Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school. See Site Map

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 12+: 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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential 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.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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52 matches:

  1.    wt: 3:   14 Degrees to Radians and Radians to Degrees/
  2.    wt: 2:   Parent Center/
  3.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  4.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  5.    wt: 2:   13 Vectors/
  6.    wt: 2:   3 Cartesian and Polar Coordinates/
  7.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  8.    wt: 2:   9 Proportionality Backwards and Forwards/
  9.    wt: 2:   Step 3 Easy systems in 2 or more unknowns/
  10.    wt: 2:   2 Formula Forward Use Evaluation/
  11.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  12.    wt: 2:   9 Combinatorics Trees Tables and Products/
  13.    wt: 2:   3 Prime Factorization Skills/
  14.    wt: 1:   4 Functions/
  15.    wt: 1:   3 Quadratics Geometrically/
  16.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  17.    wt: 1:   1 Five Polynomial Operations/
  18.    wt: 1:   More Algebra/
  19.    wt: 1:   12 Function Translating and Rescaling/
  20.    wt: 1:   11 Parallel Straight Lines and Transversals/
  21.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  22.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  23.    wt: 1:   8 Unit Circle Trigonometry/
  24.    wt: 1:   7 Complex Numbers/
  25.    wt: 1:   6 Trigonometry first steps/
  26.    wt: 1:   5 What is Similarity/
  27.    wt: 1:   4 Lines and Slopes Take 1/
  28.    wt: 1:   1 Maps Plans Measurement/
  29.    wt: 1:   Geometry maps plans trigonometry vectors/
  30.    wt: 1:   A Origins of Counting and Figuring Methods/
  31.    wt: 1:   8 Unifying Theme For Algebra/
  32.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  33.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  34.    wt: 1:   1 Working With Sets/
  35.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  36.    wt: 1:   11 Squares and Square Roots/
  37.    wt: 1:   8 Arithmetic with Signed Numbers/
  38.    wt: 1:   7 Arithmetic and Fractions with Units/
  39.    wt: 1:   6 Fractions and Ratios/
  40.    wt: 1:   5 Integers/
  41.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  42.    wt: 1:   D Decimal Long Division Methods/
  43.    wt: 1:   C Decimal Multiplication Methods/
  44.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  45.    wt: 1:   A Decimal Counting and Adding Methods/
  46.    wt: 1:   2 Arithmetic with Decimals/
  47.    wt: 1:   1 Decimal Place Value/
  48.    wt: 1:   Arithmetic and Number Theory Skills/
  49.    wt: 1:   Volume 2 Three Skills For Algebra/
  50.    wt: 1:   Work and Study Tips/
  51.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  52.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

456 matches:

  1.    wt: 4:   11 Help and Defend Your Child or Teens Education
  2.    wt: 4:   8 Notes for instructors or tutors
  3.    wt: 3:   04 25 when to stop or suspend mathemat
  4.    wt: 3:   formal or informal peer review
  5.    wt: 3:   words for mathematics instructor
  6.    wt: 3:   17 Math Booklets for children and young teenagers
  7.    wt: 3:   5 Patience Please for Yourself and Your Charges
  8.    wt: 3:   13 From one to one to many to one
  9.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  10.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  11.    wt: 3:   Formula Usage Show Work Format
  12.    wt: 3:   1 Written work formats for developing and showing skill
  13.    wt: 3:   Formula Evaluation how to show work
  14.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  15.    wt: 3:   G. Written work formats for developing and showing skill
  16.    wt: 3:   E. When and how to correct errors
  17.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  18.    wt: 2:   three goals to set for students
  19.    wt: 2:   grouping students according to ability
  20.    wt: 2:   talk the algebra talk
  21.    wt: 2:   02 21 words for teachers
  22.    wt: 2:   Four ways to improve education reform
  23.    wt: 2:   How to be a better instructor
  24.    wt: 2:   Prequel In For A Penny In For A Pound
  25.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  26.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  27.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  28.    wt: 2:   10 Ends values for work study instruction
  29.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  30.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  31.    wt: 2:   9 Set theory term relation possible origins
  32.    wt: 2:   5 Function notation for geometric transformations
  33.    wt: 2:   3 Formula or function graphing exercise
  34.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  35.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  36.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  37.    wt: 2:   6 Formulas for Even and Odd Roots with Logarithms
  38.    wt: 2:   3 Circle Arclengh Proportional to Central Angle
  39.    wt: 2:   9 Head to Tail Coordinate View
  40.    wt: 2:   6 Vectors with Coordinates
  41.    wt: 2:   3 Navigation with Arrows or Vectors
  42.    wt: 2:   Analytic View of Triangle Construction or Line Instersection More
  43.    wt: 2:   10 Straight Lines through Origin Equations More
  44.    wt: 2:   26 Formulas for products of sines and cosines
  45.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  46.    wt: 2:   17G Pythagorean Theorem Converse
  47.    wt: 2:   17E Trig Formulas for dot and cross Products
  48.    wt: 2:   17D cis formulas for sine cosines and tangent
  49.    wt: 2:   15 Pythagorean Theorem Converse
  50.    wt: 2:   13 Trig Formulas for dot and cross Products
  51.    wt: 2:   12 cis formulas for sine cosines and tangent
  52.    wt: 2:   4 Equations for lines three forms
  53.    wt: 2:   13 Pythagorean spatial distance formulas
  54.    wt: 2:   10 Pythagorean plane distance formula
  55.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  56.    wt: 2:   4 Polar Coordinates to and from
  57.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  58.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  59.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  60.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  61.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  62.    wt: 2:   9 Circle Area and Perimeter Formula Backwards Forwards
  63.    wt: 2:   8 Pythagorean Relation Forwards Backwards
  64.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  65.    wt: 2:   2 More and Less Than for Counts and Measures
  66.    wt: 2:   9 Coordinates for Regions in Space
  67.    wt: 2:   8 Coordinates for Maps and Planes
  68.    wt: 2:   13 Naming Identifying Formulas with Words
  69.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  70.    wt: 2:   3 Adding Words To Arithmetic
  71.    wt: 2:   1 More and Less Than for Counts and Measures
  72.    wt: 2:   4 signed coordinates for regions in space
  73.    wt: 2:   3 signed coordinates for maps and planes
  74.    wt: 2:   18 video Count Factors given Prime Factorization
  75.    wt: 2:   15 video Factors of 20 using Prime Factorization
  76.    wt: 2:   10 video Prime Factorization upto 23 squared
  77.    wt: 2:   9 video Prime Factorization upto 19 squared
  78.    wt: 2:   8 video Prime Factorization upto 19
  79.    wt: 2:   6 Multiplication Commutes Order Not Important
  80.    wt: 2:   8 What skills and work habits to require
  81.    wt: 2:   Expression Evaluation how to show work
  82.    wt: 2:   38 Formulas and derivatives for powers and roots
  83.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  84.    wt: 2:   Foreword
  85.    wt: 2:   Postscript More on Better Performance
  86.    wt: 2:   Postscript For Better Performance
  87.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  88.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  89.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  90.    wt: 2:   Chapter 1 Introduction to Chapters 2 to 6
  91.    wt: 2:   Foreword
  92.    wt: 2:   Foreword
  93.    wt: 2:   Postscript C Consistency as a Tool for Reason
  94.    wt: 2:   Postscript B More on Story Telling and Reason
  95.    wt: 2:   Foreword
  96.    wt: 2:   S Adding words to algebra
  97.    wt: 2:   M Words to extend arithmetic
  98.    wt: 2:   J. More on written work and showing skill
  99.    wt: 2:   H more Routine to non routine problem solving
  100.    wt: 2:   A. Skill has to be seen to believed
  101.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  102.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  103.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  104.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
  105.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  106.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  107.    wt: 1:   J LAMP Introduction Extrinsic Origins
  108.    wt: 1:   Ramblings Extrinsic numbers theory
  109.    wt: 1:   9 combinatorics probability sets
  110.    wt: 1:   which way to go
  111.    wt: 1:   permissions for teachers
