Circumference and area (2-year teaching) (8300 - Foundation - 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 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
  • Calculate surface area of spheres, cones and composite solids

  • including frustums
  • solutions in terms of `pi` may be asked for

G18
  • Calculate arc lengths, angles and areas of sectors of circles


N8
  • Calculate exactly with multiples of `pi`



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
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 �½absinC 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
Properties of polygons and circles - Homework sheets
Downloadable resource in doc format. 02/04/2010
Properties of polygons and circles - Parts of a circle - Lesson plan
Downloadable resource in doc format. 09/04/2010
Properties of polygons and circles - Parts of a circle - Powerpoint
Downloadable resource in ppt format. 05/04/2010
Properties of polygons and circles - Parts of a Circle - Scoresheet
Downloadable resource in xls format. 06/04/2010
Properties of polygons and circles - Parts of a circle - Worksheet 1
Downloadable resource in doc format. 04/04/2010
Properties of Polygons and Circles - Parts of a Circle - Worksheet 2
Downloadable resource in doc format. 03/04/2010

Topic Tests

8300 GCSE Foundation Area and Circumference of Circles Practice Mark Scheme
Downloadable resource in pdf format. 14/03/2023
8300 GCSE Foundation Area and Circumference of Circles Practice Topic Test
Downloadable resource in pdf format. 14/03/2023
8300 GCSE Foundation Circle and Sectors Mark Scheme
Downloadable resource in pdf format. 20/02/2023
8300 GCSE Foundation Circle and Sectors Topic Test
Downloadable resource in pdf format. 20/02/2023

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