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

8/1/2024

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: Jumpstart with Quadratic Relations

Start your journey by exploring how quadratic relations work. You’ll collect and graph data, learning how to identify the key features of quadratic functions like the vertex and axis of symmetry. These skills are foundational for understanding how objects move through space, from sports to engineering designs.

11 Hours

Unit 2:Transforming Parabolas

Discover how to transform parabolas by manipulating different parameters. You’ll see how these mathematical transformations mirror real-world changes, like adjusting the path of a satellite or designing parabolic arches in architecture.

13 Hours

Unit 3: Cracking the Quadratic Code

Dive deep into solving quadratic equations. You’ll master techniques like factoring, completing the square, and using the quadratic formula. These problem-solving skills are essential in various fields, from finance to physics, where predicting outcomes and analyzing trends are crucial.

15Hours

Unit 4:Real-World Quadratic Problems

Apply your knowledge to real-world scenarios. This unit focuses on solving practical problems using quadratic equations, such as calculating the optimal price for a product or determining the maximum height of a projectile. Mathematics isn’t just abstract—it’s a tool for solving everyday challenges.

11 Hours

Unit 5: Graphing and Analyzing Linear Systems

Learn how to solve systems of linear equations using different methods. You’ll graph these systems and explore their intersections, which is vital in fields like economics and logistics, where multiple factors must be balanced simultaneously.

13 Hours

Unit 6: Diving into Analytic Geometry

Explore the world of analytic geometry by studying line segments and circles. You’ll apply these concepts in areas like computer graphics and GPS technology, making connections between algebra and geometry that power modern innovations.

15 Hours

Unit 7: Exploring Similarity and Trigonometry

Investigate the properties of similar triangles and apply these concepts to solve real-world problems. This unit will deepen your understanding of geometry and its applications, particularly in areas like construction, where precise measurements are key.

10 Hours

Unit 8: Mastering Right and Acute Triangles

Get to grips with trigonometric ratios and laws. You’ll learn how to solve problems involving right and acute triangles, using tools like the sine and cosine laws to find missing sides and angles—skills essential for careers in engineering, architecture, and even video game design.

10 Hours

Final Exam

Comprehensive assessment of all specific expectations covered in the course. Activities and Assessments: Cumulative final exam to assess overall understanding and application of course concepts.

20 Hours

Total Hours

120 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 students’ 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.

All OSSD courses follow a simple evaluation breakdown at our virtual high school:
70% of the grade will be based on evaluations conducted throughout the online course. The remaining 30% of the grade will be based on a final evaluation or exam. This may be a final exam, a final project/report, or a combination of both an exam and a project.

Students will receive two reports per course:

First Mid Term Report: Reflects achievement and development after the first 4 Units.

Final Report: Reflects overall achievement and development for the entire course.

According to Growing Success First Edition, Grades 1 to 12, 2010, 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, Métis, 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 school year or course and at other appropriate points throughout the school year or 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 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.

General Resources Students Should Have Access To

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).

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.

Price Detail

$500

/ 1 Course

$800

/ 2 Course

$1050

/ 3 Course

Start your learning journey with us.

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Principles of Mathematics