  112.    wt: 1:   Math Ed if it must be short make it lean effective
  113.    wt: 1:   activities for students
  114.    wt: 1:   site origins
  115.    wt: 1:   Mathematics Education Professors
  116.    wt: 1:   Education Reform Inconsistencies
  117.    wt: 1:   What to Tell Students
  118.    wt: 1:   geometric implications for algebra
  119.    wt: 1:   teaching tutoring algebraic reason
  120.    wt: 1:   three goals for Mathematics Education
  121.    wt: 1:   05 13 OldSiteEntrancePage
  122.    wt: 1:   three aims for mathematics students
  123.    wt: 1:   standards for course material
  124.    wt: 1:   Operational Viewpoint to Value
  125.    wt: 1:   Theory of Knowledge
  126.    wt: 1:   need for a mixed mathematics curriculum
  127.    wt: 1:   fairness and inductive principles for instruction
  128.    wt: 1:   3 Like resistors in parallel
  129.    wt: 1:   2 Unlike resistors in parallel01
  130.    wt: 1:   1 Like resistors in series
  131.    wt: 1:   F Unlike Resistors in Series
  132.    wt: 1:   C Electromotive force conventional current02
  133.    wt: 1:   B Electromotive force conventional current01
  134.    wt: 1:   Home Tutoring and Home Schooling
  135.    wt: 1:   24 Standards For Skill Develoment Take II
  136.    wt: 1:   24 Standards For Skill Develoment
  137.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take IV
  138.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take III
  139.    wt: 1:   23 Modularized Skill Development Modularized Rigor Take II
  140.    wt: 1:   23 Modularized Skill Development Modularized Rigor
  141.    wt: 1:   22 Student Centered Highschool Mathematics
  142.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  143.    wt: 1:   15 Counting For Parents
  144.    wt: 1:   12 Goals and Objectives For Mathematics
  145.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  146.    wt: 1:   4 Learning Takes Time and Effort
  147.    wt: 1:   3 Preparing for Science Studies
  148.    wt: 1:   Ages 12 to 14 Skills with take home value
  149.    wt: 1:   Ages 12 to 14 Geometry
  150.    wt: 1:   Ages 12 to 14 Arithmetic
  151.    wt: 1:   Ages 10 to 12 Geometry
  152.    wt: 1:   Ages 10 to 12 Arithmetic
  153.    wt: 1:   Ages 9 to 10
  154.    wt: 1:   Ages 8 to 9
  155.    wt: 1:   Ages 7 to 8
  156.    wt: 1:   Ages 6 to 7
  157.    wt: 1:   Ages 4 plus to 5 plus
  158.    wt: 1:   Ages 3 plus to 4 plus
  159.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  160.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  161.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  162.    wt: 1:   20 Interchanging coordinates a reflection
  163.    wt: 1:   19 Horizontal line rule and method
  164.    wt: 1:   16 Increasing or decreasing on intervals
  165.    wt: 1:   6 Set Existence Formation and Notation
  166.    wt: 1:   8 quadratics backward use of various formulas
  167.    wt: 1:   7 quadratic formulla derivation
  168.    wt: 1:   3 quadratics factoring by inspection
  169.    wt: 1:   5 Natural Logarithm Calculator Exercises
  170.    wt: 1:   1 Calculator Starter Exercises
  171.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  172.    wt: 1:   4 Polynomials Long division linear divisor
  173.    wt: 1:   12 motivation for term arctan
  174.    wt: 1:   9 motivation for name arcsin
  175.    wt: 1:   5 Swapping Coordinates is a reflection
  176.    wt: 1:   4 possible motivation for term arccos
  177.    wt: 1:   2 cosine function more properties
  178.    wt: 1:   9 Summary Degrees to Radians and back
  179.    wt: 1:   6 Radian Measure to Degrees
  180.    wt: 1:   5 Degrees to Radian Measure
  181.    wt: 1:   13 Velocity Vectors in Physics
  182.    wt: 1:   12 From Applied To Pure Mathematics
  183.    wt: 1:   8 Parallel Vectors
  184.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  185.    wt: 1:   5 Head To Tail Arrow Addition
  186.    wt: 1:   2 Signed Coordinates
  187.    wt: 1:   1 Unsigned Coordinates
  188.    wt: 1:   Vector and Complex Number Applet
  189.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  190.    wt: 1:   Triangle Angles Sum To 180 Degrees
  191.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  192.    wt: 1:   Parallel Lines and Interior Angles
  193.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  194.    wt: 1:   Straight Lines ASA Intersection Study More
  195.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  196.    wt: 1:   C Straight Lines Slope from Coordinates
  197.    wt: 1:   B Straight Line Slope Scaling Properties More
  198.    wt: 1:   9 Straight Lines through Origin Equations
  199.    wt: 1:   8 Straight Lines Equation for vertical
  200.    wt: 1:   17 tangent function angle sum formulas
  201.    wt: 1:   29 secant cosecant and cotangent for acute angles
  202.    wt: 1:   25 tangent double angle formula Slope connection
  203.    wt: 1:   24 tangent Angle Difference Formula
  204.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  205.    wt: 1:   21 sine and cosine Half Angle Formulas
  206.    wt: 1:   20 sine and cosine Double Angle Formulas
  207.    wt: 1:   17C sine and cosine double triple angle formulas
  208.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  209.    wt: 1:   12 Graph of tangent function for one period
  210.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  211.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  212.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  213.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  214.    wt: 1:   16 References and Originality Question
  215.    wt: 1:   11 sine and cosine double triple angle formulas
  216.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  217.    wt: 1:   7 Second Way to Calculate Products
  218.    wt: 1:   1 Rectangular Polar Coordinates Review
  219.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  220.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  221.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  222.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  223.    wt: 1:   12 Triangles Similarity More Problems
  224.    wt: 1:   4 Similarity Definition with Coordinate
  225.    wt: 1:   3 Similarity by Design with coordinates
  226.    wt: 1:   1 Early Concept of Like or Similar Shapes
  227.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  228.    wt: 1:   8 Mid Point Formula
  229.    wt: 1:   7 Exercises to test skill and concept mastery
  230.    wt: 1:   3 Slope product for perpendicular lines
  231.    wt: 1:   2 point slope equation for a line
  232.    wt: 1:   12 Spatial Coordinates
  233.    wt: 1:   3 Rectangular Coordinates Review
  234.    wt: 1:   2 Cartesian Coordinates with signs
  235.    wt: 1:   1 Cartesian Coordinates sans signs
  236.    wt: 1:   PS H Distributive Law For Complex Numbers
  237.    wt: 1:   PS E Multiplication with Polar Coordinates
  238.    wt: 1:   PS D Addition with Cartesian Coordinates
  239.    wt: 1:   17 Right Bisectors of Triangle Sides
  240.    wt: 1:   16 Angles Subtended By Chords and Diameters
  241.    wt: 1:   10 Dropping a perpendicular to line
  242.    wt: 1:   9 Construction of a right bisector
  243.    wt: 1:   2 Correspondence between Triangles
  244.    wt: 1:   Short Course on Euclidean Geometry
  245.    wt: 1:   6 Figuring with Maps Not to Scale
  246.    wt: 1:   4 Angles on Maps Plans drawn to scale
  247.    wt: 1:   26 More Less Greater Than Comparison
  248.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  249.    wt: 1:   21 Addition of Multiples of a Single Vector
  250.    wt: 1:   19 Signed Multiples of Vectors
  251.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  252.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  253.    wt: 1:   15 Head to Tails in place Addition Associative
  254.    wt: 1:   13 Arrows and Vectors in a Plane
  255.    wt: 1:   12 Real Numbers Line Signed Coordinates
  256.    wt: 1:   E Long Division Methods more
  257.    wt: 1:   6 Column Methods for Decimal Multiplication
  258.    wt: 1:   5 Distributive Law for Whole Numbers
  259.    wt: 1:   4 Commutative Law Groups Counting Form
  260.    wt: 1:   1 The Counting Origins of Numbers
  261.    wt: 1:   5 Proportionality in Equivalent Fractions
  262.    wt: 1:   4 Rates Ratios and Proporitionality
  263.    wt: 1:   3 Proportionality Examples
  264.    wt: 1:   1 What is Proportionality
  265.    wt: 1:   6 Compound Interest Forward and Backwards
  266.    wt: 1:   5 Triangle Area Formula Backwards
  267.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  268.    wt: 1:   3 Linear Equation Literal Solution More
  269.    wt: 1:   6 Equations and Systems Equivalent or Implied
  270.    wt: 1:   3 Product Axioms Two Forms
  271.    wt: 1:   5 Greater More Less Than Signs in General
  272.    wt: 1:   3 More and Less Than with Unlike Signs
  273.    wt: 1:   12 Real Number Additive Inverses or Negatives
  274.    wt: 1:   7 Real Numbers as Line Cordinates
  275.    wt: 1:   5 Rational Numbers More
  276.    wt: 1:   3 Geometric Formulas and Function Notation
  277.    wt: 1:   1 Formulas Dependence and Function Notation
  278.    wt: 1:   More Exercises
  279.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  280.    wt: 1:   Using Letters for Physical Quantities
  281.    wt: 1:   8 Compound Interest Formula Evaluation
