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Clarifications
Clarification 1: Postulates, relationships and theorems include opposite sides are congruent, consecutive angles are supplementary, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and rectangles are parallelograms with congruent diagonals.Clarification 2: Instruction includes constructing two-column proofs, pictorial proofs, paragraph and narrative proofs, flow chart proofs or informal proofs.
Clarification 3: Instruction focuses on helping a student choose a method they can use reliably.
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Formative Assessments
MFAS Formative Assessments
Students are given expressions that represent the measures of two angles of a parallelogram and are asked to find the measures of all four angles describing any theorems used.
Students are given parallelogram ABCD along with midpoint E of diagonal AC and are asked to determine the relationship between the lengths AE + ED and BE + EC.
Students are given expressions that represent the measures of two angles of a parallelogram and are asked to find the measure of an angle opposite one of the given angles.
Students are asked to explain how to determine whether a four-sided frame is a rectangle using only a tape measure.
Students are asked to prove a specific diagonal of a rhombus bisects a pair of angles.
Students are asked to prove that a rectangle is a parallelogram.
Students are asked to prove that the diagonals of a rectangle are congruent.
Students are asked to prove that opposite angles of a parallelogram are congruent.
Students are asked to prove that the diagonals of a parallelogram bisect each other.
Students are asked to prove that opposite sides of a parallelogram are congruent.
Students are asked to explain why a pair of triangles formed by the sides and diagonals of a parallelogram are congruent.
