Appetizers and Lessons for Mathematics and Reason (www.whyslopes.com)
||Définition d'une variable || Algèbre || Arithmetique || Logique ||La raison basée sur les règles et modelés||

Online Volumes (Book Orders)
1,  Elements of Reason.
1A. Pattern Based Reason 
1B. Math Curriculum Notes
2. Three Skills for Algebra
3. Why Slopes & More Math

 Mathematics Course Designers: LAMP offers food for thought.
More Site Areas 
1. Help Your Child or Teen Learn 
2. Solving Linear Equations
3. Fractions Ratios Rates Proportions & Units
4. Euclidean Geometry
5. Analytic Geometry/Functions 
6. Number Theory
7. More Calculus
More Site Areas 
8. Complex Numbers 
9. Qc Maths  Education  
10. Secondary IV(?) maths
11. Real  Analysis 
12. LaTeX2HotEqn:
13. Electric Circuits Etc  
14.  Français
15. Algebra, Odds & Ends, Etc
More Site Areas 
16. Math Education Essays
17. Telling & Working with Time
18. Maps, Plans & Drawings
19. Quantitative Skills for  home, shopping and work 
20. Statistics Useful, or Not.

Test the
Twiddla Whiteboard


[Site Entrance & Hub]Back ] Area Entrance ][Site Exit]


YOU are better than YOU think. Show yourself  how: 

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Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  for greater skills & confidence in  work 
and study.

Read notes and textbooks like a lawyer, so that no nuance, no subtlety and no clause escapes your attention. 

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 Logic chapters 1 to 5  re- appear not in sequence, as is or longer,  in  Volume 1A,  Pattern Based Reason, Bon Appetite.

Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and
writing

Logic mastery makes the hard, easier. Logic mastery  leads to better, stronger and richer comprehension.  Logic mastery  improves reading and writing.  Logic mastery ease learning difficulties.  Logic mastery gives a headstart.  In sum, logic mastery  will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.


After logic  (a) continue reading Three Skills for Algebra, chapters 8 to 14  and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought

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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.


Try the Twiddla Whiteboard. In principle, it  allows to people to draw and chat together online on a copy of this webpage or a clean sheet. The chat may be via text or audio.  Visit www.twiddla.com to set up whiteboards to work with the webpage of your choice.

For online automated help in senior high school maths & calculus, visit  quickmath.com  For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com  With  overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck.

More links

  1. Dave's Math Tables - A cross section of high school/college mathematics.

  2. For Novices:  Defense Acquisition Center, Subway Map Covers (1) Basic Arithmetic, Exponents and Logarithms, Equations, Series, Self-Test; and (2) Elementary Calculus, Functions, Domains & Ranges, Intercepts, Limits, Graphing functions, Derivatives, Integrals, self-test. Looks very good.

  3. Numerical Applet graphing a parabolas when a parabola is given by y=ax2+bx+c or y = a(x-h)2+k with buttons allowing you to change coefficients. See how changes in coefficients in one representation changes the coefficients in another.

  4. The Basic Algebra, Math 152A Home Page : Lecture Notes: Real Numbers and Definitions] [Linear Equations and Inequalities] [Exponents and Polynomials] [Functions and Graphs].  See the problems sets as well. This is good work.

  5. SOS Math  offers lesson on Algebra | Trigonometry | Calculus | Differential Equations Complex Variables | Matrix Algebra | Tables
  6. SOS Math also offer quizzes (multiple choice) on Intermediate Algebra Mathematics for Social Sciences I  Mathematics for Social Sciences II Pre-Calculus I  Pre-Calculus II  Calculus  Differential Equations. After answering, right or wrong, you may retreat or advance to the next question.
  7. Sample Math 101 Test Problems from Washington State U. A student can feel mathematically ready to attend College if he or she can get at least 33 out of the 36 problems correct.
  8. Math Abundance offers a good collection of  advanced lessons and problem sets - material put online to advance mathematics education by J. C.

