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Grade 11 Applied Mathematics learners will develop a spatial sense and a proportional reasoning involving the application of rates and scale diagrams, and they will demonstrate an understanding of the relationships among scale factors, areas, surface areas, and volumes of similar shapes and objects. They will develop a spatial sense as they derive proofs that involve the properties of angles and triangles, and they will apply the cosine law and the sine law. Learners will develop logical reasoning as they analyze and prove conjectures using inductive and deductive reasoning, and as they analyze puzzles and games that involve spatial reasoning. They will develop statistical reasoning involving the concepts of normal distribution and interpreting statistical data. Learners will develop algebraic and graphical reasoning through the study of relations involving systems of linear inequalities and demonstrate an understanding of the characteristics of quadratic functions. They will develop an appreciation of the role of mathematics in society by researching and giving a presentation on a mathematical historical event or an area of interest that involves mathematics.
The Guiding Principles for the Design of Learning Experiences and Assessment Practices provide guidance to all Manitoba educators as they design learning experiences and classroom assessments to strengthen, extend, and expand student learning. Planning with the learner, the context, and the curricula in mind creates opportunities for the co-construction of inclusive learning experiences and assessment practices where the diverse learning needs, abilities, and interests of each learner are met.
Assessment for and as learning involve learners in the process and support learner reflection; assessment of learning (commonly known as summative evaluation) measures final outcomes. All aspects, when done well, contribute to informed teaching and reliable judgment of learner progress.
The Guiding Principles for Evaluation and Reporting are currently still under development and not yet available. When completed, a notification will be added to the Manitoba Framework for Learning “What’s New?” page on the website.
General Learning Outcome: Develop spatial sense and proportional reasoning.
11A.M.1. Solve problems that involve the application of rates.
[CN, PS, R, T]
11A.M.2. Solve problems that involve scale diagrams, using proportional reasoning.
[CN, PS, R, T, V]
11A.M.3. Demonstrate an understanding of the relationships among scale factors, areas, surface areas, and volumes of similar 2-D shapes and 3-D objects.
[C, CN, PS, R, T, V]
General Learning Outcome: Develop spatial sense.
11A.G.1. Derive proofs that involve the properties of angles and triangles.
[CN, R, T, V]
11A.G.2. Solve problems that involve the properties of angles and triangles.
[CN, PS, T, V]
11A.G.3. Solve problems that involve the cosine law and the sine law, including the ambiguous case.
[CN, PS, R, T]
General Learning Outcome: Develop logical reasoning.
11A.L.1. Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems.
[C, CN, PS, R, T]
11A.L.2. Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.
[CN, PS, R, T, V]
General Learning Outcome: Develop statistical reasoning.
11A.S.1. Demonstrate an understanding of normal distribution, including
[CN, PS, T, V]
11A.S.2. Interpret statistical data, using
[C, CN, R, T]
General Learning Outcome: Develop algebraic and graphical reasoning through the study of relations.
11A.R.1. Model and solve problems that involve systems of linear inequalities in two variables.
[CN, PS, T, V]
11A.R.2. Demonstrate an understanding of the characteristics of quadratic functions, including
[CN, PS, T, V]
General Learning Outcome: Develop an appreciation of the role of mathematics in society.
11A.RP.1. Research and give a presentation on a historical event or an area of interest that involves mathematics.
[C, CN, ME, PS, R, T, V]
Grade 11 - Curriculum Implementation Resources: Web Pages
