Math - 2018-19
4.11 - Plane & Solid Figures
The student will
- identify, describe, compare, and contrast plane and solid figures according to their characteristics (number of angles, vertices, edges, and the number and shape of faces) using concrete models and pictorial representations.
So that I can recognize the perspective of different art work and different artist
So that I can see which patterns or shapes are the same and which are different
- So that I can use repeated patterns as a future fashion designer
UNDERSTANDING THE STANDARD
- The study of geometric figures must be
active, using visual images and concrete materials (tools such as graph paper,
pattern blocks, geoboards, geometric solids, and computer software tools).
- Opportunity must be provided for building and
using geometric vocabulary to describe plane and solid figures.
- A plane figure is any closed, two-dimensional
- A solid figure is three-dimensional, having
length, width, and height.
- A face is any flat surface of a solid figure.
- An angle is formed by two rays with a common
endpoint called the vertex. Angles
are found wherever lines and/or line segments intersect.
- An edge is the line segment where two faces
of a solid figure intersect.
- A vertex is the point at which two or more
lines, line segments, or rays meet to form an angle. In solid figures, a vertex is the point at
which three or more faces meet.
- A cube is a solid figure with six congruent,
square faces. All edges are the same
length. A cube has eight vertices and 12
- A rectangular prism is a solid figure in
which all six faces are rectangles. A
rectangular prism has eight vertices and 12 edges. A cube is a special case of a rectangular
- A sphere is a solid figure with all of its points
the same distance from its center.
- A square pyramid is a solid figure with a
square base and four faces that are triangles with a common vertex. A square pyramid has five vertices and eight
- Characteristics of solid figures included at
this grade level are defined in the chart below:
|Solid Figure||# of Faces||Shape of Faces||# of Edges||# of Vertices|
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
concrete models and pictorial representations of solid figures (cube,
rectangular prism, square pyramid, sphere, cone, and cylinder).
- Identify and
describe solid figures (cube, rectangular prism, square pyramid, and sphere)
according to their characteristics (number of angles, vertices, edges, and by
the number and shape of faces).
- Compare and
contrast plane and solid figures (circle/sphere, square/cube, triangle/square
pyramid, and rectangle/ rectangular prism) according to their characteristics (number
of sides, angles, vertices, edges, and the number and shape of faces).