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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.
| |
General Links:
The Purple Math lesson at purplemath.com/modules
includes analytic geometry topics.
| The Online Book, Understanding Algebra by James Brennan
complements site material. TOC follows.
|
- Chapter
1- The Numbers of Arithmetic
-
Chapter
2- Introduction to Algebra
-
Chapter
3- Word Problems
-
Chapter
4- Graphing and Straight Lines
|
- Chapter
5- Systems of Linear Equations
-
Chapter
6- Polynomials
-
Chapter
7- Rational Expressions
-
Chapter
8- Exponents and Roots
-
Chapter
9- Quadratic Equations
|
Visit the Finite Mathematics and Applied Calculus Resource Page.
Its tutorial
index points to many online tutorials with topics not covered at this site
plus a different viewpoint of topics here
Working with Vectors
- From Jenny Olive, author of Maths, Student Survival Guide for science and
engineering students.
-
Hot (New August 3, 2001) Webpages Complex
Numbers and Distributive
Law for Complex Numbers offer a quick way to understand and
explain complex numbers and trigonometry Is there is a quicker way
to explain trig and complex numbers, etc?
-
Applied
Calculus Everything - more online text on or for books by Stefan
Waner and Steven R. Costenoble, Covers Calculus and Some Trig.
-
Complex
numbers from Math Abundance.
-
Trig
without Tears - Basic ideas plus the cis(iA) = exp(i A) approach to
trigonometry. Best explored after a knowledge of complex numbers and the
Pythagorean theorem.
-
Trigonometry
from SOS Math
-
Complex
Numbers from SOS Math
- The Exambot website
in British Columbia offer reference material (definitions and such),
problems and answers to them in trig, calculus and physics. Perhaps the best
to start is with its help
page. See it is web links.
Interactive Mathematics, local &
away
- Try the local Complex
Number Applet to see how to add or multiply points and vectors
in the Cartesian or Complex Number plane
- Automatic Calculus Derivatives and
Integrals - Many worked examples with free evaluation of derivatives and
polynomial operations, plus password access for a price to evaluation of
integrals. Special notation required to enter your problems. Step by step
solutions!
-
The Integrator -
free evaluation of integrals
- Online
questions covering sets, coordinates, algebra, trig and calculus from Maths
Online (Answers multiple choice, drag and drop)
- The best inlinks to the Mathematica
Web Server Home Page are given by Math
Links and Tools Page at Maths Online. Links give tools for common
calculation in algebra, geometry, trig and calculus.
- On-Line
Tutorials (with interactive questions) for or from three books Finite
Mathematics, Applied
Calculus Finite
Mathematics & Applied Calculus, by
Stefan Waner and Steven R. Costenoble,
- Science
> Math > Education > Java Applets Dozens of Applets.
Favorites from the work
of Tom Leathrum (precalculus to calculus)
Mathlets: JavaTM Applets for Math
Explorations
Clicking on an example in most of the following
pages will enter the coefficients in the applet.
-
Numerical Applet
graphing a parabolas in both standard form, y=a(x-h)2+k,
and general form, y=ax2+bx+c with
buttons allowing you to change coefficients. See how changes in coefficients
in one representation changes the coefficients in another.
-
Numerical Applet that graphs
a polynomial given its roots.
-
Numerical Applet that Graphs
a periodic function of the form y=A sin(Bx+C)+D,
showing transformations corresponding to changing the values of the
coefficients.
- Numerical Applet Parametric
Paths (3-D Graphing). Graphs a path in three dimensions specified
parametrically, as x=f(t), y=g(t),
and z=h(t), with parameter t.
-
Complex
numbers from Math Abundance.
-
Trig
without Tears - Basic ideas plus the cis(iA) = exp(i A) approach to
trigonometry. Best explored after a knowledge of complex numbers and the
Pythagorean theorem.
-
Trigonometry
from SOS Math
-
Complex
Numbers from SOS Math
- The Exambot website
in British Columbia offer reference material (definitions and such),
problems and answers to them in trig, calculus and physics. Perhaps the best
to start is with its help
page. See it is web links.
- Top Study Geometry:
Seven Interactive (step by steps) online proofs of (1) vertically opposite
angles are equal, (2) Sum of angles in a triangle = 180 degrees (3) equality
of angles at base of an isosceles triangle ..
- TopStudy More Geometry
More Seven More Interactive (step by steps) online proofs
- Top Study MATH Link
Visit here for Arc, Area and Volume Calculation (Mensuration) formulas
- Working with
Vectors - From Jenny Olive, author of Maths, Student Survival Guide for
science and engineering students.
| |
www.whyslopes.com
Analytic Geometry
& Functions, etc
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
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?
|