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

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits
Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II


Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

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

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

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

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33 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 6:   5 What is Similarity/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   Geometry maps plans trigonometry vectors/
  16.    wt: 2:   D Decimal Long Division Methods/
  17.    wt: 2:   C Decimal Multiplication Methods/
  18.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  19.    wt: 2:   A Decimal Counting and Adding Methods/
  20.    wt: 2:   2 Arithmetic with Decimals/
  21.    wt: 1:   12 Comparison of Unsigned and Signed Numbers/
  22.    wt: 1:   11 Squares and Square Roots/
  23.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  24.    wt: 1:   9 Combinatorics Trees Tables and Products/
  25.    wt: 1:   8 Arithmetic with Signed Numbers/
  26.    wt: 1:   7 Arithmetic and Fractions with Units/
  27.    wt: 1:   6 Fractions and Ratios/
  28.    wt: 1:   5 Integers/
  29.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  30.    wt: 1:   3 Prime Factorization Skills/
  31.    wt: 1:   1 Decimal Place Value/
  32.    wt: 1:   Arithmetic and Number Theory Skills/
  33.    wt: 11:   2 Euclidean Geometry Constructions Theory extras/

Web Page Search

76 matches:

  1.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  2.    wt: 2:   3 Euclidean Geometry Leanly
  3.    wt: 2:   Maps Plans Drawings
  4.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  5.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  6.    wt: 2:   12 Triangles Similarity More Problems
  7.    wt: 2:   11 Triangle Similarity Missing Side Problem
  8.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  9.    wt: 2:   9 Similarity of Triangles Usual Criteria
  10.    wt: 2:   8 Similarity of Triangles and Polygons
  11.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  12.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  13.    wt: 2:   19 Right Triangle Similarity
  14.    wt: 2:   18 Triangle Similarity Take 1
  15.    wt: 2:   Short Course on Euclidean Geometry
  16.    wt: 2:   4 Angles on Maps Plans drawn to scale
  17.    wt: 2:   3 Lengths and Areas on Maps and Plans
  18.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  19.    wt: 1:   Ramblings Extrinsic numbers theory
  20.    wt: 1:   Skills Chapter 2 Geometry
  21.    wt: 1:   8 analytic geometry etc
  22.    wt: 1:   About site lesson plans
  23.    wt: 1:   Theory of Knowledge
  24.    wt: 1:   Ages 12 to 14 Geometry
  25.    wt: 1:   Ages 10 to 12 Geometry
  26.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  27.    wt: 1:   9 Set theory term relation possible origins
  28.    wt: 1:   7 Radian Measures in special Triangles
  29.    wt: 1:   13 Velocity Vectors in Physics
  30.    wt: 1:   8 Parallel Vectors
  31.    wt: 1:   6 Vectors with Coordinates
  32.    wt: 1:   3 Navigation with Arrows or Vectors
  33.    wt: 1:   Triangle Angles Sum To 180 Degrees
  34.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  35.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  36.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  37.    wt: 1:   32 seven rows of pascals triangle
  38.    wt: 1:   16 Right Triangle Complementary Angle Relations
  39.    wt: 1:   Unit Circle Development of Trigonometry
  40.    wt: 1:   8 Unit Circle Development of Trigonometry
  41.    wt: 1:   8 Triangles Cascade Problem Solving
  42.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  43.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  44.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  45.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  46.    wt: 1:   Why Trigonometry the whyslopes view
  47.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  48.    wt: 1:   4 Similarity Definition with Coordinate
  49.    wt: 1:   3 Similarity by Design with coordinates
  50.    wt: 1:   2 Similarity By Design
  51.    wt: 1:   11 Triangle Inequality
  52.    wt: 1:   17 Right Bisectors of Triangle Sides
  53.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  54.    wt: 1:   11 Triangle Construction Fails
  55.    wt: 1:   8 Isoceles Triangles
  56.    wt: 1:   3 Isometry of Triangles Congruence
  57.    wt: 1:   2 Correspondence between Triangles
  58.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  59.    wt: 1:   6 Figuring with Maps Not to Scale
  60.    wt: 1:   19 Signed Multiples of Vectors
  61.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  62.    wt: 1:   13 Arrows and Vectors in a Plane
  63.    wt: 1:   5 Triangle Area Formula Backwards
  64.    wt: 1:   8 Coordinates for Maps and Planes
  65.    wt: 1:   3 Triangle Area Formula Example
  66.    wt: 1:   8 GCD from Euclidean Algorithm
  67.    wt: 1:   3 signed coordinates for maps and planes
  68.    wt: 1:   C Triangle Inequalities
  69.    wt: 1:   Chapter 23 Links To Trigonometry
  70.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  71.    wt: 1:   Chapter 7 Two Treatments of Geometry
  72.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  73.    wt: 1:   Chapter 6 More Algebra and Geometry
  74.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  75.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  76.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics

