Foundations of math 11

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

  • Similar shapes and objects have proportional relationships that can be described, measured, and compared.

  • Optimization informs the decision-making process in situations involving extreme values.

  • Logical reasoning helps us discover and describe mathematical truths.

  • Statistical analysis allows us to notice, wonder about, and answer questions about variation.

Textbook: Canavan-McGrath et al., Foundations of Mathematics 11, Nelson, 2011.

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

Assignments

Unit Tests and quizzes

15%

85%

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.

Content

  • forms of mathematical reasoning

    • logic, conjecturing, inductive and deductive thinking, proofs, game/puzzle analysis, counter-examples

  • angle relationships

    • properties, proofs, parallel lines, triangles and other polygons, angle constructions

  • graphical analysis using technology

    • linear inequalities

      • graphing of the solution region

      • slope and intercepts

      • intersection points of lines

    • quadratic functions

      • characteristics of graphs, including end behaviour, maximum/minimum, vertex, symmetry, intercepts

    • systems of equations

      • including linear with linear, linear with quadratic, and quadratic with quadratic

    • optimization

      • using feasible region to optimize objective function

      • maximizing profit while minimizing cost

      • maximizing area or volume while minimizing perimeter

  • applications of statistics

    • posing a question about an observed variation, collecting and interpreting data, and answering the question

    • measures of central tendency, standard deviation, confidence intervals, z-scores, distributions

  • scale models

    • enlargements and reductions of 2D shapes and 3D objects

    • comparing the properties of similar objects (length, area, volume)

    • square-cube law

  • financial literacy: compound interest, investments and loans

    • compound interest

    • introduction to investments/loans with regular payments using technology

    • buy/lease