Math Example--Ratios and Rates--Example 25

Topic

Ratios and Rates

Description

This example focuses on unit conversion in a geographic context, specifically converting the distance between San Antonio and Austin from miles to feet. The image shows a map of the route between these two Texas cities, providing a real-world scenario for the mathematical problem.

Understanding unit conversions between miles and feet is important in various fields, including geography, transportation, and urban planning. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of multiplication in distance-related measurement scenarios.

Providing multiple worked-out examples is essential for students to fully grasp the concept of unit conversions. Each example in this series presents a unique scenario, allowing students to practice converting between different units. This repetition helps reinforce the concept and builds confidence in applying these skills to various real-world situations, including map reading and distance calculations.

Teacher's Script: Let's examine this problem about the distance between San Antonio and Austin. We know the distance in miles, but we want to express it in feet. How can we convert from miles to feet? What conversion factor do we need to use? Remember, we're essentially multiplying by 1, but in a form that allows us to change the unit. Can you walk me through the conversion process step by step? Why do we multiply by 5280 in this case?

For a complete collection of math examples related to Ratios and Rates click on this link: Math Examples: Ratios and Rates Collection.