Name ____________________________________________
Made to Measure Quiz 1
Date ______________________
Page 1 of 2
Use additional paper as needed.
1. a. Use a historical measurement unit related to the human
body to find the length and width of the sheet of paper this
quiz is printed upon.
Length: ____________
Width: ____________
b. Explain why you chose the measurement unit you did.
c. Explain why it is not likely that everyone in your class got
the same answer for part a.
d. Use a centimeter ruler to find the length and width of the
sheet of paper this quiz is printed upon. Write your
measurements in whole centimeters.
Length: ____________
Width: ____________
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e. Why should all of the students in this class get the same
answers for part d?
2. Fill in the blanks in the statements below.
a. 1 m = _____ cm
b. 1 dm2 = _____ cm2
c. 10 cm is about the same size as _____ inches.
d. 1 mile is about the same length as _____ kilometers.
e. The surface area of the sheet of paper this quiz is printed on
is _________ than one square decimeter.
(less/more)
44
Made to Measure Quiz 1
Mathematics in Context
Page 2 of 2
Made to Measure Quiz 1
3. In a survey, people were asked how far they commute daily
from home to their place of work. Below are some of the
responses.
• Jody said, “I commute about three miles to get to work
every day.”
• Carl said, “It takes me about 15 minutes to walk to
my office.”
• Brenda said, “I live a little less than 8 km from my work.”
a. Who do you think lives the closest to his or her place of
work, Jody, Carl, or Brenda?
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b. Give mathematical reasons to support your reasoning.
Mathematics in Context
Made to Measure Quiz 1
45
Made to Measure Quiz 1
Solution and Scoring Guide
Possible student answer
Suggested number
of score points
Problem level
1. a. Accept any reasonable answer. Students may
use the hand span or thumb measurement units
to determine the length and width of the sheet
of paper.
3
I
b. Accept any reasonable answer. Sample student
answer: I chose hand span and thumb because
the other historical measurement units like foot
and yard are too large to measure this sheet
of paper.
1
I
c. Sample explanations:
• Students may have used different units.
• Every student has different-sized hands
and thumbs.
• It is difficult to measure the dimensions
accurately using historic measurement units.
1
II
d. The dimensions will probably be close to
21 cm width and 28 cm length.
2
I
e. Sample student answers:
• With a centimeter ruler you can be very
accurate.
• Everyone used the same type of ruler, so the
size of the ruler and the marks for cm are
equal for all students.
• Student answers may differ if answers were
given in mm, but all of the answers for length
and width should be close to the same size.
1
I
5
I
1
II
b. Sample reasoning:
• Jody probably travels 3 miles in about
5 minutes.
• Carl lives about 1 km, or less than 1 mile,
from work.
• It would take Brenda about an hour and
a half to walk to work.
1
II
Total score points
15
2. a. 1 m 100 cm
b. 1
dm2
100
cm2
c. 4
d. 1.5 or 1.6
e. more
3. a. Carl lives the closest to work.
50
Made to Measure Quiz 1
Mathematics in Context