Framework for Learning

 
 
 
 
 
 

Framework for LEARNING

English Program

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Grade 6 Mathematics

Course Overview

Grade 6 students will demonstrate an understanding of place value, integers, ratio, percent, multiples, factors, and fractions. They will demonstrate an understanding of all four operations of whole numbers and decimals, and explain and apply the order of operations. Students will demonstrate an understanding of patterns and relationships found in tables and graphs, represent generalizations arising from number relationships using equations, and explain the meaning of preservation of equality. They will demonstrate an understanding of angles, triangles, and polygons, and develop and apply formulas for determining perimeter, area, and volume. Students will perform and describe transformations of shapes, and they will learn about the Cartesian plane. They will select, justify, collect, and graph data, and interpret and analyze a variety of graphs. Students will demonstrate an understanding of experimental and theoretical probabilities of 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.

  • 6.N.1. Demonstrate an understanding of place value for numbers

    • greater than one million
    • less than one-thousandth

    [C, CN, R, T]

  • 6.N.2. Solve problems involving large numbers, using technology.
    [ME, PS, T]

  • 6.N.3. Demonstrate an understanding of factors and multiples by

    • determining multiples and factors of numbers less than 100
    • identifying prime and composite numbers
    • solving problems involving factors or multiples

    [PS, R, V]

  • 6.N.4. Relate improper fractions to mixed numbers.
    [CN, ME, R, V]

  • 6.N.5. Demonstrate an understanding of ratio, concretely, pictorially, and symbolically.
    [C, CN, PS, R, V]

  • 6.N.6. Demonstrate an understanding of percent (limited to whole numbers), concretely, pictorially, and symbolically.
    [C, CN, PS, R, V]

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

  • 6.N.8. Demonstrate an understanding of multiplication and division of decimals (involving 1-digit whole-number multipliers, 1-digit natural number divisors, and multipliers and divisors that are multiples of 10), concretely, pictorially, and symbolically, by

    • using personal strategies
    • using the standard algorithms
    • using estimation
    • solving problems

    [C, CN, ME, PS, R, V]

  • 6.N.9. Explain and apply the order of operations, excluding exponents (limited to whole numbers).
    [CN, ME, PS, T]

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

  • 6.PR.1. Demonstrate an understanding of the relationships within tables of values to solve problems.
    [C, CN, PS, R]

  • 6.PR.2. Represent and describe patterns and relationships using graphs and tables.
    [C, CN, ME, PS, R, V]


General Learning Outcome: Represent algebraic expressions in multiple ways.

  • 6.PR.3. Represent generalizations arising from number relationships using equations with letter variables.
    [C, CN, PS, R, V]

  • 6.PR.4. Demonstrate and explain the meaning of preservation of equality, concretely, pictorially, and symbolically.
    [C, CN, PS, R, V]

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

  • 6.SS.1. Demonstrate an understanding of angles by

    • identifying examples of angles in the environment
    • classifying angles according to their measure
    • estimating the measure of angles using 45°, 90°, and 180° as reference angles
    • determining angle measures in degrees
    • drawing and labelling angles when the measure is specified

    [C, CN, ME, V]

  • 6.SS.2. Demonstrate that the sum of interior angles is

    • 180° in a triangle
    • 360° in a quadrilateral

    [C, R]

  • 6.SS.3. Develop and apply a formula for determining the

    • perimeter of polygons
    • area of rectangles
    • volume of right rectangular prisms

    [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.

  • 6.SS.4. Construct and compare triangles, including

    • scalene
    • isosceles
    • equilateral
    • right
    • obtuse
    • acute

    in different orientations.
    [C, PS, R, V]

  • 6.SS.5. Describe and compare the sides and angles of regular and irregular polygons.
    [C, PS, R, V]


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

  • 6.SS.6. Perform a combination of transformations (translations, rotations, or reflections) on a single 2-D shape, and draw and describe the image.
    [C, CN, PS, T, V]

  • 6.SS.7. Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations.
    [C, CN, T, V]

  • 6.SS.8. Identify and plot points in the first quadrant of a Cartesian plane using whole-number ordered pairs.
    [C, CN, V]

  • 6.SS.9. Perform and describe single transformations of a 2-D shape in the first quadrant of a Cartesian plane (limited to whole-number vertices).
    [C, CN, PS, T, V]

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

  • 6.SP.1. Create, label, and interpret line graphs to draw conclusions.
    [C, CN, PS, R, V]

  • 6.SP.2. Select, justify, and use appropriate methods of collecting data, including

    • questionnaires
    • experiments
    • databases
    • electronic media

    [C, PS, T]

  • 6.SP.3. Graph collected data and analyze the graph to solve problems.
    [C, CN, PS]


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

  • 6.SP.4. Demonstrate an understanding of probability by

    • identifying all possible outcomes of a probability experiment
    • differentiating between experimental and theoretical probability
    • determining the theoretical probability of outcomes in a probability experiment
    • determining the experimental probability of outcomes in a probability experiment
    • comparing experimental results with the theoretical probability for an experiment

    [C, ME, PS, T]

Curriculum Implementation Resources

Grade 6 - Curriculum Implementation Resources: Web Pages

Grade 6 - Curriculum Implementation Resources: Multimedia

Grade 6 - Curriculum Implementation Resources: Documents