  282.    wt: 1:   7 Compound Interest Formula Introduction
  283.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  284.    wt: 1:   5 Box Volume Formula Example
  285.    wt: 1:   4 Circle Area Formula Example
  286.    wt: 1:   3 Triangle Area Formula Example
  287.    wt: 1:   2 Another Rectangle Area Formula Example
  288.    wt: 1:   7 Cautious or Safe Set Construction
  289.    wt: 1:   5 Talking about Numbers and Quantities
  290.    wt: 1:   4 A Brief Story of numbers and algebra
  291.    wt: 1:   1 Three Skills For Algebra
  292.    wt: 1:   arithmetic videos Real Player Format
  293.    wt: 1:   4 Greater More Less Than Signs in General
  294.    wt: 1:   2 More and Less Than with Unlike Signs
  295.    wt: 1:   5 Square Roots with primes more still
  296.    wt: 1:   4 Square Roots with primes more
  297.    wt: 1:   13 GCD from given Prime Factorization
  298.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  299.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  300.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  301.    wt: 1:   8 GCD from Euclidean Algorithm
  302.    wt: 1:   7 GCD and LCM from prime factorization
  303.    wt: 1:   5 Common Divisors 60 45 via Prime
  304.    wt: 1:   2 signed and unsigned numbers as coordinates
  305.    wt: 1:   7 Converting or Changing Units
  306.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  307.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  308.    wt: 1:   21 Working With Signs
  309.    wt: 1:   21 Reciprocals for Fractions and Wholes
  310.    wt: 1:   19 Dividing Fractions How TO
  311.    wt: 1:   18 Efficient Ways to Multiply
  312.    wt: 1:   17 Efficient Ways to Add and Subtract
  313.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  314.    wt: 1:   14 Adding and Subtracting with Like Denominators
  315.    wt: 1:   A Associative Law Theorectical Note
  316.    wt: 1:   12 Adding Integers More Examples
  317.    wt: 1:   11 Adding Integers Formulas and Examples
  318.    wt: 1:   10 Integer Multiplication Formulas
  319.    wt: 1:   1 Integers as Coordinates
  320.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  321.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  322.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  323.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  324.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  325.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  326.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  327.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  328.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  329.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  330.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  331.    wt: 1:   20 Uniqueness of Prime Factorization
  332.    wt: 1:   19 video Prime Factorization Unique
  333.    wt: 1:   17 Identify and Count Factors using Primes
  334.    wt: 1:   16 video Factors of 980 using prime
  335.    wt: 1:   14 video Factors of 24 Take II
  336.    wt: 1:   13 video Factors of 24 using prime
  337.    wt: 1:   7 Calculator Usage Notes and Cautions
  338.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  339.    wt: 1:   5 Prime Factorization and a Square Rule
  340.    wt: 1:   4 video Prime Factorization Introduction
  341.    wt: 1:   1 video how Products are bigger than factor
  342.    wt: 1:   Long Division Backwards more
  343.    wt: 1:   Long Division forwards and backwards Example 3
  344.    wt: 1:   Long Division forwards and backwards Example 2
  345.    wt: 1:   Long Division forwards and backwards Example 1
  346.    wt: 1:   12 Why Long Division Works Take III
  347.    wt: 1:   11 Another Single Digit Divisor Example
  348.    wt: 1:   10 Division by Five Long and Short Ways
  349.    wt: 1:   9 Why Long Division Works Take II
  350.    wt: 1:   8 Correcting the Mistake
  351.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  352.    wt: 1:   5 Long Division Include Zeroes or not
  353.    wt: 1:   4 Division with 2 Digit Divsors
  354.    wt: 1:   3 Division Single Digit Divisor Example
  355.    wt: 1:   2 Division with Single Digit Divisors
  356.    wt: 1:   A Elementary Basis for Multiplication Methods
  357.    wt: 1:   3 More One Digit Multipliers
  358.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  359.    wt: 1:   5 A Tip for Efficent Subtraction
  360.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  361.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  362.    wt: 1:   5. How to add decimals C. Examples
  363.    wt: 1:   4. How to add with decimals B with conversions
  364.    wt: 1:   3. How to add with decimals A sans conversions
  365.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  366.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  367.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  368.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  369.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  370.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  371.    wt: 1:   Quick history of numbers and algebra
  372.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  373.    wt: 1:   015 School and work day counting tables
  374.    wt: 1:   8 Addition of Time Intervals via subtotaling
  375.    wt: 1:   1 Intro of Kids To Time Date Skills
  376.    wt: 1:   28 Chain Rule Preparation for a Proof
  377.    wt: 1:   22 Chain Rule for polynomials
  378.    wt: 1:   21 Chain Rule for powers
  379.    wt: 1:   20 Chain Rule for Pulley Systems
  380.    wt: 1:   19 Chain Rule for linear functions
  381.    wt: 1:   10 Power rule for negative integers
  382.    wt: 1:   3 Motivation for Limit Definition Take 2
  383.    wt: 1:   2 Motivation for Limit Definition Take 1
  384.    wt: 1:   7 Evaluation by immediate or delayed substitution
  385.    wt: 1:   5 Jumps and absence of unlimited error control
  386.    wt: 1:   3 Decimal insights for limits continuity convergence
  387.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  388.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  389.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  390.    wt: 1:   G.3 Constant Difference Theorem Proof
  391.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  392.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  393.    wt: 1:   F.5b Extreme Value Theorem
  394.    wt: 1:   F.5a Equicontinuity Theorems
  395.    wt: 1:   F.4 Finite Covering Theorem
  396.    wt: 1:   F.3 Intermediate Value Theorem
  397.    wt: 1:   F.2 Closed Range Theorem
  398.    wt: 1:   E1 Error Control Inequalities
  399.    wt: 1:   D2 Limits of Monotone Sequences
  400.    wt: 1:   B3 Bolzano Weierstrass Theorem
  401.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  402.    wt: 1:   PostScript For and Against Decimal Perspectives
  403.    wt: 1:   Chapter 23 Links To Trigonometry
  404.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  405.    wt: 1:   Chapter 4. More Slope Sign Analysis
  406.    wt: 1:   Appendix E. How To Study Mathematics and Why
  407.    wt: 1:   Appendix D. What to do in School and Why
  408.    wt: 1:   Appendix C. How to Read
  409.    wt: 1:   Appendix B. How To Learn
  410.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  411.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  412.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  413.    wt: 1:   Chapter 23. Notation For Sums
  414.    wt: 1:   Chapter 18. Rules for Algebra
  415.    wt: 1:   Chapter 16. Painless Theorem Proving
  416.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  417.    wt: 1:   Chapter 12. Shorthand Usage Guide
  418.    wt: 1:   Chapter 11. Why Shorthand
  419.    wt: 1:   Chapter 8 Three Skills For Algebra
  420.    wt: 1:   Solutions For Arithmetic Exercises
  421.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  422.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  423.    wt: 1:   Annotated Links to Material Elsehwere
  424.    wt: 1:   Chapter 2 For and Against Mathematics
  425.    wt: 1:   Postscript A Story Telling
  426.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  427.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  428.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  429.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  430.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  431.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  432.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  433.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  434.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  435.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  436.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  437.    wt: 1:   N Mathematics Prepare for College Studies
  438.    wt: 1:   F. The student teacher tutor feedback loop
  439.    wt: 1:   D. Check work a must with a caution
  440.    wt: 1:   B. Domino effect of errors
  441.    wt: 1:   How to Build Skills and Confidence
  442.    wt: 1:   Chapter 8 Skipped Topics and Why
  443.    wt: 1:   Chapter 6 More Algebra and Geometry
  444.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  445.    wt: 1:   7 Games and Activities for Instruction
