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.

Home << Search

[1] [2] [3] [4]

Key Word Search

Folder Search

44 matches:

  1.    wt: 7:   11 Parallel Straight Lines and Transversals/
  2.    wt: 7:   10 Intersecting Straight Lines and Transversals/
  3.    wt: 7:   9 Lines and Slopes Take 2 with tangent function/
  4.    wt: 7:   4 Lines and Slopes Take 1/
  5.    wt: 7:   1 Maps Plans Measurement/
  6.    wt: 6:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 6:   13 Vectors/
  8.    wt: 6:   12 Function Translating and Rescaling/
  9.    wt: 6:   8 Unit Circle Trigonometry/
  10.    wt: 6:   6 Trigonometry first steps/
  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

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

Extended Search

679 matches:

  1.    wt: 9:   Parallel Lines and Parallel Transversals
  2.    wt: 9:   Parallel Lines and Alternating Corresponding Angles
  3.    wt: 9:   Parallel Lines and Interior Angles
  4.    wt: 9:   Construction Methods and Criteria for Isometric and Similar Triangles
  5.    wt: 9:   1 Numerical view of lines and their equations
  6.    wt: 9:   4 Angles on Maps Plans drawn to scale
  7.    wt: 8:   Straight Lines ASA Intersection Study More
  8.    wt: 8:   Straight Lines ASA Intersection Study
  9.    wt: 8:   Straight Lines Instersection Solving Equations
  10.    wt: 8:   Straight Lines Intersection of
  11.    wt: 8:   D Straight Lines Slope from Coordinates Examples
  12.    wt: 8:   C Straight Lines Slope from Coordinates
  13.    wt: 8:   14 Straight Lines Equations General Case
  14.    wt: 8:   13 Straight Lines Finding Equations from 2 points
  15.    wt: 8:   12 Straight Lines Graphing mx plus b
  16.    wt: 8:   11 Straight Lines Graphing y=mx
  17.    wt: 8:   10 Straight Lines through Origin Equations More
  18.    wt: 8:   9 Straight Lines through Origin Equations
  19.    wt: 8:   8 Straight Lines Equation for vertical
  20.    wt: 8:   3 Straight Lines Slope as Tangent of Inclination Angle
  21.    wt: 8:   2 Straight Lines Slopes As Rise Over Run
  22.    wt: 8:   1 Straight Lines Slope Concept
  23.    wt: 8:   14 cosine even and sine and tangent are odd
  24.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  25.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  26.    wt: 8:   10 Midpoint of [a b] and [b a]
  27.    wt: 8:   7 Exercises to test skill and concept mastery
  28.    wt: 8:   6 Intersection of lines by solving linear systems
  29.    wt: 8:   4 Equations for lines three forms
  30.    wt: 8:   3 Slope product for perpendicular lines
  31.    wt: 8:   What is and is not here
  32.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  33.    wt: 8:   6 Figuring with Maps Not to Scale
  34.    wt: 7:   9 Summary Degrees to Radians and back
  35.    wt: 7:   1 Degrees and Radians Introduction
  36.    wt: 7:   A Global Time and Navigation
  37.    wt: 7:   15 Dot and Cross Product
  38.    wt: 7:   13 Velocity Vectors in Physics
  39.    wt: 7:   8 Parallel Vectors
  40.    wt: 7:   7 Coordinate Addition and Scalar Multiplication
  41.    wt: 7:   6 Vectors with Coordinates
  42.    wt: 7:   3 Navigation with Arrows or Vectors
  43.    wt: 7:   Vector and Complex Number Applet
  44.    wt: 7:   Proportionality of Line Segments From Parallel Transversals
  45.    wt: 7:   Triangle Angles Sum To 180 Degrees
  46.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  47.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  48.    wt: 7:   B Straight Line Slope Scaling Properties More
  49.    wt: 7:   A Straight Line Slope Scaling Properties
  50.    wt: 7:   7 Tangent Function is odd on this domain
  51.    wt: 7:   6 Tangent Function Inclination Angle Take 2
  52.    wt: 7:   5 Tangent Function Graph
  53.    wt: 7:   4 Tangent Function Properties
  54.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  55.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  56.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  57.    wt: 7:   29 secant cosecant and cotangent for acute angles
  58.    wt: 7:   27 Logarithmic use of products of sines and cosines
  59.    wt: 7:   26 Formulas for products of sines and cosines
  60.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  61.    wt: 7:   21 sine and cosine Half Angle Formulas
  62.    wt: 7:   20 sine and cosine Double Angle Formulas
  63.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  64.    wt: 7:   17E Trig Formulas for dot and cross Products
  65.    wt: 7:   17D cis formulas for sine cosines and tangent
  66.    wt: 7:   17C sine and cosine double triple angle formulas
  67.    wt: 7:   10 Graphs of sines and cosines many periods
  68.    wt: 7:   9 Graphs of sine and cosine over one period
  69.    wt: 7:   7 period of sine and cosine
  70.    wt: 7:   6 sines and cosines for reference angle 30 degrees
  71.    wt: 7:   5 sines and cosines for reference angle 60 degrees
