Curriculum Coordinator and Learning Strategist

Dr. Karen McCloskey

MA, PhD, QM Quality Matters

MAP4C

Grade 12

College Preparation

Foundations for College Mathematics

Find additional course details below, including delivery format, course availability, course duration, prerequisite, tuition fee, hardware/software requirements, etc.

MAP4C

Grade 12

College Preparation

Foundations for College Mathematics

Find additional course details below, including delivery format, course availability, course duration, prerequisite, tuition fee, hardware/software requirements, etc.

Course Details

Course Code

MAP4C

Course Name

Foundations for College Mathematics

Grade

Grade 12

Course Type

College Preparation

Format

Asynchronous Delivery

Prerequisite

Foundations for College Mathematics, Grade 11, College Preparation (MBF3C), or Functions and Applications, Grade 11, University/College Preparation (MCF3M)

Tuition Fee

$500.00

Course Duration

At Your Own Pace (4 weeks to 6 months)

Credit Value

1.0

Availability

Start Anytime

Course Reviser/Developer

Dr. Karen McCloskey

Latest Revision Date

September 2026

Curriculum

The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (Revised)

Course Description, Unit Overview, Timeline

This course prepares students for college programs and workplace pathways by strengthening practical mathematical skills in modelling, personal finance, geometry, trigonometry, and data management. Students will solve exponential equations, compare mathematical models, analyse financial decisions involving annuities, mortgages, renting, owning, and budgeting, and apply measurement and trigonometric reasoning to real-world problems. They will also collect, organize, graph, and interpret two-variable data and evaluate how statistics are used in the media and advertising. Throughout the course, students will use technology such as Desmos, spreadsheets, a scientific calculator, and a TVM Solver to explore, calculate, verify, and communicate mathematical ideas.

Outlined below is a description of each unit, including what students will learn and the recommended hours for completion.

Unit Title & Description

Time Allocated

Unit 1: Mathematical Models

Students explore how mathematics can model real-world situations. They begin with exponent laws and rational exponents, then solve exponential equations using graphs, tables of values, technology, and common bases. Students also interpret and compare linear, quadratic, and exponential relationships, examine rates of change, select appropriate models from data, and apply formulas to solve multi-step problems connected to occupations and practical contexts.

20 Hours

Unit 2: Unit 2: Personal Finance

Students apply mathematics to important financial decisions involving saving, borrowing, housing, and budgeting. They use a TVM Solver to work with annuities and mortgages, interpret amortization tables, compare the full costs of renting and owning accommodation, and design, justify, and adjust a monthly household budget. This unit emphasizes real-world decision-making and financial responsibility.

30 Hours

Unit 3: Geometry and Trigonometry

Students apply measurement, geometry, and trigonometry to real-world problems. They convert between metric and imperial units, calculate areas, volumes, and surface areas of composite figures, and investigate optimal dimensions to maximize area or volume or minimize material. Students also use primary trigonometric ratios, obtuse-angle values, the sine law, and the cosine law to solve non-ambiguous triangle problems in applied contexts.

25 Hours

Unit 4: Data Management

Students investigate two-variable data and how it can be used to support or question real-world claims. They design surveys and experiments, collect and organize data, create scatter plots, determine lines of best fit, and use models to interpolate and extrapolate. Students also examine how statistics can be used or misused in media, advertising, and occupations, developing the critical literacy needed to evaluate data-based claims.

20 Hours

Final Exam/Culminating Task

Students review and consolidate learning from all four units as they prepare for the final assessments. They complete a culminating task involving an integrated problem set and video explanation, then complete the proctored final exam. This section supports independent review, reflection, and preparation across all course expectations

15 Hours

Total Hours

110 Hours

Teaching and Learning Strategies

At Royal Ontario Academy, our asynchronous, self-paced courses are crafted to engage students actively, encouraging deep learning and self-reflection. Our online OSSD courses are normally divided into 8-10 smaller sections to help students learn content in manageable portions. Lessons connect concepts to practical, relatable social, environmental, and economic issues, fostering lifelong learning by helping students apply knowledge to real-life contexts.

Students are encouraged to explore, investigate, and think critically as they progress independently. This approach emphasizes problem-solving skills, guiding students to persist through challenges, reason through complex ideas, and explore alternative solutions on their own, building resilience and independence essential for success beyond the classroom.

Our virtual high school courses provide a variety of learning experiences through virtual labs, simulations, knowledge checks, reflections, and videos. Interactive activities and discussion forums are designed to draw on students’ prior knowledge, keeping them engaged and actively participating. These tools enable OSSD students to practice, reflect, and apply concepts flexibly at their own pace, creating a personalized learning journey tailored to each student’s interests and goals.

