Lesson 5

Lesson 5 Summary

 

In this lesson you investigated the following question: How can real-world problems be modelled with rational expressions and rational equations?

 

You explored three different types of problems that can be solved using rational equations, which included problems relating to motion, work, and proportions.

 

You saw how these types of problems are related to games in which members of each team compete against the clock to complete different events. You learned how to mathematically determine distance, speed, time, and proportion.

 

A key strategy in modelling these problems was to organize the important information. You learned how to use tables to keep track of the critical points of a situation. You then used the information to construct rational equations that could be solved for the desired quantity. Constructing equations was often based on known formulas.

 

You have now completed your study of rational expressions and equations. As you continue in your studies, you can be sure that you will encounter these concepts again. Remember that mathematics is a subject that continues to build on itself—what you have seen once before may be seen and applied again.