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

485 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:   8 More Use of Maps Not Drawn to Scale
  7.    wt: 8:   6 Figuring with Maps Not to Scale
  8.    wt: 7:   13 Velocity Vectors in Physics
  9.    wt: 7:   8 Parallel Vectors
  10.    wt: 7:   6 Vectors with Coordinates
  11.    wt: 7:   3 Navigation with Arrows or Vectors
  12.    wt: 7:   2 Signed Coordinates
  13.    wt: 7:   Construction Methods and Criteria for Isometric and Similar Triangles
  14.    wt: 7:   SAS Method For Isometric Or Proportional Triangle Construction
  15.    wt: 7:   Analytic View of Triangle Construction or Line Instersection More
  16.    wt: 7:   32 seven rows of pascals triangle
  17.    wt: 7:   16 Right Triangle Complementary Angle Relations
  18.    wt: 7:   Unit Circle Development of Trigonometry
  19.    wt: 7:   8 Triangles Cascade Problem Solving
  20.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  21.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  22.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  23.    wt: 7:   Why Trigonometry the whyslopes view
  24.    wt: 7:   A Measurement with Ruler Proper Use
  25.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  26.    wt: 7:   2 Measuring Area Directly
  27.    wt: 7:   1 Length Measurement
  28.    wt: 6:   7 Radian Measures in special Triangles
  29.    wt: 6:   A Global Time and Navigation
  30.    wt: 6:   15 Dot and Cross Product
  31.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  32.    wt: 6:   12 From Applied To Pure Mathematics
  33.    wt: 6:   11 Component Method
  34.    wt: 6:   10 Parallelogram Addition Method
  35.    wt: 6:   9 Head to Tail Coordinate View
  36.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  37.    wt: 6:   5 Head To Tail Arrow Addition
  38.    wt: 6:   4 Resultant of a Sum of Movements
  39.    wt: 6:   1 Unsigned Coordinates
  40.    wt: 6:   Vector and Complex Number Applet
  41.    wt: 6:   Triangle Angles Sum To 180 Degrees
  42.    wt: 6:   17 tangent function angle sum formulas
  43.    wt: 6:   35 sines and cosines of 2A 3A 4A 5A
  44.    wt: 6:   34 sines and cosines of 2A 3A 4A 5A
  45.    wt: 6:   33 sines and cosines of 2A 3A 4A 5A
  46.    wt: 6:   31 basic secant cosecant cotangent trig identities
  47.    wt: 6:   30 unit circle calculation of six trigonometric functions
  48.    wt: 6:   29 secant cosecant and cotangent for acute angles
  49.    wt: 6:   28 Expressing products of sines cosines as sums
  50.    wt: 6:   27 Logarithmic use of products of sines and cosines
  51.    wt: 6:   26 Formulas for products of sines and cosines
  52.    wt: 6:   25 tangent double angle formula Slope connection
  53.    wt: 6:   24 tangent Angle Difference Formula
  54.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
  55.    wt: 6:   22 sine of 22.5 degrees via half angle formulas
  56.    wt: 6:   21 sine and cosine Half Angle Formulas
  57.    wt: 6:   20 sine and cosine Double Angle Formulas
  58.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  59.    wt: 6:   18 sum of sinusoidal waves as a single wave
  60.    wt: 6:   17G Pythagorean Theorem Converse
  61.    wt: 6:   17F Law of cosines
  62.    wt: 6:   17E Trig Formulas for dot and cross Products
  63.    wt: 6:   17D cis formulas for sine cosines and tangent
  64.    wt: 6:   17C sine and cosine double triple angle formulas
  65.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  66.    wt: 6:   17A The complex number valued trig function cis
  67.    wt: 6:   15 sine cosine Complementary Angle Relations
  68.    wt: 6:   14 cosine even and sine and tangent are odd
  69.    wt: 6:   13 Graph of tangent function many periods
  70.    wt: 6:   12 Graph of tangent function for one period
  71.    wt: 6:   11 tangent function undefined when terminal side vertical
  72.    wt: 6:   10 Graphs of sines and cosines many periods
  73.    wt: 6:   9 Graphs of sine and cosine over one period
  74.    wt: 6:   8 period of tangent function
  75.    wt: 6:   7 period of sine and cosine
