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 Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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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44 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  3.    wt: 6:   13 Vectors/
  4.    wt: 6:   12 Function Translating and Rescaling/
  5.    wt: 6:   11 Parallel Straight Lines and Transversals/
  6.    wt: 6:   10 Intersecting Straight Lines and Transversals/
  7.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
  8.    wt: 6:   8 Unit Circle Trigonometry/
  9.    wt: 6:   6 Trigonometry first steps/
  10.    wt: 6:   4 Lines and Slopes Take 1/
  11.    wt: 6:   3 Cartesian and Polar Coordinates/
  12.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  13.    wt: 5:   7 Complex Numbers/
  14.    wt: 5:   5 What is Similarity/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  18.    wt: 2:   11 Squares and Square Roots/
  19.    wt: 2:   10 LCM GCD and Euclid GCD Algorithm/
  20.    wt: 2:   9 Combinatorics Trees Tables and Products/
  21.    wt: 2:   7 Arithmetic and Fractions with Units/
  22.    wt: 2:   6 Fractions and Ratios/
  23.    wt: 2:   4 Remainder Arithmetic and Divisibility/
  24.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  25.    wt: 2:   A Decimal Counting and Adding Methods/
  26.    wt: 1:   A Origins of Counting and Figuring Methods/
  27.    wt: 1:   9 Proportionality Backwards and Forwards/
  28.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  29.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  30.    wt: 1:   4 Computation Rules and Function Notation/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   8 Arithmetic with Signed Numbers/
  33.    wt: 1:   5 Integers/
  34.    wt: 1:   3 Prime Factorization Skills/
  35.    wt: 1:   D Decimal Long Division Methods/
  36.    wt: 1:   C Decimal Multiplication Methods/
  37.    wt: 1:   2 Arithmetic with Decimals/
  38.    wt: 1:   1 Decimal Place Value/
  39.    wt: 1:   Arithmetic and Number Theory Skills/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Work and Study Tips/
  43.    wt: 1:   Resources and Reciprocal Links/
  44.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/

Web Page Search

289 matches:

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

Extended Search

677 matches:

  1.    wt: 9:   4 Angles on Maps Plans drawn to scale
  2.    wt: 8:   3 Navigation with Arrows or Vectors
  3.    wt: 8:   Construction Methods and Criteria for Isometric and Similar Triangles
  4.    wt: 8:   14 cosine even and sine and tangent are odd
  5.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  6.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  7.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  8.    wt: 8:   6 Figuring with Maps Not to Scale
  9.    wt: 7:   9 Summary Degrees to Radians and back
  10.    wt: 7:   1 Degrees and Radians Introduction
  11.    wt: 7:   A Global Time and Navigation
  12.    wt: 7:   15 Dot and Cross Product
  13.    wt: 7:   13 Velocity Vectors in Physics
  14.    wt: 7:   8 Parallel Vectors
  15.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  16.    wt: 7:   6 Vectors with Coordinates
  17.    wt: 7:   Vector and Complex Number Applet
  18.    wt: 7:   Parallel Lines and Parallel Transversals
  19.    wt: 7:   Parallel Lines and Alternating Corresponding Angles
  20.    wt: 7:   Parallel Lines and Interior Angles
  21.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  22.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  23.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  24.    wt: 7:   29 secant cosecant and cotangent for acute angles
  25.    wt: 7:   27 Logarithmic use of products of sines and cosines
  26.    wt: 7:   26 Formulas for products of sines and cosines
  27.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  28.    wt: 7:   21 sine and cosine Half Angle Formulas
  29.    wt: 7:   20 sine and cosine Double Angle Formulas
  30.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  31.    wt: 7:   17E Trig Formulas for dot and cross Products
  32.    wt: 7:   17D cis formulas for sine cosines and tangent
  33.    wt: 7:   17C sine and cosine double triple angle formulas
  34.    wt: 7:   10 Graphs of sines and cosines many periods
  35.    wt: 7:   9 Graphs of sine and cosine over one period
  36.    wt: 7:   7 period of sine and cosine
  37.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  38.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  39.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  40.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  41.    wt: 7:   Unit Circle Development of Trigonometry
  42.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  43.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  44.    wt: 7:   3 Trigonometric Ratios sine and cosine
  45.    wt: 7:   Why Trigonometry the whyslopes view
  46.    wt: 7:   10 Midpoint of [a b] and [b a]
