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...

Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...

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.

Your microbiologists explore a changing algae population and build an exponential function modeling algae concentration from the description given of the relationship between concentrations in cells/ml and days of rapid growth.

Your learners analyze a table of real-life data in order to write an equation that best models the information. Exponential, quadratic, and linear rates of changes are all possibilities in this task.

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.

Block play can teach children about gravity, physics, and spatial relationships. A hands-on lesson incorporates these concepts with an activity in which learners examine the relationship between levels in a pile. Scholars begin to...

Your young population scientists analyze a table of values, write a model to represent the real life data, finish the table of data and predict future populations in a collaborative, real-life activity.

What starts as a basic question of division and remainders quickly turns abstract in this question of related ratios and radii. The class works to surround a central coin with coins of the same and different values, then develops a...

Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).

In this activity, students collect motion data for a bouncing ball using a motion detector. They analyze the data and attempt to find the exponential relationship between the bounce number and maximum height that the bounce reaches.

These questions test knowledge of domain and range of exponential functions, properties of exponents, and population growth and compound interest modeled by exponential functions. Questions are true/false and multiple choice; solutions...

Purplemath does a wonderful job of explaining logarithms. The lesson begins with a discussion of the relationship between logarithms and exponentials and very simple examples. The lesson gives important information regarding logarithms...

In this activity, students' will use a pressure sensor to investigate the relationship between pressure and volume for an enclosed air sample, and fit an inverse function model to the pressure versus volume data.

This is an activity at the conclusion of the exponential relationship unit where students have experience with equations in the form y=a*b^x. Students use the random integer function on theTI-83 Plus to generate a rate of return for the...

In this activity, students study the relationship between age and near point accommodation (NPA). They predict a person's age using NPA distance values. They use exponential regression, create box-and-whisker plots and histograms.

Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...

Students use a light sensor to analyze the effect of storm water run-off on the turbidity of local water. They interpret and analyze scatter plots and understand exponential relationship.

In this activity, students collect the height versus time data of a bouncing ball using the CBR 2. They find the relationship between the bounce number and the bounce height. They learn to graph scatter plots, calculate the maximum value...