This problem allows students to see words that can describe the expression. …
This problem allows students to see words that can describe the expression. Additionally , the words (add, sum) and (product, multiply) are all strategically used so that the student can see that these words have related meanings.
Investigating a waterwheel illustrates to students the physical properties of energy. They …
Investigating a waterwheel illustrates to students the physical properties of energy. They learn that the concept of work, force acting over a distance, differs from power, which is defined as force acting over a distance over some period of time. Students create a model waterwheel and use it to calculate the amount of power produced and work done.
Students learn how motion capture (mo-cap) technology enables computer animators to create …
Students learn how motion capture (mo-cap) technology enables computer animators to create realistic effects. They learn the importance of center of gravity in animation and how to use the concept of center of gravity in writing an action scene. Note: The literacy activities for the Mechanics unit are based on physical themes that have broad application to our experience in the world â concepts of rhythm, balance, spin, gravity, levity, inertia, momentum, friction, stress and tension.
In this activity, students create a book, newspaper or other published work …
In this activity, students create a book, newspaper or other published work to communicate what they have learned about engineering and the environment.
The purpose of this task is to help students understand and articulate …
The purpose of this task is to help students understand and articulate the reasons for the steps in the usual algorithm for converting a mixed number into an equivalent fraction.
The purpose of this task is to give students practice writing a …
The purpose of this task is to give students practice writing a constraint equation for a given context. Instruction accompanying this task should introduce the notion of a constraint equation as an equation governing the possible values of the variables in question.
The instructions for the two expressions sound very similar, however, the order …
The instructions for the two expressions sound very similar, however, the order in which the different operations are performed and the exact wording make a big difference in the final expression. Students have to pay close attention to the wording: Ňsubtract the result from 1Ó and Ňsubtract 1 from the resultÓ are very different.
The editors of Writing in Knowledge Societies provide a thoughtful, carefully constructed …
The editors of Writing in Knowledge Societies provide a thoughtful, carefully constructed collection that addresses the vital roles rhetoric and writing play as knowledge-making practices in diverse knowledge-intensive settings. The essays in this book examine the multiple, subtle, yet consequential ways in which writing is epistemic, articulating the central role of writing in creating, shaping, sharing, and contesting knowledge in a range of human activities in workplaces, civic settings, and higher education. Writing in Knowledge Societies helps us conceptualize the ways in which rhetoric and writing work to organize, (re-)produce, undermine, dominate, marginalize, or contest knowledge-making practices in diverse settings, showing the many ways in which rhetoric and writing operate in knowledge-intensive organizations and societies.
The purpose of this task is to give students practice interpreting statements …
The purpose of this task is to give students practice interpreting statements using function notation. It can be used as a diagnostic if students seem to be having trouble with function notation, for example interpreting f(x) as the product of f and x.
Students learn about archives and primary sources as they research original historical …
Students learn about archives and primary sources as they research original historical documents. While preparing an imaginative first-person account as if witnessing an historical event, they learn to appreciate the value of the first-person, eye-witness account and understand its limitations. Note: The literacy activities for the Mechanics unit are based on physical themes that have broad application to our experience in the world â concepts of rhythm, balance, spin, gravity, levity, inertia, momentum, friction, stress and tension.
This is a simple task touching on two key points of functions. …
This is a simple task touching on two key points of functions. First, there is the idea that not all functions have real numbers as domain and range values. Second, the task addresses the issue of when a function admits an inverse, and the process of "restricting the domain" in order to achieve an invertible function.
The purpose of this activity is to demonstrate Newton's 3rd Law of …
The purpose of this activity is to demonstrate Newton's 3rd Law of Motion, which is the physical law that governs thrust in aircraft. The students will do several activities that show that for every action there is an equal and opposite reaction.
To explore different ways of using solar energy, students build a model …
To explore different ways of using solar energy, students build a model solar water heater and determine how much it can heat water in a given amount of time. Solar water heaters work by solar radiation and convection.
Student teams learn about and devise technical presentations on four reproductive technology …
Student teams learn about and devise technical presentations on four reproductive technology topics pregnancy ultrasound, amniocentesis, in-vitro fertilization or labor anesthetics. Each team acts as a panel of engineers asked to make a presentation to a group of students unfamiliar with the reproductive technology. Each group incorporates non-lecture elements into its presentation for greater effectiveness. As students learn about the technologies, by creating a presentation and listening to other groups' presentations, they also learn more about the valuable skill of technical communications.
Students learn about trigonometry, geometry and measurements while participating in a hands-on …
Students learn about trigonometry, geometry and measurements while participating in a hands-on interaction with LEGO® MINDSTORMS® NXT technology. First they review fundamental geometrical and trigonometric concepts. Then, they estimate the height of various objects by using simple trigonometry. Students measure the height of the objects using the LEGO robot kit, giving them an opportunity to see how sensors and technology can be used to measure things on a larger scale. Students discover that they can use this method to estimate the height of buildings, trees or other tall objects. Finally, students synthesize their knowledge by applying it to solve similar problems. By activity end, students have a better grasp of trigonometry and its everyday applications.
This task looks at zeroes and factorization of a general polynomial. It …
This task looks at zeroes and factorization of a general polynomial. It is related to a very deep theorem in mathematics, the Fundamental Theorem of Algebra, which says that a polynomial of degree d always has exactly d roots, provided complex numbers are allowed as roots and provided roots are counted with the proper "multiplicity.''
The intention of this task is to provide extra depth to the …
The intention of this task is to provide extra depth to the standard A-APR.2 it is principally designed for instructional purposes only. The students may use graphing technology: the focus, however, should be on what happens to the function g when x=0 and the calculator may or may not be of help here (depending on how sophisticated it is!).
For a polynomial function p, a real number r is a root …
For a polynomial function p, a real number r is a root of p if and only if p(x) is evenly divisible by x_r. This fact leads to one of the important properties of polynomial functions: a polynomial of degree d can have at most d roots. This is the first of a sequence of problems aiming at showing this fact.
This task continues ``Zeroes and factorization of a quadratic polynomial I.'' The …
This task continues ``Zeroes and factorization of a quadratic polynomial I.'' The argument here generalizes, as shown in ``Zeroes and factorization of a general polynomial'' to show that a polynomial of degree d can have at most d roots. This task is intended for instructional purposes to help students see more clearly the link between factorization of polynomials and zeroes of polynomial functions.
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