Lesson 3.5 – Applications of Proportions

Name: __________________________________ Date: ___________________ Hour: ___________
Name: __________________________________ Name: __________________________________
Lesson 3.5 – Applications of Proportions
Follow the directions below and use the rubric to ensure that you receive full credit.
1.)
2.)
3.)
4.)
5.)
6.)
Work in groups of two or three.
Cut out all of the word problems, proportions, and sentences.
Match the word problems, proportions, and sentences.
Complete each proportion.
Solve each proportion.
Glue to construction paper. Poster must be neat and organized.
Follow the rubric to ensure full credit.
a.)
Contains all 12 sets of word problems, proportions, and sentences.
__________ (2 points)
b.)
Word problems, proportions, and sentences are correctly matched.
__________ (3 points)
c.)
All proportions are correctly completed and solved.
__________ (3 points)
d.)
Poster is neat.
__________ (2 points)
__________ (10 points)
Attach this sheet to your completed poster.
Q1
Q2
The classrooms at Faribault Middle School are
The graph shows how many of the eighth
painted every summer (yeah right). If 7
graders participate in each sport. How many
gallons of paint are needed to paint 4 class- students at Faribault Middle School participate
rooms, how many gallons of paint are needed in football if there are 645 total students in the
to paint 16 classrooms?
school and 258 students in 8th grade?
Q3
Q4
∆EFG is similar to ∆XYZ. What is the length The design shown is made using similar trianof side XY?
gles and quadrilaterals. Triangle A is similar to
triangle B and quadrilateral C is similar to
quadrilateral D. What is the value of x for
quadrilateral C?
Q5
Q6
A 128-ounce container of orange juice costs
The graph shows the total distance
$5.12 at the local supermarket. At what price
traveled by a car driving at a constant
should the supermarket sell a 96-ounce conrate of speed. How far will the car have
tainer of orange juice so that the unit rate of
traveled after 10 hours?
the containers is the same?
Q7
Q8
The map of Green Mountains National Park is A scale drawing of a stained glass panel
shown below. How many miles are representis shown below. The actual panel is
ed by 3.25 inches on the map?
56 centimeters wide. How tall is the
panel?
Q9
Q10
Old Faithful in Yellowstone National Park
Mr. Lombard wanted to measure the distance
shoots water 60 feet into the air and casts a across the river, but he cannot swim. Using the
shadow of 42 feet. What is the height of a
illustration below, what is the distance across
nearby tree that casts a shadow 63 feet long?
the river?
Q11
The diagram shows the length of a fork
from the cafeteria. How many centimeters
long is the fork? (Hint: 1 in = 2.54 cm)
Q12
Mr. Harman is making a cake and the recipe
calls for 10 oz. of milk. How many cups of
milk does Mr. Harman need?
(Hint: 1 cup = 8 ounces)
P1
P2
5 inches

x inches
P3
x ft
60 ft

P4
8 oz.


x cups
P5
20 ft
30 ft
P6
40 miles

7 gallons
3.25 inches
P7
 16 classrooms
P8
38 students

645 total
students
P9
3 hours

6 inches
21 inches

10 hours
P10
2.54 cm

x cm
P11
P12
128 oz

96 oz

x cm
56 cm
S1
On the map of Green Mountains National
Park, 3.25 inches represents ______________.
S3
S2
The 96 oz. container of orange juice should
cost _______________ to have the same unit
rare as the 128 oz. container.
S4
The actual panel of the stained glass window
________________________ play football at
is __________________ tall.
Faribault Middle School.
S5
S6
The length of side XY is ________________. The height of the tree is _________________.
S7
S8
Mr. Harman needs _______________ of milk
The fork from the cafeteria measures
to make his cake.
approximately ________________ long.
S9
The distance across the river is ___________.
S10
________________________ are needed to
paint 16 classrooms at Faribault Middle
School over the summer.
S11
The length of the missing side in quadrilateral
C is ________________.
S12
If the car travels at the same constant speed
then it will travel ________________ in 10
hours.