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Grade 11 Pre-Calculus Mathematics students will develop algebraic reasoning and number sense involving radicals, rational and radical expressions, and equations, and they will demonstrate an understanding of absolute values of real numbers. They will develop trigonometric reasoning involving primary trigonometric ratios, an understanding of the application of the cosine and sine law, and they will demonstrate an understanding of angles in standard position. Students will develop algebraic and graphical reasoning through the study of relations involving polynomial expressions, absolute value, quadratic and reciprocal functions, quadratic equations, systems of equations, linear and quadratic inequalities, as well arithmetic and geometric sequences and series.
The Guiding Principles of Designing Learning Experiences and Assessment Practices in the French Immersion program 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 of Designing Learning Experiences and Assessment Practices outlined below in the French Immersion Program in Manitoba provide guidance to all Manitoba educators as they design learning and assessment experiences 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.
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 algebraic reasoning and number sense.
11P.A.1. Demonstrate an understanding of the absolute value of real numbers.
[ME, R, V]
11P.A.2. Solve problems that involve operations on radicals and radical expressions with numerical and variable radicands.
[CN, ME, PS, R, T]
11P.A.3. Solve problems that involve radical equations (limited to square roots).
[C, CN, PS, R, T]
11P.A.4. Determine equivalent forms of rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
[C, ME, R]
11P.A.5. Perform operations on rational expressions (limited to numerators and denominators that are monomials, binomials, or trinomials).
[C, CN, ME, R]
11P.A.6. Solve problems that involve rational equations (limited to numerators and denominators that are monomials, binomials, or trinomials).
[C, CN, PS, R]
General Learning Outcome: Develop trigonometric reasoning.
11P.T.1. Demonstrate an understanding of angles in standard position [0° to 360°].
[C, R, V]
11P.T.2. Solve problems, using the three primary trigonometric ratios (sine, cosine, and tangent) for angles from 0° to 360° in standard position.
[C, ME, PS, R, T, V]
11P.T.3. Solve problems, using the cosine law and sine law, including the ambiguous case.
[C, CN, PS, R, T]
General Learning Outcome: Develop algebraic and graphical reasoning through the study of relations.
11P.R.1. Factor polynomial expressions of the form
where a, b, and c are rational numbers.
[ME, R]
11P.R.2. Graph and analyze absolute value functions (limited to linear and quadratic functions) to solve problems.
[C, PS, R, T, V]
11P.R.3. Analyze quadratic functions of the form and determine the
[C, CN, R, T, V]
11P.R.4. Analyze quadratic functions of the form to identify characteristics of the corresponding graph, including
[C, CN, PS, R, T, V]
11P.R.5. Solve problems that involve quadratic equations.
[C, CN, PS, R, T, V]
11P.R.6. Solve, algebraically and graphically, problems that involve systems of linear-quadratic and quadratic-quadratic equations in two variables.
[C, CN, PS, R, T, V]
11P.R.7. Solve problems that involve linear and quadratic inequalities in two variables.
[C, PS, T, V]
11P.R.8. Solve problems that involve quadratic inequalities in one variable.
[CN, PS, V]
11P.R.9. Analyze arithmetic sequences and series to solve problems.
[C, CN, PS, R, T]
11P.R.10. Analyze geometric sequences and series to solve problems.
[C, CN, PS, R, T]
11P.R.11. Graph and analyze reciprocal functions (limited to the reciprocal of linear and quadratic functions).
[CN, R, T, V]
Grade 11 - Curriculum Implementation Resources: Web Pages