The purpose of this task is to probe students' ability to correlate …
The purpose of this task is to probe students' ability to correlate symbolic statements about a function using function notation with a graph of the function, and to interpret their answers in terms of the quantities between which the function describes a relationship
In this hands-on inquiry activity, students will design and construct an apparatus …
In this hands-on inquiry activity, students will design and construct an apparatus that will permit an egg to survive a nine foot fall. Students are given limited materials, so they must critically think about the design and improvise strategies during the building of the apparatus
This task shows how to inscribe a circle in a triangle using …
This task shows how to inscribe a circle in a triangle using angle bisectors. A companion task, ``Inscribing a circle in a triangle II'' stresses the auxiliary remarkable fact that comes out of this task, namely that the three angle bisectors of triangle ABC all meet in the point O.
This task is primarily for instructive purposes but can be used for …
This task is primarily for instructive purposes but can be used for assessment as well. Parts (a) and (b) are good applications of geometric constructions using a compass and could be used for assessment purposes but the process is a bit long since there are six triangles which need to be constructed.
This problem introduces the circumcenter of a triangle and shows how it …
This problem introduces the circumcenter of a triangle and shows how it can be used to inscribe the triangle in a circle. It also shows that there cannot be more than one circumcenter.
This task focuses on a remarkable fact which comes out of the …
This task focuses on a remarkable fact which comes out of the construction of the inscribed circle in a triangle: the angle bisectors of the three angles of triangle ABC all meet in a point.
This course outline examines topics of importance to educators participating in instructional …
This course outline examines topics of importance to educators participating in instructional design projects. Topics include needs assessment, adult learning principles, learning objectives, instructional strategies, assessment, implementation and evaluation. Learners will develop a course using media and open educational resources while observing copyright and plagiarism guidelines.
This ITS ePrimer provides transportation professionals with fundamental concepts and practices related …
This ITS ePrimer provides transportation professionals with fundamental concepts and practices related to ITS technologies. This resource can help practicing professionals and students better understand how ITS is integrated into the planning, design, deployment, and operations of surface transportation systems. The ePrimer is both a stand-alone reference document for the practitioner as well as a text for education and training programs.
This division task asks studnets to consider the conceptual understanding of something …
This division task asks studnets to consider the conceptual understanding of something usually taught as a rote procedure. To be successful with this task, students must make sense of the procedure and how place value is represented and abbreviated within it.
The purpose of this task is to help students learn to read …
The purpose of this task is to help students learn to read information about a function from its graph, by asking them to show the part of the graph that exhibits a certain property of the function. The task could be used to further instruction on understanding functions, or as an assessment tool with the caveat that it requires some amount of creativity to decide how to best illustrate some of the statements.
This problem provides an opportunity to experiment with modeling real data. Populations …
This problem provides an opportunity to experiment with modeling real data. Populations are often modeled with exponential functions and in this particular case we see that, over the last 200 years, the rate of population growth accelerated rapidly, reaching a peak a little after the middle of the 20th century and now it is slowing down.
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