Circumference and area (8300 - Higher - Geometry and measures)

Topic:

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 and use the formulae: Circumference of a circle `= 2 pi r = pi d` Area of a circle `= pi r^2` Calculate the perimeters of 2D shapes including circles and composite shapes Calculate areas of circles and composite shapes Calculate surface area of spheres, cones and composite solids	solutions in terms of `pi` may be asked for
G18	Calculate arc lengths, angles and areas of sectors of circles

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

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Diagnostic Questions - Circumference and area

AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic question assessment for our new 2017 GCSE Maths specification.01/03/2016

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

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

Sectors tarsia

A tarsia activity involving finding the area of sectors and segments (which involves section G23h of the specification). 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

Volume of a sphere - how to get the formula

A video which explains how we obtain the formula for the volume of a sphere.17/06/2015

Ratio and Proportion - Cycling - Circumference and Diameter - Supplementary Resources

Downloadable resource in ppt format. 04/05/2010

1.3 MB