Extended Search

484 matches:

  1.    wt: 9:   4 Angles on Maps Plans drawn to scale
  2.    wt: 9:   3 Lengths and Areas on Maps and Plans
  3.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  4.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  5.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  6.    wt: 8:   12 Triangles Similarity More Problems
  7.    wt: 8:   11 Triangle Similarity Missing Side Problem
  8.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
  9.    wt: 8:   9 Similarity of Triangles Usual Criteria
  10.    wt: 8:   8 Similarity of Triangles and Polygons
  11.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  12.    wt: 8:   6 Figuring with Maps Not to Scale
  13.    wt: 7:   13 Velocity Vectors in Physics
  14.    wt: 7:   8 Parallel Vectors
  15.    wt: 7:   6 Vectors with Coordinates
  16.    wt: 7:   3 Navigation with Arrows or Vectors
  17.    wt: 7:   2 Signed Coordinates
  18.    wt: 7:   32 seven rows of pascals triangle
  19.    wt: 7:   16 Right Triangle Complementary Angle Relations
  20.    wt: 7:   Unit Circle Development of Trigonometry
  21.    wt: 7:   8 Triangles Cascade Problem Solving
  22.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  23.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  24.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  25.    wt: 7:   Why Trigonometry the whyslopes view
  26.    wt: 7:   5 Similarity of Circles Squares and Rectangles
  27.    wt: 7:   4 Similarity Definition with Coordinate
  28.    wt: 7:   3 Similarity by Design with coordinates
  29.    wt: 7:   2 Similarity By Design
  30.    wt: 7:   A Measurement with Ruler Proper Use
  31.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  32.    wt: 7:   2 Measuring Area Directly
  33.    wt: 7:   1 Length Measurement
  34.    wt: 6:   7 Radian Measures in special Triangles
  35.    wt: 6:   A Global Time and Navigation
  36.    wt: 6:   15 Dot and Cross Product
  37.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  38.    wt: 6:   12 From Applied To Pure Mathematics
  39.    wt: 6:   11 Component Method
  40.    wt: 6:   10 Parallelogram Addition Method
  41.    wt: 6:   9 Head to Tail Coordinate View
  42.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  43.    wt: 6:   5 Head To Tail Arrow Addition
  44.    wt: 6:   4 Resultant of a Sum of Movements
  45.    wt: 6:   1 Unsigned Coordinates
  46.    wt: 6:   Vector and Complex Number Applet
  47.    wt: 6:   Triangle Angles Sum To 180 Degrees
  48.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  49.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  50.    wt: 6:   Analytic View of Triangle Construction or Line Instersection More
  51.    wt: 6:   17 tangent function angle sum formulas
  52.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  53.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  54.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  55.    wt: 6:   31 basic secant cosecant cotangent trig identities
  56.    wt: 6:   30 unit circle calculation of six trigonometric functions
  57.    wt: 6:   29 secant cosecant and cotangent for acute angles
  58.    wt: 6:   28 Expressing products of sines cosines as sums
  59.    wt: 6:   27 Logarithmic use of products of sines and cosines
  60.    wt: 6:   26 Formulas for products of sines and cosines
  61.    wt: 6:   25 tangent double angle formula Slope connection
  62.    wt: 6:   24 tangent Angle Difference Formula
  63.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  64.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  65.    wt: 6:   21 sine and cosine Half Angle Formulas
  66.    wt: 6:   20 sine and cosine Double Angle Formulas
  67.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  68.    wt: 6:   18 sum of sinusoidal waves as a single wave
  69.    wt: 6:   17G Pythagorean Theorem Converse
  70.    wt: 6:   17F Law of cosines
  71.    wt: 6:   17E Trig Formulas for dot and cross Products
