MATH 015 â€“ CLASS 1 HANDOUT

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```					               MATH 015 – CLASS 1 HANDOUT
1. Creating a bar graph and getting to know the people in your class
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    
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
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:
Subtraction, –
Multiplication,  , 
Division,  ,   , fraction bar
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.
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

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