Learning Goal: Introduce proving quadrilaterals are parallelograms and apply understanding to solve problems.

Classwork

• Estimation – Grammichele
• Warm Up that includes…
  • Is this a rectangle? (Illustrative Mathematics)
  • Problem breakdown (Jennifer Wilson)
• Notes Preparation
  • Notes
• Ungraded Formative Assessment / Practice
  • Click here to see how to use this assessment

Answers

• Link to Answers

 Standards

• Common Core
  • HSG.CO.C.11 – Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
• TEKS
  • G.5(A) – investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
  • G.6(E) – prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems