Curriculum Coordinator and Learning Strategist

Dr. Karen McCloskey

MA, PhD, QM Quality Matters

MAP4C

Grade 12

University 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

University 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

University 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 12 months)

Credit Value

1.0

Availability

Start Anytime

Course Reviser/Developer

Dr. Karen McCloskey

Latest Revision Date

September 2026

Curriculum

MAP4C – 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.

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

Assessment and Evaluation

Our approach to assessment and evaluation is grounded in the principles outlined in the Ontario Ministry of Education’s Growing Success document.

Key Principles

Fairness, Transparency, Equity: Clear success criteria; varied demonstrations of learning (performance, design, written/visual artifacts).
Support for All Students: Inclusive rehearsal and performance practices for students with special education needs, English language learners, and Indigenous learners.
Curriculum Alignment: All assessments anchor to A–C Drama strands and roles across theatre (performer, designer/technician, director, dramaturg).
Clear Communication: Criteria shared up front and revisited at scene pitches, design checkpoints, and rehearsal notes.
Ongoing & Varied: Observation, conversation, and product (e.g., in-role work, scene runs, design/tech labs, cue sheets, notes).
Descriptive Feedback: Timely, specific, strengths/next steps tied to the creative/critical analysis processes.
Student Self-Assessment: Rehearsal journals, director’s notes, design reflections, peer feedback logs, and post-show talkbacks.

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)

Course Pricing

$500

/ 1 course

$850

/ 2 courses

$1200

/ 3 courses

Start your learning journey with us.

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Foundations for College Mathematics