Students use balloons (a polymer) to explore preconditioning a viscoelastic material behavior that is important to understand when designing biomedical devices. They improve their understanding of preconditioning by measuring the force needed to stretch a balloon to the same displacement multiple times. Students gain experience in data collection and graph interpretation.

Prediction is at the heart of almost every scientific discipline, and the study of generalization (that is, prediction) from data is the central topic of machine learning and statistics, and more generally, data mining. Machine learning and statistical methods are used throughout the scientific world for their use in handling the "information overload" that characterizes our current digital age. Machine learning developed from the artificial intelligence community, mainly within the last 30 years, at the same time that statistics has made major advances due to the availability of modern computing. However, parts of these two fields aim at the same goal, that is, of prediction from data. This course provides a selection of the most important topics from both of these subjects.

Forecasting is the ultimate form of model validation. But even if a perfect model is in hand, imperfect forecasts are likely. This course will cover the factors that limit our ability to produce good forecasts, will show how the quality of forecasts can be gauged a priori (predicting our ability to predict!), and will cover the state of the art in operational atmosphere and ocean forecasting systems.

This 15-minute video lesson gives an example involving the preimage of a set under a transformation. It also gives a definition of kernel of a transformation.

In the first half of this module, students identify measurable attributes of objects in terms of length, weight, and capacity.  Students learn words such as small, big, short, tall, empty, full, heavy, and light so that they will have the vocabulary needed to describe objects (PK.MD.1).  The comparison of length, weight, and capacity naturally leads to discussions about quantity and number.  In the second half, measurement is connected to quantity as students reason if there are enough, more than, less than, or the same number of objects in a set using matching and counting strategies (PK.CC.5).  Comparing concrete sets leads to comparing quantities and abstract numbers.  Children will also focus on identifying first and last in quantities up to 5 and 10 in different configurations (PK.CC.6).

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 5 is the culmination of children’s work with number in the Pre-K year.  Throughout Modules 1 and 3, they had extensive counting experiences with numbers 0–10.  In Module 4, they examined the relationships between numbers 1–5 through comparison.  In Module 5, children transition from the comparative concept of more (4 apples is more than 1 apple) to the concept of addition (3 apples and 1 more apple make 4 apples).  They are ready to begin work with operations, focusing on addition and subtraction stories with numbers 1 to 5.  Students will also learn to write numerals 0-5 and explore patterns in this final module.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 1 capitalizes on the energy and excitement young students have as they enter their first day of Pre-K by providing a playful and active yet carefully sequenced structure through which children progress.  In this module, we set up a friendly learning environment in which children have sustained interaction with four core ideas, collectively referred to as the number core:  rote counting (the number word list), one-to-one correspondence (one object paired with one number word), cardinality (how many in a set), and written numerals.  Throughout the module, children have experiences that help them make critical connections between these four understandings.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

In Module 2, in the context of classroom play, children learn to identify, describe, sort, compare, and create two-dimensional (2-D) and three-dimensional (3-D) shapes and objects. Children develop vocabulary to describe the relative position of objects (e.g., top, bottom, up, down, in front of, behind, over, under, and next to), building foundational spatial reasoning abilities. In Module 1, students developed an understanding of numbers to 5. In Module 2, students practice these counting skills in the context of geometry (counting sides, corners, a group of triangles, etc.).

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Module 3 challenges students to build on their work with numbers through 5 to make sense of and count groups of 0, 6, 7, 8, 9, and 10 objects. Students also continue their work with the number core in the following ways (PK.CC.1–4): Rote counting (the number word list up to 15); one-to-one correspondence (one object paired with one number word from 0 to 10); cardinality (how many in a set of up to 10 objects); andnumber recognition (matching written numerals 0, 6, 7, 8, 9, and 10 to quantities). Throughout the module, children participate in engaging experiences that help them make critical connections between these four understandings.

