Geometry

Department(s): 
Mathematics
Course Title:  Geometry
2 Semesters – 10 Credits – 5 Class Periods Per Week
 
Course Description:
This course is a study of lines, angles, polygons, circles, arcs, solids, and coordinate geometry. Geometry stresses the concepts of logic, formal proofs, and problem solving, combining geometric concepts with algebraic fundamentals. Teaching methodology includes lecture/class discussion, small group investigations, and individual drill work.
 
Course Objectives:
  • Students will understand how relationships and concepts in mathematics demonstrate the wonders of God’s creation.
  • Students will understand how mathematics reveals the invisible attributes of God.
  • Students will understand how mathematics aids mankind in fulfilling our purpose of honoring God and serving each other.
 
This course will also introduce concepts of Geometry:
  • Relationships between:  point, lines, planes, segments, rays, angles
  • Two column proofs of theorems
  • Angle measure
  • Parallel lines and planes (properties of parallel lines)
  • Triangles (proving congruent, proving similar)
  • Applying right triangles (45-45-90 & 30-60-90)
  • Proving segments congruent
  • Angles congruent
  • Right triangles, Pythagorean theorem
  • Isosceles triangles
  • Parallelogram
  • Quadrilaterals
  • Polygons (similar)
  • Circles (tangents, arcs, chords, measuring angles in a circle)
  • Measuring plane and solid figures (areas, volumes)
  • Coordinate geometry (slope and midpoint, mid-distance)
  • Basic Trigonometry (cosine, sine, tangent, cosecant, cotangent, secant)
  • Quadrilaterals, areas, and volumes
 
Textbook:
Douglas B. Aichele, et al., Geometry Explorations and Applications, published by McDougal Littell, 1998
 
Required Materials:
                Bible, textbook, scientific calculator, writing materials
 
Prerequisite:
                Completion of Algebra I with “D” or better.