UNIT 3 - THE MATH-SCIENCE CONNECTION
Why is math important in science experiments and reporting?
Why are patterns important in science?
Patterns tell scientists that something is happening for a reason.
Scientists want to know the reasons!!!
By using the Scientific Method, scientists are able to do three
things with regard to patterns. What are they?
1. _____________________________________
2. _____________________________________
3. _____________________________________
What is the Scientific
Method?
Types of patterns:
Making Measurements in Science
What we measure:
Physical Properties
of Matter
The units we use:
SI Unit
mass
kilogram
linear (length,
width)
meter
liquid capacity
(volume)
liter
temperature
Kelvin
area
square meters
volume (solids)
cubic meters
BASE UNITS:
gram (
liter (
meter (
)
)
_ )
PREFIXES:
kilo
__________
deka
-------
__________
centi
___________
What can we do to get the desired units?
convert - to change from one form to another; changing the units without changing the value.
scientific notation - the powers of ten.
exponent - indicates how many times a number is multiplied by itself.
EXPONENTS
* anything to the zero power is ____________
* anything to the first power is _____________
Fill in the appropriate base number and exponent:
3 x 3 x 3 = ________
6 x 6 = _______
7 = ________
104 = ______________
92 = ________
Solve the following problems:
160 = _______
SCIENTIFIC NOTATION
When using scientific notation, the simplest form means placing only __________ digit before the decimal.
Why do scientists use scientific notation?
Put the following numbers into scientific notation:
626 = ________________
5,477 = _________________
32.75 = _________________
CONVERT
Converting in metrics:
1. Always keep the base unit, but change the _______________ as necessary.
2. Multiply or divide by units of _________.
Solve the following problems by converting to the desired unit (do not change to scientific notation):
1622 mg = __________ g
44 kl = __________ dal
529 cm = ___________ mm
Converting from one unit to another:
Use the appropriate mathematical equation / formula.
To convert from
O
Celsius to
O
Kelvin, you need to add _________ .
Remember, also, you can use formulas to convert from Celsius to Fahrenheit
*
if you know the Fahrenheit temperature, use the formula:
O
C = 5 x ( #
9
*
if you know the Celsius temperature, use the formula:
O
F = 9 x( #
5
O
O
F - 32)
C)
+ 32
Solve the following problems by converting to the desired unit:
46
O
196
F = ___________
O
O
F = ___________
C
O
C
46
O
C = ___________
O
F
346
73
O
C = ___________
O
F
38
O
O
K = ___________
C = ___________
O
O
C
K
MORE MATHEMATICAL FORMULAS
Use the formulas given to solve the following problems. SHOW ALL WORK.
Area = length x width.
A = l x w
Volume = length x width x height.
V = l x w x h
Density = mass / volume
d = m/V
Find the area, volume, and density of an object with a length = 5 m, width = 3 m, and height = 10 m, and
a mass of 140 g.
A = l x w
V = l x w x h
d = m / V
Find the area, volume, and density of an object with a length = 2 m, width = 6 m, and height = 5 cm, and
a mass of 24000 g.
A = l x w
V = l x w x h
d = m / V
Vocabulary:
scientific theory - an attempt to ____________________________________________
observed repeatedly in nature.
scientific law - a ________________________________________________________
observed repeatedly in nature.
estimate - ________________________________________________
precision - how close measurements are ______________________________________________
accuracy - compares a measurement to _______________________________________________
independent variable - something you _______________________________________ in an experiment.
dependent variable - something that changes as a ______________________ of changing the
independent variable.
mass - the ___________________________________ in an object.
weight - the force of _________________ on an object (the pull of gravity).
area - the ________________ occupied by a _______________ - dimensional object.
volume - the ________________ occupied by a _______________ - dimensional object.
displacement - the ________________ of a fluid displaced by a floating body.
density - mass
per unit volume.
d = m
V
SI - the International System of Units