Solving Percent Problems Using Proportions

The Organic Chemistry Tutor

This educational video provides a comprehensive tutorial on solving percent problems using the percent proportion method. The instructor introduces the fundamental formula `Part / Whole = Percent / 100` and offers a helpful mnemonic device involving the keywords "is" and "of" to identify the part and the whole in word problems. The video systematically demonstrates how to set up algebraic proportions to solve for missing variables in three different scenarios: finding the percentage, finding the part, and finding the whole (or base). The content explores key mathematical themes including ratios, proportional reasoning, cross-multiplication, and solving basic linear equations. It addresses specific nuances, such as interpreting problems where the part is larger than the whole (resulting in percentages greater than 100%) and understanding the relationship between fractional parts and percentages. The instructor uses a black screen digital whiteboard to clearly write out equations and steps, making the mathematical process visible and easy to follow. For educators, this video serves as an excellent resource for scaffolding lessons on percentages and algebra. The step-by-step examples allow for a "pause-and-practice" teaching model, where students can attempt problems before seeing the solution. The clear distinction between the three types of percent problems helps students categorize and approach word problems systematically, building their confidence in translating English sentences into mathematical equations.