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  • Measurement and Data
Mathematically Designing a Frictional Roller Coaster
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Educational Use
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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.

Subject:
Algebra
Applied Science
Engineering
Mathematics
Measurement and Data
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Miguel R. Ramirez
Date Added:
08/31/2017
Md Karl's Garden
Unrestricted Use
CC BY
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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.

Subject:
Mathematics
Measurement and Data
Numbers and Operations
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Institute for Mathematics & Education funded by the Bill & Melinda Gates Foundation
Date Added:
07/24/2012
Measure Me!
Unrestricted Use
CC BY
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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.

Subject:
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/15/2013
Measure Twice, Cut Once
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Educational Use
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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.

Subject:
Applied Science
Engineering
Mathematics
Measurement and Data
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Janet Yowell
Lesley Herrmann
Malinda Schaefer Zarske
Date Added:
09/18/2014
Measure and Estimate in Feet and Yards
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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This short video and interactive assessment activity is designed to teach fifth graders about single object length ii (english units).

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021
Measurement Certainty: How Certain Are You?
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Educational Use
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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.

Subject:
Applied Science
Engineering
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Ralph Cox
Date Added:
10/14/2015
Metric Conversion of Liters and Milliliters to Find Equivalent Units
Conditional Remix & Share Permitted
CC BY-NC-SA
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This short video and interactive assessment activity is designed to give fifth graders an overview of conversion of capacity units (metric units).

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021
Metric Length Comparison in Meters Centimeters and Millimeters
Conditional Remix & Share Permitted
CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fifth graders about comparing meters, centimeters, and millimeters.

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021
Microplastic Extraction of Exfoliating Beads from Cleansers
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Educational Use
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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.

Subject:
Applied Science
Engineering
Life Science
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
David Bennett
Sara Hettenbach
William Welch
Date Added:
06/01/2018
Mixed Adding and Subtracting of Capacities English Units
Conditional Remix & Share Permitted
CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fifth graders about mixed adding and subtracting of capacities (english units).

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021
Mixed Operations Addition and Subtraction Metric Capacities
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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This short video and interactive assessment activity is designed to give fifth graders an overview of metric capacity operations.

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021
Monitoring Noise Levels with a Smart Device
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Educational Use
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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.

Subject:
Applied Science
Engineering
Mathematics
Measurement and Data
Physical Science
Physics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
Activities
Author:
Jana B. Milford
Kent Kurashima
Date Added:
11/03/2017
Multi Step Compound Unit Subtraction Word Problems
Conditional Remix & Share Permitted
CC BY-NC-SA
Rating
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This short video and interactive assessment activity is designed to teach fifth graders about multi-step compound unit subtraction - word problems.

Subject:
Mathematics
Measurement and Data
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
06/15/2021