Standards - Mathematics

Use the Mathematical Modeling Cycle to solve real-world problems involving the design of three-dimensional objects.

Construct a two-dimensional visual representation of a three-dimensional object or structure.

Determine the level of precision and the appropriate tools for taking the measurements in constructing a two-dimensional visual representation of a three-dimensional object or structure.

Create an elevation drawing to represent a given solid structure, using technology where appropriate.

Determine which measurements cannot be taken directly and must be calculated based on other measurements when constructing a two-dimensional visual representation of a three-dimensional object or structure.

Determine an appropriate means to visually represent an object or structure, such as drawings on paper or graphics on computer screens.

Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.

Describe the features of a three-dimensional Cartesian coordinate system and use them to graph points.

Graph a point in space as the vertex of a right prism drawn in the appropriate octant with edges along the x, y, and z axes.

Find the distance between two objects in space given the coordinates of each.

Find the midpoint between two objects in space given the coordinates of each.

Use technology and other tools to explore the results of simple transformations using three- dimensional coordinates, including translations in the x, y, and/or z directions; rotations of $90^{\circ}$, $180^{\circ}$, or $270^{\circ}$ about the x, y, and z axes; reflections over the xy, yz, and xy planes; and dilations from the origin.

Use technology and other tools to explore the results of simple transformations using three- dimensional coordinates, including translations in the x, y, and/or z directions; rotations of $90^{\circ}$, $180^{\circ}$, or $270^{\circ}$ about the x, y, and z axes; reflections over the xy, yz, and xy planes; and dilations from the origin.