Assessment and Evaluation

A wide variety of assessment and evaluation tools will be used to earn credits towards the Ontario Secondary School Diploma at Royal Ontario Academy, including quizzes, tests, projects, essays, journals, and final assessments. The final exam is a closed-book, online test that is proctored and has a time limit. Students may also be required to appear on video for other assessments in certain courses.

At Royal Ontario Academy, the final mark in every course is made up of three parts:

65% is based on coursework completed throughout the online course.
25% is based on a final evaluation.
10% is based on attendance and participation, reflecting consistent weekly engagement with the course.

Depending on the course, the final evaluation may be a proctored written exam, a culminating task such as a project, essay, or presentation, or a combination of both. Attendance and participation reflects how consistently a student engages with their learning each week, and excused absences approved by the Principal do not lower this part of the mark.

Students will receive two reports per course:

First Report (Midterm): Issued when the student reaches the halfway point of the course. It reflects achievement and development to that point, including attendance and participation.
Final Report: Reflects overall achievement and development for the entire course, including attendance and participation.

This course follows the current Growing Success requirements, including the mandatory assessment and evaluation updates that take effect in the 2026-2027 school year. According to Growing Success: Assessment, Evaluation, and Reporting in Ontario Schools, the primary purpose of assessment and evaluation is to improve student learning. To ensure that assessment, evaluation, and reporting are valid and reliable, and that they lead to the improvement of learning for all students, Royal Ontario Academy teachers use practices and procedures that:

are fair, transparent, and equitable for all students;
support all students, including those with special education needs, those who are learning the language of instruction (English or French), and those who are First Nation, Metis, or Inuit;
are carefully planned to relate to the curriculum expectations and learning goals and, as much as possible, to the interests, learning styles and preferences, needs, and experiences of all students;
are communicated clearly to students and parents at the beginning of the course and at other appropriate points throughout the course;
are ongoing, varied in nature, and administered over a period of time to provide multiple opportunities for students to demonstrate the full range of their learning;
provide ongoing descriptive feedback that is clear, specific, meaningful, and timely to support improved learning and achievement;
develop students’ self-assessment skills to enable them to assess their own learning, set specific goals, and plan next steps for their learning.

Accommodations and IEP for Students

At Royal Ontario Academy, we believe that all OSSD students can benefit from a more accommodating online learning experience Accommodations allow for increased access to the course, without any changes to the knowledge and skills the student is expected to demonstrate.

An Individual Education Plan (IEP)is a personalized document that outlines a student’s learning needs, as well as the accommodations or services they require to succeed in their courses. At Royal Ontario Academy, our flexible online learning environment already addresses many common accommodation needs, but if a student requires additional support, our Principal is ready to help you!

– Students with Existing IEP: If a student has an existing IEP from another elementary or secondary school, Royal Ontario Academy can implement the listed accommodations, provided they are applicable within our online learning environment. To do so, a copy of the student’s IEP must be submitted to our Principal for review.

– Students Without IEP: If a student requires accommodations but does not currently have an IEP, our Principal will work with the student to assess their learning needs and develop a path forward. In this case, students will need to submit supporting documentation to help determine the appropriate accommodations.

– English Language Learners:– English Language Learners: Students who enroll at Royal Ontario Academy can provide information about their English language proficiency during the registration process. This information helps our teachers and Principal to tailor their teaching strategies and implement accommodations that support English language learners effectively.

For students and parents wishing to submit IEP documentation or request accommodations, please contact our Principal at info@royalontarioacademy.com

Resources Required by the Student

Students should have the following minimum hardware and software requirements to access the Foundations for College Mathematics
Minimum Technical Specifications

Hardware

A PC running Windows XP or higher or
A Mac running OS X or
A Chromebook running Chrome OS
2GB of RAM
High speed internet connection
A sound card with speakers or headphones
A functional webcam and microphone

Software

Adobe Reader
Java
A typical Office Suite including a word processor application, equation editor and spreadsheets

Browser

Mozilla Firefox4 or higher or
Internet Explorer 7 or higher or
Safari 5 or higher or
Google Chrome 11 or higher
In some cases, a scanner or phone/camera may be used to submit handwritten assignments.

Do students need any additional resources (i.e. textbooks)?

Every student in a virtual high school needs access to a desktop computer or laptop with high-speed internet and word processing software.

Any additional course-specific resources (i.e., calculators, software downloads, etc.) are listed on the individual course outline pages on our website.

All Royal Ontario Academy online course content is contained within our moodle learning management system, so no textbooks are required. For English courses and some social science/humanities courses, students may be required to locate copies of novels and plays that are readily available at public libraries or bookstores.

Frequently Asked Questions (FAQs)

Canadian Course Pricing

$500

/ 1 course

$900

/ 2 courses

$1275

/ 3 courses

Start your learning journey with us.

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Foundations for College Mathematics