Prior Content: Angles (Including Parallel Lines) – in particular Angle Notation & Bearings.
Possible Next Steps: Circle Theorems, Circles & Sectors, Similar Shapes, Advanced Trigonometry
Contents
- 0.1 Accurate Measurements
- 1.1 Perpendicular Bisectors/ Locus Equidistant Between Two Points
- 1.2 Angle Bisector/ Locus Equidistant Between Two Lines
- 1.3 Perpendicular Line Through a Point on a Line
- 1.4 Perpendicular Line Through a Point not on a Line
- 1.5 Parallel Lines
- 1.6 Incircles & Circumcircles
- 2.1 Locus Around a Point
- 2.2 Locus Around Shapes
- 3.1 Constructing Triangles (All at once)
- 3.1.1 Constructing Triangles: SSS
- 3.1.2 Constructing Triangles: ASA
- 3.1.3 Constructing Triangles: SAS
- 3.1.4 Constructing Triangles: RHS
- 3.2 Constructing Triangles: The Ambiguous Case of SSA
- Whole Topic Summary Resources (Including Past Paper Questions)
0.1 Accurate Measurements
Teaching Videos, Exercises & Activities
Tutorial Videos
Measuring to the nearest cm and mm by 2minutemath
Geometry Lesson 5: How to use a compass by Mr Moore Maths 'N' Music
Reading Scales by KSAMathematics
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Go Teach Maths
- fionajones88
- SMILE
- Reading scales✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
Worksheets
- Maths 4 Everyone
- Pixi Maths
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 15c: Measure a line correct to the nearest millimetre.
- 15d: Draw a line correct to the nearest millimetre.
- 284a: Understand Euclid’s Postulates that form the basis of constructing diagrams with a straight edge and compass. (not yet active)
- 284b: Construct a circle with a given radius. (not yet active)
- 284g: Construct a line segment of a given length on a given ray (not yet active)
- 15: Exam Practice: Measuring using scales of lengths, mass and capacity
- 284: Exam Practice: Constructions with lines and angles
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.1 Perpendicular Bisectors/ Locus Equidistant Between Two Points
Teaching Videos, Exercises & Activities
Dr Frost Resources
Extension Materials
1.2 Angle Bisector/ Locus Equidistant Between Two Lines
Teaching Videos, Exercises & Activities
Tutorial Videos
Angle Bisectors and Perpendicular Bisectors by The GCSE Maths Tutor
Bisecting an Angle with a Compass – Geometry Constructions by vinteachesmath
How to Construct 30, 45, 60, 90, and 120 degrees by Kaiem Joseph
Corbett Maths Angle Bisector
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
- Don Steward
- Go Teach Maths
- Pixi Maths
- Line and Angle Bisectors ppt (with Video Instructions)
Worksheets
- Pixi Maths
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 284d: Construct the bisector of an angle.
- 284h: Construct a 60 degree angle. (not yet active)
- 284i: Construct a 30 degree angle. (not yet active)
- 284k: Construct a 45 degree angle. (not yet active)
- 285f: Construct the locus of the points equidistant from two lines. (not yet active)
- 284: Exam Practice: Constructions with lines and angles
- 285: Exam Practice: Loci
Further Practice
- Practise Questions
Extension Materials
1.3 Perpendicular Line Through a Point on a Line
Teaching Videos, Exercises & Activities
Tutorial Videos
Creating a Perpendicular Line Through a Point on the Line by Patrick Ausel
Constructing Angles 1 — 60⁰ and 90⁰ Tutorial by CGP Books
How to Construct a Perpendicular Line through a Point on the Line by MathSux
Corbett Maths Perpendicular Through Point on a Line
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
- BossMaths
- G2a Constructing Bisectors & Perpendiculars✦ (Perpendicular bisectors, angle bisectors & perpendiculars; videos)
Worksheets
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 284f: Construct a line perpendicular to another line, passing through a given point on the line.
- 284j: Construct a 90 degree angle. (not yet active)
- 284m: Construct a square given one of the sides. (not yet active)
- 284: Exam Practice: Constructions with lines and angles
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.4 Perpendicular Line Through a Point not on a Line
Teaching Videos, Exercises & Activities
Tutorial Videos
Constructing a Perpendicular Line Through a Point (off the line) by vinteachesmath
Creating a Perpendicular Line Through a Point Not on the Line by Patrick Ausel
Constructing Perpendicular from Point to Line (Geometry) by Mario's Math Tutoring
Corbett Maths Perpendicular from a Line to a Point
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
Worksheets
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 284e: Construct a line perpendicular to another line, passing through a given point.
