(Nota: Esta es una traducción de un recurso educativo abierto creado por …
(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 primer tema de este módulo de 15 días, los estudiantes aprenden el concepto de una función y por qué las funciones son necesarias para describir conceptos geométricos y ocurrencias en la vida cotidiana. Una vez que se proporciona una definición formal de una función, los estudiantes consideran funciones de tarifas discretas y continuas y comprenden la diferencia entre los dos. Los estudiantes aplican su conocimiento de las ecuaciones lineales y sus gráficos del módulo 4 a los gráficos de funciones lineales. Los estudiantes inspeccionan la tasa de cambio de funciones lineales y concluyen que la tasa de cambio es la pendiente de la gráfica de una línea. Aprenden a interpretar la ecuación y = mx+b como definir una función lineal cuyo gráfico es una línea. Los estudiantes comparan funciones lineales y sus gráficos y también obtienen experiencia con funciones no lineales. En el segundo y último tema de este módulo, los estudiantes extienden lo que aprendieron en el grado 7 sobre cómo resolver los problemas del mundo real y las matemáticas relacionadas con el volumen de sólidos simples para incluir problemas que requieren las fórmulas para conos, cilindros y esferas.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description: In the first topic of this 15 day module, students learn the concept of a function and why functions are necessary for describing geometric concepts and occurrences in everyday life. Once a formal definition of a function is provided, students then consider functions of discrete and continuous rates and understand the difference between the two. Students apply their knowledge of linear equations and their graphs from Module 4 to graphs of linear functions. Students inspect the rate of change of linear functions and conclude that the rate of change is the slope of the graph of a line. They learn to interpret the equation y=mx+b as defining a linear function whose graph is a line. Students compare linear functions and their graphs and gain experience with non-linear functions as well. In the second and final topic of this module, students extend what they learned in Grade 7 about how to solve real-world and mathematical problems related to volume from simple solids to include problems that require the formulas for cones, cylinders, and spheres.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
Given an assortment of unknown metals to identify, student pairs consider what …
Given an assortment of unknown metals to identify, student pairs consider what unique intrinsic (aka intensive) metal properties (such as density, viscosity, boiling or melting point) could be tested. For the provided activity materials (copper, aluminum, zinc, iron or brass), density is the only property that can be measured so groups experimentally determine the density of the "mystery" metal objects. They devise an experimental procedure to measure mass and volume in order to calculate density. They calculate average density of all the pieces (also via the graphing method if computer tools area available). Then students analyze their own data compared to class data and perform error analysis. Through this inquiry-based activity, students design their own experiments, thus experiencing scientific investigation and experimentation first hand. A provided PowerPoint(TM) file and information sheet helps to introduce the five metals, including information on their history, properties and uses.
Students find the volume and surface area of a rectangular box (e.g., …
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things.
The following resource contains the assets (or resources) to accompany the Sask …
The following resource contains the assets (or resources) to accompany the Sask DLC Mathematics 8 course. Please note that this is not the content of the course, but the assets used to support and deliver it. The files are organized in a zip folder and a collection.
Students investigate the property dependence between liquid and solid interfaces and determine …
Students investigate the property dependence between liquid and solid interfaces and determine observable differences in how liquids react to different solid surfaces. They compare copper pennies and plastic "coins" as the two test surfaces. Using an eye dropper to deliver various fluids onto the surfaces, students determine the volume and mass of a liquid that can sit on the surface. They use rulers, scales, equations of volume and area, and other methods of approximation and observation, to make their own graphical interpretations of trends. They apply what they learned to design two super-surfaces (from provided surface treatment materials) that arecapable of holding the most liquid by volume and by mass. Cost of materials is a parameter in their design decisions.
From drinking fountains at playgrounds, water systems in homes, and working bathrooms …
From drinking fountains at playgrounds, water systems in homes, and working bathrooms at schools to hydraulic bridges and levee systems, fluid mechanics are an essential part of daily life. Fluid mechanics, the study of how forces are applied to fluids, is outlined in this unit as a sequence of two lessons and three corresponding activities. The first lesson provides a basic introduction to Pascal's law, Archimedes' principle and Bernoulli's principle and presents fundamental definitions, equations and problems to solve with students, as well as engineering applications. The second lesson provides a basic introduction to above-ground storage tanks, their pervasive use in the Houston Ship Channel, and different types of storage tank failure in major storms and hurricanes. The unit concludes with students applying what they have learned to determine the stability of individual above-ground storage tanks given specific storm conditions so they can analyze their stability in changing storm conditions, followed by a project to design their own storage tanks to address the issues of uplift, displacement and buckling in storm conditions.
To further their understanding of sound energy, students identify the different pitches …
To further their understanding of sound energy, students identify the different pitches and frequencies created by a vibrating ruler and a straw kazoo. They create high- and low-pitch sound waves.
