Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities in a proportional context.

Front

How do you find the total cost including sales tax?

Back

To find the total cost including sales tax, multiply the original price by the sales tax rate (as a decimal) and add it to the original price.

Front

If 5 entrance tickets cost $56.00, how do you find the cost of one ticket?

Back

Divide the total cost by the number of tickets: $56.00 ÷ 5 = $11.20 per ticket.

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units: Unit Rate = Quantity ÷ Units.

Front

If 2 cm on a map represents 250 kilometers, how do you find the distance represented by 4.5 cm?

Back

Set up a proportion: 2 cm/250 km = 4.5 cm/x km. Cross-multiply and solve for x.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

Front

How do you calculate the percentage of correct answers on a test?

Back

To calculate the percentage of correct answers, divide the number of correct answers by the total number of questions and multiply by 100.

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 solve for an unknown in a proportion?

Back

Cross-multiply the known values and then divide to find the unknown value.

Front

What is the relationship between fractions and ratios?

Back

Fractions can be expressed as ratios, where the numerator is compared to the denominator.