- 284: Exam Practice: Constructions with lines and angles
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.5 Parallel Lines
Teaching Videos, Exercises & Activities
Tutorial Videos
Constructing Parallel Lines Through a Given Point – Geometry by vinteachesmath
Constructing a Parallel Line Through a Given Point 128-2.21 by HCCMathHelp
Dividing a line segment into equal parts (Thales theorem) by Arthur Geometry
Dividing a Line Segment into 3 Equal Parts – Geometry Constructions by vinteachesmath
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com (Other methods available on site too)
Worksheets
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 284n: Construct a line parallel to another line, passing through a given point. (not yet active)
- 284o: Construct a division of a line segment into two equal segments. (not yet active)
- 284p: Construct a division of a line segment into three equal segments. (not yet active)
- 284q: Construct a division of a line segment into more than three equal segments. (not yet active)
- 284: Exam Practice: Constructions with lines and angles
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.6 Incircles & Circumcircles
Teaching Videos, Exercises & Activities
Tutorial Videos
How to construct CIRCUMCIRCLE & INCIRCLE of a Triangle by EduCeption
Construction 16 Circumcentre and Circumcircle Of A Triangle – Leaving Cert & Junior Cert Maths by TheMathsTutor.ie
Construction 17. Incentre and incircle of a triangle of a given triangle by TheMathsTutor.ie
How to draw a regular hexagon inscribed in a circle by Arthur Geometry
Online Platforms (with Videos & Exercises)
- Khan Academy
- Incircles & circumcircles: Videos & practice
Activities & Resources
- mathopenref.com
- Incircles:
- Circumcircles:
- Don Steward
- Interactive Maths
- Euler Line (Centres of a Triangle): GeoGebra
Worksheets
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 284l: Construct a hexagon inside a circle. (not yet active)
- 320a: Construct the circumcentre and circumcircle of a triangle. (not yet active)
- 320b: Construct the incentre and incircle of a triangle. (not yet active)
- 320c: Construct a tangent to a circle at a point. (not yet active)
- 320d: Construct the centroid of a triangle. (not yet active)
- 320e: Construct the orthocentre of a triangle. (not yet active)
- 284: Exam Practice: Constructions with lines and angles
- 320: Exam Practice: Further constructions involving relationships of triangles and circles (not yet active)
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.1 Locus Around a Point
Teaching Videos, Exercises & Activities
Tutorial Videos
Loci by Maths Genie
Loci – GCSE Maths by 1st Class Maths
Corbett Maths Loci Part 1
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Don Steward
- Transum
- Goal Free Problems
- Go Teach Maths
- BossMaths
- G2c Loci✦ (Interactive loci applets)
- The Chalkface
Worksheets
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.2 Locus Around Shapes
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Loci Part 1
Corbett Maths Loci Part 2
Corbett Maths Loci Part 3
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
- Animated Instructions
- Printout Instructions
- Worksheet
- Pixi Maths
- Unknown Author Find the Hidden Treasure Word Doc or PDF & Map
- WW Lord of the Rings Find the Rings Loci Activity; ppt & Map (Word Doc or PDF) and Opening Video
- Don Steward
- Transum
- Miss Konstantine (MathsHKO)
- esheets.io
- Durham Maths Mysteries (Shirley Fall, Durham County Council)
- Locus Mystery (card-sort mystery;
Worksheets
- Dr Austin Maths
- Corbettmaths
- Loci Practice Questions & Solutions
- Loci Worksheet & Solutions
- Pixi Maths
- The Chalkface
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 285b: Construct the locus of the points away from at least two line segments.
- 285c: Construct the locus of the points away from a point and a line segment.
- 285d: Construct the locus of the points away from a shape. (not yet active)
- 285g: Construct the locus of points given multiple criteria. (not yet active)
- 285: Exam Practice: Loci
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.1 Constructing Triangles (All at Once)
Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
- Khan Academy
- Constructing triangles: Videos & practice
Activities & Resources
- Pixi Maths
- Transum
- Go Teach Maths
- BossMaths
- CP3 Maths (cparkinson3)
Worksheets
- Corbettmaths
- Constructing Triangles Practice Questions & Solutions
- Constructing Triangles Worksheet & Solutions
- Pixi Maths
- Dr Austin Maths
- CIMT MEP (online self-checking)
- Mr Morley Maths
- Constructing Triangles: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 137c: Draw a triangle given the side lengths and angles, using a ruler and protractor. (not yet active)
- 286a: Construct an equilateral triangle given one of its edges. (not yet active)
- 286b: Construct a triangle given two angles and a side (ASA).
