MAP4C
Foundations for College Mathematics
This Grade 12 college preparation mathematics course broadens students’ understanding of real-world applications of mathematics. Students analyze data, solve geometry and trigonometry problems, work with mathematical models, and solve financial problems involving annuities, mortgages, budgets and accommodation costs. The course prepares students for college programs in business, health sciences, human services and certain skilled trades.
Grade
12
Credit
1.0
Delivery
Online
Prerequisite
MBF3C or MCF3M
About This Course
This Grade 12 college preparation mathematics course broadens students’ understanding of real-world applications of mathematics. Students analyze data, solve geometry and trigonometry problems, work with mathematical models, and solve financial problems involving annuities, mortgages, budgets and accommodation costs. The course prepares students for college programs in business, health sciences, human services and certain skilled trades.
What You'll Learn
- Solve real-world measurement, geometry and trigonometry problems using metric and imperial units.
- Analyze one- and two-variable data, surveys, bias, scatter plots, correlation and lines of best fit.
- Use linear, quadratic and exponential models in occupational and everyday contexts.
- Apply exponent laws, formulas and exponential equations to practical problems.
- Solve personal-finance problems involving annuities, loans, mortgages, budgets and renting versus owning.
- Use technology, mathematical reasoning and communication to solve multi-step applied problems.
Skills You'll Develop
- Applied mathematical problem solving
- Measurement, geometry and trigonometry
- Data analysis and statistical reasoning
- Mathematical modelling
- Financial literacy and technology-supported decision making
Learning Outcomes
By the end of the course, students will be able to:
- Solve applied measurement and geometry problems and determine optimal dimensions.
- Use trigonometric ratios, the sine law and cosine law in real-world contexts.
- Collect, analyze and interpret two-variable data and evaluate data-management applications.
- Use linear, quadratic and exponential models and solve related equations and formulas.
- Solve problems involving annuities, mortgages, accommodation costs and budgets.
- Use mathematical processes to reason, represent, communicate and select appropriate tools and strategies.
Course Units
The following reflects the school’s planned organization of the course. Approximate time allocations may be adjusted while all curriculum expectations and required planned learning are maintained.
| Unit | Title / Major Learning Focus | Approx. Time |
|---|---|---|
| 1 | Measurement and Trigonometry | 30 hours |
| 2 | Data Management | 22 hours |
| 3 | Mathematical Models | 30 hours |
| 4 | Personal Finance | 22 hours |
| Review | Comprehensive Review and Exam Preparation | 4 hours |
| Final | Mandatory Written Final Examination | 2 hours |
Assessment
Assessment uses evidence gathered over time from student work, conversations and observations. The final grade for 2026–2027 is determined as follows:
| Component | Weight | How It Is Determined |
|---|---|---|
| Coursework throughout the course | 65% | Evaluation evidence gathered throughout the course, with special consideration for consistent and more recent demonstrations of achievement. |
| Mandatory written final examination | 25% | Comprehensive written final examination assessing the overall curriculum expectations. |
| Attendance and participation | 10% | Based on meaningful attendance and participation; excused absences do not negatively affect this component. |
Examples of Assessment Evidence
Evidence may include applied problem sets, measurement and geometry tasks, data investigations, graphs and statistical analysis, financial case studies, spreadsheet or calculator work, written explanations, tests, conferences and the final written examination.
Pathways
Students connect mathematical skills to college programs, apprenticeships and careers in business, health sciences, human services, construction, design, skilled trades and other fields.
Transferable skills include numeracy, problem solving, digital tool use, document use, decision making, communication and information management.
Teacher Support
- Students learn through the school's secure online learning environment and receive ongoing support from qualified teachers.
- Teacher-supported conferencing, tutorials and scheduled live support are available as appropriate.
- Teachers use applied and investigative learning connected to finance, housing, data, geometry, health sciences, business and skilled trades.
- Worked examples are followed by guided practice and increasingly independent multi-step problem solving.
- Calculators, graphing tools and spreadsheets support data analysis, exponential models, mortgages, annuities and budgets.
- Hands-on measurement, financial case studies, descriptive feedback and error analysis help students connect mathematics to practical decisions.
Frequently Asked Questions
What is the course code?
MAP4C — Foundations for College Mathematics, Grade 12, College Preparation.
What is the prerequisite?
Foundations for College Mathematics, Grade 11, College Preparation (MBF3C), or Functions and Applications, Grade 11, University/College Preparation (MCF3M).
How many credits is MAP4C?
The course is worth 1.0 Ontario secondary school credit.
What topics are covered?
Measurement and trigonometry, data management, mathematical models and personal finance.
How is the final grade calculated?
65% coursework, 25% mandatory written final examination, and 10% attendance and participation.
Does MAP4C include mortgages and budgeting?
Yes. Personal finance includes annuities, loans, mortgages, renting versus owning, living costs, savings and budgeting.
What college programs does MAP4C support?
Business, health sciences, human services, construction, design, skilled trades and other applied college programs.
Ready to Take This Course?
$549 / Credit
- Provided by CSW — Canadian School of the World
- Ontario Ministry of Education registered
- Delivered fully online
Need Help Deciding?
Not sure if this is the right course? Book a free 30-minute meeting with a CSW advisor.
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