  47.    wt: 7:   7 Exercises to test skill and concept mastery
  48.    wt: 7:   1 Numerical view of lines and their equations
  49.    wt: 7:   What is and is not here
  50.    wt: 7:   6 Polar Multiplication and Rotation
  51.    wt: 7:   5 Cartesian Addition and Translation
  52.    wt: 7:   4 Polar Coordinates to and from
  53.    wt: 7:   A Measurement with Ruler Proper Use
  54.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  55.    wt: 7:   2 Measuring Area Directly
  56.    wt: 7:   1 Length Measurement
  57.    wt: 6:   16 cotangent function Definition Graph and Inverse
  58.    wt: 6:   15 cosecant function Definition Graph and Inverse
  59.    wt: 6:   14 secant function Definition Graph and Inverse
  60.    wt: 6:   13 cosecant function Definition Graph and Inverse
  61.    wt: 6:   8 Radian Measures of Common Angles
  62.    wt: 6:   7 Radian Measures in special Triangles
  63.    wt: 6:   6 Radian Measure to Degrees
  64.    wt: 6:   5 Degrees to Radian Measure
  65.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  66.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  67.    wt: 6:   2 Radian Measure Numerical Value of one degree
  68.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  69.    wt: 6:   12 From Applied To Pure Mathematics
  70.    wt: 6:   11 Component Method
  71.    wt: 6:   10 Parallelogram Addition Method
  72.    wt: 6:   9 Head to Tail Coordinate View
  73.    wt: 6:   5 Head To Tail Arrow Addition
  74.    wt: 6:   4 Resultant of a Sum of Movements
  75.    wt: 6:   2 Signed Coordinates
  76.    wt: 6:   1 Unsigned Coordinates
  77.    wt: 6:   4 graphing y=Asin(x c)
  78.    wt: 6:   3 graphing y=f(x c) plus K
  79.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  80.    wt: 6:   1 graphing y=f(x a)
  81.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  82.    wt: 6:   Triangle Angles Sum To 180 Degrees
  83.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  84.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  85.    wt: 6:   Straight Lines ASA Intersection Study More
  86.    wt: 6:   Straight Lines ASA Intersection Study
  87.    wt: 6:   Straight Lines Instersection Solving Equations
  88.    wt: 6:   Straight Lines Intersection of
  89.    wt: 6:   D Straight Lines Slope from Coordinates Examples
  90.    wt: 6:   C Straight Lines Slope from Coordinates
  91.    wt: 6:   B Straight Line Slope Scaling Properties More
  92.    wt: 6:   A Straight Line Slope Scaling Properties
  93.    wt: 6:   14 Straight Lines Equations General Case
  94.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  95.    wt: 6:   12 Straight Lines Graphing mx plus b
  96.    wt: 6:   11 Straight Lines Graphing y=mx
  97.    wt: 6:   10 Straight Lines through Origin Equations More
  98.    wt: 6:   9 Straight Lines through Origin Equations
  99.    wt: 6:   8 Straight Lines Equation for vertical
  100.    wt: 6:   7 Tangent Function is odd on this domain
  101.    wt: 6:   6 Tangent Function Inclination Angle Take 2
  102.    wt: 6:   5 Tangent Function Graph
  103.    wt: 6:   4 Tangent Function Properties
  104.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  105.    wt: 6:   2 Straight Lines Slopes As Rise Over Run
  106.    wt: 6:   1 Straight Lines Slope Concept
  107.    wt: 6:   17 tangent function angle sum formulas
  108.    wt: 6:   32 seven rows of pascals triangle
  109.    wt: 6:   31 basic secant cosecant cotangent trig identities
  110.    wt: 6:   30 unit circle calculation of six trigonometric functions
  111.    wt: 6:   28 Expressing products of sines cosines as sums
  112.    wt: 6:   25 tangent double angle formula Slope connection
  113.    wt: 6:   24 tangent Angle Difference Formula
  114.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  115.    wt: 6:   18 sum of sinusoidal waves as a single wave
  116.    wt: 6:   17G Pythagorean Theorem Converse
  117.    wt: 6:   17F Law of cosines
  118.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  119.    wt: 6:   17A The complex number valued trig function cis
  120.    wt: 6:   16 Right Triangle Complementary Angle Relations
  121.    wt: 6:   15 sine cosine Complementary Angle Relations
  122.    wt: 6:   13 Graph of tangent function many periods
  123.    wt: 6:   12 Graph of tangent function for one period
  124.    wt: 6:   11 tangent function undefined when terminal side vertical
  125.    wt: 6:   8 period of tangent function
  126.    wt: 6:   2 Quadrant I reference Angles
  127.    wt: 6:   1 Unit Points Reflections Rotations
  128.    wt: 6:   21 Logarithms Powers and Exponentials
  129.    wt: 6:   16 References and Originality Question
  130.    wt: 6:   13 Trig Formulas for dot and cross Products
  131.    wt: 6:   12 cis formulas for sine cosines and tangent
  132.    wt: 6:   11 sine and cosine double triple angle formulas
  133.    wt: 6:   8 Unit Circle Development of Trigonometry
  134.    wt: 6:   8 Triangles Cascade Problem Solving
  135.    wt: 6:   7 Trignometric Ratios Unit Circle
