Prior Content: GCSE/IGCSE Drawing & Using Graphs
Previous Section: Co-Ordinate Geometry
Next Section: Polynomials
Contents
- Whole Topic Notes
- 6A Mid-Points of Line Segments
- 6B Perpendicular Bisectors of Line Segments
- 6C Equations of Circles
- 6D Lines Intersecting Circles
- 6E Applying Circle Theorems
- 6F Finding the Centre from Chords
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Circles Section
- Dr Frost Circles Slides
- Blank Notes to Follow Slides Word Doc & PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
6A Mid-Points of Line Segments
*Note I like to teach 6A and 6B together. Resources for this are in the 6B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
No Live Lesson by Bicen Maths for this Section
Download Blank Notes
Notes in Next Section
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 320 Find the Midpoint of Two Points.
- 321 Find the Coordinates of a Point that Shares a Line in a Ratio.
- 322 Find a Coordinate Given Another and Their Midpoint.
- K187d: Find the coordinate of a point between the x and y intercepts in a particular ratio.
- Combination of All
Coordinates Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- JellyMaths Coordinate Geometry Group Cards (TES Account Required)
- The Chalk Face Midpoints, Line Segments
Worksheets
- The Chalk Face Midpoints Questions
- kutasoftware Worksheets
6B Perpendicular Bisectors of Line Segments
*Note I like to teach 6A and 6B together. Resources for this are in the 6B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (Short)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 655 Find the perpendicular bisector of a line.
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Standards Unit Connecting Perpendicular Lines
Worksheets
6C Equations of Circles
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (Up to 9:51)
- 351 Find an equation of a circle centred at the origin which is drawn. Key Skill Video (GCSE)
- 353 Find an equation of a circle centred at the origin given its radius. Key Skill Video (GCSE)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 657 Use the equation of a circle to find its centre and radius.
- 658 Write down the equation of a circle given the centre and radius.
- 659 Find the equation of a circle from the endpoints of the diameter.
- Combination of all
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
- 349 Plot the graph of a circle centred at the origin.
- 350 Plot the graph of a circle not centred at the origin (FM).
- 351 Find an equation of a circle centred at the origin which is drawn.
- 352 Find an equation of a circle which is drawn (FM).
- 353 Find an equation of a circle centred at the origin given its radius.
- 354 Find an equation of a circle given its radius and centre (FM).
- Combination of all
Curved Graphs GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Conic Sections
Activities
- Mr Etheridge Circle Equation Match (TES Account Required)
- Underground Maths Teddy Bear (similar to Mr Etheridge), Pairs of Circles (Good Extension Problem)
- Ben Sparkes Geogebra Interactive Activity
Worksheets
- Dr Austin Maths
- Radius and Diameter of a Circle Fill in the Blanks (Editable Word | PDF | Answers)
- Equation of a Circle Practice Strips (Editable Word | PDF | Answers)
- Equation of a Circle Fill In The Blanks (Editable Word | PDF | Answers)
- Jethwa Maths Starter Activities (p5-6)
- Solomon C2 Co-Ordinate Geometry A Questions & Solutions (First Page Only)
- Mathematics Assessment Project Equations of Circles 2 (p14 Onwards)
- kutasoftware Worksheets
6D Lines Intersecting Circles
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 9:51 to 13:28)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- martahidegkuti.com Circle Problems 1 (with Notes Beforehand)
- Jethwa Maths Starter Activities (p1-2)
- The Chalk Face Simultaneous Line and Curve
6E Applying Circle Theorems
*Note I like to teach 6E and 6F together. Resources for this are in the 6F Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 13:28)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Practice Questions
Other resources
6F Finding the Centre from Chords
*Note I like to teach 6E and 6F together. Resources for this are in the 6F Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 13:28)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (Very Short & Limited)
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Underground Maths Finding Circles
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Co-Ordinate Geometry
Whole Topic Videos
Bicen Maths Exam Questions
Activities
- @bucksburnmaths Increasingly Difficult Circle Equations
Worksheets
- martahidegkuti.com Circle Problems 1
- martahidegkuti.com Circle Problems 2 (Some Good Extension Qs Here)
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Jethwa Maths Worksheet (p4-7), Topic Test (p5-9)
- Dr Frost Topic Test (Teacher Log in Required)
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Naiker Maths Exam Qs (2005-2011) & MS
- PMT
- Summary Straight Lines PPQs
- AQA C1 Coordinate Geometry PPQs
- Edexcel Set 1 Co-Ordinate Geometry – Circles PPQs (Old Spec)
- Edexcel Set 2 Co-Ordinate Geometry – Circles PPQs (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry – Circles 1 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry – Circles 2 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry – Circles 3 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry – Circles 4 PPQs & MS (Old Spec)
- Summary Cheat Sheet