After students observed, analyzed, and classified objects by shape into pre-determined categories in Module 2, they now compare and analyze length, weight, volume, and, finally, number in Module 3. The module supports students’ understanding of amounts and their developing number sense. The module culminates in a three-day exploration, one day devoted to each attribute: length, weight, and volume.

**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 4 marks the next exciting step in math for kindergartners, addition and subtraction! They begin to harness their practiced counting abilities, knowledge of the value of numbers, and work with embedded numbers to reason about and solve addition and subtraction expressions and equations. In Topics A and B, decomposition and composition are taught simultaneously using the number bond model so that students begin to understand the relationship between parts and wholes before moving into formal work with addition and subtraction in the rest of the 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.**

Kindergarten comes to a close with another opportunity for students to explore geometry in Module 6. Throughout the year, students have built an intuitive understanding of two- and three-dimensional figures by examining exemplars, variants, and non-examples. They have used geometry as a context for exploring numerals as well as comparing attributes and quantities. To wrap up the year, students further develop their spatial reasoning skills and begin laying the groundwork for an understanding of area through composition of geometric figures.

**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.**

Students construct a model roadway with congestion and apply their knowledge of level of service (LOS) to assign a grade to the road conditions. The roadway is simply a track outlined with cones or ropes with a few students walking around it to mimic congestion. The remaining students employ both techniques of density and flow to classify the LOS of the track.

Fundamental principles of biochemistry. Analysis of the mode of action and structure of regulatory, binding, and catalytic proteins. The tools and analytical methods that biochemists use to dissect biological problems. Analysis of the mode of action and structure of regulatory, binding, and catalytic proteins.

This is a great question you might be asking yourself, and if you’re not asking it, you probably should be. If you are a native speaker of English, you don’t even have to think about it to use grammar correctly, at least for the most part. If you have ever watched a child develop language, you know that, at a very young age, children know what is necessary for language to make sense.

This grammar provides the first comprehensive grammatical description of Moloko, a Chadic language spoken by about 10,000 speakers in northern Cameroon. The grammar was developed from hours and years that the authors spent at friends’ houses hearing and recording stories, hours spent listening to the tapes and transcribing the stories, then translating them and studying the language through them. Time was spent together and with others speaking the language and talking about it, translating resources and talking to Moloko people about them. Grammar and phonology discoveries were made in the office, in the fields while working, and at gatherings. In the process, the four authors have become more and more passionate about the Moloko language and are eager to share their knowledge about it with others.

Pite Saami is a highly endangered Western Saami language in the Uralic language family currently spoken by a few individuals in Swedish Lapland. This grammar is the first extensive book-length treatment of a Saami language written in English. While focussing on the morphophonology of the main word classes nouns, adjectives and verbs, it also deals with other linguistic structures such as prosody, phonology, phrase types and clauses. Furthermore, it provides an introduction to the language and its speakers, and an outline of a preliminary Pite Saami orthography. An extensive annotated spoken-language corpus collected over the course of five years forms the empirical foundation for this description, and each example includes a specific reference to the corpus in order to facilitate verification of claims made on the data. Descriptions are presented for a general linguistics audience and without attempting to support a specific theoretical approach, but this book should be equally useful for scholars of Uralic linguistics, typologists, and even learners of Pite Saami.

Detailed examination of the grammar of a language whose structure is significantly different from English, with special emphasis on problems of interest in the study of linguistic universals. A native speaker of the language assists when possible. From the course home page Course Description This course is designed to allow participants to engage in the exploration of the grammatical structure of a language that is unknown to them (and typically to the instructors as well). In some ways it simulates traditional field methods research. In terms of format, we work in both group and individual meetings with the consultant. Each student identifies some grammatical construction (e.g. wh questions, agreement, palatalization, interrogative intonation) to focus their research: they elicit and share data and write a report on the material gathered that is to be turned in at the end of the term. Ideally, we can put together a volume of grammatical sketches. The first three to four weeks of the term, our group meetings will explore the basic phonology, morphology and surface syntax for a first pass overview of the language, looking for interesting areas to be explored in more detail later. During this period individual sessions can review material from the general session as well as explore new areas. At roughly the fifth meeting, individual students (typically two to three per session) guide the group elicitations to explore their research topic.