  136.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  137.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  138.    wt: 6:   1 Angle Measurement with Degrees
  139.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  140.    wt: 6:   8 Similarity of Triangles and Polygons
  141.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  142.    wt: 6:   Four Simple Exercises
  143.    wt: 6:   12 Links Lessons elsewhere
  144.    wt: 6:   11 A Partial Summary
  145.    wt: 6:   9 Midpoint Coordinates Half Endpoint Sum
  146.    wt: 6:   8 Mid Point Formula
  147.    wt: 6:   6 Intersection of lines by solving linear systems
  148.    wt: 6:   5 Algebraic View of Slopes
  149.    wt: 6:   4 Equations for lines three forms
  150.    wt: 6:   3 Slope product for perpendicular lines
  151.    wt: 6:   2 point slope equation for a line
  152.    wt: 6:   13 Pythagorean spatial distance formulas
  153.    wt: 6:   12 Spatial Coordinates
  154.    wt: 6:   11 Triangle Inequality
  155.    wt: 6:   10 Pythagorean plane distance formula
  156.    wt: 6:   9 Pythagorean Theorem Chinese Square Proof
  157.    wt: 6:   8 Distance Between Points on a Line
  158.    wt: 6:   7 Complex Numbers Appetizer
  159.    wt: 6:   3 Rectangular Coordinates Review
  160.    wt: 6:   2 Cartesian Coordinates with signs
  161.    wt: 6:   1 Cartesian Coordinates sans signs
  162.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  163.    wt: 6:   16 Angles Subtended By Chords and Diameters
  164.    wt: 6:   6 Ruler and compass Angle Bisection
  165.    wt: 6:   1 Initial Concepts and Terms
  166.    wt: 5:   12 motivation for term arctan
  167.    wt: 5:   11 arctan left inverse of tangent Graph
  168.    wt: 5:   10 arctan left inverse of tangent Definition
  169.    wt: 5:   9 motivation for name arcsin
  170.    wt: 5:   8 arcsin left inverse of sine Graph
  171.    wt: 5:   7 arcsin left inverse of sine Definition
  172.    wt: 5:   6 Graph of arccos function
  173.    wt: 5:   5 Swapping Coordinates is a reflection
  174.    wt: 5:   4 possible motivation for term arccos
  175.    wt: 5:   3 Left Inverse of cosine arccos definition
  176.    wt: 5:   2 cosine function more properties
  177.    wt: 5:   1 cosine function properties
  178.    wt: 5:   20 N th Roots of Complex Numbers
  179.    wt: 5:   19 N th Roots of Unity
  180.    wt: 5:   18 Sixth Roots of Unity
  181.    wt: 5:   17 Cube Roots of unity
  182.    wt: 5:   15 Pythagorean Theorem Converse
  183.    wt: 5:   14 Law of cosines
  184.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  185.    wt: 5:   9 The complex number valued trig function cis
  186.    wt: 5:   7 Second Way to Calculate Products
  187.    wt: 5:   6 Field Properties of Complex Number
  188.    wt: 5:   5 An Easy Proof of the Distributive Law
  189.    wt: 5:   4 Multiplication Properties
  190.    wt: 5:   3 Addition Properties
  191.    wt: 5:   2 Complex Numbers made easier we hope
  192.    wt: 5:   1 Rectangular Polar Coordinates Review
  193.    wt: 5:   Appetizer A Complex Number Applet
  194.    wt: 5:   12 Triangles Similarity More Problems
  195.    wt: 5:   11 Triangle Similarity Missing Side Problem
  196.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  197.    wt: 5:   9 Similarity of Triangles Usual Criteria
  198.    wt: 5:   7 Translations Rotations Reflections Dilatations
  199.    wt: 5:   6 Geometric Diagrams in Class
  200.    wt: 5:   4 Similarity Definition with Coordinate
  201.    wt: 5:   3 Similarity by Design with coordinates
  202.    wt: 5:   2 Similarity By Design
  203.    wt: 5:   1 Early Concept of Like or Similar Shapes
  204.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  205.    wt: 5:   PS H Distributive Law For Complex Numbers
  206.    wt: 5:   PS G Rotation Distributes over Addition
  207.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  208.    wt: 5:   PS E Multiplication with Polar Coordinates
  209.    wt: 5:   PS D Addition with Cartesian Coordinates
  210.    wt: 5:   PS B Parallelogram Construction Methods
  211.    wt: 5:   PS A Kite Construction Methods
  212.    wt: 5:   21 Parallelograms
  213.    wt: 5:   19 Right Triangle Similarity
  214.    wt: 5:   18 Triangle Similarity Take 1
  215.    wt: 5:   17 Right Bisectors of Triangle Sides
  216.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  217.    wt: 5:   14 Parallel Lines Postulate
  218.    wt: 5:   13 Angle Side Angle Failure
  219.    wt: 5:   12 Side Angle Side Failure
  220.    wt: 5:   11 Triangle Construction Fails
  221.    wt: 5:   10 Dropping a perpendicular to line
  222.    wt: 5:   9 Construction of a right bisector
  223.    wt: 5:   8 Isoceles Triangles
  224.    wt: 5:   7 Angle Side Angle
  225.    wt: 5:   5 Side Angle Side
  226.    wt: 5:   4 Side Side Side
  227.    wt: 5:   3 Isometry of Triangles Congruence
  228.    wt: 5:   2 Correspondence between Triangles
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 5:   5 Interpreting and Drawing Maps and Plans.
