Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
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
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

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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  1.    wt: 8:   13 Vectors/
  2.    wt: 7:   1 Maps Plans Measurement/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  6.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  7.    wt: 5:   12 Function Translating and Rescaling/
  8.    wt: 5:   11 Parallel Straight Lines and Transversals/
  9.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  10.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  11.    wt: 5:   7 Complex Numbers/
  12.    wt: 5:   5 What is Similarity/
  13.    wt: 5:   4 Lines and Slopes Take 1/
  14.    wt: 5:   3 Cartesian and Polar Coordinates/
  15.    wt: 5:   2 Euclidean Geometry Constructions Theory extras/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 2:   13 Lessons on Limits and Continuity/
  18.    wt: 1:   4 Functions/
  19.    wt: 1:   B Real Numbers Extrinsic Development/
  20.    wt: 1:   A Origins of Counting and Figuring Methods/
  21.    wt: 1:   10 Examples of Algebraic Reasoning/
  22.    wt: 1:   9 Proportionality Backwards and Forwards/
  23.    wt: 1:   8 Unifying Theme For Algebra/
  24.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  25.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  26.    wt: 1:   5 Real Numbers/
  27.    wt: 1:   4 Computation Rules and Function Notation/
  28.    wt: 1:   Step 4 Gaussian Elimination/
  29.    wt: 1:   Step 3 Easy systems in 2 or more unknowns/
  30.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  31.    wt: 1:   Step 1 Stick diagram and fractions/
  32.    wt: 1:   3 Solving Linear Equations/
  33.    wt: 1:   2 Formula Forward Use Evaluation/
  34.    wt: 1:   1 Working With Sets/
  35.    wt: 1:   Algebra Starter Lessons/
  36.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  37.    wt: 1:   5 Lessons on Integration/
  38.    wt: 1:   4 Lessons on Using Derivatives/
  39.    wt: 1:   38 Lessons on Calculating Derivatives/
  40.    wt: 1:   70 Calculus Starter Lessons/

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68 matches:

  1.    wt: 2:   Maps Plans Drawings
  2.    wt: 2:   13 Velocity Vectors in Physics
  3.    wt: 2:   4 Angles on Maps Plans drawn to scale
  4.    wt: 2:   3 Lengths and Areas on Maps and Plans
  5.    wt: 2:   13 Arrows and Vectors in a Plane
  6.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  7.    wt: 1:   About site lesson plans
  8.    wt: 1:   05 13 OldSiteEntrancePage
  9.    wt: 1:   13 Addition and Addition Tables
  10.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  11.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  12.    wt: 1:   23 Inverse Functions
  13.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  14.    wt: 1:   15 Sign analysis of functions
  15.    wt: 1:   13 From one to one to many to one
  16.    wt: 1:   8 Set view of relations and functions
  17.    wt: 1:   7 Functions with finite domains
  18.    wt: 1:   1 Calculator Starter Exercises
  19.    wt: 1:   13 cosecant function Definition Graph and Inverse
  20.    wt: 1:   8 Parallel Vectors
  21.    wt: 1:   6 Vectors with Coordinates
  22.    wt: 1:   3 Navigation with Arrows or Vectors
  23.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  24.    wt: 1:   30 unit circle calculation of six trigonometric functions
  25.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  26.    wt: 1:   13 Graph of tangent function many periods
  27.    wt: 1:   Unit Circle Development of Trigonometry
  28.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  29.    wt: 1:   13 Trig Formulas for dot and cross Products
  30.    wt: 1:   8 Unit Circle Development of Trigonometry
  31.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  32.    wt: 1:   Why Trigonometry the whyslopes view
  33.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  34.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  35.    wt: 1:   13 Pythagorean spatial distance formulas
  36.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  37.    wt: 1:   13 Angle Side Angle Failure