  72.    wt: 6:   17D cis formulas for sine cosines and tangent
  73.    wt: 6:   17C sine and cosine double triple angle formulas
  74.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  75.    wt: 6:   17A The complex number valued trig function cis
  76.    wt: 6:   15 sine cosine Complementary Angle Relations
  77.    wt: 6:   14 cosine even and sine and tangent are odd
  78.    wt: 6:   13 Graph of tangent function many periods
  79.    wt: 6:   12 Graph of tangent function for one period
  80.    wt: 6:   11 tangent function undefined when terminal side vertical
  81.    wt: 6:   10 Graphs of sines and cosines many periods
  82.    wt: 6:   9 Graphs of sine and cosine over one period
  83.    wt: 6:   8 period of tangent function
  84.    wt: 6:   7 period of sine and cosine
  85.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  86.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  87.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  88.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  89.    wt: 6:   2 Quadrant I reference Angles
  90.    wt: 6:   1 Unit Points Reflections Rotations
  91.    wt: 6:   8 Unit Circle Development of Trigonometry
  92.    wt: 6:   2 Complex Numbers made easier we hope
  93.    wt: 6:   7 Trignometric Ratios Unit Circle
  94.    wt: 6:   3 Trigonometric Ratios sine and cosine
  95.    wt: 6:   1 Angle Measurement with Degrees
  96.    wt: 6:   13 Navigation Location from Angles to 2 Landmarks
  97.    wt: 6:   7 Translations Rotations Reflections Dilatations
  98.    wt: 6:   6 Geometric Diagrams in Class
  99.    wt: 6:   1 Early Concept of Like or Similar Shapes
  100.    wt: 6:   2 point slope equation for a line
  101.    wt: 6:   11 Triangle Inequality
  102.    wt: 6:   2 Cartesian Coordinates with signs
  103.    wt: 5:   16 cotangent function Definition Graph and Inverse
  104.    wt: 5:   15 cosecant function Definition Graph and Inverse
  105.    wt: 5:   14 secant function Definition Graph and Inverse
  106.    wt: 5:   13 cosecant function Definition Graph and Inverse
  107.    wt: 5:   12 motivation for term arctan
  108.    wt: 5:   11 arctan left inverse of tangent Graph
  109.    wt: 5:   10 arctan left inverse of tangent Definition
  110.    wt: 5:   9 motivation for name arcsin
  111.    wt: 5:   8 arcsin left inverse of sine Graph
  112.    wt: 5:   7 arcsin left inverse of sine Definition
  113.    wt: 5:   6 Graph of arccos function
  114.    wt: 5:   5 Swapping Coordinates is a reflection
  115.    wt: 5:   4 possible motivation for term arccos
  116.    wt: 5:   3 Left Inverse of cosine arccos definition
  117.    wt: 5:   2 cosine function more properties
  118.    wt: 5:   1 cosine function properties
  119.    wt: 5:   9 Summary Degrees to Radians and back
  120.    wt: 5:   8 Radian Measures of Common Angles
  121.    wt: 5:   6 Radian Measure to Degrees
  122.    wt: 5:   5 Degrees to Radian Measure
  123.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  124.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  125.    wt: 5:   2 Radian Measure Numerical Value of one degree
  126.    wt: 5:   1 Degrees and Radians Introduction
  127.    wt: 5:   4 graphing y=Asin(x c)
  128.    wt: 5:   3 graphing y=f(x c) plus K
  129.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  130.    wt: 5:   1 graphing y=f(x a)
  131.    wt: 5:   Parallel Lines and Parallel Transversals
  132.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  133.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  134.    wt: 5:   Parallel Lines and Interior Angles
  135.    wt: 5:   Straight Lines ASA Intersection Study More
  136.    wt: 5:   Straight Lines ASA Intersection Study
  137.    wt: 5:   Straight Lines Instersection Solving Equations
  138.    wt: 5:   Straight Lines Intersection of
  139.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  140.    wt: 5:   C Straight Lines Slope from Coordinates
