Mathematics 7 Geometry - Constructions
Specific Curriculum Outcomes
G01 Students will be expected to perform geometric constructions, including: perpendicular line segments, parallel line segments, perpendicular bisectors and angle bisectors.
***While the terms draw and construct are sometimes used interchangeably, it is important to note that constructions are performed using a compass and straight edge (without markings) as tools. Drawings may use the same tools as constructions, as well as Mira, mirrors, patty paper, and rulers. Measurements can be used in drawings. A sketch is a drawing completed without drawing tools. - NS Curriculum Guide
G01 Students will be expected to perform geometric constructions, including: perpendicular line segments, parallel line segments, perpendicular bisectors and angle bisectors.
***While the terms draw and construct are sometimes used interchangeably, it is important to note that constructions are performed using a compass and straight edge (without markings) as tools. Drawings may use the same tools as constructions, as well as Mira, mirrors, patty paper, and rulers. Measurements can be used in drawings. A sketch is a drawing completed without drawing tools. - NS Curriculum Guide
activities
- Geometric Constructions as Puzzles from David Wees - David shows a series of puzzles solved with geometric constructions using Geogebra sheets.
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- Desmos Activities - Constructing Lines and Angles from David Petro - In these four activities, students are walked through the steps to construct parallel lines, perpendicular lines, perpendicular bisectors and angle bisectors using Desmos and then given the same instructions to use via physical constructing. Note that, even though Desmos geometry has tools to create perpendicular and parallel lines we won't be using them in order to mimic what would be done in the real construction.
- Voronoi Diagrams from Mr. Dyck - Students create a Voronoi diagram by bisecting lines between points. This could also be done as part of the NCTM Illuminations lesson on Dividing a Town into Pizza Delivery Regions.
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- Geometric Constructions Snowflakes from @TheMathGhost - This teachers had their students design snowflakes using compass and straight edge.
- Draw Islamic Geometric Patterns With A Compass And Ruler - Students could investigate and learn how to draw traditional Islamic geometric patterns using a compass and ruler. Samira Mian has a number of youtube tutorials. She also has an online course from Udemy that I'm currently enrolled in that demonstrates how to construct four Islamic Geometric Patterns: A Sixfold Pattern: The Star and Hexagon; An Eightfold Pattern: The Khatam; A Sixfold Pattern: The Ferozkoh Jaali; An Eighfold Pattern: The Geometric Rosette.
- Constructions Castles from Cheesemonkey Wonders - A Constructions Castle drawing project to give students plenty of practice doing constructions while also giving them a chance to develop their understanding of how shapes and angles fit together. Julie Wright also blogged about this project here.
- Euclidea App for iPad/iPhone - This free app allows students to solve geometric problems by using compass and straightedge constructions. I really like the way it allows students to explore constructions and builds up to more and more complicated constructions gradually.
- MathsPad Constructions Tool - An online compass and straight edge that is surprisingly easy to use.
- Bisecting a Line Segment and Angle Bisector videos - A YouTube video demonstrating how to bisect a line in the classical Greek style... literally.