MAP4C1 OUTLINE
Grade 12 - Foundations for College Mathematics
College Heights Secondary School
OVERALL EXPECTATIONS
GEOMETRY AND TRIGONOMETRY
By the end of this course, students will:
• 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.
MATHEMATICAL MODELS
By the end of this course, students will:
• 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
By the end of this course, students will:
• 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.
DATA MANAGEMENT
By the end of this course, students will:
• 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.
COURSE TIMELINES
Unit
Title
Time
Unit
Title
Time
1
Trigonometry
11 classes
6
Measurement and Geometry
11 classes
2
Graphical Models
11 classes
7
Two-Variable Statistics
10 classes
3
Algebraic Models
11 classes
8
Apply Data Management
10 classes
4
Annuities and Mortgages
10 classes
9
Final Examination Review
4 classes
5
Budgeting
10 classes
Total Time: 88 classes
EACH UNIT
Categories: Every category is given a grade for each evaluation in the following ratio.
Application - 30%
Knowledge & Understanding - 30%
Thinking, Inquiry, & Problem Solving - 20%
Communication - 20%
Accommodations:
• Assignments and tests are designed with space, table, and grids provided for answers to be written
(no lined paper required).
• Assignment collaboration is encouraged provided written solutions are unique.
• Assignments may be submitted at any time leading up to the final examination.
• Tests may be completed during the lunch break of the next day if necessary.
• Under certain conditions, assignments and tests may be written in an academic resource room with
one-to-one teacher’s aid.
Formative Assessment in the Unit:
• On-going informal assessment is taking place throughout the class as students work on their
assignments.
Unit Evaluation: Assignment Marks:
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
Test Mark:
Total converted to mark out of
12
12
8
8
40%
Converted to mark out of
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
18
18
12
12
60%
Unit Mark = Assignment Mark out of 40 + Test Mark out of 60
Course Evaluation: Midterm Mark: The average of the unit marks completed to that point.
Final Mark:
Total of Unit Marks
Final Examination Mark:
Application
Knowledge & Understanding
Thinking, Inquiry, & Problem Solving
Communication
Total converted to mark out of
70
9
9
6
6
100%