Transcript ITTY BITTY REACTIONS

ITTY
BITTY
REACTIONS
MathScience Innovation Center
2009
What makes Alka-Seltzer fizz in
water?
What do you think caused one lid
to pop before the other?
To respond to a question:
• Wait for polling to open.
• Select your response.
• You do not have to turn
on your responder, it is
ready to go.
Why do scientists use models to study
different objects or processes?
1. Process happens too
fast or slow naturally
2. The original object is
too small or too large
3. The original process is
too dangerous
4. All of the above
5. 1 and 3
0%
an
d
1
ft
he
ll
o
A
3
...
0%
5.
..
na
.
4.
e
3.
Th
e
Th
2.
0%
or
ig
i
na
.
..
or
ig
i
ha
p.
s
es
Pr
oc
1.
0%
..
0%
15
TODAY WE WILL…….
Build Models
Calculate
ratio
3.5
Create
3
2.5
2
ratio
1.5
1
0.5
0
8
9
10
11
12
13
14
15
16
17
Test
Lets Review
Ratios
Formulas
What are the dimensions of a
cube?
Height
1. Faces
2. Length
3. Edges
4. Width
5. Height
6. All of the above
7. 2, 4, and 5
Length
0%
an
d
5
...
2,
4,
t
ll
o
A
6.
0%
ft
he
ei
gh
H
5.
W
id
4.
0%
7.
0%
th
0%
ge
s
Ed
3.
Le
ce
2.
Fa
1.
0%
ng
th
s
0%
:15
What is surface area?
N
4.
3.
Th
0%
2
an
d
3
...
5.
e
on
e
ou
ty
0%
of
th
e
..
se
.
nt
.
W
ha
2.
am
ou
e
Th
1.
0%
of
...
0%
..
0%
ar
ea
1. The amount of space an
object takes up
2. What you see
3. The area of all the faces of a
three dimensional figure
4. None of the above
5. 2 and 3
15
How could we find the surface area
of a cube?
Lwh
2lw + 2lh + 2wh
6s2
½ bh
2 and 3
1 and 4
1
an
d
4
0%
3
0%
an
d
2
bh
2
0%
½
+
h
2l
+
0%
6s
h
Lw
w
0%
2w
h
0%
2l
1.
2.
3.
4.
5.
6.
15
Write down the formula for
surface area in your journal.
What is volume?
15
Seconds
Remaining
1. The amount of space an
object takes up
2. What you see
3. How many edges there are
5. All of the above
6. 2 and 3
2.
3.
1.
Th
e
am
ou
nt
o
fs
pa
..
W
ha
Ho
ty
w
ou
m
an
se
y
e
ed
ge
5.
s
Al
t..
lo
.
ft
he
ab
ov
e
6.
2
an
d
3
0% 0% 0% 0% 0%
How can we calculate the volume
of a cube?
lwh
2lw + 2lh + 2wh
6s2
s3
2 and 3
1 and 4
4
1
an
d
3
an
d
2
s3
2
6s
..
2l
w
+
2l
h.
lw
h
2.
15
17% 17% 17% 17% 17% 17%
1.
1.
2.
3.
4.
5.
6.
Write down the formula for volume
in your journal.
A scatter plot…
15
1. Shows data frequency
2. Shows relationship between 2 variables
3. Shows relationship of the parts to the
whole
33% 33%
33%
ratio
3.5
3
2.5
2
ratio
1.5
1
0.5
0
..
Sh
ow
s
re
la
tio
n.
la
tio
n.
..
17
re
16
ow
s
15
Sh
14
..
13
fre
.
12
ta
11
da
10
ow
s
9
Sh
8
The Surface Area of a cube is 24 cm2.
The volume is 48 cm3
What would be the ratio of the
surface area to the volume?
Each group will need:
Ruler and Pencil
As a group make one
large cube using the 64
small cubes.
Measure a side to the
nearest centimeter.
3 minutes
Calculate the: volume (s3)
surface area (6s2)
3 minutes
Fill out only the
boxes in yellow
Length
(cm)
8 cm
SA
V
# of
cubes
made
lg.
med.
sm.
1 cm
.5 cm
Total
Surface
Area
Total
Volume
SA/V ratio
How do we calculate
the total surface area
and volume?
Fill out only the
boxes in yellow
Length
(cm)
8 cm
SA
V
384 sq cm 512 cu cm
# of
cubes
made
1 lg.
med.
sm.