  232.    wt: 4:   1 More and Less Than for Counts and Measures
  233.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  234.    wt: 4:   6. Counting and adding units and mixed units
  235.    wt: 3:   13 Arrows and Vectors in a Plane
  236.    wt: 3:   2 More and Less Than for Counts and Measures
  237.    wt: 3:   2 More and Less Than with Unlike Signs
  238.    wt: 3:   1 Squares and Square Roots Introduction
  239.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  240.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  241.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  242.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  243.    wt: 3:   7 GCD and LCM from prime factorization
  244.    wt: 3:   4 LCM of 8 and 10 via Prime
  245.    wt: 3:   3 Counting with Tables and Trees II
  246.    wt: 3:   2 Counting with Tables and Trees I
  247.    wt: 3:   1 Counting and Counting Methods I
  248.    wt: 3:   3 signed coordinates for maps and planes
  249.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  250.    wt: 3:   3 Multiplying Units and Numbers
  251.    wt: 3:   2 Equality and Units
  252.    wt: 3:   1 Addition and Subtraction with Units
  253.    wt: 3:   B Fractions and Two Term Ratios
  254.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  255.    wt: 3:   21 Reciprocals for Fractions and Wholes
  256.    wt: 3:   17 Efficient Ways to Add and Subtract
  257.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  258.    wt: 3:   14 Adding and Subtracting with Like Denominators
  259.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  260.    wt: 3:   9 Improper Fractions and Mixed Numbers
  261.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  262.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  263.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  264.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  265.    wt: 3:   8 What skills and work habits to require
  266.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  267.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  268.    wt: 3:   2 Identifying Size and Position Place and Spatial Sense
  269.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  270.    wt: 2:   Maps Plans Drawings
  271.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  272.    wt: 2:   B Decimal Comparison and Subtraction
  273.    wt: 2:   2 Combing Counts Addition Skills and Principles
  274.    wt: 2:   4 Rates Ratios and Proporitionality
  275.    wt: 2:   6 Equations and Systems Equivalent or Implied
  276.    wt: 2:   4 Subtraction and Division Axioms
  277.    wt: 2:   2 Addition and Multiplication Axioms
  278.    wt: 2:   3 More and Less Than with Unlike Signs
  279.    wt: 2:   8 Coordinates for Maps and Planes
  280.    wt: 2:   3 Geometric Formulas and Function Notation
  281.    wt: 2:   1 Formulas Dependence and Function Notation
  282.    wt: 2:   4 Greater More Less Than Signs in General
  283.    wt: 2:   3 Comparison of Negative Numbers
  284.    wt: 2:   5 Square Roots with primes more still
  285.    wt: 2:   4 Square Roots with primes more
  286.    wt: 2:   3 Properties of Square Roots with example
  287.    wt: 2:   2 Square Roots with Prime
  288.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  289.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  290.    wt: 2:   13 GCD from given Prime Factorization
  291.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
  292.    wt: 2:   8 GCD from Euclidean Algorithm
  293.    wt: 2:   6 GCD from Prime
  294.    wt: 2:   5 Common Divisors 60 45 via Prime
  295.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  296.    wt: 2:   2 Least Common Multiple LCM intro via list method
  297.    wt: 2:   1 Least Common Multiples LCM Introduction
  298.    wt: 2:   12 GCD 2700 288 via Prime
  299.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  300.    wt: 2:   4 Counting with Trees Product Rule Take I
  301.    wt: 2:   11 What are real lengths and numbers
  302.    wt: 2:   7 negative and additive inverse
  303.    wt: 2:   5 lengths and signs of numbers
  304.    wt: 2:   2 signed and unsigned numbers as coordinates
  305.    wt: 2:   7 Converting or Changing Units
  306.    wt: 2:   6 Simplification of Fractions with Units
  307.    wt: 2:   4 Fractions with Units
  308.    wt: 2:   D Three Term Ratios
  309.    wt: 2:   22 Complex Compound Fractions
  310.    wt: 2:   21 Working With Signs
  311.    wt: 2:   20 Dividing Fractions the Why
  312.    wt: 2:   19 Dividing Fractions How TO
  313.    wt: 2:   18 Efficient Ways to Multiply
  314.    wt: 2:   16 Addition Subtraction Comparision Compared
  315.    wt: 2:   13 Fraction Comparison Algebraic View
  316.    wt: 2:   12 Fraction Comparison
  317.    wt: 2:   11 Simplification an Algebraic View
  318.    wt: 2:   8 Numerals Fractionals Quantals Take II
  319.    wt: 2:   7 Numerals Fractionals Quantals
  320.    wt: 2:   6 Multiplication of Mixed Numbers
