Foundations of math 12

We will be using the new curriculum, which was finalized this year. The Big Ideas are

  • Probabilistic thinking informs decision making in situations involving chance and uncertainty.

  • Modelling data requires an understanding of a variety of functions.

  • Mathematical analysis informs financial decisions.

  • Through explorations of spatial relationships, we can develop a geometrical appreciation of the world around us.

Textbook: Canavan-McGrath et al., Foundations of Mathematics 12, Nelson, 2012.

Assessment will be based on unit tests, homework, quizzes, and a final exam.

Assignments

Unit Tests and quizzes

Final Exam

15%

70%

15%

Assignments will be marked by the student and handed in. Answer keys will be provided.

Quizzes will fall throughout the course units.

Unit Tests will occur at the end of each unit.

The final exam will take place in the exam period.

Content

    • geometric explorations:

        • constructions

          • perpendicular bisector, tangents, polygons, tessellations, geometric art

        • conics

          • locus definition and constructions, conic sections, applications

        • fractals

          • understanding fractals as an iteration of a simple instruction

          • constructing and analyzing models of fractals, such as Cantor’s dust, Serpinski’s triangle, Koch’s snowflake

          • connecting fractals with nature

    • graphical representations of polynomial, logarithmic, exponential, and sinusoidal functions

      • using technology only

      • using characteristics of a graph to identify these functions

    • regression analysis

      • polynomial, exponential, sinusoidal, logarithmic

      • applying the appropriate regression model

    • combinatorics

      • permutations, combinations, pathways, Pascal’s Triangle

    • odds, probability, and expected value

      • mutually exclusive, non–mutually exclusive, conditional probability, binomial probability

      • Venn diagrams

    • financial planning

      • developing a personal financial portfolio

      • mortgages

      • risk

      • changing interest rates and/or payments

      • credit cards

      • exploring banking options and financial markets