Grade 12 : Foundations of College Mathematics
This course enables students to broaden their understanding of real-world applications of mathematics. Students will analyze 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.
Unit Content and Courses of Delivery
Working with Data (12 hours)
In this unit, students will learn how to:
-Collect, analyze, and summarize one-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data
-Distinguish situations requiring one-variable and two-variable data analysis
-Analyze the use and misuse of data in the media
Two-variable data analysis (15 hours)
In this unit, students will learn how to:
-Collect, analyze, and summarize two-variable data using a variety of tools and strategies, and interpret and draw conclusions from the data
-Distinguish situations requiring one-variable and two-variable data analysis
-Analyze the use and misuse of data in the media
Exponentials (22 hours)
Solve exponential equations
Investigate the effects of changing parameters when investing in an annuity or a mortgage
Foundations for College Mathematics (22 hours)
Gather, interpret, and compare information about owning or renting accommodation
Prepare budgets based on possible wages connected to career choice and case studies
Collect data regarding career choice in a portfolio for use with culminating project
Geometry (23 hours)
Understand the relationships between imperial and metric units
Consolidate understanding of perimeter, area, surface area, and volume through real-life problems
Explore optimization of two-dimensional and three-dimensional figures
Trigonometry (15 hours)
Consolidate understanding of primary trigonometric ratios, sine and cosine laws for acute triangles, using imperial and/ or metric measure as appropriate.
Extend understanding of primary trigonometric ratios to include obtuse angles.
Solve problems using the sine or cosine laws for oblique triangles (non-ambiguous cases only).
CULMINATING PROJECT (7 hours)
Prepare a presentation to showcase an occupation that makes use of the material in this course, to describe the education and training needed for the occupation, and to highlight a particulate use of mathematics in this course in the occupation.
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