This activity is structured as a letter from a company seeking assistance with a mathematical problem. The students will act as professional mathematical consultants and write a report analyzing the client's problem. The client company is a fictional organization which advocates for the use of trap-neuter-return (TNR) as a control method for feral cat colonies. The students will utilize modified exponential growth models to analyze the efficacy of TNR compared to a euthanasia program.

In this activity, students will model a noisy set of bacterial cell count data using both exponential and logistic growth models. For each model the students will plot the data (or a linear transformation of the data) and apply the method of least squares to fit the model's parameters. Activities include both theoretical and conceptual work, exploring the properties of the differential equation models, as well as hands-on computational work, using spreadsheets to quickly process large amounts of data. This activity is meant as a capstone to the differential calculus portion of a typical undergraduate Calculus I course. It explores a biological application of a variety of differential calculus concepts, including: differential equations, numerical differentiation, optimization, and limits. Additional topics explored include semi-log plots and linear regression.

Explore fractions while you help yourself to 1/3 of a chocolate cake and wash it down with 1/2 a glass of orange juice! Create your own fractions using fun interactive objects. Match shapes and numbers to earn stars in the fractions games. Challenge yourself on any level you like. Try to collect lots of stars!

The objective of this course is to introduce large-scale atomistic modeling techniques and highlight its importance for solving problems in modern engineering sciences. We demonstrate how atomistic modeling can be used to understand how materials fail under extreme loading, involving unfolding of proteins and propagation of cracks.
This course was featured in an MIT Tech Talk article.

Geography 468 provides the geospatial information system professional an overview of systems analysis and design with emphasis on the concepts behind the process, including: business use case modeling, business object modeling, requirements definition, analysis and preliminary design, and, finally, detailed design. The concepts of the geospatial software and database development process are introduced and the current modeling techniques are addressed within the geospatial systems development paradigm. In a series of related activities, students learn about the methods, tools and the concepts of the systems development process to document a portion of a geospatial system with Unified Modeling Language (UML), the standard graphical notation for modeling application needs.

In this open-ended, hands-on activity that provides practice in engineering data analysis, students are given gait signature metric (GSM) data for known people types (adults and children). Working in teams, they analyze the data and develop models that they believe represent the data. They test their models against similar, but unknown (to the students) data to see how accurate their models are in predicting adult vs. child human subjects given known GSM data. They manipulate and graph data in Excel® to conduct their analyses.

In this activity, students study gas laws at a molecular level. They vary the volume of a container at constant temperature to see how pressure changes (Boyle's Law), change the temperature of a container at constant pressure to see how the volume changes with temperature (Charles’s Law), and experiment with heating a gas in a closed container to discover how pressure changes with temperature (Gay Lussac's Law). They also discover the relationship between the number of gas molecules and gas volume (Avogadro's Law). Finally, students use their knowledge of gas laws to model a heated soda can collapsing as it is plunged into ice water.

This course will focus on understanding aspects of modern technology displaying exponential growth curves and the impact on global quality of life through a weekly updated class project integrating knowledge and providing practical tools for political and business decision-making concerning new aspects of bioengineering, personalized medicine, genetically modified organisms, and stem cells. Interplays of economic, ethical, ecological, and biophysical modeling will be explored through multi-disciplinary teams of students, and individual brief reports.

This site teaches High Schoolers how to Interpret Categorical and Quantitative Data through a series of 45 questions and interactive activities aligned to 2 Common Core mathematics skills.

Students construct a model roadway with congestion and apply their knowledge of level of service (LOS) to assign a grade to the road conditions. The roadway is simply a track outlined with cones or ropes with a few students walking around it to mimic congestion. The remaining students employ both techniques of density and flow to classify the LOS of the track.

Explore how the Earth's atmosphere affects the energy balance between incoming and outgoing radiation. Using an interactive model, adjust realistic parameters such as how many clouds are present or how much carbon dioxide is in the air, and watch how these factors affect the global temperature.

This is a two day presentation that kicked off the beginning of the Growing Elementary Science Project in October of 2019. This was a teacher professional learning session with the goal of increasing teacher content and pedagogical content knowledge through engagement in a learning cycle to answer the question "Where does a seed get the material it needs to become a plant and produce more seeds?" Teachers also experienced a structured planning session to support them in developing a garden centric science unit to do with their students. The resource includes the template and a completed model to explore. 

In this five part series, see all the pieces that come together for guided reading in Jenna Ogiers classroom. Students learn to work independently and rotate through stations, while Ms. Ogier meets with small groups of students and delivers a lesson at their level.

In this five part series, see all the pieces that come together for guided reading in Jenna Ogiers classroom. Students learn to work independently and rotate through stations, while Ms. Ogier meets with small groups of students and delivers a lesson at their level.

In this five part series, see all the pieces that come together for guided reading in Jenna Ogiers classroom. Students learn to work independently and rotate through stations, while Ms. Ogier meets with small groups of students and delivers a lesson at their level.

In this five part series, see all the pieces that come together for guided reading in Jenna Ogiers classroom. Students learn to work independently and rotate through stations, while Ms. Ogier meets with small groups of students and delivers a lesson at their level.

In this five part series, see all the pieces that come together for guided reading in Jenna Ogiers classroom. Students learn to work independently and rotate through stations, while Ms. Ogier meets with small groups of students and delivers a lesson at their level.

Students operate mock 3D bioprinters in order to print tissue constructs of bone, muscle and skin for a fictitious trauma patient, Bill. The model bioprinters are made from ordinary materials— cardboard, dowels, wood, spools, duct tape, zip ties and glue (constructed by the teacher or the students)—and use squeeze bags of icing to lay down tissue layers. Student groups apply what they learned about biological tissue composition and tissue engineering in the associated lesson to design and fabricate model replacement tissues. They tangibly learn about the technical aspects and challenges of 3D bioprinting technology, as well as great detail about the complex cellular composition of tissues. At activity end, teams present their prototype designs to the class.

Students use a hurricane tracking map to measure the distance from a specific latitude and longitude location of the eye of a hurricane to a city. Then they use the map's scale factor to convert the distance to miles. They also apply the distance formula by creating an x-y coordinate plane on the map. Students are challenged to analyze what data might be used by computer science engineers to write code that generates hurricane tracking models. Then students analyze a MATLAB® computer code that uses the distance formula repetitively to generate a table of data that tracks a hurricane at specific time intervals. Students come to realize that using a computer program to generate the calculations (instead of by hand) is very advantageous for a dynamic situation like tracking storm movements. Their inspection of some MATLAB code helps them understand how it communicates what to do using mathematical formulas, logical instructions and repeated tasks. They also conclude that the example program is too simplistic to really be a useful tool; useful computer model tools must necessarily be much more complex.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"For more than 5,000 years, metals and alloys have been formed in roughly the same way—propelling civilization from the Bronze Age to the Industrial Revolution and to the Aerospace Age. Now there’s a new technique on the horizon that could help us take another big leap forward. It’s called high-entropy alloying, and the latest Focus issue of the Journal of Materials Research showcases scientists’ and engineers’ latest efforts in understanding high-entropy alloys and their potential applications. Traditional physical metallurgy uses an element with attractive properties as a base, and adds small amounts of other elements to improve those and other properties. Over thousands of years, various elements have been used as the base: first copper, then iron, then one by one across the periodic table, until researchers developed the first titanium alloys in the 1950s. It’s a method that’s proven incredibly effective. But there are signs that the approach may be reaching its natural limit..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.