EduXperience Associates Canada Inc. | 1110 Finch Ave West, Unit #406, Toronto, ON, M3J 2T2, CA

## The World is Big.Study Abroad and Experience it!

Tutoring Club provides the resources and opportunity for every student to increase confidence and achieve success at University/College! Best of luck with your studies!

#### Get started!

High school and university life differ significantly in many ways. We advise today’s high school students to prepare themselves emotionally as well as academically much before they start at University/College. Practice in advance will give you a competitive edge, ensure you are coming to University classes prepared, and allow you to spend more of your time tending to upcoming tests/quizzes/assignments.

## Math Courses

#### Grade 12 Data Management (University) Breakdown

Counting and Probability

Solve problems involving the probability of an event or a combination of events for discrete sample spaces; Solve problems involving the application of permutations and combinations to determine the probability of an event.

Probability Distributions

Demonstrate an understanding of discrete probability distributions, represent them numerically, graphically, and algebraically, determine expected values, and solve related problems from a variety of applications;

Demonstrate an understanding of continuous probability distributions, make connections to discrete probability distributions, determine standard deviations, describe key features of the normal distribution, and solve related problems from a variety of applications.

Organization of Data for Analysis

Demonstrate an understanding of the role of data in statistical studies and the variability inherent in data, and distinguish different types of data;

Describe the characteristics of a good sample, some sampling techniques, and principles of primary data collection, and collect and organize data to solve a problem.

Statistical Analysis

Analyse, interpret, and draw conclusions from one-variable data using numerical and graphical summaries;

Analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries;Demonstrate an understanding of the applications of data management used by the media and the advertising industry and in various occupations.

Culminating Data Management Investigation

Design and carry out a culminating investigation that requires the integration and application of the knowledge and skills related to the expectations of this course;

Communicate the findings of a culminating investigation and provide constructive critiques of the investigations of others.

Exponential and Logarithmic Functions

Demonstrate an understanding of the relationship between exponential expressions and logarithmic expressions, evaluate logarithms, and apply the laws of logarithms to simplify numeric expressions;

Identify and describe some key features of the graphs of logarithmic functions, make connections among the numeric, graphical, and algebraic representations of logarithmic functions, and solve related problems graphically;

Solve exponential and simple logarithmic equations in one variable algebraically, including those in problems arising from real-world applications.

Trigonometric Functions

Demonstrate an understanding of the meaning and application of radian measure;

Make connections between trigonometric ratios and the graphical and algebraic representations of the corresponding trigonometric functions and between trigonometric functions and their reciprocals, and use these connections to solve problems;

Solve problems involving trigonometric equations and prove trigonometric identities.

Characteristics of Functions

Demonstrate an understanding of average and instantaneous rate of change, and determine, numerically and graphically, and interpret the average rate of change of a function over a given interval and the instantaneous rate of change of a function at a given point;

Determine functions that result from the addition, subtraction, multiplication, and division of two functions and from the composition of two functions, describe some properties of the resulting functions, and solve related problems; Compare the characteristics of functions, and solve problems by modelling and reasoning with functions, including problems with solutions that are not accessible by standard algebraic techniques.

Polynomial and Rational Functions

Identify and describe some key features of polynomial functions, and make connections between the numeric, graphical, and algebraic representations of polynomial functions;

Identify and describe some key features of the graphs of rational functions, and represent rational functions graphically; Solve problems involving polynomial and simple rational equations graphically and algebraically; Demonstrate an understanding of solving polynomial and simple rational inequalities.

#### Grade 12 Calculus and Vectors (University) Breakdown

Rate of Change

Demonstrate an understanding of rate of change by making connections between average rate of change over an interval and instantaneous rate of change at a point, using the slopes of secants and tangents and the concept of the limit;

Graph the derivatives of polynomial, sinusoidal, and exponential functions, and make connections between the numeric, graphical, and algebraic representations of a function and its derivative;

Verify graphically and algebraically the rules for determining derivatives; apply these rules to determine the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions, and simple combinations of functions; and solve related problems.