  38.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  39.    wt: 1:   6 Figuring with Maps Not to Scale
  40.    wt: 1:   19 Signed Multiples of Vectors
  41.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  42.    wt: 1:   13 Real Number Subtraction
  43.    wt: 1:   8 Coordinates for Maps and Planes
  44.    wt: 1:   13 Naming Identifying Formulas with Words
  45.    wt: 1:   13 GCD from given Prime Factorization
  46.    wt: 1:   3 signed coordinates for maps and planes
  47.    wt: 1:   13 Fraction Comparison Algebraic View
  48.    wt: 1:   13 Subtraction with Additive Inverse
  49.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  50.    wt: 1:   13 video Factors of 24 using prime
  51.    wt: 1:   013 Travel Time Tables
  52.    wt: 1:   31 Derivatives of inverse functions
  53.    wt: 1:   27 Chain Rule sinusoidal outer inner functions EGS
  54.    wt: 1:   26 Chain Rule Recognising outer inner functions
  55.    wt: 1:   19 Chain Rule for linear functions
  56.    wt: 1:   13 sine and cosine derivatives 1st step
  57.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  58.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  59.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  60.    wt: 1:   F.1 What Functions are Continuous
  61.    wt: 1:   Chapter 23 Links To Trigonometry
  62.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  63.    wt: 1:   Chapter 13. Acceleration
  64.    wt: 1:   Chapter 19. Functions and Sets
  65.    wt: 1:   Chapter 13. Second Reading Guide
  66.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  67.    wt: 1:   Chapter 3 Algebra Starter Lessons
  68.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry

Extended Search

518 matches:

  1.    wt: 9:   8 Parallel Vectors
  2.    wt: 9:   6 Vectors with Coordinates
  3.    wt: 9:   3 Navigation with Arrows or Vectors
  4.    wt: 9:   4 Angles on Maps Plans drawn to scale
  5.    wt: 9:   3 Lengths and Areas on Maps and Plans
  6.    wt: 8:   A Global Time and Navigation
  7.    wt: 8:   15 Dot and Cross Product
  8.    wt: 8:   14 Why Scalar Multiplication Distributes Physical Argument
  9.    wt: 8:   12 From Applied To Pure Mathematics
  10.    wt: 8:   11 Component Method
  11.    wt: 8:   10 Parallelogram Addition Method
  12.    wt: 8:   9 Head to Tail Coordinate View
  13.    wt: 8:   7 Coordinate Addition and Scalar Multiplication
  14.    wt: 8:   5 Head To Tail Arrow Addition
  15.    wt: 8:   4 Resultant of a Sum of Movements
  16.    wt: 8:   2 Signed Coordinates
  17.    wt: 8:   1 Unsigned Coordinates
  18.    wt: 8:   Vector and Complex Number Applet
  19.    wt: 8:   32 seven rows of pascals triangle
  20.    wt: 8:   8 More Use of Maps Not Drawn to Scale
  21.    wt: 8:   6 Figuring with Maps Not to Scale
  22.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  23.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  24.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  25.    wt: 7:   31 basic secant cosecant cotangent trig identities
  26.    wt: 7:   30 unit circle calculation of six trigonometric functions
  27.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
  28.    wt: 7:   15 sine cosine Complementary Angle Relations
  29.    wt: 7:   13 Graph of tangent function many periods
  30.    wt: 7:   Unit Circle Development of Trigonometry
  31.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  32.    wt: 7:   13 Trig Formulas for dot and cross Products
  33.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  34.    wt: 7:   Why Trigonometry the whyslopes view
  35.    wt: 7:   Right Triangle and Unit Circle Trigonometry
  36.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
  37.    wt: 7:   13 Pythagorean spatial distance formulas
  38.    wt: 7:   13 Angle Side Angle Failure
  39.    wt: 7:   A Measurement with Ruler Proper Use
  40.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  41.    wt: 7:   2 Measuring Area Directly
  42.    wt: 7:   1 Length Measurement
  43.    wt: 6:   13 cosecant function Definition Graph and Inverse
  44.    wt: 6:   3 Left Inverse of cosine arccos definition
  45.    wt: 6:   13 Straight Lines Finding Equations from 2 points
