www.whyslopes.com   << Français :  20 pages >>    
Appetizers and Lessons for Mathematics and Reason
  online logic chapters  - the best starting point for further site exploration.  Bon Appetite.



More Calculus

 Vol. 3, Why Slopes & More Maths, also gives starter lessons for differential and integral calculus. 



 

Rational Functions - Domain and Range.

Logarithms and Exponentials - Domain and Range.

Power Functions - Domain and Range

Even and Odd functions.

Substitution - Implicit Composition 
Multivariable View of Composition of Functions

Composition of Functions - Formal View

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Parents: Help your Child/Teen Learn covers  Speaking Skills, Reading & Writing Preparing for Science Having Patience, etc

Math How-TOs
1. Arithmetic   2. Algebra   3.  More Algebra  4.  Geometry 5 More Geometry 6.  Calculus
>> densely written 
>> use as skill checklists

Online Volumes (orders)
1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3 .Why.Slopes.&
.More.Math.1995

Skill & Concept 
Review or  Development 

 1. Decimal Arith - Video Based ]
2   Fractions  
3.  Fractions  with Units  
3. Solving Linear Equations  - 
making alg easier
4. Formulas forwards & Backwards - unifying theme for Algebra
5.  Proportionality, Back- & For-wards - theme at work.
6.  Logic - Math Free, good for precision in  work & studies 
7. Euclidean-Geometry  (leanly)
8. Slopes and Lines 
9. Why Study Slopes - a context 
10.  Quadratics
11  Polynomials
12  Factored Polys - a context
13 Functions - For-& Back -wards
14  Number Theory, Richly
15. Exponents, Radicals & logs.  
16   Calculus - Examples & Advice 
17.   Real  Analysis 
18  Electric Circuits Etc (So So)
19 Maps, Similarity & Trig, (alt view)
20 Complex numbers  

21 Logic with Symbols+truth tables

22  Consistent Story Telling
23. Even More Logic

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Have you  been to the Site Entrance: www.whyslopes.com?

Algebra Définition d'une variable La raison basée sur les règles et modelés 
Vol. 1, Elements of Reason, introduces all  site Volumes on understanding and explaining mathematics and logic. Site Volumes are online with postscripts.  Paperback versions (no postscripts) are available
Vol. 1A, Pattern Based Reason,   describes benefits, origins and limits of  rules & patterns in daily life,  science, business & technology.  Not all is certain - a caution for all site ideas. 

Vol. 1B. Math Curriculum Notes, begins with inductive principles for progressive skill development  and describes  technical difficulties.
Vol 2, Three Skills for Algebra, wordily gives starter lessons for logic and algebra  -  stuff calculus  and high school students should know. 

Vol. 3, Why Slopes & More Maths, offers starter lessons for differential and integral calculus -stuff instructors should know.  Appendices  = starter lessons for real analysis -  for a few.
Instructors:  Outline of a new Applied Math program K5-12.  Lamp an earlier program, Mathematics education essays 
Parentsthe folder  Helping Your Child or Teen Learn  covers  Speaking Skills, Reading & Writing Preparing for Science Having Patience
Site Topics and Essays
 1. Decimal Arith. & Integer Lessons (Flash) ]
2     Fractions  
3.      Fractions  with Units  
3.    Solving Linear Equations  - making alg easier
4.  Formulas forwards & Backwards - a  theme
5.     Proportionality, Back- & For-wards
6.       Euclidean-Geometry  (lean intro)
7.      Logic - Math Free, good for work & studies
8.    Slopes and Lines
9.  Why Study Slopes - Advanced Motivation 
10.    Quadratics and  Polynomials

Would you like to be an algebra power user?  read (i)  the site folder on  Solving Linear Equations;  read (ii)  algebra chapters 8 to 18 and the essay what is a variable. in Vol 2., Three Skills for Algebra.   If  entering calculus, skip (i) and see (iii) the geometric preview and  algebra preview (chapters 2 to 6)  in Volume 3

11. Application of Factored Polynomials
12    Functions - Forwards & Backwards
13        Number Theory, Richly
14.     Exponents, Radicals & logs.  
15    Calculus - Examples & Blah, Blah, Blah 
16.   Real  Analysis 
17.  Electric Circuits Etc (So So)
18. Maps, Plans,  Similarity & Trig, (alt view)
19.    Complex numbers  - a visual approach

20.       Logic with Symbols (and truth tables)

21.     Logic & Consistent Story Telling
22. Even More Logic

Math How-TOs (skills checklists)
1. Arithmetic   2.  Algebra   3.  More Algebra   4.    Geometry   5.  More Geometry  6. Calculus 
7. Complex Numbers
(densely written)

Road Safety Message  Do not walk on a road with your back to the traffic - rule of thumb
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email,  errors in mathematics or grammar or terminology to site author
If a mathematics topic you need is not covered in site pages,  report that as well. Topics in most demand
will be covered first in site growth.  

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