In this activity, students will simulate the equal and unequal distribution of …
In this activity, students will simulate the equal and unequal distribution of our renewable resources. Also, they will consider the impact of our increasing population upon these resources and how engineers develop technologies to create resources.
This task illustrates the process of rearranging the terms of an expression …
This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents, precisely the language being used in standard A-SSE.B.3.
This rich task is an excellent example of geometric concepts in a …
This rich task is an excellent example of geometric concepts in a modeling situation and is accessible to all students. In this task, students will provide a sketch of a paper ice cream cone wrapper, use the sketch to develop a formula for the surface area of the wrapper, and estimate the maximum number of wrappers that could be cut from a rectangular piece of paper.
The purpose of this task is to engage students, probably working in …
The purpose of this task is to engage students, probably working in groups, in a substantial and open-ended modeling problem. Students will have to brainstorm or research several relevant quantities, and incorporate these values into their solutions.
This task emphasizes the expectation that students know linear functions grow by …
This task emphasizes the expectation that students know linear functions grow by constant differences over equal intervals and exponential functions grow by constant factors over equal intervals.
Gait analysis is the study of human motion that can be utilized …
Gait analysis is the study of human motion that can be utilized as biometric information or identification, for medical diagnostics or for comparative biomechanics. In this activity, students observe walking human subjects and then discuss parameters that could be used to characterize walking gaits. They use accelerometers to collect and graph acceleration vs. time data that can help in gait analysisâall part of practicing the engineering data analysis process. Students complete this activity before learning the material presented in the associated lesson.
The goal of this task is to get students to focus on …
The goal of this task is to get students to focus on the shape of the graph of the equation y=ex and how this changes depending on the sign of the exponent and on whether the exponential is in the numerator or denominator. It is also intended to develop familiarity, in the case of f and k, with the functions which are used in logistic growth models, further examined in ``Logistic Growth Model, Explicit Case'' and ``Logistic Growth Model, Abstract Verson.''
This task requires students to determine whether a number is rational or …
This task requires students to determine whether a number is rational or irrational. The task assumes that students are able to express a given repeating decimal as a fraction.
In this task, students use trigonometric functions to model the movement of …
In this task, students use trigonometric functions to model the movement of a point around a wheel and, in the case of part (c), through space (F-TF.5). Students also interpret features of graphs in terms of the given real-world context (F-IF.4).
This is a direct task suitable for the early stages of learning …
This is a direct task suitable for the early stages of learning about exponential functions. Students interpret the relevant parameters in terms of the real-world context and describe exponential growth.
In this role-playing activity, students learn how cellular phone service works, its …
In this role-playing activity, students learn how cellular phone service works, its advantages and its limitations. Students also learn about the advantages and limitations of satellite phone service. Phone communication involves many aspects of science, math and engineering, and this activity conveys to students how these technologies help people to stay better connected. Students use what they learn to understand what communication options might be available for Maya and her parents, Spacewoman Tess and Spaceman Rohan.
Students are asked to consider the expression that arises in physics as …
Students are asked to consider the expression that arises in physics as the combined resistance of two resistors in parallel. However, the context is not explicitly considered here. The task is good general preparation for problems more specifically aligned to either A-SSE.1 or A-SSE.2.
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
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.
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