Math Song III

To melody of the Farmer and the Dell
C
F C
G C

alt

/ \ /
c c c

f f f

c c c

g/b g/b g/b



Numbers have factors,
that make them composite or prime
the gcf is shared
and the LCM combined

counting starts us off
whole adds in zero
integers are negative
fractions, rational

associate is to pair
commute means move around
identity means make no change
inverse undoes it all

distribution is useful
you pass a value through
to every term in paranthesis
is all you have to do!

addition groups the same
multiplication does it again
exponents nest repeatedly
PEMDAS is how to begin

adding fractions is tough
the base must alike
find the LCM and use the MI
to make adding them alright

dividing by a fraction
is the same as flip and multiply
and multiplying by less than one
is more like dividing

negative times a negative is a positive
you may not divide by zero because is undefined
there aren't make other tricks to stumble with
as long as we keep this song in mind


Proportional Reasoning

ratio is part to part
fraction is part to whole
decimal is a divided fraction
and they all are rational

dimensional analysis is great
it converts units with ease
use the multiplicaite identity
and flip it to meet your needs

theoretical probability is a breeze
you make a probability tree
and consider everything
that could be a possiblity

experimental probability is fun
all you need are the results
You don't need to a tree
because you are already done!

binomial means either or
Pascal studied it a lot
he made a triangle so
we did not have to make a plot

to find a value in a row
add the pair above
the triangle grows repeatedly
and fits like a glove

combinations are subsets
they contain different things
a permutation is an arrangement
with everything contained

fundamental theorem of counting
is used for solving trials
in combations multiply
in permutations factorial

Geometry Words

Acute is less than right,
Obtuse is right plus some
A right angle makes complements
and supplements are straight*

Adjacent share a side,
Opposites are across
corresponding look the same
these truths are used in proofs

Lines go on forever,
Parallel never touch
perpendicular are right*
A transversal runs across

Equilateral is alike,
Isosceles are twins
Scalene are all different
inequality tells us when

The base is on the bottom,
altitude goes right to the vertex*
The area is ½ b*a
the perimeter is around

quadrilaterals have four sides,
they sum to 360,
and have a bunch of funny names that
are so confusing

a trapezoid has one set,
a rhombus is a tilted square
the rest are all parallelograms*
except the trapezoids

polygons have latin names
that count aloud their sides
first pentagons, then hexagons
sept, oct, nano and dec

diagonals connect the vertex,
starting sides -2
then repeat dropping one each time
factorial helps us through

sum of angles is a treat,
sides -3 times 180,
triangles make them apothem
times perimeter then divide by 2*

a pyramid has one base,
a prism is always 2
a circle makes a cone
or a cylinder for you

the edges connect the vertex,
the faces makes the sides
area sums all of them and
the volume is inbetween

linear systems of equations
have one solution or none
try to eliminate
or substitution

al-gebra means move around
but refer to your properties
or errors will abound
two column notes will rememdy

equality means take both sides
when subtracting or adding
and don't forget to us each term
if you want to multiply

area model works
where foil is a drag
just fill your L and draw the lines
first across and then go down

functions are 1:1
they pass the vertical line test
translate, transform or compose 'em
to help you achieve your best

polynomials have multiple terms
with constants and variables
they are made from monomials

linear equations perform
constant rates of change
slope is rise over run
intercept is where to start

quadratics make a U
of x to the power of two
it has two roots, one or none
an absolute value makes us blue

exponents have a base to a power
that rise up like a J
rate of change is variable
iterest uses it each day

inverse divides by x
it creates an asymptote
Xeno ran and ran and ran
boy, he has no hope!

logs approach a max
for pH in chemistry
it models population growth
in biology

Positive correlation means
when x is up, so is Y
but if y then drops
its negative

a graph helps you see
the patterns that appear
first x, then y repeatedly
keeps your axes clear