The purpose of this task is for students to decompose a figure into rectangles and then find the total area by adding the area of all of its smaller, non-overlapping rectangles.
Students develop a physical understanding for the meaning of equality by trying to find equal lengths using rods.
Meet the Visual Communicators—a team of scientists from the Schloss Visual Reasoning Lab who research visual messaging.
Resources available for learning about this lab include:
• Interactive cards designed to introduce students to scientists in a more personal way
• A video with a personal story that explains why the lab's research matters in real life
• Questions to consider that will spark connection, reflection, and conversation
• An interactive video experience where you can ask questions of scientists in the lab and learn about their research
• An inquiry-based activity that focuses on doing science, using some of the same science practices that the lab uses
• An educator guide with information about standards alignment, curriculum connections, and tips for using the media resources
These resources are part of Meet the Lab, a collection of educational resources for middle school classrooms.
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.
Wake is a science game that challenges students with engaging and authentic missions in a variety of ocean-based ecosystems, designed to target the NGSS science practices of experimentation, modeling, and argumentation, in the context of middle school life sciences.
In the game, students take the role of a scientist studying ocean ecosystems, traveling to different ocean research sites to answer questions and solve problems. Students play the game at their own pace, working individually, and taking on gradually more complex science challenges in an open-ended environment.
Check out the Teacher Support Site for curriculum ideas and resources: https://sites.google.com/wisc.edu/waketeacherguide/home
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.
Weather and Climate Nature Journaling - This unit overview describes five field experience opportunities to engage students in studies of weather, forecasting and weather hazards. Each experience explains ways to incorporate science journaling, math, tech and literacy.
I use this activity to reinforce the vocabulary used when practicing with polygons. Students are asked to describe a polygon by identifying what it is, but also what it is NOT.
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.
The winter severity index (WSI) is a measurement to help gauge the effects of the winter weather on
deer survival. The index was developed in the early 1970’s and is calculated by adding the number of
days with 18 inches or more of snow on the ground to the number of days when the minimum
temperatures were 0◦
F or below. In general, the severity of the winter is based on the total number of
points accumulated over the collection period. A winter with an index of less than 50 is considered mild,
50 to 79 is moderate, 80 to 99 is severe, and over 100 is very severe.