Students use a geometric model to investigate common factors and the greatest …

Students use a geometric model to investigate common factors and the greatest common factor of two numbers.Key ConceptsA geometric model can be used to investigate common factors. When congruent squares fit exactly along the edge of a rectangular grid, the side length of the square is a factor of the side length of the rectangular grid. The greatest common factor (GCF) is the largest square that fits exactly along both the length and the width of the rectangular grid. For example, given a 6-centimeter × 8-centimeter rectangular grid, four 2-centimeter squares will fit exactly along the length without any gaps or overlaps. So, 2 is a factor of 8. Three 2-centimeter squares will fit exactly along the width, so 2 is a factor of 6. Since the 2-centimeter square is the largest square that will fit along both the length and the width exactly, 2 is the greatest common factor of 6 and 8. Common factors are all of the factors that are shared by two or more numbers.The greatest common factor is the greatest number that is a factor shared by two or more numbers.Goals and Learning ObjectivesUse a geometric model to understand greatest common factor.Find the greatest common factor of two whole numbers equal to or less than 100.

Lesson OverviewStudents use a geometric model to investigate common multiples and the …

Lesson OverviewStudents use a geometric model to investigate common multiples and the least common multiple of two numbers.Key ConceptsA geometric model can be used to investigate common multiples. When congruent rectangular cards with whole-number lengths are arranged to form a square, the length of the square is a common multiple of the side lengths of the cards. The least common multiple is the smallest square that can be formed with those cards.For example, using six 4 × 6 rectangles, a 12 × 12 square can be formed. So, 12 is a common multiple of both 4 and 6. Since the 12 × 12 square is the smallest square that can be formed, 12 is the least common multiple of 4 and 6.Common multiples are multiples that are shared by two or more numbers. The least common multiple (LCM) is the smallest multiple shared by two or more numbers.Goals and Learning ObjectivesUse a geometric model to understand least common multiples.Find the least common multiple of two whole numbers equal to or less than 12.

Students explore Hooke's law while working in small groups at their lab …

Students explore Hooke's law while working in small groups at their lab benches. They collect displacement data for springs with unknown spring constants, k, by adding various masses of known weight. After exploring Hooke's law and answering a series of application questions, students apply their new understanding to explore a tissue of known surface area. Students then use the necessary relationships to depict a cancerous tumor amidst normal tissue by creating a graph in Microsoft Excel.

This sequence of instruction was developed in the Growing Elementary Science Prjoject to …

This sequence of instruction was developed in the Growing Elementary Science Prjoject to help elementary teachers who were working remotely. We developed a short storyline that ties together a few sessions to help explore a specific concept. We tried to include some activities that honored and included the student’s family and experience, and some that included the potential for ELA learning goals. In this Unit of Instruction, students observe animal behaviors - both in video format and in their own neighborhoods - then create a model to explain how these behaviors help the animals meet their needs. It is part of ClimeTime - a collaboration among all nine Educational Service Districts (ESDs) in Washington and many Community Partners to provide programs for science teacher training around Next Generation Science Standards (NGSS) and climate science, thanks to grant money made available to the Office of the Superintendent of Public Instruction (OSPI) by Governor Inslee.

This sequence of instruction was developed in the Growing Elementary Science Project to …

This sequence of instruction was developed in the Growing Elementary Science Project to help elementary teachers who were working remotely. We developed a short storyline that ties together a few sessions to help explore a specific concept. We tried to include some activities that honored and included the student’s family and experience, and some that included the potential for ELA learning goals. In this Unit of Instruction, students observe and act out animal behaviors, then observe animal behaviors for animals in their lives. They use these observations to determine what some animals' needs may be. It is part of ClimeTime - a collaboration among all nine Educational Service Districts (ESDs) in Washington and many Community Partners to provide programs for science teacher training around Next Generation Science Standards (NGSS) and climate science, thanks to grant money made available to the Office of the Superintendent of Public Instruction (OSPI) by Governor Inslee.

This graduate course will introduce students to the processes controlling phytoplankton, zooplankton, …

This graduate course will introduce students to the processes controlling phytoplankton, zooplankton, heterotrophic bacterial and benthic infaunal growth and abundance. We'll do a broad-scale survey of patterns of productivity and abundance in the coastal zones, upwelling centers, gyres, and the deep sea. We'll briefly survey ecosystem simulation models, especially those applicable to the Gulf of Maine. Readings will be from the primary literature and a few book chapters. The effects of anthropogenic effects on marine communities will be stressed throughout. Calculus will be used throughout the course, but there is no formal calculus requirement.

This sequence of instruction was developed to help elementary teachers who were …

This sequence of instruction was developed to help elementary teachers who were working remotely. We developed a short storyline that ties together a few sessions to help explore a specific concept. We tried to include some activities that honored and included the student’s family and experience, and some that included the potential for ELA learning goals.Students make observations of the behaviors while watching short videos of Bald Eagles and Hummingbirds. They then make observations of birds in their own neighborhood or school grounds. They use these observations to explore th knees of these organisms and behaviors used to meet these needs.It is part of Clime Time - a collaboration among all nine Educational Service Districts (ESDs) in Washington and many Community Partners to provide programs for science teacher training around Next Generation Science Standards (NGSS) and climate science, thanks to grant money made available to the Office of the Superintendent of Public Instruction (OSPI) by Governor Inslee.

