Since both the grade 7s & 8s are learning about bisectors and geometric properties [specifically angles in a triangle (7/8) & angles created by intersecting lines (8)]; it's a good idea to get students thinking about what they've already learned, while getting familiar with the tools used commonly when exploring geometry (compass, ruler, protractor, etc.)
Grade 8s started with an exploration about constructing circles using ONLY the compass, while provided with a) centre and a point on the circle; b) centre and the radius; c) three points on a circle; Students were expected to discover that the opening of the compass is the radius of the circle; and they also began to question whether there's a connection between the centre of a circle and the centre of a triangle.
Grade 7s started with an exploration about angles; they were provided with a sheet of paper, with no tool allowed, and were asked to construct three angles: 30, 45, and 60 degrees, as accurate as possible. Students were expected to discover the purpose of angle bisectors, while activating their background knowledge about angles.
Both grades then continued with an investigative activity (finding the midpoint of a line segment) and began to think about bisectors.
Check out some of the student reflections here:
Grade 7 students in Mrs. Fairbarn's Class
Grade 8 students in Mrs. Fernandes' Class
How does these concepts relate to our lives? What are some real-life applications involving bisectors, angles, and geometric properties?
Looking forward to hear your feedback~
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