Working in teams, students learn the basics of fluid power design using …
Working in teams, students learn the basics of fluid power design using the PFPD as their investigative platform. They investigate the similarities and differences between using pneumatic and hydraulic power in the PFPD. With the main components of the PFPD already assembled, student groups determine the correct way to connect the valves to the actuators using colored, plastic tubing. Once connected, they compete in timed challenges to test their abilities to separate material out of containers using the PFPDs. NOTE: No special pre-requisite knowledge is required for students to be successful in this activity.
Students are presented with a challenge question that they must answer with …
Students are presented with a challenge question that they must answer with scientific and mathematical reasoning. The challenge question is: "You have a large rock on a boat that is floating in a pond. You throw the rock overboard and it sinks to the bottom of the pond. Does the water level in the pond rise, drop or remain the same?" Students observe Archimedes' principle in action in this model recreation of the challenge question when a toy boat is placed in a container of water and a rock is placed on the floating boat. Students use terminology learned in the classroom as well as critical thinking skills to derive equations needed to answer this question.
Students build scale models of objects of their choice. In class they …
Students build scale models of objects of their choice. In class they measure the original object and pick a scale, deciding either to scale it up or scale it down. Then they create the models at home. Students give two presentations along the way, one after their calculations are done, and another after the models are completed. They learn how engineers use scale models in their designs of structures, products and systems. Two student worksheets as well as rubrics for project and presentation expectations and grading are provided.
The main areas of focus in the second grade math curriculum are: …
The main areas of focus in the second grade math curriculum are: understanding the base-ten system within 1,000, including place value and skip-counting in fives, tens, and hundreds; developing fluency with addition and subtraction, including solving word problems; regrouping in addition and subtraction; describing and analyzing shapes; using and understanding standard units of measure; working with money and time; and introducing multiplication.
The worksheets and printables for second grade math available on this page will enhance any classroom's math curriculum. These engaging second grade math worksheets cover the basics of counting and ordering as well as addition and subtraction, and include exciting introductions to geometry and algebra for future self-assurance in math.
Students examine the existence of sound by listening to and seeing sound …
Students examine the existence of sound by listening to and seeing sound waves while conducting a set of simple activities as a class or in pairs at stations. Students describe sound in terms of its pitch, volume and frequency. They use this knowledge to discuss how engineers study sound waves to help people who cannot hear or talk.
Students should think of different ways the cylindrical containers can be set …
Students should think of different ways the cylindrical containers can be set up in a rectangular box. Through the process, students should realize that although some setups may seem different, they result is a box with the same volume. In addition, students should come to the realization (through discussion and/or questioning) that the thickness of a cardboard box is very thin and will have a negligible effect on the calculations.
Students review what they know about the 20 major bones in the …
Students review what they know about the 20 major bones in the human body (names, shapes, functions, locations, as learned in the associated lesson) and the concept of density (mass per unit of volume). Then student pairs calculate the densities for different bones from a disarticulated human skeleton model of fabricated bones, making measurements via triple-beam balance (for mass) and water displacement (for volume). All groups share their results with the class in order to collectively determine the densities for every major bone in the body. This activity prepares students for the next activity, "Can It Support You? No Bones about It," during which they act as biomedical engineers and design artificial bones, which requires them to find materials of suitable density to perform as human body implants.
This simulation lets you see sound waves. Adjust the frequency or volume …
This simulation lets you see sound waves. Adjust the frequency or volume and you can see and hear how the wave changes. Move the listener around and hear what she hears.
Students analyze and begin to design a pyramid. Working in engineering teams, …
Students analyze and begin to design a pyramid. Working in engineering teams, they perform calculations to determine the area of the pyramid base, stone block volumes, and the number of blocks required for their pyramid base. They make a scaled drawing of the pyramid using graph paper.
These supplemental learning packages were designed to help address gaps in prerequisite …
These supplemental learning packages were designed to help address gaps in prerequisite knowledge resulting from school closures due to the 2020 pandemic. There are two different types of package. The Videos and Notes package includes the notes that we provide for each lesson. For each lesson, there is a QR code and link to the video playlist with lessons and examples. The Videos and Questions package allows for minimal printing. Each page in the package covers a single topic, and features a QR code and link to the video playlist. A selection of practice questions are included on the page. An answer key is included at the end of the package. You may wish to use both packages, as the only duplication is in the link and QR code.
Student will choose a three-dimensional object that is of interest to them …
Student will choose a three-dimensional object that is of interest to them and calculate its surface area and volume, in both the metric and imperial systems of measurement. Students will then create a scale model of the object.
Students explore how sound waves move through liquids, solids and gases in …
Students explore how sound waves move through liquids, solids and gases in a series of simple sound energy experiments. Understanding the properties of sound and how sound waves travel helps engineers determine the best room shape and construction materials when designing sound recording studios, classrooms, libraries, concert halls and theatres.
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