  46.    wt: 6:   17 tangent function angle sum formulas
  47.    wt: 6:   29 secant cosecant and cotangent for acute angles
  48.    wt: 6:   28 Expressing products of sines cosines as sums
  49.    wt: 6:   27 Logarithmic use of products of sines and cosines
  50.    wt: 6:   26 Formulas for products of sines and cosines
  51.    wt: 6:   25 tangent double angle formula Slope connection
  52.    wt: 6:   24 tangent Angle Difference Formula
  53.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  54.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  55.    wt: 6:   21 sine and cosine Half Angle Formulas
  56.    wt: 6:   20 sine and cosine Double Angle Formulas
  57.    wt: 6:   18 sum of sinusoidal waves as a single wave
  58.    wt: 6:   17G Pythagorean Theorem Converse
  59.    wt: 6:   17F Law of cosines
  60.    wt: 6:   17E Trig Formulas for dot and cross Products
  61.    wt: 6:   17D cis formulas for sine cosines and tangent
  62.    wt: 6:   17C sine and cosine double triple angle formulas
  63.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  64.    wt: 6:   17A The complex number valued trig function cis
  65.    wt: 6:   16 Right Triangle Complementary Angle Relations
  66.    wt: 6:   14 cosine even and sine and tangent are odd
  67.    wt: 6:   12 Graph of tangent function for one period
  68.    wt: 6:   11 tangent function undefined when terminal side vertical
  69.    wt: 6:   10 Graphs of sines and cosines many periods
  70.    wt: 6:   9 Graphs of sine and cosine over one period
  71.    wt: 6:   8 period of tangent function
  72.    wt: 6:   7 period of sine and cosine
  73.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  74.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  75.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  76.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  77.    wt: 6:   2 Quadrant I reference Angles
  78.    wt: 6:   1 Unit Points Reflections Rotations
  79.    wt: 6:   8 Unit Circle Development of Trigonometry
  80.    wt: 6:   8 Triangles Cascade Problem Solving
  81.    wt: 6:   7 Trignometric Ratios Unit Circle
  82.    wt: 6:   5 Trigonometric Ratios For Tangent and Special Triangles
  83.    wt: 6:   4 Trigonometric Ratios For Two Special Triangles
  84.    wt: 6:   3 Trigonometric Ratios sine and cosine
  85.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  86.    wt: 6:   1 Angle Measurement with Degrees
  87.    wt: 6:   6 Geometric Diagrams in Class
  88.    wt: 6:   3 Similarity by Design with coordinates
  89.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
  90.    wt: 5:   16 cotangent function Definition Graph and Inverse
  91.    wt: 5:   15 cosecant function Definition Graph and Inverse
  92.    wt: 5:   14 secant function Definition Graph and Inverse
  93.    wt: 5:   12 motivation for term arctan
  94.    wt: 5:   11 arctan left inverse of tangent Graph
  95.    wt: 5:   10 arctan left inverse of tangent Definition
  96.    wt: 5:   9 motivation for name arcsin
  97.    wt: 5:   8 arcsin left inverse of sine Graph
  98.    wt: 5:   7 arcsin left inverse of sine Definition
  99.    wt: 5:   6 Graph of arccos function
  100.    wt: 5:   5 Swapping Coordinates is a reflection
  101.    wt: 5:   4 possible motivation for term arccos
  102.    wt: 5:   2 cosine function more properties
  103.    wt: 5:   1 cosine function properties
  104.    wt: 5:   9 Summary Degrees to Radians and back
  105.    wt: 5:   8 Radian Measures of Common Angles
  106.    wt: 5:   7 Radian Measures in special Triangles
  107.    wt: 5:   6 Radian Measure to Degrees
  108.    wt: 5:   5 Degrees to Radian Measure
  109.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  110.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  111.    wt: 5:   2 Radian Measure Numerical Value of one degree
  112.    wt: 5:   1 Degrees and Radians Introduction
  113.    wt: 5:   4 graphing y=Asin(x c)
  114.    wt: 5:   3 graphing y=f(x c) plus K
  115.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  116.    wt: 5:   1 graphing y=f(x a)
  117.    wt: 5:   Parallel Lines and Parallel Transversals
  118.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  119.    wt: 5:   Triangle Angles Sum To 180 Degrees
