Day 2: Ratios, Rates, & Proportions Station

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (3:2), as a fraction (3/2), or with the word 'to' (3 to 2).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

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.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross-multiplication. If a/b = c/d, then a*d = b*c.

Front

What is the unit rate?

Back

The unit rate is a rate in which the second quantity is one. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, if you have 50 apples for $10, the unit rate is 50/10 = 5 apples per dollar.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities. For example, 1:2 and 2:4 are equivalent ratios.

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, if a*d = b*c, they are equivalent.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole. For example, in a class of 10 boys and 5 girls, the part-to-part ratio of boys to girls is 10:5.