  141.    wt: 5:   B Straight Line Slope Scaling Properties More
  142.    wt: 5:   A Straight Line Slope Scaling Properties
  143.    wt: 5:   14 Straight Lines Equations General Case
  144.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  145.    wt: 5:   12 Straight Lines Graphing mx plus b
  146.    wt: 5:   11 Straight Lines Graphing y=mx
  147.    wt: 5:   10 Straight Lines through Origin Equations More
  148.    wt: 5:   9 Straight Lines through Origin Equations
  149.    wt: 5:   8 Straight Lines Equation for vertical
  150.    wt: 5:   7 Tangent Function is odd on this domain
  151.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  152.    wt: 5:   5 Tangent Function Graph
  153.    wt: 5:   4 Tangent Function Properties
  154.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  155.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  156.    wt: 5:   1 Straight Lines Slope Concept
  157.    wt: 5:   21 Logarithms Powers and Exponentials
  158.    wt: 5:   20 N th Roots of Complex Numbers
  159.    wt: 5:   19 N th Roots of Unity
  160.    wt: 5:   18 Sixth Roots of Unity
  161.    wt: 5:   17 Cube Roots of unity
  162.    wt: 5:   16 References and Originality Question
  163.    wt: 5:   15 Pythagorean Theorem Converse
  164.    wt: 5:   14 Law of cosines
  165.    wt: 5:   13 Trig Formulas for dot and cross Products
  166.    wt: 5:   12 cis formulas for sine cosines and tangent
  167.    wt: 5:   11 sine and cosine double triple angle formulas
  168.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  169.    wt: 5:   9 The complex number valued trig function cis
  170.    wt: 5:   7 Second Way to Calculate Products
  171.    wt: 5:   6 Field Properties of Complex Number
  172.    wt: 5:   5 An Easy Proof of the Distributive Law
  173.    wt: 5:   4 Multiplication Properties
  174.    wt: 5:   3 Addition Properties
  175.    wt: 5:   1 Rectangular Polar Coordinates Review
  176.    wt: 5:   Appetizer A Complex Number Applet
  177.    wt: 5:   Four Simple Exercises
  178.    wt: 5:   12 Links Lessons elsewhere
  179.    wt: 5:   11 A Partial Summary
  180.    wt: 5:   10 Midpoint of [a b] and [b a]
  181.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  182.    wt: 5:   8 Mid Point Formula
  183.    wt: 5:   7 Exercises to test skill and concept mastery
  184.    wt: 5:   6 Intersection of lines by solving linear systems
  185.    wt: 5:   5 Algebraic View of Slopes
  186.    wt: 5:   4 Equations for lines three forms
  187.    wt: 5:   3 Slope product for perpendicular lines
  188.    wt: 5:   1 Numerical view of lines and their equations
  189.    wt: 5:   What is and is not here
  190.    wt: 5:   13 Pythagorean spatial distance formulas
  191.    wt: 5:   12 Spatial Coordinates
  192.    wt: 5:   10 Pythagorean plane distance formula
  193.    wt: 5:   9 Pythagorean Theorem Chinese Square Proof
  194.    wt: 5:   8 Distance Between Points on a Line
  195.    wt: 5:   7 Complex Numbers Appetizer
  196.    wt: 5:   6 Polar Multiplication and Rotation
  197.    wt: 5:   5 Cartesian Addition and Translation
  198.    wt: 5:   4 Polar Coordinates to and from
  199.    wt: 5:   3 Rectangular Coordinates Review
  200.    wt: 5:   1 Cartesian Coordinates sans signs
  201.    wt: 5:   About Folder Contents
  202.    wt: 3:   2 Division with Single Digit Divisors
  203.    wt: 3:   2 One Digit Multipliers
  204.    wt: 3:   2 Subtraction Easy Case Examples
  205.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  206.    wt: 2:   3 Euclidean Geometry Leanly
  207.    wt: 2:   Maps Plans Drawings
  208.    wt: 2:   2 More and Less Than with Unlike Signs
  209.    wt: 2:   8 GCD from Euclidean Algorithm
  210.    wt: 2:   3 signed coordinates for maps and planes
  211.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  212.    wt: 2:   2 Prime and Composites less than 16
  213.    wt: 2:   Long Division Backwards more
