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Geometry

The Fine Print

Course Goals

  • Achieve proficiency in describing defined and undefined terms to visualize geometric concepts

  • Use formulas to find midpoints, distances, and bisectors of lines

  • Describe angle properties and relationships to determine characteristics of line

  • Given a geometric figure, perform transformations, tessellations, and dilations on a coordinate plane 

  • Justify relationships of triangles through mathematical arguments using congruence postulates 

  • Justify properties of lines through mathematical arguments using angle theorems 

  • Understand and prove properties in order to classify polygons 

  • Use theorems and postulates to prove properties of circles 

  • Use inductive reasoning and logic to draw conclusions and formulate conjectures

  • Use formulas to find the perimeter, area, and volume of 2D and 3D figures​

Topics Covered

  • Relationships and properties of points, lines, planes and angles

  • Properties of polygons including classification, measurements of sides and angles, perimeter, area, and volume 

  • Surface area of 3D shapes

  • Properties of circles including circumference and measurements of parts of a circle including arcs, chords, angles and segments

  • Inductive reasoning, deductive reasoning and logic to formulate proofs

  • Transformations of figures including reflections, translations, rotations and dilations

  • Relationships and properties of triangles including congruence, similarity, and classifications in order to construct proofs

  • Trigonometry involving right triangles, the Triangle Inequality, The Pythagorean Theorem, The Law of Sines and The Law of Cosines

 

Prerequisites

  • Students must have successfully completed Algebra 1 or Integrated Math 1.

 

Course Details

  • See the FAQ for complete dates, times, and breaks.

  • See the FAQ for CA charters that designate this class as a-g approved.

 

Instructor Demo

  • See a ZOOM Demo: Ashley Porter demonstrates her instructional approach.

Course Resources

Textbook

  • Glencoe Geometry (2018)

  • WebAssign ($21.50). Homework platform; purchase coordinated through instructor.

Web Resources

  • Glencoe digital companion to Geometry text--ebook & web resources (cost is included in tuition)

  • GeoGebra. Free application for students to visualize 2D and 3D geometric shapes/properties

  • Desmos.com. Free online graphing calculator for use in sections involving equations of lines and algebraic functions 

Calculator

  • A graphing calculator is not required, although a scientific calculator will come in handy.

  • If students plan to purchase a graphing calculator, we recommend the TI-84 series. 

Technical Resources

We use ZOOM for live classes. Students need:

  • A reliable internet connection

  • A computer with a web-cam

  • Recommended: a headset with a microphone (built-in computer microphone will work if needed)

 

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AP and Advancement Placement are registered trademarks of the College Board. Used with permission.