Students learn about one-axis rotations, and specifically how to rotate objects both physically and mentally to understand the concept. They practice drawing one-axis rotations through a group exercise using cube blocks to create shapes and then drawing those shapes from various x-, y- and z-axis rotation perspectives on triangle-dot paper (isometric paper). They learn the right-hand rule to explore rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

This instructional task gives students a hands-on experience with composing and decomposing geometric figures.

In this course students create digital visual images and analyze designs from historical and theoretical perspectives with an emphasis on art and design, examining visual experience in broad terms, and from the perspectives of both creators and viewers. The course addresses key topics such as: image making as a cognitive and perceptual practice, the production of visual significance and meaning, and the role of technology in creating and understanding digitally produced images. Students will be given design problems growing out of their reading and present solutions using technologies such as the Adobe Creative Suite and/or similar applications.

(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 5, los estudiantes consideran parte de las relaciones completas a través de una lente geométrica. El módulo se abre con estudiantes que identifican las partes definidas, o atributos, de formas dos y tridimensionales, basándose en sus experiencias de jardín de infantes de clasificación, análisis, comparación y creación de varias formas y objetos de dos y tridimensionales. Los estudiantes combinan formas para crear un nuevo todo: una forma compuesta. También relacionan las figuras geométricas con partes iguales y nombran las partes como mitades y cuartos. El módulo se cierra con estudiantes que aplican su comprensión de las mitades para decir tiempo a la hora y media hora.

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

English Description:
In Module 5, students consider part–whole relationships through a geometric lens. The module opens with students identifying the defining parts, or attributes, of two- and three-dimensional shapes, building on their kindergarten experiences of sorting, analyzing, comparing, and creating various two- and three-dimensional shapes and objects. Students combine shapes to create a new whole: a composite shape. They also relate geometric figures to equal parts and name the parts as halves and fourths. The module closes with students applying their understanding of halves to tell time to the hour and half hour.

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

(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.)

El módulo 2 explora formas bidimensionales y tridimensionales. Los estudiantes aprenden sobre formas planas y sólidas de forma independiente, así como cómo están relacionadas entre sí y con formas en su entorno. Los estudiantes comienzan a usar palabras de posición cuando se refieren y se mueven formas. Los estudiantes aprenden a usar sus palabras para distinguir entre ejemplos y no exámenes de formas planas y sólidas.

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

English Description:
Module 2 explores two-dimensional and three-dimensional shapes.  Students learn about flat and solid shapes independently as well as how they are related to each other and to shapes in their environment.  Students begin to use position words when referring to and moving shapes.  Students learn to use their words to distinguish between examples and non-examples of flat and solid shapes.

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

(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.)

El jardín de infantes llega a su fin con otra oportunidad para que los estudiantes exploren la geometría en el módulo 6. Durante todo el año, los estudiantes han creado una comprensión intuitiva de las figuras de dos y tridimensionales mediante el examen de ejemplos, variantes y no exámenes. Han utilizado la geometría como contexto para explorar números, así como comparar atributos y cantidades. Para concluir el año, los estudiantes desarrollan aún más sus habilidades de razonamiento espacial y comienzan a sentar las bases para comprender el área a través de la composición de figuras geométricas.

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

English Description:
Kindergarten comes to a close with another opportunity for students to explore geometry in Module 6. Throughout the year, students have built an intuitive understanding of two- and three-dimensional figures by examining exemplars, variants, and non-examples. They have used geometry as a context for exploring numerals as well as comparing attributes and quantities. To wrap up the year, students further develop their spatial reasoning skills and begin laying the groundwork for an understanding of area through composition of geometric figures.

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

(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, en el contexto del juego en el aula, los niños aprenden a identificar, describir, clasificar, comparar y crear formas y objetos bidimensionales (2-D) y tridimensionales (3-D). Los niños desarrollan vocabulario para describir la posición relativa de los objetos (por ejemplo, arriba, abajo, arriba, abajo, delante de, detrás, sobre, debajo y al lado), construyendo habilidades de razonamiento espacial fundamental. En el módulo 1, los estudiantes desarrollaron una comprensión de los números a 5. En el módulo 2, los estudiantes practican estas habilidades de contexto en el contexto de la geometría (contabilidad de lados, esquinas, un grupo de triángulos, etc.).

English Description:
In Module 2, in the context of classroom play, children learn to identify, describe, sort, compare, and create two-dimensional (2-D) and three-dimensional (3-D) shapes and objects. Children develop vocabulary to describe the relative position of objects (e.g., top, bottom, up, down, in front of, behind, over, under, and next to), building foundational spatial reasoning abilities. In Module 1, students developed an understanding of numbers to 5. In Module 2, students practice these counting skills in the context of geometry (counting sides, corners, a group of triangles, etc.).

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives. They use the right-hand rule to explore the rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills. At activity end, students re-take the 12-question quiz they took in the associated lesson (before conducting four associated activities) to measure how their spatial visualizations skills improved.

The lesson begins by introducing Olympics as the unit theme. The purpose of this lesson is to introduce students to the techniques of engineering problem solving. Specific techniques covered in the lesson include brainstorming and the engineering design process. The importance of thinking out of the box is also stressed to show that while some tasks seem impossible, they can be done. This introduction includes a discussion of the engineering required to build grand, often complex, Olympic event centers.

This lesson allows students to build fluency with shapes by identifying them in in the outdoor classroom.

This challenging problem and brainteaser gives students an opportunity to compose and decompose polygons to make rectangles.

Students will use their knowledge of parallel and perpendicular lines to compare those that are manmade and others found in nature

Students apply several methods developed to identify and interpret patterns to the identification of fingerprints. They look at their classmates' fingerprints, snowflakes, and "spectral fingerprints" of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities.

In this lesson the students will use their knowledge of measurement to determine perimeter and find missing lengths when given the total perimeter.

In this lesson the students will use their knowledge of measurement to determine perimeter. Since this is a virtual lesson for at home learning, steps will be included for students to make an 8 inch paper ruler out of notebook paper.

Students take a close look at truss structures, the geometric shapes that compose them, and the many variations seen in bridge designs in use every day. Through a guided worksheet, students draw assorted 2D and 3D polygon shapes and think through their forms and interior angles (mental “testing”) before and after load conditions are applied. They see how engineers add structural members to polygon shapes to support them under compression and tension, and how triangles provide the strongest elemental shape. A PowerPoint® presentation is provided. This lesson prepares students for two associated activities that continue the series on polygons and trusses.

In Module 2, in the context of classroom play, children learn to identify, describe, sort, compare, and create two-dimensional (2-D) and three-dimensional (3-D) shapes and objects. Children develop vocabulary to describe the relative position of objects (e.g., top, bottom, up, down, in front of, behind, over, under, and next to), building foundational spatial reasoning abilities. In Module 1, students developed an understanding of numbers to 5. In Module 2, students practice these counting skills in the context of geometry (counting sides, corners, a group of triangles, etc.).

This task presents students with some creative geometric ways to represent the fraction one half. The goal is both to appeal to students' visual intuition while also providing a hands on activity to decide whether or not two areas are equal.

This lesson unit is intended to help teachers assess how well students are able to: recognize and visualize transformations of 2D shapes; and translate, reflect and rotate shapes, and combine these transformations. It also aims to encourage discussion on some common misconceptions about transformations.