Course Syllabus

St. George's School - Pre-Calculus Math 11 
COURSE OUTLINE 2021-2022 

 

Quick Course links: 

Mathematics is more than a sequence of calculations that lead to the correct solution to a problem. It is a state of mind and an intellectual art. It is a discipline of analytical thinking that goes beyond its immediate, apparent, and obvious applications. It confirms, expands, and diversifies the meaning of what it is to be human, and its language is accessible to people of all cultures and backgrounds. Mathematics have been with us ever since we began using language, and the requirement for mathematics has been inescapable ever since we civilized.

The course content is built around the following Big Ideas:

  • Generalization using algebra as a tool for expressing abstract thinking
  • Connections between operations extended to powers, radicals. and polynomials
  • Relationships of a quadratic nature are prevalent in this world
  • Indirect-Measurement problems are solved through Proportional reasoning in trigonometry

Learning outcomes (Curricular Competencies)

These skills will be emphasized, embraced, valued, supported and encouraged throughout, and will be built into assessment where appropriate and relevant. In addition, Separate assignments focusing on curricular competencies should be expected. The following curricular competencies together will account for 40% of the final course mark.

  • Reasoning and modelling 
    Develop thinking strategies to solve puzzles and play games 
    Explore, analyze, and apply mathematical ideas using reason, technology, and other tools 
    Estimate reasonably and demonstrate fluent, flexible, and strategic thinking about number 
    Model with mathematics in situational contexts
    Think creatively and with curiosity and wonder when exploring problems
  • Understanding and solving 
    Develop, demonstrate, and apply mathematical understanding through play, story, inquiry, and problem solving 
    Visualize to explore and illustrate mathematical concepts and relationships 
    Apply flexible and strategic approaches to solve problems 
    Solve problems with persistence and a positive disposition 
    Engage in problem-solving experiences connected with place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures
  • Communicating and representing 
    Explain and justify mathematical ideas and decisions in many ways 
    Represent mathematical ideas in concrete, pictorial, and symbolic forms 
    Use mathematical vocabulary and language to contribute to discussions in the classroom 
    Take risks when offering ideas in classroom discourse 
  • Connecting and reflecting 
    Reflect on mathematical thinking 
    Connect mathematical concepts with each other, other areas , and personal interests 
    Use mistakes as opportunities to advance learning 
    Incorporate First Peoples worldviews, perspectives, knowledge, and practices to make connections with mathematical concept


Learning Outcomes concerning Mathematical Content Topics
There is some degree of flexibility by the teacher, in the time allocated to each topic, depending upon circumstances, but the program will be delivered broadly as indicated, in the order indicated.

Term  Unit  Specific Outcome
One
  • Trigonometry
  • Linear Inequalities
  • Number Sense
  • Powers and Radicals
  • M11, 12, 13, 14
  • RF15
  • AN18
  • AN19, 23
Two
  • Radical Expressions and Equations
  • Quadratic Functions
  • Factoring Polynomials
  • Quadratic Equations 
  • AN24
  • RF11, 12
  • RF9
  • RF13
Three
  • Systems of Equations
  • Quadratic Inequalities
  • Financial Literacy
  • Rational Expressions and Equations
  • RF8
  • RF16
  • FL6, 8
  • AN25, 26

 

Main Text: Pre-Calculus 11 McGraw-Hill Ryerson (MHR)

Course Summary:

Date Details Due