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manitoba.ca > Education and Early Childhood Learning > K-12 > Framework for Learning > French Immersion Program > Mathematics > Grade 10 Essential Mathematics

Framework for Learning

 
 
 
 
 
 

Framework for LEARNING

French Immersion Program

Course Code

3000

Course Credit

1

Grade 10 Essential Mathematics
Grade 10 Essential Mathematics Half Course I
Grade 10 Essential Mathematics Half Course II
Grade 10 Introduction to Applied and Pre-Calculus Mathematics

Print Version (PDF document 933 KB)

Grade 10 Essential Mathematics

Course Overview

Grade 10 Essential Mathematics learners in the full course will develop critical-thinking skills by analyzing puzzles and games involving spatial reasoning. They will develop spatial sense through direct and indirect measurement, and they will demonstrate an understanding of the Système International (SI) and the American and British imperial systems by describing the relationships for units of length, area, volume, capacity, and mass. Learners will convert units of measurements between all systems, and they will manipulate and apply formulas involving perimeter and area. They will develop spatial sense relating to triangles by demonstrating an understanding of manipulating and applying formulas related to the Pythagorean theorem and the primary trigonometric ratios, as well as an understanding of transformations, angles, and lines. Learners will demonstrate an understanding of employment earnings by calculating gross and net pay, as well as manipulating and applying formulas related to income. They will develop skills to make informed consumer decisions using proportional reasoning involving unit pricing and currency exchange.

Guiding Principles for the Design of Learning Experiences and Assessment Practices

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.

Language is seen as a tool for communication, cognitive development and as a vector for personal and social growth.
The learner develops a sense of belonging to the Francophone community, both within the school and in the Francophone community outside the classroom.
Learning and assessment situations are learner-centred.
Learning and assessment situations take place in a rich and engaging learning environment that offers a climate of trust and respect.
The learning environment and learning and assessment experiences value human diversity.
The learning environment and learning and assessment experiences incorporate Indigenous perspectives and engage the learner in a process of reconciliation

Guiding Principles for Evaluation and Reporting

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.

Learning Outcomes

General Learning Outcome: Develop critical thinking skills.

  • 10E.A.1. Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.
    [C, CN, PS, R]

    NOTE: It is intended that this learning outcome be integrated throughout the course by using sliding, rotation, construction, deconstruction, and similar puzzles and games.

General Learning Outcome: Develop an understanding of employment earnings.

  • 10E.P.1. Demonstrate an understanding of calculations for gross pay and net pay earned through income sources including

    • wages
    • salary
    • contracts
    • commissions
    • piecework

    [C, CN, R, T]

  • 10E.P.2. Solve problems that require the manipulation and application of formulas related to income.
    [C, CN, ME, PS, R]

General Learning Outcome: Develop spatial sense through direct and indirect measurement.

  • 10E.M.1. Demonstrate an understanding of the Système International (SI) by describing the relationships of the units for length, area, volume, capacity, and mass.
    [C, CN, ME, V]

    It is intended that this learning outcome be limited to the base units and the prefixes milli, cente, deci, deca, hector, and kilo.

  • 10E.M.2. Demonstrate an understanding of the imperial system by

    • describing the relationships of the units for length, area, volume, capacity, and mass
    • comparing the American and British imperial units for capacity
    • applying strategies to convert between imperial units and SI units

    [C, CN, ME, V]

  • 10E.M.3. Solve and verify problems that involve SI and imperial linear measurements, including decimal and fractional measurements.
    [CN, ME, PS, V]

    It is intended that the four arithmetic operations on decimals and fractions be integrated into the problems.

  • 10E.M.4. Solve problems that require the manipulation and application of formulas related to converting measurement.
    [C, CN, ME, PS, R]

General Learning Outcome: Develop an understanding of spatial relationships applied to area.

  • 10E.G.1. Solve problems that involve SI and imperial area measurements of regular, composite, and irregular 2-D shapes and 3-D objects, including decimal and fractional measurements.
    [ME, PS, R, V]

  • 10E.G.2. Solve problems that require the manipulation and application of formulas related to

    • perimeter
    • area

    [C, CN, ME, PS, R]

General Learning Outcome: Develop spatial sense relating to triangles.

  • 10E.TG.1. Solve problems involving right triangles using the Pythagorean theorem.
    [C, CN, PS, V]

  • 10E.TG.2. Demonstrate an understanding of primary trigonometric ratios (sine, cosine, tangent) by

    • applying similarity to right triangles
    • generalizing patterns from similar right triangles
    • solving problems

    [CN, PS, R, T, V]

  • 10E.TG.3. Solve problems that require the manipulation and application of formulas related to

    • the Pythagorean theorem
    • primary trigonometric ratios

    [C, CN, ME, PS, R]

General Learning Outcome: Develop skills to make informed consumer decisions.

  • 10E.C.1. Solve problems that involve unit pricing and currency exchange, using proportional reasoning.
    [CN, ME, PS, R]

General Learning Outcome: Develop spatial sense.

  • 10E.TF.1. Demonstrate an understanding of transformations on a 2-D shape or a 3-D object, including

    • translations
    • rotations
    • reflections
    • dilations

    [C, CN, R, T, V]

General Learning Outcome: Develop spatial sense.

  • 10E.AC.1. Demonstrate an understanding of angles, including acute, right, obtuse, straight, and reflex, by

    • drawing
    • replicating and constructing
    • bisecting
    • solving problems

    [C, ME, PS, T, V]

  • 10E.AC.2. Solve problems that involve parallel, perpendicular, and transversal lines, and pairs of angles formed between them.
    [C, CN, PS, V]

Curriculum Implementation Resources

Grade 10 - Curriculum Implementation Resources: Web Pages

Grade 10 - Curriculum Implementation Resources: Multimedia

Grade 10 - Curriculum Implementation Resources: Documents


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