  76.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  77.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  78.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  79.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  80.    wt: 6:   2 Quadrant I reference Angles
  81.    wt: 6:   1 Unit Points Reflections Rotations
  82.    wt: 6:   8 Unit Circle Development of Trigonometry
  83.    wt: 6:   2 Complex Numbers made easier we hope
  84.    wt: 6:   7 Trignometric Ratios Unit Circle
  85.    wt: 6:   3 Trigonometric Ratios sine and cosine
  86.    wt: 6:   1 Angle Measurement with Degrees
  87.    wt: 6:   12 Triangles Similarity More Problems
  88.    wt: 6:   11 Triangle Similarity Missing Side Problem
  89.    wt: 6:   10 Similarity of Triangles Equivalent of Two Criteria
  90.    wt: 6:   9 Similarity of Triangles Usual Criteria
  91.    wt: 6:   8 Similarity of Triangles and Polygons
  92.    wt: 6:   2 point slope equation for a line
  93.    wt: 6:   11 Triangle Inequality
  94.    wt: 6:   2 Cartesian Coordinates with signs
  95.    wt: 5:   16 cotangent function Definition Graph and Inverse
  96.    wt: 5:   15 cosecant function Definition Graph and Inverse
  97.    wt: 5:   14 secant function Definition Graph and Inverse
  98.    wt: 5:   13 cosecant function Definition Graph and Inverse
  99.    wt: 5:   12 motivation for term arctan
  100.    wt: 5:   11 arctan left inverse of tangent Graph
  101.    wt: 5:   10 arctan left inverse of tangent Definition
  102.    wt: 5:   9 motivation for name arcsin
  103.    wt: 5:   8 arcsin left inverse of sine Graph
  104.    wt: 5:   7 arcsin left inverse of sine Definition
  105.    wt: 5:   6 Graph of arccos function
  106.    wt: 5:   5 Swapping Coordinates is a reflection
  107.    wt: 5:   4 possible motivation for term arccos
  108.    wt: 5:   3 Left Inverse of cosine arccos definition
  109.    wt: 5:   2 cosine function more properties
  110.    wt: 5:   1 cosine function properties
  111.    wt: 5:   9 Summary Degrees to Radians and back
  112.    wt: 5:   8 Radian Measures of Common Angles
  113.    wt: 5:   6 Radian Measure to Degrees
  114.    wt: 5:   5 Degrees to Radian Measure
  115.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  116.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  117.    wt: 5:   2 Radian Measure Numerical Value of one degree
  118.    wt: 5:   1 Degrees and Radians Introduction
  119.    wt: 5:   4 graphing y=Asin(x c)
  120.    wt: 5:   3 graphing y=f(x c) plus K
  121.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  122.    wt: 5:   1 graphing y=f(x a)
  123.    wt: 5:   Parallel Lines and Parallel Transversals
  124.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
  125.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  126.    wt: 5:   Parallel Lines and Interior Angles
  127.    wt: 5:   Straight Lines ASA Intersection Study More
  128.    wt: 5:   Straight Lines ASA Intersection Study
  129.    wt: 5:   Straight Lines Instersection Solving Equations
  130.    wt: 5:   Straight Lines Intersection of
  131.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  132.    wt: 5:   C Straight Lines Slope from Coordinates
  133.    wt: 5:   B Straight Line Slope Scaling Properties More
  134.    wt: 5:   A Straight Line Slope Scaling Properties
  135.    wt: 5:   14 Straight Lines Equations General Case
  136.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  137.    wt: 5:   12 Straight Lines Graphing mx plus b
  138.    wt: 5:   11 Straight Lines Graphing y=mx
  139.    wt: 5:   10 Straight Lines through Origin Equations More
  140.    wt: 5:   9 Straight Lines through Origin Equations
  141.    wt: 5:   8 Straight Lines Equation for vertical
  142.    wt: 5:   7 Tangent Function is odd on this domain
  143.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  144.    wt: 5:   5 Tangent Function Graph
  145.    wt: 5:   4 Tangent Function Properties
  146.    wt: 5:   3 Straight Lines Slope as Tangent of Inclination Angle
  147.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  148.    wt: 5:   1 Straight Lines Slope Concept
  149.    wt: 5:   21 Logarithms Powers and Exponentials
