SS7.1
Demonstrate an understanding of circles including circumference and central angles.

[C, CN, R, V]

Indicators for this outcome
(a)

Identify the characteristics of a circle.

(b)

Define and illustrate the relationship between the diameter and radius of a circle.

(c)

Answer the question "how many radii does a circle have and why?"

(d)

Answer the question "how many diameters does a circle have and why?"

(e)

Explain (with illustrations) why a specified point and radius length (or diameter length) describes exactly one circle.

(f)

Illustrate and explain the relationship between a radius and a diameter of a circle.

(g)

Generalize, from investigations, the relationship between the circumference and the diameter of a circle.

(h)

Define pi (π) and explain how it is related to circles.

(i)

Sort a set of angles as central angles of a circle or not.

(j)

Demonstrate that the sum of the central angles of a circle is 360°.

(k)

Draw a circle with a specific radius or diameter with and without a compass.

(l)

Solve problems involving circles.

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