MHF4U - Advanced Functions Course
Our MHF4U course, also known as Advanced Functions, is designed for students who wish to deepen their understanding of advanced mathematical concepts. This course is essential for those planning to pursue post-secondary studies in mathematics, science, engineering, or related fields. Below you’ll find all the details about the MHF4U course, including course content, objectives, pricing, and enrollment information.
Course Overview
MHF4U is a senior-level mathematics course that focuses on advanced functions and their applications. This course builds on fundamental concepts from previous mathematics courses and introduces students to more complex functions and their properties. The goal is to prepare students for calculus and other higher-level math courses.
Key Learning Objectives
In the MHF4U course, students will:
- Understand Advanced Functions: Study polynomial, rational, and trigonometric functions, as well as their properties and applications.
- Analyze Graphs: Learn to analyze and interpret the graphs of advanced functions, including transformations and asymptotic behavior.
- Solve Complex Equations: Develop techniques for solving complex equations and inequalities involving advanced functions.
- Explore Applications: Apply advanced function concepts to real-world problems and scenarios, enhancing problem-solving skills.
- Prepare for Calculus: Build a strong foundation in advanced functions to facilitate a smooth transition to calculus and other higher-level mathematics courses.
Course Content
The MHF4U course covers the following main topics:
Polynomial Functions
Study polynomial functions, their graphs, zeros, and properties. Learn to solve polynomial equations and apply these concepts to real-world problems.
Rational Functions
Analysis of rational functions, including their graphs, asymptotes, and applications. Understand how to solve rational equations and inequalities.
Trigonometric Functions
Exploration of trigonometric functions, including their properties, graphs, and applications. Study trigonometric identities and equations.
Exponential and Logarithmic Functions
Deep dive into exponential and logarithmic functions, their properties, and applications. Learn to solve exponential and logarithmic equations.
Function Operations
Study operations involving functions, including composition and inversion. Learn to combine and manipulate functions to solve complex problems.
Applications of Functions
Apply advanced function concepts to real-world scenarios, including optimization and modeling.
Course Structure
Duration
The MHF4U course is typically offered over a full academic year, with classes held [specify frequency, e.g., daily, weekly].
Format
The course combines theoretical lessons with practical exercises, including problem-solving activities and group projects.
Assessment
Students are assessed through quizzes, tests, assignments, and a final examination. Regular feedback is provided to track progress and improve understanding.
Pricing
- Standard Price: $550 per course
- Promotional Price: $450 per course for students who register by August 20th, 2024
Enrollment and Requirements
To enroll in the MHF4U course, students should meet the following prerequisites:
- Prerequisite: Completion of MCR3U (Functions) or an equivalent course.
- Enrollment: Interested students can enroll by contacting our admissions office or filling out our Enrollment Form.
Why Choose High Grade Academy?
At High Grade Academy, we are committed to providing an exceptional learning experience led by skilled and dedicated instructors. Our approach ensures that students not only grasp advanced mathematical concepts but also develop the critical thinking and problem-solving skills needed for future academic success.
Experienced Faculty
Learn from qualified instructors who bring real-world experience and expertise to the classroom.
Interactive Learning
Engage in interactive lessons and hands-on activities that make learning engaging and effective.
Supportive Environment
Receive personalized attention and support to help you succeed in your mathematical studies.
Ready to advance your mathematical skills with the MHF4U course? Contact High Grade Academy today to learn more and enroll.
Unit Order | Unit Name | Suggested Time |
---|---|---|
Unit 0 | Prerequisite Review of Concepts | 5 Hours |
Unit 1 | Introduction to Functions | 15 Hours |
Unit 2 | Algebraic Expressions | 13 Hours |
Mid Semester Point | ||
Unit 3 | Quadratic Functions | 20 Hours |
Unit 4 | Exponential Functions | 15 Hours |
Unit 5 | Functions & Applications of Trig | 25 Hours |
Unit 6 | Discrete Functions | 15 Hours |
FINAL | Final Exam | 2 Hours |
View Sample Gradebook Total | 110 Hours |
Please be aware that, as per Ministry guidelines, OVS has a mandatory minimum requirement of 14 days enrollment for students to be eligible for a midterm report card and 28 days enrollment to be eligible for a final report card.