  214.    wt: 2:   Long Division Backward
  215.    wt: 2:   Division with Counts and Length
  216.    wt: 2:   Long Division forwards and backwards Example 3
  217.    wt: 2:   Long Division forwards and backwards Example 2
  218.    wt: 2:   Long Division forwards and backwards Example 1
  219.    wt: 2:   12 Why Long Division Works Take III
  220.    wt: 2:   11 Another Single Digit Divisor Example
  221.    wt: 2:   10 Division by Five Long and Short Ways
  222.    wt: 2:   9 Why Long Division Works Take II
  223.    wt: 2:   8 Correcting the Mistake
  224.    wt: 2:   7 Long Divison Mistake Catching
  225.    wt: 2:   6 Why Decimal Long Division Methods Works Take I
  226.    wt: 2:   5 Long Division Include Zeroes or not
  227.    wt: 2:   4 Division with 2 Digit Divsors
  228.    wt: 2:   3 Division Single Digit Divisor Example
  229.    wt: 2:   1 Divsion Physical Examples
  230.    wt: 2:   D Decimal Multiplication Methods Derived
  231.    wt: 2:   C Counting Areas with Powers of Ten
  232.    wt: 2:   B Powers of Ten
  233.    wt: 2:   A Elementary Basis for Multiplication Methods
  234.    wt: 2:   6 Multiplication Commutes Order Not Important
  235.    wt: 2:   5 Decimal Fraction Multiplication
  236.    wt: 2:   4 Two and Three Digit Multipliers
  237.    wt: 2:   3 More One Digit Multipliers
  238.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  239.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  240.    wt: 2:   Video Power Notation in Decimal Expansion
  241.    wt: 2:   1 Why 3 times 5 gives 15
  242.    wt: 2:   Appendix 2 Three Decimal Subtraction Methods
  243.    wt: 2:   Appendix 1 Decimals Comparison Method Take II
  244.    wt: 2:   Subtraction with J Conversions Example
  245.    wt: 2:   Subtraction Another Video Lesson
  246.    wt: 2:   9 22 Minute Subtraction Review Video
  247.    wt: 2:   8 Subtraction with Units of Measure
  248.    wt: 2:   7 Subtraction for Decimal Fractions with Exercises
  249.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  250.    wt: 2:   5 A Tip for Efficent Subtraction
  251.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
  252.    wt: 2:   3 Harder Cases Convert to Compare and Subtract
  253.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  254.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  255.    wt: 2:   8 What skills and work habits to require
  256.    wt: 2:   7 Adding decimal fractions using decimal point
  257.    wt: 2:   6. Counting and adding units and mixed units
  258.    wt: 2:   5. How to add decimals C. Examples
  259.    wt: 2:   4. How to add with decimals B with conversions
  260.    wt: 2:   3. How to add with decimals A sans conversions
  261.    wt: 2:   2 Decimal Counting Practices
  262.    wt: 2:   1. Explaining Addition Table
  263.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  264.    wt: 1:   Ramblings Extrinsic numbers theory
  265.    wt: 1:   Skills Chapter 2 Geometry
  266.    wt: 1:   8 analytic geometry etc
  267.    wt: 1:   About site lesson plans
  268.    wt: 1:   Theory of Knowledge
  269.    wt: 1:   2 Conductance Resistance Duality02
  270.    wt: 1:   2 Reading and Writing Skills
  271.    wt: 1:   Ages 12 to 14 Geometry
  272.    wt: 1:   Ages 10 to 12 Geometry
  273.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  274.    wt: 1:   20 Interchanging coordinates a reflection
  275.    wt: 1:   9 Set theory term relation possible origins
  276.    wt: 1:   19 Signed Multiples of Vectors
  277.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  278.    wt: 1:   13 Arrows and Vectors in a Plane
  279.    wt: 1:   2 Combing Counts Addition Skills and Principles
  280.    wt: 1:   2 Algebraic View
  281.    wt: 1:   5 Triangle Area Formula Backwards
  282.    wt: 1:   8 Coordinates for Maps and Planes
  283.    wt: 1:   2 GE II Comparison
  284.    wt: 1:   2 Essentially one exercises three with solution
  285.    wt: 1:   2 Three Examples
