This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: What time was it 2011 minutes after the beginning of January 1, 2011?...

Let's learn to divide any whole number by any other! Common Core Standard: 5.NBT.B.6

Students create their own anemometers instruments for measuring wind speed. They see how an anemometer measures wind speed by taking measurements at various school locations. They also learn about different types of anemometers, real-world applications, and how wind speed information helps engineers decide where to place wind turbines.

Students learn about nanocomposites, compression and strain as they design and program robots that compress materials. Student groups conduct experiments to determine how many LEGO MINDSTORMS(TM) NXT motor rotations it takes to compress soft nanocomposites, including mini marshmallows, Play-Doh®, bread and foam. They measure the length and width of their nanocomposite objects before and after compression to determine the change in length and width as a function of motor rotation.

Students drop water from different heights to demonstrate the conversion of water's potential energy to kinetic energy. They see how varying the height from which water is dropped affects the splash size. They follow good experiment protocol, take measurements, calculate averages and graph results. In seeing how falling water can be used to do work, they also learn how this energy transformation figures into the engineering design and construction of hydroelectric power plants, dams and reservoirs.

In Module 2 students apply patterns of the base ten system  to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm.  Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms.  A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method.  In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses.  Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups.  An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Students engage in the second design challenge of the unit, which is an extension of the maze challenge they solved in the first lesson/activity of this unit. Students extend the ideas learned in the maze challenge with a focus more on the robot design. Gears are a very important part of any machine, particularly when it has a power source such as engine or motor. Specifically, students learn how to design the gear train from the LEGO MINDSTORMS(TM) NXT servomotor to the wheel to make the LEGO taskbot go faster or slower. A PowerPoint® presentation, pre/post quizzes and a worksheet are provided.

Students will brainstorm ways that they use and waste natural resources. Also, they will respond to some facts about population growth and how people use petroleum. Lastly, students will consider the different ways that engineers interact with and use our natural resources.

With this video series, teach teens and pre-teens how to manage their money and foster an entrepreneurial spirit. Visit PBS Learning Media site to download a handout, discussion questions, and view alignment to additional Washington learning standards.
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(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 2, los estudiantes aplican patrones del sistema Base Ten a las estrategias mentales y un estudio secuencial de multiplicación a través de diagramas de área y la propiedad distributiva que conduce a la fluidez con el algoritmo estándar. Los estudiantes se mueven de números enteros a multiplicación con decimales, nuevamente utilizando el valor del lugar como guía para la razón y hacer estimaciones sobre los productos. La multiplicación se explora como un método para expresar medidas equivalentes tanto en el número entero como en las formas decimales. Una secuencia similar para la división comienza concretamente con discos numéricos como una introducción a la división con divisores de múltiples dígitos y lleva al estudiante a dividir los dividendos de número entero y decimales de múltiples dígitos por divisores de dos dígitos utilizando un método escrito vertical. Además, los estudiantes evalúan y escriben expresiones, registrando sus cálculos utilizando la propiedad asociativa y los paréntesis. Los estudiantes aplican el trabajo del módulo para resolver problemas de palabras de varios pasos utilizando multiplicación y división de múltiples dígitos con incógnitas que representan el tamaño del grupo o el número de grupos. El énfasis en la razonabilidad de los productos y los cocientes, la interpretación de los restos y el razonamiento sobre la colocación de decimales se basa en las habilidades aprendidas en todo el módulo, incluido el conocimiento del valor del lugar, el redondeo y la estimación.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In Module 2 students apply patterns of the base ten system  to mental strategies and a sequential study of multiplication via area diagrams and the distributive property leading to fluency with the standard algorithm.  Students move from whole numbers to multiplication with decimals, again using place value as a guide to reason and make estimations about products. Multiplication is explored as a method for expressing equivalent measures in both whole number and decimal forms.  A similar sequence for division begins concretely with number disks as an introduction to division with multi-digit divisors and leads student to divide multi-digit whole number and decimal dividends by two-digit divisors using a vertical written method.  In addition, students evaluate and write expressions, recording their calculations using the associative property and parentheses.  Students apply the work of the module to solve multi-step word problems using multi-digit multiplication and division with unknowns representing either the group size or number of groups.  An emphasis on the reasonableness of both products and quotients, interpretation of remainders and reasoning about the placement of decimals draws on skills learned throughout the module, including refining knowledge of place value, rounding, and estimation.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

The intent of clarifying statements is to provide additional guidance for educators to communicate the intent of the standard to support the future development of curricular resources and assessments aligned to the 2021 math standards.  Clarifying statements can be in the form of succinct sentences or paragraphs that attend to one of four types of clarifications: (1) Student Experiences; (2) Examples; (3) Boundaries; and (4) Connection to Math Practices.

Students conduct an experiment to determine the relationship between the speed of a wooden toy car at the bottom of an incline and the height at which it is released. They observe how the photogate-based speedometer instrument "clocks" the average speed of an object (the train). They gather data and create graphs plotting the measured speed against start height. After the experiment, as an optional extension activity, students design brakes to moderate the speed of the cart at the bottom of the hill to within a specified speed range.

Students learn the history of the waterwheel and common uses for water turbines today. They explore kinetic energy by creating their own experimental waterwheel from a two-liter plastic bottle. They investigate the transformations of energy involved in turning the blades of a hydro-turbine into work, and experiment with how weight affects the rotational rate of the waterwheel. Students also discuss and explore the characteristics of hydroelectric plants.

In this open-ended design activity, students use everyday materials milk cartons, water bottles, pencils, straws, candy to build small-scale transportation devices. They incorporate the use two simple machines a wheel and axle, and a lever into their designs. Student pairs choose their materials and engineer solutions suitable to convey pyramid-building materials (small blocks of clay). They race their carts/trucks, measuring distance, time and weight; and then calculate speed.

In this activity, students develop an understanding of how engineers use wind to generate electricity. They will build a model anemometer to better understand and measure wind speed.