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Shapes in the Real World

[vc_row][vc_column width=”1/1″][vc_button2 title=”Exit to Defined STEM” style=”rounded” color=”blue” size=”sm” link=”|title:Defined%20STEM|target:%20_blank”][vc_separator color=”grey”][vc_tabs interval=”0″][vc_tab title=”Overview” tab_id=”1404930227-1-609c46-c4d4″][vc_column_text]It is not hard to see shape in the world- all one has to do is look at their surroundings to discover that the world around us is composed of shapes. From architecture to art, from letters to numbers, the shape of an object is the often the identifier by which people recognize the world around them. Logos such as CBS, Microsoft, and Batman are recognized as much for their shape as for their design. Structures around the world such as the Great Pyramids and the Eiffel Tower are recognized for their shape.

The National Council of Teachers of Mathematics discusses the importance of shape to geometry and spatial sense in their publication Curriculum and Evaluation Standards for School Mathematics (1989).

“Spatial understandings are necessary for interpreting, understanding, and appreciating our inherently geometric world. Insights and intuitions about two- and three-dimensional shapes and their characteristics, the interrelationships of shapes, and the effects of changes to shapes are important aspects of spatial sense” (Annenberg Learner, 2014). In K-12 education, students are given multiple experiences through the geometry standards to interact with shape. In the lower grades students explore the attributes of shape and learn how to classify the shapes in the world around them. In the upper grades students transition to the study of shapes in three dimensions and the application of shape in other domains of mathematics. The Common Core State Standards for Mathematics highlights this connection between geometry and other domains in the upper levels. “Geometric shapes can be described by equations, making algebraic manipulations into a tool for geometric understanding, modeling, and proof” (2014). Through the application of the Standards for Mathematical Practice, students will have opportunities to apply ideas of shape and spatial understanding as they model with mathematics and look for and make use of structure in the world around them.

The following Defined STEM performance tasks provide experiences that allow students to focus on the importance of shape in their environments and how the understanding and manipulation of shape is an integral part of many real world careers.[/vc_column_text][/vc_tab][vc_tab title=”References” tab_id=”1404930227-2-669c46-c4d4″][vc_column_text]

[/vc_column_text][/vc_tab][/vc_tabs][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_text_separator title=”Elementary School” title_align=”separator_align_center” color=”blue”][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_accordion title=”Performance Tasks” collapsible=”yes” active_tab=”false”][vc_accordion_tab title=”Shapes in the Neighborhood”][vc_column_text]The buildings in your neighborhood are made up of shapes. Shapes have different lines and parts that are called characteristics. The characteristics or attributes that a shape has help name the shape. As the building inspector, you are to find the different kinds of shapes in the buildings around you.[/vc_column_text][vc_button2 title=”Enter Task” color=”sky” size=”sm” link=”|title:Shapes%20in%20the%20Neighborhood|target:%20_blank” style=”rounded”][/vc_accordion_tab][vc_accordion_tab title=”Egyptian Museum”][vc_column_text]Your local library is an important place in your community. Many important events take place there throughout the year. This summer members of the community are turning the children’s library into a mini museum. Your team has been asked to create an exhibit showcasing the country of Egypt and its many unique features.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Egyptian%20Museum|target:%20_blank” style=”rounded”][/vc_accordion_tab][vc_accordion_tab title=”Shapes in the Park Design”][vc_column_text]Your neighborhood was recently awarded a grant and has decided to use the money to create a small neighborhood park where people can gather to socialize and children can play. They have decided to have a design contest and the winning design is the one they will use to build the park. You must use your knowledge of shapes, your design skills, and your math skills to create a blueprint to enter the design contest.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Shapes%20in%20the%20Park%20Design|target:%20_blank” style=”rounded”][/vc_accordion_tab][/vc_accordion][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_text_separator title=”Middle School” title_align=”separator_align_center” color=”blue”][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_accordion title=”Performance Tasks” active_tab=”false” collapsible=”yes”][vc_accordion_tab title=”Artificial Island Real Estate”][vc_column_text]A middle eastern country is very interested in creating its own artificial palm island to increase real estate near the water and to enhance its tourism industry.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Artificial%20Island%20Real%20Estate|target:%20_blank” style=”rounded”][/vc_accordion_tab][vc_accordion_tab title=”Rain Barrel Manufacturer”][vc_column_text]Rainwater harvesting refers to the collection and storage of rain. This water can be stored and used to water plants and flowers. It can be used to water lawns and wash cars. This rainwater would typically be washed away into a sewer. By collecting this water, it can help conserve water and lower household water bills. This type of harvesting can help reduce storm water runoff pollution. Many people are also looking at using this rainwater as a potable water source. These ideas are important for you to consider as you design your rain barrel. Your barrel does not need to meet every want, but it should be convenient, and provide water that is safe for a number of uses.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Rain%20Barrel%20Manufacturer|target:%20_blank” style=”rounded”][/vc_accordion_tab][vc_accordion_tab title=”Aquarium Designer”][vc_column_text]As a new designer with a background in aquatic habitats, you will need to win over the design and production team of the hottest new interior design firm in the northeast United States. They want to hire someone who will add creativity and innovation to their production and design team. You have to present a plan for the creation of an innovative aquarium that can be housed in a residential or commercial facility. Describing the cost effectiveness of your product, along with providing the team with a prototype, will be part of the final presentation. The embedded simulation will help you create a number of aquariums that contain the necessary volume requested by the consumers. As you determine the aquarium parameters, cost considerations should be made.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Aquarium%20Designer|target:%20_blank” style=”rounded”][/vc_accordion_tab][/vc_accordion][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_text_separator title=”High School” title_align=”separator_align_center” color=”blue”][/vc_column][/vc_row][vc_row][vc_column width=”1/1″][vc_accordion title=”Performance Tasks” active_tab=”false” collapsible=”yes”][vc_accordion_tab title=”Architect: Using Design Principles”][vc_column_text]The architectural firm’s Chief Executive Officer has decided that the new library should be based upon either Ancient Roman or Greek architecture. You and the other members of your architectural design team will need to select which way you want to go with the design.

The county library system is seeking proposals for the design of a new library. The library system is seeking designs that are based upon popular designs from the past. The winning design will be selected based upon its connection to past history – highlighting literary works that are connected with this design era. The new design should also be modern in functionality and ADA (Americans with Disabilities) compliant.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Architect%3A%20Using%20Design%20Principles|target:%20_blank” style=”rounded”][/vc_accordion_tab][vc_accordion_tab title=”Landscape Architect”][vc_column_text]As a landscape architect, you will work to create and design a landscape plan/blueprint for the grounds of your school. You will research the need for this change and the cost involved. Part of your research will include developing a survey to collect information about what students in your school would like included in the landscaping. You will create a design that includes walkways, shrubs, flowers, benches, etc., taking into account the necessary mathematical and engineering concepts that will make your design cost-effective, while increasing the visual appeal of the school grounds. You will develop a model that will be used in your presentation to the audience in hopes of securing the job. Analyzing the cost of your design will be necessary in order to obtain support from the school board.[/vc_column_text][vc_button2 title=”Enter Task” color=”blue” size=”sm” link=”|title:Landscape%20Architect|target:%20_blank” style=”rounded”][/vc_accordion_tab][/vc_accordion][/vc_column][/vc_row]

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