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

If a scale distance of 2 cm on a map represents 250 kilometers, how do you find the actual distance for a different scale?

Back

To find the actual distance for a different scale, set up a proportion using the known scale distance and actual distance.

Front

What is the formula to calculate the total cost including sales tax?

Back

Total Cost = Price + (Price × Sales Tax Rate).

Front

How do you calculate a percentage score on a test?

Back

Percentage Score = (Number of Correct Answers / Total Questions) × 100.

Front

What is the relationship between scale and actual distance?

Back

The scale is a ratio that represents the relationship between a distance on a map and the actual distance it represents.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What does it mean if two quantities are in direct proportion?

Back

Two quantities are in direct proportion if they increase or decrease at the same rate.

Front

If 4.5 cm on a map represents 562.5 kilometers, what is the scale factor?

Back

The scale factor is 562.5 km / 4.5 cm = 125 km/cm.

Front

How do you find the missing value in a proportion?

Back

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

Front

What is the importance of understanding ratios in real-life situations?

Back

Understanding ratios helps in making comparisons, scaling recipes, and interpreting data.