### Course Outline

Extended Mathematics 11 is an academic high school mathematics course.

Students in Extended Mathematics 11 will explore the following topics:

- Measurement (M)
- Geometry (G)
- Logical Reasoning (LR)
- Relations and Functions (RF)
- Statistics (S)
- Data Analysis (DA)

#### Measurement (M)

Students will be expected to develop spatial sense and proportional reasoning.

- solve problems that involve the application of rates.
- solve problems that involve scale diagrams, using proportional reasoning.
- demonstrate an understanding of the relationships among scale factors, areas, surface areas, and volumes of similar 2-D shapes and 3-D objects.

#### Geometry (G)

Students will be expected to develop spatial sense.

- derive proofs that involve the properties of angles and triangles
- solve problems that involve the properties of angles and triangles.
- solve problems that involve the cosine law and the sine law, including the ambiguous case.

#### Logical Reasoning (LR)

Students will be expected to develop logical reasoning.

- analyze and prove conjectures, using inductive and deductive reasoning, to solve problems.
- analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.

#### Relations and Functions (RF)

Students will be expected to develop algebraic and graphical reasoning through the study of relations.

- model and solve problems that involve systems of linear inequalities in two variables.
- demonstrate an understanding of the characteristics of quadratic functions, including vertex, intercepts, domain and range, and axis of symmetry.

#### Statistics (S)

Students will be expected to develop statistical reasoning.

- analyze, interpret, and draw conclusions from one-variable data using numerical and graphical summaries.
- demonstrate an understanding of normal distribution, including standard deviation and z-scores.
- interpret statistical data, using confidence intervals, confidence levels, and margin of error.

#### Data Analysis

- analyse, interpret, and draw conclusions from two-variable data using numerical, graphical, and algebraic summaries.
- critically analyze society’s use of inferential statistics.
- analyze data, identify patterns, and extract useful information and meaning from large, professionally collected data sets.

**Updated August 24, 2021**