Graphing by hand does have its advantages. The 19th installment of a 35-part module prompts pupils to use skills from previous lessons to graph exponential and logarithmic functions. They reflect each function type over a diagonal line...

Introducing inverse functions! The 20th installment of a 35-part lesson encourages scholars to learn the definition of inverse functions and how to find them. The lesson considers all types of functions, not just exponential and...

Give your class a concrete example of exponential growth and decay using this hands-on activity. These Algebra II lessons allow for the exploration of exponential growth and decay models, as well as the discovery of the patterns of...

Modeling population growth gives learners an opportunity to experiment with real data. Comparing the growth rates in this real-life task strengthens learners' understanding that exponential functions change by equal factors over equal...

Who wouldn't want to wear four pairs of sunglasses? Each pair of sunglasses reduces the percent of incoming light by one-half. An interactive tutorial helps young mathematicians build a graph that models this scenario. They...

How can an object as heavy as an airplane fly? Turns out the answer is quadratic! Your classes explore the Bernoulli Effect through an interactive graph representation. As a plane increases in speed, the lift force also increases. Young...

Explore a geometric sequence model through a simulation. Learners change the starting drop height of a ball and watch how the heights of following bounces change. They consider the ratio of the consecutive bounces as they analyze...

Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...

Students investigate the differences between linear and exponential models.  In this linear and exponential models lesson plan, students make a table of given data.  Students determine if the data is linear or exponential by...

A boss who can't do math? Oh, no! Young entrepreneurs use linear and exponential models to determine which discount will yield the most profit on ticket sales.

Solving exponential and logarithmic equations is taught in this interactive instructional activity. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.

Mathematics can model just about anything—so why not simulate the height of water in a toilet bowl? The lesson asks pupils to create a graphical model to describe the relationship of the height of the water as it empties and fills again....

You can't build a fire with these logs! Filled with hands-on investigations, a complete logarithmic unit offers both instruction and practice. Learners first build an understanding of the new function, then explore properties before...

Nothing better than the original! Help your class understand the relationship of an inverse function to its original function. Learners study the connection between the original function and its inverse through algebraic properties,...

Inquiry-based learning and investigations form the basis of a deep understanding of quadratic functions in a very thorough unit plan.  Learners develop recursive and closed methods for representing real-life situations,...

How long will it take to save up for a car? Classmates use linear and exponential models to see how money received during a Quinceanera will grow over time.

Undo a function to create a new one. The inverse of a function does just that. An inquiry-based lesson examines the result of reversing the variables of a function, beginning with linear patterns and advancing to quadratic and...

Young scholars explore an exponential relationship and how it relates to human population growth and the current global population crisis.

Don't let your knowledge of regression analysis regress. Pupils take part in three activities to learn about regression curves. They research and collect data to predict how long it will take a basketball to hit the ground, find a...

Students investigate exponential and logarithmic functions.  In this Pre-calculus/Calculus activity, students investigate the relationship between y = ln(x) and y = e^x.  Students graph the functions and show they are inverses...

Develop an understanding of the properties of exponents through this series of activities. This third lesson plan of 15 explores the patterns associated with the power property. Scholars expand the powers before applying the property.

First there was pi and now there's e. A discovery-based lesson plan helps learners find a pattern in compound interest as the compounding period changes. Their investigation results in the discovery of the number e. The lesson plan is...

Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...

An interesting instructional activity on hypothesizing about the diameter of a drop of blood that is splattered. To test their theories, learners work in groups to make blood droplets splatter from different heights. They use graphed...