Geometry Unit 7

Quadrilaterals

5 Instructional Days - 3rd 6 Weeks

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Big Idea:

Develop properties of quadrilaterals using angles, sides, and diagonals

Student Expectations:

Priority TEKS

G.5(A) [Readiness] 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

Focus TEKS

G.6(D) [Supporting] verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

G.6(E) [Supporting] prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems

Ongoing TEKS

G.5(A) [Readiness] 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(D) [Supporting] verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

Student Learning Targets:

  • I will prove and use the Triangle Mid-segment Theorem.
  • I will develop and prove properties of trapezoids, parallelograms, rectangles. Rhombuses, and squares.
  • I will develop, prove, and apply criteria for showing that a quadrilateral is a parallelogram.
  • I will develop, probe and apply criteria for showing that a quadrilateral is a rectangle.
  • I will develop, probe and apply criteria for showing that a quadrilateral is a rhombus.
  • I will develop, probe and apply criteria for showing that a quadrilateral is a square.

Essential Questions:

  • How does the nature of a particular quadrilateral affect the angle, side, and diagonal relationships within the quadrilateral?

Extra Information:

Adopted Textbook: Springboard - Geometry Texas Edition

District Grading Policy

Texas Gateway Online Resource Center

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