Assign this lesson as a student resource. Have students read and watch the video.

This section prepares students to engage the lesson. Throughout the teaching of this entire lesson, the facilitator provides an opportunity for students to collaborate with each other and provide feedback on their individual or group project.

Imagine section is a critical phase where students are encouraged to conceptualize, and visualize their ideas before diving into the building and prototyping stage in Build section. Pause to have a short group reflection.

Common Core Mathematics

For CCSS.MATH.CONTENT.7.G.B.6 discuss the featured platonic soild. Challenge your students to solve problems related to its area, volume, and surface area. But don't stop there; also explore problems involving other shapes like triangles, quadrilaterals, polygons, cubes, and right prisms. As you explore the tetrahedron, encourage your students to think about how these concepts apply to various shapes and real-world scenarios.

Platonic Solids List (bold is the featured shape in this lesson):

• Tetrahedron: A tetrahedron is a three-dimensional geometric shape with four faces, and each face is an equilateral triangle. It has four vertices and six edges.
• Hexahedron (Cube): The hexahedron, often referred to as a cube, is characterized by having six square faces. It has eight vertices and twelve edges.
• Octahedron: An octahedron is a polyhedron with eight faces, and each face is an equilateral triangle. It has six vertices and twelve edges.
• Dodecahedron: The dodecahedron has twelve regular pentagonal faces. It features twenty vertices and thirty edges.
• Icosahedron: An icosahedron is a three-dimensional shape composed of twenty equilateral triangle faces. It has twelve vertices and thirty edges.

Florida - NGSSS

For MA.7.GR.1.2 - MATHEMATICS (B.E.S.T.), MA.7.GR.2.2 - MATHEMATICS (B.E.S.T.), and MA.7.GR.2.3 - MATHEMATICS (B.E.S.T.) start by discussing the featured platonic soild and how it relates to concepts like surface area and volume. Then, extend this understanding to solve real-world problems involving other shapes, such as right circular cylinders. Here are real-world examples for each:

• Painting a Room to calculate the amount of paint needed to cover the walls of a room.
• Packaging cylindrical objects like cans or containers need to be packaged efficiently.
• Volume of cylindrical tanks in understanding the volume of manufacturing tanks.

Platonic Solids List (bold is the featured shape in this lesson):

• Tetrahedron: A tetrahedron is a three-dimensional geometric shape with four faces, and each face is an equilateral triangle. It has four vertices and six edges.
• Hexahedron (Cube): The hexahedron, often referred to as a cube, is characterized by having six square faces. It has eight vertices and twelve edges.
• Octahedron: An octahedron is a polyhedron with eight faces, and each face is an equilateral triangle. It has six vertices and twelve edges.
• Dodecahedron: The dodecahedron has twelve regular pentagonal faces. It features twenty vertices and thirty edges.
• Icosahedron: An icosahedron is a three-dimensional shape composed of twenty equilateral triangle faces. It has twelve vertices and thirty edges.

Watch the video to get an idea of the project's structure and a demonstration of how it works. Some may figure out how to construct the project just from pausing the video or looking at a few images from the steps. The instructions are helpful for new builders or those seeking general guidance.

NGSS

For MS-ETS1-1 - ENGINEERING DESIGN present the problem to the students: design an invention to improve the natural habitiat for the animal made in Build can efficiently thrive in. Discuss the criteria (e.g., efficiency, cost-effectiveness, environmental impact) and constraints (e.g., available materials, budget) for their designs. Discuss relevant scientific principles with the students. And for MS-ETS1-2 - ENGINEERING DESIGN guide students in evaluating their prototype's performance against the defined criteria and constraints. Students should also consider potential impacts on the environment and people. Based on the evaluation, ask students to refine and improve their designs. This iterative process allows them to make modifications to their water wheels to increase efficiency or address any shortcomings.

CCSS.Math.Content.7.G.B.6

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

1.6.c Creative Communicator

Students communicate complex ideas clearly and effectively by creating or using a variety of digital objects such as visualizations, models or simulations.

MA.7.GR.1.2

Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals.

MA.7.GR.2.2

Solve real-world problems involving surface area of right circular cylinders.

MA.7.GR.2.3

Solve mathematical and real-world problems involving volume of right circular cylinders.