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Investigate its history and the mathematics of symmetry. Make models of kaleidoscopes in a dynamic geometry program (Cabri or Geometers Sketchpad). Demonstrate why only certain angles work.
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Identify and analyze examples of symmetry in mathematical shapes and natural objects. Draw various geometric shapes and identify lines of symmetry. Measure and record the dimensions and angles to confirm symmetry. Collect natural objects and observe their symmetrical properties.
Experiment with math by making predictions (probability and statistics) or discovering more about shapes (geometry and topology). Make a math model with everyday items (M&Ms and dice) or on the computer. Do a proof to discover a theorem for yourself or even make art by arranging shapes.
Is Mathematics Discovered or Invented? [E] Examine the correlation between the Fibonacci sequence and the spiral phyllotaxis, or leaf arrangement, of various plants occurring in nature. [E]
Challenge your mind with these mathematics-related experiments. Discover the beauty and logic behind statistics and equations. Try your hand at building cool devices and exploring amazing reactions with these sixth grade science experiments.
In this activity, your children will be little investigators helping Pi the investigator to solve tricky problems and find creative answers to the question: What is symmetry? By doing that, they get to practice concepts like symmetry, painting, and more. Activity length: 20-30 minutes
Is Mathematics Discovered or Invented? [E] Use algebra and geometry to calculate the relative probability of making a successful bank shot from different positions on the court, keeping the distance to the hoop constant. Then test if you can reproduce your predictions with a scale model. [E]
