403 Symmetry in Shapes 1

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Teacher Notes


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Activity OutcomeInvestigating patterns in the number of lines of symmetry in regular polygons. (Patterns)
MTS Set MTS7
NATIONAL Curriculum Shape
Topics Symmetry
2D Shape
Keywords Symmetry, Pattern, 2D Shape
GroupingWhole class, independent and learning pairs.
ResourcesSmall mirror each.
Lesson Notes
  • Direct students to the Investigation and ask: What do you need to find out? What are lines of symmetry? How can you find them with your mirror? How are all of these shapes the same? (Regular polygons where all sides in the shapes are the same length and all angles are the same size.) How many lines of symmetry in an equilateral triangle? In a square?
  • How will you record this information as you collect it? How much information will you collect before you are sure you have a pattern? Would 2 shapes be enough? Why not? 5 shapes?
  • Direct students to carry out the investigation. Look for careful drawing and organization of data on a table to assist in problem solving.
  • Place students with a partner and ask: (Reflections) Can you both describe a pattern? Can you use the pattern to predict the number of lines of symmetry in a decagon? Dodecagon? Any regular polygon?
  • Provide the opportunity for students to share responses.
ReflectionsSee Lesson Notes.
Internet Links
AnswersThe number of lines of symmetry is equivalent to the number of sides in a regular polygon.