PAES M1 | Proporcionalidad | Clase 9

Are you confused by ratios and proportions in the PAES M1 exam? Mastering direct and inverse proportionality is essential for a good score. In this class, we'll review everything from the theoretical foundation to practical tips for quickly identifying which type of proportion to apply to real-world DEMRE problems, avoiding the typical errors of the rule of three. What you'll learn in this class: Concept of Ratio and Proportion: How to compare magnitudes and understand the "hidden amplification" (the constant K). Direct Proportion: Identifying variables that increase or decrease together and their graphical representation. Inverse Proportion: The "slippery" behavior in graphs and how to balance variables through multiplication. Solving DEMRE Exercises: Practical application in problems involving mixtures, prize distribution, and container filling. 🔥 Train like a top scorer! Don't leave your university admission to chance. Register for free to access unlimited practice tests: 👉 https://www.puntajenacional.cl/ 📚 Take your study materials with you! Prefer to study on paper? Get our official PAES Manuals. Summarized theory, practice test exercises, and the exact path to 1000 points. 🛒 Buy them here: https://tienda.puntajenacional.cl Video Chapters: 00:00 Welcome and tips to overcome laziness while studying. 04:12 What is a ratio in mathematics? Comparing magnitudes. 05:30 Practical example: Chickens, sheep, and how to simplify ratios. 08:00 The "8 out of 10" trick: Ratios in everyday life. 10:35 Proportions and equality between two ratios. 12:15 The constant K method: The key to solving any problem. 15:15 Application Exercise: Calculating proportional rent per square meter. 20:25 PAES Exercise: Mixing dyes (Red and Yellow). 23:25 Proportional distribution of prizes in a race. 29:28 Direct Proportion: Definition and constant division. 32:45 Interpreting direct proportion graphs. 35:35 Example: Relationship between perfume and essence. 43:05 Inverse Proportion: Inverse behavior and constant multiplication. 45:40 Inverse proportion graphs (The "slide"). 47:28 Example: Pool and hose filling time. 51:08 How to identify if a problem is direct or inverse. 53:15 DEMRE Exercise: Mineral water packaging and container capacity. 57:55 Exercise on medication dosage by body mass. 01:02:50 End of class and next steps in Algebra and Geometry. #PAES2026 #PAESMathematics #M1 #NationalScore #Proportionality #RatioAndProportion #StudyMathematics #AdmissionTest #Chile