Geometry Unit 11

Big Idea:

Evaluate the area and perimeter of polygons and find the arc length and area of the sector of circles

Student Expectations:

Priority TEKS

G.11(A) [Supporting] apply the formula for the area of regular polygons to solve problems using appropriate units of measure

G.11(B) [Readiness] determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure

Focus TEKS

G.12(B) [Supporting] apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems

G.12(C) [Supporting] apply the proportional relationship between the measure of the area of a sector of a circle and the area of the circle to solve problems

G.12(D) [Supporting] describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle

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

Student Learning Targets:

• I will solve problems using composite areas of
  • Triangles
  • Rectangles
  • Parallelograms
  • Kites
  • Trapezoids
  • Rhombuses
  • Regular polygons
• I will use coordinates to compute perimeters and areas of figures
• I will develop a formula
  • For the sum of measures of the interior angles of a polygon.
  • For the Measures of each interior angle of a regular polygon.
  • For the area of a regular polygon.
• I will determine the sum of the measures of the exterior and interior angles of a polygon.
• I will determine the measure of the exterior and interior angles of a polygon.
• I will develop and apply a formula for the
  • Circumference of a circle.
  • Arc length of a circle
  • Area of a circle
  • Area of a sector of a circle.
• I will prove that all circles are similar.
• I will describe and apply radian measure.

Essential Questions:

• Why are you there multiple pathways for determining the area and perimeter of composite figures?
• How are the area & perimeter related?

Extra Information:

Adopted Textbook: Springboard - Geometry Texas Edition

District Grading Policy

Texas Gateway Online Resource Center