  150.    wt: 5:   20 N th Roots of Complex Numbers
  151.    wt: 5:   19 N th Roots of Unity
  152.    wt: 5:   18 Sixth Roots of Unity
  153.    wt: 5:   17 Cube Roots of unity
  154.    wt: 5:   16 References and Originality Question
  155.    wt: 5:   15 Pythagorean Theorem Converse
  156.    wt: 5:   14 Law of cosines
  157.    wt: 5:   13 Trig Formulas for dot and cross Products
  158.    wt: 5:   12 cis formulas for sine cosines and tangent
  159.    wt: 5:   11 sine and cosine double triple angle formulas
  160.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  161.    wt: 5:   9 The complex number valued trig function cis
  162.    wt: 5:   7 Second Way to Calculate Products
  163.    wt: 5:   6 Field Properties of Complex Number
  164.    wt: 5:   5 An Easy Proof of the Distributive Law
  165.    wt: 5:   4 Multiplication Properties
  166.    wt: 5:   3 Addition Properties
  167.    wt: 5:   1 Rectangular Polar Coordinates Review
  168.    wt: 5:   Appetizer A Complex Number Applet
  169.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  170.    wt: 5:   7 Translations Rotations Reflections Dilatations
  171.    wt: 5:   6 Geometric Diagrams in Class
  172.    wt: 5:   5 Similarity of Circles Squares and Rectangles
  173.    wt: 5:   4 Similarity Definition with Coordinate
  174.    wt: 5:   3 Similarity by Design with coordinates
  175.    wt: 5:   2 Similarity By Design
  176.    wt: 5:   1 Early Concept of Like or Similar Shapes
  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:   7 Cautious or Safe Set Construction
  289.    wt: 1:   arithmetic videos Real Player Format
  290.    wt: 1:   4 Greater More Less Than Signs in General
  291.    wt: 1:   3 Comparison of Negative Numbers
  292.    wt: 1:   1 More and Less Than for Counts and Measures
  293.    wt: 1:   5 Square Roots with primes more still
  294.    wt: 1:   4 Square Roots with primes more
  295.    wt: 1:   3 Properties of Square Roots with example
  296.    wt: 1:   2 Square Roots with Prime
  297.    wt: 1:   1 Squares and Square Roots Introduction
  298.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  299.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  300.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  301.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  302.    wt: 1:   13 GCD from given Prime Factorization
  303.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  304.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  305.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  306.    wt: 1:   7 GCD and LCM from prime factorization
  307.    wt: 1:   6 GCD from Prime
  308.    wt: 1:   5 Common Divisors 60 45 via Prime
  309.    wt: 1:   4 LCM of 8 and 10 via Prime
  310.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  311.    wt: 1:   2 Least Common Multiple LCM intro via list method
  312.    wt: 1:   1 Least Common Multiples LCM Introduction
  313.    wt: 1:   12 GCD 2700 288 via Prime
  314.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  315.    wt: 1:   4 Counting with Trees Product Rule Take I
  316.    wt: 1:   3 Counting with Tables and Trees II
  317.    wt: 1:   2 Counting with Tables and Trees I
  318.    wt: 1:   1 Counting and Counting Methods I
  319.    wt: 1:   11 What are real lengths and numbers
  320.    wt: 1:   10 dividing signed numbers
  321.    wt: 1:   9 subtracting signed numbers
  322.    wt: 1:   8 multiplying signed numbers
  323.    wt: 1:   7 negative and additive inverse
  324.    wt: 1:   6 adding signed numbers
  325.    wt: 1:   5 lengths and signs of numbers
  326.    wt: 1:   4 signed coordinates for regions in space
  327.    wt: 1:   2 signed and unsigned numbers as coordinates
  328.    wt: 1:   7 Converting or Changing Units
  329.    wt: 1:   6 Simplification of Fractions with Units
  330.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  331.    wt: 1:   4 Fractions with Units
  332.    wt: 1:   3 Multiplying Units and Numbers
  333.    wt: 1:   2 Equality and Units
  334.    wt: 1:   1 Addition and Subtraction with Units
  335.    wt: 1:   D Three Term Ratios
  336.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  337.    wt: 1:   B Fractions and Two Term Ratios
