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Lesson Plans by Anna Warfield

Mathematics is not all about numbers on a page. Architects, engineers, artists, product designers, and others use planar and spatial geometry constantly. Most children use planar and spatial geometry every day! There are many things we just don’t think about in terms of mathematics, but intuitively interact with and understand them. Learning about solid shapes is a first step into understanding three dimensions and spatial reasoning, as well as more complex topics such as mass, weight, volume, density, positions in space, translation, rotation, revolution, forces in physics, and so many others.

Geometric Solids and Shapes Vocabulary

- SOLID
- SIDE
- VERTEX
- A solid in geometry is a three-dimensional figure. Spheres, prisms, pyramids, cones, and cylinders are examples of solids.
- The side of a polygon is any of the line segments that make up the polygon.
- The vertex of a polygon is the point where two or more segments meet. On a solid figure, the vertex is the point where three or more edges meet.
- PLANE SHAPE
- SHAPE VOCABULARY
- FACE
- APEX
- Flat figure represented with line segments and curves. Polygons have no curves.
- The face of a polyhedron is one of the flat surfaces. All polyhedron faces are polygons.
- The apex is the vertex at the tip of a pyramid or a cone.