This short video and interactive assessment activity is designed to teach fifth graders about multiplying 2-digit by 2-digit numbers in columns.

This short video and interactive assessment activity is designed to teach fourth graders about comparing using greater than, less than, and equal to.

This short video and interactive assessment activity is designed to teach fourth graders about multiplying and dividing (english units).

This short video and interactive assessment activity is designed to teach fourth graders about solving multi-step problems with multiplication and division (metric units) - word problems.

This short video and interactive assessment activity is designed to teach fourth graders about multiplying lengths (english units).

This short video and interactive assessment activity is designed to teach fourth graders about multiplying weights (metric units).

Using cards with integers on them to practice multiplying and dividing integers. This resource links to the teacher's lesson plan. You can find the other parts (including student materials) in the Grade 7 Module 2 archive: https://goopenct.org/courses/grade-7-module-2-rational-numbers

**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.**

Languages and compilers to exploit multithreaded parallelism. Implicit parallel programming using functional languages and their extensions. Higher-order functions, non-strictness, and polymorphism. Explicit parallel programming and nondeterminism. The lambda calculus and its variants. Term rewriting and operational semantics. Compiling multithreaded code for symmetric multiprocessors and clusters. Static analysis and compiler optimizations.

This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required.

This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.

Computer-aided design methodologies for synthesis of multivariable feedback control systems. Performance and robustness trade-offs. Model-based compensators; Q-parameterization; ill-posed optimization problems; dynamic augmentation; linear-quadratic optimization of controllers; H-infinity controller design; Mu-synthesis; model and compensator simplification; nonlinear effects. Computer-aided (MATLAB) design homework using models of physical processes. This course uses computer-aided design methodologies for synthesis of multivariable feedback control systems. Topics covered include: performance and robustness trade-offs; model-based compensators; Q-parameterization; ill-posed optimization problems; dynamic augmentation; linear-quadratic optimization of controllers; H-infinity controller design; Mu-synthesis; model and compensator simplification; and nonlinear effects. The assignments for the course comprise of computer-aided (MATLABĺ¨) design problems.

Students are introduced to the parameters of an engineering challenge in which their principal has asked them to devise an invisible security system to cost-effectively protect a treasured mummified troll, while still allowing for visitor viewing during the day. Students generate ideas for solving the grand challenge, first independently, then in small groups, and finally, compiled as a class.

This activity helps students learn about the three different types of muscles and how outer space affects astronauts' muscles. They will discover how important it is for astronauts to get adequate exercise both on Earth and in outer space. Also, through the design of their own microgravity exercise machine, students learn about the exercise machines that engineers design specifically for astronaut use.

Students are introduced to the field of biomechanics and how the muscular system produces human movement. They learn the importance of the muscular system in our daily lives, why it is important to be able to repair muscular system injuries and how engineering can help.

Growth and development of normal bone and joints, the process of mineralization, the biophysics of bone and response to stress and fracture, calcium and phosphate homeostasis and regulation by parathyroid hormone and vitamin D, and the pathogenesis of metabolic bone diseases and disease of connective tissue, joints, and muscles, with consideration of possible mechanisms and underlying metabolic derangements.

Welcome to Music 101.  I think you’ve made a smart choice to spend some weeks studying some of the greatest music ever written.  Consider for a moment how quickly a hit pop song passes from fashionable to forgotten.  Those of us that have been out of high school or college more years than we care to remember have certainly had the experience of hearing a favorite anthem of our youth and thinking, “Oh yeah, that song!  I’d forgotten that one.”  Think about that: the song was totally loved, then completely forgotten within a matter of just a few years.  Then consider that many of the composers that we will study have been dead for over two hundred years, and yet their music has never been forgotten and never stopped being performed and loved.  That, quite simply, is amazing.

This course is an exposition of the philosophy, principles, and materials of music from the Baroque Period to contemporary period with illustrative examples from the Baroque Period, Classical Period, Romantic Period, Contemporary Classical Music and Popular Music. The course is designed to give the student an appreciation of music by exposing them to many musical styles, composers, historical trends, as well as increasing their aural, verbal and writing skills in describing music.

Music is an important part of human experience and the unending desire to express oneself in creative and imaginative ways. The purpose of this course is to help students further enhance their appreciation for music as a creative tool of the imagination, as entertainment, and as a window into who we are as social beings. Part of the course also helps students to advance their listening skills, which leads to a better understand of what music actually contains. For this purpose, the course explores western classical music; American folk, popular and religious music; along with a sampling of music from non-western cultures. Login: guest_oclPassword: ocl

This problem requires a comparison of rates where one is given in terms of unit rates, and the other is not.