6th honors Ratios Tutorials

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 determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Front

What is the cross product method for comparing ratios?

Back

The cross product method involves multiplying the numerator of one ratio by the denominator of the other ratio and comparing the two products.

Front

What does it mean for a ratio to be in simplest form?

Back

A ratio is in simplest form when the two numbers have no common factors other than 1.

Front

How can you use a ratio table to solve problems?

Back

A ratio table organizes equivalent ratios in a table format, making it easier to visualize relationships and solve for unknowns.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, you can use cross multiplication or find a common factor.

Front

What is the significance of the ratio of caretakers to children in a daycare setting?

Back

The ratio of caretakers to children is important for ensuring adequate supervision and care for the children.

Front

If a daycare has a ratio of 2 caretakers for every 7 children, how many caretakers are needed for 189 children?

Back

To find the number of caretakers needed, set up a proportion: 2/7 = x/189, solving gives x = 54 caretakers.

Front

How do you scale a ratio up or down?

Back

To scale a ratio up, multiply both parts by the same number; to scale down, divide both parts by the same number.