Derivatives and their Applications

Make connections, graphically and algebraically, between the key features of a function and its first and second derivatives, and use the connections in curve sketching;

Solve problems, including optimization problems, that require the use of the concepts and procedures associated with the derivative, including problems arising from real-world applications and involving the development of mathematical models.

Geometry and Algebra of Vectors

Demonstrate an understanding of vectors in two-space and three-space by representing them algebraically and geometrically and by recognizing their applications;

Perform operations on vectors in two-space and three-space, and use the properties of these operations to solve problems, including those arising from real-world applications;

Distinguish between the geometric representations of a single linear equation or a system of two linear equations in two-space and three-space, and determine different geometric configurations of lines and planes in three-space;

Represent lines and planes using scalar, vector, and parametric equations, and solve problems involving distances and intersections.

## Mathematics - Extra Practice

Basic Algebra (pdf)

Trigonometry (pdf)

Logs and Exponentials (pdf)

Functions (pdf)

Grade 12 Calculus Final Exam (pdf)

Data Management Practice Exam (pdf)

## English Course

#### Grade 12 English (University) Breakdown

Oral Communication

• Listening to Understand: listen in order to understand and respond appropriately in a variety of situations for a variety of purposes;
• Speaking to Communicate: use speaking skills and strategies appropriately to communicate with different audiences for a variety of purposes;
• Reflecting on Skills and Strategies: reflect on and identify their strengths as listeners and speakers, areas for improvement, and the strategies they found most helpful in oral communication situations.

• Reading for Meaning: read and demonstrate an understanding of a variety of literary, informational, and graphic texts, using a range of strategies to construct meaning;
• Understanding Form and Style: recognize a variety of text forms, text features, and stylistic elements and demonstrate understanding of how they help communicate meaning;
• Reading With Fluency: use knowledge of words and cueing systems to read fluently;
• Reflecting on Skills and Strategies: reflect on and identify their strengths as readers, areas for improvement, and the strategies they found most helpful before, during, and after reading.

Writing

• Developing and Organizing Content: generate, gather, and organize ideas and information to write for an intended purpose and audience;
• Using Knowledge of Form and Style: draft and revise their writing, using a variety of literary, informational, and graphic forms and stylistic elements appropriate for the purpose and audience;
• Applying Knowledge of Conventions: use editing, proofreading, and publishing skills and strategies, and knowledge of language conventions, to correct errors, refine expression, and present their work effectively;

Media Studies

• Understanding Media Texts: demonstrate an understanding of a variety of media texts;
• Understanding Media Forms, Conventions, and Techniques: identify some media forms and explain how the conventions and techniques associated with them are used to create meaning;
• Creating Media Texts: create a variety of media texts for different purposes and audiences, using appropriate forms, conventions, and techniques;
• Reflecting on Skills and Strategies: reflect on and identify their strengths as media interpreters and creators, areas for improvement, and the strategies they found most helpful in understanding and creating media texts.

## Physics

Grade 12 Physics Exam Review (pdf)

## Chemistry

Grade 12 Chemistry Exam Review (pdf)

Grade 12 Chemistry Exam Review1 (pdf)

## Problems of the Week

#### Keep math skills sharp over the summer by joining our Summer Math Challenge Program

The Problems of the Week are designed to provide high school students with on ongoing opportunity to solve mathematical problems. The best way to improve your problem-solving skills is to practice solving problems.

• Each week, the set of problems from various areas of mathematics will be posted here.
• Answers to the problems will be posted one week after the problems are posted.

Solve math problems and improve your English! Good luck to all of you!

Problems of the Week, June 19, 2019 (pdf)

Problems of the Week, June 26, 2019 (pdf)

Problems of the Week, July 3, 2019 (pdf)

Problems of the Week, July 10, 2019 (pdf)

Problems of the Week, July 17, 2019 (pdf)

Problems of the Week, July 24, 2019 (pdf)

Problems of the Week, July 31, 2019 (pdf)

Problems of the Week, August 7, 2019 (pdf)

Problems of the Week, August 14, 2019 (pdf)

Problems of the Week, August 21, 2019 (pdf)