Grade 12 |

Prerequisite Chart | Grade 9 | Grade 10 | Grade 11 | Grade 12 |

Calculus and Vectors | MCV4UI |

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** Advanced Functions, Grade 12, University Preparation, must be taken prior to or concurrently with Calculus and Vectors. |

**CREDIT EQUIVALENTS:** MCV4UP - Advanced Placement Calculus is a similar course and you will not receive credit for taking both. |

Mathematics of Data Management, Grade 12, University Preparation | MDM4UI |

This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** MCF3MI - Functions and Applications, Grade 11, University/College Preparation **or** MCR3UP - Functions, Grade 11, University Preparation (Enriched) **or** MCR3UI - Functions, Grade 11, University Preparation |

**CREDIT EQUIVALENTS:** MDM4UP - Advanced Placement Mathematics of Data Management is a similar course and you will not receive credit for taking both. |

Advanced Placement Mathematics of Data Management | MDM4UP |

This course broadens students’ understanding of mathematics as it relates to managing data. Students will apply methods for organizing and analysing large amounts of information; solve problems involving probability and statistics; and carry out a culminating investigation that integrates statistical concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. Students planning to enter university programs in business, the social sciences, and the humanities will find this course of particular interest.
If there is sufficient student interest, the St. Mary's math department will be offering a double credit in Calculus (MCV4U) and Data Management (MDM4U) with preparation time given to an Advanced Placement examination. This double credit opportunity should be considered an enrichment opportunity and of interest to students pursuing math related university studies. Students interested in this 2 credit package will complete an independent assignment for Data Management (statistics) during the summer of 2012. The Ontario Curriculum for MCV4U will be taught first semester, 2012 and be completed at the end of semester 1 of next school year. Second semester will be the combined curriculum of Ontario's MDM 4U (Probabilty and Probability Distributions) as well as time given in preparation for an Advanced Placement Calculus A/B exam in May, 2013. It is necessary that students have access to a computer with MS Excel as well as the internet during the summer of 2012. |

**COURSE NOTE:** Students are encouraged to download a Student Application for Enriched Programmes Form from the school website and submit the completed form to guidance. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**COREQUISITES:** If you take this course, you must also take MCV4UP - Advanced Placement Calculus |

**CREDIT EQUIVALENTS:** MDM4UI - Mathematics of Data Management, Grade 12, University Preparation is a similar course and you will not receive credit for taking both. |

Advanced Functions | MHF4UI |

This course extends students’ experience with functions. Students will investigate the properties of polynomial, rational, logarithmic, and trigonometric functions; develop techniques for combining functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended both for students taking the Calculus and Vectors course as a prerequisite for a university program and for those wishing to consolidate their understanding of mathematics before proceeding to any one of a variety of university programs. |

**CREDIT:** 1 | **TYPE:** University | **GRADE:** 12 |

**PREREQUISITE:** MCT4CI - Mathematics for College Technology, Grade 12, College Preparation **or** MCR3UI - Functions, Grade 11, University Preparation **or** MCR3UP - Functions, Grade 11, University Preparation (Enriched) |

Advanced Placement Calculus | MCV4UP |

This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.
If there is sufficient student interest, the St. Mary's math department will be offering a double credit in Calculus (MCV4U) and Data Management (MDM4U) with preparation time given to an Advanced Placement examination. This double credit opportunity should be considered an enrichment opportunity and of interest to students pursuing math related university studies. Students interested in this 2 credit package will complete an independent assignment for Data Management (statistics) during the summer of 2012. The Ontario Curriculum for MCV4U will be taught first semester, 2012 and be completed at the end of semester 1 of next school year. Second semester will be the combined curriculum of Ontario's MDM 4U (Probabilty and Probability Distributions) as well as time given in preparation for an Advanced Placement Calculus A/B exam in May, 2013. It is necessary that students have access to a computer with MS Excel as well as the internet during the summer of 2012. |

**COURSE NOTE:** Students are encouraged to download a Student Application for Enriched Programmes Form from the school website and submit the completed form to guidance. |

**CREDIT:** 1 | **TYPE:** Advanced Placement | **GRADE:** 12 |

**PREREQUISITE:** Advanced Functions, Grade 12, University Preparation, must be taken prior to or concurrently with Calculus and Vectors. |

**COREQUISITES:** If you take this course, you must also take MDM4UP - Advanced Placement Mathematics of Data Management |

**CREDIT EQUIVALENTS:** MCV4UI - Calculus and Vectors is a similar course and you will not receive credit for taking both. |

Foundations for College Mathematics, Grade 12, College Preparation | MAP4CI |

This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyse data using statistical methods; solve problems involving applications of geometry and trigonometry; solve financial problems connected with annuities, budgets, and renting or owning accommodation; simplify expressions; and solve equations. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for college programs in areas such as business, health sciences, and human services, and for certain skilled trades. |

**CREDIT:** 1 | **TYPE:** College | **GRADE:** 12 |

**PREREQUISITE:** MBF3CI - Foundations for College Mathematics **or** MCF3MI - Functions and Applications, Grade 11, University/College Preparation **or** MCR3UI - Functions, Grade 11, University Preparation |

Mathematics for College Technology, Grade 12, College Preparation | MCT4CI |

This course enables students to extend their knowledge of functions. Students will investigate and apply properties of polynomial, exponential, and trigonometric functions; continue to represent functions numerically, graphically, and algebraically; develop facility in simplifying expressions and solving equations; and solve problems that address applications of algebra, trigonometry, vectors, and geometry. Students will reason mathematically and communicate their thinking as they solve multi-step problems. This course prepares students for a variety of college technology programs. |

**CREDIT:** 1 | **TYPE:** College | **GRADE:** 12 |

**PREREQUISITE:** MCF3MI - Functions and Applications, Grade 11, University/College Preparation **or** MCR3UI - Functions, Grade 11, University Preparation |

Mathematics for Work and Everyday Life, Grade 12, Workplace Preparation | MEL4EI |

This course enables students to broaden their understanding of mathematics as it is applied in the workplace and daily life. Students will investigate questions involving the use of statistics; apply the concept of probability to solve problems involving familiar situations; investigate accommodation costs, create household budgets, and prepare a personal income tax return; use proportional reasoning; estimate and measure; and apply geometric concepts to create designs. Students will consolidate their mathematical skills as they solve problems and communicate their thinking. |

**CREDIT:** 1 | **TYPE:** Workplace | **GRADE:** 12 |

**PREREQUISITE:** MBF3CI - Foundations for College Mathematics **or** MCF3MI - Functions and Applications, Grade 11, University/College Preparation **or** MCR3UI - Functions, Grade 11, University Preparation **or** MEL3EI - Mathematics for Work and Everyday Life, Grade 11, Workplace Preparation |