Question

1. practice: making mental images

describe two ways to construct a cone.

1. grow the cone from its ____________

stack ____________ discs that get smaller until it reaches a point at the vertex.

1. enclose the cone with its base and lateral face.

base: 1 ____________
lateral face: 1 section of a ____________ wrapped around the base

1. practice: activating prior knowledge and using visual cues

name each solid. remember to tell if the solid is right or oblique.
then label each base and vertex.

1. practice: activating prior knowledge and organizing information

complete the chart. write 1, 2, or 3 in each blank.

Explanation:

Step1: Answer for constructing a cone - first method

Stack circular discs that get smaller until it reaches a point at the vertex. We can think of growing the cone from its base. So the blanks for the first method are "base" and "circular".

Step2: Answer for constructing a cone - second method

The base of a cone is 1 circle. The lateral face is 1 section of a circle (a sector) wrapped around the base. So the blanks for the second method are "circle" and "circle (sector)".

Step3: Naming the solids in 9)

• First solid (left - most in top row): Cylinder, right. Bases are the two circular faces at the top and bottom, and there are no vertices in the traditional sense for a cylinder.
• Second solid (middle in top row): Oblique cylinder. Bases are the two circular faces, and no vertices in the traditional sense.
• Third solid (right - most in top row): Right cone. Base is the circular face at the bottom, vertex is the pointed top.
• Fourth solid (left - most in bottom row): Oblique cone. Base is the circular face at the bottom, vertex is the pointed top.
• Fifth solid (middle in bottom row): Right prism (triangular prism). Bases are the two triangular faces, vertices are the corners of the triangles.
• Sixth solid (right - most in bottom row): Oblique prism (triangular prism). Bases are the two triangular faces, vertices are the corners of the triangles.

Answer:

1. 1. base; circular
2. circle; circle (sector)
3. - Cylinder, right. Bases: two circular faces, No vertices.

• Oblique cylinder. Bases: two circular faces, No vertices.
• Right cone. Base: circular face, Vertex: pointed top.
• Oblique cone. Base: circular face, Vertex: pointed top.
• Right prism (triangular prism). Bases: two triangular faces, Vertices: corners of triangles.
• Oblique prism (triangular prism). Bases: two triangular faces, Vertices: corners of triangles.