The Courses

Grade Seven
A) The Real Numbers: This course covers the whole numbers, the Integers, fractions, mixed number and decimals. Students learn the meaning and representations of the Real numbers, their relationships to one another and the overall nature of the Real Number systems as consisting of both the Rational and the Irrational numbers.

B) Mathematical Thinking: This course covers advanced topics in Mathematics with a Socratic teaching approach. Each student is encouraged to explore Mathematics in collaboration with his/her fellow students, formulating his/her own theories and eventually coming to significant mathematical discoveries.

Grade Eight
A) The Operations on the Real Numbers: This course covers the main operations on the Real Numbers of addition, subtraction, multiplication and division. Students learn the meaning of these operations, their properties, how to compute them and most importantly, how to apply them in the real world.

B) Mathematical Thinking: See "Seventh Graders," but with higher level topics.

Grade Nine
A) The Fundamentals of Algebra: This course covers the basics of Algebra. In addition to getting a review of the content from the previous courses, students learn the essence of Algebra as the study of operations. The content focuses on algebraic expressions and equations.

B) Mathematical Thinking: See "Seventh Graders," but with higher level topics.

High School (Grades Ten, Eleven, Twelve)
A) Algebra I, Algebra II or Preparation for the Michigan Math Prize Competition (MMPC): Each student takes one of these courses based on previous Mathematics background and their performance on a placement exam. The topics covered in Algebra I and Algebra II are the standard topics including algebraic expressions, equations, graphing, inequalities, generalized exponents and problem-solving. The MMPC is the most prestigious high school competition in Michigan and covers a full range of high school topics including Algebra, Trigonometry, Geometry, Probability, Statistics and Functions.

B) Advanced coursework for high school students is broken up by grade level:

Grade Ten
Logic: This course covers propositions, logical connectives, truth tables, logical equivalences and the validity of arguments. Students learn the basics of logical thinking in a formal way.

Grade Eleven
Proof: This course covers the meaning of Mathematical proof and the basic methods and processes involved in constructing and writing proofs. Students learn how to put together logical arguments and communicate them effectively to others. The Mathematics involved is wide ranging and proofs in other fields, such as Law, are presented.

Grade Twelve
The Foundations of Advanced Mathematics: This course covers the central mathematical concepts of sets, equivalence relations and functions. The Mathematics is abstract but powerful and the course culminates with an exploration of the notion of Infinity.