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: A small square is a square unit. What is the area of this rectangle? Explain. What fraction of the area of each rectangle is shaded blue? Name the frac...

Students explore area as an attribute of two-dimensional figures and relate it to their prior understandings of multiplication. Students conceptualize area as the amount of two-dimensional surface that is contained within a plane figure.

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.

In this 35-day Grade 3 module, students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.

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

This video teaches vertical, horizontal, and oblique lines of symmetry. The final section of the presentation allows students to practice identifying vertical and horizontal lines of symmetry independently.

(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 este módulo de 35 días de grado 3, los estudiantes extienden y profundizan la práctica de segundo grado con "acciones iguales" para comprender las fracciones como particiones iguales de un todo. Su conocimiento se vuelve más formal a medida que trabajan con los modelos de área y la línea numérica.

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

English Description:
In this 35-day Grade 3 module, students extend and deepen second grade practice with "equal shares" to understanding fractions as equal partitions of a whole. Their knowledge becomes more formal as they work with area models and the number line.

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

This math meets ecology lesson provides hands-on experiences with mixing oil and water, provides surface area information about the 2010 oil spill in the Gulf of Mexico, and gives learners opportunities to estimate small oil spills of their own making. This lesson guide includes questions for learners, assessment options, extensions, and reflection questions.

In this unit, students investigate fractional parts of the whole and use translations, reflections, rotations, and line symmetry to make four-part quilt squares. Students have a practical context for using the mathematical terms associated with divisions of the square, transformations, and symmetries. Suggestions for implementation and extensions are included.

This lesson was used before the Illustrative Math lesson, 3.MD Finding the Area of Polygons, https://www.illustrativemathematics.org/content-standards/tasks/1515. This lesson was used with a 4th grade tier 2 math intervention group to demonstrate that different shapes can have the same area.

Task: Fold and cut six notecards along one of their diagonals. Arrange the triangles into six different shapes. Each shape must be composed of two parts. Only sides of same lengths can be matched up and must be matched exactly. Decide which shape has the greatest area and which shape has the least area. Students will build an understanding of conservation of area and partitioning shapes with equal areas. After the students were secure in their understanding we completed the lesson from Illustrative Mathematics.

Big Ideas: A fraction describes the division of wholes into equal shares. Equal shares have the same area or amount, but do not have to be the same shape.
This lesson builds on students' work with partitioning circles and rectangles into two, three, and four equal shares. This task uses a scenario in which students share a birthday cake. Students will be presented with kids who each want to share their cake differently and asked to justify which kids are sharing equally. Students will be building their foundational knowledge of fractions by representing, labeling, and justifying equal shares. The mathematical concepts in this lesson build toward students' future work with naming fractions, comparing fractions, and equivalent fractions.
Vocabulary: fraction, equal shares, halves, thirds, fourths, sixths, eighths

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.