  338.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  339.    wt: 1:   22 Complex Compound Fractions
  340.    wt: 1:   21 Working With Signs
  341.    wt: 1:   21 Reciprocals for Fractions and Wholes
  342.    wt: 1:   20 Dividing Fractions the Why
  343.    wt: 1:   19 Dividing Fractions How TO
  344.    wt: 1:   18 Efficient Ways to Multiply
  345.    wt: 1:   17 Efficient Ways to Add and Subtract
  346.    wt: 1:   16 Addition Subtraction Comparision Compared
  347.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  348.    wt: 1:   14 Adding and Subtracting with Like Denominators
  349.    wt: 1:   13 Fraction Comparison Algebraic View
  350.    wt: 1:   12 Fraction Comparison
  351.    wt: 1:   11 Simplification an Algebraic View
  352.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  353.    wt: 1:   9 Improper Fractions and Mixed Numbers
  354.    wt: 1:   8 Numerals Fractionals Quantals Take II
  355.    wt: 1:   7 Numerals Fractionals Quantals
  356.    wt: 1:   6 Multiplication of Mixed Numbers
  357.    wt: 1:   6 Multiplication Algebraically Take II
  358.    wt: 1:   5 Equivalent Fractions
  359.    wt: 1:   4 Fraction Multiplication
  360.    wt: 1:   3 Unit fraction of a fraction
  361.    wt: 1:   2 Unit Fraction Multiplication
  362.    wt: 1:   1 What is a fraction Take II
  363.    wt: 1:   1 What is a fraction
  364.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  365.    wt: 1:   D Remainders Modulo 11 Pair Rule
  366.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  367.    wt: 1:   B Integer Long Division Multiple Choices
  368.    wt: 1:   A Associative Law Theorectical Note
  369.    wt: 1:   13 Subtraction with Additive Inverse
  370.    wt: 1:   12 Adding Integers More Examples
  371.    wt: 1:   11 Adding Integers Formulas and Examples
  372.    wt: 1:   10 Integer Multiplication Formulas
  373.    wt: 1:   9 Multiplying Integers
  374.    wt: 1:   8 Multiplication by Signed Numbers Integers
  375.    wt: 1:   7 Multiplication by Signs
  376.    wt: 1:   6 Multiplication by Natural Numbers
  377.    wt: 1:   5 Zero Movement and Additive Inverses
  378.    wt: 1:   4 Adding Movements wiht opposite directions
  379.    wt: 1:   3 Adding Movements with same direction
  380.    wt: 1:   1 Integers as Coordinates
  381.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  382.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  383.    wt: 1:   26 Divisibility by 2 3 5 Example
  384.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  385.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  386.    wt: 1:   23 Remainder Arithmetic Modulo 2
  387.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  388.    wt: 1:   21 Remainder Arithmetic Modulo 3
  389.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  390.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  391.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  392.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  393.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  394.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  395.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  396.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  397.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  398.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  399.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  400.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  401.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  402.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  403.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  404.    wt: 1:   5 Remainder Arithmetic Modulo 5
  405.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  406.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  407.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  408.    wt: 1:   1 Remainder Arithmetic Modulo 10
  409.    wt: 1:   20 Uniqueness of Prime Factorization
  410.    wt: 1:   19 video Prime Factorization Unique
  411.    wt: 1:   18 video Count Factors given Prime Factorization
