VHS Course Catalog

Geometry

Syllabus  Media Kit 

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 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
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    Discipline: Mathematics
    Level: High School Standard
    Program: Gifted and Talented Middle School, High School
    Grade: 7, 8, 9, 10, 11, 12, 13
    When Offered: Fall
    Duration: 35 weeks
    Lab Kit Purchase Required: No
    Accredited: Certified by NCAA for initial-eligibility (VHS Learning School Code:221356), Cognia (AdvancED), Middle States Commission on Secondary Schools, Western Association of Schools and Colleges