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Grade 10 Applied and Pre-Calculus Mathematics learners will develop spatial sense and proportional reasoning that involve linear measurements, surface area and volume, and conversions within and between SI and imperial units of measure; they will also develop and apply the primary trigonometric ratios. They will develop algebraic reasoning and number sense by demonstrating an understanding of factors of whole numbers, irrational numbers, powers, multiplication of polynomial expressions, and trinomial factoring. Learners will develop algebraic and graphical reasoning through the study of relations, functions, and slope.
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 spatial sense and proportional reasoning.
10I.M.1. Solve problems that involve linear measurement, using
[ME, PS, V]
10I.M.2. Apply proportional reasoning to problems that involve conversions within and between SI and imperial units of measure.
[C, ME, PS, T]
10I.M.3. Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects, including
[CN, PS, R, T, V]
10I.M.4. Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.
[C, CN, PS, R, T, V]
General Learning Outcome: Develop algebraic reasoning and number sense.
10I.A.1. Demonstrate an understanding of factors of whole numbers by determining
[CN, ME, R]
10I.A.2. Demonstrate an understanding of irrational numbers by
[CN, ME, R, V]
10I.A.3.Demonstrate an understanding of powers with integral and rational exponents.
[C, CN, PS, R]
10I.A.4. Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials, and trinomials), concretely, pictorially, and symbolically.
[C, CN, R, V]
10I.A.5. Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially, and symbolically.
[C, CN, R, V]
General Learning Outcome: Develop algebraic and graphical reasoning through the study of relations.
10I.R.1. Interpret and explain the relationships among data, graphs, and contexts.
[C, CN, R, T, V]
10I.R.2. Demonstrate an understanding of relations and functions.
[C, R, V]
10I.R.3. Demonstrate an understanding of slope with respect to
[PS, R, V]
10I.R.4. Describe and represent linear relations, using
[C, CN, R, V]
10I.R.5. Determine the characteristics of the graphs of linear relations, including the
[CN, PS, R, T, V]
10I.R.6. Relate linear relations expressed in
to their graphs.
[CN, PS, R, T, V]
10I.R.7. Determine the equation of a linear relation, given
[C, CN, PS, R, T, V]
10I.R.8. Represent a linear function, using function notation.
[CN, ME, V]
10I.R.9. Solve problems that involve systems of linear equations in two variables, graphically and algebraically.
[CN, PS, R, T, V]
10I.R.10. Solve problems that involve the distance between two points and the midpoint of a line segment.
[C, CN, PS, T, V]
Grade 10 - Curriculum Implementation Resources: Web Pages