In the philosophy of Greek philosopher Plato, he saw geometry and mathematics existing in their own ideal world. The 5 Platonic solids are connected to nature through the association of natural elements earth, fire, air, water, and the universe from which the world was made. Explore how humans interact with geometry and mathematics and realize the beauty behind them in everyday life.

- Common Core MathematicsCCSS.Math.Content.2.G.A.12, Geometry, Reason with shapes and their attributes.Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces. Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.CCSS.Math.Content.3.G.A.13, Geometry, Reason with shapes and their attributes.Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.CCSS.Math.Content.4.G.A.24, Geometry, Draw and identify lines and angles, and classify shapes by properties of their lines and angles.Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.CCSS.Math.Content.5.G.B.35, Geometry, Classify two-dimensional figures into categories based on their properties.Understand that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.CCSS.Math.Content.6.G.A.46, Geometry, Solve real-world and mathematical problems involving area, surface area, and volume.Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.CCSS.Math.Content.7.G.B.67, Geometry, Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.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.CCSS.Math.Content.8.G.A.28, Geometry, Understand congruence and similarity using physical models, transparencies, or geometry software.Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

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