  321.    wt: 2:   6 Multiplication Algebraically Take II
  322.    wt: 2:   5 Equivalent Fractions
  323.    wt: 2:   4 Fraction Multiplication
  324.    wt: 2:   3 Unit fraction of a fraction
  325.    wt: 2:   2 Unit Fraction Multiplication
  326.    wt: 2:   1 What is a fraction Take II
  327.    wt: 2:   1 What is a fraction
  328.    wt: 2:   Fraction Operations by Raising Terms A Simple Innovation
  329.    wt: 2:   11 Adding Integers Formulas and Examples
  330.    wt: 2:   5 Zero Movement and Additive Inverses
  331.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
  332.    wt: 2:   26 Divisibility by 2 3 5 Example
  333.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  334.    wt: 2:   24 Divisibility Tests for 2 3 5 9 10
  335.    wt: 2:   23 Remainder Arithmetic Modulo 2
  336.    wt: 2:   22 Remainder Arithmetic Modulo 3 more
  337.    wt: 2:   21 Remainder Arithmetic Modulo 3
  338.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  339.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  340.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  341.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  342.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  343.    wt: 2:   15 Remainder Arithmetic Modulo 9 Example
  344.    wt: 2:   14 Remainder Arithmetic Modulo 9 Example
  345.    wt: 2:   13 Remainder Arithmetic Modulo 5 Example
  346.    wt: 2:   12 Remainder Arithmetic Modulo 10 Example
  347.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
  348.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
  349.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
  350.    wt: 2:   8 Remainder Arithmetic Morulo 5 Examples II
  351.    wt: 2:   7 Remainder Arithmetic Modulo 5 Examples I
  352.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
  353.    wt: 2:   5 Remainder Arithmetic Modulo 5
  354.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  355.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  356.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
  357.    wt: 2:   1 Remainder Arithmetic Modulo 10
  358.    wt: 2:   17 Identify and Count Factors using Primes
  359.    wt: 2:   12 LCD GCD and LCM using Primes
  360.    wt: 2:   7 Calculator Usage Notes and Cautions
  361.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  362.    wt: 2:   5 Prime Factorization and a Square Rule
  363.    wt: 2:   3 video Primes and Composites from 9 times table
  364.    wt: 2:   2 Prime and Composites less than 16
  365.    wt: 2:   Division with Counts and Length
  366.    wt: 2:   Long Division forwards and backwards Example 3
  367.    wt: 2:   Long Division forwards and backwards Example 2
  368.    wt: 2:   Long Division forwards and backwards Example 1
  369.    wt: 2:   10 Division by Five Long and Short Ways
  370.    wt: 2:   4 Two and Three Digit Multipliers
  371.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  372.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  373.    wt: 2:   Subtraction with J Conversions Example
  374.    wt: 2:   Subtraction Another Video Lesson
  375.    wt: 2:   9 22 Minute Subtraction Review Video
  376.    wt: 2:   8 Subtraction with Units of Measure
  377.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  378.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  379.    wt: 2:   5 A Tip for Efficent Subtraction
  380.    wt: 2:   2 Subtraction Easy Case Examples
  381.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  382.    wt: 2:   7 Adding decimal fractions using decimal point
  383.    wt: 2:   5. How to add decimals C. Examples
  384.    wt: 2:   4. How to add with decimals B with conversions
  385.    wt: 2:   3. How to add with decimals A sans conversions
  386.    wt: 2:   2 Decimal Counting Practices
  387.    wt: 2:   1. Explaining Addition Table
  388.    wt: 2:   11 Place Value SI Standard International way
  389.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  390.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  391.    wt: 2:   Quick history of numbers and algebra
  392.    wt: 2:   Exact Arithmetic Wholes and Fractions
  393.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  394.    wt: 2:   Example 1. Area Between x and x squared
  395.    wt: 2:   38 Formulas and derivatives for powers and roots
  396.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  397.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  398.    wt: 2:   9 Limits Continuity and Composition
  399.    wt: 2:   5 Jumps and absence of unlimited error control
  400.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  401.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  402.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  403.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  404.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  405.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  406.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  407.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  408.    wt: 2:   O On Learning Mathematics and Science
