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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The resources in this series provide a range of open questions that cover the various parts of a problem-solving lesson. These questions may be used to discuss math concepts, to provide practice for concepts and skills, to create extra challenges for students or to act as models for developing your own open questions. Each book in the series focuses on a specific strand: Number, Patterns and Relations/Statistics and Probability and Shape and Space.
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Media and Formats : Book
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Media and Formats : Book
Price : See publisher.
Record posted/updated: May 18, 2022