# Activities to Teach Students to Evaluate Exponential Functions

Exponential functions are an essential concept in mathematics that students learn in high school. They are often used in real-world applications such as growth and decay problems in finance, population trends in biology, and radioactive decay in chemistry.

However, understanding exponential functions can be challenging for some students. Therefore, teachers must help their students to evaluate exponential functions and understand the core principles behind them. Here are some activities teachers can use to teach students how to evaluate exponential functions.

1. Real-World Examples

Teachers can present students with real-world examples of exponential functions and ask them to discuss how the values change over time. For instance, students can analyze population growth or decay in different cities across the world. They can also look at financial investments and explore how they grow over a specific amount of time.

2. Interactive Worksheets

Teachers can prepare interactive exponential functions worksheets for students. These worksheets should consist of different types of questions that ask students to evaluate exponential functions. They can use graphs and tables as well to make the process more accessible for visual learners.

3. Classroom Activities

Teachers can organize classroom activities where students can work in groups to evaluate exponential functions. For this activity, students can create graphs and tables that show how exponential functions grow and decay over time. They can then present their finding to the class and discuss what they have learned.

4. Online Resources

Online resources such as Khan Academy and Mathway can provide an excellent platform for students to practice evaluating exponential functions. Teachers can assign students specific problems from these resources to solidify their knowledge and improve their skills.

5. Research Projects

Finally, teachers can assign research projects to students that involve evaluating exponential functions. For instance, students can research the effect of radiation on health and create a graph to illustrate their findings. They can also research how population density changes in mega-cities across the world and evaluate the exponential functions behind these changes.

In conclusion, these activities are designed to help students understand and evaluate exponential functions better. By using a combination of real-world examples, interactive worksheets, classroom activities, online resources, and research projects, teachers can make it easier for students to grasp the fundamentals of exponential functions.