Ratios, Rates, Unit Rates, Tape Diagrams, Graphs

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

What is a rate?

Back

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

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour or $5 per item.

Front

How do you find the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 120 customers visit in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What is a tape diagram?

Back

A tape diagram is a visual model that uses rectangles to represent quantities and their relationships, helping to solve problems involving ratios and rates.

Front

How do you represent ordered pairs?

Back

Ordered pairs are represented as (x, y), where 'x' is the first quantity (independent variable) and 'y' is the second quantity (dependent variable).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How can you determine if a ratio is equivalent to another?

Back

To determine if a ratio is equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

If 3 sweatshirts cost $45, what is the cost of 5 sweatshirts?

Back

The cost of 5 sweatshirts is $75, calculated by finding the unit price ($15 per sweatshirt) and multiplying by 5.

Front

What is the purpose of a graph in representing ratios and rates?

Back

A graph visually represents the relationship between two quantities, making it easier to see trends, patterns, and comparisons.