This book introduces formal grammar theories that play a role in current linguistic theorizing (Phrase Structure Grammar, Transformational Grammar/Government & Binding, Generalized Phrase Structure Grammar, Lexical Functional Grammar, Categorial Grammar, Head-​Driven Phrase Structure Grammar, Construction Grammar, Tree Adjoining Grammar). The key assumptions are explained and it is shown how the respective theory treats arguments and adjuncts, the active/passive alternation, local reorderings, verb placement, and fronting of constituents over long distances. The analyses are explained with German as the object language.

This lesson introduces the MRI Safety Grand Challenge question. Students are asked to write journal responses to the question and brainstorm what information they will need to answer the question. The ideas are shared with the class and recorded. Students then watch a video interview with a real life researcher to gain a professional perspective on MRI safety and brainstorm any additional ideas. The associated activity provides students the opportunity to visualize magnetic fields.

This lesson introduces the Bone Module Grand Challenge question. Students are asked to write their initial responses to the question alone. They will then brainstorm ideas with one other student. Finally, the ideas are shared with the class and recorded. It is important for students to gather information to decide whether or not this condition is hereditary. Students then watch two videos about osteoporosis. Grand Challenge Question: When you get home from school, your mother grabs you, and you rush to the hospital. Your grandmother fell and was rushed to the emergency room. The doctor tells your family your grandmother has a fractured hip, and he is referring her to an orthopedic specialist. The orthopedic doctor decides to perform a DEXA scan. The result showed her bone mineral density (BMD) was -3.3. What would be a probable diagnosis to her condition? What are some possible causes of her condition? Should her family be worried that this condition is hereditary, and if so, what are possible prevented measures they could take to prevent this from happening to them? What statistical method did you use to determine if the condition is hereditary?

Students are introduced to the Robotics Peripheral Vision Grand Challenge question. They are asked to write journal responses to the question and brainstorm what information they require to answer the question. Their ideas are shared with the class and recorded. Then, students share their ideas with each other and brainstorm any additional ideas. Next, students draw a basis for the average peripheral vision of humans and then compare that range to the range of two different focal lengths in a camera. Through the associated activity provides, students see the differences between human and computer vision.

This art history video discussion examines Grant Wood's "American Gothic", 1930, oil on beaver board, 78 x 65.3 cm / 30-3/4 x 25-3/4 inches (The Art Institute of Chicago).

Students use graph theory to create social graphs for their own social networks and apply what learn to create a graph representing the social dynamics found in a dramatic text. Students then derive meaning based on what they know about the text from the graphs they created. Students learn graph theory vocabulary, as well as engineering applications of graph theory.

This textbook -- written by a group of select experts with a focus on different aspects of the design process, from creation to production -- addresses the many steps of creating and then producing physical, printed, or other imaged products that people interact with on a daily basis. It covers the concept that, while most modern graphic design is created on computers using design software, the ideas and concepts don’t stay on the computer. The ideas need to be completed in the computer software, then progress to an imaging (traditionally referred to as printing) process. Keywords are highlighted throughout and summarized in a Glossary at the end of the book, and each chapter includes exercises and suggested readings.

Students learn about an important characteristic of lines: their slopes. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero or undefined. Students get an explanation of when and how these different types of slope occur. Finally, they learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another.

Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!

Students analyze their social networks using graph theory. They gather data on their own social relationships, either from Facebook interactions or the interactions they have throughout the course of a day, recording it in Microsoft Excel and using Cytoscape (a free, downloadable application) to generate social network graphs that visually illustrate the key persons (nodes) and connections between them (edges). The nodes in the Cytoscape graphs are color-coded and sized according to the importance of the node (in this activity, nodes are people in students' social networks). After the analysis, the graphs are further examined to see what can be learned from the visual representation. Students gain practice with graph theory vocabulary, including node, edge, betweeness centrality and degree on interaction, and learn about a range of engineering applications of graph theory.