9-12
In this lesson, students observe a model of exponential decay, and how kidneys filter their blood. They will calculate the amount of a drug in the body over a period of time. Then, they will make and analyze the graphical representation of this exponential function.
9-12
Student groups collect height versus distance data for rolling objects of different sizes. Each group produces two sinusoidal graphs of the data, one in which both axes are measured in units, and the other in which both axes are rescaled and free of units. Students note that the amplitude and period of the unit-free graph are the same for all groups, and then discuss how their measurement opens a different way of describing points on a unit circle.
9-12
Predicting the right time to take that first sip of any hot beverage is difficult. Unfortunately, the temperature of hot coffee does not decrease steadily (linearly) over time. If so, it would be easy to predict when to take that first sip. Which function best represents the rate at which coffee cools: linear, quadratic, square root, absolute value, exponential or logarithmic?
6-8, 9-12
Use tiles to represent variables and constants, learn how to represent
and solve algebra problem. Solve equations, substitute in variable
expressions, and expand and factor.
Pre-K-2, 3-5, 6-8, 9-12
Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? You can create all those things and more! Place the images you want, then export it as a PDF or as a JPG image.
3-5, 6-8, 9-12
Using this interactive tool, you can practice arithmetic and algebraic skills, and investigate the important concept of equivalence.9-12
Explore the amplitude, period, and phase shift by
examining the graphs of various trigonometric functions.
9-12
This lesson allows students to explore the idea that
rainforest deforestation is occurring at an exponential rate. Students will use
provided research about Amazon deforestation and conduct their own research to
determine whether deforestation is occurring exponentially.
9-12
This
activity uses a 2009 study based on the book
The Joy of Cooking that found portion sizes in the iconic cookbook
had expanded 60% since 1936 and 33% since 1996. Students use linear functions
to create models of weight as a function of calories and time, then use the
models to make projections about what impact increased portion sizes may have on
weight.
9-12
In the third lesson, students identify a function that models the data. An interactive graphing tool can be used to determine a function that fits the data points.
