VHS Course Catalog

Geometry

Syllabus 
Description
This full-year course expands students' knowledge of geometric concepts from earlier grades. This course emphasizes a detailed exploration of geometric properties, congruency and similarity, and interpreting algebraic equations and inequalities geometrically. Translations of fixed objects on the coordinate plane as well as geometric probability and right triangle trigonometry will also be explored in detail. Students will also explore plane and solid geometric shapes with an emphasis on real world applications. Students will develop formal and informal proof using deductive reasoning skills. A variety of interactive tools and programs will be used to help students visualize and apply concepts.

Prerequisites
Algebra 1. Please note this course contains a final exam that will require the student to identify in advance an appropriate location as well as an adult proctor for the exam.
Course Objectives
Students will be able to:
  • Use logical reasoning to identify and apply properties of congruence
  • Create geometric constructions to investigate and describe geometric properties
  • Use deductive reasoning to prove theorems involving geometric concepts and similarity
  • Identify and apply trigonometry for right triangles and general triangles to model situations
  • Calculate volumes of three-dimensional objects and use to model and solve problems
  • Connect algebraic concepts and geometric concepts through coordinates
  • Identify and apply properties of circles to model and solve problems
  • Apply properties of probability to interpret data
    • Additional Requirements
    Required materials: graphing calculator, protractor, compass, and ruler.

    Please note: This course requires use of flash to access some course content, which will require regular access to a computer with a Windows/Mac operating system or Chromebook. This part of the course cannot be completed on a mobile device, and will require Flash to be enabled.

    Please note: This course requires regular access to a computer with a Windows[/Mac] operating system in order to install the software required for the course. This part of the course cannot be completed on a Chromebook or mobile device.
    Details
    Discipline: Mathematics
    Level: Standard
    Grade: 7, 8, 9, 10, 11, 12, 13
    Program: Gifted and Talented Middle School,High School
    When Offered: F18, SP19
    Duration: 36 weeks
    OTM Course: No
    Media Kit Shipped: No
    Media Kit Purchased: No
    Course Code:
    MA NCES Code: 02052
    Accredited: AdvancED, Certified by NCAA for initial-eligibility (VHS School Code: 221356), Middle States Commission on Secondary Schools