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
NZ:
findatutor.co.nz
UK:
tutorhunt.com
UK: tutors4me.co.uk
USA:
wiziq.com
USA: ziizoo.com
or employ the site author - View
his WiZiQ profile
- Calculus students are very welcome.
|
|
YOU are better than YOU think. Show
yourself how:
|
// _ _ \\
/\
/\
<| (o) (o) |>
\ | |
/
-/[]\-
||
/ \_
||||||||||||||||||||||||||||
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.
|
// _ _ \\
/\
/\
<| (o) (o) |>
|
| | |
\
/
\ = /
|
Caution: Site advice
is approximately correct, for some circumstances, not all.
Site How-TOs are
logically developed, but not tried and tested. That leaves
room for thought and refinement.. |
-/[]\-
||
_ / \
||||||||||||||||||||||||||||
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.
|
Explore collaborative whiteboards
from groupboard,
twiddla or
scriblink.
|
| |
2.1 Use of the Equal Sign
Here are a few words about the equal sign. The equal sign = is used to say or
suggest the following.
- two different symbols (or expressions) are shorthand for the same number
and quantity.
- two different calculations or expressions give the same result when done,
or
- the value of a number or quantity can be computed using another
expression.
The suggestion in question can be true or false depending on circumstances.
Examples follow:
Here the first equation or equality holds (meaning is true) since both 4+5
and 7+2 are expressions giving the value 9. The second equation r2
= r·r always holds, no matter what value you give to r. It
tells us how to compute the number or quantity described by the expression r2.
The third equation 3x+1 = x+7 holds (is true) when and only when x
= 2. When x has a value other than 2, the statement (suggestion or
assertion) that 3x+1 gives the same result as x+7 is false. The
fourth statement x+4 = x+6 is always false. No value given to (or
substituted for) x will make this statement true. Adding 4 and adding 6
to the same number give different results, no matter what the number is.
Abuse of Equal Sign
The solution of the equation
is given x =3. But is an error, a mistake, a major misuse of the equal sign
to insert an = 3 besides the x in the above equation to obtain
in place of writing x = 3. While a person who writes
x = 3
3
may mean x = 3, the expression
x = 3
3
actually means a third of x is 3.
M Ouch!
| |
A reference for solving linear
equations and for recognizing word problems in essentially one variable.
Skill in arithmetic with fractions is a must for
algebra. .
Area Intro
Proper Use of Equal Sign
A. Letters and Lengths
B.. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E: 2D Systems - Sub Method.
E: Continued
E: Still More
F. Larger Systems
Area Intro
(i) x + 20 = 29 WS
(ii) 2x + 5 = 20 WS
(iii) 3x + 10 = 32 WS
(iv) 5a + 16 = 3a+ 24 WS
(v) (½)x + 8 = 24½ WS
(vi) (¾)a + 16 = (¼)a+ 24 WS
(vii) (¾)q + 17 = 32 WS
(viii) 13 =[2/3]x +7 twice WS
(ix) Animated Examples WS
(a) Integral Coefficients (A)
(b) Integral Coefficients (B)
(c) Fractional Coefficients
(d) With parameters
Up
Proper Use of Equal Sign
A. Letters and Lengths
B.. Solving Linear Eq'ns - WS
C. Solving Linear Eq'ns - No Sticks
D. Almost One
E: 2D Systems - Sub Method.
E: Continued
E: Still More
F. Larger Systems
Arithmetic Videos
Decimal Addition Methods
Decimal
Subtraction Methods
Decimal
Multiplication Methods
Decimal Division Methods
Fractions
Primes
Greatest Common Divisors
Least Common Multiples
Square Root Simplification
Site books and further webpages on learning and
teaching mathematics and pattern based reason may develop critical thinking,
improve reading and writing, and give a base for learning or teaching high
school and college mathematics.
Great_Expectations:
If you can learn to follow a multi-step methods in any subject precisely,
you can do so in other subjects, as well.
Good news: Site pages identify
what you need to study.
Bad news: Site pages do not explain
everything
Worse news: Learning takes time, yours
Lesson Plans and Ideas for Teachers &
Tutors:
Secondary I -
fractions & allied concepts (decimals, percentages)
Secondary
II - Algebra (arithmetic versus algebraic methods, backward use of
formulas and proportionality equations)
Secondary
IV - Functions to Trig & Statistics
Calculus
Intro
Algebra
Lesson Notes - All levels
|