Ratio Tables and Unit Rates Flashcard

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form a ratio, helping to visualize the relationship between the quantities.

Front

How do you find a missing number in a ratio table?

Back

To find a missing number in a ratio table, use the relationship between the known numbers to set up a proportion and solve for the unknown.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you have 15 dollars for 6 gallons, the unit rate is 15 ÷ 6 = 2.50 dollars per gallon.

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the quantities in the table are equivalent, meaning they maintain the same relationship throughout.

Front

What is the formula for finding the price per unit?

Back

The formula for finding the price per unit is: Price per unit = Total price ÷ Number of units.

Front

If a bag contains 75 pieces of candy in 15 oz, how many pieces are there per ounce?

Back

There are 5 pieces of candy per ounce (75 pieces ÷ 15 oz = 5 pieces/oz).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a/b and c/d, check if a*d = b*c.