  286.    wt: 1:   2 Three Examples
  287.    wt: 1:   3 Triangle Area Formula Example
  288.    wt: 1:   arithmetic videos Real Player Format
  289.    wt: 1:   4 Greater More Less Than Signs in General
  290.    wt: 1:   3 Comparison of Negative Numbers
  291.    wt: 1:   1 More and Less Than for Counts and Measures
  292.    wt: 1:   5 Square Roots with primes more still
  293.    wt: 1:   4 Square Roots with primes more
  294.    wt: 1:   3 Properties of Square Roots with example
  295.    wt: 1:   2 Square Roots with Prime
  296.    wt: 1:   1 Squares and Square Roots Introduction
  297.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  298.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  299.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  300.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  301.    wt: 1:   13 GCD from given Prime Factorization
  302.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  303.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  304.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  305.    wt: 1:   7 GCD and LCM from prime factorization
  306.    wt: 1:   6 GCD from Prime
  307.    wt: 1:   5 Common Divisors 60 45 via Prime
  308.    wt: 1:   4 LCM of 8 and 10 via Prime
  309.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  310.    wt: 1:   2 Least Common Multiple LCM intro via list method
  311.    wt: 1:   1 Least Common Multiples LCM Introduction
  312.    wt: 1:   12 GCD 2700 288 via Prime
  313.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  314.    wt: 1:   4 Counting with Trees Product Rule Take I
  315.    wt: 1:   3 Counting with Tables and Trees II
  316.    wt: 1:   2 Counting with Tables and Trees I
  317.    wt: 1:   1 Counting and Counting Methods I
  318.    wt: 1:   11 What are real lengths and numbers
  319.    wt: 1:   10 dividing signed numbers
  320.    wt: 1:   9 subtracting signed numbers
  321.    wt: 1:   8 multiplying signed numbers
  322.    wt: 1:   7 negative and additive inverse
  323.    wt: 1:   6 adding signed numbers
  324.    wt: 1:   5 lengths and signs of numbers
  325.    wt: 1:   4 signed coordinates for regions in space
  326.    wt: 1:   2 signed and unsigned numbers as coordinates
  327.    wt: 1:   7 Converting or Changing Units
  328.    wt: 1:   6 Simplification of Fractions with Units
  329.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  330.    wt: 1:   4 Fractions with Units
  331.    wt: 1:   3 Multiplying Units and Numbers
  332.    wt: 1:   2 Equality and Units
  333.    wt: 1:   1 Addition and Subtraction with Units
  334.    wt: 1:   D Three Term Ratios
  335.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  336.    wt: 1:   B Fractions and Two Term Ratios
  337.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  338.    wt: 1:   22 Complex Compound Fractions
  339.    wt: 1:   21 Working With Signs
  340.    wt: 1:   21 Reciprocals for Fractions and Wholes
  341.    wt: 1:   20 Dividing Fractions the Why
  342.    wt: 1:   19 Dividing Fractions How TO
  343.    wt: 1:   18 Efficient Ways to Multiply
  344.    wt: 1:   17 Efficient Ways to Add and Subtract
  345.    wt: 1:   16 Addition Subtraction Comparision Compared
  346.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  347.    wt: 1:   14 Adding and Subtracting with Like Denominators
  348.    wt: 1:   13 Fraction Comparison Algebraic View
  349.    wt: 1:   12 Fraction Comparison
  350.    wt: 1:   11 Simplification an Algebraic View
  351.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  352.    wt: 1:   9 Improper Fractions and Mixed Numbers
  353.    wt: 1:   8 Numerals Fractionals Quantals Take II
  354.    wt: 1:   7 Numerals Fractionals Quantals
  355.    wt: 1:   6 Multiplication of Mixed Numbers
  356.    wt: 1:   6 Multiplication Algebraically Take II
  357.    wt: 1:   5 Equivalent Fractions
  358.    wt: 1:   4 Fraction Multiplication
