Framework for Learning

 
 
 
 
 
 

Framework for LEARNING

English Program

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Grade 8 Mathematics

Course Overview

Grade 8 learners will demonstrate an understanding of ratios, rates, proportional reasoning, percents, perfect squares, and square roots. They will demonstrate an understanding of multiplication and division of fractions, mixed numbers, and integers, and they will make connections among all four operations. Learners will graph and analyze linear relations, and model and solve linear equations. They will develop and apply the Pythagorean theorem, and they will draw and construct nets of objects. They will determine the surface area of prisms and cylinders, and they will develop and apply formulas for determining their volume. Learners will draw and interpret views of objects, and they will demonstrate an understanding of tessellations, critique ways in which data are presented, and determine the probability of independent events.

Guiding Principles for the Design of Learning Experiences and Assessment Practices

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.

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 number sense.

  • 8.N.1. Demonstrate an understanding of perfect squares and square roots, concretely, pictorially, and symbolically (limited to whole numbers).
    [C, CN, R, V]

  • 8.N.2. Determine the approximate square root of whole numbers that are not perfect squares (limited to whole numbers).
    [C, CN, ME, R, T]

  • 8.N.3. Demonstrate an understanding of percents greater than or equal to 0%.
    [CN, PS, R, V]

  • 8.N.4. Demonstrate an understanding of ratio and rate.
    [C, CN, V]

  • 8.N.5. Solve problems that involve rates, ratios, and proportional reasoning.
    [C, CN, PS, R]

  • 8.N.6. Demonstrate an understanding of multiplying and dividing positive fractions and mixed numbers, concretely, pictorially, and symbolically.
    [C, CN, ME, PS]

  • 8.N.7. Demonstrate an understanding of multiplication and division of integers, concretely, pictorially, and symbolically.
    [C, CN, PS, R, V]

  • 8.N.8. Solve problems involving positive rational numbers.
    [C, CN, ME, PS, R, T, V]

General Learning Outcome: Use patterns to describe the world and solve problems.

  • 8.PR.1. Graph and analyze two-variable linear relations.
    [C, ME, PS, R, T, V]


General Learning Outcome: Represent algebraic expressions in multiple ways.

  • 8.PR.2. Model and solve problems using linear equations of the form

    • a x = b
    • x a = b , a 0
    • a x + b = c
    • x a + b = c , a 0
    • a ( x + b ) = c

    concretely, pictorially, and symbolically, where a, b, and c are integers.
    [C, CN, PS, V]

General Learning Outcome: Use direct or indirect measurement to solve problems.

  • 8.SS.1. Develop and apply the Pythagorean theorem to solve problems.
    [CN, PS, R, T, V]

  • 8.SS.2. Draw and construct nets for 3-D objects.
    [C, CN, PS, V]

  • 8.SS.3. Determine the surface area of

    • right rectangular prisms
    • right triangular prisms
    • right cylinders

    to solve problems.
    [C, CN, PS, R, V]

  • 8.SS.4. Develop and apply formulas for determining the volume of right prisms and right cylinders.
    [C, CN, PS, R, V]


General Learning Outcome: Describe the characteristics of 3-D objects and 2-D shapes, and analyze the relationships among them.

  • 8.SS.5. Draw and interpret top, front, and side views of 3-D objects composed of right rectangular prisms.
    [C, CN, R, T, V]


General Learning Outcome: Describe and analyze position and motion of objects and shapes.

  • 8.SS.6. Demonstrate an understanding of tessellation by

    • explaining the properties of shapes that make tessellating possible
    • creating tessellations
    • identifying tessellations in the environment

    [C, CN, PS, T, V]

General Learning Outcome: Collect, display, and analyze data to solve problems.

  • 8.SP.1. Critique ways in which data are presented.
    [C, R, T, V]


General Learning Outcome: Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

  • 8.SP.2. Solve problems involving the probability of independent events.
    [C, CN, PS, T]

Curriculum Implementation Resources

Grade 8 - Curriculum Implementation Resources: Web Pages

Grade 8 - Curriculum Implementation Resources: Multimedia

Grade 8 - Curriculum Implementation Resources: Documents