  446.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  447.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  448.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  449.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  450.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  451.    wt: 1:   More Algebra and Slope based Calculus Preview
  452.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  453.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  454.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  455.    wt: 1:   Which Way To Go
  456.    wt: 1:   The Math Forum and Site Content

Extended Search

833 matches:

  1.    wt: 6:   11 Help and Defend Your Child or Teens Education
  2.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  3.    wt: 5:   17 Math Booklets for children and young teenagers
  4.    wt: 5:   5 Patience Please for Yourself and Your Charges
  5.    wt: 5:   8 Notes for instructors or tutors
  6.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  7.    wt: 5:   1 Written work formats for developing and showing skill
  8.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  9.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  10.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  11.    wt: 4:   10 Ends values for work study instruction
  12.    wt: 4:   13 From one to one to many to one
  13.    wt: 4:   9 Summary Degrees to Radians and back
  14.    wt: 4:   6 Radian Measure to Degrees
  15.    wt: 4:   5 Degrees to Radian Measure
  16.    wt: 4:   9 Head to Tail Coordinate View
  17.    wt: 4:   6 Vectors with Coordinates
  18.    wt: 4:   3 Navigation with Arrows or Vectors
  19.    wt: 4:   SAS Method For Isometric Or Proportional Triangle Construction
  20.    wt: 4:   13 Pythagorean spatial distance formulas
  21.    wt: 4:   10 Pythagorean plane distance formula
  22.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  23.    wt: 4:   4 Polar Coordinates to and from
  24.    wt: 4:   13 Naming Identifying Formulas with Words
  25.    wt: 4:   18 video Count Factors given Prime Factorization
  26.    wt: 4:   15 video Factors of 20 using Prime Factorization
  27.    wt: 4:   10 video Prime Factorization upto 23 squared
  28.    wt: 4:   9 video Prime Factorization upto 19 squared
  29.    wt: 4:   8 video Prime Factorization upto 19
  30.    wt: 4:   Formula Evaluation how to show work
  31.    wt: 4:   G. Written work formats for developing and showing skill
  32.    wt: 4:   E. When and how to correct errors
  33.    wt: 4:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  34.    wt: 3:   04 25 when to stop or suspend mathemat
  35.    wt: 3:   formal or informal peer review
  36.    wt: 3:   words for mathematics instructor
  37.    wt: 3:   Home Tutoring and Home Schooling
  38.    wt: 3:   24 Standards For Skill Develoment Take II
  39.    wt: 3:   24 Standards For Skill Develoment
  40.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  41.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  42.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  43.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  44.    wt: 3:   22 Student Centered Highschool Mathematics
  45.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  46.    wt: 3:   15 Counting For Parents
  47.    wt: 3:   12 Goals and Objectives For Mathematics
  48.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
  49.    wt: 3:   4 Learning Takes Time and Effort
  50.    wt: 3:   3 Preparing for Science Studies
  51.    wt: 3:   9 Set theory term relation possible origins
  52.    wt: 3:   5 Function notation for geometric transformations
  53.    wt: 3:   3 Formula or function graphing exercise
  54.    wt: 3:   9 Formulas for Real Exponents with Logarithms
  55.    wt: 3:   8 Formulas for Fractional Exponents with Logarithms
  56.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
  57.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  58.    wt: 3:   12 motivation for term arctan
  59.    wt: 3:   9 motivation for name arcsin
  60.    wt: 3:   5 Swapping Coordinates is a reflection
  61.    wt: 3:   4 possible motivation for term arccos
  62.    wt: 3:   2 cosine function more properties
  63.    wt: 3:   8 Radian Measures of Common Angles
  64.    wt: 3:   7 Radian Measures in special Triangles
  65.    wt: 3:   2 Radian Measure Numerical Value of one degree
  66.    wt: 3:   1 Degrees and Radians Introduction
  67.    wt: 3:   13 Velocity Vectors in Physics
  68.    wt: 3:   12 From Applied To Pure Mathematics
  69.    wt: 3:   8 Parallel Vectors
  70.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  71.    wt: 3:   5 Head To Tail Arrow Addition
  72.    wt: 3:   2 Signed Coordinates
  73.    wt: 3:   1 Unsigned Coordinates
  74.    wt: 3:   Vector and Complex Number Applet
  75.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  76.    wt: 3:   10 Straight Lines through Origin Equations More
  77.    wt: 3:   26 Formulas for products of sines and cosines
  78.    wt: 3:   19 Pythagorean Identity For sine and cosine functions
  79.    wt: 3:   17G Pythagorean Theorem Converse
  80.    wt: 3:   17E Trig Formulas for dot and cross Products
  81.    wt: 3:   17D cis formulas for sine cosines and tangent
  82.    wt: 3:   15 Pythagorean Theorem Converse
  83.    wt: 3:   13 Trig Formulas for dot and cross Products
  84.    wt: 3:   12 cis formulas for sine cosines and tangent
  85.    wt: 3:   4 Equations for lines three forms
  86.    wt: 3:   12 Spatial Coordinates
  87.    wt: 3:   3 Rectangular Coordinates Review
  88.    wt: 3:   2 Cartesian Coordinates with signs
  89.    wt: 3:   1 Cartesian Coordinates sans signs
  90.    wt: 3:   PS H Distributive Law For Complex Numbers
  91.    wt: 3:   PS E Multiplication with Polar Coordinates
  92.    wt: 3:   PS D Addition with Cartesian Coordinates
  93.    wt: 3:   17 Right Bisectors of Triangle Sides
  94.    wt: 3:   16 Angles Subtended By Chords and Diameters
  95.    wt: 3:   10 Dropping a perpendicular to line
  96.    wt: 3:   9 Construction of a right bisector
  97.    wt: 3:   2 Correspondence between Triangles
  98.    wt: 3:   Short Course on Euclidean Geometry
  99.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  100.    wt: 3:   5 Drawing to Scale Avoids Angle Distortions
  101.    wt: 3:   5 Proportionality in Equivalent Fractions
  102.    wt: 3:   4 Rates Ratios and Proporitionality
  103.    wt: 3:   3 Proportionality Examples
  104.    wt: 3:   1 What is Proportionality
  105.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  106.    wt: 3:   8 Pythagorean Relation Forwards Backwards
  107.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  108.    wt: 3:   2 More and Less Than for Counts and Measures
  109.    wt: 3:   Formula Usage Show Work Format
  110.    wt: 3:   8 Compound Interest Formula Evaluation
  111.    wt: 3:   7 Compound Interest Formula Introduction
  112.    wt: 3:   6 Pythagorean Hypotenuse Calculation Example
  113.    wt: 3:   5 Box Volume Formula Example
  114.    wt: 3:   4 Circle Area Formula Example
  115.    wt: 3:   3 Triangle Area Formula Example
  116.    wt: 3:   2 Another Rectangle Area Formula Example
  117.    wt: 3:   10 Set View of Wordy Extensions To Arithmetic
  118.    wt: 3:   1 More and Less Than for Counts and Measures
  119.    wt: 3:   13 GCD from given Prime Factorization
  120.    wt: 3:   11 GCD 2700 288 via Euclid Algorithm
  121.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  122.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  123.    wt: 3:   8 GCD from Euclidean Algorithm
  124.    wt: 3:   7 GCD and LCM from prime factorization
  125.    wt: 3:   5 Common Divisors 60 45 via Prime
  126.    wt: 3:   4 signed coordinates for regions in space
  127.    wt: 3:   3 signed coordinates for maps and planes
  128.    wt: 3:   20 Uniqueness of Prime Factorization
  129.    wt: 3:   19 video Prime Factorization Unique
  130.    wt: 3:   17 Identify and Count Factors using Primes
  131.    wt: 3:   16 video Factors of 980 using prime
  132.    wt: 3:   14 video Factors of 24 Take II
  133.    wt: 3:   13 video Factors of 24 using prime
  134.    wt: 3:   7 Calculator Usage Notes and Cautions
  135.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  136.    wt: 3:   5 Prime Factorization and a Square Rule
  137.    wt: 3:   4 video Prime Factorization Introduction
  138.    wt: 3:   1 video how Products are bigger than factor
  139.    wt: 3:   6 Multiplication Commutes Order Not Important
  140.    wt: 3:   8 What skills and work habits to require
  141.    wt: 3:   Expression Evaluation how to show work
  142.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  143.    wt: 3:   Postscript More on Better Performance
  144.    wt: 3:   Postscript For Better Performance
  145.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  146.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  147.    wt: 3:   Chapter 9 Talking about Numbers or Quantities
  148.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  149.    wt: 3:   Foreword
  150.    wt: 3:   S Adding words to algebra
  151.    wt: 3:   M Words to extend arithmetic
  152.    wt: 3:   J. More on written work and showing skill
  153.    wt: 3:   H more Routine to non routine problem solving
  154.    wt: 3:   A. Skill has to be seen to believed
