Ratios, unit rates and percents with double number lines

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 simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 'x per 1 unit'.

Front

How do you find a unit rate from a ratio?

Back

To find a unit rate, divide the first quantity by the second quantity to express it as 'x per 1 unit'.

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities along two parallel lines, helping to illustrate ratios and relationships.

Front

How do you use a double number line to find equivalent ratios?

Back

You can find equivalent ratios by identifying points on the double number line that correspond to the same relationship between the two quantities.

Front

What is the percent of a quantity?

Back

The percent of a quantity is a way of expressing a number as a fraction of 100, often used to compare proportions.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100.

Front

What is the relationship between ratios and percents?

Back

Ratios can be converted to percents by expressing the ratio as a fraction and then converting that fraction to a percent.

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together.