• 7
    Grade 7 Standards
Top Mathematicians
  • Shape and Space
    • 7.SS.1
      Demonstrate an understanding of circles by:
      describing the relationships among radius, diameter and circumference of circles;
      relating circumference to π;
      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.

      Students who have achieved this outcome should be able to:
      A. Illustrate and explain that the diameter is twice the radius in a given circle.
      B. Illustrate and explain that the circumference is approximately three times the diameter in a given circle.
      C. Explain that, for all circles, π is the ratio of the circumference to the diameter, (C/d), and its value is approximately 3.14.
      D. Explain, using an illustration, that the sum of the central angles of a circle is 360°.
      E. Draw a circle with a given radius or diameter with and without a compass.
      F. Solve a given contextual problem involving circles.
    • 7.SS.2
      Develop and apply a formula for determining the area of:
      triangles;
      parallelograms;
      circles.

      Students who have achieved this outcome should be able to:
      A. Illustrate and explain how the area of a rectangle can be used to determine the area of a triangle.
      B. Generalize a rule to create a formula for determining the area of triangles.
      C. Illustrate and explain how the area of a rectangle can be used to determine the area of a parallelogram.
      D. Generalize a rule to create a formula for determining the area of parallelograms.
      E. Illustrate and explain how to estimate the area of a circle without the use of a formula.
      F. Apply a formula for determining the area of a given circle.
      G. Solve a given problem involving the area of triangles, parallelograms and/or circles.
    • 7.SS.3
      Perform geometric constructions, including:
      perpendicular line segments;
      parallel line segments;
      perpendicular bisectors;
      angle bisectors.

      Students who have achieved this outcome should be able to:
      A. Describe examples of parallel line segments, perpendicular line segments, perpendicular bisectors and angle bisectors in the environment.
      B. Identify line segments on a given diagram that are parallel or perpendicular.
      C. Draw a line segment perpendicular to another line segment and explain why they are perpendicular.
      D. Draw a line segment parallel to another line segment and explain why they are parallel.
      E. Draw the bisector of a given angle using more than one method and verify that the resulting angles are equal.
      F. Draw the perpendicular bisector of a line segment using more than one method and verify the construction.
    • 7.SS.4
      Identify and plot points in the four quadrants of a Cartesian plane using integral ordered pairs.
      Students who have achieved this outcome should be able to:
      A. Label the axes of a four quadrant Cartesian plane and identify the origin.
      B. Identify the location of a given point in any quadrant of a Cartesian plane using an integral ordered pair.
      C. 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.
      D. Draw shapes and designs, using given integral ordered pairs, in a Cartesian plane.
      E. Create shapes and designs, and identify the points used to produce the shapes and designs in any quadrant of a Cartesian plane.
    • 7.SS.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).
      Students who have achieved this outcome should be able to:
      A. Identify the coordinates of the vertices of a given 2-D shape on a Cartesian plane.
      B. Describe the horizontal and vertical movement required to move from a given point to another point on a Cartesian plane.
      C. Describe the positional change of the vertices of a given 2-D shape to the corresponding vertices of its image as a result of a transformation or successive transformations on a Cartesian plane.
      D. Determine the distance between points along horizontal and vertical lines in a Cartesian plane.
      E. Perform a transformation or consecutive transformations on a given 2-D shape and identify coordinates of the vertices of the image.
      F. Describe the positional change of the vertices of a 2-D shape to the corresponding vertices of its image as a result of a transformation or a combination of successive transformations.
      G. Describe the image resulting from the transformations of a given 2-D shape on a Cartesian plane by identifying the coordinates of the vertices of the image.
  • Statistics & Probability
  • Number
  • Patterns and Relations