Geometry Clarifying Activities Geometry Knowledge and Skills and Performance Descriptions statements are listed below with Clarifying Activities. The student analyzes geometric relationships in order to make and verify conjectures. The student uses constructions to explore attributes of geometric figures and to make conjectures about geometric relationships. In the construction above, segment AB is the diameter of the semi-circle and the radius of the quarter circle. Equilateral and isosceles triangles also have the third vertex in specific locations on the classifier.
Students discuss the results as a class and analyze why the classifier works as it does.
The student analyzes geometric relationships in order to make and verify conjectures. The student makes and verifies conjectures about angles, lines, polygons, circles, and three-dimensional figures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic. Clarifying Activity Using construction technology, students explore the properties of various quadrilaterals. For example, students are given a parallelogram and use the measure function of the technology to find congruent angles and segments. Then the students drag a vertex of the parallelogram, making sure the new quadrilaterals formed are always parallelograms, and see if the congruences hold true for several different parallelograms.