An excellent description of Mathematical modeling comes from inside mathematics
Listed Below are some excellent mathematical activities that require students to use modeling in geometry to find solutions to real world problems.
Kite Manufacturing Modeling quadrilaterals activity/lesson
In the video and lesson Cathy Humphreys' explains to students a scenario and allows students to take on the role of kite manufacturers. Students have to put into practice their knowledge about quadrilaterals to model their discoveries. Students get to be the investigators to help make the best designed kites. The activity discusses properties of quadrilaterals and the site features videos for each portion of the lesson. Students get the opportunity to apply their knowledge about quadrilaterals in a real world context.

Pythagorean Theorem on a television screen.
This activity could be adapted to bring a lot of fun to the Pythagorean theorem and to help students work on their modeling to find screen sizes, area, and perimeter. The activity has a lot of area for expansion and could be made much more complex. Instead of the typical a^2+b^2=c^2 memorization this activity allows students to develop relational understanding through measurement of screens to see the practical proof of the Pythagorean theorem. Students can draw the screens on their own paper or a teacher could challenge students to construct their own problem about an iPad screen or some other screen. Rectangles are everywhere, which makes this activity doable almost anywhere.

Modeling Games and Tools for Student Growth

Math Playground Geoboard
The geometry board is a great place to have students practice modeling geometric problems. A teacher could state a story and have students model the problem on the geoboard using the rubber bands. This is kind of an old school tool, but I remember having lots of fun with it when I was a kid and it would be a good way to mix things up to get students thinking about how they would shape the bands to display a scenario. Additionally students could create their own scenarios and ask their classmates to answer questions about them. The board is simplistic, but can provide excellent exploration and representation of relational understanding.

Wrapping Paper Problem
This activity gives students the opportunity to be sustainable, and help out their family at home. Students use models that they create using surface area and the pythagorean theorem to find ways to minimize the amount of wrapping pMiaper they will use to wrap various boxes. The activity could be expanded to use more complex shapes, but rectangular prisms seems like a good place to start. A teacher could bring in wrapping paper and have students create models then, test them by carrying out the wrapping of a box.

Minecaft, yes mine craft can be used to have students work on their modeling skills. When students plan before creating a really cool structure in minecraft they need to activate their geometric modeling skills. Students can be challenged under certain constraints to create various types of objects to develop their ability to apply geometric methods to solve design problems. The downside is that the game costs $27, so it probably would not be appropriate for an entire class, but maybe a great way to challenge students that are not being challenged by the content at their grade level.

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The construction of this blimp involves much geometry, persevering in problem solving and precision. It may be ambitious, but maybe even minecraft could be utilized in the classroom? Think about it...
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