What topics will I learn about in Geometry?

Geometry at HSLDA Online Academy emphasizes two- and three-dimensional reasoning skills, coordinate and transformational geometry, and the use of geometric models to solve problems. Students will use a variety of applications and some general problem-solving techniques, including algebraic skills, to explore geometric relationships. We will look for the logic and order within this world that God created, and discover properties and theorems and rules for relationships within a distinctly Christian worldview. Students will inductively develop conjectures about properties and relationships and then verify them deductively.

Geometry can be considered to be the visual study of shapes, sizes, patterns, and positions. In this course, students will explore spatial sense and geometric reasoning while developing problem solving skills in real life.

By the end of the course, students should be able to:

  • Solve practical problems involving angles
  • Use angle relationships to determine if two lines are parallel
  • Perform a variety of geometric constructions
  • Construct and judge the validity of a logical argument
  • Investigate, identify, and prove congruence and similarity
  • Apply the Triangle Inequality properties to solve practical problems
  • Solve practical problems involving right triangles
  • Investigate/identify/prove/use properties of quadrilaterals
  • Use polygon interior and exterior angle measures to solve problems
  • Investigate and solve practical problems involving circles
  • Use formulas for surface area and volume to solve problems
  • Make a model of a 3-d figure from a 2-d drawing and vice versa
  • Use proportional reasoning/determine effect of change to one dimension
  • Solve problems involving symmetry and transformations