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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. P
roce
ss h
ap...
2. T
he orig
ina.
..
3. T
he orig
ina.
..
4. A
ll of t
he ...
5. 1
and 3
0% 0% 0%0%0%
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
15
TODAY WE WILL…….
Build Models
Create Test
Calculate
ratio
0
0.5
1
1.5
2
2.5
3
3.5
8 9 10 11 12 13 14 15 16 17
ratio
Lets Review
Formulas
Surface Area
Ratios
Volume Dimensions
What are the dimensions of a cube?
1. F
aces
2. L
engt
h
3. E
dges
4. W
idth
5. H
eight
6. A
ll of t
he ...
7. 2
, 4, a
nd 5
0% 0% 0% 0%0%0%0%
1. Faces
2. Length
3. Edges
4. Width
5. Height
6. All of the above
7. 2, 4, and 5
Hei
gh
t
Length Wid
th
:15
What is surface area?
1. T
he am
ount ..
.
2. W
hat y
ou s
e...
3. T
he ar
ea o
f...
4. N
one o
f the.
..
5. 2
and 3
0% 0% 0%0%0%
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?
Lw
h
2lw
+ 2
lh +
2wh
6s2
½ b
h
2 a
nd 3
1 a
nd 4
0% 0% 0%0%0%0%
1. Lwh
2. 2lw + 2lh + 2wh
3. 6s2
4. ½ bh
5. 2 and 3
6. 1 and 4
1515
Write down the formula for surface area in your journal.
What is volume?
15Seconds
Remaining
1. T
he am
ount o
f spa
..
2.
What
you s
ee
3.
How man
y ed
ges
t...
5.
All of
the
above
6.
2 an
d 3
0% 0% 0%0%0%
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
How can we calculate the volume of a cube?
1.
lwh
2.
2lw
+ 2
lh...
6s2 s
3
2 a
nd 3
1 a
nd 4
17% 17% 17%17%17%17%
15
1. lwh
2. 2lw + 2lh + 2wh
3. 6s2
4. s3
5. 2 and 3
6. 1 and 4
Write down the formula for volume in your journal.
A scatter plot…
ratio
0
0.5
1
1.5
2
2.5
3
3.5
8 9 10 11 12 13 14 15 16 17
ratio
Shows
data
fre...
Shows
rela
tion...
Shows
rela
tion...
33% 33%33%
151. Shows data frequency
2. Shows relationship between 2 variables
3. Shows relationship of the parts to the whole
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:
Bag of BlocksCalculators
Ruler and Pencil
Calculate the: volume (s3) surface area (6s2)
As a group make one large cube using the 64 small cubes.
Measure a side to the nearest centimeter. 3 minutes
3 minutes
Length(cm)
SA V # ofcubesmade
TotalSurface
AreaTotal
Volume SA/V ratio
8 cm lg.
med.
sm.
1 cm
.5 cm
Fill out only the boxes in yellow
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384 sq cm 512 cu cm 1 lg.
med.
sm.
1 cm
.5 cm
Fill out only the boxes in yellow
How do we calculate the total surface area and volume?
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384 sq cm 512 cu cm 1 lg. 384 sq cm 512 cu cm 384/512 = .75
med.
sm.
1 cm
.5 cm
Fill out only the boxes in yellow
How do we calculate the total surface area and volume?
0 1
1
2
2
3
3
4 5 6 7 98 1110 12
4
7
6
5
8
9
SA
/V R
atio
Length
11
10
12
Plot your first point
Deconstructing A Cube
5 minutes
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.
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?
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384cm2 512cm3 1 lg. 384cm2 512 cm3 0.75
4 cm med.
sm.
1 cm
.5 cm
Record the information for one medium cube in the boxes.
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384cm2 512cm3 1 lg. 384cm2 512 cm3 0.75
4 cm 96 sq cm
64 cu cm 8 med.
sm.
1 cm
.5 cm
Record the information for all medium cube in the boxes.
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384cm2 512cm3 1 lg. 384cm2 512 cm3 0.75
4 cm 96 sq cm
64 cu cm 8 med. 768cm2 512 cm3 1.5
2 cm sm.
1 cm
.5 cm
Find the surface area and volume of one small cube.
5 minutes
Calculate the total surface area, total volume, and SA/V ratio.
Don’t forget to plot your point.
Please put all 64 cubes and the 4 rulers back into the bag.
LOOKING FOR PATTERNS
Length(cm)
SA V # of cubes made
TotalSurface
AreaTotal Volume SA/V ratio
8 cm 384cm2 512cm3 1 lg. 384cm2 512 cm3 0.75
4 cm 96 cm2 64 cm3 8 med. 768cm2 512 cm3 1.5
2 cm 24 cm2 8 cm3 64 sm. 1536 cm2 512 cm3 3.0
1 cm
.5 cm
1. Finish the chart
2. Plot the last 2 points
3. Answer questions 1 – 3.
8 minutes
INDEPENDENTLY
What happened to the total volume as the cubes got
smaller?
=
Which size cube had the greatest TOTAL surface area?
8 c
m 4
cm
2 c
m 1
cm
0.5
cm
20% 20% 20%20%20%1. 8 cm
2. 4 cm
3. 2 cm
4. 1 cm
5. 0.5 cm
10
As the cubes got smaller, the ratio of the surface area to volume ____
Rem
ained
the
s...
Incr
ease
d
Dec
reas
e
33% 33%33%1. Remained the same
2. Increased
3. Decrease
1010
0 1
1
2
2
3
3
4 5 6 7 98 1110 12
4
7
6
5
8
9S
A/V
Rat
io
Length
11
10
12
Dependent variable
Independent variable
What does this have to do with chemical reactions?
Nanoscale
1 nanometer = one billionth (10-9) meter
Red Blood Cell
Width = 0.006 mm
= 6,000 nanometers
Width = 0.000003 mm = 3 nanometers
Width = 0.1 mm= 100,000 nanometers
One strand of hair
DNA
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 ProceduresWIPE 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
Goggles must be worn at all times during the final activity.
You have ten minutes to completeExperiment and clean up.
Thank you!