  72.    wt: 7:   4 sines and cosines for reference angle 45 degrees
  73.    wt: 7:   3 sines and cosines for reference angle 90 degrees
  74.    wt: 7:   Unit Circle Development of Trigonometry
  75.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  76.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  77.    wt: 7:   3 Trigonometric Ratios sine and cosine
  78.    wt: 7:   Why Trigonometry the whyslopes view
  79.    wt: 7:   Four Simple Exercises
  80.    wt: 7:   12 Links Lessons elsewhere
  81.    wt: 7:   11 A Partial Summary
  82.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
  83.    wt: 7:   8 Mid Point Formula
  84.    wt: 7:   5 Algebraic View of Slopes
  85.    wt: 7:   2 point slope equation for a line
  86.    wt: 7:   6 Polar Multiplication and Rotation
  87.    wt: 7:   5 Cartesian Addition and Translation
  88.    wt: 7:   4 Polar Coordinates to and from
  89.    wt: 7:   A Measurement with Ruler Proper Use
  90.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  91.    wt: 7:   2 Measuring Area Directly
  92.    wt: 7:   1 Length Measurement
  93.    wt: 6:   16 cotangent function Definition Graph and Inverse
  94.    wt: 6:   15 cosecant function Definition Graph and Inverse
  95.    wt: 6:   14 secant function Definition Graph and Inverse
  96.    wt: 6:   13 cosecant function Definition Graph and Inverse
  97.    wt: 6:   8 Radian Measures of Common Angles
  98.    wt: 6:   7 Radian Measures in special Triangles
  99.    wt: 6:   6 Radian Measure to Degrees
  100.    wt: 6:   5 Degrees to Radian Measure
  101.    wt: 6:   4 Circle Sector Area proportional to Central Angle
  102.    wt: 6:   3 Circle Arclengh Proportional to Central Angle
  103.    wt: 6:   2 Radian Measure Numerical Value of one degree
  104.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  105.    wt: 6:   12 From Applied To Pure Mathematics
  106.    wt: 6:   11 Component Method
  107.    wt: 6:   10 Parallelogram Addition Method
  108.    wt: 6:   9 Head to Tail Coordinate View
  109.    wt: 6:   5 Head To Tail Arrow Addition
  110.    wt: 6:   4 Resultant of a Sum of Movements
  111.    wt: 6:   2 Signed Coordinates
  112.    wt: 6:   1 Unsigned Coordinates
  113.    wt: 6:   4 graphing y=Asin(x c)
  114.    wt: 6:   3 graphing y=f(x c) plus K
  115.    wt: 6:   2 Graphing y=Af(x) Vertical Scaling
  116.    wt: 6:   1 graphing y=f(x a)
  117.    wt: 6:   17 tangent function angle sum formulas
  118.    wt: 6:   32 seven rows of pascals triangle
  119.    wt: 6:   31 basic secant cosecant cotangent trig identities
  120.    wt: 6:   30 unit circle calculation of six trigonometric functions
  121.    wt: 6:   28 Expressing products of sines cosines as sums
  122.    wt: 6:   25 tangent double angle formula Slope connection
  123.    wt: 6:   24 tangent Angle Difference Formula
  124.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  125.    wt: 6:   18 sum of sinusoidal waves as a single wave
  126.    wt: 6:   17G Pythagorean Theorem Converse
  127.    wt: 6:   17F Law of cosines
  128.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  129.    wt: 6:   17A The complex number valued trig function cis
  130.    wt: 6:   16 Right Triangle Complementary Angle Relations
  131.    wt: 6:   15 sine cosine Complementary Angle Relations
  132.    wt: 6:   13 Graph of tangent function many periods
  133.    wt: 6:   12 Graph of tangent function for one period
  134.    wt: 6:   11 tangent function undefined when terminal side vertical
  135.    wt: 6:   8 period of tangent function
  136.    wt: 6:   2 Quadrant I reference Angles
  137.    wt: 6:   1 Unit Points Reflections Rotations
  138.    wt: 6:   21 Logarithms Powers and Exponentials
  139.    wt: 6:   16 References and Originality Question
  140.    wt: 6:   13 Trig Formulas for dot and cross Products
  141.    wt: 6:   12 cis formulas for sine cosines and tangent
  142.    wt: 6:   11 sine and cosine double triple angle formulas
  143.    wt: 6:   8 Unit Circle Development of Trigonometry
  144.    wt: 6:   8 Triangles Cascade Problem Solving
  145.    wt: 6:   7 Trignometric Ratios Unit Circle
  146.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  147.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  148.    wt: 6:   1 Angle Measurement with Degrees
  149.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  150.    wt: 6:   8 Similarity of Triangles and Polygons
  151.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  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:   14 Parallel Lines Postulate
  165.    wt: 6:   6 Ruler and compass Angle Bisection
  166.    wt: 6:   1 Initial Concepts and Terms
  167.    wt: 5:   12 motivation for term arctan
  168.    wt: 5:   11 arctan left inverse of tangent Graph
  169.    wt: 5:   10 arctan left inverse of tangent Definition
  170.    wt: 5:   9 motivation for name arcsin