  409.    wt: 2:   N Improving Marks on Tests and Finals
  410.    wt: 2:   J. More on written work and showing skill
  411.    wt: 2:   I. Logic and language skills
  412.    wt: 2:   H Jigsaw puzzles and problem solving
  413.    wt: 2:   G. Written work formats for developing and showing skill
  414.    wt: 2:   E. When and how to correct errors
  415.    wt: 2:   How to Build Skills and Confidence
  416.    wt: 2:   7 Games and Activities for Instruction
  417.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  418.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  419.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  420.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  421.    wt: 1:   Appendix 1 primary and preschool mathematic
  422.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  423.    wt: 1:   7 logic review and decimals an odd combination
  424.    wt: 1:   5 logarithms and exponentials etc
  425.    wt: 1:   About site lesson plans
  426.    wt: 1:   key notes and themes
  427.    wt: 1:   what should be learnt and When
  428.    wt: 1:   standards for course material
  429.    wt: 1:   Education in mathematics science and technology
  430.    wt: 1:   Motivation and Context Problem
  431.    wt: 1:   fairness and inductive principles for instruction
  432.    wt: 1:   Home Tutoring and Home Schooling
  433.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  434.    wt: 1:   24 Standards For Skill Develoment Take II
  435.    wt: 1:   24 Standards For Skill Develoment
  436.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  437.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  438.    wt: 1:   17 Math Booklets for children and young teenagers
  439.    wt: 1:   14 Multiplication and Times Tables
  440.    wt: 1:   13 Addition and Addition Tables
  441.    wt: 1:   12 Goals and Objectives For Mathematics
  442.    wt: 1:   11 Help and Defend Your Child or Teens Education
  443.    wt: 1:   5 Patience Please for Yourself and Your Charges
  444.    wt: 1:   4 Learning Takes Time and Effort
  445.    wt: 1:   2 Reading and Writing Skills
  446.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  447.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  448.    wt: 1:   26 Function definitions done and coming
  449.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  450.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  451.    wt: 1:   19 Horizontal line rule and method
  452.    wt: 1:   18 Vertical Line Rule and Method
  453.    wt: 1:   17 Function maxima minima and their location
  454.    wt: 1:   11 Function Domain Range Source and Targets
  455.    wt: 1:   8 Set view of relations and functions
  456.    wt: 1:   6 Set Existence Formation and Notation
  457.    wt: 1:   4 Function notation in and beyond mathematics
  458.    wt: 1:   9 quadratics physical and further context
  459.    wt: 1:   11 Growth and Decay in Biology
  460.    wt: 1:   10 Exponential Growth and Decay Models
  461.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  462.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  463.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  464.    wt: 1:   A Modular and Remainder Arithmetic
  465.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  466.    wt: 1:   19 Signed Multiples of Vectors
  467.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  468.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  469.    wt: 1:   11 Signed Number Addition and Addition Properties
  470.    wt: 1:   8 Division and Mulplication of Compound Fractions
  471.    wt: 1:   E Long Division Methods more
  472.    wt: 1:   D Long Division Methods
  473.    wt: 1:   C Three Decimal Subtraction Methods
  474.    wt: 1:   A Decimal Addition Columm Methods
  475.    wt: 1:   8 Column Multiplication Methods in General
  476.    wt: 1:   7 Decimals Multiplication Methods Examples
  477.    wt: 1:   6 Column Methods for Decimal Multiplication
  478.    wt: 1:   5 Distributive Law for Whole Numbers
  479.    wt: 1:   4 Commutative Law Groups Counting Form
  480.    wt: 1:   3 Multiplicative Counting Skills Principles
  481.    wt: 1:   1 The Counting Origins of Numbers
  482.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  483.    wt: 1:   5 Proportionality in Equivalent Fractions
  484.    wt: 1:   3 Proportionality Examples
  485.    wt: 1:   2 Algebraic View
  486.    wt: 1:   1 What is Proportionality
  487.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  488.    wt: 1:   6 Compound Interest Forward and Backwards
  489.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  490.    wt: 1:   5 Equality in Algebra
  491.    wt: 1:   3 Product Axioms Two Forms
  492.    wt: 1:   1 Equivalent Computation Rules
  493.    wt: 1:   5 Greater More Less Than Signs in General
  494.    wt: 1:   4 Comparison of Negative Numbers
