Ratio Tables and 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

How do you create a ratio table?

Back

A ratio table is created by listing pairs of numbers that maintain a constant ratio. For example, if the ratio is 2:3, the table might include (2,3), (4,6), (6,9), etc.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both terms by their greatest common factor.

Front

How can you represent ratios graphically?

Back

Ratios can be represented graphically using a graph where one quantity is plotted on the x-axis and the other on the y-axis, showing the relationship between them.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, such as a/b = c/d.

Front

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

Back

To find a missing value in a ratio table, use the known ratios to set up a proportion and solve for the unknown.

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 do you compare two ratios?

Back

To compare two ratios, convert them to fractions and find a common denominator or cross-multiply to see which is larger.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or price per item.

Front

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

Back

Ratios can be used to solve real-world problems by setting up equations based on the relationships between quantities, such as in recipes or scaling models.