Using the State Curriculum: Geometry

Solid Geometric Figures

• The student will recognize geometric solids when given the two-dimensional representations (e.g., nets, multiple views).
• The student will draw two-dimensional representations of three-dimensional solids.
• The student will analyze the properties and relationships of geometric solids with bases other than rectangles, triangles, or circles.
• The student will analyze the properties and relationships of oblique solids.
• The student will analyze the properties and relationships of truncated three-dimensional solids.

Radians

• The student will explore the relationship between the measure of the central angle and the arc length in a circle.
• The student will explore the relationship between radian measure and the corresponding degree measure from 0 to 2.

Perspective Drawings

• The student will analyze the properties of perspective drawings including vanishing points, lines of sight, and hidden lines.

Polar Coordinates

• The student will locate points on the polar coordinate system including points with rotation greater than 360°.
• The student will explore the relationship between a point on the coordinate plane with the same point on the polar coordinate system.

Three-dimensional Coordinate Plane

• The student will represent a point in space as an ordered triple.
• The student will use the distance and midpoint formulas for segments in three-dimensional space.
• The student will explore relationships given a set of points in space such as collinear, coplanar, and relative placement inside or outside a figure.

Matrices

• The student will write and plot ordered pairs from matrix notation.
• The student will find transformation images, including rotations, reflections, dilations and translations, using matrices.

Vectors

• The student will identify the distance and direction of a given vector.
• The student will find resultant vectors.
• The student will describe translations using vectors.
• The student will find translation images using vector sums.

Perspective Drawings

• The student will use the properties of perspective drawings to draw two-dimensional or three-dimensional shapes using vanishing points, lines of sight, and hidden lines.