Ratios and Tape Diagrams

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you express a ratio?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 3/4), with a colon (e.g., 3:4), or in words (e.g., '3 to 4').

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.

Front

How do you find a missing quantity in a ratio?

Back

To find a missing quantity in a ratio, set up a proportion based on the known quantities and solve for the unknown.

Front

If the ratio of girls to boys is 3:8 and there are 48 boys, how many girls are there?

Back

There are 18 girls.

Front

What is the formula to find the total number of parts in a ratio?

Back

The total number of parts in a ratio is the sum of the individual parts. For example, in a ratio of 3:5, the total parts are 3 + 5 = 8.

Front

How can you use a tape diagram to solve ratio problems?

Back

You can use a tape diagram to visually represent the quantities in a ratio, making it easier to see the relationships and solve for unknowns.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the quantities have been reduced to their smallest whole number form, making it easier to understand the relationship.

Front

If there are 30 vests and the ratio of sweaters to vests is 6:5, how many sweaters are there?

Back

There are 36 sweaters.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.