This resource contains six activities for use in the classroom when exploring the properties of circles. It progresses from the basic reminder of the formula for circumference and area. Each section includes a basic introduction with examples or short investigations. This is then followed by a range of question. Could be used by students working in pairs or small groups to consolidate existing knowledge and then working independently to extend their learning. The sections are:
The Circle: Contains a variety of questions requiring students to calculate the circumference and the area of circles. Given values for the diameter or radius of the circle. The second section contains questions requiring students to find the diameter or the radius given the circumference or the area. The third section has problems set in context.
Drawing Circles: Begins by defining the radius, diameter and circumference and asking students to draw circles with a given radius, circumference or area. The following section is more challenging requiring students to draw two circles with the same centre, one property of each circle being given.
The Annulus: the shape formed between two circles. Students explore the properties of the annulus by completing a table with values of pertaining to the properties of the inner circle, the outer circle and the annuls.
Circles 2: Contains a series of questions set in a variety of contexts.
Sectors: Begins by defining major and minor sector, and explaining how to calculate the arc length and the area of a sector of a circle. Students are then required to complete a table of values of properties of a circle and a sector of that circle given different properties from which to start with.
Circles 3: Contains further questions set in a variety of contexts.