MATH STRAND IV:
GEOMETRY
11. Visualize and show the results of rotation, translation, reflection, or stretching of geometric figures.
Rotation, translation, reflection, and stretching are four ways geometric figures can be changed or transformed. The following list describes each kind of transformation:
a) rotation: the image of a figure moved through an angle about a point on a plane
b) reflection: the mirror image of a figure about a line of symmetry or a point on a plane
c) translation: a slide image of the original figure
d) stretching (also called expansion or contraction): the image of a figure having a size change of a particular magnitude. For example, the image of (x, y) is (kx, kv) with a size change of magnitude k.Test items may have students identify a transformation or draw a particular transformation of a given figure on a grid or graph. (Students will not be asked to define these terms.) Students may be asked to use ordered pairs to identify or label the vertices of the figure drawn.
12. Recognize, classify, and/or use characteristics of lines and simple two-dimensional figures including circles; and apply models and properties to characterize and/or contrast different classes of figures including three-dimensional figures.
Students should be able to identify, describe, compare, and classify lines that are parallel, intersecting, or perpendicular. Test items may have students recognize, classify, compare, and apply the characteristics or properties of simple plane and solid figures, including prisms, pyramids, cones, cylinders, and spheres.
Students will not be required to define terms; however, recognition and use of termonology, models, characteristics, and properties is expected. These may include terms associated with and visual representations of lines (e.g., parallel, perpendicular, intersecting); two-dimensional figures (e.g., diagonals, sides, quarilaterals such as squares, rectangles, rhombuses, parallelograms); three-dimensional figures (e.g., bases, faces, edges, rectangular and triangular prisms and pyramids).
Phone: 330-945-5600, Fax: 330-945-6222