This Cyberchase video segment features Bianca, who must figure out the fastest route to a movie premiere.
16.225 is a graduate level course on Computational Mechanics of Materials. The primary focus of this course is on the teaching of state-of-the-art numerical methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered in this course will include: linear and finite deformation elasticity, inelasticity and dynamics. Numerical formulation and algorithms will include: Variational formulation and variational constitutive updates, finite element discretization, error estimation, constrained problems, time integration algorithms and convergence analysis. There will be a strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. At the beginning of the course, the students will be given the source of a base code with all the elements of a finite element program which constitute overhead and do not contribute to the learning objectives of this course (assembly and equation-solving methods, etc.). Each assignment will consist of formulating and implementing on this basic platform, the increasingly complex algorithms resulting from the theory given in class, as well as in using the code to numerically solve specific problems. The application to real engineering applications and problems in engineering science will be stressed throughout.
This lesson builds on counting skills using an upbeat musical song. This is a foundational kindergarten concept and provides experience with rote counting, rythmic beat, and visual number recognition. Â Students will begin to see the numeric patterning of numbers while singing the song.
Explores aesthetic and technical underpinnings of contemporary dance composition. Basic compositional techniques discussed and practiced with an emphasis on principles such as weight, space, time, effort, and shape. Principles of musicality considered and developed by each student. Working together, students create short compositions to help them understand the range of possibilities available when working with the medium of the human body. Selected viewing and reading exercises augment classroom work. Class attends at least two professional dance events in the Boston area.
This lesson explores elapsed time through the use of timelines. Students will use timelines to mark start times and end times of given activities, and will interpret the timelines to understand how to calculate elapsed time. With the exception of the Timeline Activity Sheet, you will want to make sure that each student has one copy of each activity sheet. Make multiple copies of the Timeline Activity Sheet so that each student can have at least 3 copies.
This Illuminations activity focuses on making predictions and the collection and analysis of data by having students take their pulse after different exercises. All individual data is collected in a classroom chart where the results are interpreted and conclusions drawn. The lesson includes a student worksheet and extension questions.
In this video segment from Cyberchase, Harry decides to train as a firefighter and uses line graphs to chart his physical fitness progress.
Advances in cognitive science have resolved, clarified, and sometimes complicated some of the great questions of Western philosophy: what is the structure of the world and how do we come to know it; does everyone represent the world the same way; what is the best way for us to act in the world. Specific topics include color, objects, number, categories, similarity, inductive inference, space, time, causality, reasoning, decision-making, morality and consciousness. Readings and discussion include a brief philosophical history of each topic and focus on advances in cognitive and developmental psychology, computation, neuroscience, and related fields. At least one subject in cognitive science, psychology, philosophy, linguistics, or artificial intelligence is required. An additional project is required for graduate credit.
This google slide show is a collection of slides for use in grade 1 as a routine for learning to tell time and exploring time-related concepts. The focus is on discussing the measurement of time.
In Module 8, the final module of the year, students extend their understanding of partwhole relationships through the lens of geometry. As students compose and decompose shapes, they begin to develop an understanding of unit fractions as equal parts of a whole.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
In this math activity, learners prepare jumping jack data to send to officials on the planet Jumpalot. Learners record how many jumping jacks they can do in ten seconds and use their knowledge of time conversions to figure out how many jumping jacks they could complete in a minute all the way to a year. Learners then organize group data and explore mean, median, and mode and the effects extreme values have on these measures. Finally, learners brainstorm the advantages and disadvantages each measure offers. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.
In this 5-lesson unit, students engage in measurement activities involving length, area, volume, time, and weight, using objects, pictures and symbols. Students practice measuring using standard and nonstandard units. Some lessons are introduced using children's literature.
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
En el módulo 8, el módulo final del año, los estudiantes amplían su comprensión de las relaciones completas a través de la lente de la geometría. A medida que los estudiantes componen y descomponen formas, comienzan a desarrollar una comprensión de las fracciones unitarias como partes iguales de un todo.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description:
In Module 8, the final module of the year, students extend their understanding of partwhole relationships through the lens of geometry. As students compose and decompose shapes, they begin to develop an understanding of unit fractions as equal parts of a whole.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Students investigate the accuracy of sundials and the discrepancy that lies between "real time" and "clock time." They track the position of the sun during the course of a relatively short period of time as they make a shadow plot, a horizontal sundial, and a diptych sundial. (The activity may be abridged to include only one or two of the different sundials, instead of all three.)
Students are introduced to the concept of projectile motion, of which they are often familiar from life experiences,such as playing sports such as basketball or baseball, even though they may not understand the physics involved. Students use tabletop-sized robots to build projectile throwers and measure motion using sensors. They compute distances and velocities using simple kinematic equations and confirm their results through measurements by hand. To apply the concept, students calculate the necessary speed of an object to reach a certain distance in a hypothetical scenaro: A group of hikers stranded at the bottom of a cliff need food, but rescuers cannot deliver it themselves, so they must devise a way to get the food to the hikers.
In this unit, students integrate their understanding of skip counting by 5s and 10s to support telling and writing time to the nearest five minutes. They expand their prior knowledge of telling time to the nearest half hour, hour, and counting by tens to include counting by fives. Applying the knowledge of counting by fives and tens to the clock equips students to be successful in the real-life situation of telling time.
In this 5-lesson multi-media unit, students will explore various real-world applications of different forms of measurement, including time and distance. They will make estimations and calculations. Throughout the unit, students will be using online resources to familiarize themselves with coral reefs, the nation of Belize, and to plan a pretend scuba diving trip. Activity sheets (pdf), links to online resources, assessment options and other commentary are provided.
Core Lessons
From polygons to percentages, CORE lessons explore the principals of math and science through programming. SPRK begins with MacroLab - a visual programming app. After completing five MacroLab lessons, students will be ready for advanced lessons in OrbBasic - a powerful app for text-based programming. These lessons align with the national Common Core Curriculum for 3rd, 4th and 5th grade. Each lesson has a step-by-step teacher guide, student guide and worksheet.
Students strengthen their communicate skills about measurements by learning the meaning of base units and derived units, including speed one of the most common derived units (distance/time). Working in groups, students measure the time for LEGO MINDSTORMS(TM) NXT robots to move a certain distance. The robots are started and stopped via touch sensors and programmed to display the distance traveled. Using their collected data, students complete a worksheet to calculate the robots' (mean/average) speeds at given motor powers.
In this month-long interdisciplinary project students collect weather data, determine the best visual representation for displaying it, and discuss the patterns and implications of their findings. This resource includes extension and assessment suggestions and guiding questions.