  155.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  156.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  157.    wt: 3:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  158.    wt: 2:   three goals to set for students
  159.    wt: 2:   grouping students according to ability
  160.    wt: 2:   talk the algebra talk
  161.    wt: 2:   02 21 words for teachers
  162.    wt: 2:   Four ways to improve education reform
  163.    wt: 2:   How to be a better instructor
  164.    wt: 2:   Prequel In For A Penny In For A Pound
  165.    wt: 2:   25 Mathematics Education Leaving A Good Impression
  166.    wt: 2:   18 Primary School Mathematics
  167.    wt: 2:   16 Secondary Mathematics Tips
  168.    wt: 2:   14 Multiplication and Times Tables
  169.    wt: 2:   13 Addition and Addition Tables
  170.    wt: 2:   9 Streaming by Student Cooperation
  171.    wt: 2:   8 The Effect of Negative Remarks
  172.    wt: 2:   7 Student Motivation
  173.    wt: 2:   2 Reading and Writing Skills
  174.    wt: 2:   1 Speaking Skills
  175.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  176.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  177.    wt: 2:   sign monoticity analysis example 4
  178.    wt: 2:   sign monoticity analysis example 3
  179.    wt: 2:   sign monoticity analysis example 2
  180.    wt: 2:   sign monoticity analysis example 1
  181.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  182.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  183.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  184.    wt: 2:   20 Interchanging coordinates a reflection
  185.    wt: 2:   19 Horizontal line rule and method
  186.    wt: 2:   16 Increasing or decreasing on intervals
  187.    wt: 2:   6 Set Existence Formation and Notation
  188.    wt: 2:   8 quadratics backward use of various formulas
  189.    wt: 2:   7 quadratic formulla derivation
  190.    wt: 2:   3 quadratics factoring by inspection
  191.    wt: 2:   5 Natural Logarithm Calculator Exercises
  192.    wt: 2:   1 Calculator Starter Exercises
  193.    wt: 2:   5 Polynomials Long division Nonlinear divisor
  194.    wt: 2:   4 Polynomials Long division linear divisor
  195.    wt: 2:   16 cotangent function Definition Graph and Inverse
  196.    wt: 2:   15 cosecant function Definition Graph and Inverse
  197.    wt: 2:   14 secant function Definition Graph and Inverse
  198.    wt: 2:   13 cosecant function Definition Graph and Inverse
  199.    wt: 2:   11 arctan left inverse of tangent Graph
  200.    wt: 2:   10 arctan left inverse of tangent Definition
  201.    wt: 2:   8 arcsin left inverse of sine Graph
  202.    wt: 2:   7 arcsin left inverse of sine Definition
  203.    wt: 2:   6 Graph of arccos function
  204.    wt: 2:   3 Left Inverse of cosine arccos definition
  205.    wt: 2:   1 cosine function properties
  206.    wt: 2:   A Global Time and Navigation
  207.    wt: 2:   15 Dot and Cross Product
  208.    wt: 2:   14 Why Scalar Multiplication Distributes Physical Argument
  209.    wt: 2:   11 Component Method
  210.    wt: 2:   10 Parallelogram Addition Method
  211.    wt: 2:   4 Resultant of a Sum of Movements
  212.    wt: 2:   Proportionality of Line Segments From Parallel Transversals
  213.    wt: 2:   Triangle Angles Sum To 180 Degrees
  214.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  215.    wt: 2:   Parallel Lines and Interior Angles
  216.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  217.    wt: 2:   Straight Lines ASA Intersection Study More
  218.    wt: 2:   D Straight Lines Slope from Coordinates Examples
  219.    wt: 2:   C Straight Lines Slope from Coordinates
  220.    wt: 2:   B Straight Line Slope Scaling Properties More
  221.    wt: 2:   9 Straight Lines through Origin Equations
  222.    wt: 2:   8 Straight Lines Equation for vertical
  223.    wt: 2:   17 tangent function angle sum formulas
  224.    wt: 2:   29 secant cosecant and cotangent for acute angles
  225.    wt: 2:   25 tangent double angle formula Slope connection
  226.    wt: 2:   24 tangent Angle Difference Formula
  227.    wt: 2:   22 sine of 22.5 degrees via half angle formulas
  228.    wt: 2:   21 sine and cosine Half Angle Formulas
  229.    wt: 2:   20 sine and cosine Double Angle Formulas
  230.    wt: 2:   17C sine and cosine double triple angle formulas
  231.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  232.    wt: 2:   12 Graph of tangent function for one period
  233.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  234.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  235.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  236.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  237.    wt: 2:   16 References and Originality Question
  238.    wt: 2:   11 sine and cosine double triple angle formulas
  239.    wt: 2:   10 sine cosine Angle Sum Formulas via cis
  240.    wt: 2:   7 Second Way to Calculate Products
  241.    wt: 2:   1 Rectangular Polar Coordinates Review
  242.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  243.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  244.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  245.    wt: 2:   13 Navigation Location from Angles to 2 Landmarks
  246.    wt: 2:   12 Triangles Similarity More Problems
  247.    wt: 2:   4 Similarity Definition with Coordinate
  248.    wt: 2:   3 Similarity by Design with coordinates
  249.    wt: 2:   1 Early Concept of Like or Similar Shapes
  250.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
  251.    wt: 2:   8 Mid Point Formula
  252.    wt: 2:   7 Exercises to test skill and concept mastery
  253.    wt: 2:   3 Slope product for perpendicular lines
  254.    wt: 2:   2 point slope equation for a line
  255.    wt: 2:   11 Triangle Inequality
  256.    wt: 2:   8 Distance Between Points on a Line
  257.    wt: 2:   7 Complex Numbers Appetizer
  258.    wt: 2:   6 Polar Multiplication and Rotation
  259.    wt: 2:   5 Cartesian Addition and Translation
  260.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  261.    wt: 2:   PS G Rotation Distributes over Addition
  262.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  263.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  264.    wt: 2:   PS B Parallelogram Construction Methods
  265.    wt: 2:   PS A Kite Construction Methods
  266.    wt: 2:   21 Parallelograms
  267.    wt: 2:   19 Right Triangle Similarity
  268.    wt: 2:   18 Triangle Similarity Take 1
  269.    wt: 2:   15 Triangle Angle Sum is 180 degrees
  270.    wt: 2:   14 Parallel Lines Postulate
  271.    wt: 2:   13 Angle Side Angle Failure
  272.    wt: 2:   12 Side Angle Side Failure
  273.    wt: 2:   11 Triangle Construction Fails
  274.    wt: 2:   8 Isoceles Triangles
  275.    wt: 2:   7 Angle Side Angle
  276.    wt: 2:   6 Ruler and compass Angle Bisection
  277.    wt: 2:   5 Side Angle Side
  278.    wt: 2:   4 Side Side Side
  279.    wt: 2:   3 Isometry of Triangles Congruence
  280.    wt: 2:   1 Initial Concepts and Terms
  281.    wt: 2:   6 Figuring with Maps Not to Scale
  282.    wt: 2:   4 Angles on Maps Plans drawn to scale
  283.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  284.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  285.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  286.    wt: 2:   E Long Division Methods more
  287.    wt: 2:   6 Column Methods for Decimal Multiplication
  288.    wt: 2:   5 Distributive Law for Whole Numbers
  289.    wt: 2:   4 Commutative Law Groups Counting Form
  290.    wt: 2:   1 The Counting Origins of Numbers
  291.    wt: 2:   2 Algebraic View
  292.    wt: 2:   6 Compound Interest Forward and Backwards
  293.    wt: 2:   5 Triangle Area Formula Backwards
  294.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  295.    wt: 2:   3 Linear Equation Literal Solution More
  296.    wt: 2:   5 Greater More Less Than Signs in General
  297.    wt: 2:   3 More and Less Than with Unlike Signs
  298.    wt: 2:   9 Coordinates for Regions in Space
  299.    wt: 2:   8 Coordinates for Maps and Planes
  300.    wt: 2:   4 Solving a triangular system exercise
  301.    wt: 2:   3 Solving triangular system example
  302.    wt: 2:   2 Essentially one exercises three with solution
  303.    wt: 2:   1 Essentially One Unknown
  304.    wt: 2:   12 Cone Cylinder Sphere Lesson Idea
  305.    wt: 2:   11 Volume of Sphere
  306.    wt: 2:   10 Volume of Pyramid
  307.    wt: 2:   9 Volume of Cone
  308.    wt: 2:   7 Cautious or Safe Set Construction
  309.    wt: 2:   3 Adding Words To Arithmetic
  310.    wt: 2:   arithmetic videos Real Player Format
  311.    wt: 2:   4 Greater More Less Than Signs in General
  312.    wt: 2:   2 More and Less Than with Unlike Signs
  313.    wt: 2:   5 Square Roots with primes more still
  314.    wt: 2:   4 Square Roots with primes more
  315.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  316.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  317.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  318.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  319.    wt: 2:   6 GCD from Prime
  320.    wt: 2:   4 LCM of 8 and 10 via Prime
  321.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  322.    wt: 2:   2 Least Common Multiple LCM intro via list method
  323.    wt: 2:   1 Least Common Multiples LCM Introduction
