Garde 11 Advance Functions

Online high school course

Functions 11

This course introduces the mathematical concept of the function by extending students’ experiences with linear and quadratic relations. Students will investigate properties of discrete and continuous functions, including trigonometric and exponential functions; represent functions numerically, algebraically, and graphically; solve problems involving applications of functions; investigate inverse functions; and develop facility in determining equivalent algebraic expressions. Students will reason mathematically and communicate their thinking as they solve multi-step problems.

Flexible online learning

Self-paced or live-class support

Secure checkout before enrollment

Enroll in this course

Functions 11

Choose the learning option that best fits the student.

Course price$449.00
Learning optionStandard
Total$449.00

After secure checkout, you'll complete the enrollment profile.

Not sure this is the right course?

Book a Free Graduation Review

Course information

Course details and outline

Course Details

Course Code

MPM2D

Course Type

Academic

Format

Online School Course

Prerequisite

MPM1D or MFM1P

Department

Mathematics

Course Title

Principles of Mathematics

Grade

Grade 10

Credit Value

1.0

Overall Curriculum Expectations

Quadratic Relations of the Form y = ax2 + bx + c

By the end of this course the student will:

  • Determine the basic properties of quadratic relations.
  • Relate transformations of the graph of y = x2 to the algebraic representation y = a (x – h)2 + k.
  • Solve quadratic equations and interpret the solutions with respect to the corresponding relations.
  • Solve problems involving quadratic relations.

Analytic Geometry

By the end of this course the student will:

  • Model and solve problems involving the intersection of two straight lines.
  • Solve problems using analytic geometry involving properties of lines and lines segments.
  • Verify geometric properties of triangles and quadrilaterals, using analytic geometry.

Trigonometry

By the end of this course the student will:

  • Use their knowledge of ratio and proportion to investigate similar triangles and solve problems related to similarity.
  • Solve problems involving right triangles, using the primary trigonometric ratios and the Pythagorean theorem.
  • Solve problems involving acute triangles, using the sine law and the cosine law.

Outline of Course Content

Unit

Title

Time

1

Linear Systems

13 hours

2

Analytic Geometry

11 hours

3

Geometric Properties

14 hours

4

Quadratic Relations

15 hours

5

Quadratic Expressions

15 hours

6

Quadratic Equations

15 hours

7

Trigonometry of Right Triangles

13 hours

8

Trigonometry of Acute Triangles

12 hours

Final Examination

2 hours

Total

110 hours

Related Courses

Grade 11 Physics

Grade 11 Courses

Physics 11

SPH3U

This course develops students’ understanding of the basic concepts of physics. Students will explore kinematics, with an emphasis on linear motion; different kinds of forces; energy transformations; the properties of mechanical waves and sound; and electricity and magnetism. They will enhance their scientific investigation skills as they test laws of physics. In addition, they will analyse the interrelationships between physics and technology, and consider the impact of technological applications of physics on society and the environment.

Base tuition

$449 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review
Grade 11 Computer Science

Grade 11 Courses

Computer Science 11

ICS3U

This course introduces students to computer science. Students will design software independently and as part of a team, using industry-standard programming tools and applying the software development life-cycle model. They will also write and use subprograms within computer programs. Students will develop creative solutions for various types of problems as their understanding of the computing environment grows. They will also explore environmental and ergonomic issues, emerging research in computer science, and global career trends in computer-related fields.

Base tuition

$449 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review
Grade 11 Chemistry

Grade 11 Courses

Chemistry 11

SCH3U

Our Grade 11 Chemistry course enables students to deepen their understanding of chemistry through the study of the properties of chemicals and chemical bonds; chemical reactions and quantitative relationships in those reactions; solutions and solubility; and atmospheric chemistry and the behaviour of gases. Students will further develop their analytical skills and investigate the qualitative and quantitative properties of matter, as well as the impact of some common chemical reactions on society and the environment.

Base tuition

$449 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review
biology-11

Grade 11 Courses

Biology 11

This course furthers students’ understanding of the processes that occur in biological systems. Students will study theory and conduct investigations in the areas of biodiversity; evolution; genetic processes; the structure and function of animals; and the anatomy, growth, and function of plants. The course focuses on the theoretical aspects of the topics under study, and helps students refine skills related to scientific investigation.

Base tuition

$499 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review
Grade 11 English

Grade 11 Courses

English 11

ENG3U

This course emphasizes the development of literacy, communication, and critical and creative thinking skills necessary for success in academic and daily life. Students will analyse challenging literary texts from various periods, countries, and cultures, as well as a range of informational and graphic texts, and create oral, written, and media texts in a variety of forms. An important focus will be on using language with precision and clarity and incorporating stylistic devices appropriately and effectively. The course is intended to prepare students for the compulsory Grade 12 university or college preparation course.

Base tuition

$449 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review
Designing Your Future 11

Grade 11 Courses

Designing Your Future 11

GWL3O

This course GWL3O prepares students to make successful transitions to post-secondary destinations as they investigate specific post-secondary options based on their skills, interests, and personal characteristics. Students will explore the realities and opportunities of the workplace and examine factors that affect success, while refining their job-search and employability skills. Students will focus their portfolios on their targeted destination and develop an action plan for future success

Base tuition

$449 CAD

International students: +$200 support & compliance fee per course

View CourseNot sure? Book Free Review