Northwest Territories

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Skills available for Northwest Territories grade 7 math curriculum

Objectives are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practise that skill.

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PR Patterns and Relations

  • PR.1 Use patterns to describe the world and to solve problems.

  • PR.2 Represent algebraic expressions in multiple ways.

    • PR.2.3 Demonstrate an understanding of preservation of equality by:

      • PR.2.3.a modelling preservation of equality, concretely, pictorially and symbolically.

      • PR.2.3.b applying preservation of equality to solve equations.

      • PR.2.3.1 Model the preservation of equality for each of the four operations, using concrete materials or pictorial representations; explain the process orally; and record the process symbolically.

      • PR.2.3.2 Write equivalent forms of a given equation by applying the preservation of equality, and verify, using concrete materials; e.g., 3b = 12 is the same as 3b + 5 = 12 + 5 or 2r = 7 is the same as 3(2r) = 3(7).

      • PR.2.3.3 Solve a given problem by applying preservation of equality.

    • PR.2.4 Explain the difference between an expression and an equation.

      • PR.2.4.1 Identify and provide an example of a constant term, numerical coefficient and variable in an expression and an equation.

      • PR.2.4.2 Explain what a variable is and how it is used in a given expression.

      • PR.2.4.3 Provide an example of an expression and an equation, and explain how they are similar and different.

    • PR.2.5 Evaluate an expression, given the value of the variable(s).

    • PR.2.6 Model and solve, concretely, pictorially and symbolically, problems that can be represented by one-step linear equations of the form x + a = b, where a and b are integers.

      • PR.2.6.1 Represent a given problem with a linear equation; and solve the equation, using concrete models, e.g., counters, integer tiles.

      • PR.2.6.2 Draw a visual representation of the steps required to solve a given linear equation.

      • PR.2.6.3 Solve a given problem, using a linear equation.

      • PR.2.6.4 Verify the solution to a given linear equation, using concrete materials and diagrams.

      • PR.2.6.5 Substitute a possible solution for the variable in a given linear equation into the original linear equation to verify the equality.

    • PR.2.7 Model and solve, concretely, pictorially and symbolically, problems that can be represented by linear equations of the form:

SS Shape and Space

  • SS.1 Use direct and indirect measurement to solve problems.

    • SS.1.1 Demonstrate an understanding of circles by:

      • SS.1.1.a describing the relationships among radius, diameter and circumference.

      • SS.1.1.b relating circumference to pi.

      • SS.1.1.c determining the sum of the central angles.

      • SS.1.1.d constructing circles with a given radius or diameter.

      • SS.1.1.e solving problems involving the radii, diameters and circumferences of circles.

      • SS.1.1.1 Illustrate and explain that the diameter is twice the radius in a given circle.

      • SS.1.1.2 Illustrate and explain that the circumference is approximately three times the diameter in a given circle.

      • SS.1.1.3 Explain that, for all circles, pi is the ratio of the circumference to the diameter (C/d) and its value is approximately 3.14.

      • SS.1.1.4 Explain, using an illustration, that the sum of the central angles of a circle is 360°.

      • SS.1.1.5 Draw a circle with a given radius or diameter, with and without a compass.

      • SS.1.1.6 Solve a given contextual problem involving circles.

    • SS.1.2 Develop and apply a formula for determining the area of:

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

  • SS.3 Describe and analyze position and motion of objects and shapes.

    • SS.3.4 Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs.

      • SS.3.4.1 Label the axes of a four quadrant Cartesian plane, and identify the origin.

      • SS.3.4.2 Identify the location of a given point in any quadrant of a Cartesian plane, using an integral ordered pair.

      • SS.3.4.3 Plot the point corresponding to a given integral ordered pair on a Cartesian plane with units of 1, 2, 5 or 10 on its axes.

      • SS.3.4.4 Draw shapes and designs in a Cartesian plane, using given integral ordered pairs.

      • SS.3.4.5 Create shapes and designs, and identify the points used to produce the shapes and designs, in any quadrant of a Cartesian plane.

    • SS.3.5 Perform and describe transformations (translations, rotations or reflections) of a 2-D shape in all four quadrants of a Cartesian plane (limited to integral number vertices).

SP Statistics and Probability

  • SP.1 Collect, display and analyze data to solve problems.

    • SP.1.1 Demonstrate an understanding of central tendency and range by:

    • SP.1.2 Determine the effect on the mean, median and mode when an outlier is included in a data set.

      • SP.1.2.1 Analyze a given set of data to identify any outliers.

      • SP.1.2.2 Explain the effect of outliers on the measures of central tendency for a given data set.

      • SP.1.2.3 Identify outliers in a given set of data, and justify whether or not they are to be included in reporting the measures of central tendency.

      • SP.1.2.4 Provide examples of situations in which outliers would and would not be used in reporting the measures of central tendency.

    • SP.1.3 Construct, label and interpret circle graphs to solve problems.

      • SP.1.3.1 Identify common attributes of circle graphs, such as:

        • SP.1.3.1.a title, label or legend.

        • SP.1.3.1.b the sum of the central angles is 360°.

        • SP.1.3.1.c the data is reported as a percent of the total, and the sum of the percents is equal to 100%.

      • SP.1.3.2 Create and label a circle graph, with and without technology, to display a given set of data.

      • SP.1.3.3 Find and compare circle graphs in a variety of print and electronic media, such as newspapers, magazines and the Internet.

      • SP.1.3.4 Translate percentages displayed in a circle graph into quantities to solve a given problem.

      • SP.1.3.5 Interpret a given circle graph to answer questions.

  • SP.2 Use experimental or theoretical probabilities to represent and solve problems involving uncertainty.

    • SP.2.4 Express probabilities as ratios, fractions and percents.

    • SP.2.5 Identify the sample space (where the combined sample space has 36 or fewer elements) for a probability experiment involving two independent events.

      • SP.2.5.1 Provide an example of two independent events, such as:

        • SP.2.5.1.a spinning a four section spinner and an eight-sided die and explain why they are independent.

        • SP.2.5.1.b tossing a coin and rolling a twelve-sided die and explain why they are independent.

        • SP.2.5.1.c tossing two coins and explain why they are independent.

        • SP.2.5.1.d rolling two dice and explain why they are independent.

      • SP.2.5.2 Identify the sample space (all possible outcomes) for each of two independent events, using a tree diagram, table or other graphic organizer.

    • SP.2.6 Conduct a probability experiment to compare the theoretical probability (determined using a tree diagram, table or other graphic organizer) and experimental probability of two independent events.

      • SP.2.6.1 Determine the theoretical probability of a given outcome involving two independent events.

      • SP.2.6.2 Conduct a probability experiment for an outcome involving two independent events, with and without technology, to compare the experimental probability with the theoretical probability.

      • SP.2.6.3 Solve a given probability problem involving two independent events.