Students explore and derive functions. In this calculus instructional activity, students graphs a function and find the derivative of each function as they compare exponential graphs. They relate and compare each function to its derivative.

Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...

Does a linear or exponential model fit the data better? Guide your class through an exploration to answer this question. Pupils create an exponential and linear model for a data set and draw conclusions, based on predictions and the...

Develop a model for a hanging chain. Pupils find a mathematical model for a hanging chain and then they compare their models to the precise function that models the curve. Scholars come up with a strategy to determine how close...

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...

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...

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...

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,...

While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision. 

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...

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...

Won't the other properties be sad to learn that they're not the most important? The 11th installment of a 35-part module is essentially a continuation of the previous lesson, using logarithm tables to develop properties. Scholars...

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

Looking for higher-level thinking questions? This assessment provides questions that challenge young mathematicians to think and analyze rather than simply memorize. Topics include piecewise functions, linear modeling, exponential...

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.

Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents. 

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. 

Building upon previous knowledge of sequences, collaborative pairs analyze sequences to determine the type and to make predictions of future terms. The exercises build through arithmetic and geometric sequences before introducing...

In this derivative activity, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page activity contains...

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...

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...

If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...

Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...

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