Geometry

Avon Lake City Schools

Curriculum Framework

Geometry

Course Overview:

This course serves to combine place, solid, and coordinate geometry into a modern one-unit course. The approach stresses the structure of mathematics showing logical development from definitions and postulates to theorems. Geometry and algebraic skills are integrated thereby showing the interrelationship of two (2) subjects. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Recommended for students who attained a “C” average or above in Algebra I. This class meets period daily for ½ unit of credit each semester.

Textbook (Title and Publishing Company):

Geometry Big Ideas (Larson)

Online/Supplemental Materials:

  • Delta Math
  • Desmos
  • Google Classroom
  • online textbook

Assessments: Common assessments will be given among all Geometry courses.

  • Ohio State Test

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter

  • Using inductive reasoning and conjecture (G.CO.1, G.CO.12)
  • Deductive reasoning, logic, and proof (G.CO.9, G.CO.7, G.CO.10, G.GPE.7)
  • Formulas (G.GPE.4)
    • The distance formula
    • The midpoint formula
  • Angles (G.CO.12)
    • Angle bisector
    • Perpendicular bisector
  • Parallel and perpendicular lines (G.CO.9, G.GPE.5, G.GPE.6)
    • Vertical angles
    • Alternate exterior angles, alternate interior angles, corresponding angles, consecutive, interior angles
  • Proofs (G.CO.9)
    • Algebraic Proofs
    • Parallel and perpendicular lines
    • Line segments and angles

2nd Quarter

  • Rigid motions (G.CO.2, G.CO.3, G.CO.4, G.CO.5, G.CO.6, G.CO.7)
    • Reflections
    • Translations
    • Rotations
  • Proofs about triangle congruence (G.CO.7, G.SRT.5)
  • Special triangle theorems (G.CO.10, G.CO.13, G.SRT.4, G.SRT.5 )
    • Triangle sum
    • Isosceles triangles
    • Midsegments
  • Similarity (Non-rigid Motions) (G.SRT.1, G.SRT.2, G.SRT.2, G.SRT.4, G.SRT.5)
    • Dilations
    • Definitions and theorems
    • Applications
  • Probability (S.CP.1, S.CP.2)

3rd Quarter

  • Coordinate proof (G.GPE.4, G.GPE.5, G.GPE.7, G.SRT.5, G.CO.11)
    • Triangles
    • Special quadrilaterals
  • Pythagorean theorem (G.SRT.4)
  • Right triangle trigonometry(G.SRT.6, G.SRT.7, G.SRT.8, G.MG.1, G.MG.2, G.MG.3 )
    • Applications (model) of right triangle trigonometry
  • Circle similarity (G.C.1)
  • Properties of circles (G.C.2, G.C.3, G.GPE.4, G.C.5, G.MG.1, S.CP.6, G.GPE.1)
    • Equations
    • Arc length
    • Angle measurements
    • Segment lengths

4th Quarter

  • Regular polygons (G.GPE.7)
    • Perimeter and area
    • Interior and exterior angles
  • Special quadrilaterals (G.CO.11)
    • Proofs
    • Area and perimeter
  • Area
  • Law of Sines, Law of Cosines
  • Volume of solids (G.GMD.1, G.GMD.3, G.MG.1, G.GMD.4)

Last updated: September, 2023