Derivatives of Exponential Function Teacher Resources

What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear,...

Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions...

Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work...

Students investigate the derivative of a function.  In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions.  The lesson promotes the idea of the derivative as a...

Twelfth graders assess their knowledge of logarithmic and exponential functions.  In this calculus lesson, 12th graders demonstrate their knowledge of all concepts of logarithmic and exponential functions.  Students apply the...

Having trouble finding performance task questions? Here is an assessment that uses all high-level thinking questions. It includes questions to assess sequences, linear functions, exponential functions, and increasing/decreasing intervals.

Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...

Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the lesson is the discovery of Euler's number. 

Use the resource to teach methods for solving exponential equations. Scholars solve exponential equations using logarithms in the twenty-fifth installment of a 35-part module. Equations of the form ab^(ct) = d and f(x) = g(x) are...

If two is company and three's a crowd, then what's e? Scholars observe how changes in the base affect the graph of a logarithmic function. They then graph the natural logarithm function and learn that all logarithmic functions can be...

Using technology, pupils find an exponential function to model the population growth of the US. With more information, learners derive the population growth formula for the world. Ultimately, they determine the amount of protein needed...

There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...

Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications. 

Scholars read and interpret a graph relating bacterial growth in a culture over time. They apply knowledge of derivatives, estimation, and graphing to the skill practice questions.

Learners solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.

This unit assessment covers the modeling process with linear, quadratic, exponential, and absolute value functions. The modeling is represented as verbal descriptions, tables, graphs, and algebraic expressions. 

Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and...

Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...

Help your class discover possible patterns in a sequence of numbers and then write an equation with a instructional activity that covers sequence notation and function notation. Graphs are used to represent the number patterns.

In this differentiating special functions worksheet, students solve and complete 5 various types of problems. First, they differentiate each of the given functions. Then, students complete the table using a calculator and plot the points...

In this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...

In this complex exponential learning exercise, students identify an entire function and explore how to show a function is analytic. This two-page learning exercise contains four problems, as well as explanations and examples.

In this function instructional activity, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page...

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...