  495.    wt: 1:   1 Real Numbers Comparison
  496.    wt: 1:   10 Real Number Lengths and Signs
  497.    wt: 1:   1 Whole and Natural Numbers
  498.    wt: 1:   5 Independent versus Dependent Variables
  499.    wt: 1:   4 Changing Letters
  500.    wt: 1:   2 Computation Rules Evaluation
  501.    wt: 1:   3 GE III Equation Addition and Multiplication
  502.    wt: 1:   Skill Development Notes
  503.    wt: 1:   10 One Example
  504.    wt: 1:   9 Three Examples
  505.    wt: 1:   8 One Example
  506.    wt: 1:   7 Two Examples
  507.    wt: 1:   6 Three Examples
  508.    wt: 1:   5 Three Examples
  509.    wt: 1:   4 Two Examples
  510.    wt: 1:   3 Two Examples
  511.    wt: 1:   2 Three Examples
  512.    wt: 1:   1 Written work formats for developing and showing skill
  513.    wt: 1:   9 Sets in Probability and Statistics
  514.    wt: 1:   5 Talking about Numbers and Quantities
  515.    wt: 1:   4 A Brief Story of numbers and algebra
  516.    wt: 1:   arithmetic videos Real Player Format
  517.    wt: 1:   10 dividing signed numbers
  518.    wt: 1:   9 subtracting signed numbers
  519.    wt: 1:   8 multiplying signed numbers
  520.    wt: 1:   6 adding signed numbers
  521.    wt: 1:   4 signed coordinates for regions in space
  522.    wt: 1:   D Remainders Modulo 11 Pair Rule
  523.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  524.    wt: 1:   B Integer Long Division Multiple Choices
  525.    wt: 1:   A Associative Law Theorectical Note
  526.    wt: 1:   13 Subtraction with Additive Inverse
  527.    wt: 1:   12 Adding Integers More Examples
  528.    wt: 1:   10 Integer Multiplication Formulas
  529.    wt: 1:   9 Multiplying Integers
  530.    wt: 1:   8 Multiplication by Signed Numbers Integers
  531.    wt: 1:   7 Multiplication by Signs
  532.    wt: 1:   6 Multiplication by Natural Numbers
  533.    wt: 1:   4 Adding Movements wiht opposite directions
  534.    wt: 1:   3 Adding Movements with same direction
  535.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  536.    wt: 1:   1 Integers as Coordinates
  537.    wt: 1:   20 Uniqueness of Prime Factorization
  538.    wt: 1:   19 video Prime Factorization Unique
  539.    wt: 1:   18 video Count Factors given Prime Factorization
  540.    wt: 1:   16 video Factors of 980 using prime
  541.    wt: 1:   15 video Factors of 20 using Prime Factorization
  542.    wt: 1:   14 video Factors of 24 Take II
  543.    wt: 1:   13 video Factors of 24 using prime
  544.    wt: 1:   11 Efficient Square Rule Use
  545.    wt: 1:   10 video Prime Factorization upto 23 squared
  546.    wt: 1:   9 video Prime Factorization upto 19 squared
  547.    wt: 1:   8 video Prime Factorization upto 19
  548.    wt: 1:   4 video Prime Factorization Introduction
  549.    wt: 1:   1 video how Products are bigger than factor
  550.    wt: 1:   Long Division Backwards more
  551.    wt: 1:   Long Division Backward
  552.    wt: 1:   12 Why Long Division Works Take III
  553.    wt: 1:   11 Another Single Digit Divisor Example
  554.    wt: 1:   9 Why Long Division Works Take II
  555.    wt: 1:   8 Correcting the Mistake
  556.    wt: 1:   7 Long Divison Mistake Catching
  557.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  558.    wt: 1:   5 Long Division Include Zeroes or not
  559.    wt: 1:   4 Division with 2 Digit Divsors
  560.    wt: 1:   3 Division Single Digit Divisor Example
  561.    wt: 1:   2 Division with Single Digit Divisors
  562.    wt: 1:   1 Divsion Physical Examples
  563.    wt: 1:   D Decimal Multiplication Methods Derived
  564.    wt: 1:   C Counting Areas with Powers of Ten
  565.    wt: 1:   B Powers of Ten
  566.    wt: 1:   A Elementary Basis for Multiplication Methods
  567.    wt: 1:   6 Multiplication Commutes Order Not Important
  568.    wt: 1:   5 Decimal Fraction Multiplication
  569.    wt: 1:   3 More One Digit Multipliers
  570.    wt: 1:   2 One Digit Multipliers
  571.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  572.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  573.    wt: 1:   Video Power Notation in Decimal Expansion
  574.    wt: 1:   1 Why 3 times 5 gives 15
  575.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  576.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  577.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  578.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  579.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  580.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  581.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  582.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  583.    wt: 1:   Formula Evaluation how to show work
  584.    wt: 1:   Expression Evaluation how to show work
  585.    wt: 1:   The 20 Times Table
  586.    wt: 1:   The 12 Times Table Visually
  587.    wt: 1:   About folder contents
  588.    wt: 1:   015 School and work day counting tables