As summarized in Growing Success 2010, the primary purpose of assessment and evaluation is to improve student learning. Information gathered through assessment helps teachers to determine students’ strengths and weaknesses in their achievement of the curriculum expectations in each course.
This information also serves to guide teachers in adapting curriculum and instructional approaches to students’ needs and in assessing the overall effectiveness of programs and classroom practices. As part of assessment, teachers provide students with descriptive feedback that guides their efforts towards improvement. Evaluation refers to the process of judging the quality of student work on the basis of established criteria, and assigning a value to represent that quality. All curriculum expectations must be accounted for in instruction, but evaluation focuses on students’ achievement of the overall expectations.
A students’ achievement of the overall expectations is evaluated on the basis of his or her achievement of related specific expectations. Teachers will use their professional judgement to determine which specific expectations should be used to evaluate achievement of overall expectations, and which ones will be covered in instruction and assessment but not necessarily evaluated. In order to ensure that assessment and evaluation are valid and reliable, and that they lead to the improvement of student learning, teachers must use assessment and evaluation strategies that:
- Address both what students learn and how well they learn
- Are based both on the categories of knowledge and skills and on the achievement level descriptions given in the achievement chart
- Are varied in nature, administered over a period of time, and designed to provide opportunities for students to demonstrate the full range of their learning
- Are appropriate for the learning activities used, the purposes of instruction, and the needs and experiences of the students
- Are fair to all students
- Accommodate students with special education needs, consistent with the strategies outlined in their Individual Education Plan
- Accommodate the needs of students who are learning the language of instruction
- Ensure that each student is given clear directions for improvement
- Promote students’ ability to assess their own learning and to set specific goals
- Include the use of samples of students’ work that provide evidence of their achievement
- Are communicated clearly to students and parents at the beginning of the school year and at other appropriate points throughout the school year.
The achievement chart outlines four categories of knowledge and skills. They include; knowledge and understanding, thinking, communication and application. Teachers will ensure that student work is assessed and/or evaluated in a balanced manner with respect to the four categories, and that achievement of particular expectations is considered within the appropriate categories. A final grade is recorded for this course, and a credit is granted and recorded for this course if the student’s grade is 50% or higher. The final grade for this course will be determined as follows:
- Seventy percent of the grade will be based on evaluations conducted throughout the course. This portion of the grade should reflect the student’s most consistent level of achievement throughout the course, although special consideration should be given to more recent evidence of achievement.
- Thirty percent of the grade will be based on a final evaluation and administered towards the end of the course.
All students can succeed. Some students are able, with certain accommodations, to participate in the regular course curriculum and to demonstrate learning independently. Accommodations allow access to the course without any changes to the knowledge and skills the student is expected to demonstrate. The accommodations required to facilitate the student’s learning can be identified by the teacher, but recommendations from a School Board generated Individual Education Plan (IEP) if available can also be consulted. Instruction based on principles of universal design and differentiated instruction focuses on the provision of accommodations to meet the diverse needs of learners.
Examples of accommodations (but not limited to) include:
- Adjustment and or extension of time required to complete assignments or summative tasks
- Providing alternative assignments or summative tasks
- Use of scribes and/or other assistive technologies
- Simplifying the language of instruction
Teachers will bring additional resources and teaching materials that provide a rich and diverse learning environment. Units in this course profile make specific reference to the intended textbook for this course but can be substituted for any relevant and approved text.
- Speijer, Jacob. McGraw-Hill Ryerson Functions 11. Toronto: McGraw-Hill Ryerson, 2009.
- Small, Marian. Nelson Functions 11. Toronto: Nelson Education, 2008.
Reference: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised) Ministry of Education of Ontario
Ontario Secondary School Diploma (OSSD) Requirements for all course.
Frequently Asked Questions
Prerequisite: MPM2D, Grade 10 Principles of Mathematics
Click here for more information on Ontario secondary curriculum and their prerequisites
At Ontario Virtual School (OVS) you can complete an online highschool credit courses as quickly as 4 weeks, or take as long as 12 months.