Integrated Science discussion

ISCI 1101 (Section 02) – Quantitative Literacy [ISLO-05]

Assigned Date: Feb 05, 2021  Instructor: Siva Paramasivam PhD

Typed Report Due Date: On or Before Feb 10, 2021

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Mathematical Exercise – 01 [M-01]  [100 Points]

Understanding Measurement Systems & Extracting Information

Objective: Understanding Measurements and Extraction of Additional Information

A.  Define / Explain the following:

1.  Referent and Units  [5]

2.  Distinction between Metric Units and English Units   [5]

3.  List of Fundamental Properties and how can you Extract Additional Information  [10]

B.  Laboratory Exercise:

a.  Each student is expected to choose the referent for their own assignment.

b.  Choose at least 6 objects (such as Rectangular, Cubic – at least 3 in each category).  It can be Classroom, Dorm rooms, Big Boxes.         [10]

c.  Measure the length, width, and height and tabulate them in increasing length  [10]

d.  Compute the following from those measurements (See attached sample Handout for details of computation & how to show all computations as shown for all).  [40]

i)  Area

ii)  Volume

iii)  Surface Area

iv)  Ratio of Area to Volume

v)  Ratio of Area to Surface Area

vi)  Ratio of Volume to Surface Area

C.  Extracting Generalized Conclusions from this [ISLO Exercise]:

Write down the generalized observations from this exercise. This should explain if the length of the object increases what will happen to items listed in section (d)  under B.  [20]

Reporting Format:  REFER attached Sample to Present your own measurements and computations in Table Format with Generalized Observations for this [ISLO-05 EXERCISE]

ISLO-5:  QUNTITATIVE LITERACY – SPRING 2021  – ISCI 1101 [Section 02] Assigned Feb 05, 2021; DUE:  Feb 10, 2021

Objective: Understanding Measurement system- Collection and Extraction of Additional Information & Generalization

Section A:

1.  Referent:

2.  Unit:

2.

3.

Section B:

Extracting Additional Information from Basic Measurements related to Cubic and Rectangular Type of Objects and Make Generalization on the basis of if the Length [ONLY] increases what would happen to listed items.

Show the Steps how you calculated the following since the Columns in Table are narrow and enter ONLY final [3 Decimal rounded] answers in Table.

1.  Area

2.  Volume

3.  Surface Area

4.  Other ratios in last 3 columns with appropriate units.

a.  Area/Volume

b.  Area/ Surface Area

c.  Volume / Surface Area

CUBIC  RECTANGULAR

1.  Area =(L x W)  = (10 ft  x 10 ft) = 100 ft2      Area = (L  x  W) = (25ft  x  15 ft) = 375 ft2

2.  Volume = (L x W x H) = (10ft x 10ft x 10ft) = 1000 ft3  Volume = (L x W x H) = (25ft x 15ft x 35ft) = 13,125 ft3

3.  Surface Area = 6 [(L  x W)] = 6[(10ft  x  10ft)] = 600 ft2  Surface Area = 2[(LxW) + (LxH) + (WxH)] = 2[(25ftx15ft) + (25ftx35ft) +(15ftx35ft)]

= 2[(375ft2) + (875ft2) + (525ft2)]

= 2[(1775ft2)]

= 3550 ft2

4.  Area/ Volume =[ 100ft2] / 1000ft3) = 0.100 ft-1    = [375 ft2/13125 ft3] = 0.02857 ft-1 = 0.029 ft-1

5.  Area / Surface Area = [100 ft2 / 600 ft2] = 0.1666    = [375ft2 / 3550 ft2] = 0.1056

= 0.167    = 0.106

6.  Volume / Surface Area = [1000 ft3 /600 ft2]    = [13125 ft3 / 3550 ft2]

= 1.6666 ft    = 3.6971 ft

= 1.667 ft     =3.697 ft

Section C:

 

Cubic: [If the length is going to increase what would happen to the items below based on your own data and per your own calculation]

1.  Area increases

2.  Volume

3.  Surface

4.  Area/Volume decreases

5.  Area/Surface Area constant

6.  Volume/Surface Area increased and then decreased

Rectangular: [If the length is going to increase what would happen to the items below based on your own data and per your own calculation]

1.  Area

2.  Volume

3.  Surface

4.  Area/Volume

5.  Area/Surface Area

6.  Volume/Surface Area

 
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