  171.    wt: 5:   8 arcsin left inverse of sine Graph
  172.    wt: 5:   7 arcsin left inverse of sine Definition
  173.    wt: 5:   6 Graph of arccos function
  174.    wt: 5:   5 Swapping Coordinates is a reflection
  175.    wt: 5:   4 possible motivation for term arccos
  176.    wt: 5:   3 Left Inverse of cosine arccos definition
  177.    wt: 5:   2 cosine function more properties
  178.    wt: 5:   1 cosine function properties
  179.    wt: 5:   20 N th Roots of Complex Numbers
  180.    wt: 5:   19 N th Roots of Unity
  181.    wt: 5:   18 Sixth Roots of Unity
  182.    wt: 5:   17 Cube Roots of unity
  183.    wt: 5:   15 Pythagorean Theorem Converse
  184.    wt: 5:   14 Law of cosines
  185.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  186.    wt: 5:   9 The complex number valued trig function cis
  187.    wt: 5:   7 Second Way to Calculate Products
  188.    wt: 5:   6 Field Properties of Complex Number
  189.    wt: 5:   5 An Easy Proof of the Distributive Law
  190.    wt: 5:   4 Multiplication Properties
  191.    wt: 5:   3 Addition Properties
  192.    wt: 5:   2 Complex Numbers made easier we hope
  193.    wt: 5:   1 Rectangular Polar Coordinates Review
  194.    wt: 5:   Appetizer A Complex Number Applet
  195.    wt: 5:   12 Triangles Similarity More Problems
  196.    wt: 5:   11 Triangle Similarity Missing Side Problem
  197.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  198.    wt: 5:   9 Similarity of Triangles Usual Criteria
  199.    wt: 5:   7 Translations Rotations Reflections Dilatations
  200.    wt: 5:   6 Geometric Diagrams in Class
  201.    wt: 5:   4 Similarity Definition with Coordinate
  202.    wt: 5:   3 Similarity by Design with coordinates
  203.    wt: 5:   2 Similarity By Design
  204.    wt: 5:   1 Early Concept of Like or Similar Shapes
  205.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  206.    wt: 5:   PS H Distributive Law For Complex Numbers
  207.    wt: 5:   PS G Rotation Distributes over Addition
  208.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  209.    wt: 5:   PS E Multiplication with Polar Coordinates
  210.    wt: 5:   PS D Addition with Cartesian Coordinates
  211.    wt: 5:   PS B Parallelogram Construction Methods
  212.    wt: 5:   PS A Kite Construction Methods
  213.    wt: 5:   21 Parallelograms
  214.    wt: 5:   19 Right Triangle Similarity
  215.    wt: 5:   18 Triangle Similarity Take 1
  216.    wt: 5:   17 Right Bisectors of Triangle Sides
  217.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  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:   2 More and Less Than for Counts and Measures
  236.    wt: 3:   2 More and Less Than with Unlike Signs
  237.    wt: 3:   1 Squares and Square Roots Introduction
  238.    wt: 3:   17 GCD LCM of 85 and 60 via Prime
  239.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  240.    wt: 3:   10 Euclid Algorithm with 129 125 and with 45 14
  241.    wt: 3:   9 GCD of 360 110 via Primes and Euclid Algorithm
  242.    wt: 3:   7 GCD and LCM from prime factorization
  243.    wt: 3:   4 LCM of 8 and 10 via Prime
  244.    wt: 3:   3 Counting with Tables and Trees II
  245.    wt: 3:   2 Counting with Tables and Trees I
  246.    wt: 3:   1 Counting and Counting Methods I
  247.    wt: 3:   3 signed coordinates for maps and planes
  248.    wt: 3:   5 Reciprocals and Division for Fractions with Units
  249.    wt: 3:   3 Multiplying Units and Numbers
  250.    wt: 3:   2 Equality and Units
  251.    wt: 3:   1 Addition and Subtraction with Units
  252.    wt: 3:   B Fractions and Two Term Ratios
  253.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  254.    wt: 3:   21 Reciprocals for Fractions and Wholes
  255.    wt: 3:   17 Efficient Ways to Add and Subtract
  256.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  257.    wt: 3:   14 Adding and Subtracting with Like Denominators
  258.    wt: 3:   10 Simplification of Fractions and Mixed Numerals
  259.    wt: 3:   9 Improper Fractions and Mixed Numbers
  260.    wt: 3:   A Decimals Modular and Remainder Arithmetic
  261.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  262.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  263.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  264.    wt: 3:   8 What skills and work habits to require
  265.    wt: 3:   Practical Methods Ends and Values for Arithmetic
  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:   13 Arrows and Vectors in a Plane
  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:   Example 1. Area Between x and x squared
  394.    wt: 2:   38 Formulas and derivatives for powers and roots
  395.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  396.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  397.    wt: 2:   9 Limits Continuity and Composition
  398.    wt: 2:   5 Jumps and absence of unlimited error control
