Relative Rates of Growth

Grow an equation for the exponential graph. Given a graph of an exponential function, class members write the equation of the function provided. The graph labels two points on the graph: the y-intercept and the point where x is one.

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...

High schoolers investigate the growth rate of a man named Bob Wadlow.  In this growth rate of a man lesson, students determine if the growth rate of this particular man was normal or abnormal.  High schoolers bring in data of their...

Your algebra learners explore the values of two types of functions in order to compare growth rates in this short cooperative task. Two types of solutions are given, using a table of values and an abstract argument.

Make your lesson on radioactive decay pop with this lab exercise. Using popcorn kernels spread over a tabletop, participants pick up all of those that point toward the back of the room, that is, those that represent decayed atoms. As the...

It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.

Rates of change can be a slippery slope. The resource makes the connection between the rate of change and the slope of a line. It continues on to provide examples of how to interpret the slope and the y-intercepts of linear equations...

Introduce the basics of evaluating a function using function notation with a video that makes connections between evaluating a function and substituting into an expression. The short presentation works through three examples of...

Math and science come alive in this career-related instructional activity on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how...

Imagine injecting tiny robots into your blood to help fight disease. According to Daniel Kraft, that's just one of many exciting new medical technologies coming our way in the not-so-distant future. The key to these amazing innovations...