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SpeakEasy Math: Part IV
by Bill Lauritzen
associative property
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7
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grouping property
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5
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commutative property
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7
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switching or order property
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5
|
distributive property
|
7
|
spreading property
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5
|
substitution
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4
|
trade
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1
|
identity element of mult.
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13
|
same-same for times
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4
|
identity element of add.
|
11
|
same-same for add
|
4
|
inequality
|
5
|
no-match
|
2
|
unknown
|
2
|
not-known
|
2
|
variable
|
4
|
changeable
|
3
|
coefficient
|
4
|
front
|
1
|
diagonal
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4
|
across
|
2
|
equiangular
|
5
|
match-niked
|
2
|
angle bisector
|
5
|
nik
halfer
|
3
|
exponent
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3
|
pow
|
1
|
origin
|
3
|
start
|
1
|
abscissa
|
3
|
x-line
|
2
|
ordinate
|
3
|
y-line
|
2
|
coordinates
|
4
|
facets
|
2
|
x coordinate
|
5
|
x facet
|
3
|
intercept
|
3
|
cut
|
1
|
y-axis
|
3
|
y-line
|
2
|
x-axis
|
3
|
x-line
|
2
|
y-intercept
|
4
|
y-cut
|
2
|
x-intercept
|
4
|
x-cut
|
2
|
quadrant
|
2
|
fourth
|
1
|
domain
|
2
|
home
|
1
|
range
|
1
|
--
|
1
|
linear equation
|
6
|
line-match
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2
|
quadratic
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3
|
twoed or pow-two
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1
|
quadratic equation
|
6
|
pow-two match
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2
|
parabola
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4
|
throw
|
1
|
hyperbola
|
4
|
over-throw
|
3
|
eccentricity
|
5
|
ovalness
|
3
|
prime number
|
3
|
--
|
3
|
composite number
|
5
|
patterned number
|
4
|
highly composite
|
5
|
versatile
|
3
|
sequence
|
2
|
follow
|
2
|
sequential
|
3
|
following
|
3
|
arithmetic sequence
|
6
|
add-same
|
2
|
geometric sequence
|
6
|
times-same
|
2
|
series
|
2
|
--
|
2
|
binomial theorem
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6
|
2-term rule
|
3
|
completing the square
|
5
|
finish the twoed
|
4
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Properties = Facts
properties of equality
|
8
|
balance fact
|
4
|
transitive property
|
6
|
swap fact
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2
|
substitution property
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7
|
swap fact*
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2
|
addition property
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6
|
add fact
|
2
|
multiplication property
|
8
|
times fact
|
2
|
distributive property
|
7
|
spreading fact
|
3
|
reflexive property (A=A)
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6
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is fact
|
2
|
symmetric property
(if A=B, then B=A)
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6
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turn-same fact
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3
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the inverse
(p>q, not p>not q)
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3
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the not
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2
|
the converse
(p>q, q>p)
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3
|
the flip
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3
|
conditional statement
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6
|
if-say
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2
|
complement
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3
|
fill
|
1
|
* transitive
and substitution are not both needed
trigonometric tables
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7
|
3-nik tables
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4
|
trigonometric ratios
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7
|
three-nik "to"s
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3
|
adjacent
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3
|
by
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1
|
opposite
|
3
|
far
|
1
|
hypotenuse
|
4
|
long or shlong
|
1
|
sine ratio = far/long or FoL [far side over long side]
cosine ratio = by/long or BoL [by side over long side]
tangent ratio = far/by or FoB [far
side over by side]
cosecant ratio = long/far or LoF [long side over far side]
secant ratio (4) = long/by or LoB
[long side over by side]
cotangent ratio (5) = by/far or BoF [by side over far side]
[sin/cos = tan, this is immediately evident when you write FoL/BoL = FoB]
Thus:
sin = fol (far over long) or f:l or f/l or F/L or F:L
sin
|
1
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fol (far over long) or
(far over shlong)
|
1
|
cos
|
2
|
bol
|
1
|
tan
|
2
|
fob
|
1
|
csc
|
3
|
lof
|
1
|