  412.    wt: 1:   17 Identify and Count Factors using Primes
  413.    wt: 1:   16 video Factors of 980 using prime
  414.    wt: 1:   15 video Factors of 20 using Prime Factorization
  415.    wt: 1:   14 video Factors of 24 Take II
  416.    wt: 1:   13 video Factors of 24 using prime
  417.    wt: 1:   12 LCD GCD and LCM using Primes
  418.    wt: 1:   11 Efficient Square Rule Use
  419.    wt: 1:   10 video Prime Factorization upto 23 squared
  420.    wt: 1:   9 video Prime Factorization upto 19 squared
  421.    wt: 1:   8 video Prime Factorization upto 19
  422.    wt: 1:   7 Calculator Usage Notes and Cautions
  423.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  424.    wt: 1:   5 Prime Factorization and a Square Rule
  425.    wt: 1:   4 video Prime Factorization Introduction
  426.    wt: 1:   3 video Primes and Composites from 9 times table
  427.    wt: 1:   1 video how Products are bigger than factor
  428.    wt: 1:   11 Place Value SI Standard International way
  429.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  430.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  431.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  432.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  433.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  434.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  435.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  436.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  437.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  438.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  439.    wt: 1:   Quick history of numbers and algebra
  440.    wt: 1:   Exact Arithmetic Wholes and Fractions
  441.    wt: 1:   Formula Evaluation how to show work
  442.    wt: 1:   Expression Evaluation how to show work
  443.    wt: 1:   The 20 Times Table
  444.    wt: 1:   The 12 Times Table Visually
  445.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  446.    wt: 1:   About folder contents
  447.    wt: 1:   C Triangle Inequalities
  448.    wt: 1:   Chapter 23 Links To Trigonometry
  449.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  450.    wt: 1:   Chapter 7 Two Treatments of Geometry
  451.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  452.    wt: 1:   Chapter 6 More Algebra and Geometry
  453.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  454.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  455.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  456.    wt: 14:   11 Triangle Construction Fails
  457.    wt: 13:   Euclidean Geometry Elsewhere LINKS
  458.    wt: 13:   2 Correspondence between Triangles
  459.    wt: 13:   Short Course on Euclidean Geometry
  460.    wt: 12:   PS C Similarity Use Recognize it in Trigonometry
  461.    wt: 12:   PS B Parallelogram Construction Methods
  462.    wt: 12:   PS A Kite Construction Methods
  463.    wt: 12:   19 Right Triangle Similarity
  464.    wt: 12:   18 Triangle Similarity Take 1
  465.    wt: 12:   17 Right Bisectors of Triangle Sides
  466.    wt: 12:   15 Triangle Angle Sum is 180 degrees
  467.    wt: 12:   9 Construction of a right bisector
  468.    wt: 12:   8 Isoceles Triangles
  469.    wt: 12:   3 Isometry of Triangles Congruence
  470.    wt: 11:   PS H Distributive Law For Complex Numbers
  471.    wt: 11:   PS G Rotation Distributes over Addition
  472.    wt: 11:   PS F Scalar Multiplication Distributes over Addition
  473.    wt: 11:   PS E Multiplication with Polar Coordinates
  474.    wt: 11:   PS D Addition with Cartesian Coordinates
  475.    wt: 11:   21 Parallelograms
  476.    wt: 11:   16 Angles Subtended By Chords and Diameters
  477.    wt: 11:   14 Parallel Lines Postulate
  478.    wt: 11:   13 Angle Side Angle Failure
  479.    wt: 11:   12 Side Angle Side Failure
  480.    wt: 11:   10 Dropping a perpendicular to line
  481.    wt: 11:   7 Angle Side Angle
  482.    wt: 11:   6 Ruler and compass Angle Bisection
  483.    wt: 11:   5 Side Angle Side
  484.    wt: 11:   4 Side Side Side
  485.    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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