Employ an online or offline tutor at your own risk from
AU:
tutorfinder.com.au
CDN :
findatutor.ca
CDN: .i-tutor.ca
CDN: Montreal
Tutors
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UK:
tutorhunt.com
UK: tutors4me.co.uk
USA: wiziq.com
USA: ziizoo.com
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YOU are better than YOU think. Show
yourself how:
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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
Do not leave here without it - Logic
mastery will develops critical thinking, improve reading and
writing, and give a firmer base for work and studies at many levels.
Good luck.
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Caution: Site advice is
approximately correct, for some circumstances, not all. Site How-TOs
are logically developed, but not tried and tested. That leaves
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After logic,
(a) continue reading Three
Skills for Algebra, chapters 8 to 14 and do so alongside site
area on solving
linear2007 Equations ; or (b) see this calculus
starter lesson and Volume 3, Why
Slopes & More Math, chapters 2 to 6;
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.
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Explore collaborative whiteboards from groupboard,
twiddla or
scriblink.
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Skill and Concept Development and Perfection: To
sing a song, we need to learn all the words. To bake a cake, we need to follow
all the steps in a recipe. To learn or teach mathematics we need to learn and
master all the skills and concepts, one at a time and one after another.
Lessons 1 to 9 and lesson 10 (its intro and the recommended readings) provide
a thought-based foundation for many key skills and concepts. The lessons
and lesson plans are arranged to build skills and concepts, and to give students
a chance to review or learn material from previous
More Online Resources.
- This site area links to many purplemath
lessons. See it Lessons
index and Lessons
in order point to further lessons to explore.
- This site area links to MathsisFun.com
as well Look through its menus Algebra,
Decimals Fractions
Percentages for
further lessons.
- The seeingmath
website offers free secondary
school interactives for linear functions and quadratics, etc. that will
be useful in mathematics 436
Offline Resource
Barronsregent.com offers two books
- Lets Review Math A, second edition or later, 12.95 US or 18.95 Canadian at
last look, ISBN 0-7641-2296-7
- Lets Review Math B, second edition or later, 12.95 US or 17.95 Canadian at
last look. ISBN 0-7641-1656-8
These two books together cover senior high school mathematics topic in New
York state, USA. These two books together provide a good base for
mathematics 436 and 536 topics but the two books together miss some topics
considered important in Quebec while covering others considered to be important
in New York.
Remarks for Students in Quebec in mathematics 436.
The aim of this site area is to support English language learning and
teaching in mathematics 436. The textbook for this course presents a few topics
out of sequence and introduces symbols without any introduction or explanation.
That and the unnecessary hard nature of the final examinations turns this course
into a sadistic event in Quebec high school environment. My aim is
to point to, if not provide, clearer and simpler explanations for many course
topics. Some site lessons and lessons plans make the hard easier to learn and
teach.
An alternate textbook: I would suggest following works
Louise Lafortune et al, Mathematique 436, Collection Mathophilie,
Tome 1 et 2, Guerin, Montreal Quebec, 514 842 3481 - Cost for schools: 34 CDN
or less
for the use of English schools in Quebec, as is or translated. These two
French language tomes offer clear, readable and logical development.
Quibble (i) The identification of functions in Mathematique
436, Collection Mathophilie, Tome 1, with sets of ordered pairs, their
graphs, is rather abrupt and without context - a problem in other well-written
textbooks as well. The introduction of functions at this site offers a less
abrupt route.
Quibble (ii) The indication that proofs in mathematics
depend on axioms or assumptions in Mathematique 436, Collection
Mathophilie, Tome 1or 2, is not followed by the statement of any.
A Protest
The approved pair of English language textbooks I and II written by Guy
Breton et al. for mathematics 436 is incoherent. For example, the word define
appears in Book 1, while the discussion of what is a definition appears
only in Book 2. Moreover many or most key words and concepts appear in
bold-face type, but are not clearly defined. It appears that some concepts are
out of sequence and others appears in name only.
Even if 95% or more of the mathematical statements and
definitions in these two books are correct or justified in one way or
another, their presentation is incoherent. Inconsistency and incoherency
in the editing or content of books I and II is indicated by the repeated use
of the two words define or definition in the algebraic developments of Book I
while the first chapter of Book II explains what a definition is or should be.
The first chapter of Book II also talks about and explain ideas in logic
previously met or used in Book I. The books themselves includes many key
terms and concepts in bold face type, but they fail to provide clear
definitions and a clear logical development of skills and concepts.
To see a clear and better model for the development of mathematical skills
and concepts, one that a mathematician can appreciate in all or part, see
Mathematique 436, Collection Mathophilie, Tome 1 et 2 - teachers may compensate
for the two quibbles above.
Quebec High School Geometry
While the site treatment of Euclidean geometry is self-contained and
sufficient for most of the proofs seen in final examinations, in
order to fulfill obligations of a Quebec mathematics 436 instructor,
I need to write a lesson or two to clarify matters, to show how
assumptions in Euclidean geometry in the plane can be implied by assumptions
about transformation geometry implicit or missing in Quebec
textbooks. See next item.
Including transformation geometry in Quebec high schools while most students
have difficulty with fractions and algebra distract studies and instruction from
key and missing material. Talking about composite transformation in the
plane or space months or years before students have met functions and function
composition points to a lack of synchronization between algebra and geometry in
the official high school program.
In Quebec mathematics courses, the emphasis of transformation
geometry (dilatations, translations, rotations and reflections) begins in
secondary II an continues through secondary III and now secondary
IV. While this chain of reasons can lead to properties of transformations
and hence an alternate base for proofs in Euclidean geometry, college level
instruction in mathematics does not require the study of transformation
geometry.
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www.whyslopes.com
Lesson & Lesson Plans for
Secondary IV
a reference for learning and teaching functions, polynomials, solving linear
systems,
powers + exponents + bases + radicals (roots) , quadratic formulas, equations
of straight lines
1A. Master Logic
1B. Problems Solving Method
2A Solve Linear Equations i
2B.Solve Linear Equation II
2C Use Equal Sign Properly
2D. Perfect Arithmetic Skills
3 Words & Symbols
3 Goals to Set for Students
4 Use Equations Backwardly
5. Master Functions & Relations
6. Exponents & Radicals I
7. Straight Lines
8. Polynomials (x,/,+/-)
9. Quadratics
10 Prove it
13 Similarity Scale Factors
12 Trig & Triangles
14 Statistics
MEQ Intermediate Objectives
Remarks for Teachers
Sit down and study - no one else can do that for you.
Advice and Directions
What to do in School & Why
How
to Study Maths & Why
Preparing
for Science
Good News: If you can learn to follow a multi-step
methods in any subject precisely, you should be able to do so in other
subjects, as well. Hint: Start with arithmetic
Words Before Symbols:
What is a Variable?
Level: Secondary II to VI, or Grades 7 to 12)
Introduction
Variation between Examples
Variation of Letters
A letter denotes a variable
Cases of Double Variation
Three Notions of a Variable
Constants, Parameters
& Variables
Talking about numbers
Dependent
or Independent
Variable, a Matter of Choice
Complex number starter lesson
Arithmetic Videos
Fractions
Primes
Greatest Common Divisors
Least Common Multiples
Square Root Simplification
Arithmetic Videos
Decimal Addition Methods
Decimal
Subtraction Methods
Decimal
Multiplication Methods
Decimal Division Methods
Fraction
Starter Lesson
(simplify, multiply, divide &
then add or subtract)
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