Proportion

A proportion is an equation that states that two ratios are equal. In a proportion, the cross products of the ratios are equal. A proportion can be written in the form a/b = c/d, where a and d are the extremes, and b and c are the means.

Proportional Relationships

Proportional relationships are relationships between two equal ratios. If two quantities are in a proportional relationship, their ratio always remains the same. For example, if you are traveling at a constant speed, the distance you travel is directly proportional to the time you travel. As time increases, the distance also increases in proportion.

Proportional Reasoning

Proportional reasoning involves using proportions to solve problems. This can be applied to various real-life situations, such as scaling drawings, solving problems involving similar figures, and calculating unit rates.

Study Guide for Proportion

1. Understand the concept of a ratio and how it relates to a proportion.
2. Learn how to identify proportional relationships in tables, graphs, and word problems.
3. Practice solving proportions using cross multiplication.
4. Apply proportional reasoning to solve real-life problems, such as finding unit rates, scaling figures, and solving for unknown quantities in similar figures.
5. Review different types of proportional relationships, including direct variation and indirect variation.

Remember to practice solving a variety of proportion problems to build your understanding and confidence in the topic.