Extended Mathematics 11

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