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Grade 4 · Geometry

Line Symmetry

Line symmetry is the geometric property where one half of a figure is the mirror image of the other. Every regular polygon has as many lines of symmetry as it has sides: a square has 4, a regular hexagon has 6, an equilateral triangle has 3. This pattern is a beautiful mathematical discovery accessible through investigation. First Peoples art forms — birchbark biting, regalia borders, canoe designs — use bilateral symmetry as a fundamental design principle.

LESSON VIDEO
Lesson video
A short walkthrough to play in class or assign for flipped/at-home viewing.
WHAT STUDENTS WILL LEARN
Identify lines of symmetry in 2D shapes and real-world designs
Determine the number of lines of symmetry in regular polygons
Create symmetrical designs by reflecting a shape across a line of symmetry
Explore line symmetry in First Peoples art, borders, birchbark biting, and canoe building
Identify symmetry in architecture and design in local First Peoples structures