Proportions

Cross-Multiplication Method

A mathematical technique used to solve proportions, stating that the product of the means equals the product of the extremes.

Proportion

An equation that shows that two ratios are equivalent.

Extremes

In a proportion a/b = c/d, the extremes are a and d.

Means

In a proportion a/b = c/d, the means are b and c.

Proportionality

The relationship between two quantities where their ratio remains constant.

Scaling Recipes

Using proportions to adjust the quantity of ingredients based on desired servings.

Ratios

A comparison of two quantities, often expressed as a fraction.

Critical Thinking Skills

The capacity to analyze and evaluate an issue in order to form a judgment.

Quantitative Analysis

The process of evaluating data that can be quantified using mathematical methods.

Similar Figures

Shapes that have the same shape but may differ in size, maintaining consistent ratios between corresponding sides.

Real-World Applications

Practical uses of concepts like proportions in everyday situations, such as cooking and finance.

Decision-Making

The process of making choices based on analysis and evaluation, often aided by understanding proportions.

Mathematical Expression of Proportion

If a/b = c/d, then ad = bc.

Unknown Variable

A value in an equation or expression that is not known and is often solved for.

Efficiency

Achieving maximum productivity with minimum wasted effort or expense, often enhanced through the use of proportions.