Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Remarks/ExamplesGeometry - Fluency Recommendations
Fluency with the use of construction tools, physical and computational, helps students draft a model of a geometric phenomenon and can lead to conjectures and proofs.
TEST ITEM SPECIFICATIONS
This benchmark may be assessed using:
- Assessment Limits :
Constructions are limited to copying a segment; copying an angle;
bisecting a segment; bisecting an angle; constructing perpendicular
lines, including the perpendicular bisector of a line segment;
constructing a line parallel to a given line through a point not on the
line; constructing an equilateral triangle inscribed in a circle;
constructing a square inscribed in a circle; and a regular hexagon
inscribed in a circle.
Constructions are limited to the use of a formal compass and a
Items should not ask student to find values or use properties of the
geometric figure that is constructed.
- Calculator :
- Clarification :
Students will identify the result of a formal geometric construction.
Students will determine the steps of a formal geometric construction
- Stimulus Attributes :
Items may be set in a real-world or mathematical context.
- Response Attributes :
Items may require the student to justify why a construction results in
the geometric figure.
Items may require the student to use or choose the correct unit of
Items may require the student to provide steps for a construction.