- Look at the triangle you made in Step One. What fraction of the triangle did you NOT cut out?
- What fraction of the triangle in Step Two is NOT cut out?
- What fraction did you NOT cut out in the Step Three triangle?
- Do you see a pattern here? Use the pattern to predict the fraction of the triangle you would NOT cut out in the Step Four Triangle. Confirm your prediction and explain.
- CHALLENGE: Develop a formula so that you could calculate the fraction of the area which is NOT cut out for any step.
- Write the fractions in the above questions in order from least to greatest. Write a statement about how their order connects to the cutting out process.
- Find another interesting pattern in the fractal called the Sierpinski Triangle. Write a paragraph descibing this pattern.
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