People using crutches have their hands occupied, which makes it difficult to …
People using crutches have their hands occupied, which makes it difficult to carry books and other items they want to have handy. Student teams are challenged to design assistive devices that modify crutches to help people carry things such as books and school supplies. Given a list of constraints, including a device weight limit and minimum load capacity, groups brainstorm ideas and then make detailed plans for their best solutions. They create prototypes and then test for functionality by loading them and using them, making improvements with each iteration. At a concluding design expo, teams present their concepts and demonstrate their final prototype devices.
In this activity, students construct adding slide rules, scaled with linear calibrations …
In this activity, students construct adding slide rules, scaled with linear calibrations like ordinary rulers. Students learn to move these scales relative to each other in ways that add and subtract distances, thus calculating sums and differences. This is Activity A1 in the "Far Out Math" educator's guide. Lessons within the guide include activities in which students measure, compare quantities as orders of magnitude, use scientific notation, and develop an understanding of exponents and logarithms using examples from NASA's GLAST mission. These are skills needed to understand the very large and very small quantities characteristic of astronomical observations. Note: In 2008, the GLAST mission was renamed Fermi, for the physicist Enrico Fermi.
To add the vectors (x‰âپ,y‰âپ) and (x‰ââ,y‰ââ), we add the corresponding components …
To add the vectors (x‰âپ,y‰âپ) and (x‰ââ,y‰ââ), we add the corresponding components from each vector: (x‰âپ+x‰ââ,y‰âپ+y‰ââ). Here's a concrete example: the sum of (2,4) and (1,5) is (2+1,4+5), which is (3,9). There's also a nice graphical way to add vectors, and the two ways will always result in the same vector.‰غـ‰غـ
The purpose of this task is to study some patterns in a …
The purpose of this task is to study some patterns in a small addition table. Each pattern identified persists for a larger table and if more time is available for this activity students should be encouraged to explore these patterns in larger tables.
This is a task from the Illustrative Mathematics website that is one …
This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.
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