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MATH 015 – CLASS 1 HANDOUT
1. Creating a bar graph and getting to know the people in your class
Your professor will lead your class in conducting a survey of the students in your
class, to see how many courses each person is taking at Brookdale. Together, record
the results here.
Number of courses Frequency:
a) Create a bar graph below based Number of students in your
on the table you completed on the class taking that many
right. courses
1
b) What is the title of the 2
vertical axis? 3
4
5
c) What is the title of the horizontal 6
axis?
y
d) What is the highest bar on your
graph? What does it tell you about
the students in your class?
e) What is the lowest bar on your graph?
What does it tell you about the students in
your class?
x
0
2. Division with remainder
a) A candy maker made 100 chocolates. They are to be packed in boxes containing one
dozen pieces per box.
i) How many boxes will he need?
ii) How many pieces of chocolate will be left over?
b) A resort in Disney World has busses that take visitors from the hotel to the theme
park. 843 people will be traveling from the hotel to the park. If each bus can hold 75
people,
i) how many busses will be needed?
ii) Assuming all the busses are full except the last bus, how many will ride the last
bus?
1
3. Analyzing a line graph
The line graph below shows the number of immigrants in thousands entering the
United States in each decade since 1900.
Use the graph to answer parts a – e:
a) During which decade was the
number of immigrants lowest? Immigrants to the United states
10,000
8,795 9,095
9,000
Number of Immigrants
8,000 7,338
(in thousands)
b) What might be an explanation 7,000 5,736
for the low number of 6,000
5,000 4,493
immigrants who came to the US 4,107
during that decade? 4,000
2,515 3,322
3,000
2,000 528
1,000
1,035
0
1901-1910
1911-1920
1921-1930
1931-1940
1941-1950
1951-1960
1961-1970
1971-1980
1981-1990
1991-2000
c) It is often easier to read a
number when it is in rounded
form. The number of immigrants
from 1981 to 1990 was Years
7,338,000. Round this to the
nearest million.
d) Find the total number of immigrants who came to the US from 1961 to 1990. List all
the numbers that you used.
e) With the class, discuss whether you or your ancestors immigrated to the US and
whether the immigration occurred during any of the listed decades. In the class, were
there people from each decade, or were there some decades with no students or their
ancestors represented?
4. Translations of words
a) In the previous problem, you were asked to find the total. This means to add.
Try to figure out what arithmetic operation the words on the left hand side imply.
The first few have been done for you.
2
Word Operation:
Addition, +
Subtraction, –
Multiplication, ,
Division, , , fraction bar
total addition
decreased subtraction
product multiplication
increased by
gain
fell
times
quotient
minus
sum
difference
less than
more than
subtract from
Use the box above to help decide what operation to use to solve these problems.
b) In 2005, Brookdale Community College awarded 1,534 degrees. The next year, there
were 1,738 degrees awarded. How many more were awarded in 2006 than in 2005?
c) This year, the number of parking spaces available at Brookdale increased by 257.
Formerly, there had been 6,750 parking spaces. How many are there now?
d) Rosalia works part-time in the Bankier Library at Brookdale. Last week, she worked
12 hours and earned $108. How much does she make per hour?
5. Using translations and estimation
For each of the following, find the estimated answer using front-end rounding, then
find the exact answer by hand or using a calculator.
a) Find the sum of 1,832 and 127. b) Find the quotient of 2,550 and 25.
Number Estimate Number Estimate
1,832 ___________ ________________
127 ___________ ________________
Exact answer: ____________ Exact answser _______________
3
c) Go back to the problem 2d) above.
Estimate the total number of immigrants who came to the US from 1961 to 1990.
List all the numbers that you used. Compare your answer and the answer on 2d)
above. Are they close? Explain clearly.
6. Properties of multiplication
When we multiplied 456 32 = 14,592, what happens if we switch the order of the
numbers, and multiply 32 456? We get the same result, 14,592. This is because
multiplication is commutative. This means that the order we multiply two numbers
in does not change the answer.
Give an example using the Commutative property of multiplication.
What if we are multiplying three numbers? Does it matter which two we multiply
first? (The parentheses show which two numbers to multiply first.)
12 3 100 = (12 3) 100 12 3 100 = 12 (3 100)
= 100 = 12
= =
The grouping should not change the answer. This is because multiplication is
associative.
Give an example using the Associative property of multiplication.
7. Area and Perimeter:
Fill in the blanks below, using the words from this list:
area, dimensions, banana split, inches, perimeter, factors
a) Given the deck pictured on the right, the measurements 16 feet by 24 feet are called
the __________________ of the deck.
24 ft
b) If the deck owners were to put a string of lights
around the deck, they would need to know the 16 ft
_________________________ of the deck.
c) If the deck owners were to cover the deck with AstroTurf,
they would need to know the ________________ of the deck.
d) Find the area of the deck. Show work and write the unit.
e) Find the perimeter of the deck. Show work and write the unit.
4