  589.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  590.    wt: 1:   4 Mixing and Changing Units of Time
  591.    wt: 1:   3 Units and Lengths of Time
  592.    wt: 1:   2 Time and Date Matters in School
  593.    wt: 1:   Example 2 volume of a cone
  594.    wt: 1:   Example 1 volume of a pyramid
  595.    wt: 1:   Volume of Solid by Cross Sections Lesson
  596.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  597.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  598.    wt: 1:   Example 4 with x function of y
  599.    wt: 1:   Example 3
  600.    wt: 1:   Example 2
  601.    wt: 1:   Example 1
  602.    wt: 1:   Area Between Curves Lesson Take 2
  603.    wt: 1:   Area Between Curves Lesson Take 1
  604.    wt: 1:   Summary
  605.    wt: 1:   17 Derivatives of quotients of sine and cosine
  606.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  607.    wt: 1:   15 sine and cosine derivatives 3rd step
  608.    wt: 1:   14 sine and cosine derivatives 2nd step
  609.    wt: 1:   13 sine and cosine derivatives 1st step
  610.    wt: 1:   11 Limits at infinity Three Examples
  611.    wt: 1:   10 Three one sided limits with infinite values
  612.    wt: 1:   8 Four Animated Examples
  613.    wt: 1:   7 Evaluation by immediate or delayed substitution
  614.    wt: 1:   6 Continuity at a point
  615.    wt: 1:   4 Numerical properties
  616.    wt: 1:   3 Decimal insights for limits continuity convergence
  617.    wt: 1:   2 Algebraic codification
  618.    wt: 1:   1 Numerical introduction
  619.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  620.    wt: 1:   PostScript For and Against Decimal Perspectives
  621.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  622.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  623.    wt: 1:   Chapter 23 Links To Trigonometry
  624.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  625.    wt: 1:   Chapter 12. Units and Slopes
  626.    wt: 1:   Chapter 10 Slopes and Units
  627.    wt: 1:   Chapter 7 Slopes and Velocity
  628.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  629.    wt: 1:   Chapter 2. Slopes and Ski Trails
  630.    wt: 1:   Appendix E. How To Study Mathematics and Why
  631.    wt: 1:   Appendix D. What to do in School and Why
  632.    wt: 1:   Chapter 31 Direct and Indirect Reason
  633.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  634.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  635.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  636.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  637.    wt: 1:   Chapter 20. Degrees and Radians
  638.    wt: 1:   Chapter 19. Functions and Sets
  639.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  640.    wt: 1:   Chapter 12. Shorthand Usage Guide
  641.    wt: 1:   Chapter 11. Why Shorthand
  642.    wt: 1:   Chapter 10 Describing and Changing Calculations
  643.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  644.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  645.    wt: 1:   Chapter 2 For and Against Mathematics
  646.    wt: 1:   Postscript B More on Story Telling and Reason
  647.    wt: 1:   Chapter 24 Direct and Indirect Reason
  648.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  649.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  650.    wt: 1:   Chapter 18 Sense and Knowledge
  651.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  652.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  653.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  654.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  655.    wt: 1:   S Adding words to algebra
  656.    wt: 1:   R Why Learn Mathematics Skills
  657.    wt: 1:   N Mathematics Prepare for College Studies
  658.    wt: 1:   M Words to extend arithmetic
  659.    wt: 1:   L Skills with take home value
  660.    wt: 1:   H more Routine to non routine problem solving
  661.    wt: 1:   F. The student teacher tutor feedback loop
  662.    wt: 1:   D. Check work a must with a caution
  663.    wt: 1:   C. Domino effect of being careful
  664.    wt: 1:   B. Domino effect of errors
  665.    wt: 1:   A. Skill has to be seen to believed
  666.    wt: 1:   Chapter 8 Skipped Topics and Why
  667.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  668.    wt: 1:   Chapter 6 More Algebra and Geometry
  669.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  670.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  671.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  672.    wt: 1:   Helping the Blind in Logic and Mathematics
  673.    wt: 1:   More Algebra and Slope based Calculus Preview
  674.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  675.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  676.    wt: 1:   The Math Forum and Site Content
  677.    wt: 11:   3 Lengths and Areas on Maps and Plans
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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