3-2 Connect Percent to Proportion

Category 1: Definitions

100

What is a percent? 

A number or ratio that can be expressed as a fraction out of 100. 

200

What is a proportion?

A ratio set equal to another ratio (solve for x).

300

What is a numerator?

The top number of a fraction - showing how many of the parts indicated by the denominator are taken. 

400

What is a denominator?

The bottom number of a fraction - a number representing the total.

500

What is a ratio?

The relationship or comparison between two numbers of the same unit. Compares values.

Category 2: Converting Fractions to Percents

100

Convert 1/4 to a percent.

Extra 100 Points - Solve using long division.

.25 x 100 = 25%

200

Convert 5/8 to a percent.

Extra 100 Points - Solve using long division.

.625 x 100 = 62.5%

300

Convert 3/5 to a percent.

Extra 100 Points - Solve using long division.

.6 x 100 = 60%

400

Convert 2/3 to a percent.

Extra 100 Points - Solve using long division.

.66 x 100 = 66.6% (Repeating)

500

Convert 7/10 to a percent.

Extra 100 Points - Solve using long division.

.7 x 100 = 70%

Category 3: Converting Decimals to Percents

100

Convert .25 to a percent, using multiplication.

.25 x 100 = 25%

200

Convert .6 to a percent, using multiplication.

.6 x 100 = 60%

300

Convert .75 to a percent, using multiplication.

.75 x 100 = 75%

400

Convert .3 to a percent, using multiplication.

.3 x 100 = 30%

500

Convert .9 to a percent, using multiplication.

.9 x 100 = 90%

Category 4: Proportions

100

Solve the proportion: 

5/8 = x/100 

Extra 100 points - what are you solving for?

62.5% 

Extra Points - solving the percent

200

Solve the proportion: 

x/70 = 30/100

Extra 100 points - what are you solving for?

21 

Extra Points - solving for part 

300

Solve the proportion: 

18/x = 60/100

Extra Points: what are you solving for?

30 

Extra Points - solving for the whole

400

Solve the problem: 

7/16 = x/100

Extra 100 points- what are you solving for? 

43.75% 

Extra Points - solving for percent

500

Solve the proportion: 

x/90 = 20/100

Extra 100 Points - what are you solving for?

18 

Extra Points - solving for the part

Category 5: Word Problems

100

A store is having a 20% off sale. If a shirt originally costs $50, what is the sale price? 

Extra 100 Points - solve with a proportion.

$40

200

Dylan's test has 30 questions. He answered 24 questions correctly. What percent did he get correct?

Extra 100 Points - Solve with a proportion.

80%

300

Maria earned $75 babysitting for 6 hours. What is her hourly rate?

Extra 100 Points - Solve using a proportion.

$12.50

400

The school budget for a field trip is $5,000. If 75% of the budget is allocated for transportation, how much money is allocated for transportation?

Extra 100 Points - Solving using a proportion.

$3,750

500

John runs 2 miles in 15 minutes. How many miles can he run in 1 hour? 

Extra 100 Points - solve using a proportion.

2/15 = 8/60

8 miles