  120.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  121.    wt: 5:   Parallel Lines and Interior Angles
  122.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
  123.    wt: 5:   SAS Method For Isometric Or Proportional Triangle Construction
  124.    wt: 5:   Analytic View of Triangle Construction or Line Instersection More
  125.    wt: 5:   Straight Lines ASA Intersection Study More
  126.    wt: 5:   Straight Lines ASA Intersection Study
  127.    wt: 5:   Straight Lines Instersection Solving Equations
  128.    wt: 5:   Straight Lines Intersection of
  129.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  130.    wt: 5:   C Straight Lines Slope from Coordinates
  131.    wt: 5:   B Straight Line Slope Scaling Properties More
  132.    wt: 5:   A Straight Line Slope Scaling Properties
  133.    wt: 5:   14 Straight Lines Equations General Case
  134.    wt: 5:   12 Straight Lines Graphing mx plus b
  135.    wt: 5:   11 Straight Lines Graphing y=mx
  136.    wt: 5:   10 Straight Lines through Origin Equations More
  137.    wt: 5:   9 Straight Lines through Origin Equations
  138.    wt: 5:   8 Straight Lines Equation for vertical
  139.    wt: 5:   7 Tangent Function is odd on this domain
  140.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  141.    wt: 5:   5 Tangent Function Graph
  142.    wt: 5:   4 Tangent Function Properties
  143.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  144.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  145.    wt: 5:   1 Straight Lines Slope Concept
  146.    wt: 5:   21 Logarithms Powers and Exponentials
  147.    wt: 5:   20 N th Roots of Complex Numbers
  148.    wt: 5:   19 N th Roots of Unity
  149.    wt: 5:   18 Sixth Roots of Unity
  150.    wt: 5:   17 Cube Roots of unity
  151.    wt: 5:   16 References and Originality Question
  152.    wt: 5:   15 Pythagorean Theorem Converse
  153.    wt: 5:   14 Law of cosines
  154.    wt: 5:   12 cis formulas for sine cosines and tangent
  155.    wt: 5:   11 sine and cosine double triple angle formulas
  156.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  157.    wt: 5:   9 The complex number valued trig function cis
  158.    wt: 5:   7 Second Way to Calculate Products
  159.    wt: 5:   6 Field Properties of Complex Number
  160.    wt: 5:   5 An Easy Proof of the Distributive Law
  161.    wt: 5:   4 Multiplication Properties
  162.    wt: 5:   3 Addition Properties
  163.    wt: 5:   2 Complex Numbers made easier we hope
  164.    wt: 5:   1 Rectangular Polar Coordinates Review
  165.    wt: 5:   Appetizer A Complex Number Applet
  166.    wt: 5:   12 Triangles Similarity More Problems
  167.    wt: 5:   11 Triangle Similarity Missing Side Problem
  168.    wt: 5:   10 Similarity of Triangles Equivalent of Two Criteria
  169.    wt: 5:   9 Similarity of Triangles Usual Criteria
  170.    wt: 5:   8 Similarity of Triangles and Polygons
  171.    wt: 5:   7 Translations Rotations Reflections Dilatations
  172.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  173.    wt: 5:   4 Similarity Definition with Coordinate
  174.    wt: 5:   2 Similarity By Design
  175.    wt: 5:   1 Early Concept of Like or Similar Shapes
  176.    wt: 5:   Four Simple Exercises
  177.    wt: 5:   12 Links Lessons elsewhere
  178.    wt: 5:   11 A Partial Summary
  179.    wt: 5:   10 Midpoint of [a b] and [b a]
  180.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  181.    wt: 5:   8 Mid Point Formula
  182.    wt: 5:   7 Exercises to test skill and concept mastery
  183.    wt: 5:   6 Intersection of lines by solving linear systems
  184.    wt: 5:   5 Algebraic View of Slopes
  185.    wt: 5:   4 Equations for lines three forms
  186.    wt: 5:   3 Slope product for perpendicular lines
  187.    wt: 5:   2 point slope equation for a line
  188.    wt: 5:   1 Numerical view of lines and their equations
  189.    wt: 5:   What is and is not here
  190.    wt: 5:   12 Spatial Coordinates
  191.    wt: 5:   11 Triangle Inequality
  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:   2 Cartesian Coordinates with signs
  201.    wt: 5:   1 Cartesian Coordinates sans signs