  324.    wt: 2:   12 GCD 2700 288 via Prime
  325.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  326.    wt: 2:   4 Counting with Trees Product Rule Take I
  327.    wt: 2:   3 Counting with Tables and Trees II
  328.    wt: 2:   2 Counting with Tables and Trees I
  329.    wt: 2:   1 Counting and Counting Methods I
  330.    wt: 2:   2 signed and unsigned numbers as coordinates
  331.    wt: 2:   7 Converting or Changing Units
  332.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  333.    wt: 2:   C Equality for Fractions and Two Term Ratios and Fractions
  334.    wt: 2:   21 Working With Signs
  335.    wt: 2:   21 Reciprocals for Fractions and Wholes
  336.    wt: 2:   19 Dividing Fractions How TO
  337.    wt: 2:   18 Efficient Ways to Multiply
  338.    wt: 2:   17 Efficient Ways to Add and Subtract
  339.    wt: 2:   15 Adding and Subtracting with Unlike Denominators
  340.    wt: 2:   14 Adding and Subtracting with Like Denominators
  341.    wt: 2:   A Associative Law Theorectical Note
  342.    wt: 2:   12 Adding Integers More Examples
  343.    wt: 2:   11 Adding Integers Formulas and Examples
  344.    wt: 2:   10 Integer Multiplication Formulas
  345.    wt: 2:   1 Integers as Coordinates
  346.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  347.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  348.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  349.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  350.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  351.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  352.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  353.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  354.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  355.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  356.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  357.    wt: 2:   12 LCD GCD and LCM using Primes
  358.    wt: 2:   11 Efficient Square Rule Use
  359.    wt: 2:   3 video Primes and Composites from 9 times table
  360.    wt: 2:   2 Prime and Composites less than 16
  361.    wt: 2:   Long Division Backwards more
  362.    wt: 2:   Long Division forwards and backwards Example 3
  363.    wt: 2:   Long Division forwards and backwards Example 2
  364.    wt: 2:   Long Division forwards and backwards Example 1
  365.    wt: 2:   12 Why Long Division Works Take III
  366.    wt: 2:   11 Another Single Digit Divisor Example
  367.    wt: 2:   10 Division by Five Long and Short Ways
  368.    wt: 2:   9 Why Long Division Works Take II
  369.    wt: 2:   8 Correcting the Mistake
  370.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  371.    wt: 2:   5 Long Division Include Zeroes or not
  372.    wt: 2:   4 Division with 2 Digit Divsors
  373.    wt: 2:   3 Division Single Digit Divisor Example
  374.    wt: 2:   2 Division with Single Digit Divisors
  375.    wt: 2:   A Elementary Basis for Multiplication Methods
  376.    wt: 2:   3 More One Digit Multipliers
  377.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  378.    wt: 2:   5 A Tip for Efficent Subtraction
  379.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  380.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  381.    wt: 2:   5. How to add decimals C. Examples
  382.    wt: 2:   4. How to add with decimals B with conversions
  383.    wt: 2:   3. How to add with decimals A sans conversions
  384.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  385.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  386.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  387.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  388.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  389.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  390.    wt: 2:   Quick history of numbers and algebra
  391.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  392.    wt: 2:   38 Formulas and derivatives for powers and roots
  393.    wt: 2:   Postscript Pythagorean Theorem yet another proof
  394.    wt: 2:   Foreword
  395.    wt: 2:   Appendix E. How To Study Mathematics and Why
  396.    wt: 2:   Appendix D. What to do in School and Why
  397.    wt: 2:   Appendix C. How to Read
  398.    wt: 2:   Appendix B. How To Learn
  399.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  400.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  401.    wt: 2:   Chapter 26 What is in chapters 27 to 31
  402.    wt: 2:   Chapter 23. Notation For Sums
  403.    wt: 2:   Chapter 18. Rules for Algebra
  404.    wt: 2:   Chapter 16. Painless Theorem Proving
  405.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  406.    wt: 2:   Chapter 12. Shorthand Usage Guide
  407.    wt: 2:   Chapter 11. Why Shorthand
  408.    wt: 2:   Chapter 8 Three Skills For Algebra
  409.    wt: 2:   Solutions For Arithmetic Exercises
  410.    wt: 2:   Chapter 7 Prep for Calculus Arithmetic Exercises
  411.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  412.    wt: 2:   Foreword
  413.    wt: 2:   Postscript C Consistency as a Tool for Reason
  414.    wt: 2:   Postscript B More on Story Telling and Reason
  415.    wt: 2:   Foreword
  416.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
  417.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  418.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  419.    wt: 2:   N Mathematics Prepare for College Studies
  420.    wt: 2:   F. The student teacher tutor feedback loop
  421.    wt: 2:   D. Check work a must with a caution
  422.    wt: 2:   B. Domino effect of errors
  423.    wt: 2:   How to Build Skills and Confidence
  424.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  425.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  426.    wt: 2:   7 Games and Activities for Instruction
  427.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  428.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  429.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  430.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  431.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  432.    wt: 2:   More Algebra and Slope based Calculus Preview
  433.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  434.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  435.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  436.    wt: 2:   Which Way To Go
  437.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  438.    wt: 1:   J LAMP Introduction Extrinsic Origins
  439.    wt: 1:   Ramblings Extrinsic numbers theory
  440.    wt: 1:   9 combinatorics probability sets
  441.    wt: 1:   which way to go
  442.    wt: 1:   permissions for teachers
  443.    wt: 1:   Math Ed if it must be short make it lean effective
  444.    wt: 1:   activities for students
  445.    wt: 1:   site origins
  446.    wt: 1:   Mathematics Education Professors
  447.    wt: 1:   Education Reform Inconsistencies
  448.    wt: 1:   What to Tell Students
  449.    wt: 1:   geometric implications for algebra
  450.    wt: 1:   teaching tutoring algebraic reason
  451.    wt: 1:   three goals for Mathematics Education
  452.    wt: 1:   05 13 OldSiteEntrancePage
  453.    wt: 1:   three aims for mathematics students
  454.    wt: 1:   standards for course material
  455.    wt: 1:   Operational Viewpoint to Value
  456.    wt: 1:   Theory of Knowledge
  457.    wt: 1:   need for a mixed mathematics curriculum
  458.    wt: 1:   fairness and inductive principles for instruction
  459.    wt: 1:   3 Like resistors in parallel
  460.    wt: 1:   2 Unlike resistors in parallel01
  461.    wt: 1:   1 Like resistors in series
  462.    wt: 1:   F Unlike Resistors in Series
  463.    wt: 1:   C Electromotive force conventional current02
  464.    wt: 1:   B Electromotive force conventional current01
  465.    wt: 1:   Ages 12 to 14 Skills with take home value
  466.    wt: 1:   Ages 12 to 14 Geometry
  467.    wt: 1:   Ages 12 to 14 Arithmetic
  468.    wt: 1:   Ages 10 to 12 Geometry
  469.    wt: 1:   Ages 10 to 12 Arithmetic
  470.    wt: 1:   Ages 9 to 10
  471.    wt: 1:   Ages 8 to 9
  472.    wt: 1:   Ages 7 to 8
  473.    wt: 1:   Ages 6 to 7
  474.    wt: 1:   Ages 4 plus to 5 plus
  475.    wt: 1:   Ages 3 plus to 4 plus
  476.    wt: 1:   26 Function definitions done and coming
  477.    wt: 1:   23 Inverse Functions
  478.    wt: 1:   22 Square Root function graphically
  479.    wt: 1:   18 Vertical Line Rule and Method
  480.    wt: 1:   17 Function maxima minima and their location
  481.    wt: 1:   15 Sign analysis of functions
  482.    wt: 1:   14 Surjections Injections Bijections
  483.    wt: 1:   12 Function Domain Recognition Exercises
  484.    wt: 1:   11 Function Domain Range Source and Targets
  485.    wt: 1:   10 Interval Notation
  486.    wt: 1:   8 Set view of relations and functions
  487.    wt: 1:   7 Functions with finite domains
  488.    wt: 1:   4 Function notation in and beyond mathematics
  489.    wt: 1:   2 Algebraic use of function notation
  490.    wt: 1:   1 Geometric Introduction of Function Notation
  491.    wt: 1:   Introduction Reading Guide
  492.    wt: 1:   A Quadratics Summary
  493.    wt: 1:   10 quadratic exercises
  494.    wt: 1:   9 quadratics physical and further context
  495.    wt: 1:   6 quadratics numerical approach
