itty bitty reactions mathscience innovation center 2009
TRANSCRIPT
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ITTY BITTY REACTIONS
MathScience Innovation Center
2009
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What makes Alka-Seltzer fizz in water?
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What do you think caused one lid to pop before the other?
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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.
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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
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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
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Lets Review
Formulas
Surface Area
Ratios
Volume Dimensions
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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
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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
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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
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Write down the formula for surface area in your journal.
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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
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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
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Write down the formula for volume in your journal.
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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
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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?
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Each group will need:
Bag of BlocksCalculators
Ruler and Pencil
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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
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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
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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?
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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?
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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
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Deconstructing A Cube
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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.
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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?
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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.
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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.
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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
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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.
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Please put all 64 cubes and the 4 rulers back into the bag.
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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
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1. Finish the chart
2. Plot the last 2 points
3. Answer questions 1 – 3.
8 minutes
INDEPENDENTLY
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What happened to the total volume as the cubes got
smaller?
=
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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
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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
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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
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What does this have to do with chemical reactions?
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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
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Itty Bitty Reactions at the Nanoscale
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Using what was discovered today, explain why one lid popped quicker than the other
lid during the Alka-Seltzer experiment.
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Each group needs
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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
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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
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Goggles must be worn at all times during the final activity.
You have ten minutes to completeExperiment and clean up.
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Thank you!