  202.    wt: 5:   Euclidean Geometry Elsewhere LINKS
  203.    wt: 5:   PS H Distributive Law For Complex Numbers
  204.    wt: 5:   PS G Rotation Distributes over Addition
  205.    wt: 5:   PS F Scalar Multiplication Distributes over Addition
  206.    wt: 5:   PS E Multiplication with Polar Coordinates
  207.    wt: 5:   PS D Addition with Cartesian Coordinates
  208.    wt: 5:   PS B Parallelogram Construction Methods
  209.    wt: 5:   PS A Kite Construction Methods
  210.    wt: 5:   21 Parallelograms
  211.    wt: 5:   19 Right Triangle Similarity
  212.    wt: 5:   18 Triangle Similarity Take 1
  213.    wt: 5:   17 Right Bisectors of Triangle Sides
  214.    wt: 5:   16 Angles Subtended By Chords and Diameters
  215.    wt: 5:   15 Triangle Angle Sum is 180 degrees
  216.    wt: 5:   14 Parallel Lines Postulate
  217.    wt: 5:   12 Side Angle Side Failure
  218.    wt: 5:   11 Triangle Construction Fails
  219.    wt: 5:   10 Dropping a perpendicular to line
  220.    wt: 5:   9 Construction of a right bisector
  221.    wt: 5:   8 Isoceles Triangles
  222.    wt: 5:   7 Angle Side Angle
  223.    wt: 5:   6 Ruler and compass Angle Bisection
  224.    wt: 5:   5 Side Angle Side
  225.    wt: 5:   4 Side Side Side
  226.    wt: 5:   3 Isometry of Triangles Congruence
  227.    wt: 5:   2 Correspondence between Triangles
  228.    wt: 5:   1 Initial Concepts and Terms
  229.    wt: 5:   Short Course on Euclidean Geometry
  230.    wt: 5:   About Folder Contents
  231.    wt: 3:   13 From one to one to many to one
  232.    wt: 3:   13 Arrows and Vectors in a Plane
  233.    wt: 3:   13 Limits with Parameters and Derivatives Take II
  234.    wt: 2:   Maps Plans Drawings
  235.    wt: 2:   13 Addition and Addition Tables
  236.    wt: 2:   25 Absolute Value greatest integer and saw tooth functions
  237.    wt: 2:   24 Monotoncity Injectivity and Inverse Functions
  238.    wt: 2:   23 Inverse Functions
  239.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  240.    wt: 2:   15 Sign analysis of functions
  241.    wt: 2:   8 Set view of relations and functions
  242.    wt: 2:   7 Functions with finite domains
  243.    wt: 2:   19 Signed Multiples of Vectors
  244.    wt: 2:   16 Collinear Horizontal Arrows Vectors
  245.    wt: 2:   13 Real Number Subtraction
  246.    wt: 2:   8 Coordinates for Maps and Planes
  247.    wt: 2:   13 Naming Identifying Formulas with Words
  248.    wt: 2:   13 video Factors of 24 using prime
  249.    wt: 2:   31 Derivatives of inverse functions
  250.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
  251.    wt: 2:   26 Chain Rule Recognising outer inner functions
  252.    wt: 2:   19 Chain Rule for linear functions
  253.    wt: 2:   13 sine and cosine derivatives 1st step
  254.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  255.    wt: 2:   11 Limits at infinity Three Examples
  256.    wt: 2:   10 Three one sided limits with infinite values
  257.    wt: 2:   9 Limits Continuity and Composition
  258.    wt: 2:   8 Four Animated Examples
  259.    wt: 2:   7 Evaluation by immediate or delayed substitution
  260.    wt: 2:   6 Continuity at a point
  261.    wt: 2:   5 Jumps and absence of unlimited error control
  262.    wt: 2:   4 Numerical properties
  263.    wt: 2:   3 Decimal insights for limits continuity convergence
  264.    wt: 2:   2 Algebraic codification
  265.    wt: 2:   1 Numerical introduction
  266.    wt: 2:   Chapter 13. Acceleration
  267.    wt: 2:   Chapter 13. Second Reading Guide
  268.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  269.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  270.    wt: 1:   Ramblings Extrinsic numbers theory
  271.    wt: 1:   Ramblings Introduction Algebra Essay
  272.    wt: 1:   Skills Chapter 3 Algebra
  273.    wt: 1:   About site lesson plans
  274.    wt: 1:   05 13 OldSiteEntrancePage
  275.    wt: 1:   A Wire Resistance Qualitative01
  276.    wt: 1:   26 Function definitions done and coming
  277.    wt: 1:   22 Square Root function graphically
  278.    wt: 1:   20 Interchanging coordinates a reflection
  279.    wt: 1:   19 Horizontal line rule and method
  280.    wt: 1:   18 Vertical Line Rule and Method
