Equivalent Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction, with a colon (e.g., 3:2), or in words (e.g., '3 to 2').

Front

What does 'part-to-part' ratio mean?

Back

A part-to-part ratio compares two parts of a whole, such as the number of boys to girls in a class.

Front

What does 'part-to-whole' ratio mean?

Back

A part-to-whole ratio compares one part to the total amount, such as the number of students who play an instrument to the total number of students.

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between quantities, even if the numbers are different.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

Front

Give an example of equivalent ratios using muffins and prices.

Back

If 6 muffins cost $3 and 18 muffins cost $9, then the ratios of muffins to dollars spent are equivalent (6:3 = 18:9).

Front

What is the significance of the term 'equivalent' in mathematics?

Back

In mathematics, 'equivalent' means that two expressions or quantities are equal in value or represent the same relationship.

Front

How can you use a ratio to solve real-world problems?

Back

Ratios can be used to compare quantities, determine proportions, and solve problems involving rates, such as speed or cost.