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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 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 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.

In this task students use algebraic methods to determine whether each of the functions is odd, even, or neither.

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.

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.''

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 about exponential functions. Students interpret the relevant parameters in terms of the real-world context and describe exponential growth.

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 help students see manipulation of expressions as an activity undertaken for a purpose.

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

Microstudies in Public Administration and Public Affairs

Short Description:
A collection of small-scale research projects in matters of public administration and public affairs, carried out by graduate students in the Programs of Public Affairs, University of Utah.

Long Description:
Unbeknownst to them, graduate students enrolled in Dr. David Carter’s Fall 2020 section of Research Design embarked on an experiment in research instruction. Working in groups of two-to-four, they conceived of, designed, and executed public affairs “microstudies”—small-scale research projects focused on tailored questions of public policy and public administration. This book presents the result of this experiment: seven diverse research projects on topics including public transit ridership, telework, and K-12 education modes during the COVID-19 pandemic; reproductive healthcare policy impacts; municipal climate change plans; environmental (in)justice, and; the workforce experiences of those with invisible disabilities. The studies are diverse in epistemological underpinnings and research methods—ranging from critical and interpretivist qualitative investigations to quantitative analysis of secondary data—but are united in their collective attention to research design fidelity and concern for findings with “public” relevance.

Word Count: 44542

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

More Microstudies in Public Administration and Public Affairs

Short Description:
A collection of small-scale research projects in matters of public administration and public affairs, carried out by graduate students in the Programs of Public Affairs, University of Utah.

Long Description:
Public affairs graduate students enrolled in Dr. David Carter’s fall 2021 Research Design course once again embarked on a somewhat unorthodox curriculum, executing complete research projects from start to finish in 15 weeks. The result was seven microstudies that tackle prescient topics with both practical and scholarly importance, including: consumers’ motivations regarding sustainable product purchases, American support for U.S. policy towards the United Nations, the impact of contemporary “critical race theory” debates on teachers and education, wildfire causes and consequences across jurisdictions, the impact of the SARS-CoV-2 pandemic on single mothers, and the affect of state policies on queer youth. The studies are diverse in epistemological underpinnings and research methods—ranging from critical and interpretivist qualitative investigations to quantitative analysis of secondary data—but are united in their collective attention to research design fidelity and concern for findings with “public” relevance.

Word Count: 32795

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

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 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 task provides an opportunity for students to apply triangle congruence theorems in an explicit, interesting context.

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 construction of the inscribed circle in a triangle: the angle bisectors of the three angles of triangle ABC all meet in a point.

This video is performed by MC Santi, off his album "Math Volume 1". Check out MCSantiMath.com for more tutorials and other learning resources. Song and alb...