Proportion
Proportions – Two _________________ that are ___________
Proportions are_________________ if their ______________________ is also equal.
Examples
3
1
=
4
5
6
30
=
10
50
3.2
9.6
=
0.7
2.1
__ = __ __ = __ __ = __ A ratio demonstrates the relationship between
_________________.
Example:
21
30
28
40
Ratios are not always _____________________.
What is the difference between a ratio and a
proportion?
2
Name
_____________________________
Date
___________________
Ratios
State whether the ratios are proportional. Write yes or no.
SHOW YOUR WORK!
1.
1
2.
3
48
11
,
4
33
5.
22
4
1
9
8
12
6
8.
14
5
15
6
4
9
11.
9. 20
8
2
,
20
261
29
26
,
6
12. 56
21
96
58
79
15. 21
23
84
35
,
8
28
8
35
,
7
14.
10
16
,
15
36
,
9
88
92
,
,
69
72
16
,
28
13.
8
6. 23
3
,
10.
,
16
,
7.
1
,
2
4.
3. 2
,
40
3
4
Name: _____________________ Oh yeah! UNIT RATES Unit Rate: For example: $0.49/ lb. Can you think of one?? These ‘naners cost $0.49 for one pound 20 miles in one hour HOLD UP! When determining unit rate, always write a ratio of the units first! Example 1. A car travels 170 miles in 3 hours. At what unit rate is the car traveling? UNITS RATE UNIT RATE We need to figure out how many miles the car will go in one hour… that is its unit rate! Example 2. A panda swags 40 times in 25 seconds. At what unit rate is the panda swagging? UNITS RATE UNIT RATE 5
You’ve got this! UNIT RATES Show Me Whatcha Got 1. Rhianna’s new album just hit iTunes. On it, there are 8 songs, and it costs $9.00. What is the cost of one song? You will typically see money in the numerator of your rate.
UNITS RATE UNIT RATE Show Me Whatcha Got 2. Michael Jackson invented the “Moon Walk”. He walked 8 steps in 5 seconds. At what unit rate was he moon-­‐walking? UNITS RATE UNIT RATE Show Me Whatcha Got 3. One day in tutoring, we counted how many Takis were in one bag. There were 22 Takis. If a bag of Takis cost $1.50, how much does each Taki cost? UNITS RATE UNIT RATE 6
Directions: Show all work and solve
1.) Jose can run 2 miles in 13 minutes. Julio can run 5 miles in 45 minutes. Who can
run the fastest mile?
2.) Airplane A travels 1,824 miles in 4 hours. Airplane B travels 2,334 in 6 hours.
Which plane is traveling at a faster rate per hour?
3.) Julie’s snack has 5 grams of fat in a 10 oz bag. Stephanie’s snack has 2 grams of fat
in a 2 oz bag. Which snack is healthier? How do you know??
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Unit Rate Practice
SHOW YOUR WORK
_____________________
Name:
Date: _________ Period:
______
1.
The Wright Pen Company sells 3-pen packages for $1.50. Which company sells pens
for the same price per pen?
A
Jones Pen Company
B
Cavazos Pen Company
4-pen packages for $2.50
5-pen packages for $3.00
C
Smother Pen Company
7-pen packages for $3.50
D
Nottingham Pen Company
9-pen packages for $5.00
2..
Ms. Petrie bought a 5-pound bag of white potatoes for $4.25. If red potatoes sold for
$0.89 per pound, did Ms. Petrie make the better buy? SHOW WORK.
3.
4.
A store sells potatoes in 5-pound bags for $2.29. Which of the following bags of
potatoes would be the same price per pound?
A.
A 20-pound bag for $8.80
C.
A 10-pound bag for $4.58
B.
A 2-pound bag for $1.02
D.
A 7-pound bag for $3.01
Mrs. Farkouh bought 8 pounds of potatoes for $3.92. Which of the following
represents the same price per pound? SHOW WORK
F.
G.
H.
J.
10 pounds of potatoes for $4.70
25 pounds of potatoes for $11.25
5 pounds of potatoes for $2.45
20 pounds of potatoes for $9.60
5.
Louise wants to buy some socks. The packages of socks she could buy are listed
below.
4 pairs of socks for $12.64,
6 pairs of socks for $18.00
Which package has a lower cost PER SOCK? SHOW WORK
8