Scoilnet

Search Resources
Browse Resources
Add a Resource
School level

14th May

14th May: Coordinate Geometry of the Circle

Learning Outcomes

In addition to the OL learning outcomes, students studying at HL should be able to:

  •  Recognise that x2 + y2 + 2gx + 2fy + c = 0 represents the relationship between the x and y coordinates of points on a circle with centre (-g,-f) and radius r where  r = √ (g2 + f2 – c)
  • Solve problems involving a line and a circle

Explanatory Videos
Student Activities
GeoGebra File
SEC Exam Questions

Circle Properties - Part 1

https://youtu.be/H247_Gs6GOg Added: 20 Jun 2018 Contributor: UCD MSC Resource type: Audio / Video

Examine the terminology and properties of the circle with this informative 3-minute video clip. This video was produced by the UCD Maths Support Centre in conjunction with UCD access centre.

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 1. Synthetic Geometry

Suggestions for use: Flipped learning - Assign the video as a homework task. Students watch the video at home and can then apply what they learned in the next lesson.

Report this resource
Asset type: Video
Language: English
Rights: All rights reserved
Special Needs:

Close full description

Circle Properties - Part 2

https://www.youtube.com/watch?v=G_sDQb9mV3g Added: 17 Jul 2018 Contributor: UCD MSC Resource type: Audio / Video

Video investigates the properties of a circle by examining the following points:
A) Angle at the centre of circle compared with the angle at the circumstances.
B) Two angles in a circle standing on the same arc.
C) Cyclic Quadrilaterals
D) Angles in a Semicircle

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 1. Synthetic Geometry

Report this resource
Asset type: Video
Language: English
Rights: All rights reserved
Special Needs:

Close full description

Circle with centre at (h, k)

https://www.scoilnet.ieuploads/resources/33012/32756.pdf Added: 13 May 2020 Contributor: PDST Resource type: Worksheet

This student activity accompanies the GeoGebra file of the same name for students to investigate the equation of these circles.

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Report this resource
Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

Close full description

Circle with centre at (-g, -f)

https://www.scoilnet.ieuploads/resources/33013/32757.pdf Added: 13 May 2020 Contributor: PDST Resource type: Worksheet

This student activity accompanies the GeoGebra file of the same name that focuses on coordinate geometry of the circle.

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Report this resource
Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

Close full description

Equation of a circle with centre (0, 0)

https://www.geogebra.org/classic/jr2steag Added: 25 Mar 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

Use Pythagoras' theorem to discover the equation of a circle with centre (0, 0)

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: This geogebra file can be used as a demonstration or an exploratory tool to show that pythagoras' theorem can be used to discover the equation of a circle.

Report this resource
Asset type: Online Resource
Language: English
Rights: Attribution-Noncommercial Creative Commons
Special Needs:

Close full description

Equation of a circle with centre (h, k)

https://www.geogebra.org/classic/ukufacyx Added: 25 Mar 2020 Contributor: PDST Resource type: Demonstration / Simulation / Tool

Use Pythagoras' theorem to discover the equation of a circle when it's centre is not at (0, 0).

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Suggestions for use: This geogebra file can be used as a demonstration or an exploratory tool to show that pythagoras' theorem can be used to discover the equation of a circle.

Report this resource
Asset type: Online Resource
Language: English
Rights: Attribution-Noncommercial Creative Commons
Special Needs:

Close full description

Geogebra - Circles with centre (-g, -f)

https://www.geogebra.org/m/XK6rD007 Added: 13 May 2020 Contributor: PDST Resource type: Tool

This file accompanies the student activity sheet of the same name to allow students to investigate these circles.

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Report this resource
Asset type: Online Resource
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

Close full description

2019 HL Paper 2 Q3

https://www.scoilnet.ieuploads/resources/33010/32754.pdf Added: 13 May 2020 Contributor: PDST Resource type: Exam Papers

This exam question looks at the circle with coordinate geometry.

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Report this resource
Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

Close full description

2019 LC HL P2 Circle Question

https://www.scoilnet.ieuploads/resources/33011/32755.pdf Added: 13 May 2020 Contributor: PDST Resource type: Exam Papers

This exam questions looks at coordinate geometry of the line and circle

View full description
SC Mathematics
Add to My Favourites
Rate this resource
Add to Learning Path

How it maps to the curriculum

SC
Mathematics

Strand: 2. Geometry & Trigonometry

Strand unit: 2. Co-ordinate Geometry

Report this resource
Asset type: Document
Language: English
Rights: Attribution-Noncommercial Share Alike Creative Commons
Special Needs:

Close full description
Add a resource

Did you know that your Internet Explorer is out of date

To get the best possible experience using our website we recommend that you upgrade to a newer version or other web browser.

Upgrade your browser now

Registering for a Scoilnet Account – your first step to contributing and sharing

What you need...

To register for a Scoilnet Account you will need to have a Teaching Council number and a roll number for your school in Ireland.

If you already have a Scoilnet Account then you can sign in here.

The benefits...

A Scoilnet account will allow you to upload your resources or weblinks to Scoilnet as well as enabling you to share and add resources to a favourites listing. Users who have a Scoilnet Account will also be able to fully access Scoilnet Maps and Census@School from home.

Register

Add this resource to your Learning Path

You need to login before you can add this resource to a Learning Path

Login