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

This 30 minute video features a discussion between NYS Commissioner of Education John B. King Jr., David Coleman (contributing author to the Common Core) and Kate Gerson (a Sr. Fellow with the Regents Research Fund) on the first 20 paragraphs of Martin Luther King Jr.‰'s ‰"Letter from Birmingham Jail.‰" This conversation represents one of the ways a group of educators might prepare for close reading of text with students. This behind-the-scenes discourse represents the kind of dialogue teachers can have as they build their own fluency and familiarity with a text before diving into it with students. After watching this video, educators might ask themselves: Why are conversations like these important? What role can adult discussions of text play in teacher prep? Participants might also continue the conversation King, Coleman, and Gerson are having by picking up where they left off and engaging deeply around paragraphs 21-30. What happens next in the text? What is King ‰"up to‰" for those paragraphs?

**NOTE: The New York State Education Department shut down the EngageNY website in 2022. In order to maintain educators' access, nearly all resources have been uploaded to archive.org and the resource links above have been updated to reflect their new locations.**

Prescription Drug Safety is an innovative digital course that arms students with the knowledge and tools to make healthy, informed decisions when it comes to prescription medications. Through interactive scenarios and self-guided activities, students learn the facts about drugs, how to properly use and dispose of them, and how to step in when faced with a situation involving misuse.

This lesson culminates the unit with the Go Public phase of the legacy cycle. In the associated activity, students depict a tumor amidst healthy body tissue using a Microsoft Excel® graph. In addition, students design a brochure for both patients and doctors advertising a new form of painless yet reliable breast cancer detection. Together, the in-class activity and the take-home assignment function as an assessment of what students have learned throughout the unit.

The presidential election of 1824 represents a watershed in American politics. The collapse of the Federalist Party and the illness of the "official candidate" of the Democratic-Republicans led to a slate of candidates who were all Democratic-Republicans. This led to the end of the Congressional Caucus system for nominating candidates, and eventually, the development of a new two-party system in the United States. In this unit, students will read an account of the election from the Journal of the House of Representatives, analyze archival campaign materials, and use an interactive online activity to develop a better understanding of the election of 1824 and its significance.

Through these lessons, students learn to identify and describe the various roles and responsibilities of the President of the United States and their own roles as citizens of a democracy.

In order to become informed participants in a democracy, students must learn about the women and men who make decisions concerning their lives, their country, and the world. The President of the United States is one such leader. As a nation, we place no greater responsibility on any one individual than we do on the president. Through these lessons, students learn about the roles and responsibilities of the president and their own roles as citizens of a democracy.

Acting as civil engineers hired by the U.S. Department of Transportation to research how to best use piezoelectric materials to detect road damage, student groups are challenged to independently create their own experiment procedures, working with given materials and tools. The general approach is that they set up model roads using rubber mats to simulate asphalt and piezoelectric transducers to simulate the in-ground road sensors. They drop heavy bolts at various locations on the “road,” collecting data and then analyzing the voltage changes across the piezoelectric transducers caused by the vibrations of the bolt hitting the rubber. After making notches in the rubber “road” to simulate cracks and potholes, they collect more data to see if the piezo elements detect the damage. Students write up their research and conclusions as if presenting evidence to USDOT officials about how the voltage changes across the piezo elements can be used to indicate road damage and extrapolated to determine when roads need maintenance service.

The purpose of this task is to help students see that when you have a context that can be modeled with a ratio and associated unit rate, there is almost always another ratio with its associated unit rate (the only exception is when one of the quantities is zero), and to encourage students to flexibly choose either unit rate depending on the question at hand.

This course is designed to teach students how to price goods and services by providing a framework for understanding pricing strategies and tactics. Topics covered include economic value analysis, price elasticities, price customization, pricing complementary products, pricing in platform markets and anticipating competitive price responses.

This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.

As you read A Primer on Sustainable Business, we challenge you to not think of sustainability as a program, an initiative, or an activity. Rather, sustainability is a mind-set, a philosophy, and worldview. Throughout each chapter, you are challenged to alter the way you view your job, the workplace, the business, and the world. Whether you are an executive, an entrepreneur, or an employee, A Primer on Sustainable Business will help you understand the big picture of what it means to be a sustainable business and will give you the information you need to begin your journey toward sustainability.