  9. From Think Quest: Function Basics and Simple Graphing. Find in interactive math onlines. Neat page
  10. From Think Quest: Many Kinds of functions (periodic, odd, even, etc.) Find in interactive math online. Neat page.
  11. Percentages From Jenny Olive, author of Maths, Student Survival Guide for science and engineering students.
  12. Middle School Math. A collection of links for students or teachers.
  13. Word Problems For Students: Grade Five Grade Six Grade Seven Grade Eight Grade Nine Grade Ten Grade Eleven Grade Twelve from a St Xavier Francis University math page.
  14. July 25 2005 Vol. 10, No. 30

    Quoted From the THE MATH FORUM @ DREXEL INTERNET NEWS

    PAUL'S ONLINE MATH TUTORIALS AND NOTES

    http://tutorial.math.lamar.edu/

    Paul Dawkins, Lamar University, created his site to provide a complete set of online notes and/or tutorials for the classes he teaches:

    - Algebra
    - Calculus I
    - Calculus II
    - Calculus III
    - Differential Equations

    Dawkins has written a variety of pages available in PDF format, some of which he has reduced to fit onto one
    page:

    - Algebra/Trig Review
    - Complex Numbers Primer
    - Common Math Errors
    - How to Study Math
    - Algebra Cheat Sheet
    - Algebra Cheat Sheet (Reduced)
    - Trig Cheat Sheet
    - Trig Cheat Sheet (Reduced)
    - Common Derivatives and Integrals
    - Common Derivatives and Integrals (Reduced)
    - Table of Laplace Transforms

     

Sites on Many MathTopics

  1. For Novices:  Defense Acquisition Center, Subway Map Covers (1) Basic Arithmetic, Exponents and Logarithms, Equations, Series, Self-Test; and (2) Elementary Calculus, Functions, Domains & Ranges, Intercepts, Limits, Graphing functions, Derivatives, Integrals, self-test. Looks very good.
 

 

ADVERSTISEMENT

www.whyslopes.com
Analytic Geometry

Area Entrance 
Entrance + Pages Below this page



Pages at Current Level(C) Complex Numbers
(FN) What are Functions?
(FN) Functions - More
SZM: Sign Analysis
(L) Lines Summary
(P) Polynomials (*,+,-)
(Q) Quadratics
(D) Simplify Square Roots
(T) Unit Circle Trig
Conic Sections
Links
More Links

Area Entrance
Equal Sign Use/Abuse
Real Numbers
Say More Positive
Linear Inequalities
Triangle Inequality
Absolute Value |x|
|x| Eq'ns & Inequalities
Periodic Functions
Sinusoidal functions
Polynomials
Rectangular Coords
Shortest Path
Distance Formulas
Add & Multiply Points
Polar Coordinates
Radians
(A) Vectors
(A) Coordinate Arithmetic
(A) Navigation on Maps
(A) Addition Geometrically
(A) Rotation
(PT) Translations
(PT) Dilatations
PT: Rotations
Pages at Above this Page

Extras:  Not all perfect.

Equal Sign Use/Abuse
Real Numbers
Say More Positive
Linear Inequalities
Triangle Inequality
Absolute Value |x|
|x| Eq'ns & Inequalities
Rectangular Coords
Shortest Path
Distance Formulas
Add & Multiply Points
Polar Coordinates
Radians
(A) Vectors
(A) Coordinate Arithmetic
(A) Navigation on Maps
(A) Addition Geometrically
(A) Rotation
(PT) Translations
(PT) Dilatations
PT: Rotations


Links to Site Pages outside this site area follow - co- and pre- requisites.

Road Safety Message

Easy Consequences of  this (newest) Complex Number. Starter Lesson follow below to provide an alternate development of HS or college maths.

Vec & Cmplx  No Applet
B2 C. Conjugates
B3 Pythagoras
B4 Distance
B5 Rt Triangle Similarity
B6 Trig., Functions
B7 Dot & Cross Products
B8 Cosine Law
B9 Exponential & cis fns
B10 Easy Trig Identities
B11 Set Viewpoint

Arithmetic Videos - Real Player Format

Decimal Addition Methods
Decimal Subtraction Methods
Decimal Multiplication Methods
Decimal Division Methods


Fractions
Primes
Greatest Common Divisor
Divisors

Least Common Multiples

Square Root
Simplification

Using formulas forwards & Backwards - A unifying theme for algebra skill development - the 4th skill in Volume 2, Three Skills for Algebra!

What is a Variable?




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a 1983 McGill. Ph. D. in mathematics
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