5-1 (Ratios & Rates)
5-2 (Choosing & Converting Units)
5-4 (Solving Proportions)
5-5 (Similar Figures and Proportions)
Vocabulary
100
There are 3 apples and 6 bananas. What is the ratio of apples to bananas?
1/2 1 to 2 1:2
100
Choose an appropriate customary unit for the length of a pencil.
Inches
100
Solve the proportion, 2/9 = 10/a
a=45
100
What sides correspond?
AB~WZ BC~ZY CD~YX AD~WX
100
Define a rate
A ratio that compares quantities measured in different units.
200
According to Kylie, perfect apple pies have a ratio of 240 apples to 3 pies. How many apples does Kylie need to make 9 perfect apple pies?
720 apples
200
Noah likes to drink tea. He drinks 350 liters of tea every 2 days. How many liters of tea does Noah drink every 6 days?
1050 liters
200
Solve the proportion, 3/c = 5/9
c = 5.4
200
Write a proportion form under the two figures. Solve and Simplify.
16
200
What is dimensional analysis?
The process of analyzing units to decide which conversion factor(s) to use.
300
Ava cleans 6 cars in 2.5 hours. If Ava cleans 30 cars at this same rate, how long will it take her?
12.5 hours
300
Use dimensional analysis to convert 1.2 miles to feet.
There are 6,336 feet in 1.2 miles.
300
Solve the proportion, round to the nearest tenth if necessary. n/27 = 4.2/9
n= 12.6
300
A model of a car is 7.5 inches long. The actual length of the car is 15 feet. If the model height is 1.8 inches, what is the car's actual height? The model car and the actual car are similar. Write a proportion.
Actual height is 3.6 feet.
300
What is a similar figure?
Figures that have the same shape but not necessarily the same size. (Sides must have the same ratio.)
400
Write the ratio of 9 inches: 3 feet in simplest form.
1 : 4 1 to 4 1/4
400
Ryan needs 11.2 square meters of fabric for every 3 blankets he makes. How many square meters of fabric would Ryan need to make 6 blankets and 12 blankets? (2 answers)
To make 6 blankets Ryan would need 22.4 square meters of fabric. To make 12 blankets Ryan would need 44.8 square meters of fabric.
400
Solve the proportion, 18/11 = 49.5/s
s= 30.3
400
The two figures shown are similar. Find w.
w= 4.4
400
What is the difference between a ratio and a proportion?
A ratio is a comparison of two quantities by division. A proportion is an equation stating that two ratios are equal.
500
Write the ratio 80 yards / 120 feet in simplest form.
2/1 2:1 2 to 1
500
A cheetah can run as fast as 93 ft/s. Convert the cheetah's speed to mi/h.
63.4 mi/h
500
Which equation has the same solution as 12/a = 45/60? A. 60/a = 12/45 B. 12x60 = 45a C. 12a = 45x60 D. a/12 = 45/60
B. 12x60= 45a a= 16
500
Are these polygons similar? Explain.
No they are not similar.
500
How are cross products found?
The are found by multiplying the denominator of each ratio by the numerator of the other ratio.
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