In this activity, students are introduced to graphing and modeling data in a step-wise fashion. Real data of covid-19 deaths over time are used to incrementally ask students to fit the data to several models and discuss which model fits best.

Students act as R&D entrepreneurs, learning ways to research variables affecting the market of their proposed (hypothetical) products. They learn how to obtain numeric data using a variety of Internet tools and resources, sort and analyze the data using Excel and other software, and discover patterns and relationships that influence and guide decisions related to launching their products. First, student pairs research and collect pertinent consumer data, importing the data into spreadsheets. Then they clean, organize, chart and analyze the data to inform their product production and marketing plans. They calculate related statistics and gain proficiency in obtaining and finding relationships between variables, which is important in the work of engineers as well as for general technical literacy and decision-making. They summarize their work by suggesting product launch strategies and reporting their findings and conclusions in class presentations. A finding data tips handout, project/presentation grading rubric and alternative self-guided activity worksheet are provided. This activity is ideal for a high school statistics class.

Biology is designed for multi-semester biology courses for science majors. It is grounded on an evolutionary basis and includes exciting features that highlight careers in the biological sciences and everyday applications of the concepts at hand. To meet the needs of today’s instructors and students, some content has been strategically condensed while maintaining the overall scope and coverage of traditional texts for this course. Instructors can customize the book, adapting it to the approach that works best in their classroom. Biology also includes an innovative art program that incorporates critical thinking and clicker questions to help students understand—and apply—key concepts.

By the end of this section, you will be able to:Explain the characteristics of and differences between exponential and logistic growth patternsGive examples of exponential and logistic growth in natural populationsDescribe how natural selection and environmental adaptation led to the evolution of particular life history patterns

Students learn about biomedical engineering while designing, building and testing prototype surgical tools to treat cancer. Students also learn that if cancer cells are not removed quickly enough during testing, a cancerous tumor may grow exponentially and become more challenging to eliminate. Students practice iterative design as they improve their surgical tools during the activity.

Ecology: Population Growth is a Canadian adaptation of Connecting Concepts: Interactive Lessons in Biology by Robert Jeanne and Jan Cheetham (University of Wisconsin). It includes interactive lessons on exponential growth focusing on the zebra mussel population, logistic growth using fish as an example, and elephant population growth. / Croissance des populations est une adaptation canadienne de Connecting Concepts: Interactive Lessons in Biology de Robert Jeanne et Jan Cheetham (University of Wisconsin). Ces leçons interactives portent sur la croissance exponentielle à l’aide d’une population de moules zébrées, la croissance logistique selon l’exemple des poissons et la croissance d’une population d’éléphants.

Learn about population growth rates and how they can be modeled by exponential and logistic equations.

In this activity, students will explore the concept of binary fission, generation time, and bacterial growth curves, with an emphasis on the log phase. Students will use semi-log graphs and linear graphs to plot bacterial cell growth.

The purpose of this task is to introduce students to exponential growth. While the context presents a classic example of exponential growth, it approaches it from a non-standard point of view. Instead of giving a starting value and asking for subsequent values, it gives an end value and asks about what happened in the past. The simple first question can generate a surprisingly lively discussion as students often think that the algae will grow linearly.

Students will explore exponential growth, sustainability, population trends, and social responsibility as observed in various texts relating to U.S. Westward Expansion.

In this lesson, through various examples and activities, exponential growth and polynomial growth are compared to develop an insight about how quickly the number can grow or decay in exponentials. A basic knowledge of scientific notation, plotting graphs and finding intersection of two functions is assumed.

In this activity, students will analyze raw data obtained from an experiment that explores the effect of overexpressing the Ssk protein in order to strengthen the intestinal barrier and prevent bacteria from leaking out of the gut and into the hemolymph, which is the fruit fly equivalent to blood in the circulatory system. Using Excel, students will fit an exponential function to the few known data points and will then interpolate the missing data points and extrapolate a few future data points. They will also learn how they can fit a linear model by transforming the data (applying the logarithmic function) and use that model to estimate the missing data points. This activity involves both statistical analysis and mathematical modeling as well as displaying the usefulness of mathematical models for biological data analysis.

The purpose of this task is to give students experience modeling a real-world example of exponential growth, in a context that provides a vivid illustration of the power of exponential growth, for example the cost of inaction for a year.

This activity is a gentle introduction to modeling via differential equations. The students will model the rate at which the word jumbo has propagated through English language texts over time.