Grade 7 - Shape and Space
Standard 7.SS.1 - Calculate the circumference, area, radius and diameter of a circle in a word problem.
Included Skills: Geometry
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. • Achievement Indicators - Illustrate and explain that the diameter is twice the radius in a given circle. - Illustrate and explain that the circumference is approximately three times the diameter in a given circle. - Explain that, for all circles, pi is the ratio of the circumference to the diameter (C/d), and its value is approximately 3.14. - Explain, using an illustration, that the sum of the central angles of a circle is 360°. - Draw a circle with a given radius or diameter with and without a compass. - Solve a given contextual problem involving circles.