Warwick School District

Curriculum❯Honors Geometry

Honors Geometry

Grade Levels: 12 |

Course Description

Students will study the properties of figures such as triangles, parallelograms, squares, and circles as they would in Plane Geometry. In addition, two-column proofs, applications of geometric concepts, and problem solving will be given greater emphasis than in Plane Geometry. Techonology will be used as a tool to build and investigate figures and diagrams.

Core Curriculum Content Standards

PA Common Core: Mathematics (2013)

  • Geometry

    • GRADE High School

      • Use geometric figures and their properties to represent transformations in the plane.(2.3.HS.A1)
      • Apply rigid transformations to determine and explain congruence.(2.3.HS.A2)
      • Verify and apply geometric theorems as they relate to geometric figures.(2.3.HS.A3)
      • Apply the concept of congruence to create geometric constructions.(2.3.HS.A4)
      • Create justifications based on transformations to establish similarity of plane figures.(2.3.HS.A5)
      • Verify and apply theorems involving similarity as they relate to plane figures.(2.3.HS.A6)
      • Apply trigonometric ratios to solve problems involving right triangles.(2.3.HS.A7)
      • Apply geometric theorems to verify properties of circles.(2.3.HS.A8)
      • Extend the concept of similarity to determine arc lengths and areas of sectors of circles.(2.3.HS.A9)
      • Translate between the geometric description and the equation for a conic section.(2.3.HS.A10)
      • Apply coordinate geometry to prove simple geometric theorems algebraically.(2.3.HS.A11)
      • Explain volume formulas and use them to solve problems.(2.3.HS.A12)
      • Analyze relationships between two-dimensional and three-dimensional objects.(2.3.HS.A13)
      • Apply geometric concepts to model and solve real world problems.(2.3.HS.A14)

Units

Unit #1 - Introduction to Geometry

Unit #2 - Parallel & Perpendicular Lines

Unit #3 - Conditional Statements

Unit #4 - Triangles & Proofs

Unit #5 - Indirect Proofs

Unit #6 - Quadrilaterals & Polygons

Unit #7 - Proportions & Similarity

Unit #8 - Right Triangles

Unit #9 - Circles

Unit #10 - Area

Unit #11 - Surface Area & Volume

Unit #12 - Transformational Geometry

Course Resources

Prentice Hall Geometry. Authors Robert Kalin & Mary Kay Corbitt