Ratio Number Lines, Tables, and Tape Diagrams OH MY!!

Front

What is a ratio?

Back

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

Front

How do you find the cost of one item when given the total cost for multiple items?

Back

Divide the total cost by the number of items. For example, if 3 avocados cost $6, then 1 avocado costs $6 ÷ 3 = $2.

Front

If 3 sweatshirts cost $45, how much does one sweatshirt cost?

Back

$45 ÷ 3 = $15.

Front

How do you calculate the cost of more items based on a known cost?

Back

Multiply the cost of one item by the number of items. For example, if one sweatshirt costs $15, then 5 sweatshirts cost $15 × 5 = $75.

Front

What is a ratio table?

Back

A ratio table is a table that shows the relationship between two quantities, often used to find equivalent ratios.

Front

How do you complete a ratio table?

Back

Identify the relationship between the quantities and use multiplication or division to fill in missing values.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a mathematical problem, often used to illustrate ratios and proportions.

Front

How can tape diagrams help in solving ratio problems?

Back

Tape diagrams help visualize the relationship between quantities, making it easier to understand and solve problems.

Front

If 30 kids like grape juice, and the ratio of kids who like pineapple juice is 4:3, how many kids like pineapple juice?

Back

If 30 kids like grape juice (4 parts), then 3 parts (pineapple juice) would be 30 × (3/4) = 22.5, which is not possible. Therefore, we need to find a common multiple. If we assume 40 kids like pineapple juice, the ratio would be 40:30.

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.