The purpose of this task is to provide an opportunity for students …
The purpose of this task is to provide an opportunity for students to reason about equivalence of equations. The instruction to give reasons that do not depend on solving the equation is intended to focus attention on the transformation of equations as a deductive step.
The purpose of this task is to give students experience in using …
The purpose of this task is to give students experience in using simulation to determine if observed results are consistent with a given model (in this case, the Ňjust guessingÓ model). Part (i) also addresses the role of random assignment in the design of an experiment and assesses understanding of this concept.
This task involves two aspects of statistical reasoning: providing a probabilistic model …
This task involves two aspects of statistical reasoning: providing a probabilistic model for the situation at hand, and defining a way to collect data to determine whether or not the observed data is reasonably likely to occur under the chosen model. When guessing between two choices, there is no reason to suspect that one outcome is more likely than the other. Thus, a model that assumes the two outcomes to be equally likely (such as flipping a coin) is appropriate.
This task is an example of applying geometric methods to solve design …
This task is an example of applying geometric methods to solve design problems and satisfy physical constraints. This task models a satellite orbiting the earth in communication with two control stations located miles apart on earthsŐ surface.
The context of this task is a familiar one: a cold beverage …
The context of this task is a familiar one: a cold beverage warms once it is taken out of the refrigerator. Rather than giving the explicit function governing this warmth, a graph is presented along with the general form of the function. Students must then interpret the graph in order to understand more specific details regarding the function.
Students develop an understanding of the concepts of "push" and "pull" as …
Students develop an understanding of the concepts of "push" and "pull" as they "save" stuffed animals from danger using LEGO MINDSTORMS(TM) NXT robots. After learning more about the concepts through a robot demonstration, students explore the concepts themselves in the context of saving stuffed animala from the table edges. They choose to either push or pull the animal to safety, depending on the orientation of the robot and toy. They see the consequences of their choices, learning the importance of understanding these force concepts and the differences between them.
This word problem may be used for instructional or assessment purposes, depending …
This word problem may be used for instructional or assessment purposes, depending on where students are in their understanding of addition and how the teacher supports them.
This collection uses primary sources to explore the 1925 Scopes Trial. Digital …
This collection uses primary sources to explore the 1925 Scopes Trial. Digital Public Library of America Primary Source Sets are designed to help students develop their critical thinking skills and draw diverse material from libraries, archives, and museums across the United States. Each set includes an overview, ten to fifteen primary sources, links to related resources, and a teaching guide. These sets were created and reviewed by the teachers on the DPLA's Education Advisory Committee.
The purpose of this task is to identify the structure in the …
The purpose of this task is to identify the structure in the two algebraic expressions by interpreting them in terms of a geometric context. Students will have likely seen this type of process before, so the principal source of challenge in this task is to encourage a multitude and variety of approaches, both in terms of the geometric argument and in terms of the algebraic manipulation.
The purpose of this task is to help students see that 4_(9+2) …
The purpose of this task is to help students see that 4_(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without evaluating it.
Students learn about seismology by using a sample seismograph constructed out of …
Students learn about seismology by using a sample seismograph constructed out of common classroom materials. The seismograph creates a seismogram based on vibrations caused by moving a ruler. The students work in groups to represent an engineering firm that must analyze the seismograph for how it works and how to read the seismogram it creates.
This task is a modeling problem which ties in to financial decisions …
This task is a modeling problem which ties in to financial decisions faced routinely by businesses, namely the balance between maintaining inventory and raising short-term capital for investment or re-investment in developing the busines
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