Math 6/7 Unit 4 Learning Check #1: Ratios & Unit Rates

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 to b' or a:b.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 3 hours, the unit rate is 60 miles ÷ 3 hours = 20 miles per hour.

Front

What does it mean if a ratio is 4 to 5?

Back

It means for every 4 parts of one quantity, there are 5 parts of another quantity. This can be used to compare sizes or amounts.

Front

If 5 hot dogs are needed for every 3 people, how many hot dogs are needed for 9 people?

Back

15 hot dogs.

Front

What is a unit rate in the context of speed?

Back

A unit rate in speed is the distance traveled per unit of time, such as miles per hour.

Front

How can you use a ratio table?

Back

A ratio table helps to organize and compare ratios by listing equivalent ratios in a table format, making it easier to find missing values.

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

If the ratio of white socks to black socks is 4 to 5, how many white socks are there if there are 25 black socks?

Back

20 white socks.

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means multiplying or dividing both parts of the ratio by the same number to find equivalent ratios.

Front

How do you determine if a combination of numbers fits a given ratio?

Back

To determine if a combination fits a ratio, check if the two quantities maintain the same proportional relationship as defined by the ratio.