  359.    wt: 1:   3 Unit fraction of a fraction
  360.    wt: 1:   2 Unit Fraction Multiplication
  361.    wt: 1:   1 What is a fraction Take II
  362.    wt: 1:   1 What is a fraction
  363.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  364.    wt: 1:   D Remainders Modulo 11 Pair Rule
  365.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  366.    wt: 1:   B Integer Long Division Multiple Choices
  367.    wt: 1:   A Associative Law Theorectical Note
  368.    wt: 1:   13 Subtraction with Additive Inverse
  369.    wt: 1:   12 Adding Integers More Examples
  370.    wt: 1:   11 Adding Integers Formulas and Examples
  371.    wt: 1:   10 Integer Multiplication Formulas
  372.    wt: 1:   9 Multiplying Integers
  373.    wt: 1:   8 Multiplication by Signed Numbers Integers
  374.    wt: 1:   7 Multiplication by Signs
  375.    wt: 1:   6 Multiplication by Natural Numbers
  376.    wt: 1:   5 Zero Movement and Additive Inverses
  377.    wt: 1:   4 Adding Movements wiht opposite directions
  378.    wt: 1:   3 Adding Movements with same direction
  379.    wt: 1:   1 Integers as Coordinates
  380.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  381.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  382.    wt: 1:   26 Divisibility by 2 3 5 Example
  383.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  384.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  385.    wt: 1:   23 Remainder Arithmetic Modulo 2
  386.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  387.    wt: 1:   21 Remainder Arithmetic Modulo 3
  388.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  389.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  390.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  391.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  392.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  393.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  394.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  395.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  396.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  397.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  398.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  399.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  400.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  401.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  402.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  403.    wt: 1:   5 Remainder Arithmetic Modulo 5
  404.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  405.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  406.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  407.    wt: 1:   1 Remainder Arithmetic Modulo 10
  408.    wt: 1:   20 Uniqueness of Prime Factorization
  409.    wt: 1:   19 video Prime Factorization Unique
  410.    wt: 1:   18 video Count Factors given Prime Factorization
  411.    wt: 1:   17 Identify and Count Factors using Primes
  412.    wt: 1:   16 video Factors of 980 using prime
  413.    wt: 1:   15 video Factors of 20 using Prime Factorization
  414.    wt: 1:   14 video Factors of 24 Take II
  415.    wt: 1:   13 video Factors of 24 using prime
  416.    wt: 1:   12 LCD GCD and LCM using Primes
  417.    wt: 1:   11 Efficient Square Rule Use
  418.    wt: 1:   10 video Prime Factorization upto 23 squared
  419.    wt: 1:   9 video Prime Factorization upto 19 squared
  420.    wt: 1:   8 video Prime Factorization upto 19
  421.    wt: 1:   7 Calculator Usage Notes and Cautions
  422.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  423.    wt: 1:   5 Prime Factorization and a Square Rule
  424.    wt: 1:   4 video Prime Factorization Introduction
  425.    wt: 1:   3 video Primes and Composites from 9 times table
  426.    wt: 1:   1 video how Products are bigger than factor
  427.    wt: 1:   11 Place Value SI Standard International way
