Math Example--Ratios, Proportions, and Percents--Solving Proportions: Example 2

Topic

Ratios, Proportions, and Percents

Description

This example illustrates solving a proportion where b is expressed as x + 1, and c and d are given constants (c = 3, d = 2). The goal is to solve for a using the proportion a / b = c / d. By substituting the known values, we set up the equation a / (x + 1) = 3 / 2 and solve for a, resulting in the expression a = (3(x + 1)) / 2.

Ratios and proportions are essential concepts in mathematics, forming the basis for understanding relationships between quantities. This collection of examples helps teach the topic by presenting various scenarios, from simple numeric proportions to more complex algebraic ones, allowing students to see the versatility of the concept.

Providing multiple worked-out examples is crucial for students to fully comprehend proportions. Each example builds on the previous ones, introducing new elements and reinforcing the core principles, which helps students develop problem-solving skills and recognize patterns in different contexts.

Teacher's Script: "Now, let's look at a slightly more complex proportion. Notice how we have a variable expression in the denominator. We'll solve this step-by-step, showing you how to handle algebraic terms in proportions. This skill will be valuable as we progress to more advanced problems."

For a complete collection of math examples related to Solving Proportions click on this link: Math Examples: Solving Proportions Collection.