1/13/2024 0 Comments Geometry x logoencouraging mahi tahi (collaboration) among students.using collaborative grouping so students can support each other and experience both tuakana and teina roles.encouraging sharing and discussion of students’ thinking.drawing lines of symmetry on a paper copy of a shape helping students to represent reflections and rotations diagrammatically to ease memory load and support thinking, e.g.modelling reflections and rotations, and expecting students to copy your actions before attempting problems independently.ensuring that students have access to physical manipulatives that enable them to act out folds/reflections and turns of shapes.The learning opportunities in this unit can be differentiated by providing or removing support to students, and by varying the task requirements. Creatures are approximately symmetrical and reflections in water are a common example of mirror symmetry. Human beings are naturally appreciative of symmetry, possibly because it is prevalent in the natural world. The mathematics of symmetry is found in decorative design, like kowhaiwhai in wharenui, and wallpaper patterns, and motifs such as logos. Since the logo maps onto itself three times in a full turn of 360⁰, the figure has rotational symmetry of order three. Each turn of 120⁰ (one third of one full rotation) maps the logo onto itself. This logo also has rotational symmetry about a point. T here are three lines where a mirror could be placed and the whole figure could be seen, with the image in the mirror forming the hidden half. A shape has symmetry if it has spatial pattern, meaning it maps onto itself either by reflection about a line, or rotation about a point.Ĭonsider the Mitsubishi logo. This unit centres on symmetry, particularly reflective and rotational symmetry, although there is some reference to translation symmetry.
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