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

Define 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 proportion?

Back

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

Front

If 3 apples cost $1.50, how much do 12 apples cost?

Back

$6.00 (Using proportional reasoning: 3 apples/$1.50 = 12 apples/x; x = $6.00).

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, set up the equation using the known values and solve for the unknown.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

50 miles per hour (150 miles ÷ 3 hours = 50 miles/hour).

Front

Explain the concept of scaling in proportional reasoning.

Back

Scaling involves increasing or decreasing a quantity by a certain factor while maintaining the same ratio.

Front

What is the formula for finding a percentage?

Back

Percentage = (Part/Whole) × 100.