Honors Geometry

Avon Lake City Schools 

Curriculum Framework

Honors Geometry

Course Overview:

This course is designed to help the student to: (1) acquire geometric facts (2) understand geometry as a deductive system (3) develop the ability to visualize plane and space figures (4) understand relationships of number, points, line, planes, and three dimensional figures (5) develop the ability to think creatively and (6) develop the ability to use an analytical approach to geometric relationships. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Prerequisite: Algebra I and the recommendation of the instructor. This class meets one period daily for ½ unit of credit each semester.

Textbook (Title and Publishing Company): 

Big Ideas Math Geometry

Online/Supplemental Materials:

Delta Math

Desmos

Construction tools (compass and protractor)

Assessments: 

Common assessments will be given among all honors geometry courses.

Ohio State Test in geometry will be given in the spring

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)

  • Probability (S.CP.1, S.CP.2)

  • 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

    • Partitioning a segment

  • Proofs (G.CO.9)

    • 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

    • Medians

  • Similarity (Non-rigid Motions) (G.SRT.1, G.SRT.2, G.SRT.2, G.SRT.4, G.SRT.5) 

    • Dilations 

    • Definitions and theorems

    • Applications

  • Coordinate proof (G.GPE.4, G.GPE.5, G.GPE.7, G.SRT.5, G.CO.11) 

    • Triangles

    • Special quadrilaterals

3rd Quarter- 


  • 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 and sector area

    • Angle measurements

    • Segment lengths 

    • Using degrees and radians 

4th Quarter -  

  • Law of sines/cosines (G.SRT.9 (+), G.SRT.10 (+), G.SRT.11)

    • Applications (model) of law of sines/cosines

  • Regular polygons (G.GPE.7)

    • Perimeter and area

    • Interior and exterior angles

  • Special quadrilaterals (G.CO.11) 

    • Proofs

    • Area and perimeter

  • Area 

  • Volume of solids (G.GMD.1, G.GMD.3, G.MG.1, G.GMD.4)

Last Updated:

September, 2023