Student teams investigate the migration of small-particle plastic pollution by exposing invertebrates found in water samples from a local lake or river to fluorescent bead fragments in a controlled environment of their own designs. Students begin by reviewing the composition of food webs and considering the ethics of studies on live organisms. In their model microcosms, they set up a food web so as to trace the microbead migration from one invertebrate species to another. Students use blacklights and microscopes to observe and quantify their experimental results. They develop diagrams that explain their investigations—modeling the ecological impacts of microplastics.

In this activity, students explore how trebuchets were used during the Middle Ages to launch projectiles over or through castle walls as well as how they are used today in events such as Punkin’ Chunkin’. Students work as teams of engineers and research how to design and build their own trebuchets from scratch while following a select number of constraints. They test their trebuchets, evaluate their results through several quantitative analyses, and present their results and design process to the class.

This lesson focuses on ultrasound wavelengths and how sound frequencies are used by engineers to help with detection of specific distances to or in materials. Students gain an understanding about how ultrasonic waves are reflected and refracted. Students also see how ultrasound technology is used in medical devices. The activity following this lesson allows students to test their knowledge by using the Sunfounder Ultrasonic sensor and Arduino Mega Microcontroller.

This short video and interactive assessment activity is designed to teach third graders about given the perimeter, find the side length and area - squares.

This short video and interactive assessment activity is designed to teach fifth graders about using the four operations with money - word problems.

This short video and interactive assessment activity is designed to teach fifth graders about multiplication and division with money.

This short video and interactive assessment activity is designed to teach second graders about using symbol maps with compound units.

Students develop a physical understanding for the meaning of equality by trying to find equal lengths using rods.

This resource presents the Virgin Islands Standards of Achievement for Mathematics on Google Docs. Here you can access an Adobe Acrobat PDF copy of the standards.

This short video and interactive assessment activity is designed to teach second graders about visual differences in length (english units).

This short video and interactive assessment activity is designed to teach fifth graders about visual objects: comparing length.

For this maker challenge, students become biomedical engineers who design, create, and test a medical device that measures a patient’s pulse using a microcontroller, LED, and light sensor. Students use data collected from the device they build to determine how to best visualize the results, so that a doctor can view the patient’s pulse on the computer screen. During the challenge, students learn about basic coding, the capabilities of microcontrollers, how sensors gather data, how the human circulatory system works, and how to plot real data. Finally, students are challenged to make their systems portable so that they create wearable health technology. This is a great project for a high school senior design team project.

This short video and interactive assessment activity is designed to teach second graders an overview of capacity (metric units).

Challenged with a hypothetical engineering work situation in which they need to figure out the volume and surface area of a nuclear power plant’s cooling tower (a hyperbolic shape), students learn to calculate the volume of complex solids that can be classified as solids of revolution or solids with known cross sections. These objects of complex shape defy standard procedures to compute volumes. Even calculus techniques depend on the ability to perform multiple measurements of the objects or find functional descriptions of their edges. During both guided and independent practice, students use (free GeoGebra) geometry software, a photograph of the object, a known dimension of it, a spreadsheet application and integral calculus techniques to calculate the volume of complex shape solids within a margin of error of less than 5%—an approach that can be used to compute the volumes of big or small objects. This activity is suitable for the end of the second semester of AP Calculus classes, serving as a major grade for the last six-week period, with students’ project results presentation grades used as the second semester final test.

Students apply their knowledge of scale and geometry to design wearables that would help people in their daily lives, perhaps for medical reasons or convenience. Like engineers, student teams follow the steps of the design process, to research the wearable technology field (watching online videos and conducting online research), brainstorm a need that supports some aspect of human life, imagine their own unique designs, and then sketch prototypes (using Paint®). They compare the drawn prototype size to its intended real-life, manufactured size, determining estimated length and width dimensions, determining the scale factor, and the resulting difference in areas. After considering real-world safety concerns relevant to wearables (news article) and getting preliminary user feedback (peer critique), they adjust their drawn designs for improvement. To conclude, they recap their work in short class presentations.

Students first explore different materials to see what types reduce the most amount of sound when placed in a box. Each group is assigned a different material and they fill their box with that specific material. Students measure the sound level of a tone playing from inside the box using a decibel reader from outside the box. Students share this data with the class and analyze which types of materials absorb the most sound and which reflect the most sound.

The words compose and decompose are used to describe actions that young students learn as they acquire knowledge of small numbers by putting them together and taking them apart. This understanding is a bridge between counting and knowing number combinations. It is how instant recognition of small numbers develops and leads naturally to later understanding of fact families. This task helps them develop an understanding of number combinations.

In this activity students compare objects and practice determining which objects are heavier and lighter.