Manitoba
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Education, Citizenship and Youth

Grade 7 Curriculum Outcomes
(WNCP 2006 Revisions)

For more information on these outcomes and for the list of achievement indicators, please see the appropriate grade level of the K-8 Mathematics: Manitoba Curriculum Framework of Outcomes (2007).

For new kindergarten to grade 12 mathematics curriculum implementation timelines see Manitoba Implementation Timelines 

(Updated February 2008)

Number Patterns & Relations Shape & Space Statistics & Probability

General Outcome

Develop number sense.

General Outcome

Use patterns to describe the world and solve problems.

General Outcome

Use direct or indirect measurement to solve problems.

General Outcome

Collect, display, and analyze data to solve problems

7.N.1

  • Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10, and why a number cannot be divided by 0.
  • [C, R]

7.PR.1

  • Demonstrate an understanding of oral or written patterns and their equivalent relations.
  • [C, CN, R]

7.SS.1

  • Demonstrate an understanding of circles by
    • describing the relationships among radius, diameter, and circumference of circles
    • relating circumference to pi
    • determining the sum of the central angles
    • constructing circles with a given radius or diameter
    • solving problems involving the radii, diameters and circumferences of circles.
  • [C, CN, R, V]

7.SP.1

  • Demonstrate an understanding of central tendency and range by
    • determining the measures of central tendency (mean, median, mode) and range
    • determining the most appropriate measures of central tendency to report findings.

    [C, PS, R, T]

7.N.2

  • Demonstrate an understanding of the addition, subtraction, multiplication, and division of decimals to solve problems (for more than 1-digit divisors or 2-digit multipliers, the use of technology is expected).
  • [ME, PS, T]

7.PR.2

  • Create a table of values from a relation, graph the table of values, and analyze the graph to draw conclusions and solve problems.
  • [C, CN, R, V]

7.SS.2

  • Develop and apply a formula for determining the area of
    • triangles
    • parallelograms
    • circles.

    [CN, PS, R, V]

7.SP.2

  • Determine the effect on the mean, median, and mode when an outlier is included in a data set.
  • [C, CN, PS, R]

7.N.3

  • Solve problems involving percents from 1% to 100%.
  • [C, CN, ME, PS, R, T]

General Outcome

Represent algebraic expressions in multiple ways.

General Outcome

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

7.SP.3

  • Construct, label, and interpret circle graphs to solve problems.
  • [C, CN, PS, R, T, V]

7.N.4

  • Demonstrate an understanding of the relationship between positive repeating decimals and fractions, and terminating decimals and fractions.
  • [C, CN, R, T]

7.PR.3

  • Demonstrate an understanding of preservation of equality by
    • modeling preservation of equality concretely, pictorially, and symbolically
    • applying preservation of equality to solve equations.

  • [C, CN, PS, R, V]

7.SS.3

  • Perform geometric constructions including
    • perpendicular line segments
    • parallel line segments
    • perpendicular bisectors
    • angle bisectors.

    [CN, R, V]

General Outcome

Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

7.N.5

  • Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denominators, concretely, pictorially, and symbolically (limited to positive sums and differences).
  • [C, CN, ME, PS, R, V]

7.PR.4

  • Explain the difference between an expression and an equation.
  • [C, CN]

General Outcome

Describe and analyze position and motion of objects and shapes.

7.SP.4

  • Express probabilities as ratios, fractions, and percents.
  • [C, CN, R, T, V]

7.N.6

  • Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially, and symbolically.
  • [C, CN, PS, R, V]

7.PR.5

  • Evaluate an expression given the value of the variable(s).
  • [CN, R]

7.SS.4

  • Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
  • [C, CN, V]

7.SP.5

  • Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.
  • [C, ME, PS]

7.N.7

  • Compare and order fractions, decimals (to thousandths) and integers, by using:
    • benchmarks
    • place value
    • equivalent fractions and/or decimals.

    [CN, R, V]

7.PR.6

  • Model and solve problems that can be represented by one-step linear equations of the form x + a = b, concretely, pictorially, and symbolically, where a and b are integers.
  • [CN, PS, R, V]

7.SS.5

  • Perform and describe transformations of a 2-D shape in all four-quadrants of a Cartesian plane (limited to integral vertices).

    [C, CN, PS, T, V]

7.SP.6

  • Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table, or another graphic organizer) and experimental probability of two independent events.
  • [C, PS, R, T]

 

7.PR.7

  • Model and solve problems that can be represented by linear equations of the form
    • ax + b = c
    • ax = b
    • 'x' divided by 'a' = 'b' , a ≠ o
    concretely, pictorially, and symbolically, where a, b and c are whole numbers.
  • [CN, PS, R, V]

   

 

Processes:

C - Communication
PS - Problem Solving
V - Visualization
CN - Connections
R - Mathematical Reasoning
ME - Mental Mathematics & Estimation
T - Technology