⋅ College Prep Geometry
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College Prep Geometry - Parent/Community Course Guide

Adopted by Board of School Directors on March 2022
Grade Levels
: 09 | 10 |


Course Description
:


This academic course studies the properties of the fundamentals of geometry as well as polygons and their relationship to one another. Students will use algebra and inductive reasoning in this course. This course is part of the mathematical sequence required by most colleges.



Core Curriculum Content Standards
:


PA Core

PA Common Core: Mathematics (2013)
Algebraic Concepts
GRADE High School
  • Write expressions in equivalent forms to solve problems. (2.2.HS.D2)
  • Use reasoning to solve equations and justify the solution method. (2.2.HS.D9)
  • Geometry
    GRADE 5
  • Classify two-dimensional figures into categories based on an understanding of their properties. (2.3.5.A2)
  • GRADE 6
  • Apply appropriate tools to solve real-world and mathematical problems involving area, surface area, and volume. (2.3.6.A1)
  • GRADE 8
  • Understand and apply the Pythagorean Theorem to solve problems. (2.3.8.A3)
  • GRADE High School
  • 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)
  • 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)
  • 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)


  • Units
    :


    Unit #1 - Introduction to Geometry
    Unit #2 - Properties of Parallel and Perpendicular Lines
    Unit #3 - Conditional Statements
    Unit #4 - Triangles and Proofs
    Unit #5 - Quadrilaterals and Polygons
    Unit #6 - Ratios, Proportions and Similar Triangles
    Unit #7 - Right Triangles
    Unit #8 - Circles
    Unit #9 - Area
    Unit #10 - Volume


    Course Resources
    :


    Prentice Hall Geometry, Infinite Geometry, Teacher Created Material, GeoGebra