  399.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  400.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  401.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  402.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  403.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  404.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  405.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  406.    wt: 2:   P Exact Arithmetic With Whole Numbers and Fractions
  407.    wt: 2:   O On Learning Mathematics and Science
  408.    wt: 2:   N Improving Marks on Tests and Finals
  409.    wt: 2:   J. More on written work and showing skill
  410.    wt: 2:   I. Logic and language skills
  411.    wt: 2:   H Jigsaw puzzles and problem solving
  412.    wt: 2:   G. Written work formats for developing and showing skill
  413.    wt: 2:   E. When and how to correct errors
  414.    wt: 2:   How to Build Skills and Confidence
  415.    wt: 2:   7 Games and Activities for Instruction
  416.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  417.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  418.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  419.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  420.    wt: 1:   Appendix 1 primary and preschool mathematic
  421.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  422.    wt: 1:   7 logic review and decimals an odd combination
  423.    wt: 1:   5 logarithms and exponentials etc
  424.    wt: 1:   About site lesson plans
  425.    wt: 1:   key notes and themes
  426.    wt: 1:   what should be learnt and When
  427.    wt: 1:   standards for course material
  428.    wt: 1:   Education in mathematics science and technology
  429.    wt: 1:   Motivation and Context Problem
  430.    wt: 1:   fairness and inductive principles for instruction
  431.    wt: 1:   Home Tutoring and Home Schooling
  432.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  433.    wt: 1:   24 Standards For Skill Develoment Take II
  434.    wt: 1:   24 Standards For Skill Develoment
  435.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  436.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  437.    wt: 1:   17 Math Booklets for children and young teenagers
  438.    wt: 1:   14 Multiplication and Times Tables
  439.    wt: 1:   13 Addition and Addition Tables
  440.    wt: 1:   12 Goals and Objectives For Mathematics
  441.    wt: 1:   11 Help and Defend Your Child or Teens Education
  442.    wt: 1:   10 Ends values for work study instruction
  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:   16 Collinear Horizontal Arrows Vectors
  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 9 The Two Ends
  645.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  646.    wt: 1:   Chapter 2 For and Against Mathematics
  647.    wt: 1:   Postscript B More on Story Telling and Reason
  648.    wt: 1:   Chapter 24 Direct and Indirect Reason
  649.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  650.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  651.    wt: 1:   Chapter 18 Sense and Knowledge
  652.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  653.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  654.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  655.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  656.    wt: 1:   S Adding words to algebra
  657.    wt: 1:   R Why Learn Mathematics Skills
  658.    wt: 1:   N Mathematics Prepare for College Studies
  659.    wt: 1:   M Words to extend arithmetic
  660.    wt: 1:   L Skills with take home value
  661.    wt: 1:   H more Routine to non routine problem solving
  662.    wt: 1:   F. The student teacher tutor feedback loop
  663.    wt: 1:   D. Check work a must with a caution
  664.    wt: 1:   C. Domino effect of being careful
  665.    wt: 1:   B. Domino effect of errors
  666.    wt: 1:   A. Skill has to be seen to believed
  667.    wt: 1:   Chapter 8 Skipped Topics and Why
  668.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  669.    wt: 1:   Chapter 6 More Algebra and Geometry
  670.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  671.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  672.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  673.    wt: 1:   Helping the Blind in Logic and Mathematics
  674.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  675.    wt: 1:   More Algebra and Slope based Calculus Preview
  676.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  677.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  678.    wt: 1:   The Math Forum and Site Content
  679.    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.

Return to Page Top

Home << Search

[1] [2] [3] [4]

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

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.