Lesson 1: An investigation into Points, Lines and Planes.

  • Define what a point, a line and a plane.
  • Define segment, endpoint, ray and Opposite Rays.
  • Define What a Postulate is.
  • Introduce Postulate 1: through any two points there is exactly one line.
  • Postulate 2:Through any three noncollinear points there is exactly one plane containing them.
  • Postulate 3: If two points lie in a plane, then the line containing those points lies in the plane.

Lesson 2: Angle Relationships

  • Vocabulary: Adjacent Angles, Linear Pair, Complementary Angles, Supplementary Angles and Vertical Angles
  • Prove Vertical angles! An easy proof to demonstrate the use of linear pairs as well as an introduction to the transitive property or substitution property.
  • Typical Problems and quiz.

Lesson 3: Geometric Reasoning

  •  Conditional Statements, converse, inverse and contrapositive.
  • There are many real life examples of conditional statements available.
  • Logically equivalent statements.
  • Quiz:

Lesson 4: Parrallel Lines and Transversals

Lesson 5: Triangles

  • Prove Triangle Sum Theorem
  • Area of triangles
  • Pythagorean Theorem
  • Special Right triangles
  • Quiz

Lesson 6: Triangle Congruence

  • Go over the theorems SSS, SAS, ASA, AAS and HL.

Lesson 7: Introduction to regular Polygons

  • Warm Up: Special Right triangles
  • Tutor facilitates the creation of the sum of interior angles formula.
  • Facilitates the production of the formula  for the measurement of one angle.
  • Find the Area of Regular Polygons.

Lesson 8: Circles

  • Vocabulary: Arcs, Chords, Tangents, Points of Tangency, Inscribed Angles
  • Angle Relationships in Circles
  • Segment Relationships in Circles