Curriculum Coordinator and Learning Strategist

Cheryl Richardson

B.Sc., OCT

MPM2D

Grade 10

University Preparation

Principles of Mathematics

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

MPM2D

Grade 10

University Preparation

Principles of Mathematics

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

Course Details

Course Code

MPM2D

Course Name

Principles of Mathematics

Grade

Grade 10

Course Type

University Preparation

Format

Asynchronous Delivery

Prerequisite

Principles of Mathematics, Grade 9, Academic

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

8/1/2025

Curriculum

Invalid Link

Course Description, Unit Overview, Timeline

This course enables students to broaden their understanding of relationships and extend their problem-solving and algebraic skills through investigation, the effective use of technology, and abstract reasoning. Students will explore quadratic relations and their applications; solve and apply linear systems; verify properties of geometric figures using analytic geometry; and investigate the trigonometry of right and acute triangles. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Prerequisite: Principles of Mathematics, Grade 9, Academic

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: Investigating Quadratic Relations

Begin your exploration of quadratic relationships by collecting and graphing data to observe patterns that form parabolas. You will investigate key features of quadratic graphs, including the vertex, axis of symmetry, and intercepts. Through hands-on investigations and technology-based graphing tools, you will explore how transformations affect quadratic functions and how these models can represent real-world motion and patterns.

22 Hours

Unit 2: Solving and Applying Quadratic Equations

Build on your understanding of quadratic relations by learning multiple strategies for solving quadratic equations. You will practice factoring, completing the square, and using the quadratic formula to find solutions. Throughout the unit, these algebraic methods will be applied to real-world problems such as projectile motion, optimization, and financial modeling, helping you see how quadratic mathematics is used to analyze and predict outcomes.

24 Hours

Unit 3: Linear Systems

Explore how multiple relationships can interact by studying systems of linear equations. You will learn to solve systems using graphical and algebraic methods such as substitution and elimination. These tools will allow you to model situations where different variables interact, including financial decisions, mixture problems, and other real-world scenarios where multiple conditions must be satisfied simultaneously.

18 Hours

Unit 4: Analytic Geometry

Discover how algebra and geometry connect through coordinate geometry. You will investigate the distance and midpoint between points, explore equations of circles, and analyze the properties of line segments. Using algebraic reasoning, you will verify geometric relationships and develop strategies to prove properties of triangles and quadrilaterals in the coordinate plane.

18 Hours

Unit 5: Trigonometry

Develop your understanding of triangles by exploring similarity and trigonometric relationships. You will learn how ratios such as sine, cosine, and tangent describe relationships between angles and sides of triangles. Building on these ideas, you will solve problems involving right and acute triangles using the sine and cosine laws and apply these techniques to real-world contexts such as navigation, surveying, and engineering design.

20 Hours

Final Exam/Culminating Task

Consolidate your learning by reviewing the major mathematical concepts explored throughout the course. You will revisit quadratic relations, systems of equations, analytic geometry, and trigonometry through practice activities and review tasks designed to strengthen your understanding. This unit will prepare you for the final exam, where you will demonstrate your ability to apply mathematical reasoning and problem-solving strategies to a variety of situations.

8 Hours

Total Hours

110 Hours

Teaching and Learning Strategies

Teaching and Learning Strategies

Problem Solving: Engage students in solving real-world math problems, like optimizing designs or calculating trajectories, to demonstrate the practical applications of quadratic equations and trigonometry.
Technology Integration: Use tools like Desmos and GeoGebra to help students visualize and interact with mathematical concepts, making functions and transformations more understandable.
Direct Instruction: Provide clear, step-by-step explanations of key math concepts, supported by visual aids and diagrams. Use platforms like Khan Academy for additional instructional support.
Inquiry-Based Learning: Encourage students to explore mathematical concepts by posing open-ended questions that lead to the discovery of relationships and patterns, particularly in graphing and solving equations.
Manipulatives: Incorporate online tools like Mathigon’s algebra tiles to help students visualize polynomial operations and understand the geometric implications of algebraic expressions.
Contextual Learning: Relate mathematical concepts to real-world contexts, such as using quadratic functions to model financial scenarios or using trigonometry in navigation and architecture.
Scaffolded Instruction: Break down complex problems, such as solving quadratic equations or applying the sine law, into manageable steps, gradually reducing support as students gain confidence.
Visual Aids: Use diagrams, graphs, and interactive simulations to reinforce understanding of trigonometric and geometric concepts, helping students visualize abstract ideas.
Self-Assessment and Reflection: Incorporate regular self-assessment and reflection activities, allowing students to monitor their progress and understand areas for improvement.
Collaborative Learning through AI: Utilize AI tools for instant feedback on calculations and problem-solving, enabling students to learn independently and refine their skills without needing peer collaboration.

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. We believe that following these guidelines is essential for fostering a supportive and effective learning environment. Our goal is to provide varied and meaningful opportunities for students to demonstrate their learning, receive constructive feedback, and develop self-assessment skills.