1 cm
.5 cm
Total
Surface
Area
Total
Volume
SA/V ratio
How do we calculate
the total surface area
and volume?
Fill out only the
boxes in yellow
Length
(cm)
8 cm
SA
V
384 sq cm 512 cu cm
# of
Total
cubes Surface
made
Area
1 lg.
med.
sm.
1 cm
.5 cm
384 sq cm
Total
Volume
512 cu cm
SA/V ratio
384/512 = .75
12
11
10
9
8
SA/V Ratio
Plot
your
first
point
7
6
5
4
3
2
1
0
1
2
3
4
5 6
Length
7
8
9
10
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Deconstructing A Cube
Make as many medium (4cm x 4cm x 4cm)
cubes as you can using all 64 cubes.
Find the surface area and
volume for ONE of the
medium cubes.
5 minutes
How many medium cubes did your
group create?
How can your group find the total
surface area and total volume
using the data just gathered?
Record the information for
one medium cube in the
boxes.
Length
(cm)
8 cm
4 cm
SA
V
384cm2 512cm3
# of
Total
cubes Surface
made
Area
1 lg.
med.
sm.
1 cm
.5 cm
384cm2
Total
Volume
512 cm3
SA/V ratio
0.75
Record the information for
all medium cube in the
boxes.
Length
(cm)
8 cm
4 cm
SA
V
384cm2 512cm3
96 sq
cm
64 cu
cm
# of
Total
cubes Surface
made
Area
1 lg.
8 med.
sm.
1 cm
.5 cm
384cm2
Total
Volume
512 cm3
SA/V ratio
0.75
Length
(cm)
8 cm
4 cm
2 cm
1 cm
.5 cm
SA
V
384cm2 512cm3
96 sq
cm
64 cu
cm
# of
Total
cubes Surface
made
Area
Total
Volume
SA/V ratio
1 lg.
384cm2
512 cm3
0.75
8 med.
768cm2
512 cm3
1.5
sm.
Find the surface area and
volume of one small cube.
Calculate the total surface
area, total volume, and SA/V
ratio.
Don’t forget to plot your point.
5 minutes
Please put all 64 cubes and the 4
rulers back into the bag.
LOOKING FOR PATTERNS
Length
(cm)
SA
V
SA/V ratio
384cm2
512 cm3
0.75
64 cm3
8 med.
768cm2
512 cm3
1.5
8 cm3
64 sm.
1536 cm2
512 cm3
3.0
384cm2 512cm3
4 cm
96 cm2
2 cm
24 cm2
.5 cm
Total
Volume
1 lg.
8 cm
1 cm
# of
Total
cubes Surface
made
Area
INDEPENDENTLY
1. Finish the chart
2. Plot the last 2 points
3. Answer questions 1 – 3.
8 minutes
What happened to the total volume
as the cubes got smaller?
=
20%
cm
0.
5
20%
1
20%
cm
cm
20%
4
cm
20%
2
8 cm
4 cm
2 cm
1 cm
0.5 cm
8
1.
2.
3.
4.
5.
cm
Which size cube had the greatest
TOTAL surface area?
10
As the cubes got smaller, the ratio
of the surface area to volume ____
33%
R
33%
ec
re
a
se
se
d
cr
ea
In
em
ai
ne
d
th
e
s.
..
33%
D
1. Remained the
same
2. Increased
3. Decrease
10
Independent
12
variable
Dependent
variable
11
10
9
SA/V Ratio
8
7
6
5
4
3
2
1
0
1
2
3
4
5 6
Length
7
8
9
10
11 12
What does this have to do with
chemical reactions?
Nanoscale
One strand of hair
Width = 0.1 mm
= 100,000 nanometers
Red Blood Cell
Width = 0.006 mm
= 6,000 nanometers
DNA
1 nanometer = one
billionth (10-9)
meter
Width = 0.000003 mm
= 3 nanometers
Itty Bitty Reactions at the Nanoscale
Using what was discovered today, explain
why one lid popped quicker than the other
lid during the Alka-Seltzer experiment.
Each group needs
ALKA-SELTZER
•Put goggles on
•Put film canister in sm. tub
•Fill film canister to line with water
•Place lid on canister quickly
Start timer and STAND BACK
Clean-Up Procedures
WIPE goggle rims
EMPTY water
DRY canisters, measuring cups, and containers
with a paper towel.
PUT timer and goggles back into bag.
BRING everything to front of room
You have ten minutes to complete
Experiment and clean up.
Goggles must be
worn at all times
during the final
activity.
Thank you!