Students apply high school-level differential calculus and physics to the design of …
Students apply high school-level differential calculus and physics to the design of two-dimensional roller coasters in which the friction force is considered, as explained in the associated lesson. In a challenge the mirrors real-world engineering, the designed roller coaster paths must be made from at least five differentiable functions that are put together such that the resulting piecewise curving path is differentiable at all points. Once designed mathematically, teams build and test small-sized prototype models of the exact designs using foam pipe wrap insulation as the roller coaster track channel with marbles as the ride carts.
The purpose of the task is for students to solve a multi-step …
The purpose of the task is for students to solve a multi-step multiplication problem in a context that involves area. In addition, the numbers were chosen to determine if students have a common misconception related to multiplication.
In this task students work with partners to measure themselves by laying …
In this task students work with partners to measure themselves by laying multiple copies of a shorter object that represents the length unit end to end. It gives students the opportunity to discuss the need to be careful when measuring.
Students learn the metric units engineers use to measure mass, distance (or …
Students learn the metric units engineers use to measure mass, distance (or length) and volume. They make estimations using these units and compare their guesses with actual values. To introduce the concepts, the teacher needs access to a meter stick, a one-liter bottle, a glass container that measures milliliters and a gram scale.
Students learn about the statistical analysis of measurements and error propagation, reviewing …
Students learn about the statistical analysis of measurements and error propagation, reviewing concepts of precision, accuracy and error types. This is done through calculations related to the concept of density. Students work in teams to each measure the dimensions and mass of five identical cubes, compile the measurements into small data sets, calculate statistics including the mean and standard deviation of these measurements, and use the mean values of the measurements to calculate density of the cubes. Then they use this calculated density to determine the mass of a new object made of the same material. This is done by measuring the appropriate dimensions of the new object, calculating its volume, and then calculating its mass using the density value. Next, the mass of the new object is measured by each student group and the standard deviation of the measurements is calculated. Finally, students determine the accuracy of the calculated mass by comparing it to the measured mass, determining whether the difference in the measurements is more or less than the standard deviation.
After watching a short online video that recaps the enormous scale of …
After watching a short online video that recaps the enormous scale of accumulating plastic waste in our oceans, student teams are challenged to devise a method to remove the most plastic microbeads from a provided commercial personal care product—such as a facial cleanser or body wash. They brainstorm filtering methods ideas and design their own specific procedures that use teacher-provided supplies (coffee filters, funnels, plastic syringes, vinyl tubing, water, plastic bags) to extract the microplastics as efficiently as possible. The research and development student teams compare the final masses of their extracted microbeads to see which filter solutions worked best. Students suggest possible future improvements to their filter designs. A student worksheet is provided.
This short video and interactive assessment activity is designed to teach fifth …
This short video and interactive assessment activity is designed to teach fifth graders about mixed adding and subtracting of capacities (english units).
Students learn the physical properties of sound, how it travels and how …
Students learn the physical properties of sound, how it travels and how noise impacts human health—including the quality of student learning. They learn different techniques that engineers use in industry to monitor noise level exposure and then put their knowledge to work by using a smart phone noise meter app to measure the noise level at an area of interest, such as busy roadways near the school. They devise an experimental procedure to measure sound levels in their classroom, at the source of loud noise (such as a busy road or construction site), and in between. Teams collect data using smart phones/tablets, microphones and noise apps. They calculate wave properties, including frequency, wavelength and amplitude. A PowerPoint® presentation, three worksheets and a quiz are provided.
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