Dufferin-Peel CDSB - Holy Name of Mary Catholic Secondary School

MAP 4C1: FOUNDATIONS FOR COLLEGE MATHEMATICS,
COLLEGE, GRADE 12

Description:

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 Value: 1.0

Prerequisite: MBF 3C1 or MCF 3M1

Course Text: Foundations for College Mathematics 12

Replacement Cost: $85

Strand

Overall Expectations

Mathematical Models

evaluate powers with rational exponents, simplify algebraic expressions involving exponents, and solve problems involving exponential equations graphically and using common bases;
describe trends based on the interpretation of graphs, compare graphs using initial conditions and rates of change, and solve problems by modelling relationships graphically and algebraically;
make connections between formulas and linear, quadratic, and exponential relations, solve problems using formulas arising from real-world applications, and describe applications of mathematical modelling in various occupations.

Personal Finance

demonstrate an understanding of annuities, including mortgages, and solve related problems using technology;
gather, interpret, and compare information about owning or renting accommodation, and solve problems involving the associated costs;
design, justify, and adjust budgets for individuals and families described in case studies, and describe applications of the mathematics of personal finance.

Geometry & Trigonometry

solve problems involving measurement and geometry and arising from real-world applications;
explain the significance of optimal dimensions in real-world applications, and determine optimal dimensions of two-dimensional shapes and three-dimensional figures;
solve problems using primary trigonometric ratios of acute and obtuse angles, the sine law, and the cosine law, including problems arising from real-world applications, and describe applications of trigonometry in various occupations.

Data Management

collect, analyse, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data;
demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.

Other Courses:

MAT 1L1 MFM 1P1 MPM 1D1 MAT 2L1 MFM 2P1 MPM 2D1 MBF 3C1 MCF 3M1 MCR3U1 MAP 4C1 MDM 4U1 MHF 4U1 MCV 4U1

Strand	Overall Expectations
Mathematical Models	evaluate powers with rational exponents, simplify algebraic expressions involving exponents, and solve problems involving exponential equations graphically and using common bases; describe trends based on the interpretation of graphs, compare graphs using initial conditions and rates of change, and solve problems by modelling relationships graphically and algebraically; make connections between formulas and linear, quadratic, and exponential relations, solve problems using formulas arising from real-world applications, and describe applications of mathematical modelling in various occupations.
Personal Finance	demonstrate an understanding of annuities, including mortgages, and solve related problems using technology; gather, interpret, and compare information about owning or renting accommodation, and solve problems involving the associated costs; design, justify, and adjust budgets for individuals and families described in case studies, and describe applications of the mathematics of personal finance.
Geometry & Trigonometry	solve problems involving measurement and geometry and arising from real-world applications; explain the significance of optimal dimensions in real-world applications, and determine optimal dimensions of two-dimensional shapes and three-dimensional figures; solve problems using primary trigonometric ratios of acute and obtuse angles, the sine law, and the cosine law, including problems arising from real-world applications, and describe applications of trigonometry in various occupations.
Data Management	collect, analyse, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data; demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.