  281.    wt: 1:   17 Function maxima minima and their location
  282.    wt: 1:   16 Increasing or decreasing on intervals
  283.    wt: 1:   14 Surjections Injections Bijections
  284.    wt: 1:   12 Function Domain Recognition Exercises
  285.    wt: 1:   11 Function Domain Range Source and Targets
  286.    wt: 1:   10 Interval Notation
  287.    wt: 1:   9 Set theory term relation possible origins
  288.    wt: 1:   6 Set Existence Formation and Notation
  289.    wt: 1:   5 Function notation for geometric transformations
  290.    wt: 1:   4 Function notation in and beyond mathematics
  291.    wt: 1:   3 Formula or function graphing exercise
  292.    wt: 1:   2 Algebraic use of function notation
  293.    wt: 1:   1 Geometric Introduction of Function Notation
  294.    wt: 1:   Introduction Reading Guide
  295.    wt: 1:   1 Calculator Starter Exercises
  296.    wt: 1:   musings do not puiblish real numbers
  297.    wt: 1:   A Modular and Remainder Arithmetic
  298.    wt: 1:   A Signed Number Arithmetic Review
  299.    wt: 1:   26 More Less Greater Than Comparison
  300.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  301.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  302.    wt: 1:   23 Distributive Law Two Derivations
  303.    wt: 1:   22 Multiplication of Signed Numbers
  304.    wt: 1:   21 Addition of Multiples of a Single Vector
  305.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  306.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  307.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  308.    wt: 1:   15 Head to Tails in place Addition Associative
  309.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  310.    wt: 1:   12 Real Numbers Line Signed Coordinates
  311.    wt: 1:   11 Signed Number Addition and Addition Properties
  312.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  313.    wt: 1:   9 Division with Digits after Decimal Point
  314.    wt: 1:   8 Division and Mulplication of Compound Fractions
  315.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  316.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  317.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  318.    wt: 1:   4 Location of Point in Decimal Addition
  319.    wt: 1:   3 Location of Point in Decimal Multiplication
  320.    wt: 1:   2 Counting Digits in Decimal Multiplication
  321.    wt: 1:   1 Fractions with Finite Decimal Expansions
  322.    wt: 1:   E Long Division Methods more
  323.    wt: 1:   D Long Division Methods
  324.    wt: 1:   C Three Decimal Subtraction Methods
  325.    wt: 1:   B Decimal Comparison and Subtraction
  326.    wt: 1:   A Decimal Addition Columm Methods
  327.    wt: 1:   8 Column Multiplication Methods in General
  328.    wt: 1:   7 Decimals Multiplication Methods Examples
  329.    wt: 1:   6 Column Methods for Decimal Multiplication
  330.    wt: 1:   5 Distributive Law for Whole Numbers
  331.    wt: 1:   4 Commutative Law Groups Counting Form
  332.    wt: 1:   3 Multiplicative Counting Skills Principles
  333.    wt: 1:   2 Combing Counts Addition Skills and Principles
  334.    wt: 1:   1 The Counting Origins of Numbers
  335.    wt: 1:   5 Areas of Rectangles Revisited
  336.    wt: 1:   4 Fraction Operations Axiomatic Development
  337.    wt: 1:   3 Inequalities Algebraically
  338.    wt: 1:   2 Fraction Operations Physical Development
  339.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  340.    wt: 1:   5 Proportionality in Equivalent Fractions
  341.    wt: 1:   4 Rates Ratios and Proporitionality
  342.    wt: 1:   3 Proportionality Examples
  343.    wt: 1:   2 Algebraic View
  344.    wt: 1:   1 What is Proportionality
  345.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  346.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  347.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  348.    wt: 1:   6 Compound Interest Forward and Backwards
  349.    wt: 1:   5 Triangle Area Formula Backwards
  350.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  351.    wt: 1:   3 Linear Equation Literal Solution More
  352.    wt: 1:   2 Linear Equation Literal Solution
  353.    wt: 1:   1 Changing Calculations
