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Grade 7 - Shape and Space

Standard 7.SS.1 - Practice calculating the area, radius, diameter and circumference of a circle.

Included Skills:

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.

If you notice any problems, please let us know.