Geometry
Geometry Online High School Course
COURSE LENGTH:
Full Year (30 Sessions)
COURSE OVERVIEW:
A rough translation of the word geometry from Greek is “measuring Earth”. The focus of introductory geometry is on concepts and constructs that can be “seen”, counted, measured, and calculated: points, lines, angles, two-dimensional shapes, and three-dimensional solids. Spatial thinking, modeling, and formal reasoning are used to develop formulas, proofs, and to solve problems. Important connections will be made between geometry and introductory algebra.
GUIDING QUESTIONS:
A single counterexample is enough to show a statement is false. What is required to show a statement is true?
Geometric proofs and postulates tend to build on one another. What are the most basic building blocks of geometry?
How can geometry be applied in the “real world”?
How does geometry fit in with or connect to other types of math?
What are the advantages or disadvantages of calculating values instead of measuring them directly?
LEARNING OBJECTIVES:
Use and develop visuospatial thinking as a basis for geometric reasoning.
Expand the concept of numeracy beyond counting to include length, area, and volume.
Produce and test hypotheses through inductive reasoning and counterexamples.
Build a network of postulates, properties, theorems, and corollaries through deductive reasoning.
Measure angles and lengths with the appropriate tools.
Apply formulas to quantify magnitudes of angles, lengths, areas, volumes, etc.
Communicate geometric ideas effectively using the proper vocabulary and notation.
Identify, categorize, and classify geometric constructs based on their observed features.
Connect geometric ideas to algebraic processes.
Solve complicated problems and describe the process.