  354.    wt: 1:   6 Equations and Systems Equivalent or Implied
  355.    wt: 1:   5 Equality in Algebra
  356.    wt: 1:   4 Subtraction and Division Axioms
  357.    wt: 1:   3 Product Axioms Two Forms
  358.    wt: 1:   2 Addition and Multiplication Axioms
  359.    wt: 1:   1 Equivalent Computation Rules
  360.    wt: 1:   5 Greater More Less Than Signs in General
  361.    wt: 1:   4 Comparison of Negative Numbers
  362.    wt: 1:   3 More and Less Than with Unlike Signs
  363.    wt: 1:   2 More and Less Than for Counts and Measures
  364.    wt: 1:   1 Real Numbers Comparison
  365.    wt: 1:   16 Real Numbers Comparison
  366.    wt: 1:   15 Real Number Division
  367.    wt: 1:   14 Real Number Multiplication
  368.    wt: 1:   12 Real Number Additive Inverses or Negatives
  369.    wt: 1:   11 Real Number Addition
  370.    wt: 1:   10 Real Number Lengths and Signs
  371.    wt: 1:   9 Coordinates for Regions in Space
  372.    wt: 1:   7 Real Numbers as Line Cordinates
  373.    wt: 1:   6 Unsigned Real Numbers
  374.    wt: 1:   5 Rational Numbers More
  375.    wt: 1:   4 Rational Numbers
  376.    wt: 1:   3 Fractions
  377.    wt: 1:   2 Integers
  378.    wt: 1:   1 Whole and Natural Numbers
  379.    wt: 1:   5 Independent versus Dependent Variables
  380.    wt: 1:   4 Changing Letters
  381.    wt: 1:   3 Geometric Formulas and Function Notation
  382.    wt: 1:   2 Computation Rules Evaluation
  383.    wt: 1:   1 Formulas Dependence and Function Notation
  384.    wt: 1:   More Exercises
  385.    wt: 1:   Simple Exercises
  386.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  387.    wt: 1:   4 GE III Animated Examples
  388.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  389.    wt: 1:   3 GE III Equation Addition and Multiplication
  390.    wt: 1:   2 GE II Comparison
  391.    wt: 1:   1 GE Substitution four examples
  392.    wt: 1:   4 Solving a triangular system exercise
  393.    wt: 1:   3 Solving triangular system example
  394.    wt: 1:   2 Essentially one exercises three with solution
  395.    wt: 1:   1 Essentially One Unknown
  396.    wt: 1:   6 Algebraic Solution Example
  397.    wt: 1:   5 Algebraic Solutions Introduction
  398.    wt: 1:   4 Four Examples Fractional Coefficients
  399.    wt: 1:   3 Four Examples
  400.    wt: 1:   2 Three Examples
  401.    wt: 1:   1 Proper Equal Sign Usage
  402.    wt: 1:   Skill Development Notes
  403.    wt: 1:   10 One Example
  404.    wt: 1:   9 Three Examples
  405.    wt: 1:   8 One Example
  406.    wt: 1:   7 Two Examples
  407.    wt: 1:   6 Three Examples
  408.    wt: 1:   5 Three Examples
  409.    wt: 1:   4 Two Examples
  410.    wt: 1:   3 Two Examples
  411.    wt: 1:   2 Three Examples
  412.    wt: 1:   Using Letters for Physical Quantities
  413.    wt: 1:   Formula Usage Show Work Format
  414.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
  415.    wt: 1:   11 Volume of Sphere
  416.    wt: 1:   10 Volume of Pyramid
  417.    wt: 1:   9 Volume of Cone
  418.    wt: 1:   8 Compound Interest Formula Evaluation
  419.    wt: 1:   7 Compound Interest Formula Introduction
  420.    wt: 1:   6 Pythagorean Hypotenuse Calculation Example
  421.    wt: 1:   5 Box Volume Formula Example
  422.    wt: 1:   4 Circle Area Formula Example
  423.    wt: 1:   3 Triangle Area Formula Example
  424.    wt: 1:   2 Another Rectangle Area Formula Example
  425.    wt: 1:   1 Written work formats for developing and showing skill
  426.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  427.    wt: 1:   9 Sets in Probability and Statistics
  428.    wt: 1:   8 Sets of Numbers
  429.    wt: 1:   7 Cautious or Safe Set Construction
  430.    wt: 1:   6 Power Set Notation
  431.    wt: 1:   5 Product Builder Notation
  432.    wt: 1:   4 Subset Builder Notation
  433.    wt: 1:   3 Counting with Sets etc
  434.    wt: 1:   2 Venn Diagrams
  435.    wt: 1:   1 Finite Sets
  436.    wt: 1:   6 Three Notions of What is a Variable
  437.    wt: 1:   5 Talking about Numbers and Quantities
  438.    wt: 1:   4 A Brief Story of numbers and algebra
  439.    wt: 1:   3 Adding Words To Arithmetic
  440.    wt: 1:   2 What is a Variable
  441.    wt: 1:   1 Three Skills For Algebra