  428.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  429.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  430.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  431.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  432.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  433.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  434.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  435.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  436.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  437.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  438.    wt: 1:   Quick history of numbers and algebra
  439.    wt: 1:   Exact Arithmetic Wholes and Fractions
  440.    wt: 1:   Formula Evaluation how to show work
  441.    wt: 1:   Expression Evaluation how to show work
  442.    wt: 1:   The 20 Times Table
  443.    wt: 1:   The 12 Times Table Visually
  444.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  445.    wt: 1:   About folder contents
  446.    wt: 1:   C Triangle Inequalities
  447.    wt: 1:   Chapter 23 Links To Trigonometry
  448.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  449.    wt: 1:   Chapter 7 Two Treatments of Geometry
  450.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  451.    wt: 1:   Chapter 6 More Algebra and Geometry
  452.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  453.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  454.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  455.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  456.    wt: 13:   PS C Similarity Use Recognize it in Trigonometry
  457.    wt: 13:   19 Right Triangle Similarity
  458.    wt: 13:   18 Triangle Similarity Take 1
  459.    wt: 13:   2 Correspondence between Triangles
  460.    wt: 13:   Short Course on Euclidean Geometry
  461.    wt: 12:   17 Right Bisectors of Triangle Sides
  462.    wt: 12:   15 Triangle Angle Sum is 180 degrees
  463.    wt: 12:   11 Triangle Construction Fails
  464.    wt: 12:   8 Isoceles Triangles
  465.    wt: 12:   3 Isometry of Triangles Congruence
  466.    wt: 11:   PS H Distributive Law For Complex Numbers
  467.    wt: 11:   PS G Rotation Distributes over Addition
  468.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  469.    wt: 11:   PS E Multiplication with Polar Coordinates
  470.    wt: 11:   PS D Addition with Cartesian Coordinates
  471.    wt: 11:   PS B Parallelogram Construction Methods
  472.    wt: 11:   PS A Kite Construction Methods
  473.    wt: 11:   21 Parallelograms
  474.    wt: 11:   16 Angles Subtended By Chords and Diameters
  475.    wt: 11:   14 Parallel Lines Postulate
  476.    wt: 11:   13 Angle Side Angle Failure
  477.    wt: 11:   12 Side Angle Side Failure
  478.    wt: 11:   10 Dropping a perpendicular to line
  479.    wt: 11:   9 Construction of a right bisector
  480.    wt: 11:   7 Angle Side Angle
  481.    wt: 11:   6 Ruler and compass Angle Bisection
  482.    wt: 11:   5 Side Angle Side
  483.    wt: 11:   4 Side Side Side
  484.    wt: 11:   1 Initial Concepts and Terms

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

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

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

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

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

The 8 Most Popular Site Inlinks

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

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

Parent Center: Help your child or teen learn:

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

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

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

  2. Flash Video for Calculus Phobics

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

Unsolicited Advice

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


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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