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• MCCRS.Math.Content.3.MD.C.6 - Measure areas by counting unit squares (square cm, square m, square in...
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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...

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/16/2013
Unrestricted Use
CC BY
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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: Find the area of each colored figure. Each grid square is 1 inch long....

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
05/27/2013
Educational Use
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Students are introduced to the classification of animals and animal interactions. Students also learn why engineers need to know about animals and how they use that knowledge to design technologies that help other animals and/or humans. This lesson is part of a series of six lessons in which students use their growing understanding of various environments and the engineering design process, to design and create their own model biodome ecosystems.

Subject:
Applied Science
Ecology
Engineering
Life Science
Material Type:
Activity/Lab
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Denise Carlson
Katherine Beggs
Malinda Schaefer Zarske
09/18/2014
Unrestricted Use
CC BY
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This simulation gives students the opportunity to explore both area and perimeter of 2-dimensional shapes. Students can explore by creating shapes and having the sim calculate the area and perimeter. They can also play a game where the goal is to create a shape with a specified area or area and perimeter, or to calculate the area and/or perimeter of a given shape.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Provider Set:
PhET Interactive Simulations
Author:
Amanda McGarry
Ariel Paul
Bryce Gruneich
John Blanco (developer)
Kathy Perkins
08/08/2022
Educational Use
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Students bury various pieces of trash in a plotted area of land outside. After two to three months, they uncover the trash to investigate what types of materials biodegrade in soil.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Roarke Horstmeyer
10/14/2015
Conditional Remix & Share Permitted
CC BY-SA
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This resource links to both Measurement & Data progression documents published by the Common Core Writing Teams in June 2011.

Material Type:
Assessment
Homework/Assignment
Teaching/Learning Strategy
05/09/2013
Educational Use
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In this video segment from Cyberchase, the CyberSquad measures Judge Trudy's land claim by using tarps, fence posts and a grid made with rope.

Subject:
Mathematics
Material Type:
Lecture
Provider:
PBS LearningMedia
Provider Set:
PBS Learning Media: Multimedia Resources for the Classroom and Professional Development
Author:
U.S. Department of Education
WNET
07/07/2008
Unrestricted Use
CC BY
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Subject:
Mathematics
Material Type:
Assessment
Homework/Assignment
Lesson Plan
04/25/2014
Conditional Remix & Share Permitted
CC BY-NC-SA
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In this 20-day module 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.  They come to understand that the space can be tiled with unit squares without gaps or overlaps.  They make predictions and explore which rectangles cover the most area when the side lengths differ.  Students progress from using square tile manipulatives to drawing their own area models and manipulate rectangular arrays to concretely demonstrate the arithmetic properties. The module culminates with students designing a simple floor plan that conforms to given area specifications.

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

Subject:
Mathematics
Measurement and Data
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
10/18/2013
Educational Use
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Students brainstorm and discuss the different types of materials used to build houses in various climates. They build small models of houses and test them in different climates.

Subject:
Applied Science
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
09/18/2014
Conditional Remix & Share Permitted
CC BY-NC-SA
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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 este módulo de 20 días, los estudiantes exploran el área como un atributo de figuras bidimensionales y lo relacionan con su comprensión previa de multiplicación. Los estudiantes conceptualizan el área como la cantidad de superficie bidimensional que está contenida dentro de una figura plana. Llegan a comprender que el espacio puede estar mortal con cuadrados unitarios sin huecos o superposiciones. Hacen predicciones y exploran qué rectángulos cubren la mayor cantidad de área cuando las longitudes laterales difieren. Los estudiantes progresan del uso de manipulaciones de baldosas cuadradas hasta dibujar sus propios modelos de área y manipular matrices rectangulares para demostrar concretamente las propiedades aritméticas. El módulo culmina con estudiantes que diseñan un plano de planta simple que se ajusta a las especificaciones de área dadas.

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

English Description:
In this 20-day module 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.  They come to understand that the space can be tiled with unit squares without gaps or overlaps.  They make predictions and explore which rectangles cover the most area when the side lengths differ.  Students progress from using square tile manipulatives to drawing their own area models and manipulate rectangular arrays to concretely demonstrate the arithmetic properties. The module culminates with students designing a simple floor plan that conforms to given area specifications.

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

Subject:
Mathematics
Measurement and Data
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
10/18/2013
Unrestricted Use
CC BY
Rating
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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.

Subject:
Mathematics
Material Type:
Teaching/Learning Strategy
Author:
Mark Freed
07/07/2023
Unrestricted Use
CC BY
Rating
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This interactive Flash animation allows students to explore size estimation in one, two and three dimensions. Multiple levels of difficulty allow for progressive skill improvement. In the simplest level, users estimate the number of small line segments that can fit into a larger line segment. Intermediate and advanced levels offer feature games that explore area of rectangles and circles, and volume of spheres and cubes. Related lesson plans and student guides are available for middle school and high school classroom instruction. Editor's Note: When the linear dimensions of an object change by some factor, its area and volume change disproportionately: area in proportion to the square of the factor and volume in proportion to its cube. This concept is the subject of entrenched misconception among many adults. This game-like simulation allows kids to use spatial reasoning, rather than formulas, to construct geometric sense of area and volume. This is part of a larger collection developed by the Physics Education Technology project (PhET).

Subject:
Applied Science
Education
Mathematics
Physical Science
Physics
Technology
Material Type:
Activity/Lab
Interactive
Provider:
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Mindy Gratny
01/22/2006
Unrestricted Use
CC BY
Rating
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This is a rectangle subdivision task; ideally instead of counting each square. students should break the letters into rectangles, multiply to find the areas, and add up the areas. However, students should not be discouraged from using individual counting to start if they are stuck. Often students will get tired of counting and devise the shortcut method themselves.

Subject:
Mathematics
Measurement and Data
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics