of Calculus
  261.    wt: 1:   G.3 Constant Difference Theorem Proof
  262.    wt: 1:   E1 Error Control Inequalities
  263.    wt: 1:   D2 Limits of Monotone Sequences
  264.    wt: 1:   C Triangle Inequalities
  265.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  266.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  267.    wt: 1:   Chapter 5. Slope Sign Tests
  268.    wt: 1:   Chapter 4. More Slope Sign Analysis
  269.    wt: 1:   Chapter 3. Slope Sign Analysis
  270.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  271.    wt: 1:   Chapter 6 Change of Language
  272.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  273.    wt: 1:   Chapter 4 Longer Chains of Reason
  274.    wt: 1:   Chapter 3 Chains of Reason
  275.    wt: 1:   Chapter 7 Two Treatments of Geometry
  276.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  277.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  278.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  279.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  280.    wt: 1:   Chapter 8 Change of Language
  281.    wt: 1:   Chapter 7 Longer Chains of Reason
  282.    wt: 1:   Chapter 6 Chains of Reason
  283.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  284.    wt: 1:   C. Domino effect of being careful
  285.    wt: 1:   B. Domino effect of errors

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