The Geoboard is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
This virtual version of the manipulative is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads.

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.

This resource First Grade Math Talks and was inspired by learning within The Power of Early Mathematics, 2024, a WISELearn Innovation Grant funded WI Department of Public Instruction learning series. powerofearlymath 

(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.

Lesson objective: Understand that shapes can be partitioned into two equal shares that we call halves, and that those two shares together equal one whole.
Students bring prior knowledge of modeling and composing shapes from Grade K, Unit 15, K.G.B.5. This prior knowledge is extended to introduce part-whole relationships of shapes as students partition shapes to demonstrate equal shares that we call halves. A conceptual challenge students may encounter is partitioning shapes unequally because they think that any two parts equal halves.
The concept is developed through work with basic shapes, like rectangles, which support an introduction into thinking about fractional parts of a whole (something students will need to know in future grades).
This work helps students deepen their understanding of equivalence because when a whole is partitioned into halves, the halves must be equal parts of the whole. Additional evidence of equivalence in these key concepts is that 2 halves equal 1 whole.
Students engage in Mathematical Practice 3 (construct viable arguments and critique the reasoning of others) as they help a student partition her rectangular room into equal shares.
Key vocabulary:
equal shares
Special materials needed:
pattern blocksshape cut-outs

How many orange wedges are in the bowl? Through the use of photographs and videos, students are challenged to determine exactly how many orange slices are in the bowl.