7.4A 7.4D rates/ proportions

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Tags

CCSS.7.RP.A.2A

Front

How do you find a percentage of a number?

Back

To find a percentage of a number, convert the percentage to a decimal and multiply it by the number. For example, 20% of 60 is 0.20 * 60 = 12.

Tags

CCSS.6.RP.A.3C

Front

If 3 photos take up 24 MB, how much space does 1 photo take up?

Back

1 photo takes up 8 MB (24 MB ÷ 3 photos = 8 MB per photo).

Tags

CCSS.6.RP.A.3B

Front

If 1 km = 0.621371 miles, how many miles are in 40 km?

Back

40 km is approximately 24.85 miles (40 km * 0.621371 miles/km).

Tags

CCSS.6.RP.A.3D

Front

What is the formula for calculating total cost based on unit price?

Back

Total cost (y) = Unit price (x) * Quantity (number of units).

Tags

CCSS.6.RP.A.3B

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, write two ratios equal to each other and cross-multiply to solve for the unknown. For example, if a/b = c/x, then a*x = b*c.

Tags

CCSS.7.RP.A.2C

Front

What is the relationship between rates and unit rates?

Back

A unit rate is a rate in which the second quantity is 1. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. For example, 1/4 = 0.25 * 100 = 25%.

Front

What is the significance of equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities. They are important for solving proportions and understanding rates.

Tags

CCSS.6.RP.A.3A