- 286c: Construct a triangle given a right-angle, another angle and a side (ASA). (not yet active)
- 286d: Construct a triangle given three sides (SSS). (not yet active)
- 286e: Construct a triangle given two sides and their included angle (SAS). (not yet active)
- 286f: Construct a right-angled triangle given the lengths of the hypotenuse and another side. (not yet active)
- 286g: Construct a parallelogram given the length of the sides and the measure of the angles. (not yet active)
- 137: Exam Practice: Drawing 2D shapes to scale given dimensions and angles
- 286: Exam Practice: Drawing and constructing triangles
Further Practice
- Practise Questions
Extension Materials
Other Videos & Multimedia
Corbett Maths Constructing Triangles & 60 Degree Angles
Corbett Maths Construct 90 Degree Angle
Corbett Maths Constructing a 30 Degree Angle
Corbett Maths Construct 45 Degree Angle
Corbett Maths Hexagon within a Circle
Activities & Resources
- mathopenref.com
Worksheet
3.1.1 Constructing Triangles: SSS
Teaching Videos, Exercises & Activities
Dr Frost Resources
Extension Materials
3.1.2 Constructing Triangles: ASA
Teaching Videos, Exercises & Activities
Tutorial Videos
Constructing Triangles by Lambeth Academy
How to draw a triangle, given the length of one side and the measures of two angles (Step by Step) by El-Proof Learning
Constructing Triangles by The GCSE Maths Tutor
Corbett Maths Constructing ASA Triangles
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
Worksheets
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 286b: Construct a triangle given two angles and a side (ASA).
- 286c: Construct a triangle given a right-angle, another angle and a side (ASA). (not yet active)
- 286: Exam Practice: Drawing and constructing triangles
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.1.3 Constructing Triangles: SAS
Teaching Videos, Exercises & Activities
Tutorial Videos
Constructing Triangles – SAS by MrArnoldsMaths
How to draw a triangle, given the length of two sides and the measures of one angle (Step by Step) by El-Proof Learning
Constructing Triangles by Lambeth Academy
Corbett Maths Constructing SAS Triangles
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
Worksheets
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 286e: Construct a triangle given two sides and their included angle (SAS). (not yet active)
- 286: Exam Practice: Drawing and constructing triangles
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.1.4 Constructing Triangles: RHS
Teaching Videos, Exercises & Activities
Tutorial Videos
Constructing Triangles RHS (using compasses and ruler ONLY) by You Can Teach Them
Construction of Triangles- SAS, ASA and RHS by APC BOOKS
How to draw a right triangle given its hypotenuse and one of its legs by Arthur Geometry
Online Platforms (with Videos & Exercises)
Activities & Resources
- mathopenref.com
Worksheets
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 286f: Construct a right-angled triangle given the lengths of the hypotenuse and another side. (not yet active)
- 286: Exam Practice: Drawing and constructing triangles
Further Practice
- Practise Questions
Extension Materials
Worksheet
3.2 Constructing Triangles: The Ambiguous Case of SSA
Teaching Videos, Exercises & Activities
Tutorial Videos
SSA How Many Triangles are Possible? (Ambiguous Case) by Mario's Math Tutoring
Sine Rule: The Ambiguous Case by Eddie Woo
Sine Rule – The Ambiguous Case | ExamSolutions Maths Revision by ExamSolutions
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
Dr Frost Videos
- Topic Video
- KS 136 Angles in a triangle
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download Constructions PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Constructions and loci as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
Activities & Resources
- Corbettmaths
- Constructions Practice Questions & Solutions
- mathopenref.com additional constructions. visit each page for printouts and worksheets. Even more available as links at the bottom of each page, I have selected a few that may interest.
- WW Constructions & Loci Booklet as Word or PDF
- WW Constructions Only Booklet as Word or PDF
- Andy Lutwyche
- NRICH (student problems)
- Don Steward
- The Chalkface
- Shapes of Constant Width: PDF · PowerPoint
- Transum
- Go Teach Maths
- Dan Walker
- mathsonline.org
- MathsPad
- Euclid: The Game
- Miss Konstantine (MathsHKO)
- Dr Austin Maths
Worksheets
- Dr Austin Maths
- Mathshelper (Jon Stone)
- MathedUp
- Constructions & Loci: Worksheet · Practice · Quiz · Question Gallery
- Maths Genie
- Loci and Construction: Booklet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Naiker Maths
- Loci & Constructions: Worksheet
- Physics & Maths Tutor
- Access Maths
- MME
External
- NCETM
- NCETM Checkpoints: Constructions (diagnostic tasks)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.