  442.    wt: 1:   About Folder Contents
  443.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  444.    wt: 1:   13 GCD from given Prime Factorization
  445.    wt: 1:   3 signed coordinates for maps and planes
  446.    wt: 1:   13 Fraction Comparison Algebraic View
  447.    wt: 1:   A Associative Law Theorectical Note
  448.    wt: 1:   13 Subtraction with Additive Inverse
  449.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  450.    wt: 1:   013 Travel Time Tables
  451.    wt: 1:   Example 2 volume of a cone
  452.    wt: 1:   Example 1 volume of a pyramid
  453.    wt: 1:   Volume of Solid by Cross Sections Lesson
  454.    wt: 1:   Example 1. Area Between x and x squared
  455.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  456.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  457.    wt: 1:   Example 4 with x function of y
  458.    wt: 1:   Example 3
  459.    wt: 1:   Example 2
  460.    wt: 1:   Example 1
  461.    wt: 1:   Area Between Curves Lesson Take 2
  462.    wt: 1:   Area Between Curves Lesson Take 1
  463.    wt: 1:   Summary
  464.    wt: 1:   A Related Material in Volume 3
  465.    wt: 1:   5 Area Under Curve Exercise
  466.    wt: 1:   4 Definite Integrals Evaluation Exercises
  467.    wt: 1:   3 Two Chain Rule Method Exercises
  468.    wt: 1:   2 Indefinite Integrals Exercises
  469.    wt: 1:   1 Chain Rule in Reverse Integration Method
  470.    wt: 1:   A Related lessons in Volume 3
  471.    wt: 1:   4 Second derivative test exercise example
  472.    wt: 1:   3 Second derivative test
  473.    wt: 1:   2 Second derivative test prequel
  474.    wt: 1:   1 Two cubic sketching exercises with 1st derivative
  475.    wt: 1:   A Chain Rule Real Player video examples
  476.    wt: 1:   38 Formulas and derivatives for powers and roots
  477.    wt: 1:   36 Cube root derivative animated
  478.    wt: 1:   34 Derivative of exponential function
  479.    wt: 1:   33 Chain Rule Real Player video examples
  480.    wt: 1:   30Chain Rule A Proof
  481.    wt: 1:   29 Chain Rule Optional Reading
  482.    wt: 1:   28 Chain Rule Preparation for a Proof
  483.    wt: 1:   25 Chain Rule Animated Examples Continued
  484.    wt: 1:   24 Chain Rule Animated Examples
  485.    wt: 1:   23 Chain Rule in general
  486.    wt: 1:   22 Chain Rule for polynomials
  487.    wt: 1:   21 Chain Rule for powers
  488.    wt: 1:   20 Chain Rule for Pulley Systems
  489.    wt: 1:   18 Chain Rule Introduction
  490.    wt: 1:   17 Derivatives of quotients of sine and cosine
  491.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  492.    wt: 1:   15 sine and cosine derivatives 3rd step
  493.    wt: 1:   14 sine and cosine derivatives 2nd step
  494.    wt: 1:   12 Quotient rule examples
  495.    wt: 1:   11 Quotient rule
  496.    wt: 1:   10 Power rule for negative integers
  497.    wt: 1:   9 Reciprocal rule
  498.    wt: 1:   8 Differentiation of polynomials
  499.    wt: 1:   7 Animated Differentiation Examples
  500.    wt: 1:   6 Power rule from product rule
  501.    wt: 1:   5 Product Rule
  502.    wt: 1:   4 Sum Rule
  503.    wt: 1:   3 Motivation for Limit Definition Take 2
  504.    wt: 1:   2 Motivation for Limit Definition Take 1
  505.    wt: 1:   1 Fall 1983 Why Slopes Appetizer
  506.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  507.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  508.    wt: 1:   F.5a Equicontinuity Theorems
  509.    wt: 1:   F.1 What Functions are Continuous
  510.    wt: 1:   Chapter 23 Links To Trigonometry
  511.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  512.    wt: 1:   Chapter 19. Functions and Sets
  513.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  514.    wt: 1:   Postscript A Three Remarks
  515.    wt: 1:   M Words to extend arithmetic
  516.    wt: 1:   Chapter 3 Algebra Starter Lessons
  517.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  518.    wt: 11:   13 Velocity Vectors in Physics

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 bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

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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