  496.    wt: 1:   5 quadratics completing the square
  497.    wt: 1:   4 quadratics difference of two squares
  498.    wt: 1:   2 quadratics graphing in general
  499.    wt: 1:   1 quadratics graphing exercises
  500.    wt: 1:   Quadratics in 10 steps
  501.    wt: 1:   11 Growth and Decay in Biology
  502.    wt: 1:   10 Exponential Growth and Decay Models
  503.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  504.    wt: 1:   2 Square Root Simplification a prequel
  505.    wt: 1:   7 Links Lessons Elsewhere
  506.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  507.    wt: 1:   3 Polynomials Multiplication Addition
  508.    wt: 1:   2 Column Multiplication Method
  509.    wt: 1:   1 Polynomials Distributive Law
  510.    wt: 1:   Rewriting algebraic substitution as function substitutions
  511.    wt: 1:   4 graphing y=Asin(x c)
  512.    wt: 1:   3 graphing y=f(x c) plus K
  513.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  514.    wt: 1:   1 graphing y=f(x a)
  515.    wt: 1:   Parallel Lines and Parallel Transversals
  516.    wt: 1:   Straight Lines ASA Intersection Study
  517.    wt: 1:   Straight Lines Instersection Solving Equations
  518.    wt: 1:   Straight Lines Intersection of
  519.    wt: 1:   A Straight Line Slope Scaling Properties
  520.    wt: 1:   14 Straight Lines Equations General Case
  521.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  522.    wt: 1:   12 Straight Lines Graphing mx plus b
  523.    wt: 1:   11 Straight Lines Graphing y=mx
  524.    wt: 1:   7 Tangent Function is odd on this domain
  525.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  526.    wt: 1:   5 Tangent Function Graph
  527.    wt: 1:   4 Tangent Function Properties
  528.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  529.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  530.    wt: 1:   1 Straight Lines Slope Concept
  531.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  532.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  533.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  534.    wt: 1:   32 seven rows of pascals triangle
  535.    wt: 1:   31 basic secant cosecant cotangent trig identities
  536.    wt: 1:   30 unit circle calculation of six trigonometric functions
  537.    wt: 1:   28 Expressing products of sines cosines as sums
  538.    wt: 1:   27 Logarithmic use of products of sines and cosines
  539.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  540.    wt: 1:   18 sum of sinusoidal waves as a single wave
  541.    wt: 1:   17F Law of cosines
  542.    wt: 1:   17A The complex number valued trig function cis
  543.    wt: 1:   16 Right Triangle Complementary Angle Relations
  544.    wt: 1:   15 sine cosine Complementary Angle Relations
  545.    wt: 1:   14 cosine even and sine and tangent are odd
  546.    wt: 1:   13 Graph of tangent function many periods
  547.    wt: 1:   11 tangent function undefined when terminal side vertical
  548.    wt: 1:   10 Graphs of sines and cosines many periods
  549.    wt: 1:   9 Graphs of sine and cosine over one period
  550.    wt: 1:   8 period of tangent function
  551.    wt: 1:   7 period of sine and cosine
  552.    wt: 1:   2 Quadrant I reference Angles
  553.    wt: 1:   1 Unit Points Reflections Rotations
  554.    wt: 1:   Unit Circle Development of Trigonometry
  555.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  556.    wt: 1:   21 Logarithms Powers and Exponentials
  557.    wt: 1:   20 N th Roots of Complex Numbers
  558.    wt: 1:   19 N th Roots of Unity
  559.    wt: 1:   18 Sixth Roots of Unity
  560.    wt: 1:   17 Cube Roots of unity
  561.    wt: 1:   14 Law of cosines
  562.    wt: 1:   9 The complex number valued trig function cis
  563.    wt: 1:   8 Unit Circle Development of Trigonometry
  564.    wt: 1:   6 Field Properties of Complex Number
  565.    wt: 1:   5 An Easy Proof of the Distributive Law
  566.    wt: 1:   4 Multiplication Properties
  567.    wt: 1:   3 Addition Properties
  568.    wt: 1:   2 Complex Numbers made easier we hope
  569.    wt: 1:   Appetizer A Complex Number Applet
  570.    wt: 1:   8 Triangles Cascade Problem Solving
  571.    wt: 1:   7 Trignometric Ratios Unit Circle
  572.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  573.    wt: 1:   3 Trigonometric Ratios sine and cosine
  574.    wt: 1:   1 Angle Measurement with Degrees
  575.    wt: 1:   Why Trigonometry the whyslopes view
  576.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  577.    wt: 1:   11 Triangle Similarity Missing Side Problem
  578.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  579.    wt: 1:   9 Similarity of Triangles Usual Criteria
  580.    wt: 1:   8 Similarity of Triangles and Polygons
  581.    wt: 1:   7 Translations Rotations Reflections Dilatations
  582.    wt: 1:   6 Geometric Diagrams in Class
  583.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  584.    wt: 1:   2 Similarity By Design
  585.    wt: 1:   Four Simple Exercises
  586.    wt: 1:   12 Links Lessons elsewhere
  587.    wt: 1:   11 A Partial Summary
  588.    wt: 1:   10 Midpoint of [a b] and [b a]
  589.    wt: 1:   6 Intersection of lines by solving linear systems
  590.    wt: 1:   5 Algebraic View of Slopes
  591.    wt: 1:   1 Numerical view of lines and their equations
  592.    wt: 1:   What is and is not here
  593.    wt: 1:   A Measurement with Ruler Proper Use
  594.    wt: 1:   3 Lengths and Areas on Maps and Plans
  595.    wt: 1:   2 Measuring Area Directly
  596.    wt: 1:   1 Length Measurement
  597.    wt: 1:   About Folder Contents
  598.    wt: 1:   26 More Less Greater Than Comparison
  599.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  600.    wt: 1:   21 Addition of Multiples of a Single Vector
  601.    wt: 1:   19 Signed Multiples of Vectors
  602.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  603.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  604.    wt: 1:   15 Head to Tails in place Addition Associative
  605.    wt: 1:   13 Arrows and Vectors in a Plane
  606.    wt: 1:   12 Real Numbers Line Signed Coordinates
  607.    wt: 1:   D Long Division Methods
  608.    wt: 1:   C Three Decimal Subtraction Methods
  609.    wt: 1:   B Decimal Comparison and Subtraction
  610.    wt: 1:   A Decimal Addition Columm Methods
  611.    wt: 1:   8 Column Multiplication Methods in General
  612.    wt: 1:   7 Decimals Multiplication Methods Examples
  613.    wt: 1:   3 Multiplicative Counting Skills Principles
  614.    wt: 1:   2 Combing Counts Addition Skills and Principles
  615.    wt: 1:   2 Linear Equation Literal Solution
  616.    wt: 1:   1 Changing Calculations
  617.    wt: 1:   6 Equations and Systems Equivalent or Implied
  618.    wt: 1:   3 Product Axioms Two Forms
  619.    wt: 1:   4 Comparison of Negative Numbers
  620.    wt: 1:   1 Real Numbers Comparison
  621.    wt: 1:   12 Real Number Additive Inverses or Negatives
  622.    wt: 1:   7 Real Numbers as Line Cordinates
  623.    wt: 1:   5 Rational Numbers More
  624.    wt: 1:   3 Geometric Formulas and Function Notation
  625.    wt: 1:   1 Formulas Dependence and Function Notation
  626.    wt: 1:   More Exercises
  627.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  628.    wt: 1:   6 Algebraic Solution Example
  629.    wt: 1:   5 Algebraic Solutions Introduction
  630.    wt: 1:   4 Four Examples Fractional Coefficients
  631.    wt: 1:   3 Four Examples
  632.    wt: 1:   2 Three Examples
  633.    wt: 1:   1 Proper Equal Sign Usage
  634.    wt: 1:   Using Letters for Physical Quantities
  635.    wt: 1:   9 Sets in Probability and Statistics
  636.    wt: 1:   8 Sets of Numbers
  637.    wt: 1:   6 Power Set Notation
  638.    wt: 1:   5 Product Builder Notation
  639.    wt: 1:   4 Subset Builder Notation
  640.    wt: 1:   3 Counting with Sets etc
  641.    wt: 1:   2 Venn Diagrams
  642.    wt: 1:   1 Finite Sets
  643.    wt: 1:   5 Talking about Numbers and Quantities
  644.    wt: 1:   4 A Brief Story of numbers and algebra
  645.    wt: 1:   1 Three Skills For Algebra
  646.    wt: 1:   3 Comparison of Negative Numbers
  647.    wt: 1:   3 Properties of Square Roots with example
  648.    wt: 1:   2 Square Roots with Prime
  649.    wt: 1:   1 Squares and Square Roots Introduction
  650.    wt: 1:   11 What are real lengths and numbers
  651.    wt: 1:   10 dividing signed numbers
  652.    wt: 1:   9 subtracting signed numbers
  653.    wt: 1:   8 multiplying signed numbers
  654.    wt: 1:   7 negative and additive inverse
  655.    wt: 1:   6 adding signed numbers
  656.    wt: 1:   5 lengths and signs of numbers
  657.    wt: 1:   6 Simplification of Fractions with Units
  658.    wt: 1:   4 Fractions with Units
  659.    wt: 1:   3 Multiplying Units and Numbers
  660.    wt: 1:   2 Equality and Units
  661.    wt: 1:   1 Addition and Subtraction with Units
  662.    wt: 1:   D Three Term Ratios
  663.    wt: 1:   B Fractions and Two Term Ratios
  664.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  665.    wt: 1:   22 Complex Compound Fractions
  666.    wt: 1:   20 Dividing Fractions the Why
  667.    wt: 1:   16 Addition Subtraction Comparision Compared
  668.    wt: 1:   13 Fraction Comparison Algebraic View
  669.    wt: 1:   12 Fraction Comparison
