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.
TEST ITEM SPECIFICATIONS
This benchmark may be assessed using:
- Assessment Limits :
Items may require the student to be familiar with similarities and
differences between types of parallelograms (e.g., squares and
Items may require the student to identify a specific parallelogram.
Items may assess theorems and their converses for opposite sides of
a parallelogram, opposite angles of a parallelogram, diagonals of a
parallelogram, and consecutive angles of a parallelogram.
Items may assess theorems and their converses for rectangles and
Items may include narrative proofs, flow-chart proofs, two-column
proofs, or informal proofs.
In items that require the student to justify, the student should not be
required to recall from memory the formal name of a theorem.
- Calculator :
- Clarification :
Students will prove theorems about parallelograms.
Students will use properties of parallelograms to solve problems.
- Stimulus Attributes :
Items may be set in real-world or mathematical context.
- Response Attributes :
Items may require the student to classify a quadrilateral as a
parallelogram based on given properties or measures.
Items may require the student to prove that a quadrilateral is a