Key Principles of Assessment and Evaluation:

Fairness, Transparency, and Equity:
- Assessments and evaluations are designed to be fair, transparent, and equitable for all students, ensuring that every student has an equal opportunity to succeed.
Support for All Students:
- Our assessment practices are inclusive, supporting all students, including those with special education needs, English language learners, and Indigenous students.
Curriculum Alignment:
- Assessments are carefully planned to align with curriculum expectations and learning goals. They also take into consideration the interests, learning styles, needs, and experiences of all students.
Clear Communication:
- Assessment criteria and expectations are communicated clearly to students and parents at the beginning of the course and revisited at key points throughout the year.
Ongoing and Varied Assessments:
- Assessments are ongoing and varied in nature, allowing multiple opportunities for students to demonstrate the full range of their learning over time.
Descriptive Feedback:
- Students receive ongoing descriptive feedback that is clear, specific, meaningful, and timely. This feedback supports improved learning and achievement by helping students understand their strengths and areas for improvement.
Development of Self-Assessment Skills:
- We aim to develop students’ self-assessment skills, enabling them to reflect on their learning, set specific goals, and plan next steps.

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 students’ 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 students’ 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

General Resources Students Should Have Access To

Spreadsheet Application: Google Sheets for data analysis and visualization.
Presentation Application: Google Slides for creating presentations.

Optional Resources

Graphing Calculator: For complex data analysis tasks. Online alternatives include Desmos or GeoGebra.
Additional Online Tutorials: Access to supplementary materials on mathematical concepts and problem-solving (e.g., Khan Academy and YouTube).

Online Tools and Platform Access Provided by Royal Ontario Academy Virtual High School

Desmos: For graphing and exploring mathematical functions. Available at Desmos.
GeoGebra: For dynamic mathematics visualization and exploration. Available at GeoGebra.

Textbook

Free Mathematics Textbook: OpenStax Algebra and Trigonometry provides comprehensive coverage of algebraic and trigonometric concepts relevant to the course.

Additional Resources for Math Students

Mathematics Career Information:
- WeUseMath.org: Explains how math is used in various careers, with examples across different fields. Visit WeUseMath.org.
Math Practice and Enrichment:
- Purplemath: Offers free resources for algebra and related subjects, including lessons, worksheets, and tutorials. Available at Purplemath.
- IXL: A subscription-based platform offering a comprehensive range of math practice activities across various topics. Limited free access is available. Visit IXL.
- Brilliant.org: Provides interactive problem-solving opportunities and courses on various math topics. Explore at Brilliant.org.
Math Competitions and Challenges:
- Canadian Mathematical Society (CMS) Competitions: Includes the Gauss, Pascal, Cayley, and Fermat competitions, offering opportunities for Canadian students to challenge themselves and test their math skills. Learn more at CMS Competitions.
Exploring Math in Daily Life:
- Coolmath.com: An interactive site that helps students see the application of math in games, puzzles, and other engaging activities. Visit Coolmath.
- Mathigon: Provides interactive math lessons, visualizations, and puzzles that connect math concepts to real-world applications. Access it at Mathigon.

Frequently Asked Questions (FAQs)

1. What is MPM2D?
MPM2D is a Grade 10 Principles of Mathematics course at University Preparation level.

2. What are 2D – (eg: 2D in AWQ2D (MPM2D))
2D for the MPM2D refers to the grade level and the course type. 3 refers to the 9th Grade and the second digit refers to the University Preparation course type.

3. What is the prerequisite for MPM2D?
The prerequisite for Principles of Mathematics is Principles of Mathematics, Grade 9, Academic

4. How long does it take to complete the MPM2D online course?
The completion of the MPM2D course varies depending on the availability and pace of each student. However, the course can be completed in minimum of 4 weeks to maximum of 12 months.

5. Will my marks be sent directly to OUAC or OCAS?
Yes. We can send your MPM2D online course marks to OUAC (Ontario University’ Application Centre) or OCAS (Ontario College Application Service).

6. How lessons are delivered for the MPM2D?
At Royal Ontario Academy, course learning is asynchronously delivered for the MPM2D in various formats such as videos, question and answers, interactive tools, written notes, simulations, presentations, and external websites/links depending on the subject material of the course.

7. What is the withdrawal policy?
For students registered in Grade 9 and 10 courses, withdrawals can be made at any time and are not recorded on the Ontario Student Transcript (OST).
For students registered in Grade 10 and 12 courses, withdrawals made within 5 days of the issuance of the first (mid-term) report card from Royal Ontario Academy will result in the mark not being recorded on the Ontario Student Transcript (OST). Withdrawals after 5 days of the issuance of the first (mid term) report card will result in a “”””W”””” being entered in the “”””Credit”””” column of the OST, along with the mark at the time of withdrawal.

8. What is the due date of my course?
Since your course is self-paced, there are no set due dates, allowing you to progress at your own speed. However, please be mindful of any deadlines for university or college applications.

9. Can I earn my OSSD (Ontario secondary school diploma) credits through online courses?
Yes, you can earn your Ontario Secondary School Diploma (OSSD) credits fully online through Royal Ontario Academy. To earn OSSD credits, you will need to complete 30 credits (18 compulsory and 12 optional), pass the Ontario Secondary School Literacy Test, and fulfill 40 hours of community involvement.

Course Pricing

$500

/ 1 course

$900

/ 2 courses

$1275

/ 3 courses

Start your learning journey with us.

Related Courses

Drama

ADA2O

Grade 10

English

ENG2D

Grade 10

Information & Communication Technology in Business

BTT2O

Grade 10

We're Here to Help

Thank you for reaching us.

Principles of Mathematics