How does the blackbody spectrum of the sun compare to visible light? …

How does the blackbody spectrum of the sun compare to visible light? Learn about the blackbody spectrum of the sun, a light bulb, an oven, and the earth. Adjust the temperature to see the wavelength and intensity of the spectrum change. View the color of the peak of the spectral curve.

Earth's climate system is enormously complex, and scientists develop climate models to …

Earth's climate system is enormously complex, and scientists develop climate models to understand how climate change will play out in different parts of the world. Students play a climate resilience game, and then explore the Intergovernmental Panel on Climate Change’s 5th Assessment Report to learn more about how climate scientists handle uncertainty in models. This guide is an extension of the TILclimate episode "TIL about uncertainty."

This interactive, scaffolded activity allows students to build an atom within the …

This interactive, scaffolded activity allows students to build an atom within the framework of a newer orbital model. It opens with an explanation of why the Bohr model is incorrect and provides an analogy for understanding orbitals that is simple enough for grades 8-9. As the activity progresses, students build atoms and ions by adding or removing protons, electrons, and neutrons. As changes are made, the model displays the atomic number, net charge, and isotope symbol. Try the "Add an Electron" page to build electrons around a boron nucleus and see how electrons align from lower-to-higher energy. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. The Concord Consortium develops deeply digital learning innovations for science, mathematics, and engineering. The models are all freely accessible. Users may register for additional free access to capture data and store student work products.

This interactive activity helps learners visualize the role of electrons in the …

This interactive activity helps learners visualize the role of electrons in the formation of ionic and covalent chemical bonds. Students explore different types of chemical bonds by first viewing a single hydrogen atom in an electric field model. Next, students use sliders to change the electronegativity between two atoms -- a model to help them understand why some atoms are attracted. Finally, students experiment in making their own models: non-polar covalent, polar covalent, and ionic bonds. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology.

This concept-building activity contains a set of sequenced simulations for investigating how …

This concept-building activity contains a set of sequenced simulations for investigating how atoms can be excited to give off radiation (photons). Students explore 3-dimensional models to learn about the nature of photons as "wave packets" of light, how photons are emitted, and the connection between an atom's electron configuration and how it absorbs light. Registered users are able to use free data capture tools to take snapshots, drag thumbnails, and submit responses. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology.

This online interactive module of 10 pages or frames integrates textual information, …

This online interactive module of 10 pages or frames integrates textual information, 3D molecular models, interactive molecular simulations, and embedded assessment items to guide students in understanding the copying of DNA base sequences from translation to transcription into proteins within each cell. The module divides the exercises in to Day 1 and Day 2 time frames. Teachers can view student assessment responses by assigning the module within a class created within the Molecular Workbench application. This Java-based module must be downloaded to each computer.

This activity requires students to process, interpret and integrate a wide variety …

This activity requires students to process, interpret and integrate a wide variety of remote sensing and other data as they investigate a complex, open-ended research question. It is hands-on, collaborative, and manageable for a variety of class sizes. The problem addressed has geological, hydrological, biological and political implications, and is thus of interest to a wide array of undergraduates.

In our daily lives we use hundreds or even thousands of products …

In our daily lives we use hundreds or even thousands of products and services. They are all designed, some with more success than others. The ‘Delft Design Approach’ is a structured approach that helps designers to tackle complex design challenges: from formulating a strategic vision, to mapping user behaviors, their needs and their environment, to developing and selecting meaningful proposals for products and services.

DDA691x offers a college-level introduction to the Delft Design Approach through lectures and exercises on design fundamentals and 6 methods. You will understand basic models and concepts that underlie the Delft approach. You will also develop the capability to use 6 basic methods in a design context. You will do so by applying the methods to realistic design challenges and by reflecting on your own performance by comparing it to that of expert designers as well as through peer discussion.

Student groups are provided with a generic car base on which to …

Student groups are provided with a generic car base on which to design a device/enclosure to protect an egg on or in the car as it rolls down a ramp at increasing slopes. During this in-depth physics/science/technology activity, student teams design, build and test their creations to meet the design challenge, and are expected to perform basic mathematical calculations using collected data, including a summative cost to benefit ratio.

Applied economists frequently use equilibrium displacement models (EDMs), also termed linear elasticity …

Applied economists frequently use equilibrium displacement models (EDMs), also termed linear elasticity models, for policy analyses because they can be used to estimate changes in prices and quantities that result from exogenous economic or policy shocks. These models are also widely used to estimate changes in producer and consumer surplus caused by exogenous economic shocks and to quantify the short- and long-term impacts of a variety of economic and regulatory actions across multiple markets. For the first time, a textbook that contains all of the theory and applications of EDMs along with a set of spreadsheet files is available in one place.

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