  670.    wt: 1:   11 Simplification an Algebraic View
  671.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  672.    wt: 1:   9 Improper Fractions and Mixed Numbers
  673.    wt: 1:   8 Numerals Fractionals Quantals Take II
  674.    wt: 1:   7 Numerals Fractionals Quantals
  675.    wt: 1:   6 Multiplication of Mixed Numbers
  676.    wt: 1:   6 Multiplication Algebraically Take II
  677.    wt: 1:   5 Equivalent Fractions
  678.    wt: 1:   4 Fraction Multiplication
  679.    wt: 1:   3 Unit fraction of a fraction
  680.    wt: 1:   2 Unit Fraction Multiplication
  681.    wt: 1:   1 What is a fraction Take II
  682.    wt: 1:   1 What is a fraction
  683.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  684.    wt: 1:   D Remainders Modulo 11 Pair Rule
  685.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  686.    wt: 1:   B Integer Long Division Multiple Choices
  687.    wt: 1:   13 Subtraction with Additive Inverse
  688.    wt: 1:   9 Multiplying Integers
  689.    wt: 1:   8 Multiplication by Signed Numbers Integers
  690.    wt: 1:   7 Multiplication by Signs
  691.    wt: 1:   6 Multiplication by Natural Numbers
  692.    wt: 1:   5 Zero Movement and Additive Inverses
  693.    wt: 1:   4 Adding Movements wiht opposite directions
  694.    wt: 1:   3 Adding Movements with same direction
  695.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  696.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  697.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  698.    wt: 1:   26 Divisibility by 2 3 5 Example
  699.    wt: 1:   23 Remainder Arithmetic Modulo 2
  700.    wt: 1:   21 Remainder Arithmetic Modulo 3
  701.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  702.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  703.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  704.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  705.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  706.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  707.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  708.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  709.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  710.    wt: 1:   5 Remainder Arithmetic Modulo 5
  711.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  712.    wt: 1:   1 Remainder Arithmetic Modulo 10
  713.    wt: 1:   Long Division Backward
  714.    wt: 1:   Division with Counts and Length
  715.    wt: 1:   7 Long Divison Mistake Catching
  716.    wt: 1:   1 Divsion Physical Examples
  717.    wt: 1:   D Decimal Multiplication Methods Derived
  718.    wt: 1:   C Counting Areas with Powers of Ten
  719.    wt: 1:   B Powers of Ten
  720.    wt: 1:   5 Decimal Fraction Multiplication
  721.    wt: 1:   4 Two and Three Digit Multipliers
  722.    wt: 1:   2 One Digit Multipliers
  723.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  724.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  725.    wt: 1:   Video Power Notation in Decimal Expansion
  726.    wt: 1:   1 Why 3 times 5 gives 15
  727.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  728.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  729.    wt: 1:   Subtraction with J Conversions Example
  730.    wt: 1:   Subtraction Another Video Lesson
  731.    wt: 1:   9 22 Minute Subtraction Review Video
  732.    wt: 1:   8 Subtraction with Units of Measure
  733.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  734.    wt: 1:   2 Subtraction Easy Case Examples
  735.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  736.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  737.    wt: 1:   7 Adding decimal fractions using decimal point
  738.    wt: 1:   6. Counting and adding units and mixed units
  739.    wt: 1:   2 Decimal Counting Practices
  740.    wt: 1:   1. Explaining Addition Table
  741.    wt: 1:   11 Place Value SI Standard International way
  742.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  743.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  744.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  745.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  746.    wt: 1:   Exact Arithmetic Wholes and Fractions
  747.    wt: 1:   The 20 Times Table
  748.    wt: 1:   The 12 Times Table Visually
  749.    wt: 1:   About folder contents
  750.    wt: 1:   015 School and work day counting tables
  751.    wt: 1:   8 Addition of Time Intervals via subtotaling
  752.    wt: 1:   1 Intro of Kids To Time Date Skills
  753.    wt: 1:   28 Chain Rule Preparation for a Proof
  754.    wt: 1:   22 Chain Rule for polynomials
  755.    wt: 1:   21 Chain Rule for powers
  756.    wt: 1:   20 Chain Rule for Pulley Systems
  757.    wt: 1:   19 Chain Rule for linear functions
  758.    wt: 1:   10 Power rule for negative integers
  759.    wt: 1:   3 Motivation for Limit Definition Take 2
  760.    wt: 1:   2 Motivation for Limit Definition Take 1
  761.    wt: 1:   7 Evaluation by immediate or delayed substitution
  762.    wt: 1:   5 Jumps and absence of unlimited error control
  763.    wt: 1:   3 Decimal insights for limits continuity convergence
  764.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  765.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  766.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  767.    wt: 1:   G.3 Constant Difference Theorem Proof
  768.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  769.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  770.    wt: 1:   F.5b Extreme Value Theorem
  771.    wt: 1:   F.5a Equicontinuity Theorems
  772.    wt: 1:   F.4 Finite Covering Theorem
  773.    wt: 1:   F.3 Intermediate Value Theorem
  774.    wt: 1:   F.2 Closed Range Theorem
  775.    wt: 1:   E1 Error Control Inequalities
  776.    wt: 1:   D2 Limits of Monotone Sequences
  777.    wt: 1:   B3 Bolzano Weierstrass Theorem
  778.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  779.    wt: 1:   PostScript For and Against Decimal Perspectives
  780.    wt: 1:   Chapter 23 Links To Trigonometry
  781.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  782.    wt: 1:   Chapter 4. More Slope Sign Analysis
  783.    wt: 1:   Chapter 31 Direct and Indirect Reason
  784.    wt: 1:   Chapter 30 Truth Tables
  785.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  786.    wt: 1:   Chapter 28 Occurrence Tables
  787.    wt: 1:   Chapter 25. Mathematical Induction Examples
  788.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  789.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  790.    wt: 1:   Chapter 21. Third Reading Guide
  791.    wt: 1:   Chapter 20. Degrees and Radians
  792.    wt: 1:   Chapter 19. Functions and Sets
  793.    wt: 1:   Chapter 15. Solving Linear Equations
  794.    wt: 1:   Chapter 13. Second Reading Guide
  795.    wt: 1:   Chapter 10 Describing and Changing Calculations
  796.    wt: 1:   Postscript What is a Variable
  797.    wt: 1:   Chapter 6 Change of Language
  798.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  799.    wt: 1:   Chapter 4 Longer Chains of Reason
  800.    wt: 1:   Chapter 3 Chains of Reason
  801.    wt: 1:   Annotated Links to Material Elsehwere
  802.    wt: 1:   Chapter 2 For and Against Mathematics
  803.    wt: 1:   Postscript A Story Telling
  804.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  805.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  806.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  807.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  808.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  809.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  810.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  811.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  812.    wt: 1:   R Why Learn Mathematics Skills
  813.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  814.    wt: 1:   O On Learning Mathematics and Science
  815.    wt: 1:   L Skills with take home value
  816.    wt: 1:   N Improving Marks on Tests and Finals
  817.    wt: 1:   I. Logic and language skills
  818.    wt: 1:   H Jigsaw puzzles and problem solving
  819.    wt: 1:   C. Domino effect of being careful
  820.    wt: 1:   Chapter 8 Skipped Topics and Why
  821.    wt: 1:   Chapter 6 More Algebra and Geometry
  822.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  823.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  824.    wt: 1:   5 Interpreting and Drawing Maps and Plans.
  825.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  826.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  827.    wt: 1:   Helping the Blind in Logic and Mathematics
  828.    wt: 1:   Mathematics Education References
  829.    wt: 1:   Mathematics Education References
  830.    wt: 1:   Implementation Notes
  831.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  832.    wt: 1:   Systematic Algebra Skill Development Missing Links
  833.    wt: 1:   The Math Forum and Site Content

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

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

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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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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