ITTY BITTY REACTIONS MathScience Innovation Center 2009.

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!