Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.

Front

How do you set up a proportion?

Back

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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or cost per item.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the equation to find the total cost when given a unit price and quantity?

Back

The equation is: Total Cost = Unit Price × Quantity.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much flour is needed for 4 cups of sugar?

Back

Using the ratio, if 2 parts are sugar and 3 parts are flour, for 4 cups of sugar, you need 6 cups of flour.

Front

What is the relationship between ratios and proportions?

Back

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

Front

How do you find a missing value in a proportion?

Back

Cross-multiply the known values and solve for the unknown value.

Front

What is the cost per item if a dozen items cost $24?

Back

Cost per item = Total Cost ÷ Number of Items = $24 ÷ 12 = $2 per item.