Introduction to circumference and area (8300 - Foundation - Geometry and measures)

Topic:

Introduction to circumference and area

Specification references (in recommended teaching order)

	Specification content	Specification notes
G9	Identify and apply circle definitions and properties, including centre, radius, chord, diameter, circumference, tangent, arc, sector and segment
G17	Know the formulae circumference of a circle `= 2 pi r = pi d` area of a circle `= pi r^2` Calculate: perimeters of 2D shapes, including circles and composite shapes Calculate areas of circles and composite shapes

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Arcs, Sectors and Segments

A number of powerpoints which consider finding the length of arcs and areas of sectors in real life contexts. There is an extension into section G23h of the specification to use the formula Ã�Â½absinC to find the area of a segment. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

Area of Composite Shapes

An activity in which students must find an algebraic expression to represent the area of composite shapes made up of rectangles and circles. 17/06/2015

Circle - Maths is Fun

An overview of the names of different circle parts and the methods for finding circumference and area of circles. There are ten interactive multiple choice questions.17/06/2015

Circle Pairs

A simple matching activity in which students must identify matching pairs of images and words for parts of the circle. 17/06/2015

Ice Cream Investigation

Four questions set in real life contexts involving ice cream cones and scoops of ice cream. The questions are quite demanding but might be suitable for more able Foundation tier candidates. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

Arcs and Sectors - Pizza Maths

A worksheet which involves finding arc lengths, sector areas and reverse problems to find the angle of a sector. The questions are set in the context of pizza slices. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

Area and circumference worksheet

A worksheet on finding the area and perimeter of circles and composite shapes made from rectangles and circles. Answers are provided. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

The circle and other things

A straightforward powerpoint and worksheet involving naming the various parts of a circle. You will need to register for a TES account to access this resource, this is free of charge. 17/06/2015

Area of a circle - how to get the formula

A video which clearly explains how to deduce the formula for the area of circle by splitting into sectors.17/06/2015

Circle Song

YouTube Circle song 29/08/2014

Mathematical Pi Song

YouTube Pi Song29/08/2014

Circles

Circumference of a circle activity 29/08/2014

Perimeter, area and volume - Homework sheets

Downloadable resource in doc format. 06/04/2010

180 KB 107 KB

Properties of polygons and circles - Homework sheets